If you add Natalie's age and Fred's age, the result is 42. If you add Fred's age to 3 times
Natalie's age, the result is 70. Write and solve a system of equations to find how old Fred and
Natalie are.

Answers

Answer 1

Answer:

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Step-by-step explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.


Related Questions

please answer ill give brainliest to the first


Ben recorded the number of customers who shopped at his pet store every day for one week. The results are shown below.42, 35, 56, 29, 42, 39, 23. What is the mean number of customers who shopped at the pet store?


(A)33

(B)38

(C)39

(D)42

Answers

A Correct ~~~~~~~~~~~~~~~~~~~~~~

I want to know the AWNSER to 71.77x6.1

Answers

The exact answer is: 437.797

PLEASE HELP ASAPPP ILL MARK BRAINLY IF CORRECT

Answers

Answer:

I don't really understand this problem from the picture but here is some tips-

Step-by-step explanation:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.

Use the picture attached. Sorry for not answering the exact question!

Can I get brainliest?

Find the missing length. The triangles in each pair are similar.

Answers

Answer:

Step-by-step explanation:

This a not so simple ratio problem:

     MN is to LN as TN is to UN as MT is to LU

     MN/LN    =   TN/UN    =   MT/ LU         trying to find LU

     88 / (? + 32)   =  (88-56)/32   = 56/?

                            =     32 / 32   = 56 / ?        

                                   1  =  56 / ?  

                                   ?  = 56  

     88 / (56 +32)  = 1      This must be an Isosceles triangle and UT bisects

                                       LN and MN

.Distribute and combine like terms: −4(7r + 7)

Answers

Answer:

−28r−28

Step-by-step explanation:

−4(7r+7)

=(−4)(7r+7)

=(−4)(7r)+(−4)(7)

Which galaxy is the farthest from Earth?
galaxy a
galaxy b
galaxy c
galaxy d​

Answers

Galaxy c is the farthest

Answer: Galaxy c is the farthest

Step-by-step explanation:

Nancy wants to put up a fence around
a rectangular garden. The garden
measures 12 feet by 18 feet. How
much fencing material is needed?

A30 feet
B 108 feet
C 60 feet
D 216 feet

Answers

Answer:

if you are doing times then it would be 216 feet

Step-by-step explanation:

18 x 12 equals 216 I hope it helped

Find the surface area of each figure. Round to the hundredths place when necessary.​

Answers

Answer:

SA = 997.88 mm²

Step-by-step explanation:

height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36

height = √243.36 = 15.6

SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)

SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²

if the sum of roots of the quadratic equation x^(2)-3kx-(k+2)=0 is equal to the product of roots,find k

Answers

Answer:

1/2

Step-by-step explanation:

quadratic equation is ax²+bx+c=0

Products of roots is c/a

Sum of roots is -b/a

On comparing the above equation with general equation we have

a=1

b=-(3k)

c=-(k+2)

Now it is given that sum of roots and product of roots is equal

So,

-b/a=c/a

-b=c

-[-(3k)]=-(k+2)

3k=-k-2

3k+k=-2

4k=-2

k=-1/2


Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is
$5.00 and a small lemonade is $2.00.

The expression represents 50%
of the money he collects

.0.50(5l + 2s)

Use the Distributive Property to expand the expression.

Answers

Answer:

.5(5I)+.5(2s)

Step-by-step explanation:

Find the measure of angle YUV

Answers

Answer: 77 degrees

Step-by-step explanation:

When looking at an arc, you use the inscribed angle theorem, which states that the measure of an inscribed angle is half of the measure of its interpreted arc. So since the measure of the arc is 154 degrees, you divide that by 2 and that will give you the measure of the angle, which is 77 degrees.

Chuck left his house to ride his bike in a path like the right triangle
shown. How many total miles did Chuck ride his bike?

Answers

It would be 10 miles since we use Pythagorean Theorem

6. Monique is making an ottoman for her living room. She covers the top of the ottoman with fabric. How much surface would she need to stain, if she stains the sides of the ottoman (excluding the bottom)?

Answers

I believe she would need to stain 548 inches of the surface.

Excluding the top and bottom, you are left with two panels that are 10 by 7.4, and two panels that are10 by 20, so

10•7.4= 74•2 =148
10•20= 200•2 =400
148 + 400= 548

Please correct me if I am wrong, have a good day!

Graph the points (0, -2), (4, 0) and (2, 0). If you want to create a parallelogram, which of the following points should be used for the fourth point?
(-1, 0)
(4, 4)
(2, -2)
(-4, 0)

Answers

Answer:

Try using GeoGebra it can help you!

