1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DaniilM [7]
3 years ago
11

The sum of the ages of Skyler and Kori is 96 years. 8 years ago, Skyler's age was 4 times Kori's age. How old is Skyler now?

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Skyler's age is 72 and Kori's age is 24.

Step-by-step explanation:

  • Step 1: From the given details, form equations. Let the age of Skyler be x and that of Kori be 96 - x (since their sum is 96).
  • Step 2: Considering their ages 8 years ago, form equations.

⇒ (x - 8) = 4 (96 - x - 8)

⇒ (x - 8) = 4 (88 - x)

⇒ (x - 8) = 352 - 4x

⇒ 5x = 360

⇒ x = 72

  • Step 3: Calculate Kori's age

⇒ 96 - x = 24

You might be interested in
Miguel has two same size rectangles divivded into the same number of equal parts. One rectangle has 3/4 of the parts shaded, and
ivanzaharov [21]
Bother rectangles could be divided into 8 parts.
6 0
3 years ago
A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po
Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call h the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is h - 49.

The wire length d is 14 ft longer than height h, hence

d= h+14.

Thus we get a right triangle with hypotenuse d= y+14, perpendicular  h, and base h-49; therefore, the Pythagorean theorem gives

(h-49)^2+h^2 = (h+14)^2

which upon expanding we get:

h^2-98h+2401 = h^2+28h+196

further simplification gives

h^2-126h+2205=0,

which is a quadratic equation with solutions

h =21ft\\h = 105ft.

Since the first solution h =21ft will give the triangle base length of 21ft-49ft = -28ft which is negative; therefore, we disregard it and pick the solution h = 105ft.

Hence, the height of the pole is 105ft.

3 0
2 years ago
What's the can 54 and 24 go into
Serggg [28]
<span>1, 2, 3, 6, 9, 18, 27, & 54

</span>
4 0
3 years ago
A hungry college student just finished eating a large cheese and pepperoni pizza from​ Doug's Pizza Palace and felt there​ wasn'
maw [93]

Answer:  14

Step-by-step explanation:

  • Degrees of freedom is the number of values in the evaluation of a test statistic that are free to vary.

For t-statistic , the degree of freedom for a sample with sample size 'n' is given by :-

df=n-1

Given : Sample size : n-1

Then, the number of degrees of freedom the t-value will have :-

df=15-1=14

Hence, the t-value will have 14 degrees of freedom.

7 0
3 years ago
(-8)x...x(-8) times 20
Stella [2.4K]

Answer:

1280

Step-by-step explanation:

rewrite (-8) times (-8) as an equivalent addition problem which is 8 times 8 = 64

take 64 then times it by 20 which is 64 times 20 equals 1,280

Hope this helps:)

6 0
2 years ago
Other questions:
  • Which number sentence below matches this word problem?
    7·2 answers
  • At most, Charlie can spend $50 on bread and turkey for a picnic. He already bought a loaf of bread for $2 and will buy turkey th
    11·1 answer
  • PLEASE HELP ASAP WILL MARK BRAINLIEST<br><br> Solve the quadratic equation <br> 18x^2 -153x -172 =0
    14·1 answer
  • The following quadratic function. find the zeros
    13·1 answer
  • Use elimination to solve each system.
    14·1 answer
  • Write -9.42 as a mixed number.
    7·1 answer
  • 1/2x + 7 = x + 13 solution
    5·1 answer
  • Find the lettered angles.
    11·1 answer
  • PLEASE HURRY ITS TIMED 20 POINTS!!!What is the y-coordinate of the point shown in the graph?​
    12·2 answers
  • Sabrina has gone to work the last 50 days. On 28 of those days, she arrived before 7:30 A.M. On the rest of the days, she arrive
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!