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4 years ago

Need help with number 3

Mathematics

1 answer:

andrew-mc [135]4 years ago

4 0

A. 8 books per shelf.
So you find the greatest common denominator of 32 and 56.
$\frac{32}{56} \div 8 = \frac{4}{7}$
B. 11 shelves
The max # of books per shelf would be 8.
4 shelves of mystery and 7 shelves of biography.
4 + 7 = 11

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What percent df 160 is 56? Use the percent bar model.

Aleks [24]

Answer:

35%

i think

Step-by-step explanation:

6 0

3 years ago

Ted is making a bread recipe that uses three 1/4 cups of flour and a muffin recipe that uses 2 3/4 cups of flour eggs. How much

wlad13 [49]

Amount of flour used in bread recipe = $3 \frac{1}{4}$ cups

Amount of flour used in muffin recipe = $2 \frac{3}{4}$ cups

We have to determine how much more flour is in the recipe.

Since, more amount of flour is used in bread recipe than in muffin recipe.

Total amount of more flour = $3 \frac{1}{4} - 2 \frac{3}{4}$

= $\frac{13}{4} - \frac{11}{4}$

= $\frac{2}{4}$

= $\frac{1}{2}$

Therefore, $\frac{1}{2}$ more cup of flour is used in bread recipe than in muffin recipe.

Now, we will determine the total amount of flour used in both recipe.

Total amount of flour used in bread and muffin recipe

= $3 \frac{1}{4} + 2 \frac{3}{4}$

= $\frac{13}{4} + \frac{11}{4}$

= $\frac{24}{4}$

= 6 cups

Therefore, total 6 cups of flour are used in both the recipes.

3 0

3 years ago

Find the equation of a line glven the point and slope below. Arrange your answer in the form y = mx + b, where b is the

Greeley [361]

Answer:

b=-79

Step-by-step explanation:

(10,11) means x=10,y=11

m=9 b=?

y=mx+b

Make b the subject of formula

b=y-mx

b=11-9(10)

b=11-90

b=-79

4 0

3 years ago

Zoe is working two summer jobs, making $7 per hour babysitting and making $15 per hour clearing tables. In a given week, she can

Eddi Din [679]

Answer:

She must work at least 7 hours. All possible values are 7, 8, 9, 10

Step-by-step explanation:

14 - 4 = 10

4($7)=$28

$130-$28=$102

$102÷$15=6.8

$15x7=$105

$105+$28=$133

$15x8=$120

$120+$28=$148

$15x9=$135

$135+$28=$163

$15x10=$150

$150+$28=$178

5 0

4 years ago

Differentiate Vx(x + 2) with respect to x.

Travka [436]

Answer:

$y'= \frac{3x+2}{2\sqrt{x} }$

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

$y=\sqrt{x} (x+2)$

Step 2: Rewrite

$y=x^{\frac{1}{2} } (x+2)$

Step 3: Differentiate

Product Rule [Basic Power/Chain Rule]: $y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)$
Simplify: $y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}$
Rewrite: $y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}$
Add: $y'= \frac{3x+2}{2\sqrt{x} }$

7 0

3 years ago