The sum of two numbers is 62 . the larger number is 22 more than the smaller number. what are the numbers?

Answers

Answer 1
Let the smaller number be x. 

larger number: 22+x 

x+(x+22)=62 
2x+22=62 
2x=62-22
2x=40 
x=40/2 
x=20 

The smaller number is 20 and the bigger number is 22+20= 42

Hope I helped :)
Answer 2
the larger number is 42 and the smaller is 20

Related Questions

The weight of water is 62 1/2 lb per cubic foot water that weighs 300 lb will fill how many cubic feet

Answers

The number of cubic feet will be 4.8

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given ,

The weight of water is 62 1/2 lb per cubic

Now,

Since, foot water that weighs = 300 lb

Hence, The cubic feet = 300/62.5

                                  = 4.8

Thus, The number of cubic feet will be 4.8

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Final answer:

300 pounds of water will fill 4.8 cubic feet of space, calculated by dividing the total weight by the weight per cubic foot (300 lb / 62.5 lb/ft³).

Explanation:

The student is asking how many cubic feet of space would be filled by 300 pounds of water, given that water weighs 62 1/2 pounds per cubic foot. To find the answer, we divide the total weight of the water by the weight of water per cubic foot. In this case, we divide 300 lb by 62.5 lb/ft3 (since 62 1/2 pounds is the same as 62.5 pounds).

The calculation will be as follows:

Divide 300 lb by 62.5 lb/ft3.

300 lb / 62.5 lb/ft3 = 4.8 ft3.

Therefore, 300 pounds of water will fill 4.8 cubic feet of space.

What is it range of this data? {3,3,0,8,7,10,2,6,12,0}

Answers

The range of the area above is 12. I hope I helped! How you do this is you take the highest value (in this case 12) and subtract it by the smallest number (0) So you get 12!
The right range is 12

15 points and brainliest -

E’F’G is the image of EFG under a dilation through point C.

What scale factor was used in the dilation?

A. -2
B. - 1/2
C. 1/2
D. 2

Answers

Your answer would be C. 1/2
Since the side FG (8cm) is equivalent to F'G' (4cm), 8 was multiplied by 1/2 to get the corresponding side value

Answer:

For anyone else looking for the answer, the answer is actually, B. -1/2 I just did this test and got it right.

If KL = 2x, LM = 5x, and KM = 7, what is LM?

Answers

KL + LM = KM

2x + 5x = 7
7x = 7
x = 7/7
x = 1

KL = 2x......2(1) = 2
LM = 5x.....5(1) = 5 <====
2x + 5x = 7 

7x = 7 
/7     /7

x = 1 

KL = 2 
LM= 5 

How do I find the value of x?

Answers

x=9 is the correct answer

What is 30 divided by 1/2 ? A) 15 B) 20 C) 40 D) 60

Answers

A 15 hope this helps you out

301/1/2=(30/1)(2/1)=(30)(2)(1)(1)=60

Solve for the following equation 3+6z=13+6z
A.z=-5/6
B.z=2 2/3
C.infinitely many solutions
D.no solution

Answers

3 + 6z = 13 + 6z
6z - 6z = 13 - 3
0 = 10 (incorrect)
this equation has no solution

Answer:

D. No solution

Step-by-step explanation:

Since, if an equation after solving gives a true statement,

Then the equation has infinitely many solution,

While, after solving the equation,

We get, a false statement,

Then the equation has no solution,

Given equation,

3 + 6z = 13 + 6z

⇒ 3 = 13

Which is a FALSE statement,

Hence, the given equation has no solution.

OPTION D is correct.

MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1. intersection is all the numbers both sets have in common

 so 3, ,7 , 13


2. union is all the numbers from both sets so 1, 5, 8, 12, 17

Samuel pays $20 for a shirt that is on sale. If he saved $5, what is the percent of the discount?

Answers

Hi Kyliebreland!
So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.
Hope this helps!

Answer:

Step-by-step explanation:

So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.

Please help!

Simplify (3/10)(-5/9).
A.) 1/6
B.) -1/6
C.) 77/90

Answers

The correct answer would be B, -1/6

BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The “k” in this scenario represents the *y-intercept* of the function. g(x) is taking the graph of f(x) and shifting it up on the y axis by certain amount. By how much? Answer that, and you’ll have your k value.
the letter "k" in the g(x) function represents the y-incercept. We know that "k" is the y-incercept because the function g(x) = f(x) +k. which models the y=mx+b slope-intercept format. so, in this case k=2 because that is where g(x) intercepts the y-axis. so, the answer is k=2. Hope this helped!

A fighter plane, f, is told to intercept plane x which is 200 miles in front of f flying directly away from f at 500 mph. plane f is told it must intercept x in 6 minutes. how fast should f fly?

Answers

Final answer:

To intercept plane x, which is 200 miles in front and flying away at 500 mph, in 6 minutes, the fighter plane f should fly at 2500 mph.

