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9966 [12]
3 years ago
14

Tom has a jar of quarters and dimes. he has q quarters and d dimes. write an expression that represents the total value in cents

of the coins in the jar using the variables q = q=the number of quarters in the jar and d = d=the number of dimes in the jar.
Mathematics
2 answers:
Tatiana [17]3 years ago
5 0

Answer: 25 p+10 q

Step-by-step explanation:

Given : Tom has a jar of quarters and dimes. he has q quarters and d dimes.

Let q = the number of quarters in the jar and d =the number of dimes in the jar.

We know that 1 quarter =25 cents

And 1 dime =10 cents

Then, Value of p quarters=25p

Value of q dimes=10 q

Thus the total value of the coins ( in cents) = 25p +20 q

Therefore, the expression that represents the total value in cents of the coins in the jar :-

25p+10q

alexdok [17]3 years ago
3 0
Q + d = x the amount of q and d equal the total cents in coins in the jar
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Calculate the new balance of an account that has been sitting for three years with a 1.5% interest rate and had an initial depos
maksim [4K]

Answer:

$5225

Step-by-step explanation:

Use the formula for the amount after simple interest: A = P(1 + rt)

"A" is the final amount, or balance.

"P" is the principal, or the starting amount.

"r" is the rate of interest in decimal form.

"t" is the time.

What we know:

P = 5000

t = 3

r = 1.5%

Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.

1.5% => 0.015 = r

Substitute what we know into the formula:

A = P(1 + rt)

A = 5000(1 + (0.015)(3))     <=simplify

A = 5000(1 + 0.045)

A = 5000(1.045)

A = 5225     <= new balance

The new balance of an account is $5225.

4 0
3 years ago
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical
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<span>5^2 + 10^2 = 125
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7 0
3 years ago
Read 2 more answers
Please solve the equation (15m + 3)/2 = -6
stiv31 [10]

Answer:

m = - 1

Step-by-step explanation:

Given

\frac{15m+3}{2} = - 6

Multiply both sides by 2 to clear the fraction

15m + 3 = - 12 ( subtract 3 from both sides )

15m = - 15 ( divide both sides by 15 )

m = - 1

6 0
3 years ago
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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
My am never friends have 3/4 and one nickel to spend if Maia and her friends share the money equally how much for each person ge
EleoNora [17]

Answer:

Each person get = 20 cents

Step-by-step explanation:

Given - Maya and three friends have three quarters and one nickel to spend.

To find - If Maya and her friends share the money equally how much will each person get ?

Proof -

We know that

1 nickel = 5 cents

1 quarter = 25 cents

As they spent, 3 quarters and one nickel

So,

Total money spent = 3(25) + 5 = 75 + 5 = 80 cents

⇒Total money spent = 80 cents

Now,

Total people = 4 (Maya and three friends )

Now,

Given that, They share the money equally

So,

Each person get = \frac{80}{4} = 20 cents

5 0
3 years ago
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