The difference of two numbers is 3. Their sum is - 24. Find the numbers.

Answers

Answer 1

Answer:

y = -13.5

x = -10.5

Step-by-step explanation:

Hi there!

Let the two numbers be equal to x and y.

The difference of two numbers is 3 ⇒ x - y = 3

Their sum is - 24 ⇒ x + y = -24

Solve using elimination:

x - y = 3

x + y = -24

Add the two equations:

x + x - y + y = 3 - 24

2x = -21

x = -10.5

Solve for y:

-10.5 - y = 3

- y = 3 + 10.5

y = -13.5

I hope this helps!


Related Questions

11. In right triangle CAT, angle. If CA = 6 and CT = 8, find AT.

Answers

Answer:

AT=5.29 or 2√7

Step-by-step explanation:

Pythagorean  theory

a²+b²=c²

CAT means ∡ A is 90°

so CA is one of the leg (a) and AT the other leg (b)

CT is the (c)

6²+b²=8²

b²=64-36

b=√28

=5.29

What is the answer to this

Answers

what is the answer is 34 lekende eza

Answer:

Yes

Step-by-step explanation:

This is a function because  every value in set A has only 1 value in set B.

What is the value of x ?

Answers

Answer:

12

Step-by-step explanation:

short way 6✓2 . ✓2 it is the 45 degree formula

Answer:

12

Step-by-step explanation:

The figure is an equilateral righ triangle - or if you prefer, it's half a square.

As a triangle: x is the ipotenuse, pythagorean theorem

[tex]x^2 = (6\sqrt2)^2 + (6\sqrt2)^2\\x^2 = 72+72 = 144 \rightarrow x = 12[/tex]

As half a square: diagonal is [tex]\sqrt2[/tex] times the side

x= [tex](\sqrt2) (6\sqrt2) = 2\times6 = 12[/tex]

What is the suface area of a rectangular prism that measures 2cm × 5cm × 8cm?​

Answers

Answer: 132 hope that helps

Step-by-step explanation

Fastest way to do it A=2(wl+hl+hw)=2·(5·2+8·2+8·5)=132

Answer:

132 [tex]cm^{2}[/tex]

Step-by-step explanation:

A rectangular prism has 6 sides in total. We need to find the area of each side and add the areas together to find the total surface area.

Each side has an opposite that's parallel and on the opposite side of the prism, so there are 3 different sides whose areas are to be multiplied by 2.

First: let this side be SIDE A:  5 x 8 = 40 [tex]cm^{2}[/tex]

Second, let this side be SIDE B:  8 x 2 = 16 [tex]cm^{2}[/tex]

And thirdly, let this side be SIDE C:  2 x 5 = 10 [tex]cm^{2}[/tex]

These are the areas of 3 of the the sides of the prism. The other 3 are identical.

Now to find the Total SA, we add all of them together,

SA   =    2 x (SIDE A) + 2 x (SIDE B) + 2 x (SIDE C).

       =    (2 x 40) + (2 x 16) + (2 x 10)

       =    80 + 32 + 20

SA   =    132 [tex]cm^{2}[/tex]

Find the slope of the line given the following point on the line:

(-1,-9) and (-5,1) with

Answers

Answer:

The slope with these points can only by (-2.5) or (-8/3)

Step-by-step explanation:

#20 i
Find the coordinates of the midpoint of the line segment with the endpoints R(-5, -7) and
S(2, -4)

Answers

Answer:

First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.

Step-by-step explanation:

Which capital letters have one or more lines of symmetry?
A) X
B) Z
C) H
D) C

Answers

Answer:

h has 4 lines x has 2 z has 3 c has none

Step-by-step explanation:

What is 2 3/4 + 1 4/5 as a mixed number

Answers

2 3/4 + 1 4/5 = 4 11/20

About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering​ students, how many will probably need a refresher mathematics​ course?

I need a answer asap

Answers

i think it’s 485 sorry if i’m wrong

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x

Answers

The solution to the given expression is -15/4

Equations are expressions separated by an equal sign.

Given the expression 17 = -13 -8x

Add 13 to both sides

17 + 13 = -13 - 8x + 13

30  = -8x

Swap sides

-8x = 30

Divide both sides by -8

-8x/-8 = -30/8

x = -30/8

x = -15/4

Hence the solution to the given expression is -15/4

Learn more here: https://brainly.com/question/2159099

Do all direct proportional graphs need to start from the origin?

Answers

Answer:

Direct proportional graphs do not need to start from the origin.

Step-by-step explanation:

Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.

Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).  

As a proof, the attached screenshot shows the graph of three equations of direct variations.  The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.

Where is f(x)=g(x)? Justify your answer algebraically.

