If you add​ Natalie's age and​ Fred's age, the result is 39 If you add​ Fred's age to 3 times​ Natalie's age, the result is 69 Write and solve a system of equations to find how old Fred and Natalie are

Answers

Answer 1

Answer:

Natalie is 15

Fred is 24

Step-by-step explanation:

You would first create equations to represent the problem. You would then solve for a variable (I chose to solve for y). I subtracted each equation from each other which helped me isolate y, which equaled 15. I then substituted y for 15 which allowed me to isolate x, which gave me 24.

(the equations)

x + y = 39

x + 3y = 69

(solving for y)

x + 3y = 69 - x + y = 39

x-x +3y -y = 69 - 39

2y = 30

y = 15

(solving for x)

x + 15 = 39

x +15 -15 = 39 -15

x = 24


Related Questions

9. a) Why does every pair of whole
a
numbers have a GCF of 1 or greater?​

Answers

Answer:

A whole number is any positive integer greater than zero and is not a fraction or a decimal. Any whole number can be divided by itself and one so therefor all pairs of whole numbers have a GCF of one. However the bigger the number the more factors it can have so the GCF of a pair of whole numbers may have a greater GCF than 1.

Step-by-step explanation:

LEGIT BEG PLEASE HELP

Answers

Answer:

help with what problem?

Step-by-step explanation:

Answer:

Sure

Step-by-step explanation:

Is it possible to draw a quadrilateral that is not a rectangle, but has at least one right angle.Explain

Answers

Answer:

Yes

Step-by-step explanation:

A trapezoid with two right angles is a quadrilateral with two right angles.  

What is the GCF of the terms of 3x⁴-9x²-12x?

Answers

Answer: The GCF of the terms of [tex]3x^4-9x^2-12x[/tex] is [tex]3x[/tex].

Step-by-step explanation:

We need to find:  GCF(Greatest common factor) of the terms of [tex]3x^4-9x^2-12x[/tex].

The greatest common factor(GCF) is the greatest factor that divides two expressions.

Here,

[tex]3x^4=3\times x \times x \times x \times x \\9x^2=3\times 3 \times x \times x\\12x=3\times 2 \times 2 \times x[/tex]

The greatest common factor of [tex]3x^4-9x^2-12x[/tex] = [tex]3x[/tex]

Hence, the GCF of the terms of [tex]3x^4-9x^2-12x[/tex] is [tex]3x[/tex].

Find the area of the figure.

Answers

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]

Area of Quarter- Circle = 1/4 x Area of Circle

[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]

Area of Rectangle at the right = Length x Width

[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]

Total Area = Area of 2 Rectangles + Area of Quarter Circle

[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

Sarah donated $920 for a new park. Sarah's brother donated $850. How much more money did Sarah donate?

Answers

Sarah 70 more money

Graph the line with slope 3 and intercept 1 X​

Answers

Plot a point at (0,-1)
Then from that point, go down 3 points, and to the right one point. Repeat that until you hit the bottom of the graph or run out of room. From the first point (0,-1), go up 3 and to the left 1 until you run out of room on the graph. Should be a straight line

Instructions: Write the equation of the line in Point-Slope Form given the information below. Hint: The y-intercept is the
coordinate point (0,b)

Slope= -6/5
Y-Intercept = 2
Point-Slope Form:

Answers

Answer:

          y - 2 = -⁶/₅x

Step-by-step explanation:

The point-slope form of the equation of the line passing point (x₁, y₁) and with the slope of m is:  y - y₁ = m(x - x₁)

m = -⁶/₅

Y-Intercept = 2  ⇒  point (0, 2)  ⇒  x₁ = 0,  y₁ = 2

Point-Slope Form:    y - 2 = -⁶/₅(x - 0)

Finish the song:
Good little girl....
Always picking a fight with me~
You know that I'm bad!
But you're spending the night with me....
What do you want from my world?
You're a good little girl♪♪♪

Answers

Answer:

Bad little boy

That's what you're acting like

I really don't buy

That you're that kind of guy

And if you are

Why do you want to hang out with me?

Step-by-step explanation:

i had to look in the internet hehe click the ❤️

please

Greyson and Preston have a piece of paper that is 10 inches by 9 inches. What is the area of the paper?

Answers

Answer:

90

Step-by-step explanation:


Does anyone know this

Answers

Answer:

I belive the answer is A

Step-by-step explanation:

So any answer with 22t would make sense, so you have A and C. In C though, it is subtracting 22, but since 6195 is the total it would have to include the 22 so it is A.

YALL PLEASE HELP, need to turn this in ASAP

Answers

Answer:

I believe the answer is 1,800 :)

Step-by-step explanation:

1,500x0.20=300+1,500=1,800

Hope this helped!

A triangle has sides with lengths of 14 feet, 48 feet, and 50 feet. Is it a right triangle?

Answers

Answer:

Yes, it is a right triangle

Step-by-step explanation:

Answer: Yes it is

Note that a right triangle is a triangle with a right angle.

Please Help, GodBless

Answers

Answer:

-3/2

Step-by-step explanation:

The rate of change is the same as slope

Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total
order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price
she paid for the shirt (including the cost of shipping).
For what price does she sell each T-shirt?

Answers

Answer:

$7.35

Step-by-step explanation:

We have 200 shirts

Cost $2.80 each

plus a 5% charge for shipping.

Selling price

150% markup

Recall when we use percentages, we need to express them as decimals.

Michelle's cost for each shirt was

2.80 (1.05) = 2.94

The markup is

2.94 (1.50) = 4.41

The markup is added to the cost to get the final selling price.

2.94 + 4.41 = $7.35

Michelle will sell each shirt for $7.35

pls help question is on picture

Answers

Answer:

9/15 = 3/5 (simplified)

Step-by-step explanation:

In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:

[tex]\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is the side that makes up the angle but is not the hypotenuse.

