If €1 is £0.72
What is £1 in €

Answers

Answer 1

Answer:

€1.39

Step-by-step explanation:

£0.72 ÷ 0.72 = 1÷0.72

£1= €1.39


Related Questions

Work out the area of the shaded

Answers

Hi there!

[tex]\large\boxed{73m^2}}[/tex]

Once again, divide the figure into 3 rectangles:

Top rectangle:

3m × 5m = 15m²

Long rectangle (subtract 5m from 9m to get the width):

12m × 4m = 48m²

Bottom rectangle:

2m × 5m = 10m²

Add up areas:

15m² + 48m² + 10m² = 73m²

Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?

Answers

Answer:


(7,3)


Hope this helps

Given ACM, angle C=90º. AP=9, PM=12. Find AC, CM, AM.

Answers

Answer:

AM = 25, AC = 15, CM = 20

Step-by-step explanation:

The given parameters are;

In ΔACM, ∠C = 90°, [tex]\overline{CP}[/tex] ⊥ [tex]\overline{AM}[/tex], AP = 9, and PM = 16

[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = [tex]\overline{AM}[/tex]²

[tex]\overline{AM}[/tex] = [tex]\overline{AP}[/tex] + PM = 9 + 16 = 25

[tex]\overline{AM}[/tex] = 25

[tex]\overline{AC}[/tex]² = [tex]\overline{AP}[/tex]² + [tex]\overline{CP}[/tex]² = 9² +  [tex]\overline{CP}[/tex]²

∴ [tex]\overline{AC}[/tex]² = 9² +  [tex]\overline{CP}[/tex]²

Similarly we get;

[tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]²

Therefore, we get;

[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = 9² +  [tex]\overline{CP}[/tex]² + 16² + [tex]\overline{CP}[/tex]² = [tex]\overline{AM}[/tex]² = 25²

2·[tex]\overline{CP}[/tex]² = 25² - (9² + 16²) = 288

[tex]\overline{CP}[/tex]² = 288/2 = 144

[tex]\overline{CP}[/tex] = √144 = 12

From [tex]\overline{AC}[/tex]² = 9² +  [tex]\overline{CP}[/tex]², we get

[tex]\overline{AC}[/tex] = √(9² +  12²) = 15

[tex]\overline{AC}[/tex] = 15

From, [tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]², we get;

[tex]\overline{CM}[/tex] = √(16² + 12²) = 20

[tex]\overline{CM}[/tex] = 20.

Which is the pair of congruent right angles?
A).CAB=DAE
B).CBA=DEA
C).BCA=EDA
D).ACB=ADE

Answers

Answer:

It's C

Step-by-step explanation:

PLEASE ASAP
c) Next, you will make a scatterplot. Name a point that will be on your scatterplot and describe what it represents.

d) Using the regression calculator in your tool bar, create a scatterplot using your data set from step 1. Insert a screenshot of your scatterplot, or recreate it below.

The data is in the pic below

If u want more points for the answer, pls answer the previous question (same one) in my profile worth 30 points)
THX

Answers

Answer:

C)Ok i pick the point (18,4)

this point represents that if this person studied from 18 hours they got a GPA of 4.0

D) the chart below is the scatter plot

Hope This Helps!!!

Which of the following numbers does not have
factors that include the smallest factor (other
than 1) of 119 ?
A. 28
B. 35
C. 40
D. 63

Answers

Answer:

C. 40

Step-by-step explanation:

The smallest factor of 119 (other than 1) is 7.

28/7 = 4,

35/7 = 5,

40/7 = 5 5/7

63/7 = 9

So it is 40

this is my last set of questions if anyone could get them all completed I have 15 points on it If you could add a small explanation so I can learn from it really appreciate it :) brainliest for anyone who does all 3 questions

Answers

Answer:

832.5

A unit rate is a rate with 1 in the denominator.

Hello please help ASAP!

