9514 1404 393
Answer:
√5 +√6
Step-by-step explanation:
We know that the square of a binomial is ...
(a +b)^2 = a^2 +2ab +b^2
Then the square root of it is ...
a + b = √(a^2 +b^2 +2ab)
Using a=√x and b=√y, this is ...
√x +√y = √(x + y + 2√(xy))
__
For the given expression, we need to find x and y such that ...
xy = 30 and x+y = 11
Using x=5, y=6, we meet those requirements.
[tex]\displaystyle \sqrt{11+2\sqrt{30}}=\sqrt{5+6+2\sqrt{5\cdot6}}=\boxed{\sqrt{5}+\sqrt{6}}[/tex]
Answer:
√5+√6 ≈ 4.68555772
Step-by-step explanation:
I hope it's correct
Can you please help me with this question
Answer:
Where is the question?
Step-by-step explanation:
Python is an interpreted high-level general-purpose programming language. Python's design philosophy emphasizes code readability with its notable use of significant indentation.
Two professional gamers subscribe to twitch streamers. Jonah has 430$ saved up, and spends 45$ a month on
subscriptions. Rodrick has 310$ saved up, and spends 25$ a month on subscriptions.
A) Create an equation that can be used to find m, the number of months it will take for both gamers to have the
same amount of money left?
B) After how many months will the gamers have the same amount of money?
Answer:
A) [tex]430-45m = 310-25m[/tex]
B) 6 months
Step-by-step explanation:
A) for Jonah, the equation would be [tex]430-45m[/tex]
Because the money is being spent on the subs, you subtract that from his original savings.
The same thing is said for Rodrick, but his equation would be [tex]310-25m[/tex]
to find out the number of months it will take for both gamers to have the
same amount of money left, you set their equations equal to each other:
[tex]430-45m = 310-25m[/tex]
B) you solve for m.
[tex]430-45m = 310-25m[/tex]
first by subtracting 310 on both sides to get:
[tex]430-310-45m=-25m[/tex]
[tex]120-45m=-25m[/tex]
then add 45m on both sides because we cant have negative months
[tex]120=-25m+45m[/tex]
[tex]120=20m[/tex]
divide by 20 on both sides to get the number of months
[tex]\frac{120}{20} =\frac{20m}{20}[/tex]
[tex]m=6[/tex]
To compare the teaching methodologies of two of its eighth-grade math teachers, a school decides to compare student test scores from the two classes throughout the year.
Which type of statistical study is the school conducting?
a) Matched-pair design study
b) Meta-analysis
c) Retrospective observational study
d) Prospective observational study
Answer:
D) Prospective observational study
Step-by-step explanation:
A study which gathers data moving forward is called a prospective study. Since the data is gathered on students without controlling the setting moving forward, it is a prospective observational design.
If triangle ABC has the following measurements, what is the measure of angle B? a=5 b=7 c=10
Answer: about 40.54°
Step by step explanation:
7^2 = 5^2 + 10^2 - 2(5)(10)cos(B)
cos(B) = (7^2 - 5^2 - 10^2) / (-2(5)(10) )
B = cos-1 [ (7^2 - 5^2 - 10^2) / (-2(5)(10) ] = cos-1 (.76) = about 40.54°
sequence 32,52,72,92 simplified
Step-by-step explanation:
the common increment is 20
Answer:
8, 13, 18, 23
Step-by-step explanation:
a word problem on proportions using a unit rate
Lashonda made $273 for 13 hours of work.
At the same rate, how many hours would she have to work to make $231?
hours
Х
?
eleven hours - 11 hours
What is the maximum value of the objective function, P, with the given constraints?
P = 25x+45y
(4x+y≤16)
(x+y≤10)
(x≥0)
(y≥0)
Options
A: 100
B: 410
C: 450
D: 720
Answer:
D
Step-by-step explanation:
Which box holds more popcorn?
Answer:
Amanda's popcorn container holds more popcorn
Step-by-step explanation:
First we'll have to find the volume.
