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Verdich [7]
1 year ago
8

Write an algebraic expression that represent the sum of 8 and two-third of x?

Mathematics
1 answer:
lesantik [10]1 year ago
3 0

We have to sum 8 and two-third of x, so we must multiply x by 2/3 and sum it with 8,

thus, the expression is

\frac{2}{3}x+8

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At the end of year X, automobile installment credit accounted for 36 percent of all outstanding consumer installment credit. At
murzikaleks [220]

Answer:

option (c) 475

Step-by-step explanation:

let the automobile installment credit be 'C'

Given:.

Automobile installment credit accounted for 36 percent of all outstanding consumer installment credit

Now,

57 billion is \frac{1}{3} of automobile installment credit

or

57 billion = \frac{1}{3} × C

or

C = 57 × 3

or

C = 171 billion

now,

installment credit accounted = 36% of all outstanding consumer installment credit

or

171 billion = 0.36 × all outstanding consumer installment credit

or

All outstanding consumer installment credit = $475 billion

Hence, the correct answer is option (c) 475

4 0
4 years ago
In the figure, line segment VR is parallel to line segment US and m<1 = 45 degrees what is m<4?
Jobisdone [24]

The measure of ∠4 is 45°.

Solution:

Line segment VR is parallel to the line segment US.

m∠1 = 45°

∠1 and ∠4 are corresponding angles.

<em>If two lines are parallel, then the corresponding angles are congruent.</em>

m∠1 = m∠4

45° = m∠4

m∠4 = 45°

The measure of ∠4 is 45°.

3 0
3 years ago
Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.
slamgirl [31]

Step-by-step explanation:

Let the two-digit number is xy

<u>This can be written as:</u>

  • 10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

<u>The difference between the number and product of its digits is:</u>

  • d = 10x + y - xy

<u>Rewrite this as below:</u>

d = 10x - xy + y - 10 + 10 =

     x(10 - y) - (10 - y) + 10 =

     (x - 1)(10 - y) + 10

<u>We see that:</u>

  • 0 ≤ x - 1 ≤ 8 according to the condition given above
  • 1 ≤ 10 - y ≤ 10 again according to the condition given above

<u>The value of d is then:</u>

  • 0 + 10 ≤ d ≤ 8*10 + 10
  • 10 ≤ d ≤ 90
<h3>Proved</h3>
7 0
3 years ago
Read 2 more answers
A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate i
Mumz [18]

Answer:

399.84

Step-by-step explanation:

408.00 x .98 (2% reduction from 100) = 399.84

6 0
3 years ago
Fiona is gathering signatures on a petition to save the Orangutans. If she gets 4 times the number of signatures that she has ri
Reika [66]

Answer: 2000

Step-by-step explanation:

Set up equation

The total signatures she needs is 4 times as many as she has. From this we can create the equation (4n = total signatures)

We know that the total number of signatures is 8000, so plug this into the equation to get 4n = 8000

Solve for n

Now that we have an equation, we can solve for n by dividing both sides by 4

4n = 8000

n = 8000 / 4 = 2000

Final Answer

Fiona has collected 2000 signatures so far

3 0
3 years ago
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