The difference between two num-
bers is 24. What are the numbers
if their sum is 78?
(Please help me!)

Answers

Answer 1

Answer:

51 and  -27

Step-by-step explanation:

The sum of two numbers is 24 and their difference is 78. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 24. In other words, x plus y equals 24 and can be written as equation A:

x + y = 24

The difference between x and y is 78. In other words, x minus y equals 78 and can be written as equation B:

x - y = 78

Now solve equation B for x to get the revised equation B:

x - y = 78

x = 78 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 24

78 + y + y = 24

78 + 2y = 24

2y = -54

y = -27

Now we know y is -27. Which means that we can substitute y for -27 in equation A and solve for x:

x + y = 24

x + -27 = 24

X = 51

Summary: The sum of two numbers is 24 and their difference is 78. What are the two numbers? Answer: 51 and -27 as proven here:

Sum: 51 + -27 = 24

Difference: 51 - -27 = 78

Answer 2

Answer:

The numbers are 27 and 51

Explanation

x - y = 24

x + y = 78

Add together the equations

2x = 102

x = 51

Put into equation

51 - y = 24

27 = y


Related Questions

In the school competition jenny bounced a ball 150 times in 3 minutes. Express her bouncing rate in its simplest form

Answers

Answer:

Jenny bounced the ball 150 times She did that over an interval of 3 minutes To express rate of change over an interval you do [tex] \frac{change \: in \: motion}{change \: in \: time} [/tex]So you get [tex] \frac{150}{30} = 50 \: bounces \: per \: minute[/tex]Please rate positively and give brainlist

3^38 - 3^37 =2/3^x
answer

Answers

Step-by-step explanation:

3³⁸ - 3³⁷

= 3³⁷(3 - 1)

= 2 * 3³⁷

= 2 / [3^(-37)].

Hence x = -37.

Can someone please help with this questions?
If I fail this test I will not pass this class
Please help as fast as possible!!
Please

Answers

Answer:

5a. ΔGKM ~ ΔSPM by SAS

b. ΔABC is not similar to ΔDEF

6. The missing side is 2[tex]\sqrt{11}[/tex]

Step-by-step explanation:

5a. Yes, the triangles are similar.

<KMG ≅ <PMS (vertically opposite angles)

      ΔGKM ~ ΔSPM by SAS

Ratio: GM:SM OR KM:PM

             3:6    OR  2:4

             1:2     OR  1:2

Ratio: 1:2

b. No, the triangles are not similar

   ΔABC is not similar to ΔDEF

Ratio: AC:DF OR AB:DE

         4:6       OR  2:4.5

         1:1.5      ≠     1:2.25

   Ratio: not similar

6. let the missing side of the triangle be represented by x. Since the triangle is a right angled triangle, then applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/12/^{2}[/tex] = [tex]x^{2}[/tex] + [tex]/10/^{2}[/tex]

144 = [tex]x^{2}[/tex] + 100

[tex]x^{2}[/tex] = 144 - 100

   = 44

x = [tex]\sqrt{44}[/tex]

  = [tex]\sqrt{4 *11}[/tex]

  = 2[tex]\sqrt{11}[/tex]

x = 2[tex]\sqrt{11}[/tex]

The missing side is 2[tex]\sqrt{11}[/tex].

 

look at photo and tell me the answer​

Answers

Answer:

Step-by-step explanation:

El señor de las moscas trataba de dos personas que estaban enamoradas y no podían superarse y creo que eres estúpido

def

b

Answer:

STOP MAKIN FUNNY THINGS

Step-by-step explanation:

If there are 328 million people and 228 thousand become infected each day, how long will it take for all to be infected?

Answers

Answer:

1438.6 days

Step-by-step explanation:

We are told in the above question that:

228,000 people get infected per day. Hence, how long it would take for 328,000,000 people to be infected is calculated as:

228,000 people = 1 day

328,000,000 people = x days

Cross Multiply

228,000 people × x days = 328,000,000 people × 1 day

x days = 328,000,000 people × 1 day/228,000 people

x days = 1438.5964912 days

Approximately = 1438.6 days

Therefore, it would take 1438.6 days for 328,000,000 people to be infected.

