In 8 years, Sophia's age will be 21 years old. Let x represent Sophia's current
age today.
a. Write an equation that can be used to find Sophia's age today (X). [1 point)
b. Solve for x to find Sophia's age. [1 point)

Answers

Answer 1

Answer:

a. x+8=21

b. x = 13

Step-by-step explanation:

Answer 2

Answer:

She is 13 years old

Step-by-step explanation:

x + 8 = 21

x = 13


Related Questions

Find the midpoint of the line segment joining the points (-2, -1) and (-8,12).

Answers

x¹ = -2 x² = -8

y¹ = -1 y² = 12

Using midpoint formula,

M = ( x¹ + x²/2 ,y¹ + ý²/2)

or,M ={ -2+(-8)/2 , (-1) +12/2}

or, =( -10/2 , 11/2)

:M = ( -5 , 11/2)

Please help ASAP im very confused

Jean bought a $1,980 snow thrower on an installment plan. The installment plan agreement included a 10% down payment and 18 monthly payments of $116 each.
How much is the down payment?



What is the total amount of the monthly payments?



How much did Jean pay for the snow thrower on the installment plan?



What is the total finance charge?

Answers

Answer:

198, 2088, 2286, 306

Step-by-step explanation:

i think those should be right in order of questioning, i got a bit confused by the way it was presented

Solve the following equation.
5x + 8 - 3x = -10
о
X = -9
O
X = -1
X = 1
O
X = 9
Help

Answers

Answer:

-9

Step-by-step explanation:

5x-3x=-10-8

2x= -18

x=-18/2

= -9

Solution of the expression is,

⇒ x = - 9

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Equation is,

⇒ 5x + 8 - 3x = -10

Now, We can simplify as;

⇒ 5x + 8 - 3x = -10

⇒ 2x = - 10 - 8

⇒ 2x = - 18

⇒ x = - 18/2

⇒ x = - 9

Thus, Solution of the expression is,

⇒ x = - 9

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AT THE END OF THE HARVEST SEASON. OMAR WONDERS IF IT IS TIME TO COVER THE GARDEN

Answers

Answer:

BONUS: At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, … moisture in the air condenses into dew which freeze at 0°C and may damage the plants in the garden. At 4:00 P.M., the temperature is 5°C.

Step-by-step explanation:

Solve A= mR – R for R.

Answers

Answer:

Step-by-step explanation:

A = mR - R

R(m - 1) = A

R = A / (m - 1)

I WILL MARK BRAINIEST

Answers

Answer:

m1 = x

m2 = 180 - x

m4 = 180 -x

The line crosses the y-axis at ___________?

Answers

Answer:

The answer is -6. Hope it helps!

CSA Unit 2A-Solving Quadratic Functions
Part 2 (2 questions)
1 f(x) = x2 - 6x + 8
Complete parts -h for the quadratic function
a. Make a table and graph the quadratic equation
b. Axis of Symmetry
c. Vertex
d. Y-intercept
e Max/Min
f Roots
& Domain
х
Y
h. Range
Solve the following quadratic ("hintº find the zeros.)
2 2x2 – 24x + 72 = 0

Answers

I need points sorry man n so yea it’s c

Will a truck that is 10 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one-way road that passes under the bridge shown in the figure on the right? 13 ft --- 52 ft It will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately (Round to two decimal places as needed.) feet.

Answers

Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Height of the archway 5 feet from the center is required.

The height of the archway 5 feet away from the center is 12.757 feet.

Semi-major axis = [tex]a=\dfrac{52}{2}=26\ \text{feet}[/tex]

Semi-minor axis = [tex]b=13\ \text{feet}[/tex]

The formula for ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\Rightarrow \dfrac{x^2}{26^2}+\dfrac{y^2}{13^2}=1[/tex]

At 10 feet is the width of the truck.

The truck is passing through the center so the [tex]x=\dfrac{10}{2}=5[/tex]

[tex]\dfrac{5^2}{26^2}+\dfrac{y^2}{13^2}=1\\\Rightarrow y=\sqrt{(1-\dfrac{5^2}{26^2})\times 13^2}\\\Rightarrow y=12.757\ \text{feet}[/tex]

Now [tex]y=12.757\ \text{feet}>12\ \text{feet}[/tex]

So, the height of the archway 5 feet away from the center is 12.757 feet.

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A plane travels at a constant speed. It takes 6 hours to travel 3360 miles.

A - What is the planes speed in miles per hour?