Answers

Correct answer is B, Length is 32 while the width is 40

simplify 3[(15-3)^2 + 4]

Answers

Answer:

444

Step-by-step explanation:

3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 12 )^2 + 4 ]

= 3 [ 144 + 4 ]

= 3 [ 148 ]

= 444

Step-by-step explanation:

3(15-3)²+4

3(12)²+4

3×144+4

432+4

436 Answer

What is the surface area of this right circular cone?
radius=12
height=40

Answers

Answer:

2026.75 (units) squared

Step-by-step explanation:

SA of a cone = πr(r+h2+r2)

SA = π(12)(12+√(40^2)+(12^2))

SA = 12π(12+√1744)

Put in calculator and get 2026.75

I need help pls !!!!!!!

Answers

Should always be presented while using a factor 2
I think c because the scales are usally 2x smaller than usual

Which of the following describes point D?

Answers

Point g I hope it helps

The coordinates that describe the point D are: Option C: (0, 4)

How to find the coordinates of the graph?

The graph shows that the vertical axis is labelled as the y-axis while the horizontal axis is labelled as the x -axis.

Normally, the coordinate system of writing the given points of the graph is (x, y)

Thus, the point D on the graph is seem to be 4 units on the positive y-axis and 0 units on the positive x-axis and as such, we can say that the coordinates of point D are:

D(0, 4)

Read more about Graph Coordinates at: https://brainly.com/question/11337174

Complete question is:

Which of the following describes point D?

(-4, 0)

(0, -4)

(0, 4)

(4, 0)

10 ^ (th) term for AP-5,-10,-15,..... is :-(A) -955 (B) 50 (C) -50 (D) 955​

Answers

Answer:

C

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 5 and d = a₂ - a₁ = - 10 - (- 5) = - 10 + 5 = - 5 , then

a₁₀ = - 5 + (9 × - 5) = - 5 - 45 = - 50 → C

Adya and Ashley complete a work separately in 20 and 25 days respectively. After 10 days of their working together, they both left then Amber came and completed the remaining work in 3 days. If Amber alone would do the work, calculate how many days he would take to complete the work.?​

Answers

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Number of days Adya took to complete the work = 20

Work done by Adya in 1 day = [tex]\frac{1}{20}[/tex]

Number of days Ashley took to complete the work = 25

Work done by Ashley in 1 day = [tex]\frac{1}{25}[/tex]

So,

Total work by Adya & Ashley in 1 day =

[tex] \frac{1}{20} + \frac{1}{20} \\ = \frac{5 + 4}{100} \\ = \frac{9}{100} [/tex]

•°• Their total work in 10 days =

[tex] \frac{9 \times 10}{100} \\ = \frac{90}{100} \\ = \frac{9}{10} [/tex]

Now,

The work left to be completed =

[tex]1 - \frac{9}{10} \\ = \frac{10}{10} - \frac{9}{10} \\ = \frac{1}{10} [/tex]

From this we know that,

Amber completes [tex]\frac{1}{10}[/tex] of the work in 3 days.

So,

Time taken by Amber to complete the whole work =

[tex]3 \times 10 \\ = 30 \: \: days[/tex]

↦ If Amber alone would do the whole work, he would take [tex]\boxed{30 \ \ days}[/tex] to complete it.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Please help, im confused ;w;

Answers

Answer:

[tex]x=7\text{ and } m\angle KLM = 34^\circ[/tex]

Step-by-step explanation:

We are given ethat KM and JN are parallel.

And we want to find the value of x.