Slope = -2/3, y-intercept = 1
Write the slope-intercept form of the equation of each line given the slope and y-intercept ?


Answers

Answer:

The answer is y=-2/3x+1

Step-by-step explanation:

Remember the slope intercept is y=mx+b

Format: y = mx + b
m = slope, b = y intercept
Plug those in
Answer: y = -2/3x + 1

The change in the value of stock is represented by the rational number -5.90. Describe, in words, what this means.

Answers

Answer:

DEFINITION of Value Change

Value change is an adjustment made to a stock's price to reflect the number of outstanding stock shares issued and currently held by investors. A value change allows the group of stocks to be equally weighted and, therefore, more easily evaluated. Since the number of shares held by investors changes daily, this number can be updated daily to reflect the changes.

I am just giving you a definition but i dont know if this is going to help you

Step-by-step explanation:

Evaluate the expression shown below and Write your answer as a fraction in simplest form
3/4 -12/5

Answers

Answer:

-33/20

Step-by-step explanation:

JUST SPREADING THE MESSAGE!! Just so everyone knows HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS, someone told me to do this

A tree grows at a rate of 4 feet per year. Which graph has a slope that best represents this rate?

Answers

Answer:

you got the answer in the comment, i just want more points lol sorry

Step-by-step explanation:

Insert < or > in the area between the integers to make the statement true.
73
- 22
W
о O 73> - 22
0 <
73 < -22

Answers

Answer:

lol > bc a non negative number is more

The blue figure is a translation of the black image. Write a rule to describe the translation.

Answers

Answer:

The point at the Origin was moved down 4 and right 2

Step-by-step explanation:

If f(x)= x2+2x-10, what id f(-2)

Answers

The answer is -18. Hope this helps.

g(x)= 3x-5
h(x)=2/2x+3
write h(g(x)) as an expression terms of x

Answers

Answer: h(g(x))= 2/6x-7

Step-by-step explanation:

1.h(g(x))= 2/(g(x))+3

2.g(x)= 3x-5

h(g(x))= 2/2(3x-5)+3

=2/6x-10+3

=2/6x-7

A food truck is selling 2 burritos for $5.
Which of the following equations models the relationship between burritos and dollars?

Answers

Given that,

A food truck is selling 2 burritos for $5.

Solution,

We need to find the relationship between burritos and dollars.

2 burritos = $5

To find the value of 1 burrito. Divide 5 by 2 as follows :

[tex]1\ \text{burrito}=$\dfrac{5}{2}\\\\1\ \text{burrito}=$2.5[/tex]

Hence, the relation between burritos and dollars is " [tex]1\ \text{burrito}=$2.5[/tex]"

Hey I neee help with this I don’t understand for number 1 it’s w=? For number 2 it’s w=75 and for number 3 it’s w=26. Pls I need help it’s due in 10 minutes I’ll mark brainliest possibly.

Answers

Answer:

1. W = 50 ft

2. L = 110 m

3. L = 61 m

Step-by-step explanation:

Area of a Rectangle

Given a rectangle of width W and length L, its area is calculated by the formula:

A = W.L

We are given three rectangle-shaped figures and are required to find different measures as explained below.

1. Length L=94 ft, Area = 4,700 square ft

We'll find the width by solving for W:

[tex]\displaystyle W = \frac{A}{L}[/tex]

[tex]\displaystyle W = \frac{4,700}{94}[/tex]

W = 50 ft

2. A=8,250 square m, W=75 m

We'll find the length by solving for L:

[tex]\displaystyle L = \frac{A}{W}[/tex]

[tex]\displaystyle L = \frac{8,250}{75}[/tex]

L = 110 m

3. A=1,586 square m, W=26 m

We'll find the length by solving for L:

[tex]\displaystyle L = \frac{A}{W}[/tex]

[tex]\displaystyle L = \frac{1,586}{26}[/tex]

L = 61 m

the Millers drove 105 miles on 4 gallons of gas. at this rate, how many miles can they drive on 6 gallons of gas.

