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

Two groups are hiking at about the same speed . Mario’s group hikes for 2.5 hours Seemas group hikes for 4.7 hours and covers 8.8 more miles . How fast are the kickers going ? Solve the equation below to find out . 4.7x=2.5x+8.8

Answers

Answer: 18.8 miles

Step-by-step explanation:

Ww are given the equation 4.7x=2.5x+8.8 to solve the question. This will be:

4.7x = 2.5x + 8.8

Collect like terms.

4.7x - 2.5x = 8.8

2.2x.= 8.8

x = 8.8/2.2

x = 4

To know how fast the kickers are going will be

4.7x = 4.7 × 4 = 18.8 miles

HELP LOL IT MY LIL SIS HELPP

Answers

Answer:

what did ur lil sis do??? hurry call the police and get immediate help right away ok

Step-by-step explanation:

htt ps://me et.go ogle.c om/d hq-u nho-c ja
just take the spaces out lol..

Answers

Answer:

why

Step-by-step explanation:

Someone please help (10 points each)

Answers

Answer:

80

Step-by-step explanation:

Answer:

x is 80 because it is equal to the other side.

Step-by-step explanation:

David swam in 312 events during the last 6 years. He swam the same number of events each year.

How many events did he swim in each year?

Answers

Answer:

52

Step-by-step explanation:

Divide 312 by 6 to find the number of events he swam per year

He swam 52 events each year.

Explanation:

You can figure this out by dividing 312 by 6, which would get you 52, the amount of events he swam each year

Solve: One day in the school parking lot, there were 30 vehicles. 6 of the vehicles were SUVs. The rest of the cars were sedans. What was the ratio of SUVS to total vehicles?​

Answers

Answer:

6:30 would be the ratio cause out of 30 cars 6 are SUVs

Given g(x)=2x ^2- 3x+6 find the value of g(2.5)

Answers

Answer:

-25

Step-by-step explanation:

Someone please help me quick! Pleaseee

Answers

Answer:

B

Step-by-step explanation:

Reflect x-axis means (x,y) becomes (x, -y)

Shrink by 1/3 means f(x) = x becomes f(x) = 1/3x

Up 4 units means f(x) = x becomes f(x)= x + 4

So lets put that together

[tex]f(x) = \sqrt{x}[/tex]

[tex]f(x) = -\sqrt{x}[/tex]

[tex]f(x) = -\frac{1}{3} \sqrt{x}[/tex]

[tex]f(x) = -\frac{1}{3} \sqrt{x} + 4[/tex]

what are the like terms in the expression 8+x^2-4x^3+5x+2x^2?​

Answers

Answer:

B. x^2x2 and 2x^22x2

Step-by-step explanation:

The expression given is:

8+ x^2 - 4x^3 + 5x+ 2x^28+x2−4x3+5x+2x2

Like terms are terms in which their variables and the power of the variables (exponents) are the same.

While it is not necessary that the coefficient of the variables are the same, the power of the variables must be the same.

In that case, the like terms in the expression given are x^2x2 and 2x^22x2 .

Note: The question says 8+ x^2 - 4x^3 + 5x+ 2x^28+x2−4x3+5x+2x2 but the option has -4x^2−4x2 .

In case its actually -4x^2−4x2 instead of -4x^3−4x3 , then,

 -4x^2−4x2 is also a like term and the answer will be D.

HOPE IT HELPS..

I NEED HELP ASAP!!!!!!!

Answers

Answer:

y = -0.5x + 3

Step-by-step explanation:

The equation of a linear model is generally represented as;

y = mx + b

where m

is slope and b is the y-intercept

We can get slope by using the slope equation

m =

(y2-y1)/(x2-x1)

(x1,y1) = (-4,5)

(x2,y2) = (4,1)

m = (1-5)/(4 + 4) = -4/8 = -0.5

The equation is thus;

y = -0.5x + b

to get b, we substitute any of the two points coordinates

1 = -0.5(4) + c

1 = -2 + c

c = 2 + 1

c = 3

A piece of ribbon is 950 centimeters long. What is the length of the piece of ribbon in meters?

Answers

Answer:

9.5 meters

Step-by-step explanation:

There are 100 centimeters in a meter

950/100 = 9.5

Answer:

9.5 meters

Step-by-step explanation:

divided by 100

Someone plz help me

Answers

Answer:

300

Step-by-step explanation:

3 :  15 :: 60 : x

Product of extremes  = Product of  means

3 * x = 15 * 60

    [tex]x = \frac{15 * 60}{3}\\\\x = 5*60\\\\x = 300[/tex]

Or Do in this way

[tex]\frac{3}{15}=\frac{60}{x}\\\\[/tex]

[tex]\frac{3*20}{15*20}=\frac{60}{x}[/tex]

x = 15* 20 = 300

Answer:

300

Step-by-step explanation:

I NEED HELP PLSS ASAP

Answers

Answer:

I don't know why this always happens to me it looks black can u ask the question and I will answer

Form a sequence that has two arithmetic means between 13 and 88.
a.
13, 38, 63, 88
c.
13, 25, 25, 88
b.
13, 88, 163, 238
d.
13, 50.5, 88

Answers

Answer:

a.13,38,63,88

Step-by-step explanation:

they have the same common difference which is 25

write an equation of the line that passes through the points (0,3) and (2,11)​

Answers

Answer:

y=4x+3

I used the formula: y=mx+b

During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.

