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3 years ago

What is the value expression to 3 1/4 - 1 7/8 =show how?

1 answer:

3 0

3 1/4 - 1 7/8
First, subtract the whole numbers (3 - 1 = 2):
= 2 1/4 - 7/8
Convert 1/4 to 2/8:
= 2 2/8 - 7/8
Borrow 1=8/8 from the 2:
= 1 10/8 - 7/8
Subtract 7/8 from 10/8:
= 1 3/8

The answer is 1 3/8

Alternatively, use improper fractions:
3 1/4 = 13/4 = 26/8
1 7/8 = 15/8
26/8 - 15/8 = 11/8 = 1 3/8

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Answer:

14.62= d divided by 4

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3 years ago

Find the vertex of the function h(x) = x2 – 4x – 21

lakkis [162]

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is $x=-\frac{-4}{2(1)}=2$ .

When x=2, $h(2)=2^2 - 4(2)-21=-25$ .

So, the vertex is (2, -25).

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1 year ago

Pineapples cost $2.50 each and mangos cost $1.50 each. Tim purchased 15 pieces of fruit for $29.50. How many pineapples and how

kotykmax [81]

We can create equations to solve this.

2.50p + 1.50m = 29.50
p + m = 15

Solve for a variable in the 2nd equation and use the substitution method to solve.

p + m = 15

Subtract p to both sides:

m = -p + 15

Plug in -p + 15 for m in the first equation.

2.50p + 1.50(-p + 15) = 29.50

Distribute:

2.50p - 1.50p + 22.50 = 29.50

Combine like terms:

p + 22.50 = 29.50

Subtract 22.50 to both sides:

p = 7

Now plug this into any of the two equations and solve for the other variable.

p + m = 15

7 + m = 15

Subtract 7 to both sides:

m = 8

So he purchased 7 pineapples and 8 mangos.

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3 years ago

What is 9 x 100 + 8 x 10 + 7 x 1000

mr Goodwill [35]

Answer:

9 x 100 + 8 x 10 + 7 x 1000 = 7,980

6 0

3 years ago

According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o

igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

$\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ ~ N(0,1)

where, p = 0.20 and n = 100

Let $\hat p$ = proportion of red candies in our sample

So, P( $\hat p$ < 0.20) = P( $\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ < $\frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } }$ ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

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3 years ago