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Deffense [45]
3 years ago
10

Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch

? Group of answer choices 4/7 3/4 1 3/4 1 1/2
Mathematics
1 answer:
astraxan [27]3 years ago
8 0

Answer:  1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP  1

Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples

LET x be number of cups of apples to make each batch

7 cups of  apples = 4 Batches

        x cups of apples = 1 Batch

STEP 2  Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches  X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x   = 7 / 4 =  1 3/4

number of cups of apples to make each batch=  1 3/4

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Answer:

46 and 277

Step-by-step explanation:

Given

f(x) = x^{4} - 8x - 11 ← substitute x = 3, x = - 4 into f(x)

f(3) = 3^{4} - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46

f(- 4) = (-4)^{4} - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277

4 0
2 years ago
A student claims that 8^3 x 8^-5 is greater than 1. Explain whether the student is correct or not.
nlexa [21]
Remember:
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a^-m=1/a^m


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Answer: the student is not correct, because 1/64<1, and 8³ x 8⁻⁵=1/64.
7 0
3 years ago
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Virty [35]

Answer:

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Step-by-step explanation:

See the attached for a graph.

3 0
3 years ago
An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

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Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

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Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0
3 years ago
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Step-by-step explanation:

8 0
3 years ago
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