game increased in price by 1 3 . After the increase it was priced at £72. What was the original price of the game?

Answers

Answer 1
answer is 54£


it is given that the price of the game after the increase is £72. Thus, the original price of the game was → £ 54.
hope this helps

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Question 11, 1.1.87
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Shannon, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $551 for 52 hours worked. What is her regular hourly rate?

Answers

Answer:

frnddcchdddssjegtgeeusiss ehejsbdvbsjwjgebee e e e e r ytjrbehww

Answer:

$9.5

Step-by-step explanation:

40x+12*1.5x=551

40x+18x=551

58x=551

58x/58=551/58

x=9.5

I put 40x to represent her normal rate when she isnt working overtime which is over 40 hours. And then I put 12*1.5x which is broken down into two parts, 12 represent the amount of overtime hours worked 12 hours overtime (52-40=12) and 1.5x represents the time-and-a-half (which if you didnt know is where you get paid 1.5 times your hourly wage each hour worked overtime). And when you solve this equation you get 9.5 hours an hour as her regular hourly rate

What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
15
B
х
20

Answers

Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

[tex]\frac{225}{20}[/tex] = x , that is

x = [tex]\frac{45}{4}[/tex] → E

The value of the x in the given triangle is 45/4.

What are similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

Learn more about similar triangles click;

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If the fourth term in a geometric sequence is –1 and the common ratio is –1, find the explicit formula of the sequence.

A)

an = (1) ⋅ (–1)n – 1 for n ≥ 1

B)

an = (– 1) ⋅ (1)n – 1 for n ≥ 1

C)

an = (–1) ⋅ (–1)n – 1 for n < 1

D)

an = (1) ⋅ (1)n – 1 for n ≥ 2

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_4=-1\\q=-1\ common\ ratio\\\\a_4=a_1*q^3\ -1=a_1*(-1)^3 \Longrightarrow\ a_1=1\\\\\\\boxed{a_n=1*(-1)^{n-1}}\\\\\\Since \ all \ formula\ are\ so\ bad\ written,\ I\ suppose\ that\ the\ answer \ is \ A\\[/tex]

Answer:

 

an = (1) ⋅ (–1)n – 1 for n ≥ 1

Step-by-step explanation:

took the test and got it right

hope this helps

Plz help me ASAP TwT

Answers

Answer:

Angle CBA

Step-by-step explanation:

It would be CBA because Angle 1 is between those 3 points. Angle 1 is where B is so B would have to go in the middle.

Hope this helps :)

determine the general term of this sequence -15:-11;-7;,,173

Answers

Answer:

UWUNOE BRO HUUZEM HIHUDHS

Step-by-step explanation:

If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is

Answers

We know

[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

ATQ

[tex]\\ \sf\longmapsto \sqrt{(-1-2)^2+(x+2)^2}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-3)^2+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{9+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{x^2+4x+13}=5[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13=5^2=25[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13-25=0[/tex]

[tex]\\ \sf\longmapsto x^2+4x-12=0[/tex]

[tex]\\ \sf\longmapsto x^2+6x-2x-12=0[/tex]

[tex]\\ \sf\longmapsto x(x+6)-2(x+6)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x+6)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=-6[/tex]

A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?

Answers

H=17ftB=8ft

Using Pythagoras theorem

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]

[tex]\\ \Large\sf\longmapsto P^2=225[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]

[tex]\\ \Large\sf\longmapsto P=15ft[/tex]

Answer:

Applying the Pythagorean theorem we have :wall length is : a²-b²=c²⇒17²-8²=c²⇒c=15(c>=0)

Step-by-step explanation:

we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)

Mrs. Helton is making gift bags as prizes for her math classes.  She has 30 little bags of Hershey Kisses and 15 Blow Pops.  What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?​

Answers

Answer:

3

Step-by-step explanation:

I LOVE CANDY hope it helps 45/3 is hte gretaets factor the answer is 3.. i think

Answer:

45 gift bags.

Step-by-step explanation:

take 30 and divide it by 15. your answer is 2. 2 hk bags and 1 blow pop is equal to 3. so you would multiply 3 by 15 to get your conclusion

a microwave oven has a capacity of 1.59ft³. the interior of the microwave of the is 14 in wide and 14 in deep. what is the height of the interior of the microwave, to the nearest tenth of a foot​

Answers

Step-by-step explanation:

The easiest way to do this is to imagine the microwave as a box. Ignore the turntables, whether or not something will spin if it touches an edge, and anything else that would make the fact that we're talking about a microwave confusing. This is a box now. :)

The capacity of our box is 1.59 ft^3, which means it can hold that much of "things" inside it. Instead of a capacity, we'll think of it as the box's total area. A tricky thing to note, is the area is given in ft, where the interior values are given as inches. So we'll need to turn the inches into feet.

To get the area of a box, we do length x width x height.