Notice that ∠JKM and ∠LKM form a linear pair. Linear pairs total 180°. Therefore:

[tex]m\angle JKM + m\angle LKM = 180[/tex]

We know that ∠JKM measures (14x + 8). Substitute:

[tex](14x+8)+m\angle LKM =180[/tex]

Solve for ∠LKM:

[tex]m\angle LKM = 172-14x[/tex]

Next, since KM and JN are parallel, by the Corresponding Angles Theorem:

[tex]\angle JNM \cong \angle KML[/tex]

Since we know that ∠JNM measure (10x + 2), we can conclude that:

[tex]m\angle KML = 10x+2[/tex]

Next, recall that the three interior angles of a triangle must total 180°. Therefore:

[tex]m\angle KLM + m\angle LKM + m\angle KML = 180[/tex]

Substitute:

[tex](5x-1)+(172-14x)+(10x+2)=180[/tex]

Solve for x. Rewrite:

[tex](5x-14x+10x)+(-1+172+2)=180[/tex]

Combine like terms:

[tex](1x)+(173)=180[/tex]

Therefore:

[tex]x=7[/tex]

To find ∠KLM, substitute in 7 for x and evaluate. So:

[tex]m\angle KLM = 5(7) - 1 =34^\circ[/tex]

Joel Trump is paid one and one-half times the regular hourly rate for all hours worked in excess of 40 hours per week and double time for work on Sunday. Trump's regular rate is $8 per hour. During the week ended October 10, he worked 9 hours each day from Monday through Friday, 6 hours on Saturday, and 4 hours on Sunday. Trump's total earnings for the week ended October 10 are a.$320. b.$430. c.$516. d.$110.

Answers

Answer:

C. $516

Step-by-step explanation:

His regular rate is $8 per hour.

Since it's 40 hours a week, it means from Monday to Friday his regular work time is 8 hours per day.

Thus, for the regular week work, he is to be paid;

40 × 8 = $320

Now, we are told he worked 9 hours each day from Monday through Friday.

This means that;

He worked 1 hour each day.

That is 5 hours extra from Monday to Friday.

He is paid one and one-half times the regular hourly rate.

Thus, for this 5 extra hours, he will be paid 1½ × 5 × 8 = $60

He works 6 hours on Saturday, and 4 hours on Sunday.

Thus;

For Saturday, he is also paid one and one-half of regular pay. Thus, he is due for;

1½ × 8 × 6 = $72

He is paid double the regular hourly pay for Sundays.

Thus, for 4 hours on Sunday, he is paid;

2 × 8 × 4 = $64

Total he is due = $320 + $60 + $72 + $64 = $516

Let N be the smallest positive integer whose sum of its digits is 2021. What is the sum of the digits of N + 2021?

Answers

Answer:

[tex]10[/tex].

Step-by-step explanation:

See below for a proof of why all but the first digit of this [tex]N[/tex] must be "[tex]9[/tex]".

Taking that lemma as a fact, assume that there are [tex]x[/tex] digits in [tex]N[/tex] after the first digit, [tex]\text{A}[/tex]:

[tex]N = \overline{\text{A} \, \underbrace{9 \cdots 9}_{\text{$x$ digits}}}[/tex], where [tex]x[/tex] is a positive integer.

Sum of these digits:

[tex]\text{A} + 9\, x= 2021[/tex].

Since [tex]\text{A}[/tex] is a digit, it must be an integer between [tex]0[/tex] and [tex]9[/tex]. The only possible value that would ensure [tex]\text{A} + 9\, x= 2021[/tex] is [tex]\text{A} = 5[/tex] and [tex]x = 224[/tex].

Therefore:

[tex]N = \overline{5 \, \underbrace{9 \cdots 9}_{\text{$224$ digits}}}[/tex].

[tex]N + 1 = \overline{6 \, \underbrace{000 \cdots 000000}_{\text{$224$ digits}}}[/tex].

[tex]N + 2021 = 2020 + (N + 1) = \overline{6 \, \underbrace{000 \cdots 002020}_{\text{$224$ digits}}}[/tex].

Hence, the sum of the digits of [tex](N + 2021)[/tex] would be [tex]6 + 2 + 2 = 10[/tex].

Lemma: all digits of this [tex]N[/tex] other than the first digit must be "[tex]9[/tex]".

Proof:

The question assumes that [tex]N\![/tex] is the smallest positive integer whose sum of digits is [tex]2021[/tex]. Assume by contradiction that the claim is not true, such that at least one of the non-leading digits of [tex]N[/tex] is not "[tex]9[/tex]".