Answers

Answer:

135.71 sea otters

Step-by-step explanation:

y = 70(1.18)^4

y = 70 x 1.9387

y = 135.71

The number of sea otters after 4 years with an exponential growth of 18% will be 135.71.

What is an exponential function?

A connection of the form y = ax, where x is an independent variable that spans the entire real number line and is written as the exponent of a positive number, is known as an exponential function in mathematics.

The exponential growth function is given as,

y = C x^n

y = 70(1.18)⁴

y = 70 × 1.9387

y = 135.71

Hence "After 4 years, there will be 135.71 sea otters, representing an exponential growth of 18%".

For more about exponential function,

https://brainly.com/question/15352175

#SPJ5

Given f() = 3x – 29
Find f (4)

Answers

Sub in 4 as x
3(4) - 29
= -17

Answer:

-17

Step-by-step explanation:

Plug in 4 for all your Xs

f(4)=3(4)-29

=12-29

=-17

Write 17% as a decimal​

Answers

0.17

yuh this is correct lol

is the point (1,-3) a solution to the system? show all your work

y>x-1
y >-x+2

Answers

Answer:

To determine if the point is a solution, substitute the x value into the right side of the inequality and compare the result with the y value of the point.

- x + 2 = - 1 + 2 = 1

Now - 3 < 1

Thus (1, - 3) is not a solution

Step-by-step explanation:

someone please help me!!

Answers

Answer:

-1/2 is the answer i think

Please help answer this as quick as possible
Ill mark brainliest

Answers

Answer:

x = -3

Step-by-step explanation:

-22 = 5x - 7

-15 = 5x

x = -3

Answer:

X=3 or -3 i am not sure which but am positive it is one of those

Step-by-step explanation:

whoever answers correctly gets brainliest

Answers

Answer: Choice 4

Step-by-step explanation:

6 was not multiplied by 3 because that would make it

un equivalent, opposite of what she's trying to do

2/3 + 3/5 = ? (Simplfy it)

Answers

Answer:

1 AND 4/19

Step-by-step explanation:

2/3=3/5

lcm=15

10/15+9/15=19/15= 1 AND 4/19

The solutions given by the quadratic formula are______
rational

A. always
B. sometimes
C. never

Answers

a is the correct answer on, The solutions given by the quadratic formula are always rational
The answer is a. always

help please thanks :))))

Answers

Answer:

19 cm

Step-by-step explanation:

The diagonals of the bases form a rectangle with sides containing A and B points.

AB is the diagonal of the formed rectangle and its length is:

AB = [tex]\sqrt{5^2 + 16^2+7^2 } = \sqrt{25 + 256+49 } = \sqrt{369} }[/tex] = 19 cm

Answer:

[tex]\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}[/tex]

19 cm

The diagonals of the bases form a rectangle with sides containing A and B points.

AB is the diagonal of the formed rectangle and its length is:

[tex]\tt AB = \sqrt{5^2 + 16^2+7^2 } = \sqrt{25 + 256+49 } = \sqrt{369} } = 19 cm [/tex]

negative 16 divided by negative 10

Answers

1.6 is the answer. I think

Answer:

the answer is 1.6

Step-by-step explanation:

when calculating a problem like negative 16 divided by negative 10, you can simply ignore the fact that they are negative numbers and divide 16 by 10 to get the answer.

been doing this for 5 days already...

Answers

Answer:

wait holy gosh dude is this about the congruence stuff? I think I can help!

ok so triangle RST is very similar to triangle ABC BECAUSE triangle RST is just dialated and or turned around it also has the lines so it must be similar or closest to 1.5 for each sides

srry if this is wrong if it is plz correct me nicely in the comments lol

solve both problems please

Answers

first one is D and second one is C

select all that apply: the quotient of 0.04 and g

Answers

Answer:

A, B, C, and F is your possible answers

The quotient of means to divide so  it could be any symbol and they could switch places when dividing.

A metalworker has a metal alloy that is 15% copper and another alloy that is 65% copper. How many kilograms of each alloy should the metalworker combine to create 50 kg of a 45% copper alloy? PLZZZ ANSWER QUICK
40 PTS!!!

Answers

Answer:

The answer is  60 kg of a 42% alloy, we'd need 24 kg of 15% copper and 36 kg of 60%

Step-by-step explanation:

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