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2 years ago

Estimate the sum 9/10 + 7/8 A.about 0 B.about 1 C.about 1/2 D. about 2

2 answers:

5 0

First you would start getting the denominators to the same number and you could do this by multiplying 9/10 by 4, and 7/8 by 5 to get the denominators to 40 and when you add the fractions you get 71/40 so the answer would be D. About 2

kolezko [41]2 years ago

5 0

Hey there James!

Your answer: 71/40 = 1.77500 which is about 2.

We simplify 7/8

9/10 + 7/8

We find that the least common multiple is 40.

So we do, $\frac{9*4+7*5}{40} = 71/40$

Your answer is about 2.

~Jurgen

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In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible produ

MAXImum [283]

Answer:

The two positive integers are 30 and 30

Step-by-step explanation:

Let

x------> the larger positive integer

y-----> the smaller positive integer

P----> the product o the two positive integers

we know that

$x+y=60$

$y=60-x$ -----> equation A

$P=xy$ ----> equation B

substitute equation A in equation B

$P=x(60-x)$

$P=60x-x^{2}$

This is the equation of a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the largest possible product

Using a graphing tool

The vertex is the point (30,900)

That means------> For $x=30$ The largest possible product is $900$

and

$y=60-x$ ------> $y=60-30=30$

therefore

The two positive integers are 30 and 30

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2 years ago

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krek1111 [17]

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2 years ago

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The quotient of a number and 6 is less than 20.

ozzi

Answer:

$\frac{x}{6}$ < 20

Step-by-step explanation:

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2 years ago

How do u do this promble

kupik [55]

Answer:

x = 10

Step-by-step explanation:

The total measures of a circle must add up to 360°. In the diagram given there are two angles that are not given, however, both of these should be equal to each other. That means that the sum of the other two angles ('5x - 5' and 93°) must be equal to the other angle of the same measure (138°):

5x - 5 + 93 = 138

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Subtract 88 from both sides: 5x + 88 - 88 = 138 - 88 or 5x = 50

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2 years ago

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Elodia [21]

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2 years ago