For example: [tex]N = \overline{(\text{A})\cdots (\text{P})(\text{B}) \cdots (\text{C})}[/tex], where [tex]\text{A}[/tex], [tex]\text{P}[/tex], [tex]\text{B}[/tex], and [tex]\text{C}[/tex] are digits. (It is easy to show that [tex]N[/tex] contains at least [tex]5[/tex] digits.) Assume that [tex]\text{B} \![/tex] is one of the non-leading non-"[tex]9[/tex]" digits.

Either of the following must be true:

[tex]\text{P}[/tex], the digit in front of [tex]\text{B}[/tex] is a "[tex]0[/tex]", or[tex]\text{P}[/tex], the digit in front of [tex]\text{B}[/tex] is not a "[tex]0[/tex]".

If [tex]\text{P}[/tex], the digit in front of [tex]\text{B}[/tex], is a "[tex]0[/tex]", then let [tex]N^{\prime}[/tex] be [tex]N[/tex] with that "[tex]0\![/tex]" digit deleted: [tex]N^{\prime} :=\overline{(\text{A})\cdots (\text{B}) \cdots (\text{C})}[/tex].

The digits of [tex]N^{\prime}[/tex] would still add up to [tex]2021[/tex]:

[tex]\begin{aligned}& \text{A} + \cdots + \text{B} + \cdots + \text{C} \\ &= \text{A} + \cdots + 0 + \text{B} + \cdots + \text{C} \\ &= \text{A} + \cdots + \text{P} + \text{B} + \cdots + \text{C} \\ &= 2021\end{aligned}[/tex].

However, with one fewer digit, [tex]N^{\prime} < N[/tex]. This observation would contradict the assumption that [tex]N\![/tex] is the smallest positive integer whose digits add up to [tex]2021\![/tex].

On the other hand, if [tex]\text{P}[/tex], the digit in front of [tex]\text{B}[/tex], is not "[tex]0[/tex]", then [tex](\text{P} - 1)[/tex] would still be a digit.

Since [tex]\text{B}[/tex] is not the digit [tex]9[/tex], [tex](\text{B} + 1)[/tex] would also be a digit.

let [tex]N^{\prime}[/tex] be [tex]N[/tex] with digit [tex]\text{P}[/tex] replaced with [tex](\text{P} - 1)[/tex], and [tex]\text{B}[/tex] replaced with [tex](\text{B} + 1)[/tex]: [tex]N^{\prime} :=\overline{(\text{A})\cdots (\text{P}-1) \, (\text{B} + 1) \cdots (\text{C})}[/tex].

The digits of [tex]N^{\prime}[/tex] would still add up to [tex]2021[/tex]:

[tex]\begin{aligned}& \text{A} + \cdots + (\text{P} - 1) + (\text{B} + 1) + \cdots + \text{C} \\ &= \text{A} + \cdots + \text{P} + \text{B} + \cdots + \text{C} \\ &= 2021\end{aligned}[/tex].

However, with a smaller digit in place of [tex]\text{P}[/tex], [tex]N^{\prime} < N[/tex]. This observation would also contradict the assumption that [tex]N\![/tex] is the smallest positive integer whose digits add up to [tex]2021\![/tex].

Either way, there would be a contradiction. Hence, the claim is verified: all digits of this [tex]N[/tex] other than the first digit must be "[tex]9[/tex]".

Therefore, [tex]N[/tex] would be in the form: [tex]N = \overline{\text{A} \, \underbrace{9 \cdots 9}_{\text{many digits}}}[/tex], where [tex]\text{A}[/tex], the leading digit, could also be [tex]9[/tex].

Which of the following is ordered pair for point C?

Answers

Answer:

B. (4,2)

Step-by-step explanation:

Answer:

B(4,2)

Step-by-step explanation:

as you can see that if want to find coordinates u should know that the position of x and y is (x,y). So u can that c on the x is lower than 5 so that u can say it is 4 and y is too far away from 5 also u it will be 2.