We're already given the length, 14 (inches), and the width, 14 (inches), so all we need to find now is the height (feet). To turn the lengths into feet, we'll divide them by 12, because there are 12 inches in 1 foot, or Feet = Inches / 12.

To finally turn it into math:

Area (A) = length (L) * width (W) * height (H)

[tex]A = L * W * H[/tex]

Insert known values.

[tex]1.59 = \frac{14}{12} * \frac{14}{12} * H[/tex]

Multiply.

[tex]1.59 = \frac{196H}{144}[/tex]

Simplify.

[tex]1.59 = \frac{49H}{36}[/tex]

Multiply both sides by 36.

[tex]1.59*36 = \frac{49H}{36}*36[/tex]

Simplify.

[tex]57.24 = 49H[/tex]

Divide both sides by 49.

[tex]\frac{57.24}{49} = \frac{49H}{49}[/tex]

Simplify.

[tex]1.16816326... = H[/tex]

To turn make this the nearest Tenth, we round up to the first decimal place.

Answer:

H = 1.2 ft

Find the value of x.

Answers

r h==ptgggggggggggggggggggggggggggggggggggggggggggggggggggtnnnnnnn

Solve the equation step by step

Answers

Let x be the amount of salt in the solution.

At day's end, the concentration of salt in the beaker is

x / (4 L) = 0.08 = 8%

Solve for x to get

x = 0.08 (4 L) = 0.32 L

So at the beginning, the concentration of salt in the beaker was

(0.32 L) / (5 L) = 0.064 = 6.4%

Is (3,8) a solution to the inequality 14x + 12y = 12?

Answers

Answer:

No

Step-by-step explanation:

14x + 12y = 12

(3, 8)

14(3) + 12(8) = 12

42 + 96 = 12

138 = 12

Sarah has 27
27 feet of wire to make bead necklaces. If each necklace
requires 12 feet of wire, how many necklaces can she make?
1

Answers

Sarah can make 2, however she will have 3 feet leftover

Answer:

= 2 R 3

= 2 3/12

= 2 1/4

Step-by-step explanation:

  0 2

1 2 2 7

 − 0  

   2 7

 − 2 4

     3

hi pls help. pls explain a bit:) thank you

Answers

Answer:

i think this is right i’m sorry if not :)

A rectangular hockey field is 50m long and 35m wide calculate the length of it's diagonal​

Answers

Answer:

length=50m

width=35m

diagonal=?

using Pythagoras theorem

where c=diagonal,a=length(50m),b=width(35)

c² =a² + b²

c² =(50)² + (35)²

c² =2500+1225=3725

Taking square root on both sides

c=61m

Therefore the diagonal is 61m

HELP PLEASE !! REAL ANSWER ONLY

find the surface area of the cylinder round to the nearest tenth ​

Answers

Answer:

CSA is 12.57

TSA is 18.85 .. i dont know what the question is asking..

I will recommend you to use TSA

Answer:

19ft

Step-by-step explanation:

Formula for surface area of the cylinder=2πr(r+h)

We have,

h=2ft

d=2ft

r=d/2=2/2=1ft

Now,

2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215

Rounding to the nearest tenth,

We get Surface area of the cylinder=19 ft

1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).

Answers

Answer:

1..

solution....

here given

25cm

1m=100cm

now,

25/100=1/4

1:4

2....

(a+4)(a-4)

a^2-4^2

a^2-16

Step-by-step explanation:

hope it will help you

Need help ! Help needed very much !

Answers

Answer:

x/2 > 5

Step-by-step explanation:

Quotient means division

x/2

is more than means greater

x/2 > 5

1-2. Roel earns P 8,000 per month as basic salary. In addition, he earned P 5,725.50 as commission and P 852.50 as overtime pay in January. How much did he earn that month?

3-4. A biscuit factory originally packaged 0.65kg of crackers. To increase profitability, the company reduced the weight by 0.035 kg with a more affordable price. What is the new weight per pack of crackers?

Answers

Answer:

a. he earn 14578.00 in that month.

Which is a y-intercept of the continuous function in the
table?
х
-2.
-1
0
1
2.
3
f(x)
15
10
5
0
-5
-10
O (5,0)
O (0, 1)
O (0,5)
O (1,0)

Answers

Answer:

(0,5) --> 5 is the y intercept

Step-by-step explanation:

Give 6 x,y pairs you look for the pair with x=0 to find the y intercept,

SO that would be the 3rd set or (0,5)

The y-intercept of the function is A = ( 0 , 5 )

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the x values of the function are

x = { -2 , -1 , 0 , 1 , 2 , 3 }

And , the y values of the function are

y = { 15 , 10 , 5 , 0 , -5 , -10 }

And , the y intercept of the function is when the value of x = 0

So , when x = 0

y = 5

Hence , the y-intercept is ( 0 , 5 )

To learn more about function rule click :

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I am a 4 digit number all my digits are different they add up to 20 the hundred's digit is double than the one's digit

Answers

Answer:

- 2864

Step-by-step explanation:

Given that,

The number is of 4 digits

All are different

The sum of the 4 digits = 20

Hundred's digit is twice than one's digit

A.T.Q.

