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2 years ago

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Mathematics

1 answer:

Scilla [17]2 years ago

3 0

The perimeter of the top of the basket is 20 in.

<h3>What is perimeter of square?</h3>

Perimeter of square is defined as addition the lengths of the square's four sides.

Diagonal = 6

Let, side of square = a

a²+a² = 6²

2a² = 36

a² = 18

a = 3√2

Perimeter of the square = 4 × side of square

Perimeter of the square = 4 × 3√2

Perimeter of the square = 12√2 ≈ 20 in

Hence, the perimeter of the top of the basket is 20 in.

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Jessica has 19 yellow balloons. Tim has eight times more yellow balloons how many yellow balloons does tim have

nasty-shy [4]

Tim has 152 yellow balloons. 19 times 8 = 152

3 0

3 years ago

The product of 5 and a number x is 1/4. what is the value of x?

solniwko [45]

The mathematical expression is
5x = 1/4
Divide:
x = (1/4)/5 = (1/4)*5 = 5/4 (ANSWER)

4 0

3 years ago

Read 2 more answers

Nathan shares out 12 sweets he gives yasmin 1 sweet for 3 sweets he buys how many sweets does nathan get

Yuri [45]

Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.

<h3>How many sweets does Nathan gets?</h3>

Given that, Nathan shares out 12 sweets, he gives Yasmin 1 sweet for 3 sweets he buys.

Let the sweet be represented by x

For each x sweet for Yasmin, Nathan gets 3x sweets

Hence

x + 3x = 12

We solve for x

4x = 12

x = 12/4

x = 3

Hence;

Yasmin gets x sweet = 3

Nathan gets 3x sweets = 3 × 3 = 9

Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.

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6 0

2 years ago

Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =

aniked [119]

Answer:

The equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

y-intercept b = -12

slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

$y = mx+b$

$y\:=\:\frac{3}{2}x\:+\:\left(-12\right)$

$y\:=\:\frac{3}{2}x\:-12$

Therefore, the equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

8 0

3 years ago

What is the vertex of the graph of the function below? <br><br>y = x2 + 8x + 12

Vera_Pavlovna [14]

Hello,

$The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is: \\ V=( -\frac{b}{2a},f(-\frac{b}{2a}) )$

That means that we must first obtain x, then we replace x in the function to get y, so:

$x=- \frac{b}{2a} \\ \\ x=- \frac{8}{2*(1)} \\ \\ \boxed{x=-4} \\ \\ Reeplacing \,\,x: \\ y=(-4)^{2} +8*(-4)+12 \\ y=16-32+12 \\ \boxed{y=-4}$

Answer: V=(-4 , -4)

5 0

3 years ago