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
KATRIN_1 [288]
2 years ago
14

The sum of two numbers is 39. the second number is 6 more than half of the first number. let a represent the firstnumber and let

b represent the second number. what are the two numbers? use the table to answer the question.
Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
6 0

Answer:

  • a = 22
  • b = 17

Step-by-step explanation:

Givens

Let a = the first number

Let b = the second number

Equations

a + b = 39

b = 1/2 * a + 6

Put the second equation into the first one

a + 1/2 * a +   6 = 39                  Simplify the left.

(3/2)a + 6 = 39                           Subtract 6 from both sides

(3/2)a + 6 - 6 = 39 - 6                Combine

(3/2)a = 33                                  Multiply both sides by 2

3a = 33*2

3a = 66                                       Divide both sides by 3

3a/3 = 66/3

a = 22

b = 1/2 a + 6

a = 22

b = 1/2 * 22 + 6

b = 11 + 6

b = 17

Check

22 + 17 = 39

You might be interested in
Food allergies affect an estimated 7% of children under age 5 in the US. What is the probability that in a kindergarden class of
bezimeni [28]

Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

                                                                                                        =\frac{7}{100}

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = 1-\frac{7}{100}

                  ⇒ prob = \frac{93}{100}

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = (\frac{93}{100})^{12}

Therefore, Probability of atleast one of 12 student has food allergies

                  = 1-(\frac{93}{100})^{12}

                  = 0.581403702521

                  ≈ 0.58 ( approx)

                 

8 0
2 years ago
Read 2 more answers
Profit is the amount of money that remains after all expenses of a project have been paid. The year has just​ ended, and Ajax​ C
lilavasa [31]

Answer:

the Profit earned by the company is $280,489

Step-by-step explanation:

Total Cost of 5 projects awarded = $7,435,000

Cost of Project​ 1 = $1,245,000

Cost of Project​ 2 = $985,689

Cost of  Project​ 3 = $1,723,000

Cost of Project​ 4 = $2,567,054

Cost of Project​ 5 = $633,768

We need to find the profit earned by the company.

First we need to find Total cost spent on all 5 projects.

It can be found by adding cost spent on all projects.

Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5

Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768

Total cost spent on all 5 projects = $7,154,511

Now we can calculate profit earned using formula:

Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects

Profit earned = $7,435,000 - $7,154,511

Profit earned = $1,280,489

So, the Profit earned by the company is $280,489

6 0
3 years ago
Pleaseee! i really need help with 9-11.
mariarad [96]
I can’t help sorry i wish I could
5 0
3 years ago
The measure of an angle exceeds 3 times its supplement by 4. Find the measure of the angles.
Dafna11 [192]
X=3y+4, y=y
x+y=180, 3y+4+y=180, 4y+4=180
4y+4=180
4y=176
y=44
x=3(44)+4, x=132+4, x=136

(I am not a very good artist in this case:)

4 0
3 years ago
Luis has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the same size and shape. Luis will se
muminat
Add them all together: 36
Hockey card probability: 4/36
Simplify: 1/9
6 0
2 years ago
Other questions:
  • 1. a machine can print 300 T-shirts in 10 minutes how many T-shirts can the machine print in 1 minutes
    9·1 answer
  • What is the gfc of 18,54 and 72
    5·1 answer
  • Eliminate the parameter. x = 5t, y = t + 8
    5·2 answers
  • Can someone explain to me how to change a fraction to a decimal example: 4 over 5
    14·2 answers
  • I need help with #26!!
    5·1 answer
  • Which points would be considered outliers?
    7·1 answer
  • (3x^-2y)*(8xy^-3) --- SOLVE
    7·2 answers
  • Please help!! will mark brainliest
    6·1 answer
  • Harmony has 23 cups of pecans to make pecan pie. She needs 3 cups of pecans for each pie.
    11·1 answer
  • How do I get started on the second part
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!