Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?
(A) First write an equation you can use to answer this question. Use x as your variable.
The equation is _______
Answer: Devante is _______
and Savannah is ______

Answers

Answer 1

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

2d = 46

d = 23

To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

23 + 9 = 32

s = 32


Related Questions

Use a proportion to find 70% of 34.
will Mark brainlest

Answers

Answer:

23.8

Step-by-step explanation:

10% of 34 is 3.4, you multiply that by 7 and get 23.8

Really Need Help ! ASAP

Answers

Answer:

hope the above solution will help you

Write the polynomial in standard form given the following zeros. Show all work.
(hint; the polynomials are of degree 3)

1. x = -3i, x=2



2. x = 3(multiplicity 2), x = -1



Please show work I need it please and thanks fir Hu ever answers it

Answers

Answer:

x³ - 2x² + 9x - 18x³ - 5x² + 3x + 9

Step-by-step explanation:

1.

Zero's

x = -3i, x = 2 and the third zero is x = 3i

Polynomial is:

(x + 3i)(x - 3i)(x - 2) =(x² - 9i²)(x - 2) =(x² + 9)(x - 2) =x³ - 2x² + 9x - 18

2.

Zeros:

x = 3, x = 3, x = -1

Polynomial is:

(x - 3)(x - 3)(x + 1) = (x² - 6x + 9)(x + 1) =x³ + x² - 6x² - 6x + 9x + 9 =x³ - 5x² + 3x + 9

I need help with this please

Answers

Answer:

x + 12 ft

Step-by-step explanation:

Area = base times height.  Here we know the area (x^2 + 9x - 36) and the width (x - 3).  Since area = length times width, divide the given area by x - 3.

x^2 + 9x - 36 factors into (x - 3)(x + 12).

Dividing this result by x - 3 yields the length:  x + 12 ft

r(2s)(t) when r=2, s=3, and t=5

Answers

Step by step- substitute the variables for the numbers in which they correspond- 2(2x3)(5)- simplify- 2(6)(5)- multiply- 2(30) - multiply again- 60 is your Answer.

Answer:

60

Step-by-step explanation:

2(2*3)(5)

2(6)(5)

2(30)

60

PLEASE HELP QUICK!! I am very confused and I don't understand this at all any help will be appreciated right answers will be marked brainliest :)!! Your project must have your name, title, a PRE-IMAGE, Reflection over the y-axis, and a Translation of (x+15, y-20)
50 POINTS!!

Answers

Answer:

you need to explain more of what you are wanting me to do befor I can answer this question

Maria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when taking route E is different from the proportion of times she needs to stop when taking route W. She conducted the following hypothesis test at the significance level of α=0.10.

H0: pE=pW
Ha: pE≠pW
In the hypotheses, pE represents the proportion of times she needs to stop at the crossing when using route E, and pW represents the proportion of times she needs to stop at the crossing when using route W.

All conditions for inference were met, and the resulting p-value was 0.37. Which of the following is the correct decision for the test?


The p -value is less than alpha , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

The p -value is greater than alpha , and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes.

The p -value is greater than alpha , and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

The p -value is greater than alpha , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

The p-value is greater than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

Answers

Answer:

The p-value is greater than α , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

Step-by-step explanation:

The claim is not supported. Since 0.37>0.10, the null hypothesis is not rejected. There is not convincing statistical evidence that the proportion of times she needs to stop at the crossing is different for the different routes.

Andrew 720 seconds take shower and 420 seconds eating breakfast how many minutes does it take Andrew take a shower and eat breakfast

Answers

Answer:

Total time = 19 minutes.

Step-by-step explanation:

Given the following data;

Time to shower = 720 seconds

Time to eat breakfast = 420 seconds

To find the total time in minutes;

Total time = 720 + 420

Total time = 1140 seconds

We know that 60 seconds equals a minute.

Total time = 1140/60

Total time = 19 minutes.

Therefore, it will take Andrew 19 minutes to take a shower and eat breakfast.

James has $32 and earns $10 per week for his allowance.

What is the initial value for the scenario described?

10
32
42
320

Answers

Answer:

32

Step-by-step explanation:

it says he already had 32 and earns 10 per week so initial is 32 and increment is 10/week

The expression −310+13m represents a submarine that began at a depth of 310 feet below sea level and ascended at a rate of 13 feet per minute. What was the depth of the submarine after 8 ​minutes?

Answers

Answer:

206

Step-by-step explanation:

The formula for this problem would be -310 + 13(8) which = 206

can some one plz help me anwer choices are x =77/3 x=19 x=19 x=77/3
thats it

Answers

Answer:

Parithisis first, mutiplication next

Step-by-step explanation:

Please Excuse My Dear Aunt Sally

Capitals stand for first letters of the sequence of the operation

C + 4 = -8
Choose
This is a required question

Answers

Subtract 4 from both sides
C = -12

Answer:

c=-12

Step-by-step explanation:

x - y = -2
4x - y = 4

Answers

ExplanationGiven the system of equations.

[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]

Use the elimination method as it is faster. We have to eliminate the y-term. (You can eliminate the x-term but it takes longer than eliminating y-term.)

Simply multiply the negative one in one of the equations.

[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]

We can finally eliminate the y-term by adding both equations.

[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]

Substitute the value of x in any given equations. I will substitute in the first equation.

[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]

Check the answer by substituting the value of x and y in both equations.

First Equation

[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Second Equation

[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Hence, the solution is (2,4).

