Mathematics College

The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
used to find the two numbers and solve it.

Answers

Answer 1

Answer:

+/- 2 both work.

Step-by-step explanation:

Remark

To make sure they are even, you need to use 2x and 2x + 2

Equation

2x (2x + 2) = 2x + 2x + 2 + 14      Combine like terms on the right

Solution

2x(2x + 2) = 4x  + 16                    Remove the brackets

4x^2 + 4x  = 4x + 16                    Subtract 4x from both sides.

          -4x    -4x

4x^2  = 16                                   Divide by 4

x^2 = 16/4

x^2 = 4                                        Take the square root of both sides

x = +/- 2

Question

Does - 2 work?

2(-2)(-2*2 + 2) = 4(-2)+2 + 14

-4(-4 + 2) = - 8 +2+ 14

-4( - 2) = - 8 + 2+ 14

8 = 8

Yes it does

Related Questions

3 An expression is shown below
3 +8+4x2 - 12
Place the parenthesis in the expression
so that it has a value of 18.

Answers

answer is (3+8+4) x 2 -12
3+8+4 = 15
15 x 2 = 30
30-12= 18

In a scale drawing of a painting, 1 centimeter represents 7 inches
Scale
1 cm : 7 in
Answer the following.
(a) The height of the real painting is 28 inches. What is the
height of the painting in the scale drawing?
(b) In the scale drawing, the length of the painting is 9
centimeters. What is the length of the real painting?

Answers

A) divide actual inches by scale:

28/7 =4 cm

B) multiply actual cm by scale:

9 x 7 = 63 inches

Anthony currently earns $11.75 per hour.
• He will get a $0.25 raise after 6 months.
• He will get a 2.5% raise after an additional 6 months.
After Anthony gets both raises, what will his pay be for 38 hours of work?

Answers

first 6 months passed:

11.75+0.25= $12.00

additional 6 months passed:

2.5%= 0.025

$12.00*.025= .30

$12.00+0.30= $12.30

$12.30*38= $467.40


Answer: $467.40

Answer:

$467.40

Step-by-step explanation:

well if you take his original pay (11.75) and add 0.25, you get 12.00 per hour.

12.00 + 2.5% raise would be:

12.00 + 0.3 or 30 cents, so the pay per hour is 12.30.

then take 12.30 x 38 and you should get $467.40

so after both raises, and 38 hours of work, he will earn $467.40

hope this helps

Please Help i need this done

Answers

Answer:

i think u add 2.5 everytime

Step-by-step explanation:

for example start with(0, 2.5) 0n the graph then add 2.5 to 2.5 then keep adding if im wrong srry

What is the Place value of 3.35

Answers

Answer:

3.35 = (3 * 100) + (3 * 1/101) + (5 * 1/102)

3.35 = (3 * 1) + (3 * 1/10) + (5 * 1/100)

3.35 = 3 + 3/10 + 5/100

3.35 = 3 + 0.3 + 0.05

the area of a circle is 60 π sq.cm. find the radius of the radius of the circle to the nearest tenth step-by-step

Answers

Answer:

r = 7.7

Step-by-step explanation:

A = πr²

60π = πr²

r² = 60π/π

r² = 60

[tex]\sqrt{r^2} =\sqrt{60}[/tex]

r = 7.746

Rounded to tenths:

7.7

Yesterday, there were 30 problems assigned for math homework. Nancy did 10% of them correctly. How many problems did Nancy get wrong?
1.) 5
2.) 10
3.) 20
4.)27​

Answers

Answer:

i dont know if this is right but im pretty sure its 5

Step-by-step explanation:

Answer:

4.) 27

Step-by-step explanation:

Just take 30 and - 10% = 27

Because you are looking for the wrong one so you always have to see how many it was before and how many it was after. Sometimes you can minus the number and then that's the answer you get from minusing

ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP​

Answers

Step-by-step explanation:

11.True

12.False

13.False

14.False

15.True

16.False

17.False

18.True

19.True

20.False

Answer:

here

Step-by-step explanation:

Solve the inequality. 4/5v < 7/15​

Answers

Answer:

v < 7/12

Step-by-step explanation:

2(x+3) = 5x+10 - x

Explain your reasoning

Answers

Answer:

x= -2

Step-by-step explanation:

2(x+3)=5x+10-x (we need to distribute first)

2x+6=4x+10   (then add like terms)

-2x=4    (now divide)

x= -2

Divide. Round your answer to the nearest whole number.

Answers

It will be 6609 if rounded to the whole number

Daryl had a $33 credit on his phone bill. He was then
charged $39 for this month's usage. What is his new
balance?

Answers

Answer:

6

Step-by-step explanation:

Plato

How is a ratio table used to graph equivalent ratios?

Answers

Answer:

Ratio tables show equivalent ratios between two quantities. They can help you find equivalent ratios in order to solve problems.

hope this helps:) emoji slammm

Select ALL the correct answers.
Which shapes have the same volume as the given rectangular prism?
8 cm
15cm
base area = 50 cm
Answers
A.) 15cm 5cm height base area 50 cm
B.) 8cm 5cm height base area 50 cm
C.) 24 cm height base area 50 cm
D.) 18 cm 15 cm height base area 50 cm

Answers

Answer: I think it’s A the cylinder

Step-by-step explanation:

For PLATO users, the answers are the cylinder and the cone, NOT EITHER OF THE PYRAMIDS!!! Your welcome....