Summer school math problem

Answers

Hello!

4/18 = 6/27 ?

4 × 27 = 18 × 6

108 = 18 × 6

108 = 108 => 4/18 = 6/27

4/6 = 16/36 ?

4 × 36 = 6 × 16

144 = 6 × 16

144 96 => 4/6 16/36

3/4 = 9/12 ?

3 × 12 = 4 × 9

36 = 4 × 9

36 = 36 => 3/4 = 9/12

5/9 = 8/12 ?

5 × 12 = 9 × 8

60 = 9 × 8

60 72 => 5/9 8/12

Good luck! :)

Helpp m and explain ,I will mark brainlest:)

Answers

Answer:

(0,3) ; (2,3) ; (0,0) ; (3.5,0)

Step-by-step explanation:

Firstly, we have to plot all the giving inequalities as constraints

Not to forget, f(x) can be written as y

Kindly find the plot as an attachment

Upon plotting, we have the following vertices;

(0,3) ; (2,3) ; (0,0) ; (3.5,0)

someone help me please with this algebra problem

Answers

Answer:

60

Step-by-step explanation:

5x + 10y = 800

y = 50

5x + 10(50) = 800

5x + 500 = 800

5x = 300

x = 60

Answer: 60

Step-by-step explanation:

If x = small vehicles and if y = large vehicles and y = 50, then substitute and solve for x. So,

5x + 10(50) = 800

5x + 500 = 800

5x = 300

x = 60

So, the number of small vehicles is 60.


A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation below.
x = 1,000 − 100p
At what price should the company sell the ribbons if it wants the weekly revenue to be $1,600? (Remember: The equation for revenue is R = xp.)
p = $ (smaller value)
p = $ (larger value)

Answers

Given:

The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

[tex]x=1000-100p[/tex]

To find:

The selling price if the company wants the weekly revenue to be $1,600.

Solution:

We know that the revenue is the product of quantity and price.

[tex]R=xp[/tex]

[tex]R=(1000-100p)p[/tex]

[tex]R=1000p-100p^2[/tex]

We need to find the value of p when the value of R is $1600.

[tex]1600=1000p-100p^2[/tex]

[tex]1600-1000p+100p^2=0[/tex]

[tex]100(16-10p+p^2)=0[/tex]

Divide both sides by 100.

[tex]p^2-10p+16=0[/tex]

Splitting the middle term, we get

[tex]p^2-8p-2p+16=0[/tex]

[tex]p(p-8)-2(p-8)=0[/tex]

[tex](p-8)(p-2)=0[/tex]

Using zero product property, we get

[tex]p-8=0[/tex] or [tex]p-2=0[/tex]

[tex]p=8[/tex] or [tex]p=2[/tex]

Therefore, the smaller value of p is $2 and the larger value of p is $8.

ratio and proportion

One of the angle of pair of supplementary angle is 120 degree. find the ratio of pair of supplementary angles.​

Answers

Answer:

2 : 1

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°

If one of the angle = 120°

The other angle = sum of supplementary angle - one of the angle

= 180° - 120°

= 60°

The other angle = 60°

ratio of pair of supplementary aangle = 120° : 60°

= 120° / 60°

= 2/1

= 2 : 1

ratio of pair of supplementary aangle = 2 : 1

Shjdksjcksmcjcsnuckamc

Answers

Answer:

you should make the picture more clear, i cant see the answer choices

Answer:

use pythogoream theorem that is,

Step-by-step explanation:

c*2=a*2+b*2

so in order to find a*2;

a*2=c*2-b*2

In the equation 17x2 = 12x, the value of c is:
O
0 12
O 17

Answers

Answer:

ok ok ok ok ok ok ok

Step-by-step explanation:

(Algebra ll) Given the function below

Answers

Answer: B

Step-by-step explanation:

To find the values of x, we first need to write the function into an equation. We can derive 2 equations from the problem.

