Points g,h,and I are collinear and h is in between g and I. GH=12 and GI=23, what is HI?

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each sc

Rashid [163]

Answer:

The system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.

Step-by-step explanation:

Let number of hat Chevy makes be h.

Also Let number of scarves Chevy makes be s.

Given:

Total Amount of yarns = 2 kg

Total number of items = 15

Since Items need to make are hat and scarves.

Hence the equation can be represented as;

$h+s=15 \ \ \ \ equation \ 1$

Again Given:

Each hat uses 0.2 kilograms of yarn.

each scarf uses 0.1 kilograms of yarn.

Hence the equation can be represented as;

$0.2h+0.1s=2 \ \ \ \ \ equation \ 2$

Hence the system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Now Solving these to find number of hats and number of scarves.

Multiplying equation 2 with 10 we get;

$10(0.2h+0.1s)=2\times 10\\10\times0.2h+10\times0.1s=20\\2h+s =20 \ \ \ \ \ equation \ 3$

Now Subtracting equation 1 from equation 3 we get;

$(2h+s)- (h+s) =20-15\\2h+s-h-s=5\\h= 5$

Now Substituting the value of h in equation 1 we get;

$h+s= 15\\5+s =15\\s=15-5\\s=10$

Hence 5 hats and 10 scarves can be prepared from 2 kg of yarn.

5 0

3 years ago

The equation 2(5+7) = (2•5) + (2•7) illustrates what property?

wel

In this question, you're trying to figure out what property is being represented.

Your answer would be the Distributive Property

This is your answer because as you can see, you are "distributing" the 2 to the variables inside the parenthesis.

When you distribute the number, you would be multiplying, in which in this case there is multiplication.

Therefore, Distributive property would be the correct answer.

3 0

3 years ago

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Multiply the numbers and simplify the answer: 3 x 1- 3/4

madam [21]

$\underbrace{3\times1}_{first}-\frac{3}{4}=3-\frac{3}{4}=2\frac{1}{4}$

$3\times1\frac{3}{4}=3\times\frac{1\times4+3}{4}=3\times\frac{4+3}{4}=\frac{3}{1}\times\frac{7}{4}=\frac{3\times7}{4}=\frac{21}{4}=\frac{20+1}{4}=\frac{20}{4}+\frac{1}{4}\\\center\boxed{=5\frac{1}{4}}$

5 0

3 years ago

What is the slope of the line that goes through -3,7 & -17,3

Natalka [10]

Point 1: (-3, 7)

Point 2: (-17, 3)

To find the slope, we need to use the slope formula which is as follows: m = (y2 - y1) / (x2 - x1). We will plug in each x and y coordinate from our points above, respectively.

m = (3 - 7) / (-17 - - 3)

m = (-4) / (-14)

m = 2/7

The slope of the line that goes through (-3, 7) and (-17, 3) is 2/7.

Hope this helps!! :)

7 0

3 years ago

Samantha wants to move into an apartment when she begins school in the fall. Right now she

kompoz [17]

Answer:

she should set up a budget on how much she makes

Step-by-step explanation:

4 0

3 years ago

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