If you add​ Natalie's age and​ Fred's age, the result is 46. If you add​ Fred's age to 4 times​ Natalie's age, the result is 91. Write and solve a system of equations to find how old Fred and Natalie are.

Answers

Answer 1

Answer:

Fred = 31

Natalie = 15

Step-by-step explanation:

We have Natalie and Fred's whos age are unknown, we know that when added, their ages equal 46. While when multiplied with Natalie's age 4 times, their ages is 91.

Create two systems :

F = Fred

N = Natalie

F + N = 46

4N + F = 91

We can change the first equation to Natalie's age alone :

N = 46 - F

Now substitute this into the second equation :

4(46 - F) + F = 91

Distribute :

184 - 4F + F = 91

Subtract 184 from both sides :

-4F + F = -93

Add like terms :

-3F = -93

Divide -3 from both sides :

F = 31

Therefore, Fred is 31 years old. Now replace his age in the first equation :

31 + N = 46

46 - 31

15

Therefore, Natalie is 15 years old.


Related Questions

I will give brainliest if correct !!

Answers

Answer:

58

Step-by-step explanation:

I need help pls...ty :)

Answers

Answer:

132

Step-by-step explanation:

because area is when you multiply 2 numbers and if you multiply 12 and 11 you will get 132 u welcome

Find the length of the third side. If necessary, round to the nearest tenth.​

Answers

Answer:

7.8

Step-by-step explanation:

1. 5^2 +6^2=x^2

2. 25+36 = x^2

3. 61=x^2

4. [tex]\sqrt{61}[/tex] = 7.8

WILL GIVE BRAINLIEST, PLEASE ANSWER QUICKLY. (look at picture)

Answers

Answer: 1/14, 2/28.

Step-by-step explanation:

2/7 x 0.25 =

Convert 0.25 into a fraction.

0.25 = 1/4.

Multiply the numerators together and then multiply the denominators with each other.

1/4 x 2/7 = 2/28.

Therefore, the answer is 2/28, but it can also be simplified to 1/14. So the answer is the first one, or 1/14.

Answer:

1/14 or A

Step-by-step explanation:

0.25 as a fraction is 1/4

1/4 x 2/7 = 2/28, simplify to become 1/14, and there is your answer

(could i have brainliest if possible?)

8x8x8=_______=_______​

Answers

Answer:

8*8*8= 8^3= 512

Step-by-step explanation:

Answer:

8x8x8= 8^3 = 512

Step-by-step explanation:

Hope this helps

In ARST, the measure of T=90°, ST = 7.7 feet, and RS = 9.7 feet. Find the measure
of R to the nearest degree.
9.7
7.7
X
T
R
Answer:
Submit Answer

Answers

Answer: 53

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Choose the number line that represents the equation, 2/6 + 3/6 + 2/6 = 7/6​

Answers

Answer:

B

Step-by-step explanation:

I hope this helped, please do tell me if the answer is wrong I will fix it with explanation check!

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Which of the following is a solution to the equation x3=149 ?

A
x=723

B
x=732

C
x=7−23


23



D
x=7−32

E
This equation has no solution

Answers

Answer:

x=5.301459

You have to find the cube root of 149 to isolate the variable.

Answer:

E

Step-by-step explanation:

help please, the image is attached.

Answers

Answer:

A

Step-by-step explanation:

A

17 sheniabduajxhsgdhshs

3. In a survey on juice preference, 68 students prefer orange
juice and 32 prefer apple juice.
Jui
Use difference to compare.

Answers

Answer:

36

Step-by-step explanation:

68-32= 36

Answer:

i have 36

Step-by-step explanation:

all i did was subtract 32 from 68

In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 17 hours. How many bacteria would there be after 20 hours, to the nearest whole number?

Answers

Answer:

y = 181

Step-by-step explanation:

Doubling Formula:

[tex]y = a(2)^\frac{t}{d}[/tex]

y=80

d=17

t=20

plug in

y=80(2)[tex]^\frac{20}{17}[/tex]

y=180.818525349

y≈181

i hope this helps some!

Answer: 149

Step-by-step explanation:

Ana ran 12.5 miles on week one of her training. On week two she ran 5 6/8 miles. How many more miles did she run on week 1 than week 2?

A. 7 5/6
B. 7 1/4
C. 17 7/10
D. 17 6/16​

Answers

Answer: C

Step-by-step explanation: My first time sorry if I am wrong


A right rectangular prism has a square base with a side length of 3 inches. The height of the prism is 8 1/4inches. What is the volume of this prism?

Answers

Answer:

Step-by-step explanation:

V = 3*3*8.25= 74.25 cubic inches

The sum of three consecutive numbers is 60. What is
each number?
Write an equation:
Solve:

Answers

20 + 20 + 20 = 60 that's the answer

Select all the fractions that are represented by a repeating decimal .

Answers

Answer:

A e f

Step-by-step explanation:

Hope this was helpful!!!

Hello!! I have a question, can you please answer it. ^^


The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.

a. What is the largest number of kits the nurse can make?

b. How many bandages and lozenges will be in each kit?

Answers

Answer:

1. 75

2. 1

Step-by-step explanation:

shopkeeper sells tins of the same dog food in packs of four or packs of six.

Packs of four tins cost £1. Packs of six tins cost £1.20

Which is the best value for money?
You must show your working.



