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Colt1911 [192]
3 years ago
15

There are 9 students in a class: 7 boys and 2 girls.

Mathematics
1 answer:
Crank3 years ago
6 0

Answer: 9/7

Step-by-step explanation:

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-7.07106

Step-by-step explanation:

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Marshall invest $4500 into an account bearing 6% interest compounded semiannually. How much interest will be added into this acc
Sphinxa [80]

Answer:

$1547.62

Step-by-step explanation:

The principal Marshall invested is $4500.

The rate of interest is 6%

The compound interest formula is

A=P(1+r)^n

We substitute P=4500,r=0.06 and t=5 to obtain:

A=4500(1+ \frac{0.06}{2} )^ {2 \times 5}

We simplify to get:

A=4500(1+ 0.03)^ {10} = 4500 \times  {1.03}^{10}

This gives us:

A=6047.62

The interest after 5 years is

6047.62 - 4500 = 1547.62

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What is the slope of the line ?<br> please help me fast
ValentinkaMS [17]
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3 years ago
The table shows a proportional relationship between the mass, in kilograms
OlgaM077 [116]

Answer:

C) Dog: 40 kg, Medicine: 1.6 mL

D) Dog: 35 kg, Medicine: 1.4 mL

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Let

x --->  the mass, in kilograms of a dog

y ---> milliliters of flea medicine a veterinarian prescribes

<u><em>Find the value of the constant of proportionality k for the given data</em></u>

k=\frac{y}{x}

For x=50 kg, y=2 mL ----> k=\frac{2}{50}=0.04\ mL/kg

For x=10 kg, y=0.4 mL ----> k=\frac{0.4}{10}=0.04\ mL/kg

For x=5 kg, y=0.2 mL ----> k=\frac{0.2}{5}=0.04\ mL/kg

so

The linear direct equation is equal to

y=0.04x

<u><em>Verify each choice</em></u>

A) Dog: 15 kg, Medicine: 0.9 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{0.9}{15}= 0.06\ mL/kg

so

0.06 \neq 0.04

therefore

These numbers could not be used as the missing values in the table

B) Dog: 25 kg, Medicine: 0.8 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{0.8}{25}= 0.032\ mL/kg

so

0.032 \neq 0.04

therefore

These numbers could not be used as the missing values in the table

C) Dog: 40 kg, Medicine: 1.6 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{1.6}{40}= 0.04\ mL/kg

so

0.04 = 0.04

therefore

These numbers could  be used as the missing values in the table

D) Dog: 35 kg, Medicine: 1.4 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{1.4}{35}= 0.04\ mL/kg

so

0.04 \neq 0.04

therefore

These numbers could be used as the missing values in the table

E) Dog: 20 kg, Medicine: 1.2 mL

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality

\frac{1.2}{20}= 0.06\ mL/kg

so

0.06 \neq 0.04

therefore

These numbers could not be used as the missing values in the table

5 0
3 years ago
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