Equation 1: y=2|x+6|-4

Equation 2: y=6

Now, we can substitute.

2|x+6|-4=6

Let's solve for x.

2|x+6|-4=6        [add both sides by 4]

2|x+6|=10          [divide both sides by 2]

|x+6|=5              [subtract both sides by 6]

x=-1

Now that we know x=-1 is one of the solutions, we can eliminate C and D.

We know that the absolute value makes the number inside positive always. Therefore, let's solve for x with -5 instead.

|x+6|=-5              [subtract both sides by 6]

x=-11

Therefore, we know that B is the correct answer.

I have a lot of algebra problems. Someone help me even with this one please!

Answers

X -Y =44 will represent the number of glasses of ice tea .

[tex]\sqrt{x} 8xyx^{2}[/tex]

Answers

Answer:

nom nom

Step-by-step explanation:

nom nommy nom nom

The equation of line r is y = 1/2 * x + 1 line runs parallel to line r and passes through (2, 5) what would be the equation of line 8 ?help please

Answers

Answer:

x - 2y + 8 = 0

Step-by-step explanation:

that is the procedure above

what is the mid point of AB?

Answers

Answer:

G

Step-by-step explanation:

I did this on edge and it was right

Answer:

O  Point G

Step-by-step explanation:

A = -6

B = 8

To find the midpoint, calculate how much would it take for both points to have a value of zero.

-6 + ? = 0

-6 + 6 = 0

8 - ? = 0

8 - 8 = 0

so the midpoint will be about 7 (between 6 & 8)

