The sum of two numbers is twenty-four. The difference of the two numbers is four.

Answers

Answer 1

Answer:

[tex]x + y = 24[/tex]

[tex]x - y = 4[/tex]

Now, add these two equations.

You get,

[tex]2x = 28[/tex]

[tex]x = \frac{28}{2} [/tex]

[tex]x = 14[/tex]

Given,

[tex]x + y = 24[/tex]

[tex]14 + y = 24[/tex]

[tex]y = 24 - 14[/tex]

[tex]y = 10[/tex]

You can test this to the other equation as well.

[tex]x - y = 4[/tex]

[tex]14 - 10 = 4[/tex]

Hence, the two numbers are 14 and 10.


Related Questions

Translate into an algebraic equation, then solve the equation.
Peter paid $9.75 to go to the movies, which was $46.25 less than he paid to go to a concert. How much did he pay to go to the concert?

Answers

Answer:

$56

Step-by-step explanation:

Simply add the two values together, the algebraic equation would be:

9.75 + 46.25 = 56

So he paid $56 to go to the concert.

Hope this helps!

Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​

Answers

Answer:

y = 3x + 3

Step-by-step explanation

Values on the y-axis are increasing by 3, while values on the x axis are increasing by 1, so the slope is 3/1 or just 3

To find b, you the slope, 3, from the 6. You also subtract 1 from 1 in the x-collum. You do this to find the y-intercept, or when x=0.

The standard deviation of a population is 13.
What is the margin of error?

Answers

Given the value of the standard deviation of  population, if the critical value is 0.65, the Margin of error will be 0.65.

What is margin of error?

Margin of error simply shows how many percentage points a results will differ from the real population value.

It can be expressed as;

Margin of error = Critical value × Standard deviation

Given that;

Standard deviation S = 13Margin of error = ?

Margin of error = Critical value × Standard deviation

Lets take critical value to be 0.05

Hence,

Margin of error = 0.05 × 13

Margin of error = 0.65

Therefore, given the value of the standard deviation of  population, if the critical value is 0.65, the Margin of error will be 0.65.

Learn more about margin of error here: https://brainly.com/question/10501147

#SPJ2

Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.

Answers

Step-by-step explanation:

Evaluate:

-[-1⅘ ÷ 0.3(1.2)] - 5/6

⇛-[- 20/5 ÷ 0.3(1.2)]-5/6

⇛- [-20/5 ÷ 0.36] - 5/6

⇛-[-20/5 ÷ 36/100] - 5/6

Here I have changed in expression decimal point into fraction by putting 100 in Denominator.

⇛-[-20/5 × 100/36] - 5/6

⇛-[(-20 × 100)/(5×36)] - 5/6

⇛-[-2000/180]-5/6

Remember (-) × (-) = +.

⇛2000/180 - 5/6

Now, LCM of the denominator 6 and 180 is 180.

⇛(2000 - 150)/180

⇛1850/180

Now, reduce the fraction by extracting and cancaling out by 2.

⇛825/80

Again reduce the fraction by extracting and cancaling out by 5.

⇛165/16 Ans.

Hope this helps!!

Draw a Graph y=3/2x+2

Answers

The answer is in the graph.

Answer:in the picture

Step-by-step explanation:

please give me a brainliest answer

The graph of y=3+2x-x^2 is shown.
Please answer will mark BRAINELIST

Answers

Answer:

turning point: (1, 4)

Roots: (-1, 0), (3, 0)

Step-by-step explanation:

The turning point is the vertex of the parabola, which occurs at point (1, 4).   The roots are the areas where the graph crosses the x-axis, referred to as the x-intercepts. The graph crosses the x-axis at points (-1, 0) and (3, 0).

What is the slope-intercept form of -8x-2y=-24

Answers

Answer:

y=−4x+12

Step-by-step explanation:

y=−4x+12

Hope that helps

I'm thinking of 2 numbers. Both numbers have the same absolute value. What number must be true about the 2 numbers?

