How do i do this question

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How do I find the calculated sum of 1/7 and 1/2

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$(1)/(7)+(1)/(2)=(1 * 2)/(7 * 2)+(1 * 7)/(2 * 7)=(2)/(14)+(7)/(14)=(2+7)/(14)=\boxed{(9)/(14)}$

first make the denomenators (bottom numbers) the same

find the smallest number that 7 and 2 can both go into
the number is 14

multiply both by 1 or x/x where x is the same

1/7 times 1 or
1/7 times 2/2=2/14

1/2 times 1 or
1/2 times 7/7=7/14

sum of numbers
2/14+7/14
add numberators (top numbers)
2+7=9
answer=9/14

Which of the b-values satisfy the following inequality?

5

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Answer:

Step-by-step explanation:

Lindsey has 50 coins in her change purse that are either dimes or quarters.if y represents the number of quarters she has,write an algebraic expression in terms of y that describes the number of dimes.

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since y represents the number of quarters,
the number of dimes=50-y
if the number of dimes represents x, the equation would be
y=50-x

Final answer:

The number of dimes that Lindsey has can be represented by the algebraic expression 50 - y, where y is the number of quarters.

Explanation:

Lindsey has a total of 50 coins which are either dimes or quarters. Let y represent the number of quarters Lindsey has. That means the total number of coins, 50, is the sum of the number of quarters (y) and the number of dimes (we'll call this x). So, we can write this equality as x + y = 50, where x is the number of dimes. We want an algebraic expression for x, the number of dimes, in terms of y, the number of quarters. From the equation above, we can solve for x: x = 50 - y. Therefore, the number of dimes Lindsey has in terms of the number of quarters is 50 - y.

Learn more about Algebraic Expression here:

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Can someone help me with this question and explain it?

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Answer:

m∠1 = 90°

m∠2 = 53°

m∠3 = 37°

Step-by-step explanation:

The given diagram shows three straight lines intersecting at one point.

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Angle 1 is vertically opposite to the angle marked 90°. Therefore:

m∠1 = 90°

Angle 2 is vertically opposite to the angle marked 53°. Therefore:

m∠2 = 53°

Angle 3 is vertically opposite to the angle marked 37°. Therefore:

m∠3 = 37°

The hypotenuse of a right triangle is 6 inches and one of the legs is √ 6 inches, the exact value of the other leg is _______ inches.A. 15
B. √ 15
C. 30
D. √ 30