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
Karo-lina-s [1.5K]
3 years ago
13

The sum of two numbers is 28. One number is 4 less than the other. What are the two numbers?

Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

Answer:

12 and 16

Step-by-step explanation:

set up an equation:

since one number is 4 less than the other, let x represent it. for the other number, let x+4 represent it since it's 4 greater than x. set the equation equal to 28 because the sum of the two numbers is 28.

x+x+4=28

now, we solve the equation:

x+x+4=28

2x+4=28

2x=24

x=12.

Since x equals 12, to find the other number, which would be 4 greater than x, we would add:

12+4=16

So, the two numbers are 12 and 16.

You might be interested in
The population of a city has decreased by 35% since it was last measured. If the current population is 9100 , what was the previ
Alina [70]

The previous population was 14000.

Explanation

The population decreased by 35% since the last measurement. So the current population is less than the previous population.

current population=9100

previous population =x

current population is 35% less than the previous population x

9100=x*(100-35)/100\\9100=(x*65)/100\\x=(100*9100)/65=14000

The previous population was 14000.

4 0
3 years ago
What is the average rate of change of the function over the interval x = 0 to x = 8?
Hatshy [7]

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

8 0
3 years ago
Two complex numbers are given byz1= 3 +j4 andz2= 2 +j3. Determine in both polar andCartesian forms
Marat540 [252]

Answer:

Cartesian

z₁= 3 +4*j

z₂= 2 +3*j

Polar

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

Step-by-step explanation:

for the complex numbers z the cartesian form of is

z= x + y*j

then

1) z₁= 3 +4*j (cartesian form)

2) z₂= 2 +3*j (cartesian form)

the polar form is

z= r* e^jθ

where

r= √(x²+y²) → r₁ = √(3²+4²) = 5 ,  r₂ = √(2²+3²) = √13

and

θ = tan⁻¹ (y/x)  → θ₁  = tan⁻¹ (4/3)= 0.927 rad , θ₂  = tan⁻¹ (3/2)= 0.982 rad

then

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

3 0
4 years ago
when he saw 9 customers walk in. He already had 31 wings cooked, but started cooking 32 more. The customers bought all the wings
Licemer1 [7]

Answer:

7

Step-by-step explanation:

31 Wings (already cooked)

+ 32 Wings (started cooking)

= 63 Wings total

divided by 9 customers

= 7 per person

8 0
3 years ago
The set of x-values for relation is also called the?
Step2247 [10]
Is it Domain.....SJSU’s Jen DVD’s
8 0
3 years ago
Other questions:
  • What is another way to write the equation 7/8x+3/4= -6?
    8·2 answers
  • The purity of gold is listed in karats. If a necklace is 75% what karat is it
    9·1 answer
  • Joaquim earns a salary of $4,000 per month plus a 6% commision on all of his sales. He wants to earn more than 7,000 next month.
    8·1 answer
  • If f(x) = 5x(3exponent) - 2 and g(x) = 2x+1 , find (f+g) (x)
    5·1 answer
  • What are the square roots of 64144?
    12·2 answers
  • Irrelevant answers will be reported. DUE TODAY!!!
    8·1 answer
  • Sampson has a list of items that are on sale to pick up at the store. The sale items are the following:
    11·2 answers
  • How to do Pythagorean Theorem
    10·2 answers
  • 4,582 x 10<br> Written in place value form
    5·1 answer
  • 7. You forgot to study for your quiz today in Mr. Donald's class. It is a multiple-choice test with 6
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!