Answers

Answer: they have the same number in them for example -4 and 4

Step-by-step explanation:

What is the independent quantity?
A) not enough information
B) types of food I eat

Answers

I think A if not B hope this helps

where is the circumvented of a right isoceles triangle located

Answers

Answer:

The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (i.e., the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (i.e. meeting at one point).

Step-by-step explanation:

I hope that helps you and the explanation is in this answer too

solve pls brainliest

Answers

2 4/9 hope this is right

Answer:

2 4/9

Step-by-step explanation:

1. To change an improper fraction to a mixed number, divide the numerator by the denominator. Then, write down the quotient as the whole number and the remainder (left over amount) as the numerator. Remember to NOT change the denominator.

2. Given the information above:

22 ÷ 9 = 2 R 4 2 4/9

Therefore, 22/9 as a mixed number is 2 4/9.

please can someone answer all these

Answers

Answer:

what is it what math

Step-by-step explanation:

um what kind of math is this high school primary school

I don't get it please help and show me how to do it

Answers

Answer:

Step-by-step explanation:

You plug in the given values and compute s:

s = ut + 1/2 at^2

s  = 10*1/2 + 1/2*-2*(1/2)^2

= 5 + -1*1/4

= 4 3/4.

Randy needs to buy 5 pens and 3 colored pencils for his art activity. He has P 86.78 to spend. If the pens and pencils have the same price, how much is the pen and colored pencils per piece?


A. 9.50
B. 10.85
C. 8.75
D. 7.55

Betty's height was 119.2 cm, and Beth's height was 105.6 cm. Six months later, Betty gained 0.4 cm per
month, but Beth's height just remains the same. Find their new total height.

A. 227.2cm
B. 223.4cm
C. 231.8cm
D. 229.6cm​

Answers

The cost of pen and colored pencils per piece is =10.85

The new total length of both Betty and Beth is =227.2cm

Total number of pens Randy needs to buy = 5

Total number of colored pencils Randy needs to buy= 3

The both items are bought at the same prize = a

The cost of five pens is = 5× a = 5a

The cost of colored pencils is = 3 × a= 5a

The money needed to spend on the items= 86.78

To find the cost of each item which is a ,

5a + 3a = 86.78

(5+3) a= 86.78

8a = 86.78

therefore a = 86.78/8

= 10.85

Therefore the prize of each item is = 10.85. That is option B

Betty's height = 119.2 cm

Beth's height = 105.6cm ( which remained the same)

But Betty's height after 6 months = (6× 0.4) + 119.2

= 2.4 + 119.2

= 121.6 cm

Therefore, the total new height= 121.6 + 105.6

= 227.2cm

That is option A.

Evaluate: - 20 – 6 =
А 26
B. 14
С -14
D - 26​

Answers

Answer:

- 26

Step-by-step explanation:

- 20 - 6

= - 20 + ( - 6 )

= - 26

What is the midpoint of CD?

Answers

Answer:

The endpoints of the line segment CD are:

$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$

We find the midpoint using th

4/7 + 2/7 = ? can yall plzz help me simplify the awnser

Answers

Answer:

6/7 is the correct answr

solve the equation 3/4x-5=x
give your answers correct to 2 decimal places

Answers

Given :

3/4x - 5 = x

To find :-

The value of x .

Solution :-

Taking the given equation ,

3/4x - 5 = x x - 3/4x = -5 4x - 3x /4 = -5x/4 = -5x = -5*4x = -20

Evaluate the function for each input listed in the table, and graph the resulting ordered pairs on the coordinate plane.

x f(x) = 2x
0
1
2
3
4

Answers

Answer:

0

2

4

6

8

Step-by-step explanation:

f(x) = 2x

f(0) = 2 * 0 = 0

f(1) = 2 * 1 = 2

f(2) = 2 * 2 = 4

f(3) = 2 * 3 = 6

f(4) = 2 * 4 = 8

The complete table of the linear function f(x) = 2x for x = 0 to 4 is:

x     0   1    2   3  4  

f(x)  0   2   4   6   8

How to evaluate the function values?