B - At this rate, how many miles can it travel in 10 hours?​

Answers

Answer:

A-560

B-5600

Step-by-step explanation:

to find the answer for A we need to divide 3360 by 6 which gives us 560.

check: 560 x 6 = 3360

To find the answer for B we need to multiply the answer for A (560) by 10 which gives us 5600

Answer:

A- the question asks the speed and  the speed formula is speed=distance÷time. So 3360÷6=560 mph

B- At this rate means at this constant speed which is 560 mph, how many miles can it travel in 10 hours. We will rearrange the speed formula to find the distance. distance=speed×time. So 560×10=5600 miles.

Step-by-step explanation:

How much simple interest would $800 earn in 300 days at an interest
rate of 1.71%?

Answers

Simple Interest is defined as the interest that would be accumulated on a particular sum of money, loan, or investment kept or obtained from a financial institution.

The simple interest is $11.24

The formula for simple interest is given as:

I = P x R x T

Where

I = Simple Interest

P = Principal = $800

R = Interest rate = 1.71% = 0.0171

T = Time in years = 300 days

Step 1: We have to convert from days to a year

365 days = 1 year

300 days = ?

Cross Multiply

300 days x 1 year / 365 days

= 0.822 year

Step 2: We find the Simple Interest

I = $800 x 0.0171 x 0.822

I = $11.24

Therefore, the simple interest is $11.24

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https://brainly.com/question/21150689

Help would be more then appreciated

Answers

Answer:

a

Step-by-step explanation:

Miguel's town voted on a new speed limit. Of the votes received, 16 were in favor of the new
speed limit and 16 were opposed. What percentage of the votes were in favor of the new
speed limit?
Write your answer using a percent sign (%).

Answers

Answer:

Exactly 50% of the votes were in favor of a new speed limit.

Step-by-step explanation:

We are given that 16 votes were in favor of a new speed limit and 16 votes were not. From this, we can determine the total amount of votes.

[tex]16 + 16 = 32 \ \text{total votes}[/tex]

Then, using this information we can find the percentage of how many were in favor of the vote.

If 16 of the votes were in favor, we can divide these votes by the total votes to get a percentage.

[tex]\displaystyle \frac{16}{32}=\frac{8}{16}=\frac{4}{8}=\frac{2}{4}=\frac{1}{2}=0.5[/tex]

Then, we multiply this decimal by 100 in order to convert our answer to a percentage form.

[tex]\displaystyle 0.5 \times 100 = 50\%[/tex]

Therefore, 50%, or half of the voters, were in favor of a new speed limit.

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btw this is a joke pls dont take down this answer :( also first to answer gets brainiest

Answers

Answer:

i got u homie

Step-by-step explanation:

Answer:

Sure.

Step-by-step explanation:

Plz give me brainliest

FIRST TO ACTUALLY SOLVE THIS GETS THE BRAINLIEST, NO EXCEPTIONS! Don't even try unless you're serious about this!

Answers

Answer:

(w -9)^2

Step-by-step explanation:

Question 2 can u tell me if they are true or false?ill give a brainliest!

Answers

Answer:

a. false

b. true

c. true

d. false

e. false

Step-by-step explanation:

What power of 10 makes the number 7 equal to 700?

Answers

Answer:

2

Step-by-step explanation:

7x 10squared is 700. 10 squared is 100 7x 100 is 700

Hope this helps plz mark brainliest ;D

Answer:

7*[tex]10^{2}[/tex]

Step-by-step explanation:

Find the angle complementary to 64.25°​

Answers

Answer:

25.75° degrees

Step-by-step explanation:

Complementary angles are two angles that add to 90 degrees. This means that the complementary angle to 64.25 would be:

90 - 64.25

= 25.75°


How much time, in seconds, did the vehicle in this diagram spend STOPPED?

Answers

Answer:

like 10 i think

Step-by-step explanation:

the flat line is the time it spends stopped im pretty sure so that would be 10 seconds

A company wants to test a new brand of dog food that has added omega-3 oils for healthy, shiny coats.

The company selects two groups of volunteers who have dogs as pets. They give each person in both groups a month's supply of dog food. Each bag of dog food is unlabeled. One group is given the dog food with the added omega-3 oils, and the other group is given a brand of dog food without the added omega-3 oils. Both groups are asked to feed their dogs the food the company gave them and report whether they noticed an improvement in their dogs' coats.

Which statement is correct?