-4x+3x<4 what is the awenswer to this equation

Answers

Answer:

X > -4

Step-by-step explanation:

Collect the like terms which literally leaves you with -x<4

Then just changes the signs, hence the answer.

Please mark brainliest!

Which describes the underlined part of the statement?
7x + 4 = 18
O variable
O coefficient
O equation
O term
Brown

Answers

Answer:

variable

this corect answer for this question

Equation so -4 to 18 then divide

Lucy buys a greeting card for $4.50 She then buys 5 postcards that all cost the same amount. The total cost is $7.00 How much is each postcard?

Answers

So as u can do $1.40 x 5 will = $7.00 so then the amount will be 1.40 each

A car can travel 374 kilometers on 34 liters of gasoline. How far can it travel on 35 liters?

Answers

Answer:

385 kilometers

Step-by-step explanation:

Divide 374 by 34 to get the unit price

Then multiply the unit price by 35

what is the volume of the sphere?

Answers

Answer:

The formula for the volume of a sphere is V = 4/3 πr³.  

Step-by-step explanation:

Surface area of sphere = 4πr2

Volume of a sphere = 4/3 πr3

You only need to know the radius to figure both the volume and surface area of a sphere.

Answers for surface area problems should always be in square units.

Answers for volume problems should always be in cubic units.

55 times 4 and time 3 equals what?

Answers

Answer:

55 times 4 =220

220 times 3 =660

Graph y=-(4)
X PLS HELP

Answers

Answer:

this is a horizontal line which crosses the y-axis at -4

Step-by-step explanation:

A man took out a $44,000 construction loan to remodel a house. The loan rate is 8.5% simple interest per year to be repaid in three months. How much is paid back?​

Answers

9514 1404 393

Answer:

  $44,935

Step-by-step explanation:

The amount due will be ...

  A = P(1 +rt) . . . . principal P at annual rate r for t years

__

3 months is 3/12 = 1/4 years, so the amount is ...

  A = $44,000(1 +0.085×1/4) = $44,935 . . . amount paid back

2 A line passes through the point (9,-8) and has a slope of 3 ving Write an equation in point-slope form for this line.​

Answers

Answer:

y=3x-35

Step-by-step explanation:

y=ax+c

a=slope=3; x and y are given, 9 and -8. put into the formula and solve for c.

-8=9*3+c

-35=c

y=3x-35

What is the place value of the digit 5 in the number 1,029.756

Answers

Answer:2

Step-by-step explanation:

Answer: Its the tens place, do you not pay attention in school?

In the following triangle what is the length of the hypotenuse?

Answers

Answer:

Hypotenuse: 6

Step-by-step explanation:

Sin45°=(BC/AC)

Sin45°=(3√2/AC

1/√2=3√2/AC

AC=3×2=6

so hypotenuse = 6

hope it helps

have a great day!!

Answer:

6

Step-by-step explanation:

here's your solution

=> sin 45° = perpendicular/hypotenuse

=> sin 45° = 1/√2

=> perpendicular = 3√2

=> 1/√2 = 3√2/hypotenuse

=> Hypotenuse = 3*√2*√2

=> Hypotenuse = 3*2

=>. Hypotenuse = 6

hope it helps

Please help, only if you know though thank you

Answers

The answer is x=10.295 roughly. You get this by using Pythagorean theorem, a^2 + b^2 = c^2. You just plug in the numbers to get the last side, 9^2 + 5^2 = c^2 and solve. 81 + 25 = c^2, 106 = c^2, then you take the square root of 106 to get your answer, c = 10.295.

Oliver wants to run at least 30 miles this week she has already run 14 miles by Tuesday how many miles does she need to run each day if she wants to reach her goal in 4 more days

Answers

Answer:

If she wants to run 16 more miles in four days (30 miles minus already done 14 miles) she can run  4 miles a day for the next four days. 4 miles a day.

Step-by-step explanation:

If there are 7 days in a week, how many days are there in 6 weeks? ​

Answers

Answer:

42

Step-by-step explanation:

Answer: 42

Step-by-step explanation: 7 x 6 = 42

Solve the system of equations

Answers

The answer is 2,16. Hope that helps.

Without using your calculator work out 1 7/12 + 13/20. Give answer in its simplest from

Answers

Answer:

31/15

Step-by-step explanation:

First, find the common multiplier of 20 and 12 (the lowest number that both fractions can be increased to). This is 60 (12 x 5 = 60, 20 x 3 = 60) and adjust the numerators accordingly: multiply 17 by five to get 85, and multiply 13 by three to get 39. Add them up to get 124/60, and then simplify - the answer will be 31/15! Hope this helps! Sorry if this was tough to understand, typing off my phone, so feel free to ask any questions :)

Answer:

0.720833

Step-by-step explanation:

First find the LCM of the two fractions

Then add the numerators together

form a single fraction

Lastly cancel the numerator and denominator if possible

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