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Elis [28]
3 years ago
14

At an automobile dealership, 2 out of every 12 cars sold are red. Which is the best prediction of the number of red cars sold wh

en the automobile dealer sells 150 cars?
Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

25

Step-by-step explanation:

2 out of 12 means also 1 out of 6.

so, a ratio of 1:6 or a factor of 1/6.

150 × 1/6 = 150 / 6 = 25

so, we expect that out of the 150 sold cars 25 have been red.

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Fully Factor 3x^2 – 16x + 20
ryzh [129]

Answer:

C. (3x2 - 10) (x - 2)

Step-by-step explanation:

3x^2 - 16x +20

Step 1: Sum = - 16x

Product = 60x^2

Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6

Step 3: Replace -16x with the two numbers found in step 2, then you will have; 3x^2 - 6x - 10x + 20

Step 4: Factorise the equation in step 3, like so;

(3x^2 - 6x)(- 10x + 20)

3x(x - 2) -10(x - 2)

(3x - 10)(x - 2)

To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)

If the bracket is opened properly, you will get 3x^2 - 16x + 20

4 0
3 years ago
The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle
8090 [49]

Answer: original angle = 75°

Its supplement 105°

Its complement = 15°

Step-by-step explanation:

We know that,

  • Sum of supplementary angles is 180 degrees.
  • Sum of complementary angles is 90 degrees.

Let x be the original angle , then its supplement = 180° - x

its complement = 90° - x

As per given,

180° - x = 7(90° - x)

⇒ 180° - x = 630° - 7x

⇒  7x- x = 630° -180°

⇒  6 x = 450°

⇒  x = 75°  [divide both sides by 6]

So, original angle = 75°

Its supplement =  180° - 75° = 105°

Its complement = 90° -75° = 15°

Hence,  original angle = 75°

Its supplement 105°

Its complement = 15°

4 0
3 years ago
3. Suppose your credit card has a balance of $7800 and an annual interest rate of 16%. You decide
Blizzard [7]

Answer:

  • $274.22 per month
  • $2071.92 in total interest
  • $433.48 more per month
  • $1379.52 less in interest

Step-by-step explanation:

a) The amortization formula is used to find the monthly payment (A):

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

for a loan of a principal amount P at annual rate r compounded n times per year for t years.

For a borrowed amount of $7800 at 16% compounded monthly for 3 years, the payment will be ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·3)) ≈ $274.22

You must pay $274.22 each month to pay off the credit card in 3 years.

__

b) The total amount repaid is 36 times this monthly payment, so is ...

  $274.22 × 36 = $9871.92

The amount by which this exceeds the principal borrowed is ...

  $9871.92 -7800 = $2071.92

You will pay $2071.92 in interest.

__

c) Changing the time period to 1 year gives the payment value ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·1)) ≈ $707.70

The additional amount you must pay is ...

  $707.70 -274.22 = $433.48

You must pay $433.48 more each month.

__

d) Your total interest with the higher payments will be ...

  $707.70×12 -7800 = $692.40

The difference in interest amounts is ...

  $2071.92 -692.40 = $1379.52

You will pay $1379.52 less in total interest.

_____

<em>Caveat</em>

Here, the monthly amounts are rounded and the total repayment amount is based on that rounded value. In an actual payment situation, the final payment will be adjusted by a small amount to account for the fact that the monthly payment shown is not exact. That will affect the total interest and the difference in interest.

8 0
3 years ago
Find the area of ABC with vertices A(3,-6), B(5,-6), and C(7,–9).
stellarik [79]

Area of a triangle ABC with the given vertices is 3 square units.

Given that, the vertices of a triangle ABC, A(3,-6), B(5,-6), and C(7,–9).

<h3>What is the area of triangle formula in coordinate geometry?</h3>

In Geometry, a triangle is a three-sided polygon that has three edges and three vertices. The area of the triangle is the space covered by the triangle in a two-dimensional plane.

Area of a triangle = \frac{1}{2} ( |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|)

Here, (x1, y1) = A(3,-6), (x2, y2) = B(5,-6), and (x3, y3) = C(7,–9)

Now, the area of a triangle = 1/2 (|3(-6+9)+5(-9+6)+7(-6+6)|)

= 1/2 (|3(3)+5(-3)+7(0)|)

= 1/2 (|(9-15)|)

= 1/2 × 6

= 3 square units

Therefore, area of a triangle ABC with the given vertices is 3 square units.

To learn more about the area of a area of triangle with vertices visit:

brainly.com/question/26633662.

#SPJ1

7 0
2 years ago
is this right?? plz answer
tekilochka [14]

Answer:maybe

Step-by-step explanation:

To answer that we need to talk about parallel universes

8 0
3 years ago
Read 2 more answers
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