Now which of the points best shows 7 units apart of AB

Answer: point G

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Calculate the percent error of the distancA space shuttle was launched from the Earth to themoon. The average, or accepted, value of the distanceof the Earth to the moon is 238,857 miles, but theshuttle crew recorded that their trip took 226,316 miles5.25%07.15%3.75%4.45% What is the dollar price of a zero coupon bond with 21 years to maturity, semiannual compounding, and a par value of $1,000, if the YTM is: Summarize the article in one sentence (your own words). What is the main idea? Newspaper Coverage of the Invasion at NormandyWar News Summarized June 6th 1944 | New York Times The invasion of western Europe began this morning. General Eisenhower, in his first communique from Supreme Headquarters, Allied Expeditionary Force, issued at 3:30 am, said that Allied naval forces supported by strong air forces began landing Allied armies this morning on the northern coast of France. The assault was made by British, American, and Canadian troops who, under command of Gen. Sir Bernard L. Montgomery, landed in Normandy. London gave no further details but earlier Berlin had broadcast that parachute troops had landed on the Normandy Peninsula near Cherbourg and that invasion forces were pouring from landing craft under cover of warships near Havre. Dunkerque and Calais were being heavily bombed, the Germans said. Later announcements from Berlin said that there was fighting between Caen and Trouville and that shock troops had swung into action to halt the invasion. General Eisenhower, in an order of the day to each member of the great crusade told his men the enemy would fight savagely: We will accept nothing less than full victory! Good luck. In a broadcast to the Peoples of Western Europe, he said the day would come when he would need their full help.A special word to France added that Frenchmen would rule the country. Almost simultaneously it was announced that General de Gaulle had arrived in London. The liberation of Rome in no way slowed the Allied pursuit of the tired and disorganized German armies in Italy yesterday. Armored and motorized units sped across the Tiber River to attack upon the retreating enemies' heels. Five hundred heavy bombers joined with lighter aircraft to smash rail and road routes leading to northern Italy and to add to the foes demoralization. The Eighth Army, despite heavy opposition, especially northeast of Valmontone, captured a number of strategic towns. General Clark said that parts of the two German armies had been smashed. He doubted the ability of the Germans Fourteenth to put up effective opposition, and felt the Allied victory would come soon. President Roosevelt warned the people of the United States in a radio talk last night not to overemphasize the military significance of the liberation of Rome. Germany has not yet been driven to surrender, he said. Victory still lies some distance ahead it will be tough and costly Someone tell me where everyone is going right please !! Tyler Tooling Company uses a job order cost system with overhead applied to products on the basis of machine hours. For the upcoming year, the company estimated its total manufacturing overhead cost at $420,000 and total machine hours at 60,000. During the first month of operations, the company worked on three jobs and recorded the following actual direct materials cost, direct labor cost, and machine hours for each job: Job 101 Job 102 Job 103 TotalDirect materials used 19,200 14,400 9,600 43,200 Direct labor 28,800 11,200 9,600 49,600 Machine hours 1,000 hours 4,000 hours 2,000 hours 7,000 hoursJob 101 was completed and sold for $60,000.Job 102 was completed but not sold.Job 103 is still in process.Actual overhead costs recorded during the first month of operations totaled $45,000.Required: 1. Calculate the predetermined overhead rate. (Round your answer to 2 decimal places.)2. Compute the total manufacturing overhead applied to the Work in Process Inventory account during the first month of operations. (Round your intermediate calculations to 2 decimal places.)3. Compute the balance in the Work in Process Inventory account at the end of the first month. (Round your intermediate calculations to 2 decimal places.)4. How much gross profit would the company report during the first month of operations before making an adjustment for over- or underapplied manufacturing overhead? (Round your intermediate calculations to 2 decimal places.)5-a. Determine the balance in the Manufacturing Overhead account at the end of the first month. (Round your intermediate calculations to 2 decimal places.) Triangle ABC is transformed to obtain triangle ABC:A coordinate grid is labeled from negative 12 to 0 to 12 on both x and y axes at increments of 1. Triangle ABC has A at ordered pair negative 12, 12, B at negative 9, 6, C at negative 3, 12. Triangle A prime B prime C prime has A prime at ordered pair 4, negative 4, B prime at 3, negative 2, C prime at 1, negative 4.Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? (5 points)Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degreesTriangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degreesTriangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degreesTriangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees As the Enlightenment developed, what crucialcharacteristic or characteristics became mostimportant? Who were the Enlightenment's majorfigures? Explain this statement: "The national debt is like taking money out of your left pocket and putting it into your right pocket." Solve for x. Thank you the sum of two numbers is 54 one exceed the other by 14 find the number Simplificar 2/3+1/5+2/4 A decrease in the demand for eggs due to changes in consumer tastes, accompanied by a decrease in the supply of eggs as a result of an outbreak of Avian flu, will result in Group of answer choices In the feedback loop, the impact the message has on the receiver's knowledge, attitude, or behaviors during the communications process is referred to as Tim did a survey at a large shopping centre. He asked 400 visitors to the centre to choose the main reason for their visit. The reasons were shops, free parking, food court and location.From the people taking part in the survey, one person is chosen at random to get a prize. Find the probability a female who chose location gets the prize. shops free park. food location totalmale 88 24 40 21 173female 110 38 56 23 227total 198 62 96 44 400 Which of the following feeling words describe the mood conveyed through word choice? Check the two best choices.seriousexcitedanxiouspeaceful PLEASE HELP ASAP!!!!!!!! What does it mean when a Guatemalan shakes his hand quickly so that the index and middle fingers slap together and make a snapping sound?He is trying to get a girl's attention.He is adding emphasis, expressing surprise, or indicating hurry.He is showing affection.He is hungry. examine the value that early modern Europe is responsible in making of the modern world? State any ten reasons why students in Uganda need to study physics.(use examples of the possible technological advancements which can be made using the knowledge of physics) Define a class named Point with two data fields x and y to represent a point's x- and y-coordinates. Implement the Comparable interface for the comparing the points on x-coordinates. If two points have the same x-coordinates, compare their y-coordinates. Define a class named CompareY that implements Comparator. Implement the compare method to compare two points on their y-coordinates. If two points have the same y-coordinates, compare their x-coordinates. Randomly create 100 points and apply the Arrays.sort method to display the points in increasing order of their x-coordinates, and increasing order of their y-coordinates, respectively.