Answers

Answer:

157.5 miles with 6 gallons

Step-by-step explanation:

105miles / 4gallons = 26.25miles per gallon

26.25miles per gallon * 6miles = 157.5 miles

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I’m stuck I need the answer

Answers

This is the answer for your test hope it helps

Vanessa earns $6.00 per hour for watching the
neighbor's dog. How many hours does she have
to work to earn $132?

Answers

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I'm stuck on this question:

What's 100 divided by 2?

Answers

Answer:

50

Step-by-step explanation:

100 into 2 parts is 50

Please help me fill in the blank:(
for brainiest

Answers

-2.84 what grade are you in?

Please help me. I do not understand this question.

Answers

Answer:

The true statement is h < k ⇒ (3)

Step-by-step explanation:

∵ The equation of the graph is y = [tex]\sqrt{x+h}[/tex] + k

(-h, k) are the coordinates of its vertex point

∵ -h is the x-coordinate of the vertex point

∵ x-coordinate of the vertex point is -3

∴ -h = -3

→ Divide both sides by -1

∴ h = 3

∵ k is the y-coordinate of the vertex point

∵ y-coordinate of the vertex point is 4

k = 4

∵ 3 < 4

→ That means h is smaller than k

h < k

The true statement is h < k

54.6g of sugar is needed to make 7 cakes. How much sugar is needed for 12 cakes?
|

Answers

Answer:

153.8 grams of sugar is needed

Step-by-step explanation:

Answer:

93.6g

Step-by-step explanation:

54.6g/7=7.8g

7.8*12=93.6

Two S-year old girls, Alyse and Jocelyn, have been training to run a mile racc Alyse's I mile A is approximately Normally distributed with a mean of 13.5 minutes and a standard deviation of 2.5 minutes. Jocelyn's I mile time approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 sile race on a randomly selected day?

Answers

Answer:

Step-by-step explanation:

Please may someone help me on the following question -Thank you!

4a + x = 3b
Make x the subject of the formula

Answers

Answer:

x= 3b- 4a, a€R, b€R

Step-by-step explanation:

1. Move variable to the right-hand side and change it's sign.

2. Write the solution X in parametric form.

2.1 = t + 4.4 / 3 what does t equal

Answers

Answer:

0.63

Step-by-step explanation:

0.63

The area of a rectangular garden is 6862 m².
If the width of the garden is 73 m, what is its length?

Answers

The length of the rectangle would be 94m.

please help i’ll do anything and give the brain thing :((

Answers

Answer:

add me on snap kharding1805 and I will add you back

the equation y=3x+2 ?

Answers

the answer to the equation is x= -2/3

i need help i don’t understand

Answers

Find the value by moving the things up top

What is JK? please explain/show your work on how you got your answer​

Answers

Answer:

JK = 20 m

Step-by-step explanation:

A line segment that connects two midpoints of the sides of a triangle is called a midsegment.A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

Point J is midpoint of side HI as HJ = JI

Point K is midpoint of side GI as GK = KI

JK is midsegment as connects the midpoints of the sides

JK = 1/2HG as per property of midsegment

6x - 4 = 10x/26x - 4 = 5x6x - 5x = 4x = 4

JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m

Answer:

[tex]JK=20m[/tex]

Step-by-step explanation:

It is given in the diagram that IJ = JH and IK = KG. Therefore, by the definition of a midpoint, we know that J and K are the midpoints of segments IH and IG respectively. Then, it can be concluded that JK is a midsegment by the definition of a midsegment. The Midsegment Theorem states that a midsegment connecting the midpoints of two sides of a triangle is parallel and half of the length of the third side. Thus, we know that JK is half of HG. Now, we can set up the following equation to solve for x:

[tex]JK = \frac{1}{2}HG\\6x-4=\frac{1}{2}(10x)[/tex]

Solving for x, we get:

[tex]6x-4=\frac{1}{2}(10x)\\6x-4=5x\\x-4=0\\x=4[/tex]

Therefore, [tex]JK = 6x - 4 = 6(4) - 4=24-4=20 m[/tex].

Hope this helps!

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