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Choose Yes or No to tell whether the expressions are equivalent.
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4(5c + 3) and 9c + 7
10f - 10 and 2(8-5)
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129 + 21 and 3(4g + 7)
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6(4) - 6) and 24 - 36)
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Help!!

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]567=7x\times x[/tex]

[tex]567=7x^2[/tex]

[tex]\dfrac{567}{7}=x^2[/tex]

[tex]81=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{81}[/tex]

[tex]x=\pm 9[/tex]

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.

Step-by-step explanation:

[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]

[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]

[tex]49 + 14 \sqrt{6} + 6[/tex]

[tex]55 + 14 \sqrt{6} [/tex]

The expanded and simplified answer is 55 + 14√6.

The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.

Given: (7 + √6)^(2)

First, we have to square the expression and expand it.

(a + b)^2 = a^2 +2ab b^2

Similarly we can open the brackets of the given expression:

(7 + √6)^(2) = 49 + 2*7*√6 + 6

= 55 + 14√6

This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.

Therefore, we have expanded and simplified the given expression as 55 + 14√6.

Learn more about the simplified form here: https://brainly.com/question/1698314

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Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

9 miles in 2/3 of a hour.

in 1 hour = 9 X 3/2 = 18.2 miles

In 2 hrs = 27 miles

in 3 hrs = 54.6 miles

in 3.5 hrs = 63.7 miles

Answer:

1 pound of avocado costs $1.8

Step-by-step explanation:

Allow me to rewrite your question for a better understanding and hope it ill fit the original one:

The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?

Here is my answer:

Given that:

5 pounds avocados = $9

They want to find out:

cost of 1 pound of avocado

So we use division to solve this problem:

$9:5 pounds = $1.8/pound or:

1 pound of avocado costs $1.8

Hope it will find you well

Thank you.

can i get brainliest by any chance i need 2 more

Answer:

The value of stock now = $966.35Step-by-step explanation:Given in question as, Three ... Three years ago, Jolene bought $800 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 6.5% per year.

Step-by-step explanation:

Answer:

£1464.84 is your answer

Step-by-step explanation:

Depending on whether you use simple or compound interest. I would think the stock would be worth:

$

750

×

1.25

=

$

937.50

at the end of one year,

$

937.50

×

1.25

=

$

1171.88

at the end of two years, and

$

1171.88

×

1.25

=

$

1464.84

at the end of three years.

Or, if you want to compute it in one shot,

$

750

×

1.25

3

=

$

1464.84

.

Answer:

23.2

Step-by-step explanation:

The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

23.2

The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2 (rounded to the nearest tenth).

Option B is the correct answer.

We have,

Find the mean:

Mean = (11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99) / 15

= 601 / 15

= 40.06

Subtract the mean and square the differences:

(11 - 40.06)² = 844.48

(16 - 40.06)² = 578.8836

(22 - 40.06)² = 326.1636

(28 - 40.06)^² = 145.4436

(29 - 40.06)² = 122.3236

(30 - 40.06)² = 101.2036

(31 - 40.06)² = 82.0836

(34 - 40.06)² = 36.7236

(37 - 40.06)² = 9.3636

(38 - 40.06)² = 4.28

(43 - 40.06)² = 8.6436

(49 - 40.06)² = 79.92

(56 - 40.06)² = 254.0836

(78 - 40.06)² = 1439.4436

(99 - 40.06)² = 3473.9236

Calculate the mean of the squared differences:

The mean of squared differences.

= 7506.9632/15

= 500.4642

Take the square root of the mean squared differences:

Standard deviation = √(500.4642)

Standard deviation ≈ 23.223

Therefore,

The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2.

Learn more about standard deviations here:

https://brainly.com/question/29115611

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Answer:

form of devision that takes longer bc it a fraction or decimal. first you want to get rid of the decimals. then devide the numbers from the lowest to the highest

I may be wrong been for ever since I did it on paper

Answer:

arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.l

hope it helps

Answer:

B

Step-by-step explanation:

First simplify the first term to get

10y^4

then multiply 10y^4 by 4 square root 6y^3

40y would be all you needed to get answer

Answer:

40y^5√6y (B)

Step-by-step explanation:

Let's multiply 2√25y^8 * 4√6y^3:

8√150y^11 (When you multiply exponents with the same base, you can just add the exponents and keep the same base:

Ex. 4^5 * 4^9 = 4^14)

Let's simplify 8√150y^11

√150 = 5√6

√y^11 = y^5√y

So our final answer would be:

40y^5√6y

Answer:

Not equivalent

Step-by-step explanation:

The three would also be distributed to z making the correct equivalent expression 15+3z

Answer:

D. Holly is incorrect. The decimal part follows a pattern but does not actually repeat.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

total number of students = 8

each student = 18 chocolate

so, total number of chocolates = 18×8 = 144 chocolate s

Answer:

yes

Step-by-step explanation:

Answer: 1 2/3 yards for each bow

Step-by-step explanation:

8 1/3 divided by 5 = 25/3 * 1/5 = 5/3

The main idea is using the Pythagorean formula to find the length of line segment [tex]DB[/tex].

Alr so you use the formula [tex]A^2 + B^2 = C^2[/tex]

[tex]C^2[/tex] is already given and is [tex]2\sqrt{5}[/tex]

and [tex]A^2[/tex] is [tex]3\sqrt{2}[/tex]

So using algebraic rules you'll get [tex]B[/tex] as:

[tex]\sqrt{2}[/tex]

Now using the formula: [tex]\frac{1}{2} b * h[/tex], you can find the area of tri ABD and CBD which would be [tex]3[/tex] and [tex]1[/tex] so add them up and you get [tex]4[/tex]!

the answer is 3

could I get brainlisted?

Answer:

0

Step-by-step explanation:

Use slope intercept form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-4)}{-12-(-6)}[/tex] = [tex]\frac{0}{-6}[/tex] = 0

Answer:

Freddy is 40

his nephew is 17

Step-by-step explanation:

6+2n +n=57           6+2n or 6+2(17

6+3n=57                     6+34

3n=51                             40

n=17                                f=40

Answer:

(x+2)(x+7)

Step-by-step explanation:

Factor out the expression and simplify if needed.

Answer:

(x+2)(x+7)

Step-by-step explanation:

what adds to 9: 2 and 7

what multiplies to 14: 2 and 7

Double bubble, put x in both of the bubbles, and positive 2 and 7, that is in factored form.

Answer/Step-by-step explanation:

This graph represents a negative association.

As x increase, y decreases showing that the points are descending or having a negative association.

Answer:

C = (S + 7) / B

Step-by-step explanation:

S = CB - 7

S + 7 = CB

C = (S + 7) / B

Hope this helps!

Answer:

where's the table. on és la taula?

Step-by-step explanation:

Answer:

x = 5/2 is the answer to the question

Kayle is 27 Jay is 46

Answer:

63

Step-by-step explanation:

Just subtract.

Answer:

Step-by-step explanation:

-5400/-450

12 minutes

Answer:

12 minutes

Step-by-step explanation:

If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.

-5,400 meters ÷ -450 meters/minute = 12 minutes

It will take 12 minutes for the plane to reach an altitude of -5,400 meters.

Let's check:

-450 meters x 12 minutes = -5,400 meters

Answer: 18.92

Step-by-step explanation: Multiply  

22 by  0.86

Answer:

18.92

Step-by-step explanation:

Multiply 0.86 times 22

Answer:

n= -1.825

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-4,0) (-2, -3)

(-3-0)/(-2+4)= -3/2