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3 years ago

14

A family smoothie recipe calls for strawberry juice and apple juice. This equation represents the proportional relationship betw

een the number of cups of strawberry juice (s) and apple juice (a) in the recipe.
s = 3a
Enter the number of cups of strawberry juice used for each cup of apple juice. Enter only the number of cups of strawberry juice.

1 answer:

sineoko [7]3 years ago

8 0

Answer: 21

Step-by-step explanation: 21 divided by 7 is three to the third power of 11 so your answer is 21, I think

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A farmer wants to put a fence around a garden in the shape of a square. The fence posts are placed every 2 meters. One side of t

zzz [600]

Answer:

The farmer would need 80 posts.

Step-by-step explanation:

If one side of the garden is 10m long, and the garden is a square, we can assume that all 4 sides will be 10m. That makes it 40m in total. Times 40×2 and you get 80.

6 0

3 years ago

Find the area of the following geometric figure

romanna [79]

The area of the triangle is 90 m²

Explanation:

Given that the base of the triangle is 15 m

The altitude of the triangle is 12 m

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

$Area=\frac{1}{2}bh$

where b is the base and h is the altitude

Thus, we have,

$b=15$ and $h=12$

Substituting the values in the above formula, we get,

$Area=\frac{1}{2}(15)(12)$

Multiplying the terms, we get,

$Area=\frac{180}{2}$

Dividing, we get,

$Area=90 \ m^2$

Therefore, the area of the triangle is 90 m²

4 0

3 years ago

The graph of an exponential function passes through (1, 10) and (4, 80). Find the function that describes the graph.

svetlana [45]

Answer:

y = 5*2ˣ

Step-by-step explanation:

<u>Exponential function:</u>

y = abˣ

<u>Ordered pairs given:</u>

(1, 10) and (4, 80)

<u>Substitute x and y values to get below system:</u>

10 = ab
80 = ab⁴

<u>Divide the second equation by the first one and solve for b:</u>

80/10 = b³
b³ = 8
b = ∛8
b = 2

<u>Use the first equation and find the value of a:</u>

10 = a*2
a = 5

<u>The function is:</u>

y = 5*2ˣ

4 0

2 years ago

Read 2 more answers

Square root of 5 rounded to the nearest tenth

Korolek [52]

The square root of 5 is 2

5 0

3 years ago

Read 2 more answers

What is the equation for

WARRIOR [948]

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line( $m_1$ ) = 0.25

Let $m_2$ be the slope of the perpendicular line.

Passes through the point (–6, 8).

<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>

$\Rightarrow m_1 \cdot m_2=-1$

$\Rightarrow 0.25\cdot m_2=-1$

$\Rightarrow m_2=\frac{-1}{0.25}$

$\Rightarrow m_2=-4$

Point-slope intercept formula:

$y-y_1=m(x-x_1)$

$x_1=-6, y_1=8$ and $m=-4$

Substitute these in the formula, we get

$y-8=-4(x-(-6))$

$y-8=-4(x+6)$

$y-8=-4x-24$

Add 8 on both sides of the equation.

$y-8+8=-4x-24+8$

$y=-4x-16$

Hence the equation of a line that is perpendicular to the given line is

y = –4x – 16

5 0

3 years ago