Mathematics High School

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

helpppppppppppppp-------

Answers

Answer:

7/10

Step-by-step explanation:

1/10 = 2/20

1/4 = 5/20

2/5 = 8/20

11/20 = 11/20

We can see that the next term is just 11/20 + 3/20, as 3/20  is added onto each of the next terms.

11/20 + 3/20 = 14/20, which can be simplified to 7/10.

Hope this helps!

The correct answer is 7/10

5x^2-41x+8=0 please helpp

Answers

Answer:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

4

1

+

8

=

0

5x^{2}-41x+8=0

5x2−41x+8=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

4

1

b={\color{#e8710a}{-41}}

b=−41

=

8

c={\color{#129eaf}{8}}

c=8

=

−

(

−

4

1

)

±

(

−

4

1

)

2

−

4

⋅

5

⋅

8

√

2

⋅

5

2

Simplify

3

Separate the equations

4

Solve

Solution

=

8

=

1

5

x=8
X= 1/5 is solution

WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set

Answers

Answer:

they need to save $630 in order to have enough for the trip

270 + 630 = $900

You can pack 6 cans in 1 box. Write a proportion to find the number of
cans you can pack in 12 boxes. Which choice sets up the proportion
correctly and has the correct solution?

Answers

Answer:

Step-by-step explanation:

You can fit 6 cans in a box. So now there are 12 boxes. Therefore you have to multiply 6 times 12 which should give you 72. You can fit 72 cans in 12 boxes total

A bus driver started her day with an empty bus. At her first stop she picked up
11 people. At her second stop she picked up 5 more people and let 7 people
get ofl. At her third stop she picked up 5 people and let 2 off. How many
people were on the bus as the driver left the third stop?

Answers

Answer:

12 people.

Step-by-step explanation:

Let's do this one at a time.

First stop:

0 + 11 = 11

Second stop:

11 + 5 = 16.

16 - 7 = 9.

Third stop:

9 + 5 = 14.

14 - 2 = 12.

There were 12 people on the bus after the driver left the third stop.

pl help it’s for a grade

Answers

Answer:

area of lot: (2×2+7×+6)-1624= 2×2+7×-1618

Step-by-step explanation:

lot: (2×+3)(xt2)

2×2+4×t3×t6

a: 2×2+7×+6ft 2

house: 58×28= 1,624

a: 1624 ft 2

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1?

Answers

Answer:

The average rate of change of the function is: 0

Step-by-step explanation:

The function y = f(x) is graphed below.

From the graph it is clear that:

at x = -8, the value of f(-8) = -10

at x = -1, the value of f(-1) = -10

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

so

at x₁ = -8, f(x₁) = f(-8) = -10

at x₂ = -1, f(x₂) = f(-1) = -10

Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                      = [f(-1) - f(-8) ] / [-1-(-8)]

                      = [-10 - (-10)] / [-1+8]

                      = [-10 + 10] / 7

                      = 0 / 7

                      = 0

Therefore, the average rate of change of the function is: 0

Please help due today

Answers

Answer:

160 - 2

120 - 1 1/2

240 - 3

Step-by-step explanation:

80 km driven every hour

in parallelogram DEFG if m< GDE=50° find m

Answers

Answer:

130°

Step-by-step explanation:

180-50=130°

20 POINTS PLZ HELP

4. You are taking out an adjustable rate mortgage with an initial APR of 4% for
years 1 - 5, loan amount: $224,000 for 30 years. What is the monthly payment and
total cost for the first 5 years? Which line(s) did you use on the calculator and
what did you enter for B, R, T and m.

Answers

Answer:

mmm... i think its 6-

Step-by-step explanation:

You know 1000 mg = 1g. Convert 2.5 grams into milligrams. ​

Answers

2.5grams = 2,500 milligrams

Answer:

2.5 gramms = 2.500,000 Milligram (mg)

Step-by-step explanation:

multiply the mass value by 1000

Determine weather 6y+ 13y is equivalent to 9(y+2)

Answers

Answer:

mnljkhjhkbj/n/

Step-by-step explanation:

Ok. Set both equal to each other. Solve. Then if “x=x” then they are equivalent. If not, they are not.

Several students in a class made the following statement. Decide whether you agree with the statement. If you disagree, change the statement to make it correct. A quadrilateral with congruent diagonals must be a rectangle. (ignore that one is already picked that was an accident)

Answers

Answer:

It's option c

Step-by-step explanation:

Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. If the interest is compounded quarterly, write a function to model this situation. How much interest will she have paid after 12 years?