The Volume helps us determine which is bigger.
Step 1
We'll find Amanda's popcorn container
10cm*10cm*13.5cm=1350cm
Step 2
We'll find Mary's popcorn container
8cm*8cm*20cm=320cm
Step 3
Since Amanda's popcorn container has 1350cm (volume) and Mary's popcorn container has 320cm (volume) we'll have this. 1350cm>320cm. We can determine the Amanda's popcorn container has holds more,
Final Answer
Amanda's popcorn container holds more popcorn
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
3x + 6y = -42
Answer:
y = -1/2x -7
Step-by-step explanation:
3x + 6y = -42
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Subtract 3x from each side
3x-3x+6y = -3x-42
6y = -3x-42
Divide each side by 6
6y/6 = -3x/6 - 42/6
y = -1/2x -7
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answer:
Meena's age is 5 and her fathers age is 30 years old.
Step-by-step explanation:
Let's assume Meena's age to be x years old.
Meena's dads present age is 6x.
5 years from now Meena's age will be (1/3)rd of her dads age
x+5= 1/3 * 6x
x+5=2x
x=5.
Meenas present age is 5 years and her dads age is 30 years
What is the Square root of 30 ,12,36
Answer:
the square root of:
30: 5.477225575
12: 3.464101615
36: 6 <-- explanation of square root: any number that when multiplied by itself equals your wanted number (in this case 36) will be the square root of your wanted number.
ixl area of sectors. I am struggling on this question
Answer:
español :/
Step-by-step explanation:
Answer:
256/5 pi
Step-by-step explanation:
= angle/360 × pi×r^2
= 72/360 × pi × 16^2
= 51.2 pi
= 256/5 pi
Which of the following theorems verifies that abc wxy
Answer:
C. AA
Step-by-step explanation:
Since m<Y = 27°, then m<W = 27°.
We have two angles of one triangle (A and B) congruent to two angles of the other triangle (W and X).
Answer: C. AA
m∠AFD=90° . m∠AFB=31°. Find m∠DFE.
A. 87
B. 29.5
C. 31
D. 28
Answer:
D. 28
Step-by-step explanation:
Given:
m∠AFD = 90°
m∠AFB = 31°
Required:
m∠DFE
Solution:
m<AFB = m<CFD (both angles are marked as congruent angles)
Since m<AFB = 31°, therefore,
m<CFD = 31°
m<AFB + m<CFD + m<BFC = m<AFD
Plug in the known values
31° + 31° + m<BFC = 90°
62° + m<BFC = 90°
Subtract 62° from each side
m<BFC = 90° - 62°
m<BFC = 28°
m<BFC = m<DFE = 28° (both angles are marked congruent to each other)
Therefore,
m<DFE = 28°
What is the value of X
A 15
B 21
C 26
D 105
Answer:
B)21
Step-by-step explanation:
∠KN=∠ML
∠KN=90°+15°
=105°
∠ML=105°
5x°=105°
x°=105÷5
x°=21°
Answer:
[tex]5x=90+15[/tex]
Add, 90 + 15 = 105
[tex]5x=105[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{105}{5}[/tex]
[tex]x=21[/tex]°
[tex]\textbf{OAmalOHopeO}[/tex]
Suppose you have 3 bags. Two of them contain a single $10 bill, and the third contains a single $5 bill. Suppose you pick one of these bags uniformly at random. You then add a $5 bill to the bag, so it now contains two bills. The bag is shaken, and you randomly draw a bill from the bag without looking into the bag. Suppose it turns out to be a $5 bill. If a you draw the remaining bill from the bag, what is the probability that it, too, is a $5 bill
Answer:
1/2
Step-by-step explanation:
Number of bags = 3
number of bags with $10 bill initially = 2
number of bags with $5 bill initially = 1
assume :
event you pick a $5 bill at first draw = A
event you pick a $5 bill at second draw = B
hence : P ( A n B ) = 1/3 * 1 = 1/3
P( A ) = ( 1/3 * 1 ) + ( 1/3 * 1/2 + 1/3 * 1/2 ) = 2/3
therefore P( that the second drawn bill is $5 )
P( B | A ) = P(A n B ) / P ( A )
= (1/3) / (2/3) = 1/2
The probability that it, too, is a $ 5 bill is 33.33%.
