When a number is increased by 26, the result is tripled. Then the result is increased by 72. If the final result is 1/2 of the number, what is the value of this number?

Answers

Answer 1
Answer:

Answer:

-60.

Step-by-step explanation:

Let the unknown number be x.

Number is increased by 26 = x+26

Then result is tripled = 3(x+26)

Then the result is increased by 72 = 3(x+26)+72

Final result is (1)/(2) of the number = (1)/(2)x

3(x+26)+72=(x)/(2)

3x+78+72=(x)/(2)

3x+150=(x)/(2)

Isolate variable terms.

3x-(x)/(2)=-150

(6x-x)/(2)=-150

Multiply both sides by 2.

5x=-300

Divide both sides by 5.

x=-(300)/(5)

x=-60

Therefore, the required number is -60.


Related Questions

The girls' swim team is hosting a fund raiser. They would like to raise at least $500 . They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items. Write a system of inequalities that models what is going on in this problem. Graph it and find a solution.
Find the exact values of the numbers c that satisfy the conclusion of the Mean Value Theorem for the interval [−2, 2]. (Enter your answers as a comma-separated list.)
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
35 points plz helpEvaluate −4(14)6x for x=13.Enter your answer as a fraction in simplest form in the box.
PLEASE HELP ASSIGNMENT DUE TODAY NEED TO PASS 1) You have 2 lines. The first goes through points (6, 2) and (4, 6). The second goes through points (5,-1) and (1, 1). These lines are:A) perpendicularB) parallelC) horizontal and verticalD) none of the above2) You have 2 lines. The first goes through points (7, 0) and (4, 6). The second goes through points (1, 1) and (5,3). These lines are:A) perpendicularB) parallelC) horizontal and verticalD) none of the above

How do I find the lateral and total surface area of the prism.Please give a step by step. Thanks.

Answers

Explanation:

Lateral Area

The lateral area is the area of the sides of the prism. If the faces are perpendicular to the bases, then each face is a rectangle. The area of each rectangle is the product of its length and width, generally the product of the height of the prism and the length of one edge of the base.

The total lateral area will then be the product of the height of the prism and the perimeter of the base.

Total Area

The total area is the sum of the lateral area (computed as above) and the area of the two bases of the prism. The formula for that area depends on the shape of the prism. (You have already seen formulas for the areas of triangles, rectangles, and other plane shapes. If not, they are readily available in your text or using a web search.)

10. Sarah is planning to fence in her backyard garden. One side of the garden is 34 feet long, another side is 30 feet long, and the third side is 67 feet long.Find the perimeter of Sarah’s garden to determine the amount of fencing material needed.A.262 ft.
B.68,340 ft.
C.250 ft.
D.131 ft.

Answers

Answer:

131ft is the amount of fencing material needed

Step-by-step explanation:

Perimeter is the distance around a shape: we have to sum all the distances

P = d1 + d2 + d3

P = 34 ft + 30 ft + 67 ft = 131 ft

Answer:

D. 131 ft.

Step-by-step explanation:

If Sarah is planning to fence in her backyard garden and one side of the garden is 34 feet long, another side is 30 feet long, and the third side is 67 feet long. The perimeter of Sarah’s garden to determine the amount of fencing material needed is 131 feet.

A comic book store is having sale. You can buy 20 comic books for $35. What is cost of 8 comic books during the sale

Answers

Answer:

The cost of 8 comic books is $14

Step-by-step explanation:

Given

20\ books = \$35

Required

Determine the cost of 8 books

First, we need to determine the cost of 1 book

20\ books = \$35

Divide through by 20

20\ books/20 = \$35/20

1\ book = \$35/20

1\ book = \$1.75

Then multiply both sides by 8 to get the cost of 8

8 * 1\ book = \$1.75 * 8

8 \ books = \$14

Hence;

The cost of 8 comic books is $14

answer: is 2.5 and c.15 are equivalent ratios what isvalue of C?

A ladder is leaning against the side of a 10 m house. If the base of the ladder is 3 m awayfrom the house, how long is the ladder? Please draw a diagram.

Answers

Answer: It depends on how you round but about 10.44 m.

Step-by-step explanation:

If In (x) = 3.53, what is the value of x ?

Answers

I need more information please ?

Which of the following represents the value of x, the missing exponents needed to make the equation a true statement? Explain your reasoning.(Please answer! I need this ASAP)

Answers

Answer:  x = 21

======================================================

Explanation:

The exponent rules are

  • a^b * a^c = a^(b+c) .... lets call this rule 1
  • (a^b)/(a^c) = a^(b-c) .... lets call this rule 2
  • (a^b)^c = a^(b*c) ......... lets call this rule 3

The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.

We'll keep this in mind for later.

------------------

On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)

Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).

------------------

After using those exponent rules, the original equation turns into

c^(20-x) = c^(-1)

The bases are both c, so the exponents must be equal

20-x = -1

-x = -1-20

-x = -21

x = 21

Other Questions