If you add​ Natalie's age and​ Fred's age, the result is 42 . If you add​ Fred's age to 4 times​ Natalie's age, the result is 84 . Write and solve a system of equations to find how old Fred and Natalie are

Answer:

6:1 and 12:2. cuz if u multiply each, you will eventually get 24:4

Step-by-step explanation:

If the result of the two ratios are same, then they are said to be equivalent ratio.

The ratio which is equivalent to the given ratio are 6:1 and 12:2. Thus the option A and C is the correct option.

Equivalent ratio is the ratio which is same in the value as the original ratio but the numerator and denominator is different for both the ratios.

Given information-

The ratio given in the problem is,

[tex]24:4[/tex]

Let r is the ratio, then it can be written as,

[tex]r=\dfrac{24}{4}\\[/tex]

Simplify it,

[tex]r=\dfrac{6}{1}[/tex]

[tex]r=6:1[/tex]

Check all the options which is equivalent to the ratio 6:1.

[tex]6:1[/tex]

Which is equal tot he given ratio. Thus the option A is correct option.

[tex]8:4[/tex]

Let r is the ratio, then it can be written as,

[tex]r=\dfrac{8}{4}\\[/tex]

Simplify it,

[tex]r=\dfrac{2}{1}[/tex]

[tex]r=2:1[/tex]

Which is not equal to the given ratio. Thus the option B is incorrect option.

[tex]12:2[/tex]

Let r is the ratio, then it can be written as,

[tex]r=\dfrac{12}{2}\\[/tex]

Simplify it,

[tex]r=\dfrac{6}{1}[/tex]

[tex]r=6:1[/tex]

Which is equal to the given ratio. Thus the option C is correct option.

[tex]15:3[/tex]

Let r is the ratio, then it can be written as,

[tex]r=\dfrac{15}{3}\\[/tex]

Simplify it,

[tex]r=\dfrac{5}{1}[/tex]

[tex]r=5:1[/tex]

Which is not equal to the given ratio. Thus the option D incorrect option.

Hence the ratio which is equivalent to the given ratio are 6:1 and 12:2. Thus the option A and C is the correct option.

Learn more about the equivalent ratio here;

https://brainly.com/question/2914376

Answer:

The answer is C!!! blah blah blah 20 characters long

The statement that describes the expression would be:

C). 6 times the value of 34,937 + 412.

An expression is characterized as the placement or sequence in which the symbols are arranged to represent values in a group.

Given that,

Expression = 6 × (34,937 + 412)

The correct way to represent it would be:

6 times the sum produced by adding the numbers 34,937 and 412.

Thus, option B is the correct answer.

Learn more about "Expression" here:

brainly.com/question/13947055

Hayden will have to drive for approximately 7 days to save enough money to buy the laptop.

Given:

Daily base pay = $200

Earnings per mile driven = $0.25

Cost of the laptop = $1800

Average miles driven per day = 300

The basic arithmetic operations have been used to solve this question

1. Calculating the total earnings per day.

Total earnings per day = Daily base pay + (Earnings per mile driven × Average miles driven per day)

Total earnings per day = $200 + ($0.25 × 300)

Total earnings per day = $200 + $75

Total earnings per day = $275

2. Determining the number of days required to save enough money for the laptop.

Number of days = Cost of the laptop ÷ Total earnings per day

Number of days = $1800 ÷ $275

Number of days ≈ 6.545 (rounded to the nearest whole number)

Therefore, Hayden will have to drive for approximately 7 days to save enough money to buy the laptop.

Learn more about basic arithmetic operations at

https://brainly.com/question/30553381

Answer:

No

Step-by-step explanation:

If the person only ordering one hotdog which is 1.50 dollars why should they have to pay 3 dollars

Answer:

[tex]4^{18}[/tex]

Step-by-step explanation:

[tex]4^{6+3+9} \\= 4^{18}[/tex]

Answer:

[tex] 4^{18} [/tex]

Step-by-step explanation:

You are multiplying 3 powers with the same base.

Write the same base and add the exponents.

[tex] 4^6 \times 4^3 \times 4^9 = 4^{6 + 3 + 9} = 4^{18} [/tex]

Answer: 87ft

Step-by-step explanation:

14.5*10= 145

145*60%= 145*.60= 87

I hope i am correct, sorry if i am wrong. pls let me know if i was right or wrong.

