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
m_a_m_a [10]
3 years ago
14

the graph of a direct variation equation passes through the point (28,98). write the direct variation equation and find the valu

e of y when x=24. be sure to write the direct variation constant as a reduced fraction.
Mathematics
1 answer:
Masja [62]3 years ago
6 0

Answer:

84

Step-by-step explanation:

Adapting the general form of the direct proportion equation to this situation, we obtain y = kx => 98 = 28k.  Thus, k = 98/28 = 3.5 or 3 1/2 or 7/2.

Thus, y = (7/2)x, and if x = 24, then y = (7/2)(24) = 84.

You might be interested in
How the position of the decimal point changes in a quotient as you divide by increasing powers 10
kirza4 [7]
The position of the decimal point changes in a quotient as you divide by increasing the powers 10.
6 0
3 years ago
The half-life of a radioactive material is about 2 years. How much of a 5.0 kg sample of this material will remain after 4 years
HACTEHA [7]

The remaining amount after 4 years is 1.25 kg

<h3>How to determine the remaining amount?</h3>

The half life of a function is represented as:

A = A_o * (1/2)^{t/h}

Where

Ao represents the initial amount

So, we have:

A = 5 * (1/2)^{t/2}

In 4 years, t = 4.

So, we have:

A = 5 * (1/2)^{4/2}

This gives

A = 5 * (1/2)^2

Evaluate the expression

A = 1.25

Hence, the remaining amount after 4 years is 1.25 kg

Read more about half life at:brainly.com/question/26148784

#SPJ1

8 0
2 years ago
Dividing polynomials simplify 10c+6÷2
blsea [12.9K]

Answer: 5c+3

Step-by-step explanation: divide regularly. Just keep the C after the 10. I'm not good at explain math sorry.

7 0
4 years ago
abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with
DanielleElmas [232]

Answer:

$1.918

Step-by-step explanation:

The volume of a right circular cone is obtained using the formular :

V = 1/3πr²h

From the question:

Diameter = 9 inches ; height = 10 inches

Radius = diameter /2 = 9/2 = 4.5 inches

V = 1/3*π*4.5²*10

V = 211.95 in³

Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³

Density of popcorn = 34 ounces / ft³

Density of popcorn CONTAINER = x

1 ft³ = 34 ounce

0.12265625 ft³ = x

Cross multiply

x = 34 * 0.12265625 ft³

x = 4.1703125 ounce

Hence, popcorn continer has a density of 4.1703125 ounce

If price per container = $8

The price per ounce = $8 / 4.1703125

= $1.918

Hence, price per ounce is $1.918

3 0
3 years ago
A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is
azamat
Check the picture below.

6 0
4 years ago
Other questions:
  • (4x+3y^2)dx+2xy*dy=0 by using integrating fector
    15·1 answer
  • Answer all the visible questions<br><br>(due tomorrow, plz hurry)
    14·1 answer
  • If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?
    11·2 answers
  • Need help with number 5 plz help!!
    5·1 answer
  • Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director
    9·2 answers
  • Find the area of the shaded region
    14·1 answer
  • 118° (10x+2)° solve for x and z
    14·1 answer
  • Please answer, will mark brainliest
    6·1 answer
  • Andy and Rachel each opened a savings account on the same day. Andy started by putting $400 in his account, and he will deposit
    6·1 answer
  • Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 28.45°. What is the measure of ∠P?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!