Multiplying a number by 2 and then adding 5 gives the same number as subtracting a number from 23. What is the number?

Answers

Answer 1

Answer: 2 * x + 5 = 23 - x <=> 3 * x = 18 <=.> x = 6;

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Question 6 Multiple Choice Worth 1 points)(01.06 LC)Solve x - 5y = 6 for x.

What is the value of 16.8+(-22 4/5)-10A -29.6

B-16

C 16

D 29.6

Answers

The answer to what is the value of 16.8+(-22 4/5)-10 would be -16

A recipe calls for 16 fluid ounces for light whipp cream. If Anthony has 1pint of whipping cream in his refrigerator does he have enough for the recipe

Answers

Answer:

Given: A recipe calls for 16 fluid ounces for light whipp cream.

Using: 1 fluid oz = 0.0625 pints

Ratio defined as a relationship between two numbers indicating how many times the first number contains the second.

i.e, a to b or a: b

By using ratio:

$(pints)/(Fluid oz) =(0.0625)/(1)$

As we need 16 fluid ounces

Multiply by 1 in the form of i,e $(16)/(16)$

⇒ $(16)/(16) * (0.0625)/(1)= (16 * 0.0625)/(16)=(1 pints)/(16 fluid oz)$

Therefore, for 16 fluid ounces we need 1 containers of 1 pints each

Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?

Answers

The speed of one car is 'S'. The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S + 5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = 45

S + 10 = 55

Let one car travel at x mph

The other car travels at x+10 mph

Their combined speed is 2x+10 mph.

Distance = 500

time = 500 /2x+10 =5

10x+50=500

10x= 450

x=45 speed of one car

The other car travels at 45+10 = 55 mph

A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?

Answers

Answer:

156

Step-by-step explanation:

221/17=13

13*12=156

Answer:

$156

Step-by-step explanation:

221/17=x/12

221*12=17x

2652=17x

156=x

X + 1/7 = 5/14 what is the sum of x and what are the steps?

Answers

$x + (1)/(7) = (5)/(14)$

First, subtract $(1)/(7)$ from both sides.
$x = (5)/(14) - (1)/(7)$
Second, find the LCD of the two fraction.
Multiples of 14: 14
Multiples of 7: 7, 14
The LCD is 14.
Third, make the denominators the same as the LCD.
$(5)/(14) - (1x2)/(7x2)$
Fourth, multiply 1 × 2 to get 2 and 7 × 2 to get 14.
$(5)/(14) - (2)/(14)$
Fifth, combine the denominators.
$(5-2)/(14)$
Sixth, subtract 5 - 2 to get 3.
$(3)/(14)$

Answer as fraction: $(3)/(14)$
Answer as decimal: 0.2143

Audrey is buying a new car for $32,998.00. She plans to make a down payment of $4,200.00. If she's to make monthly payments of $525 for the next five years, what APR has she paid?A. 37%
B. .37%
C. 3%
D. 3.7%

Answers

This question is an annuity problem with cost of the car = $32,998, the present value of the annuity (PV) is given by the difference between the cost of the car and the down payment = $32,998 - $4,200 = $28,798. The monthly payments (P) = $525 and the number of number of years (n) = 5 years and the number of payments in a year (t) is 12 payments (i.e. monthly) The formula for the present value of an annuity is given by PV = (1 - (1 + r/t)^-nt) / (r/t) 28798 = 525(1 - (1 + r/12)^-(5 x 12)) / (r/12) 28798r / 12 = 525(1 - (1 + r/12)^-60) 28798r / (12 x 525) = 1 - (1 + r/12)^-60 2057r / 450 = 1 - (1 + r/12)^-60 Substituting option A (r = 37% = 0.37) 2057r / 450 = 2057(0.37) / 450 = 761.09 / 450 = 1.691 1 - (1 + r/12)^60 = 1 - (1 + 0.37/12)^-60 = 1 - 0.1617 = 0.8383 Therefore, r is not 37% Substituting option D (r = 3.7% = 0.037) 2057r / 450 = 2057(0.037) / 450 = 76.109 / 450 = 0.1691 1 - (1 + r/12)^60 = 1 - (1 + 0.037/12)^-60 = 1 - 0.8313 = 0.1687 Therefore, r is approximately 3.7%

To solve this we are going to use the loan payment formula: $P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

where

$P$ is the amount of the regular payment

$PV$ is the present debt

$r$ is APR in decimal form

$n$ is the number of payments per year

$t$ is the time in years

We know from our problem that Audrey is making a down payment of $4,200.00; since the cost of the car is $32,998.00, the present deb will be the cost of the car minus the down payment, so $PV=32998-4200=28798$ . We also know that she is going to make monthly payments of $525 for the next five years, so $n=12$ and $t=12$ . Let's replace the values in our formula:

$P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

$525= ( (r)/(12)(28798))/(1-(1+ (r)/(12))^(-(12)(5)) )$

We have two ways of finding the APR: we can solve for $r$ in our equation, which is extremely difficult, or we can evaluate the given APRs and check for which one both sides of the equation are almost the same. Since the second is way easier, we are going to use it.

A. 37%

The APR should be in decimal form, so we need to convert it first; to do it we are going to divide the APR by 100%

$r=(37)/(100) =0.37$