Rewrite the following expressions using the distributive property.

Brad swims 4 laps every 6min how long does it take him to swim 14 laps?

Nadya [2.5K]

I don’t know the answer

5 0

3 years ago

joey wants to buy $4,000 vehicle with 10% down for three years at 12% interest. What will his monthly payment be?

Nataly [62]

Answer:

$119.57

Step-by-step explanation:

We have to find present value of annuity to find the monthly payment.

Given,

Present value, PV = $4,000

Down payment = $4,000 × 10% = $400

Remaining present value = $(4,000 - 400) = $3,600

Interest, i = 12% = 0.12

As we need monthly payment, the interest rate will be monthly = 0.12/12 = 0.01.

Number of period, n = 3

monthly payment, m = 12

We know,

Present value of annuity = PMT × $\frac{1 - (1 + \frac{i}{m})^{-n*m} }{\frac{i}{m} }$

$3,600 = PMT × $\frac{1 - (1 + \frac{0.12}{12})^{-3*12} }{\frac{0.12}{12} }$

or, $3,600 = PMT × 30.1075

or, PMT = $119.57

Monthly payment should be $119.57

5 0

3 years ago

Use the subtraction method to solve the system of equations. Choose the correct ordered pair. 2x-y=6

Ber [7]

Answer:

Check for (3, 0)

Put x = 3 and y = 0 in equation 2x – y = 6

2(3) – (0) = 6

6 = 6

<h2>True statement. </h2>

(3,0) is a solution of 2x – y = 6.

(ii) Check for (0, 6)

Put x = 0 and y = 6 in 2x – y = 6

2 x 0 – 6 = 6-6 = 6

<h2>False statement. </h2>

⇒ (0, 6) is not a solution of 2x – y = 6.

(iii) Check for (2, -2)

Put x = 0 and y = 6 in 2x – y = 6

2 x 2 – (-2) = 6

4 + 2 = 6

6 = 6

<h2>True statement. </h2>

⇒ (2,-2) is a solution of 2x – y = 6.

(iv) Check for (√3, 0)

Put x = √3 and y = 0 in 2x – y = 6

2 x √3 – 0 = 6

2√3 = 6

<h2>False statement. </h2>

⇒(√3, 0) is not a solution of 2x – y = 6.

(v) Check for (1/2, -5)

Put x = 1/2 and y = -5 in 2x – y = 6

2 x (1/2) – (-5) = 6

1 + 5 = 6

6 = 6

<h2>True statement. </h2>

⇒ (1/2, -5) is a solution of 2x – y = 6.

Step-by-step explanation:

Hope it is helpful......

8 0

3 years ago

Which statements are true about the ordered pair

Lostsunrise [7]

Answer:

-The ordered pair (-1, 5) is a solution to the first equation because it makes the first equation true.

-The ordered pair (-1, 5) is a solution to the second equation because it makes the second equation true.

-The ordered pair (-1, 5) is a solution to the system because it makes both equations true

Step-by-step explanation:

<u><em>The correct question is</em></u>

Which statements are true about the ordered pair (−1, 5) and the system of equations?

x+y=4

x−y=−6

we know that

If a ordered pair is a solution of a equation, then the ordered pair, must satisfy the equation (makes the equation true)

If a ordered pair is a solution of the system of equations, then the ordered pair, must satisfy the equations of the system (makes both equations true)

we have

$x+y=4$ ----> first equation

$x-y=-6$ ----> second equation

step 1

<u><em>Verify if the ordered pair satisfy the first equation </em></u>

Substitute the values of x and y of the ordered pair in the first equation

For x=-1, y=5

$-1+5=4$

$4=4$ ---> is true

The ordered pair satisfy the first equation

so

<em>The ordered pair is a solution to the first equation because it makes the first equation true</em>

step 2

<u><em>Verify if the ordered pair satisfy the second equation </em></u>

Substitute the values of x and y of the ordered pair in the second equation

For x=-1, y=5

$-1-5=-6$

$-6=-6$ ---> is true

The ordered pair satisfy the second equation

so

<em>The ordered pair is a solution to the second equation because it makes the second equation true</em>

therefore

<em>The ordered pair (-1, 5) is a solution to the system because it makes both equations true</em>

6 0

4 years ago

Factoring polynomials <br> X^2 +8x+7

Talja [164]

Step-by-step explanation:

first find two numbers u multiply to get 7 and add to get 8: (1×7)=7,(1+7)=8

so in the first bracket u put (x +1) n in the other (x+7)

ans: (x+1)(x+7)

7 0

3 years ago