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lara31 [8.8K]
2 years ago
5

What is the value of X?​

Mathematics
2 answers:
Lisa [10]2 years ago
8 0
The value of X is 5 because the dimensions of the first triangle is x=5 and 15 so therefore the second triangle has to have the same dimensions according to X so that would be 15 and 6(X)=30. As a result, X=5
Mama L [17]2 years ago
4 0

the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.

\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}

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Question in the middle please
oksian1 [2.3K]
So it wants you to write two equations, one for the number of fruit and another for the money spent. gather your important information first:

20 fruits for $11.50
apples cost $0.50
bananas cost $0.75

let's do the cost equation first. it's $0.50 per apple, so 0.50a, and $0.75 per banana, so 0.75b. the total cost is $11.50. put all of this information together:

0.50a + 0.75b = 11.50  ... so, the cost of apples bought plus the cost of bananas bought equals 11.50

note what your variables stand for. a represents the number of apples, b represents the number of bananas. to write an equation for how many fruits bought, you simply have to add these two and set them equal to 20 (the total number of fruits bought).

a + b = 20
and your other equation
0.50a + 0.75b = 11.50

these are your two equations. to solve the system of equations, you first want to get one variable alone; the first equation will be easier.

a + b = 20
a = 20 - b

now take this equation and plug it into the second equation.
0.50(20 - b) + 0.75b = 11.50 ... you'll notice that you only have one variable left: b. solve for it. the first step is to distribute 0.50 to the parentheses
10 - 0.50b + 0.75b = 11.50 ... combine like terms
10 + 0.25b = 11.50 ... subtract 10
0.25b = 1.5 ... divide by 0.25
b = 6

6 bananas were purchased. plug this back into an equation to find out how many apples were purchased.

a + 6 = 20 ... subtract 6
a = 14

14 apples and 6 bananas were bought.
3 0
3 years ago
PROBLEM 2<br> Evaluate 5x – – when x = 4 and y = 2.
krok68 [10]

Answer:

20

Step-by-step explanation:

1. substitute x for (4)

2. multiply 5(4)

3. The answer is 20

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I think the answer is 2.
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They would use 15 bottles a day. 
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Answer:

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Step-by-step explanation:

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