The quotient of a number and three, increased by one <br><br><br> Using the variable N

The first number of three consecutive even integers equals the sum of the second and third. Find the three numbers.

Arlecino [84]

The first integer (x) is equal to the consecutive even integers, x+2, x+4.

x = (x+2) + (x+4)

x = 2x + 6

x - 6 = 2x

x = -6 (First integer)

+2

-4 (Second integer)

+4

-2 (Third integer)

Integers: -6, -4, -2

Equation: x = (x+2) + (x+4)

8 0

3 years ago

Read 2 more answers

A box of 15 cloud markers cost $12. 70. A box of 42 cloud markers cost $31. 60. How much would a box of 50 cloud markers cost? W

dalvyx [7]

P=0.7N + 2.20
Hope this helps

3 0

2 years ago

What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFrac

anastassius [24]

Answer:

$x =-24$

Step-by-step explanation:

Given

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Required

Solve for x

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Open all brackets

$\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x + \frac{1}{2}*14 - 3$

$\frac{2 * 1}{3 *2}x + \frac{2 * 12}{3}= \frac{1 * 1}{2 * 3}x + \frac{1 * 14}{2} - 3$

$\frac{1}{3}x + \frac{24}{3}= \frac{1}{6}x + \frac{14}{2} - 3$

$\frac{1}{3}x +8= \frac{1}{6}x + 7 - 3$

Collect like terms

$\frac{1}{3}x - \frac{1}{6}x =7 - 3 -8$

$\frac{1}{3}x - \frac{1}{6}x =-4$

Solve fraction

$\frac{2-1}{6}x =-4$

$\frac{1}{6}x =-4$

Multiply both sides by 6

$6 * \frac{1}{6}x =-4 * 6$

$x =-4 * 6$

$x =-24$

8 0

3 years ago

What is the equation for this math problem? Steven spent $90 on clothes. He bought a pair of jeans that cost $34 and spent the r

dexar [7]

Answer:

The equation for the given maths problem is $ 34 + $ 8x = $ 90

Step-by-step explanation:

According to question :

The Total amount spent on cloths = $ 90

The cost of a pair of jeans = $ 34

The cost of each t-shirt pair = $ 8

The amount spent on t-shirt = $ 90 - $ 34 = $ 56

Let the number of t-shirt pair = x

So, $ 34 + $ 8x = $ 90

Or, $ 8x = $ 90 - $ 34

∴ x = $\frac{ 90 - 34}{8}$

Hence The equation for the given maths problem is $ 34 + $ 8x = $ 90 Answer

8 0

3 years ago

The jewerly store is having a sale. Necklaces that were regulaey priced at $23.50 are on dale for $18.80. What is the percentage

AveGali [126]

What we need to do is find the difference between the two numbers to find the difference in price and then figure out what the percent of 23.5 that is

23.50-18.80=4.7

now we'll set up a proportion

4.7 x
----- = -----
23.5 100

then cross multiply and divide

100×4.7=470/23.5=20

the percent of decrease is 20%

I hope I've helped!

8 0

3 years ago

The quotient of a number and three, increased by one Using the variable N