Step-by-step explanation:

Answer:

the answer is (2,-2)

Step-by-step explanation: i just took the test

HELP ME PLEASE
Find the Volume of each cylinder. Round to the nearest tenth

Answers

471.2

The 10 is the diameter and you need the radius to do it so you do diameter dived by 2 which gives you the radius then you the radius to the power of 2

so the formula would be (3.14)(5)²(6)

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you please I beg you no n no no no link

Answers

Answer:

question 1 = -4,-2

question 2= you already did it

question 3= do 56+672

question 4= 24 gallons

question 5=28 miles per gallon.

Step-by-step explanation:

to answer this we simply have to divide the miles driven by Chad (308 miles ) by the number of gallons used (11 gallons). Chad's car gets 28 miles per gallon.

hope this helped :b

Is it congruent SSS or Congruent ASA

Answers

It wouldn’t be SSS cause not all of the sides are the same so congruent asa?

This app is so bad nowadays. No one answers your questions and if they do they respond with useless links...

Answers

Answer:

I know. It's a pain. I just put tons of points on and that seems to attract people.

Step-by-step explanation:

a line has a slope of 1 and 1 and a y-intercept of -15. what is its equation in slope intercept 6​

Answers

Answer:

y = x -15

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:  12.5 CC

Step-by-step explanation:

V=1/3Bh where B is the area of the base and h is the height

The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225

V=1/3(4.6225)(8.1)=12.5cc

Two students, Jason and Hannah, line up one behind the other. How many different ways can they stand in line?

Answers

Answer:

2

Step-by-step explanation:

Help???? I can’t figure this out

Answers

Answer:

a. 1/Y

Step-by-step explanation:

sin=opposite/hypotenuse

sin t = 1/Y

Please help me out 5 points the first person

Answers

Answer:

(6,5) is an ordered pair to this question.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

1st we have to go right to the origin 6

x=6

then up to 5

y=5

According to the question,

coordinate

=(x,y)=(6,5)

which pair of polygons is similar

Answers

Answer:

Step-by-step explanation:

c. trust me im right

Claire has 8 cards: 4 red cards and 4 blue cards. She draws 3 cards from the set at random. What is the probability that all 3 cards are red?

Answers

Answer: 1/14 assuming cards are nut returned back in deck

Step-by-step explanation: first is red P(1. R) = 4/8 = 1/2

Second red P(2. R) = 3/7 and P(3. R) = 2/6 = 1/3.

Multiply probabilities , you get 1/14

Answer:

4/56 simplified is 1/14

Step-by-step explanation:

nCr(8,3) = 56

4 (the number of red cards there are) / 56 = 1/14

What is the area of a circle with a radius of 3 cm

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

A ≈ 28.27cm²

Hope it helps!

Mark me brainliest pls......

Follow me! :)

Answer:

28.26

Step-by-step explanation:

Area of a circle:

A = πr²

A = 3.14(3²)

A = 3.14(9)

A = 28.26

Michael has a new job and earns a salary of $27,000. Jackie has a new job and earns a salary
of $36,000. Michael will receive a salary increase of $3,200 per year, and Jackie will receive a
salary increase of $2,100 per year
Which equation can be used to find x, the number of years it will take Michael to earn the same
salary as Jackie?
A. 27,000x + 3,200x = 36,000x + 2,100x
B. 27,000x + 3,200 = 36,000x + 2,100
C. 27,000x + 3,200x = 36,000x + 2,100
D. 27,000 + 3,200x = 36,000+ 2,100x

Answers

Answer:

its D

Step-by-step explanation:


16. April Atherton is an accounting clerk with an annual salary of $22,500. Her benefits include $834 for
vacation, $1,300 for health insurance, $1,035 for unemployment insurance, $1,395 for Social Security, and
$326 for Medicare. What is the rate of benefits?
a. 32.9%
c. 42.8%
b. 21.7%
d22.8%

Answers

Answer:B: 42.8%

Step-by-step explanation:because if you subtract all the money she used from the salary she will still have most of her money and I did the math and I got 42.8%

HELP MEEEEEEEEEEEE 3.0

Answers

Answer:

I think that J would be the answer , It is more reliable than the left ones .

Hope it was helpful , good luck ^^

J would be the correct answer

Combine like terms.

4n + 11 − 2n − 5

Answers

Hey there!

4n + 11 - 2n - 5

COMBINE the LIKE TERMS

= (4n - 2n) + (11 - 5)

= 4n - 2n + 11 - 5

= 2n + 6


Therefore, your answer should be:

2n + 6


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

[tex] \sf \: 2n + 6[/tex]

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

Main steps included in solving,

→ Rearranging the expression.

→ Combining the like terms.

The expression is,

→ 4n + 11 - 2n - 5

Let's simplify the expression,

→ 4n + 11 - 2n - 5

→ (4n - 2n) + (11 - 5)

→ (2n) + (6)

→ 2n + 6

Hence, the answer is 2n + 6.

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