Since you have 3 bags, and two of them contain a single $ 10 bill, and the third contains a single $ 5 bill, supposing you pick one of these bags uniformly at random and you then add a $ 5 bill to the bag, so it now contains two bills, and the bag is shaken, and you randomly draw a bill from the bag without looking into the bag, supposing it turns out to be a $ 5 bill, if a you draw the remaining bill from the bag, to determine what is the probability that it, too, is a $ 5 bill, the following calculation must be performed:
3 bags = 2 with a 10 bill and 1 with a 5 bill 1/3 = 0.3333 0.3333 x 100 = 33.33
Therefore, the probability that it, too, is a $ 5 bill is 33.33%.
Learn more in https://brainly.com/question/13243988
A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches. If you ate this whole block of cheese, about how many cubic inches would you have eaten (ignoring the holes)?
420 in
193 in
385 in
210 in
Answer:
193 in
Step-by-step explanation:
Volume of a triangular prism:
The volume of a triangular prism is the base area multiplied by the wedge, that is:
[tex]V = A_bw[/tex]
The base area is one half times the triangle base times it's height, so:
[tex]V = 0.5*b*h*w[/tex]
The wedge of cheese is 7 inches tall.
This means that [tex]w = 7[/tex]
The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.
This means that [tex]b = 11, h = 5[/tex]
Volume:
[tex]V = 0.5*b*h*w = 0.5*11*5*7 = 192.5[/tex]
Rounding, approximately 193 in.
find the hcf of 100,24
Answer:
4
Step-by-step explanation:
24 = 2^3 x 3
100 = 2^2 x 5^2
HCF = 2^2 = 4
Identifying properties used to solve liner equation.
Options are:
Addition property of Equality
subtraction property of Equality
multiplication property of Equality
division property of Equality
simplifying
distributive
Need a better explaination
Graph: y – 3 = 1/2 (x + 2)
Answer:
The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.
Step-by-step explanation:
The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.
Answer: See below
Concept:
There are different forms of linear equations:
Slope-intercept form: y = mx + bPoint-slope form: y - y₁ = m (x - x₁)Standard form: Ax + By = CIntercept form: x / x₁ + y / y₁ = 1Solve:
Given: y - 3 = 1/2 (x + 2)
Here, we can see the linear equation is in the form of point-slope form.
x₁ = -2
y₁ = 3
m = 1/2
Point included in the graph = (-2, 3)
Slope of the graph = 1/2
Hope this helps!! :)
Please let me know if you have any questions
Which improper fraction is equivalent to 17.8?
89/10
93/10
89/5
Answer:
17.8.
Step-by-step explanation:
89/5
= 17 4/5
= 17.8.
The correct improper fraction which is equivalent to 17.8 is,
⇒ 17.8 = 89 / 5
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
We have to given that;
The number is,
⇒ 17.8
Now,
We can simplify the number as;
⇒ 17.8
⇒ 178 /10
⇒ 89 / 5
Therefore, The correct improper fraction which is equivalent to 17.8 is,
⇒ 17.8 = 89 / 5
Learn more about the rational numbers visit:
https://brainly.com/question/12088221
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Please if anyone can help me
please help solve for y!
