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3 years ago

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Vikram needs to buy 72 juice boxes for a community picnic.At the store juice boxes are sold in packs of 3 juice boxes each.which

shows the equation that represents the situation and the number of packs of juice boxes vikram needs to buy?

1 answer:

Allisa [31]3 years ago

5 0

3x = 72

x = 24

3(24) = 72

24 boxes of juice need to be bought.

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Triangle FGH is similar to triangle DEF. solve for p

malfutka [58]

Answer:

We get value p=16

Step-by-step explanation:

When triangles are similar, the ratio of corresponding sides is equal.

In the given triangles we have to find value of p

We have the ratio: (Can use ratio of any two sides)

$\frac{HF}{PD} =\frac{GF}{ED}$

Now, putting values and finding p

$\frac{12}{p}=\frac{24}{32}\\Cross\:Multiply\\12\times 32 = 24 p\\p=\frac{384}{24}\\p= 16$

So, we get value p=16

8 0

3 years ago

Find the slope of the line between (1,5) and (3,9)

8_murik_8 [283]

Answer:

Step-by-step explanation: Use the two points that are given to you and substitute them into the slope formula to find the answer.

m=<u><em>y2-y1/x2-x1</em></u>

m=9-5/3-1

m=4/2

Simplify the answer.

m=4/2

m=2/1

Final answer is 2.

The slope is positive meaning it is ascending (going up).

<u><em>Hope this helps!</em></u>

8 0

2 years ago

Read 2 more answers

I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

4 0

3 years ago

Select the vertical asymptote(s) of the function <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%28x%2B6%29%28x-1%29%7D%

Bess [88]

Answer:

As the described function, we want to find vertical asymtotes, we find the value of x so that the denominator is equal to 0.

Here, (x - 2)(x + 6) = 0

=> x = 2, x =-6

=> Option C is correct.

Hope this helps!

:)

4 0

3 years ago

Read 2 more answers

Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth

bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

$|AB| = \sqrt{ ({10 + 2})^{2} + ({ - 1 - 5})^{2} } \\ = \sqrt{ {12}^{2} + ({ - 6})^{2} } \\ = \sqrt{144 + 36} \: \: \: \: \: \: \: \\ = \sqrt{180} \\ = 6 \sqrt{5} \: \: \\ =13.416407$

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0

3 years ago