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
Darina [25.2K]
3 years ago
14

The sum of two numbers is 12 and their difference is 20. What is the smaller number?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

16 and -4

Step-by-step explanation:

Let the 2 numbers be x and y with x > y

x+y=12

x-y=20

Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve

(x+x)+(-y+y)=(12+20)

2x=32

x=16

16+y=12

y=-4

16+-4=12

12=12

16--4=20

20=20

You might be interested in
What is the value of the expression shown below?
o-na [289]

Answer:

B

Step-by-step explanation:

1.6/0.2=8

10⁵-10²=10³

3 0
3 years ago
A bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. If the interest received
marin [14]

Answer: $31000 was loaned at 13%.

Step-by-step explanation:

Let x represent the amount loaned out at 13% interest rate.

Let y represent the amount loaned out at 5% interest rate.

The bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. It means that

x + y = 68000

The interest received made from $x in one year is

13/100 × x = 0.13x

The interest received made from $y in one year is

5/100 × x = 0.05y

If the interest received was $5880, it means that

0.13x + 0.05y = 5880- - - - - - - - - 1

Substituting x = 68000 - y into equation 1, it becomes

0.13(68000 - y) + 0.05y = 5880

8840 - 0.13y + 0.05y = 5880

- 0.13y + 0.05y = 5880 - 8840

- 0.08y = - 2960

y = - 2960/- 0.08

y = 37000

x = 68000 - y = 68000 - 37000

x = $31000

5 0
3 years ago
Please help!! ill give BRAINLIEST!!!
kenny6666 [7]

1. Isosceles, right.

2. Scalene, right.

3. Equilateral, acute.

4. Scalene, acute.

5. Isosceles, acute.

6. Scalene, obtuse.

7. Scalene, obtuse.

8. Scalene, obtuse.

9. Equilateral, acute.

10. Isosceles, obtuse.

3 0
3 years ago
Read 2 more answers
What are the next two numbers? 0.3 , 0.7 , 1.1 , 1.5 ,
Dmitry [639]
There is an increment of 0.4 in each term. Next will be
[1.5+0.4], [1.5+0.4+0.4]
1.9, 2.3
3 0
3 years ago
Read 2 more answers
The area of a circle with radius r is given by A = π r2. Find the area of a circle with radius 7 centimeters. Use 3.14 for π..
scZoUnD [109]

Step-by-step explanation:

Hey there!

Given;

Radius of a circle (r) = 7cm

Now;

We know that;

Area of circle (a) = π*(r^2)

= 3.14*(7^2)

= 3.14*49

= 153.86 cm^2

Therefore, the area of a circle is 153.86 cm^2.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
Other questions:
  • Karen is typing a report.she typed 3/8of the pages in the report in the morning and 2/5 of the pages in the afternoon.what fract
    9·1 answer
  • Find the “missing terms” in the polynomial problems. Answers will have multiple terms.
    14·1 answer
  • A blue die and a red die are thrown. Each die has six sides, labeled 1 through 6. The dice are fair, so each outcome is equally
    11·1 answer
  • See picture above and solve surface area
    9·1 answer
  • HELP PLS WUICK! GIVING OUT BRAINLIST
    6·1 answer
  • In which situation would it be appropriate to use square feet as a measurement?
    13·1 answer
  • Please help with this it’s 11 points
    10·2 answers
  • 6. Which statement about this figure is true?
    6·1 answer
  • Mr. McKitrick drove his car for 162.4 miles during 28 days. He drove the same number of miles each day. How many miles did Mr. M
    15·1 answer
  • PLEASEEE HELP! What is the simplest radical form of the expression? (8x^7y^4)^2/3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!