The larger of two numbers is 5 more than the smaller. The smaller number plus the larger equals 100. Find the number.

Answers

Answer 1

Answer:

Smaller number-47.5

Larger number-52.5

Step-by-step explanation:

We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation

x+x+5=100

100-5=95

2x=95

95/2=47.5

x=47.5

The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5


Related Questions

please solve and explain !!!

Answers

Answer:

107

Step-by-step explanation:

Angle 1

When a line is passes through a straight line, the two angles must equal 180 degrees.  Since you know the one angle is 81, then angle 1 is 180 - 81 or

99 degrees.

Angle 2

You can determine the angle that is opposite of the 91 angle.  These two angles must add up to 180.  So the angle to the right of 91 must be 89.

89 + 91 = 180

You were told lines c and d are parallel.  Based on that, the angle you just calculated must be equal to angle 2 or 89 degrees.

Angle 3

Again, you know that lines c and d are parallel. When a line crosses over two parallel lines, the outer opposite angles would be equal to each other.

So angle 3 is equal to the angle marked as 81 degrees.

Angle 1 + Angle 2 - Angle 3 = 107

Translate each sentence into an equation.The sum of five times h and twice g is equal to 23.

Answers

Answer:

5h + 2g = 23

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary)

(3,6) and (1,9)

Answers

Answer:

3.6

Step-by-step explanation:

Find the equation of the line that passes through the points (3,-2) and (-1,6) Explain

Answers

Equation: y = -2x + 4

Explanation: The reason that this would be the answer is because when the 2 points shown are put into graph form (as seen in the picture below) we can see that the slope of the equation is -2 and the y-intercept is 4. So, knowing this, we could fill in our slope-intercept form (y = mx + b) and there we have our equation.

Nicole is buying burgers and fries for a party. She bought twice as many fries as burgers. If each
burger costs $4 and each order of fries
costs $2, and she spent a total of $48, how many burgers
and how many fries did she buy?

_____burgers and _____fries

Answers

Answer:

6 burgers and 12 chips

Step-by-step explanation:

Answer:

I think its 38 fries and 10 burgers

Step-by-step explanation:

solve for x
z=5x-11y
x=?​

Answers

Answer:

x= z+11y/5

hope it helps

Answer:

[tex]x = \frac{z + 11y}{5}[/tex]

Step-by-step explanation:

To solve for x, given the equation: z = 5x - 11y

Add 11y to both sides:

z + 11y = 5x - 11y + 11y

z + 11y = 5x

Divide both sides by 5 to isolate x:

[tex]\frac{z + 11y}{5} = \frac{5x}{5}[/tex]

[tex]\frac{z + 11y}{5} = x[/tex]

please please please help me

Answers

Answer:

Step-by-step explanation: Volume is the amount of space something takes up, just add up the numbers once you found them.


3. (05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<- 3/4X-1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)

Answers

>= means greater than or equal to

<= means less than or equal to

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

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

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

The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

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

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions.  

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

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have

y >= -3x+3

3 >= -3*(-6)+3

3 >= 18+3

3 >= 21

which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness

y < (3/2)x - 6

3 < (3/2)*(-6) - 6

3 < -9 - 6

3 < -15

this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas.  

Ricky looked at his checking account balance regularly. The inequality statement compares the magnitude of his two lowest balances. What does the inequality statement show? |−300|>|−100| Select from the drop-down menus to correctly complete the statement. Even though −300 is Choose... than −100, a $100 debt is a Choose... debt than a $300 debt.

Answers

Answer:

1: less

2: lesser

Step-by-step explanation:

We can complete the statement as -

Even though |−300| is greater than |−100|, a $100 debt is a less debt than a $300 debt.

What is absolute value of a number?

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have a inequality statement that compares the magnitude of two lowest balances as -

|−300| > |−100|

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = -x

So -

for x = |- 300| = 300

and

for x = |- 100| = 100

On comparing -

300 > 100

We can complete the statement as -

Even though |−300| is greater than |−100|, a $100 debt is a less debt than a $300 debt.

Therefore, we can complete the statement as -

Even though |−300| is greater than |−100|, a $100 debt is a less debt than a $300 debt.

To solve more questions on number line, visit the link below-

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A grocery clerk made this graph to relate the number of pounds of peaches and plums to the cost.

Which statement is true based on the graph?
A. The quantities form a proportional relationship for both peaches and plums.
B. The quantities form a proportional relationship for plums but not for peaches.
C. The quantities form a proportional relationship for peaches but not for plums.
D. The quantities do not form a proportional relationship for either peaches or plums.

