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
algol [13]
2 years ago
10

The sum of two numbers is 99 and the difference is 13. Use a system of two equations and two variables to solve and find the two

Mathematics
2 answers:
andriy [413]2 years ago
7 0

Answer:

56 and 43

Step-by-step explanation:

(x+13)+x = 99

2x+13 = 99

2x = 99-13

2x = 86

x = 86/2

x = 43

Smaller number = 43

Larger number is 56

Check

56-43 = 13

56+43 = 99

garik1379 [7]2 years ago
3 0

Answer:

The two numbers are 43 and 56.

Step-by-step explanation:

Represent the numbers by x and y.

Then, according to the given information,

x + y = 99 and x - y = 13

Rewrite these two equations in a column:

x + y = 99

x -  y = 13

Solve this system of linear equations through elimination by addition/subtraction:

x + y = 99

x -  y = 13

---------------

2x = 112, so that x = 56

Next, find y by substituting 56 for x in either of the two equations:

56 - y = 13

This reduces to 43 - y = 0, or y = 43

The two numbers are 43 and 56.

Check:  Is the difference between 56 and 43 equal to 13?  YES

Is the sum of the numbers 56 and 43 equal to 99?  YES

You might be interested in
Jeff mixed together 2 cups of grapefruit juice and 5 3/4 cups of lemon-lime soda to make punch. How many cups of punch did Jeff
Darina [25.2K]
Jeff made 7 cups . Hope I helped
6 0
3 years ago
Read 2 more answers
A) 7.7 ft<br> b) 13.4 ft<br> c) 10.3 ft<br> d) 12.3 ft
ELEN [110]

Answer:

D. 12.3 ft

Step-by-step explanation:

This problem requires the use of trigonometric ratios. This one specifically uses the cosine ratio as it provides the hypotenuse and is asking for the side that is adjacent to the angle.

cos(40°)=a/16

cos(40°)×16=a/16×16

cos(40°)×16=a

a=12.256 ft

The length of side a is D. 12.3 ft.

3 0
3 years ago
Given the line has to go through (0, 3) and is PARALLEL to y= -4x+6. Which is the correct equation of the line
ivanzaharov [21]

Answer:

y=-4x+3

Step-by-step explanation:

The slopes of 2 parallel lines will always be the same, so we plug in the ordered pair to find the y intercept

<u>Hope this helps :-)</u>

8 0
2 years ago
What is the sum of the measures of the exterior angles in a nonagon? explain
DedPeter [7]

The sum of the measures of all exterior angle in a polygon with n sides is always 360^{\circ}.

Nonagon is a polygon with 9 sides. If this nonagon is regular or equiangular, then all interior angle are congruent, and therefore all exterior angles are congruent. Then the measure of each exterior angle is \dfrac{360^{\circ}}{9} =40^{\circ}.

5 0
3 years ago
RSTUV - EABCD. Find AE.
larisa86 [58]

9514 1404 393

Answer:

  AE = 3

Step-by-step explanation:

First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.

From the table, we can write the proportion ...

  EA/RS = BC/TU . . . corresponding sides are proportional

  EA/6 = 4/8 . . . . . . . substitute given lengths

  EA = 6(4/8) = 3

The length of AE is 3 units.

3 0
2 years ago
Other questions:
  • A weather station in a major city in the Northwest kept data about the weather conditions over the past year. The probabilities
    13·2 answers
  • Lunch begins at 11:45 and ends at 12:10. How long is lunch time?
    7·1 answer
  • What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
    6·2 answers
  • 0.0985 rounded to the nearest tenth<br><br> Need fast answersss!!
    10·1 answer
  • Solve for W.<br>W/9 = g​
    11·1 answer
  • Can someone please help me with number 16 please and thanks ​
    6·1 answer
  • After 3 months 5004 deposited in a savings account with simple interest had earned 162.63 in interest. What was the interest rat
    12·1 answer
  • Numbers 1 and 2 please !
    12·1 answer
  • How many pizzas can Naylah make with 1/5 of a block of cheese
    11·1 answer
  • Solve for a.<br> -4a – 2a – 7 = 11<br> a =<br> [?]<br> Not a fraction answer
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!