I'm assuming the answer box should ask for cos(theta) rather than cos(x).

A restaurant used 231 eggs last week. 46 of them are colored white, w. The remaining eggs are colored brown. Write an equation that represents the situation. ( i will give you brainly)

Answers

Answer:

46 + W = 231

Step-by-step explanation:

Answer:

My guess: 231 = 46 + b

Step-by-step explanation: Because they didn't mention how many were colored brown, we would use a variable to represent them, in this case I use b. But we do know 46 of them were white. so the equation would simply be 231 = 46 + b. After you add 46 and b you will get the total to 231. You can find b from subtracting 231 to 46. Then add b to 46 and get the total of 231

Adrian can purchase an 11-pound item from several different sellers. Which is the best buy?
1. Buy online for $50 plus pay shipping and handling costs of $0.89 per pound.
2. Buy online for $57 plus pay shipping and handling costs of $0.49 per pound.
3. But at a local store where the price is $60 and use a $5-off coupon.
4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Answers

Answer:

4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Step-by-step explanation:

For the sake of someone needing help present time this is how you do it;

1st- 50 + (.89 x 11) = 59.79

2nd- 57 + (.49 x 11) = 62.39

3rd- 60 - 5 = 55

4th- 58 - 10% or 58 x .10 = 52.2: Lowest Answer

5 in = ___________ ft *Write your answers like this: whole number, one space, numerator, /, denominator. Example: 1 1/2 * PLEASE AWNSER FAST <3

Answers

Answer:

0.416667 ft

Step-by-step explanation:

need help with this one also

Answers

Answer:

scale factor 3 is the answer.

Step-by-step explanation:

Length = 18 in

Breadth = 3 in

height = 10 in

Volume of cuboid = l × b × h

V = 18 × 3 × 10

V = 540 in³

540 in³ is the original volume. The volume needs to be tripled, so multiply the original volume with 3

V = 540 × 3 = 1620 in³

∴ 1620 in³ will be the new volume if it's tripled and the scale factor is 3.

Write a question that matches this equation:


45-n=15

Answers

Answer:

ayla had 45 cupcakes for the class jayla gave a number out to the cladd Jayla took 15 cupcakes back home what is the does n equal to

Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225.90. Vince has saved $122.35. He used this solution to determine how much more he needs to save.

225.90 less-than-or-equal-to 122.35 + a. 225.90 minus 122.35 less-than-or-equal-to 122.35 minus 122.35 + a. 103.55 less-than-or-equal-to a.

Vince says that based on the solution, he should save a maximum of $103.55.

Is Vince correct?
Vince is correct because he found the correct solution to the inequality.
Vince is correct because he should save at least $103.55.
Vince is not correct because he wrote the wrong inequality to represent the situation.
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Answers

Answer:

Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Step-by-step explanation:my

my sister which is in college helped me with one.

Answer: its D

Step-by-step explanation:

Mario paid $44.25 in taxi fare from the hotel to
the airport. The cab charged $2.25 for the first
mile plus $3.50 for each additional mile. How
many miles was it from the hotel to the airport?
A. 10
B. 11
C. 12
D. 13

Answers

Answer:

C. 12

hope they help

first mile $2.25 plus $3.50 ×12= $42.00+2.25=44.25

how do I write an equation for a quadratic function represented by a table ?​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Firstly,select three ordered pairs from the table. Secondly,substitute the first pair of values in to the form of the quadratic equation: f(x) = ax^2 + bx + c and then solve for a.

hope this helps,have a great day!!

~Pinky~

Which linear equation represents Catherine’s situation?

Answers

Answer:

y=1/9x+104

Step-by-step explanation:

I REALLY hope this helps

Sorry if im wrong

Best of luck!

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

If Then proof has been explained below!

Step-by-step explanation:

1.) If segment XY ║ ZW, then the 154° angle ≅ ∠2 (vertical angles)

2.) If segment XY ║ ZW, then ∠2 is complementary to ∠4

3.) If ∠2 is complementary to ∠4, then ∠4 = 28°

I hope this helps! If you have any questions, feel free to add it into the comments and please rate my answer and consider marking as brainliest!

HELPPP PLEASEEEE
enter the value that makes the equation 1/4(12x-8)+2x=-17

Answers

Answer:

x = -3

Step-by-step explanation:

1/4(12x - 8) + 2x = -17

3x - 2 + 2x = -17

3x + 2x = -17 + 2

5x = -15

5x ÷ 5 = -15 ÷ 5

x = -3

What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
O (4.18)
O (0,-2)
O (-8,-2)
0 (4-18)

Answers

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = [tex]ax^{2} +bx +c[/tex]

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = [tex]x^{2} +8x - 2[/tex]   a = 2 and b = 8

So, h =  -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = ([tex]-4^{2}[/tex]) + 8(-4) - 2

  = (16) - 32 - 2

  = 16 - 32 - 2

  = -18

Vertex is (-4, -18)

Note:  Another way to find the vertex is to complete the square, but this can really be difficult in some cases

Answer:

Option D, (-4,-18)

Step-by-step explanation:

got it right on edge

Timothy wanted to get some exercise. He walked 12 blocks in 10 minutes. What was his average speed of his walk?

Answers

Average speed: distance/time
12 blocks/10 minutes = 1.2 blocks per minute

Answer: 1.2 blocks

Step-by-step explanation:

Timothy walks 12 blocks in 10 minutes so it can be written as

12 blocks = 10 minutes

divide both sides by 10

1.2 blocks per minute

54 out of the 72 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in The meeting were first-year Teachers? ​

Answers

Answer:

75%

Step-by-step explanation:

54/72 = 0.75

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