Answer:

0,75⇔75% (m)

35% (s)

75%+35%=110%

110%-100%=10% (m+s)

75%-10%=65% (only m)

60-100%

(?)-65%

65*60:100=39 (stud.)

Answer:

3+2+2-1+2=8

Step-by-step explanation:

Hope this helps!

Answer:

its 11/4.5

Step-by-step explanation:

Answer:

The cost of one cupcake for Option B is 2.75

Step-by-step explanation:

66 ÷24=2.75

Answer:

105

Step-by-step explanation:

Answer:y = 1.5x + 4.0

Step-by-step explanation:

This is because the equation relates the distance traveled (y) to the time elapsed (x) through a linear relationship with a slope of 1.5, which represents the object's speed in meters per second, and a y-intercept of 4.0 meters, which represents the initial position of the object at time zero.

I'm pretty sure.

The equation that describes the motion of the object is y = 2x (option a)

Let's calculate the slope (m) using the values from the table. We take any two points (x₁, y₁) and (x₂, y₂) from the table:

(x₁, y₁) = (1, 2.0)

(x₂, y₂) = (5, 10.0)

The slope (m) is given by:

m = (y₂ - y₁) / (x₂ - x₁)

m = (10.0 - 2.0) / (5 - 1)

m = 8.0 / 4

m = 2.0

Now that we have the slope (m), we can determine the equation:

y = mx + b

Using one of the points from the table (1, 2.0) and the calculated slope (m = 2.0), we can solve for the y-intercept (b):

2.0 = 2.0 * 1 + b

2.0 = 2.0 + b

b = 2.0 - 2.0

b = 0

So, the Answer is option (a) y = 2x

To know more about equation here

https://brainly.com/question/21835898

#SPJ2

H.

Step-by-step explanation:

Answer: H.

Step-by-step explanation: 2 x 4= 8 and 12/2 = 6

Answer:

5/2 x 1/2

Step-by-step explanation:

5/2 x 1/2 = 5/4 or 1 1/4

Answer:

The second one

Step-by-step explanation:

Hope this helps!

:)))))

Answer:

4 neides on each team,

Step-by-step explanation:

Answer:

Step-by-step explanation:

You put the 4 niedes in every team

Answer:

B

Step-by-step explanation:

B is the only one that makes sense

Hope that helps

Answer:

F. Last season median was 2, this season median was 5

G. The range last season and this season are the same: 8

H. This season was Paula's best.  Her median score per game was 5, and she scored as many as 9 points in a game. (If you've discussed mean and mode in class, here's more info) Her mean score (average score) last season was 3.41, and this season was 5. Also, her mode (score she recorded most often) this season was 5, compared to last season's mode of 2.

Step-by-step explanation:

Last season data set:

0, 1, 1, 2, 2, 2, 2, 4, 5, 7, 7, 8

median: 2

range: 8 - 0 = 8

mean: 3.41 points per game

mode: 2 points per game

This season data set:

1, 2, 2, 3, 5, 5, 5, 5, 7, 8, 8, 9

median: 5

range: 9 - 1 = 8

mean: 5

mode: 5 points per game

Let me know if you have any questions.

Answer:

1600m  (1 mile)

Step-by-step explanation:

400 / 15 * 60

400 meters in 15 minutes, so divide it by 15 to get the value for 1 minute, and multippy by 60 :)))

Answer:

18 hours and 30 minutes. Or 18 and a half hours

Step-by-step explanation:

Answer:

18.5 or 18 and a half hours or 18 hours and 30 mins

Step-by-step explanation:

Answer:

4 Square

Step-by-step explanation:

Answer: 31y+21

Step-by-step explanation:

10 and 11 are the only like terms, so combine them.

10+11=21

Answer:

A. 1/2 x 14 x 57

Step-by-step explanation:

The formula for the area of a triangle is base x height x 1/2

To calculate the base you would need to add the two numbers on the bottom of the triangle: 20 + 37 = 57

The photo shows that the height is 14 so it would be

1/2 x 14 x 57

Formula of area of triangle-1/2

The base is 20+37 =57

so the answer is 1/2*57*14

Answer:

The slop is 3/2 as a fraction. So 3 over 2

Step-by-step explanation:

so first you get to point that are on the line and then you see how far apart they are from each other using y and x coordanites.