Answers

54x^2+208x-308=-2x-8
54x^2+208x-308+2x+8=0
54x^2+210x-300=0
9x^2+35x-50=0 (divided both sides by 6)
9x^2+45x-10x-50=0 (wrote the 35x as a difference)
9x(x+5)-10(x+5)=0
(9x-10)(x+5)=0
Now solve the equations:
9x-10=0
x=10/9
x+5=0
x=-5

Therefore, x has two solutions, 10/9 and -5!!



If 3x + 6 = 21, what does x + 2x plus 2 equal?

Answers

Answer:

x+2x+2=17

Step-by-step explanation:

I'm assuming that's what you're asking, so here is the answer explanation.

3x+6=21

3x=15

Hence, x=5

Apply x=5 to x+2x=2

5+10+2

=17

Please answer quick!

Answers

Answer:

that must be bad, bro I need help to

Answer:

A, B and D are equations

There are six cookies and four friends want to share them how much will it be

Answers

Answer:

1.5 each friend

Step-by-step explanation:

6 divided by 4 = 1.5

The product of 6 and the sum of a number and 3 is 60

Answers

Answer:

8(x+3) is the answer

Step-by-step explanation:

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The product of 6 and the sum of a number and 3 is 60.

Let the number be 'x'. Then the equation is written as,

6(x + 3) = 60

Simplify the equation, then the value of the variable 'x' will be calculated as,

6(x + 3) = 60

x + 3 = 60 / 6

x + 3 = 10

x = 10 - 3

x = 3

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

solve pls brainliest

Answers

Answer:

c

Step-by-step explanation:

A listing of observed values and the corresponding frequency of occurrence of each value is called a

Answers

Answer: frequency

Step-by-step explanation:

How to solve quadratic inequalities.

Answers

Answer:

Find the "=0" points

in between the "=0" points, are intervals that are either

greater than zero (>0), or

less than zero (<0)

then pick a test value to find out which it is (>0 or <0)

PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS

Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3

1- how much time will it take for elena to pay back all the money she borrowed

Answers

Answer:

no graph how am i supposed to answer

Step-by-step explanation:

DUDE PUT THE GRAPH WHERE IS iT

hoy guys bilangin nyo to pag mali sagot nyo report ko!!

Answers

Answer:

there is 114 in there

(ig?)

Approximate 23 by following the steps below.
V23 must lie between the whole numbers
and
You must answer all questions above in order to submit.

Answers

Answer:

4 and 5

Step-by-step explanation:

Well, 23 is less than 25, which is 5^2. Moreover, its more than 16, or 4^2

A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100

Answers

Answer:

2 students study neither french or Spanish

if angle a is 10 degrees and angle b is 35 degrees what is angle AEB?

Answers

Answer:

135

Step-by-step explanation:

sum of interior angles of a triangle is 180

so

180-35-10

135

i need help! ill give brainliest

Answers

Answer:

They are both correct

Step-by-step explanation:

Both options mean the same thing and will give the same answer

3. Write three ratios equal to 4/36

Answers

[tex]{\Huge{\boxed{\mathbb{QUESTION}}}[/tex]

Write three ratios equal to [tex]\frac{4}{36}[/tex]

[tex]{\huge{\boxed{\mathbb{EXPLANATION\:WITH\:REASONING\;}}}[/tex]

This ratio can be represented as [tex]4:36[/tex]

_______________________________

[tex]{\Huge{\boxed{\mathbb{THE\:RATIOS}}}[/tex]

_______________________________

[tex]1:9[/tex] [tex]2:18[/tex] [tex]3:27[/tex]

_______________________________

[tex]{\huge{\boxed{\mathbb{TERMS}}}[/tex]

Equivalent/Equal ratios - Definition of Equivalent Ratio A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.

35 is 25% of what percent​

Answers

Answer:

140

Step-by-step explanation:

35 ÷25%

35 ÷ 25/100

140

ok I am a little confused here but I think I may know what your asking.

What is 25% of 35? or you could be asking 35 is 25% of what number?

I'll answer both just in case.

What is 25% of 35?: 35 ÷ 4 = 8.75%

35 is 25% of what number?: 35 x 4 = 140

How do I solve this?

Answers

Answer:

Step-by-step explanation:

BRAINLIEST
I’ve posted this over 5 times please help me

Answers

Answer:

I don't know just guess sorry

heres the table and graph

Answers

Answer: distance 1min = 10in

In 1 minute the snail travels 10 inches  

In 2 minute the snail travels 20 inches

In 3 minute the snail travels 30 inches

In 4 minute the snail travels 40 inches

In 5 minute the snail travels 50 inches

y=10x

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