Explanation:

The question deals with the calculation of how fast the fighter plane (plane f) should fly in order to intercept plane x in the given time. This is essentially a problem in the physics concept of relative motion. Plane x is 200 miles away from f and is flying away at a speed of 500 mph. The fighter plane f has 6 minutes (or 0.1 hours) to intercept, which is the time needed to cover the distance between the planes. Recall the formula of velocity, v = d/t. Here, the distance d = 200 miles (distance between the planes), and t = 0.1 hours. Substituting these into the formula, we can calculate the necessary speed for plane f.

Additionally, since plane x is moving away from f at 500 mph, plane f must cover an additional 50 miles (500 mph * 0.1 hours) to intercept x. Therefore, the total distance f must cover is 250 miles (200 miles + 50 miles).

Substituting this into the formula of velocity, we find that f should fly at 2500 mph (250 miles / 0.1 hours) to intercept plane x in the allotted time.

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Final answer:

The fighter plane 'f' needs to fly at a speed of 2500 mph to intercept the escaping plane 'x' that is flying away at a speed of 500 mph and is currently 200 miles away.

Explanation:

To solve this problem, we need to work with the concept of relative speed in the context of motion. Plane 'x' travels 500 miles per hour and the fighter plane 'f' needs to intercept Plane x in 6 minutes, which is 1/10th of an hour.

Since Plane x is 200 miles away, in the 1/10th of an hour, Plane x would have travelled an extra 50 miles (500 mph * 1/10), making the total distance Plane f needs to cover 250 miles (200 miles + 50 miles). To cover 250 miles in 1/10th of an hour or 6 minutes, Plane f needs to fly at a speed of 2500 mph (250 miles / 1/10 hr).

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3. Which word choice supports the idea that the author has a positive point of view of rollerskating?
A.been around since the early 1700s
B.loved winter ice-skating
C.hard to roll
D.more popular

Answers

THE ANSWER WOULD BE B OR D

Answer The answer is B

Step-by-step explanation:


Write an equation to represent: four-fifths of z added to six equals eight

A) 4 5 z + 6 = 8

B) 4 5 + 6z = 8

C) 4 5 (6)(z) = 8

D) 4 5 (6) + z = 8

Answers

A would be the answer

What is the range? Thanks

Answers

The range would be {3, 5, 7} because the range, is basically "y". It's all the possible "y" values in a function.

David wants to install a fence fence around his garden. The garden is rectangular and has an area of 240 square feet. One side of the garden is along the street and is 12 feet long. For this side of the garden, David will use fencing that costs 18$ per linear foot. For the other three sides of the garden, David will use fencing that costs 15$ per linear foot. What is the total cost of fencing?

Answers

find the length of each side 240÷12=20    20 is the other length. 
12•$18=$216   for the street side and 20+20+12=52  is the total length of the other sides 52•$15=$780  is the total cost of other 3 sides  780+216=996
the total cost is $996. Hope this helped

The total cost of fencing is $996.

Cost calculation

Given that David wants to install a fence fence around his garden, and the garden is rectangular and has an area of 240 square feet, and one side of the garden is along the street and is 12 feet long, and for this side of the garden , David will use fencing that costs 18$ per linear foot, while for the other three sides of the garden, David will use fencing that costs 15$ per linear foot, to determine what is the total cost of fencing the following calculation must be made :

12X = 240240 / 12 = X20 = X12 x 18 + 12 x 15 + 20 x 15 + 20 x 15 = Cost216 + 180 + 300 + 300 = Cost996 = Cost

Therefore, the total cost of fencing is $996.

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What is 300 in scientific notation

Answers

Hey there

The answer would most likely be: [tex]3 [/tex] × [tex]10^2[/tex]

Because, [tex]10^2 = 100 [/tex] and the problem becomes: [tex]3 [/tex] × [tex]100 [/tex] ← that gives you [tex]300 [/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

Use ∆ABC to find the value of sin B.

Answers

Remember that [tex]\sin (B)=\frac{opposite}{hypotenuse}[/tex]. Then you just need to plug in the side length opposite to B and the hypotenuse of the triangle and you'll get your solution!

Answer:   24/25

 

Step-by-step explanation:  sinB= perpendicular/hypotenuse

                                                      =  side opposite to angle B/hypotenuse

                                                      = AC/AB

                                                      = 24/25

Round each mixed number to the nearest whole number 7 2/14 kuanto

Answers

The answer is 7 because 2/14 is closer to zero and zero plus 7 equals 7.

write 171 miles in 3 hours as a unit rate

Answers

57 mph

You basically divide 171 by 3.
171/ 3= 57 miles/hour

Because since you want to write it as how many miles are traveled in one hour- you would have to divide by 3

So 171/3= 57 miles per
3/3= 1 hour

Thirty-five percent of 160 is ?

Answers

Thirty-five percent of 160 is 56

Answer:

56.

