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Sloan [31]
3 years ago
11

A cookie factory uses 1 1/5 bags of flour in each batch of cookies. the factory used 7 1/5 bags of flour yesterday. how many bat

ches of cookies did the factory make?
Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Hello!

To find how much batches of cookies the factory made, we need to divide the total number of bags of flour used by how many bags of flour are needed for one batch of cookies.

Before dividing, we need to convert the complex fraction into an improper fraction.

1 1/5 → 5 × 1 + 1 = 6/5

7 1/5 → 5 × 7 + 1 = 36/5

For every batch of cookies, the factory uses 6/5 bags of flour. Yesterday, the factory used 36/5 bags of flour.

Remember when dividing by a fraction, it is like multiplying its reciprocal. This means that the second fraction is flipped, then which it can be multiplied together.

\frac{36}{5} / \frac{6}{5} → \frac{36}{5} * \frac{5}{6} = \frac{180}{30} = 6

Therefore, the cookie factory made 6 batches of cookies yesterday.

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Your car lease requires a down payment of $1,500 and payments of $450 per month for 36 months. the apr is 6% compounded monthly
Svetach [21]
Monthly interest, i = APR/12 = 0.06/12 = 0.005
Monthly payment, A = $450
Period, n = 36 (months)
Future value of payment
= A((1+i)^n-1)/i
= 450((1.005^36-1)/0.005
= 17701.2472341
Future value of car
F = future value of payment + residual value
= 17701.2472341 + 20000
= 37701.2472341

Present value of car
= downpayment + present value of future payments
= 1500 + F/(1+i)^36
= 1500 + 37701.2472341/(1.005^36)
= 1500 + 31504.86
= 33004.86
8 0
3 years ago
Parte de Cálculo: En cada una de las siguientes proporciones, utilizar regla de tres para determinar el valor desconocido
sineoko [7]

Answer:

<u><em>x = 4</em></u>

<u><em>x = 3</em></u>

<em><u>x = 10</u></em>

<u><em>x = 3</em></u>

<em><u>x = 16</u></em>

<em><u>x = 35</u></em>

Step-by-step explanation:

\frac{x}{5} :\frac{8}{10}

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

<u><em>x = 4</em></u>

\frac{8}{12} :\frac{2}{x}

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

<u><em>x = 3</em></u>

\frac{15}{3} :\frac{x}{2}

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

<em><u>x = 10</u></em>

\frac{x}{6}:\frac{6}{12}

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

<u><em>x = 3</em></u>

\frac{x}{8} :\frac{4}{2}

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

<em><u>x = 16</u></em>

\frac{10}{2} :\frac{x}{7}

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

<em><u>x = 35</u></em>

5 0
3 years ago
What is the are of the sqare? (P=4s) (A=s2) the bottom of the sqare has a perimeter of 3ft
Anettt [7]

Answer:

You plug in 3 as s. So ur formula is P=4(3)

P=12 ft

Step-by-step explanation:

yes im answering this from a year later i just need like 3 points sry

6 0
3 years ago
Forensic scientists can estimate the overall height of an adult male based on the length of the femur bone. A femur bone that is
faust18 [17]

Answer:

h = 1.88f + 32.01

Step-by-step explanation:

To find the linear equation, we first find the gradient of the linear equation from

(y₂ - y₁)/(x₂ - x₁) = m and using the values of the length of femur and overall height respectively, where x₁ = 18 inches and y₁ = 65.85 inches and x₂ = 14 inches and y₂ = 58.33 inches

So, (y₂ - y₁)/(x₂ - x₁) = m

(58.33 - 65.85)/(14 - 18) = m

-7.52/-4 = m

m = 1.88

So, to find the linear equation, we use

(y - y₁)/(x - x₁) = m where f₁ = 18 inches and h₁ = 65.85 inches

So, (y - y₁)/(x - x₁) = m

(y - 65.85)/(x - 18) = 1.88

(y - 65.85) = 1.88(x - 18)

y - 65.85 = 1.88x - 33.84

collecting like terms, we have

y = 1.88x - 33.84 + 65.85

y = 1.88x + 32.01

Given that y = h = overall height of adult male and x = f = length of femur,

h = 1.88f + 32.01

6 0
3 years ago
Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with mea
Anika [276]

Answer:

About 3 years Speedy Jet printers be guaranteed.

Step-by-step explanation:

Given : Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with

mean \mu = 4 and standard deviation  \sigma = 0.78

If the company wishes to replace no more than 10% of the printers.

To find : How long should Speedy Jet printers be guaranteed ?

Solution :

Using Z- table,  

Z value corresponding to 10% or 0.10 = -1.28.

Applying z-score formula,

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

The value of x is given by,

x=(z\times \sigma)+\mu

Substitute the values,

x=(-1.28\times 0.78)+4

x=-0.9984+4

x=3.0016

So, approx 3 years.

Therefore, About 3 years Speedy Jet printers be guaranteed.

8 0
3 years ago
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