A car dealership sold 212 cars in 4 months. At what rate did the dealership sell cars in cars per month?

Solve the proportional<br> equation below:<br> x/4 = x-6/3

aleksandrvk [35]

<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

$\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}$

$\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}$ ‏‏‎ ‏‏‎‎ $\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}$ ‏‏‎‎

$\boxed{\mathsf{3x = 4(x - 6)}}$

Apply the distributive property:

$\mathsf{3x = 4(x-6)}$

$\mathsf{3x = 4(x) - 4(6)}$

$\mathsf{3x = 4x - 24}$

Add 24 to both sides:

$\mathsf{3x + 24 = 4x - 24 + 24}$

$\mathsf{3x + 24 = 4x}$

Substract 3x to both sides

$\mathsf{3x - 3x + 24 = 4x - 3x}$

$\mathsf{24 = 4x - 3x}$

$\large{\boxed{\mathsf{24 = x}}}$

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<h3><u>Answer</u>. The value of x = 24.</h3>

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8 0

3 years ago

Y=2x^2+12x+14 in vertex form

balandron [24]

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

= 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

= 2(x + 3)² - 18 + 14

= 2(x + 3)² - 4 ← in vertex form

4 0

3 years ago

Kyle's car repair costs $1000. He has 2 coupons which could save him $80 off of $1000, or 15% off of $1000. EXPLAIN WHICH COUPON

never [62]

Answer:

Kyle would save more using his 15% off of $1000 coupon.

Explanation:

15 ÷ 100 • 1000 = 150

1000 - 150 = $850

$150 is the amount the 15% coupon took off.

$850 is the amount Kyle will pay.

vs.

1000 - 80 = $920

6 0

3 years ago

Explain how your knowledge of place value helps you divide a number in the thousands by whole numbers to 10 give an example to s

lapo4ka [179]

Answer with Step-by-step explanation:

The value of a digit due to its position in a number is called as place value.

For example, there's a number

23450

2 is in ten thousands place and it has a place value of 20,000

3 is in thousands place and it has a place value of 3000

4 is in hundreds place and it has a place value of 400

5 is in tens place and has a place value of 50

0 is in unit or ones place and has a value of 0

When we divide the number by 10, we move every digit from its current place value to the right.

23450 divided by 10 = 2345

Now,

2 is in thousands place and it has a place value of 2,000

3 is in hundreds place and it has a place value of 300

4 is in tens place and it has a place value of 40

5 is in unit or ones place and has a place value of 5

6 0

3 years ago

A local university wanted to understand what students prefer to eat during finals. They asked 1000 students, "Do you prefer chic

olga55 [171]

Answer:

$P(\text{Pizza}\ |\ \text{Female})=0.225$

Step-by-step explanation:

The two-way frequency table is attached below.

We have to calculate the probability of, a person chosen at random prefers pizza given that they are female, i.e $P(\text{Pizza}\ |\ \text{female})$