Answers

Answer: $48,366.78

Step-by-step explanation:

3000(1+0.04/4) 4t

The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Here P = $30,000

r = 4% = 0.04

n = 4

t = 12

The function of this situation:

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}[/tex]

Plug t = 12 in the above function.

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}[/tex]

A = $48,366.78

So compound interest CI = 48,366.78 - $30,000

CI = $18,366.78

Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ2

How many real solutions does the equation v3x – 1 = 21 – 5 have?​

Answers

Answer: this solution cant be solved

Step-by-step explanation:

Pls help me I rlly need help!!!!!!!

Answers

Answer:

The last one!!!

Step-by-step explanation:

Count the squares

The last one is the answer!

please hurry and answer correctly. fake answers will be reported

Answers

ok i’ve attached a picture with how i would work out the problem

PLZ HELP WILL MAKR BRAINLIEST

Answers

Answer:

It will be 0.2

Step-by-step explanation:

Hope this Helped

Elle was asked to find the missing measure of an interior angle of a heptagon. A heptagon has angles x, 116 degrees, 115 degrees, 155 degrees, 138 degrees, 95 degrees, and 150 degrees. Elle’s work is shown below. Steps Elle’s Work Step 1 (n minus 2) 180 degrees = (7 minus 2) 180 degrees = 900 degrees Step 2 900 minus (116 + 115 + 155 + 138 + 150) Step 3 x = 226 degrees Where, if at all, did Elle first make a mistake finding the measure of an interior angle? step 1 step 2 step 3 Elle did not make a mistake.

Answers

Answer:

Step 2

Step-by-step explanation:

Answer:

Should be step 2!

Step-by-step explanation:

Help me please!
If you get it right, I’ll will brainliest u!!

Answers

Answer: c

Step-by-step explanation:

MAY YOU PLEASE HELP ME

Answers

Answer: y=20x+10

Step-by-step explanation:mark me brainlest please

Write an equation in point-slope form for the line that passes through (-4, 5) and has a slope of 1/2 .

Answers

Answer:

y=1/2x+7

Step-by-step explanation:

y-5=1/2(x-(-4))

y-5=1/2x+2

y=1/2x+7

HELP I NEED HELP ASAP

Answers

I think it’s C, because for one ticket 15(1)+2 = 17
No it’s not c I took the test it’s b

Pls answer for me btw you are very smart

Answers

Answer:899,396

Step-by-step explanation:

-10(x + 21) = -15x + 18
What value of x makes the equation true?

Answers

Answer:

x = 45.6

Explanation:

-10(x + 21) = -15x + 18

-10x - 210 = -15x + 18

-210 = -5x + 18

-228 = -5x

x = 45.6

(I’m not sure if this is what you’re looking for, but I hope it helped a bit)

The lowest point on the Earth's surface is in the Mariana Trench in the
Pacific Ocean. It has a depth of about 36,069 feet. Which is this depth
written in scientific notation?
A 36 x 103
B 3.6 x 104
C 3.6 x 105
D 0.36 x 105

PLEASE HELP MEEE!

Answers

Answer:

3.6069 × 104

Step-by-step explanation:

Here is a list of numbers 6,7,2,4,6,9,5,3,3

Answers

Answer:

mean = 5.375, median = 5.5, mode = 3, 6, range = 6

Step-by-step explanation:

this is the only thing i could think of that i could use those numbers for

The ratio of Sam's money to Buffy's is 1.2. If Sam has $3, how much money does Buffy have? Show your work please

Answers

if the ratio is 1:2,

sam has three dollars.
buffy has six dollars.

we know this because the ratio is 1;2, so we can multiply sam’s amount by two, because buffy’s amount is twice sam’s amount.

ANSWER: buffy has 6 dollars!!


if you need the new ratio: 3:6


Five friends went to the amusement park and spent a total of $165. Each person had to buy an admission ticket, then each decided to
spend $8 on lunch. What was the cost of each admission ticket?

Answers

$31.40

Step-by-step explanation:

165-7=157÷5=31.40

Which two of the following numbers have the same value?
33 and 42
42 and 52
24 and 33
24 and 42
i'll try to mark brainliest for the first correct answer!!

Answers

Answer:

33 and 42

Step-by-step explanation:

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