As both angles are supplementary
[tex]\\ \Large\sf\longmapsto 3x+(2x+3y)=180°[/tex]
[tex]\\ \Large\sf\longmapsto 3x+2x+3y=180[/tex]
[tex]\\ \Large\sf\longmapsto 5x+3y=180[/tex]
[tex]\\ \Large\sf\longmapsto 3y=180-5x[/tex]
[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5x}{3}[/tex]
And
[tex]\\ \Large\sf\longmapsto 3x=90[/tex]
[tex]\\ \Large\sf\longmapsto x=\dfrac{90}{3}[/tex]
[tex]\\ \Large\sf\longmapsto x=30[/tex]
Now
Putting value[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5x}{3}[/tex]
[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5(30)}{3}[/tex]
[tex]\\ \Large\sf\longmapsto y=\dfrac{180-150}{3}[/tex]
[tex]\\ \Large\sf\longmapsto y=\dfrac{30}{3}[/tex]
[tex]\\ \Large\sf\longmapsto y=10[/tex]
University Trailer Sales Company sold 356 utility trailers during a recent year. If the gross annual sales for the company was $328128, what was the average selling price for each trailer?
The average selling price of each trailer was nearly $
(Round to the nearest whole number.)
Answer:
The Answer is 2000$..........
guys pls tell me this answer as soon as possible
que es un cuadrilatero
How many unit cubes are on each layer of the cube?
6
3
12
9
Answer:
6
Step-by-step explanation:
Remember: Each layer has 6 cubes. Step 3 Count the cubes. cubes Multiply the base and the height to check your answer. So, the volume of Jorge's rectangular prism is cubic centimeters. if wrong very sorry
Answer:
9
Step-by-step explanation:
took the test
If carpet costs $24.61 per square yard and is available in whole square yards only, find the cost of carpeting the three bedroom floors in the accompanying floor plan.
Answer:
Step-by-step explanation:
The area of each bedroom is the product of its length and width.
Bdrm 1 area = (14 ft)×(14 ft) = 196 ft²
Bdrm 2 area = (11 ft)×(12 ft) = 132 ft²
Bdrm 3 area = (12 ft)×(11 ft) = 132 ft²
Then the total area of carpet needed is ...
196 ft² +132 ft² +132 ft² = 460 ft²
There are 9 ft² in each square yard, so the number of square yards needed is ...
(460 ft²)/(9 ft²/yd²) = 51.11... yd²
Since we can only obtain whole square yards, 52 square yards are needed. The cost of that will be ...
(52 yd²)×($24.61/yd²) = $1279.72
The cost of carpeting for the three bedrooms will be $1279.72.
Find the value of each expression.
30 ÷ 3 × 2
Answer:
Step-by-step explanation:
1) First division has to be done.
2) After that multiplication has to be done.
30 ÷ 3 * 2 = 10 * 2
= 20
Answer:
20
Step-by-step explanation:
30 ÷ 3 × 2
(Since it’s division and multi platoon, we just go left to right)
10 × 2
20
Question 1 of 10
Is (0,0) a solution to this system?
A. No. (0,0) does not satisfy either inequality.
B. No. (0,0) satisfies y< x2 + 2x + 1 but does not satisfy yz x2 + x - 4.
C. No. (0,0) satisfies ya x2 + x - 4 but does not satisfy y< x2 + 2x + 1.
O
D. Yes. (0,0) satisfies both inequalities.
Answer:
D
Step-by-step explanation:
0=> 0+0-4, 0=>-4 TRUE
0<0+0+1, 0<1 TRUE
U (24 win Q7 A gardener needs to order fertiliser for a piece of land. The piece of land is a square with sides measuring 8 metres. This formula shows how many grams of fertiliser she needs. grams of fertiliser needed = length in metres x width in metres x 25 The supplier sells these bags of fertiliser. 10K 5kg 2kg 1kg 1 kilogram 2 kilograms 5 kilograms 10 kilograms Which bag of fertiliser should the gardener order? Include figures to explain your answer. Show all your working.
Answer:
first: there is a problem in the question in de mentioned quantity u mentioned 10k instead of (10kg).
Step-by-step explanation:
add all your 1uantity afteru divide by 8
Answer:
one fertilizer bag from weight of two kilograms
Step-by-step explanation:
Grams of fertilizer needed = Length in meters * Width in meters * 25
= 8 * 8 * 25
= 1600 grams
Kilograms of fertilizer needed = 1600 / 1000
= 1.6 kilograms
Therefore, gardener can order 1 fertilizer bag with weight of 2kilpgrams.