Step-by-step explanation:

We are asked to find 35% of 160.

To 35% of 160, we will divide 35 by 100 and multiply the result by 160 as:

[tex]35\%\text{ of 160}=\frac{35}{100}\times 160[/tex]

[tex]35\%\text{ of 160}=0.35\times 160[/tex]

[tex]35\%\text{ of 160}=56[/tex]

Therefore, 56 is 35% of 160.

Which equation represents a line that passes through (4, 1/3 ) and has a slope of 3/4?

y – 3/4 = 1/3(x – 4)
y – 1/3 = 3/4(x – 4)
y – 1/3 = 4(x – 3/4 )
y – 4 = 3/4(x – 3/4 )

Answers

y - y1 = m(x - x1)
slope(m) = 3/4
(4,1/3)....x1 = 4 and y1 = 1/3
now we sub
y - 1/3 = 3/4(x - 4) <===

Answer:

The correct option is 2.

Step-by-step explanation:

The point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is slope.

The line passes through (4, 1/3 ) and has a slope of 3/4.

The equation of line is

[tex]y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]

Therefore the correct option is 2.

If 5 rubber stamps cost $9.70 which equation would help determine the cost of 11 rubber stamps

Answers

Final answer:

To find the cost of 11 rubber stamps, we calculate the unit price by dividing the given cost of 5 stamps by 5 and then multiply the unit price by 11.

Explanation:

To determine the cost of 11 rubber stamps when 5 stamps cost $9.70, first we need to find the cost of one rubber stamp. We divide the total cost by the number of stamps to find the unit price, which is $9.70 ÷ 5 = $1.94 per stamp. Using this unit price, we can then multiply by the desired number of stamps to find the total cost for 11 stamps. The equation to determine the cost of 11 rubber stamps is:

Cost of 11 stamps = 11 × $1.94

By calculating this, we find that 11 stamps will cost $21.34.

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What is the least common multiple of 12, 30 and 84?

Answers

Hi, the LCM (least common multiple) is 420.

Hoped I helped! 

Hey Is anyone really good at math? I need help with this one.

What is the average of 96, 49 , 68 and 75?

Answers

The mean is the average of the numbers. First you add all the numbers up, then divide the sum of the numbers by the amount of numbers there are. 

1. 96+49+68+75= 288

2. 288/4= 72

72 is the average of the numbers. Hoped that helped.

What is the value of the discriminant in the equation shown below? x^2-4x+10=0?

Answers

I think the discriminant would be -24

Answer:

The discriminant would be -24.

Step-by-step explanation:

The function p(x)= -2000x^2 + 16000x - 5000 models the monthly profit P of a smoothie company, where x represents the price per smoothie. Identify the price range that will generate a monthly profit of at least 25,000?

a. between $3 and $5, inclusive
b. less than $3
c. more than $5

Answers

Attached solution with steps.

Answer:     Between $3 and $5, inclusive

Step-by-step explanation:

The brady bunch has three boys who ages are consecutive even integers. The sum of the boy's ages is equal to four times the youngest boy's age. What are the ages Brady boys?

Answers

x+x+2+x+4 =4x

3x+6 =4x

x=6

6 +8+10 = 24

ages are 6, 8 & 10

Final answer:

The Brady boys' ages are consecutive even integers, and their respective ages are 6, 8, and 10 years old, as derived from setting up and solving an equation based on the given sum and multiple conditions.

Explanation:

We have a mathematical problem involving consecutive even integers and the relationship between their sum and a single integer's multiple. Since the Brady boys' ages are consecutive even integers, we can represent the youngest boy's age as x. The ages of the other two boys would then be x + 2 and x + 4 respectively, because even integers are two units apart.

The information given states that the sum of the boys' ages equals four times the youngest boy's age. This gives us the equation:
x + (x + 2) + (x + 4) = 4x. Simplifying this equation,
3x + 6 = 4x
3x - 4x + 6 = 0
-x + 6 = 0
x = 6.

Therefore, the youngest Brady boy is 6 years old, the middle boy is 8 years old, and the oldest is 10 years old

Solve the equation−3=8x−4y for y

Answers

-3 = 8x - 4y 
-8x  -8x 

-8x -3 = -4y 
/-4  /-4   /-4

2x + 3/4 = y 
Final answer:

To solve the equation for y, rearrange the terms and isolate the variable y on one side of the equation.

Explanation:

To solve the equation -3 = 8x - 4y for y, we need to isolate the variable y on one side of the equation. First, rearrange the terms:

8x - 4y = -3

Now, move the term with x to the right side by subtracting 8x from both sides:

-4y = -3 - 8x

Finally, divide both sides by -4 to solve for y:

y = (3 + 8x) / 4

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The perimeter of the square shown is 4(x+33) meters. What is the value of x if the perimeter is 28 meters

Answers

-26

This because 4x+132 =28

I dont know how your answer is negative though
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