A newspaper carrier has $1.80 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

Answers

Answer 1
Answer: 1\ quarter=\$0.25\n1\ dime=\$0.10\n1\ nickel=\$0.05\n\nq\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ quarters\nd\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ dimes\nn\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ nickels\n\nq=2d\ \ \ and\ \ \ n=3q\ \ \ \Rightarrow\ \ \ n=3\cdot 2d=6d\n\nq\cdot0.25+d\cdot0.10+n\cdot 0.03=1.80\n\n2d\cdot0.25+d\cdot0.1+6d\cdot0.05=1.8\n\n

0.5d+0.1d+0.3d=1.8\n\n0.9d=1.8\ \ \ \Rightarrow\ \ \ d=2\ \ \ \Rightarrow\ \ \ q=2\cdot2=4\ \ \ and\ \ \ n=6\cdot2=12\n\nAns.\ 4\ quarters,\ 2\ dimes,\ 12\ nickels


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Which of the following is equivalent to (cd)5?

c5d
cd5
c5d5
5cd

Answers

If you would like to find the equivalent expression to (c*d)^5, you can do this using the following steps:

(c*d)^5 = c^5*d^5 = c^5d^5

The correct result would be c^5d^5.

The correct result would be c^5d^5.

the third option C, just took the test.

The value of Maggie's car decreased by 20% since last year, when she bought it. If the car is now worth $15,000.00, how much was the car worth when she bought it? A. $20,000.00

B. $17,647.06

C. $18,000.00

D. $18,750.00

Answers

15,000    x    A          15,000 = .8A
  .80            1.0


15,000   =  A
  .80

A = 18,750    the answer is D 




A cookie recipe calls for 2 3/3 cups of flour. If Ricky wants to make 1 1/2 times the recipe. How much flour does he need?

Answers

To find out how much flour Ricky needs, we first need to find 1 1/2 times the amount of flour in the original recipe.

2 3/3 cups of flour is the same as 8/3 cups of flour.

To find 1 1/2 times the amount of flour in the original recipe, we can multiply 8/3 by 1 1/2:

8/3 x 3/2 = 24/6 + 4/6 = 28/6

So 1 1/2 times the amount of flour in the original recipe is 28/6 cups of flour.

To find out how much flour Ricky needs, we can multiply this amount by 1 1/2:

28/6 x 3/2 = 84/12 + 18/12 = 102/12

So Ricky needs 102/12 cups of flour, which simplifies to 8 1/2 cups of flour.

A box has sides of 10 cm, 8.2 cm, and 3.5 cm. What is its volume?

Answers

To find the volume of a rectangular prism, you simply need to multiply the length (in this case, 10) by the width (8.2) by the height (3.5). When we do this, we are left with this:

10 * 8.2 * 3.5 = 82 * 3.5 = 287

The volume of the box is 287 cubic centimeters.
Hope that helped! =)
10*3.5*8.2=287

You times all of them together to get the general volume of the box. You use the equation Base*Width*Height = General volume of a Cube.

3) The half of (√200 + √128 ) is 1. √100 + √64

2. 9√2

3. 18√2

Answers

Answer:

Option 2 i.e. 9√2 is the correct option.

Step-by-step explanation:

Given the expression

(√(200)\:+\:√(128))

The half of (√(200)\:+\:√(128)) can be determined by dividing the expression in half.

Therefore, we need to solve the expression such as

(\left(√(200)\:+\:√(128)\:\right))/(2)

as

√(200)=√(100* 2)=√(100^2* \:2)=10√(2)

√(128)=√(64* 2)=√(8^2* \:2)=8√(2)

so the expression becomes

(\left(√(200)\:+\:√(128)\:\right))/(2)=(10√(2)+8√(2))/(2)

Add similar elements:  10√(2)+8√(2)=18√(2)

                     =(18√(2))/(2)

Divide the numbers: 18/2 = 9

                      =9√(2)

Therefore, we conclude that:

(\left(√(200)\:+\:√(128)\:\right))/(2)=9√(2)

Hence, option 2 i.e. 9√2 is the correct option.

If p(x) = x +9, and q(x) = 2x² + 3x, find p(2a) - q(a)

Answers

Answer:

p(2a) - q(a) = -2a² + 2a + 9

Step-by-step explanation:

Given;

p(x) = x + 9 and q(x) = 2x² + 3x,

we can replace 2a and a for p(x) and q(x).

p(2a) = 2a + 9 and q(a) = 2a² + 3a are the substituted values.

Now we can evaluate p(2a) - q(a):

p(2a) - q(a) = (2a + 9) - (2a² + 3a)

= 2a + 9 - 2a² - 3a

= -2a² + 2a + 9

p(2a) - q(a) = -2a² + 2a + 9

Hope this helps!