Answers

Answer:

(A) The quantities form a proportional relationship for both peaches and plums.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Someone help im giving brainliest!

Answers

Answer:

D. 30

Step-by-step explanation:

( -5 ) ( -2 ) ( +3 )

( 10 ) ( 3 )

30

Hopefully this helped!

Brainliest please?

Answer:

30

How I did it:

All you have to do is mulitply the numbers:

- 5 (- 2) ⋅ 3

And you'll get 30!

What is the slope of the line represented by the equation 3x– 4y = 7?

Answers

Answer:

slope = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x - 4y = 7 ( subtract 3x from both sides )

- 4y = - 3x + 7 ( divide terms by - 4 )

y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

factorize 18x-2x^3+9-x^2​

Answers

Answer:

(3 - x)(3 + x)(2x + 1)

Step-by-step explanation:

18x - 2x³ + 9 - x² ( factor the first/second and third/fourth terms )

= 2x(9 - x²) + 1 (9 - x²) ← factor out (9 - x²) from each term

= (9 - x²(2x + 1) ← 9 - x² is a difference of squares a² - b² = (a - b)(a + b) )

= (3² - x²)(2x + 1)

= (3 - x)(3 + x)(2x + 1)

Angie and her friends are heading to the Glacier Heights snow park. They plan to purchase the Glacier group package, which costs $76 for 8 people. That's $2 less per person than the normal cost for an individual. What is the normal cost for an individual?
$

Answers

Answer:

The normal cost would be $11.50

The normal cost for an individual will be $11.50 per person.

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.

Angie and her companions are making a beeline for the Ice sheet Levels snow park. They intend to buy the Glacial mass gathering bundle, which costs $76 for 8 individuals.

The cost of individuals will be given as,

⇒ $76 / 8

⇒ $9.50

That's $2 less per person than the normal cost for an individual. Then the normal cost is given as,

⇒ $9.50 + $2

⇒ $11.50

The typical expense for a singular will be $11.50 per individual.

More about the Algebra link is given below.

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1) Danielle completely covered a square window using 18.4 ft of contact paper without any
overlap. Which measurement is closest to the side length of this window in feet?
A 5 ft
B 4 ft
C 9 ft
D 3 ft

Answers

the answer should be b. because 4(4) = 16 and that’s closer to 18.4 than the others.

please answer this question

Answers

Graph 1: Domain = 2 <= x < 12  

Graph 1: Range = {2,4}

Graph 2: Domain = 3 <= x <= 10  

Graph 2: Range = -6 <= y <= 4

Graph 3: Domain = 4 < x < 11  

Graph 4: Range = -6 <= y < 2

Solve " 1/2 (2 + 12) = 2z + 3 " 3 different ways

URGENT! WILL HEART AND GIVE BRANLIEST!

Answers

Yeah yeah I just said I don’t know how long it is going but I’m going to do a lot of stuff like this one too lol I’m equally like that I’m just so mad I just want to be mad because it’s not gonna be a joke I’m sorry but I can’t wait to get back to

Jonathan is signing a lease for an apartment that rents for $1240/month.



How much will he pay to move in if he must pay the first and last months’ rent and a security deposit equal to 80% of his monthly rent?

$2976


$3472


$3542


$3720

Answers

The answer would be $3472

The required amount that Jonathan needs to pay to move in the apartment is $3472.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Jonathan is signing a lease for an apartment that rents for $1240/month.

According to the condition, he must pay the first and last months’ rent and a security deposit equal to 80% of his monthly rent.

So,
Total amount to pay = sum of the first and last month rent + 80% of a month rent
Total amount to pay = 1240 + 1240 + 80% of 1240
Total amount to pay = 2480 + 0.80[1240] = $3472

Thus, the required amount that Jonathan needs to pay to move in the apartment is $3472.

Learn more about models here:
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38/19 = n-5/20

I need this VERY QUICKLY, first one to give me an answer gets brainly!

Answers

Answer:

25

Step-by-step explanation:

not sure about the explanation

Do u guys have a clue on this?

Answers

Answer:

3rd then 1st then 2nd then 4th

also pls give me brainliest

A hotel has 30 floors with 40 rooms per floor. The rooms on one side of the hotel face the water, while rooms on the other side face a golf course. There is an extra charge for the rooms with a water view. The hotel manager wants to select 120 rooms and survey the registered guest in each of the selected rooms about his or her overall satisfaction with the property. The manager gets an SRS of rooms on the first floor with a water view and another SRS of rooms on the 30th floor with a golf course view.

