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
Iteru [2.4K]
3 years ago
6

The sum of two numbers is 59 and the difference is 15 . what are the numbers?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0
Write a system of equation based on the number
For an instance, the two numbers are a and b.
"The sum of two numbers is 59" can be written as follows.
⇒ a + b = 59  <em>(first equation)
</em>"The difference is 15" can be written as follows.
⇒ a - b = 15  <em>(second equation)</em>

Solve the system of equation by elimination/substitution method.
First, eliminate b to find the value of a.
a + b = 59
a -  b = 15
--------------- + (add)
2a     = 74
  a     = 74/2
  a     = 37

Second, substitute 37 as a in one of the equations
a + b = 59
37 + b = 59
b = 59 - 37
b = 22

The numbers are 37 and 22
You might be interested in
PLS ANSWER WILL GIVE 10 PTS
Whitepunk [10]
<h3>Answer:  b) 18 cm </h3>

========================================================

Work Shown:

Since the parallelogram has perpendicular diagonals, this means that we're dealing with a rhombus. A rhombus has all four sides equal to one another.

One diagonal is bisected, or cut in half, to form the smaller pieces of length (150/x) + 10 and x-10. Set these two expressions equal to each other and solve for x

(150/x) + 10 = x-10

1500/x = x-10-10

1500/x = x-20

1500 = x(x-20)

1500 = x^2-20x

0 = x^2-20x-1500

x^2-20x-1500 = 0

(x-50)(x+30) = 0

x-50 = 0 or x+30 = 0

x = 50 or x = -30

We'll ignore the negative x value as it leads to a negative length which doesn't make sense.

If x = 50, then  

  • x-10 = 50-10 = 40
  • (150/x)+10 = (150/50)+10 = 30+10 = 40

Each piece of this diagonal is 40 cm long.

The two smaller pieces combine to 40+40 = 80, which is the length of one of the diagonals. If this was the shorter diagonal, then 80 would be listed as part of the answer choices. However, 80 is not one of the answers.

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

Note how the two diagonals of the rhombus cut the figure into four right triangles.

Each right triangle has one known leg to be 40 and an unknown leg of y. The hypotenuse is 164/4 = 41 since we divide the perimeter by the four equal sides of the rhombus.

We'll use the pythagorean theorem to find the value of y

a^2 + b^2 = c^2

40^2 + y^2 = 41^2

1600 + y^2 = 1681

y^2 = 1681-1600

y^2 = 81

y = sqrt(81)

y = 9

This represents half of the other diagonal, so the full length of this other diagonal is 2*9 = 18 cm.

7 0
3 years ago
Read 2 more answers
PLEASE HELP its math
xxMikexx [17]

Answer:

y = 3x + 6

Step-by-step explanation:

We are given a line.

We know this line is parallel to the line y=3x+2, and passes through (1, 9).
We want find the equation of this line.

Parallel lines have the same slopes.

So, let's find the slope of y=3x+2.

The line is written the format y=mx+b, where m is the slope and b is the value of y at the y intercept.

As 3 is in the place of where m (the slope) is, the slope of the line is 3.

It is also the slope of the line parallel to it.

We should write the equation of the line parallel y=3x+2 in slope-intercept form as well, however, before we do that, we can write the line in point-slope form, and then convert it to slope-intercept form.

Point-slope form is given as y-y_1=m(x-x_1), where m is the slope and (x_1,y_1) is a point.

We can substitute 3 as m in the formula, as we know that is the slope of the line

y-y_1=3(x-x_1)

Recall that we were given the point (1, 9), which also belongs to (it passes through) the line.

Therefore, we can use its values in the formula.

Substitute 1 as x_1 and 9 as y_1.

y - 9 = 3(x-1)

We can now convert the equation into slope intercept form.

Notice how y is by itself in slope-intercept form; this means we'll need to solve the equation for y.

Start by distributing 3 to both x and -1.

y - 9 = 3x - 3

Now add 9 to both sides.

<u>y = 3x + 6 </u>

5 0
1 year ago
I need help with question 13<br>pleaseee im struggling
Sergio039 [100]

You could create a equation such below:

y= 50x+20

Next, put 12 in both y=50x+20 and y=15x+80

Then, y=50x+20=50 · 12+ 20=600+20= 620

           y=15x+80=15 · 12+ 80=180+80= 260

 

Compare these two, it's clearly that the second one is cheaper


Answer: The camera in the second store is cheaper.

4 0
3 years ago
Some cones are mathematically similar. Two of the cones have radii in the ratio 2:3. Write down the ratio of their masses.
xenn [34]

Answer:

8:27.

Step-by-step explanation:

The ratio of their masses will be equal to the ratio of their volumes, assuming they are both of the same uniform density.

So it will be 2^3:3^3

= 8:27.

7 0
2 years ago
Given:<br><br> ∠D and ∠B are right angles<br><br> DC || AB<br><br><br> Prove:<br><br> △ADC ≅ △CBA
raketka [301]
Since angle CDA + angle ABC = 180 then DC is Parallel to AB by transversal of parallel line theorem c-pattern for co-interior angles. to help visualize it draw it
4 0
3 years ago
Other questions:
  • State the slope and y-intercept
    7·1 answer
  • I attached a picture of math question below
    13·1 answer
  • The number of males in the United States is measured in the thousands.<br> True or false?
    8·1 answer
  • What is tan 11pie/6 ?
    8·1 answer
  • Consider f(x)=4-e^x
    13·1 answer
  • The LCM of 1 + sin a and 1 - sin is​
    8·1 answer
  • Which statement is true about lines a and b?
    11·1 answer
  • When ø=5pi/3, what are the reference angle and the sign values for sine, cosine, and tangent? (2
    10·2 answers
  • If the length of FH is 18 units, what is the value of x?<br> 3<br> 4<br> 6<br> 12
    8·1 answer
  • One number is 3 less than a second number. Twice the second number is 9 more than 5 times the first
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!