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guajiro [1.7K]
3 years ago
7

Write an equation to model the situation. Then answer the question: Frank has M apples and Mary has twice as many apples as Fran

k. Together they have 27 apples. How many apples does Frank have?
Mathematics
1 answer:
Lunna [17]3 years ago
8 0

Answer:

Equation: M + 2M = 27

Frank has 9 apples.

Mary has 18 apples.

.

Step-by-step explanation:

M + 2M = 27 \\ \\   \frac{3M}{3}  =  \frac{27}{3} \\   \\ M = 9

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A candy company uses 8 gallons of corn syrup to make 1,776 pieces of candy. If they use 52 gallons of corn syrup per hour, how m
kondor19780726 [428]

Answer: 11,544 pieces of candy are made per hour.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Gallons of corn syrup used: 8 </em>
  • <em>Pieces of candy produced: 1,776 </em>
  • <em>gallons of corn syrup per hour: 52 </em>

If we apply proportions:

8 /1,776 = 52/x

Where x is the pieces of candy made per hour.

Solving

x = 52x1, 776 /8

x = 11,544

11,544 pieces of candy are made per hour.

4 0
3 years ago
The manufacturer of hardness testing equipment uses​ steel-ball indenters to penetrate metal that is being tested.​ However, the
kumpel [21]

Answer:

Check the explanation

Step-by-step explanation:

Let X denotes steel ball and Y denotes diamond

\bar{x_1} = 1/9( 50+57+......+51+53)

=530/9

=58.89

\bar{x_2}= 1/9( 52+ 56+....+ 51+ 56)

=543/9

=60.33

difference = d =(60.33- 58.89)

=1.44

s^2=1/n\sum xi^2 - n/(n-1)\bar{x}^2

s12 = 1/9( 502+572+......+512+532) -9/8 (58.89)2

=31686/8 - 9/8( 3468.03)

=3960.75 - 3901.53

=59.22

s1 = 7.69

s22 = 1/9( 522+ 562+....+ 512+ 562) -9/8 (60.33)2

=33295/8 - 9/8 (3640.11)

=4161.875 - 4095.12

=66.75

s2 =8.17

sample standard deviation for difference is

s=\sqrt{[(n1-1)s_1^2+ (n2-1)s_2^2]/(n1+n2-2)}

 = \sqrt{[(9-1)*59.22+ (9-1)*66.75]/(9+9-2)}

= \sqrt{1007.76/16}

=7.93

sd = s*\sqrt{(1/n1)+(1/n2)}

=7.93*\sqrt{(1/9)+(1/9)}

=7.93* 0.47

=3.74

For 95% confidence level Z (\alpha /2) =1.96

confidence interval is

d\pm Z(\alpha /2)*s_d

=(1.44 - 1.96* 3.75 , 1.44+1.96* 3.75)

=(1.44 - 7.35 , 1.44 + 7.35)

=(-2.31, 8.79)

There is sufficient evidence to conclude that the two indenters produce different hardness readings.

3 0
3 years ago
NO LINKS <br> what is the answer??
Alex787 [66]

Answer:

5625 bald eagles

Step-by-step explanation:

Given

y = 312.5x + 1562.5

Required

Predict the numbers in 1998

First, we calculate the value of x

x = 1998 - 1985 ---- years since 1985

x = 13

So, we have:

y = 312.5x + 1562.5

y = 312.5*13 + 1562.5

y = 4062.5 + 1562.5

y = 5625

8 0
3 years ago
How does the order of operations affect a equation? i really need to know
satela [25.4K]

Answer:

A specific order can change the answer completely

Step-by-step explanation:

7 0
4 years ago
The sum of the least and greatest of 3
ANTONII [103]

Answer:

Step-by-step explanation:

The the 3 consecutive numbers be

X, X + 1, X + 2

: X + X + 2 = 60

2X = 60 - 2

2X = 58

X = 58/2

X = 29

THE NUMBERS ARE 29, 30 AND 31

5 0
3 years ago
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