Let the unit digit be 4. So, the hundred's digit would be 4 * 2 = 8

Now, we have

_8_4

We know that the sum of four digits is 20. Thus,

_ + 8 + _ + 4 = 20

∵ _ + _ = 20 - 12 = 8

The possible numbers must make a sum of 8. Thus, one possibility can be 2 and 6.

Therefore, the number can be

2864  

( 2 + 8 + 6 + 4 = 20)

Is it possible to build a triangle with side lengths of 3, 3, and 9?

Answers

Answer:

N0

Step-by-step explanation:

The sides of a triangle must be

a-b< c< a+b  where a and b are the two smaller sides and c is the larger side

3-3 <9< 3+3

0<9<6

This is not true so it cannot make a triangle

answer:

no

step-by-step explanation:

each side must be smaller than the sum of other sides

so

9+3>3-right

3+3<9-wrong

trigonometric identities

Answers

With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.

Then from the Pythagorean identity, it follows that

sin²(θ) + cos²(θ) = 1   ==>   sin(θ) = -√(1 - cos²(θ))

and so

sin(θ) = -√(1 - (-8/13)²) = -√105/13

Recall the double angle identity for sine:

sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169

How is adding and subtracting radical expressions similar to adding and subtracting variables ?????

Answers

Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

Answer:

combining like terms. if the radicand is the you can combine the radical. this is the same as combining variables as long as the variable is the same if that makes sense

Step-by-step explanation:

so like you can add 7a and 3a because they have the same variable a. you can combined 2 root 2 and 4 root 2 because the radicand is same <3

Can someone help please

Answers

Answer:

[tex]10^{-3}[/tex]

Step-by-step explanation:

Answer:

https://tex.z-dn.net/?f=10%5E%7B-3%7D

Step-by-step explanation:

Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn What is the probability of drawing a King and then another King?​

Answers

Answer:

probability that 2 cards drawn from a deck of 52 cards are both kings.

is probability that first card is a king times probability that second card is a king

with replacement 4/52*4/52 =0.592%

without replacement 4/52*3/51=0.452%

Step-by-step explanation:

SHOW YOUR STEPS PLEASE. SOMEONE PLEASE HELP ME I NEED THE ANSWER ASAP!!!

The cost, c(x), in dollars per hour of running a certain steamboat is modelled by the function c(x)=1.7x^2-13.6+166.4, where x is the speed in kilometres per hour. At what approximate speed should the boat travel to achieve minimum cost? what is the minimum cost?​

Answers

Answer:

x = 4

139.2

Step-by-step explanation:

Given the Cost function :

C(x) = 1.7x² - 13.6x + 166.4

To achieve minimum cost ;

dc/dx = 0

dc/dx = 2(1.7)x - 13.6

3.4x - 13.6 = 0

3.4x = 13.6

x = 13.6 / 3.4

x = 4

To achieve minimum cost, speed = 4 ;

Minimum cost will be :

C(x) = 1.7x² - 13.6x + 166.4

Put x = 4

C(4) = 1.7(4)² - 13.6(4) + 166.4

C(4) = 27.2 - 54.4 + 166.4 = 139.2

Minimum cost = 139.2

suppose the function g(x) doubles the square of the input and then subtracts 13. what is g(3)?

Answers

Given:

The function [tex]g(x)[/tex] doubles the square of the input and then subtracts 13.

To find:

The value of [tex]g(3)[/tex].

Solution:

Let [tex]x[/tex] be the input value.

The square of the input is [tex]x^2[/tex].

Doubles the square of the input [tex]2x^2[/tex].

Doubles the square of the input and then subtracts 13, i.e., [tex]2x^2-13[/tex].

So, the function is:

[tex]g(x)=2x^2-13[/tex]

Putting [tex]x=3[/tex] in the above function, we get

[tex]g(3)=2(3)^2-13[/tex]

[tex]g(3)=2(9)-13[/tex]

[tex]g(3)=18-13[/tex]

[tex]g(3)=5[/tex]

Therefore, the value of [tex]g(3)[/tex] is 5.

Can SOMEONE PLEASE HELP ME? I really need to get this work done by tonight. PLEASE

Answers

All triangles add up to 180 degrees so you’ll need to figure out what the two numbers you already have add up to then figure out the leftover and that’ll be your answer xx

please help me please i will give brainliest

Answers

Answer:

I think It would be A

Step-by-step explanation:

Answer:

i think its A

Step-by-step explanation:

(if its not im sorry :( )

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