Answer

[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]

Coordinate Form

[tex](2,4)[/tex]

Jeff can type 110 words in 2 3/4 minutes. How many words can he type
in 4 1/4 minutes? *

Answers

Answer:

680

Step-by-step explanation:

What we should know is how many words he can type in 1/4 minutes. We can do 110 divided by 2.75 which is 40. 40 is the number of words he can type in 1/4 minutes. Now multiply this 17 (4 1/4 = 17/4) and you get 680. I believe he can type 680 words in 4 1/2 minutes. (Make sure my answer is correct)

MAY YOU PLEASE HELP ME

Answers

Answer: y=20x+10

Step-by-step explanation:mark me brainlest please

Maria looked at the nutrition labels for 5 different foods. She recorded the total calories and the calories from fat for each food in a table.
Calories
Calories from Fat
Percent of
Calories
from Fat
60
270
455
130
Food 1
Food 2
Food 3
Food 4
Food 5
125
40
90
25
310
95
Maria wants to identify which foods have a percent of calories from fat that is less than 30%. Select all of the foods that meet this criterion.

Answers

Answer:

food 1 food 3 food 5

Step-by-step explanation:

Need Help With This -Award 10 Points

Answers

2 tenths and 2 hundredths = the box above 0.2

0.39 = the box above 0.4

1/10 = the box above 0.1

90% = the box above 0.9


:) have a great day!!

Mr.smith had 2,364 baseball cards and wanted to give them to his 2 sons equally.How many cards did each son get?

Answers

Answer:

1,182

Step-by-step explanation:

Answer:

1182

Step-by-step explanation:

Ms. Rios mowed
2
7
of her lawn. Her son mowed
1
4
of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer:

Ms Rios mowed more

Step-by-step explanation:

I'm assuming that there's 100% of the lawn so if Ms Rios mowed 27% of the lawn when it was at 100% it would be at 73%

Now if her son mowed 14% and it was still at 100% it would be at 86%

So in the end Ms Rios mowed more of her lawn

What is the simplified version of this?[tex]\frac{\sqrt{2} }{3+\sqrt{5} }[/tex]

Answers

Answer:

(3√2 - √10)/4

Step-by-step explanation:

Simplify, rationalize the denominator

√2/(3 + √5) = √2(3 - √5)/(3 + √5) (3 - √5) =(3√2 - √10)/(3² - 5) =(3√2 - √10)/4

A grocery store sells salmon fillets in package that contains at least 3 fillets of salmon,but no more than 5.which of the following could be the total number of salmon fillets in 6 packages

Answers

Answer: 18 ≤ 6*S ≤ 30

Where S is the number of salmon fillets in one single package.

Step-by-step explanation:

Let's define S as the number of salmon fillets in one package.

We know that it contains at least 3, and no more than 5, then we can write:

3 ≤ S ≤ 5

Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.

We can find this by multiplying the inequality:

3 ≤ S ≤ 5

by 6.

We get:

6*3 ≤ 6*S ≤ 6*5

18 ≤ 6*S ≤ 30

Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.

Reflection across the x-axis for (-3,-7)

Answers

(3,7) just change the signs

Answer:

(-3, 7)

Step-by-step explanation:

The formula for reflecting a point across the x-axis is (x, y) → (x, -y).

Substitute: (-3, -7) → (-3, 7)

I hope this helped! :)

What is least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? What are the dimensions of this rectangular prism? LOTS OF POINTS

Answers

Answer: 96in²

Step-by-step explanation:

A cube is the most efficient rectangular prism in terms of surface area.

A rectangular prism where l = 4in w = 4in h = 4in has a volume of 64in³

This rectangular prism has a surface area of 96in²

Answer:

96

Step-by-step explanation:

Decrease 10kg by 20%​

Answers

Answer:

8Kg

Step-by-step explanation:

20% of 10 = 2

10 - 2 = 8

That's your answer!

439x2 ( Use only algorithm. )

Answers

878 ?????????????????

Answer:

878

Step-by-step explanation:

439 x 2

2x9= 18

2x30=60

2x400=800

Then add

800+60+18

60+18=78

800+78= 878

can anyone answer this for me please ​

Answers

Answer:

10

+

g

9

>

12

Move the negative in front of the fraction.

10

g

9

>

12

Move all terms not containing  

g

to the right side of the inequality.

Tap for more steps...

g

9

>

2

Multiply each term in  

g

9

>

2

by  

1

Tap for more steps...

g

9

<

2

Multiply both sides of the equation by  

9

.

g

<

2

9

Multiply  

2

by  

9

.

g

<

18

The result can be shown in multiple forms.

Inequality Form:

g

<

18

Interval Notation:

(

,

18

)

Step-by-step explanation:

what shape best describes the cross cut section perpendicular to the base of the rectangluar prism

Answers

rectangle because it’s a prism

Solve for x

-4 + x _< 9

Answers

Answer:

Step-by-step explanation:

what is the underscore for?

Answer:

your answer should be x < 13

Step-by-step explanation:

Hope this helps and have a nice day :)

A student borrows $10,000 to pay for college at a 3.5% annual interest. What is the equation that will model how much the student owes, P, after some number of years, t ?
P = ______(___)^t

How much money will the student owe after 8 years of not paying anything on the loan? ​

Answers

Answer: I got 2857.14

Step-by-step explanation:

Answer:

the first guy was write i checked

A school rewards students for good work by giving them merit points.
James has x merit points.
Sarah has four times as many merit points than James.
Robert has 31 fewer merit points than James.
Each merit point is worth 3 pence.
All three of the students have a total of £14.73
Work out how many merit points each student has.

Answers

Answer:

hi...... hello.. m...... n. b

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