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arlik [135]
3 years ago
11

Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?

Mathematics
2 answers:
Mumz [18]3 years ago
5 0

Answer:

35:40 = 7:8 is the equivalent ratio.

Step-by-step explanation:

35 / 5 = 7

40 / 5 = 8

=

7:8

konstantin123 [22]3 years ago
5 0

Answer:

the equivalent ratio is 35:40 = 7:8

Step-by-step explanation:

35 divided by 5= 7

40 divided by 5= 8

=7:8

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A video store rents new movies for $5 and older movies for $4. The owner wants
AnnyKZ [126]

Answer:

2480 new movies

Step-by-step explanation:

1) First you need to find out how much money the 400 older movies made.

400*4=1600

2) Next subtract that amount from the amount of revenue that the wants.

14000-1600=12400

3) Divide the amount of leftover money by the amount that a new movie costs to rent

12400/5=2480

This means that in order to reach the desired amount of revenue the store must sell 2480 new movies.

3 0
4 years ago
Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
siniylev [52]

Answer:

4.66

Step-by-step explanation:

A=P(1+

n

r

​

)

nt

Compound interest formula

A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365

A=94000P=59000t=10n=365

Given values

94000=

94000=

\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}

59000(1+

365

r

​

)

365(10)

Plug in values

94000=

94000=

\,\,59000\left(1+\frac{r}{365}\right)^{3650}

59000(1+

365

r

​

)

3650

Multiply

\frac{94000}{59000}=

59000

94000

​

=

\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}

59000

59000(1+

365

r

​

)

3650

​

Divide by 59000

1.593220339=

1.593220339=

\,\,\left(1+\frac{r}{365}\right)^{3650}

(1+

365

r

​

)

3650

\left(1.593220339\right)^{1/3650}=

(1.593220339)

1/3650

=

\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}

[(1+

365

r

​

)

3650

]

1/3650

Raise both sides to 1/3650 power

1.000127613=

1.000127613=

\,\,1+\frac{r}{365}

1+

365

r

​

-1\phantom{=}

−1=

\,\,-1

−1

Subtract 1

0.000127613=

0.000127613=

\,\,\frac{r}{365}

365

r

​

365\left(0.0001276\right)=

365(0.0001276)=

\,\,\left(\frac{r}{365}\right)365

(

365

r

​

)365

Multiply by 365

0.046578745=

0.046578745=

\,\,r

r

4.6578745\%=

4.6578745%=

\,\,r

r

Convert to percent (multiply by 100)

r\approx

r≈

\,\,4.66\%

4.66%

5 0
3 years ago
John and Martha are contemplating having children, but John’s brother has galactosemia (an autosomal recessive disease) and Mart
Rina8888 [55]
<h2>Answer:</h2>

Probability=\frac{1}{24}

<h2>Step-by-step explanation:</h2>

As the question states,

John's brother has Galactosemia which states that his parents were both the carriers.

Therefore, the chances for the John to have the disease is = 2/3

Now,

Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.

Now, one of those children married with a person.

So,

Probability for the child to have disease will be = 1/2

Now, again the child's child (Martha) probability for having the disease is = 1/2.

Therefore,

<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

Probability=\frac{2}{3}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{4}\\Probability=\frac{1}{24}

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)

<em><u>Hence, the probability for the first child to have Galactosemia is \frac{1}{24}</u></em>

3 0
3 years ago
Solve f(-4) if f(x) = -4x - 2.
nirvana33 [79]
F(-4)= -4(-4) -2
F(-4)= 14
3 0
3 years ago
Vicky's favorite beach towel is green and white and has a fish design. The green part covers 5/8 of the towel. A fish design is
Mrac [35]

Answer:

The part that has been drawn 3/5 of the towel

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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