Answers

Answer:

Pack of 6

Step-by-step explanation:

Pack of 4 = £1

Packs of 6 = £1.20

Price per unit of each pack:

Pack of 4 ;

Unit price : cost / units

Unit price = £1 / 4 = £0.25

Pack of 6 ;

Unit price : cost / units

Unit price = £1.20 / 6 = £0.20

Pack of 6 is the best value for money as it has a lower unit price

can someone please help me out with this problem ? i been trying to do this for like 2 days now and i still don’t get it .. also i need some tips on how i can remember this when im doing a different problem

Answers

Answer:

Step-by-step explanation:

the Pythagorean theorem is

c is the hypotenuse which is the side opposite of the right angle

plug the numbers into the Pythagorean theorem

[tex]x^2+(\sqrt{26})^2=13^2[/tex]

when squaring a square root, just take the number in the radical and get rid of the radical

[tex]x^2+26=169[/tex]

subtract 26 from both sides

[tex]x^2=[/tex][tex]143[/tex]

find the square root of 143

143 is prime so it can just be written as

[tex]x=\sqrt{143}[/tex]

Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm.


A. 108 pi cm^3
B. 36 pi cm^3
C. 18 pi cm^3
D. 54 pi cm^3

Answers

Answer:

D

Step-by-step explanation:

Step 1: (3)^2*6pi

Step2: 54 pi cm^3 Ans

Answer:

169.71

Step-by-step explanation:

FIRST PUT THE VALUES IN THE FORMULA OF VOLUME OF CYLINDER i.e.  V= πr^2 h  then evaluate the values as V=22/7(3)^2(6)  =169.71cm^3

 

William has a sticker album. Some pages have 1 sticker on them, and other pages have 2 stickers on them. If William has 18 stickers, how many different ways can he put the stickers in the album?

Answers

Answer:

6 ways

Step-by-step explanation:

William has a sticker album.

We are told in the question that:

Some pages have 1 sticker on them, and other pages have 2 stickers on them. If William has 18 stickers

The many different ways that can he put the stickers in the album is calculated as:

18 stickers ÷ ( 1 stickers + 2 stickers)

= 18 ÷ 3

= 6 ways

Therefore, the different ways that he can put the stickers in the album is 6 ways

Use properties of operations to complete the equivalent expression. 5(y+9)=​___y+​___ 5(y+9)=nothingy+nothing

Answers

Answer:

5y+45

Step-by-step explanation:

A rectangle has length 6 cm and width 4 cm. Give the length and width of another rectangle with the same area but a different perimeter.

Answers

Answer:

length could be 8 cm and width would be 3 cm and that would have a perimiter of 24 cm also

Solve for x.
(x + 10)°
(4x - 35)°

Answers

Answer:

x = 15

Step-by-step explanation:

x+10=4x−35

x+10−4x=4x−35−4x

−3x+10−10=−35−10

−3x=−45

x = 15

Put the following numbers in order from least to greatest 6.-3, 0, 4.-5​

Answers

Answer:

-5, -3, 0, 4, 6

Step-by-step explanation:

Answer:

-5,-3,6,4,0

Step-by-step explanation:

I just did least to greatest

Does the table represent an exponential function? Explain.
A. Yes, the x-values decrease by a constant amount and the y-values are multiplied by a constant amount.
B. No, the x- and y-values show a quadratic relationship only.
C. Yes, the x-values increase by a constant amount and the y-values are multiplied by a constant amount.
D. Yes, the y-values increase by a constant amount and the x-values are multiplied by a constant amount.

Answers

Answer:

No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.

Step-by-step explanation:

We have a set of ordered pairs of the form (x, y)

If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.

This means that:

\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b

This is: y_2=by_1y2=by1

Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}

Observe that:

\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31

Then the values of y are not multiplied by a constant amount "b"

Help guys I really need it​

Answers

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Solve for q.
7(q + 7) = 5q + 59

Answers

Answer:

5.

Step-by-step explanation:

7(q + 7) = 5q + 59

7q + 49 = 5q + 59

7q - 5q = 59 - 49

2q = 10

q = 5.

5. How many solution/s do linear inequality in two variable have?
A.O
B. 1
C. 2
D. Infinite


6. Which of the following in NOT a solution of the inequality x + y 2 5,?
A. (4, 5)
B. (3, 2)
C. (1,3)
D. (5,0)


7. An inequality using a > or s has a
A.horizontal
B.broken
line.
C. solid
D. vertical

8. If y > 5 + x, where can we find the solution set?
A.above the line
C. in the line
B.below the line
D. no solution set

9. Which of the following inequalities is represented by the given
graph?
A. 2x + y > 4
C. 2x + y 4
B. 2x + y < 4
D. 2x + y 24

10. Given the graph of y = 2x - 5 below, which of the following
ordered pair is NOT part of the solution set ?
A. (2, 5)
C. (2,-7)
B. (3,1)
D. (-2,-3)​

Answers

Answer:

5

C. 2

6.

A. (4, 5)

7.B.broken

line.

8.A.above the line

9.. 2x + y < 4

10.D. (-2,-3)

Answer:

5

C. 2

6.

A. (4, 5)

7.B.broken

line.

8.A.above the line

9.. 2x + y < 4

10.D. (-2,-3)

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

✨✨Please help✨✨ will mark brainliest

Answers

Answer:

2/3, 62%, 61, 0.6.

Step-by-step explanation:

62% stays 62%

0.6 is 60%

61 is 61%

2/3 is around 66.67%

so the order from greatest to least would be

2/3, 62%, 61, 0.6.

write an equivalent expression.
-2x + 7

Answers

Answer:

7-2x

Step-by-step explanation:

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