A.
The experiment is blinded because the volunteers in both groups and the company are all unaware of which group received the dog food with omega-3 oils.
B.
The experiment is not blinded because the volunteers in both groups and the company are all unaware of which group received the dog food with omega-3 oils.
C.
The experiment is blinded because the volunteers in both groups are unaware of which dog food they received.
D.
The experiment is not blinded because the volunteers in both groups are aware of which type of dog food they received.

Answers

Answer: The experiment is blinded because the volunteers in both groups are unaware of which dog food they received.

The statement which is correct about the experiment given to both volunteers is "The experiment is blinded because the volunteers in both groups are unaware of which dog food they received".

What is an experiment?

An experiment refers to a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis or determine the efficacy of something previously untried.

The experiment is blinded to the two volunteer groups because the supply of dog food given to both groups is unlabeled and they are both unaware of the food supply which contains the omega-3 oils.

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Doña Catalina usó 55 bolsas de estambre para hacer 18 bufandas cuántas bolsas de estambre usó en cada bufanda y cuantas bolsas no uso?

Answers

Step-by-step explanation:

ur ans.....stay happy n safe

Answer:

Doña Catalina usó 3 bolas en cada bufanda y dejó de usar solo 1 bola.

Step-by-step explanation:

please mark me as the brainliest answer and please follow me

Thank you if you help!

Answers

Answer: n= 2(17)

Step-by-step explanation:

I think it’s 2n+17 bc increase is add and twice is multiply and n is “a number”. So 2n+17

Factors of 18 please I’m on a test

Answers

Answer:

1, 2, 3, 6, 9, 18

Step-by-step explanation:

You are on a test so I will not waste your time :)

Solve: | −2n | + 10 = −50


(Find Solution)

Answers

Answer:

No Solution

Step-by-step explanation:

| −2n | + 10 = −50

Subtract 10 on both sides

|-2n|+10-10=-50-10

Simplify

|-2n=|=-60

No Solution

Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?

A) 3:2
B) 3-2
C) 2:3
D) 3 x 2

Answers

Answer:

2:3

Step-by-step explanation:

Ratio is indicated by :

Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3

Hope this helps plz mark brainliest if correct :D

Answer:

2:3

Step-by-step explanation:

2 is first and 3 is the second number so you put them in order

-14x+y=7 in slope intercept form

Answers

y = 14x +7

Step-by-step explanation:

-14x+y=7

+14x +14x

y=14x+7

6a-2(4a-5)=40
How do I solve it​

Answers

Answer:

Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.

Step-by-step explanation:

1.) Distribute

6−2(4−5)=40

6−8+10=40

2.) Combine like terms

6a-8a+10=40

-2a+10=40

3.) Subtract 10 from both sides of the equation

-2a+10=40

-2a+10-10=40-10

4.) Simplify

subtract the numbers

-2a+10-10=40-10

-2a=40-10

subtract the numbers

-2a=40-10

-2a=30

-2a=30

5.) Divide both sides of the equation by the same term

-2a=30

[tex]\frac{-2a}{-2} =\frac{30}{-2}[/tex]

6.) Simplify

cancel terms that are in both the numerator or denominator

[tex]\frac{-2a}{-2} =\frac{30}{-2}[/tex]

a=[tex]\frac{30}{-2}[/tex]

Divide the numbers

a=[tex]\frac{30}{-2}[/tex]

a=-15

a=-15

7.) Solution

a=-15

5x - 54 + 3x + 16 = 180

3x +16 = 180

5x - 54 = 3x + 16

Answers

Answer:

the answer sdhould be the third one

I need help on how to do the percentage ​

Answers

Answer:

8%

Step-by-step explanation:

Fred is worth 8% because all you have to do is multiply the fraction by 4 top and bottom and boom there is your answer

Amber and Jimmy both drove their cars to a theme park. They both drove a steady pace for most of the trip. It took Amber exactly 2 hours to travel the 153 miles to the park. Jimmy's trip is modeled by the graph below.

Answers

76.5 miles per hour
Hope this helps!

Amber and Jimmy's speed for driving their cars to the theme park is 76.5 miles per hour.

What is speed?

Speed refers to the rate of movement of a vehicle or person.

The speed can be computed by dividing the total distance by the time consumed.

Data and Calculations:

Total distance = 153 miles

Time is taken to cover distance = 2 hours

Speed per hour = 76.5 miles (153/2)

Question Completion:

What is Amber and Jimmy's speed?

Thus, Amber and Jimmy's speed for driving their cars to the theme park is 76.5 miles per hour.

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