Required:
a. Explain why choosing a stratified random sample might be preferable to an SRS in this case. What would you use as strata?
b. Why might a cluster sample be a simpler option? What would you use as clusters?

Answers

A) Choosing a stratified random sample might be preferable to an SRS because;

Stratified random sampling would divide the population into stratas but the

SRS would not do so. The strata would be the type of room namely those

with water view and those with golf view.

B) The reason why a cluster sample would be a simpler option is because;

It will divide the population into multiple clusters that makes it easier to

work with unlike the SRS that generalizes. The clusters would be each of

the 30 floors.

We are told that the manager wanted to select 120 rooms and carry out a survey on each registered guest by asking how satisfied they were with the hotel. He decided to use a sampling method called SRS which means Simple Random Sampling.

Simple random sampling is defined as a sampling method where individuals or objects are selected randomly from a population thereby given each person or object an equal chance of selection.

A) Stratified Random sampling is a method of sampling that divides the population into smaller groups known as objects/stata. In this case Stratified random sampling would be preferred to SRS because the hotel rooms are divided into two types namely those that can view the water and those that can view the golf course and as such the Stratified random sampling would divide the population but the SRS would not do so.

B) Cluster sampling is when the population is divided into multiple groups known for assessment. The reason why it would be a simpler option is because there are 30 floors and they can be classified as clusters and surveyed per floor.

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what could the answer be when you multiply C square

Answers

Answer:

[tex]C^2×C^2=C {}^{(2 + 2)} =C^4[/tex]

PLLLLZZZZ HELPPPP ME!!!!!!!!!
The smallest known galaxy, Segue 2, has an approximate radius of 1.05 × 1015 kilometers. Use the conversion factors 1 light-year = 9.5 × 1012 kilometers and 1 parsec = 3.262 light-years to convert this distance from kilometers to parsecs.

Answers

Answer:

33.88 parsec

Step-by-step explanation:

Given:

1 light-year = 9.5 × 10¹²  kilometers1 parsec = 3.262 light-years

Convert parsec to km:

1 parsec = 3.262 * 9.5 × 10¹² = 30.989 × 10¹² = 3.0989 × 10¹³

Find the radius of Segue 2 in parsecs:

1.05 × 10¹⁵ / 3.0989 × 10¹³ = 105 × 10¹³ / 3.0989 × 10¹³ = 105/3.0989 = 33.88 parsec

What term is -4x in the equation x2-4x+4
= 0​

Answers

Answer: it is the second.

Step-by-step explanation:

X2 is 1 term. -4x is another and +4 is another.

So, -4x is the second term.

please help!!! thank you! ​

Answers

Answer: -13x - 2

Step-by-step explanation:

-6x + -7x = -13x

3+-5 = -2

-13x - 2

-Gage Millar, Algebra 2

find the value of k if it is known that the graph of y=kx+2 goes through the point. a(14,-40)
(100 POINTS)

Answers

Answer:

k=-3

Explanation:

Plug in x and y values

-40=k(14)+2

-2 both sidea

-42=k(14)

divide by 14 both sides

k=-3

k = -3

Step-by-step explanation:

y = kx + 2 through the point a(14, -40)

Subtitute…

y = kx + 2

-40 = k(14) + 2

-40 = 14k + 2

-40 - 2 = 14k

-42 = 14k

(-42)/14 = k

-3 = k

Sheila walks 3 miles in of an hour. How fast does she walk per hour?

Answers

Answer:

Shiela walks 3 miles per hour

Step-by-step explanation:

if you reread the question it easily gives it away

4-1/4 help please guys​

Answers

Answer:

Step-by-step explanation:

3.75

the length of a rectangle is four times it’s width if the perimeter of the rectangle is 70 yd find it length and width

Answers

Answer:

Step-by-step explanation:

Length = 4 * width

L = 4 * w

70 = Perimeter = 2*Length + 2* width = 2(4w) + 2w = 8w + 2w = 10w

so w=7 --> length is 28.  Note that perimeter is 28+28+7+7 = 56 + 14 = 70

Then the area is 28 x 7 = 196 square inches

change 7/8 into a decimal.

Answers

Answer:

0.875

Step-by-step explanation:

you have to multiply it

Answer:

7/8=0.875

Step-by-step explanation:

We know that 7/8 is the same as 7÷8 Then using Long Division for 7 divided by 8 and rounding to a Max of 3 Decimal Places gives us 7/8=0.875

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