The function is given as:

f(x) = 2x

When x = 0, we have:

f(0) =2(0) = 1

When x = 1, we have:

f(1) =2(1) = 2

When x = 2, we have:

f(2) =2(2) = 4

When x = 3, we have:

f(3) =2(3) = 6

When x = 4, we have:

f(4) =2(4) = 8

So, the complete table is:

x     0   1    2   3  4  

f(x)  0   2   4   6   8

Read more about linear functions at:

https://brainly.com/question/14323743


[tex]\frac{8}{22} + \frac{3}{22} [/tex]
SOLVE It
NO G.OOGLE ​

Answers

Answer:

[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]

Step-by-step explanation:

[tex]\sf\huge\longmapsto \frac{8}{22} + \frac{3}{22} [/tex]

[tex]\sf\huge\longmapsto \: \frac{8 + 3}{22} [/tex]

[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]

or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?

Answers

Answer:

adult tickets x=88  and senior tickets y=52

Step-by-step explanation:We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)  

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equation before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88  and senior tickets y=52

Good luck!!!

100 Points. Help solve. The sides are X, y, and 8. The reference angle is 60 degrees. Thanks

Answers

Step-by-step explanation:

y=8tan60=8√3

x=8/cos60 = 8 × 2 =16

The radius of a circle with centre O is 5 cm. The lengths of the chords AB and BC are 6 cm and 8 cm respectively. The midpoints of the chords are X and Y respectively. Find the perimeter of the quadrilateral OXBY. ​

Answers

Answer:

Step-by-step explanation:

AB=6 cm

BX=1/2 AB=1/2 ×6=3 cm

BC=8 cm

BY=1/2×BC=1/2×8=4 cm

perpendicular bisector of a chord always passes through the center.

so quadrilateral OXBY is a rectangle.

Perimeter=2(BX+BY)=2(3+4)=2×7=14 cm.

Which fractions are equivalent to 1012?

Answers

[tex]50/60[/tex]

That should be your answer

Answer:

Hello, There! I'm here to help!

Question

Which fractions are equivalent to 10/12?

Answer

According to The Question I'm guessing you mean 10/12

If so The Following Fractions are Equilvalent to 10/12

1. 20/24

2. 30/36

3. 40/48

5. 50/60

Step-by-step explanation:

To get Eqilvalent You Can Multiply Number  to the fractions to find out what's Equilvalent

Therefore, I hope this helps you!

What i want to know is.. why is that possible?
And, why we could add the two inequalities together down side there ??

Answers

Answer: Explanation below.

Step-by-step explanation:  A good question, since working with inequalities  and using the same operations as with "=" equations is a bit uncomfortable.  I don't have a mathematical proof for this operation, but approach it with a "Why not?" attitude.  If 9>6 and 130 > 30, why wouldn't 139>36?  There is nothing in the add operation that should upset the basic inequality.  I suggest https://www.storyofmathematics.com/inequalities-math for more information.

F(x)=-(-1)^2+ 2(-1)-1

Answers

Answer:

f(x)=-4

I recommend this math site that could help you with these kind of problems

M

A

T

H

W

A

Y

.

C

O

M

Step-by-step explanation:

Subtract. (2/9)−(−1/3+5/9)

Answers

Answer:

0

Step-by-step explanation:

the answer is in the above

the answer is 0

(BRAINLIEST to best answer) - Write a linear equation that goes through (1, 3) and (2, 6).

Answers

Answer:

y = 3x

Step-by-step explanation:

Using the given points find the slope and the y- intercept.

y = mx + b

The slope is:

m = (6 - 3)/(2 - 1) = 3/1 = 3

The y- intercept is:

3 = 3*1 + b3 = 3 + bb = 0

The line is:

y = 3x
(1,3)(2,6)

Slope

m=6-3/2-1m=3

Equation in point slope form

y-3=3(x-1)y-3=3x-3y=3x

Reniel is 13 years old. He is two years younger than his brother, Gelo. If Gelo is five times older than their sister, how old is their sister?​

Answers

sister is 3

13+2=15
15/5=3

correct answers Please!!

Answers

Answer:

114 miles

Step-by-step explanation:

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