If you add Natalie's age and Fred's age, the result is 44. If you add Fred's age to 4 times
Natalie's age, the result is 83. Write and solve a system of equations to find how old Fred and Natalie
are

Answers

Answer 1

Answer: 31, 13

Step-by-step explanation:


Related Questions

A circular tabletop is to be cut from a rectangular piece of wood that measures 1.20m by 1.80m what is the radius of the largest tabletop that could be cut?

Answers

Answer:

0.6 m

Step-by-step explanation:

From the question,

The largest table top that could be cut from a rectangular piece of wood,

will have a diameter equal to the smallest dimension of the rectangular piece of wood. As shown in the diagram attached.

 If it is cut along the biggest dimension of the rectangular piece of wood, the tabletop won't be circular, rather, it will form a sphere. So the only way the tabletop can be cut out of the rectangular piece of wood to make it circular is to cut it along the smaller dimension of the rectangular piece of wood.

Given, the dimensions of the rectangular piece of wood as 1.2 m by 1.8 m.

Then the diameter of the table top formed = 1.2 m.

but,

radius = diameter/2

radius = 1.2/2

radius = 0.6 m

Hence, the radius of the largest tabletop that could be cut out of the rectangular piece of wood is 0.6 m

Which expression is not equivalent to the other three? A: 2x + 2 + 2x + 3x - 8 B: 4 + 7x - 2 C: -2 + 5x + 2x - 4 D: 8x - x - 6

Answers

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let's look at A.

A simplified = 7x - 6

Let's look at B

B simplified = 2 + 7x

Let's look at C

C simplified = -6 + 7x OR 7x - 6

Let's look at D, lastly.

D simplified = 7x - 6

In conclusion, we can see that 7x - 6 is the answer we need to arrive at  to have equivalent expressions. Only B does not have that answer, so B is the answer.

Hope that helps!

Taylor has 5 yards of gold ribbon to decorate
8 costumes for the school play. She plans to
use the same amount of ribbon for each
costume. How many yards of ribbon will she
use for each costume?​

Answers

I believe it’s 1.6 if you divide 8/5

Is every relation also a function?

Answers

Answer:

No,

Every relation isn't a Function but every function is a relation.

please help me thanks. ​

Answers

change 3 to a fraction
1/8 divide by 3/1
multiply by the reciprocal (flip 3/1 around)
1/8 x 1/3 = 1/24

Answer:

I hope this helps you

Step-by-step explanation:

1/8 ÷ 3 = 1/8 × 1/3

= 1/24

= 0.0416666667

50 POINTS + BRAINLIEST

PLEASE DONT STEAL POINTS

Answers

Answer:

1/2 of

4/3 x

3 x

1 unit of

Step-by-step explanation:

have a nice day!

Answer:

1/2 of

4/3 x

3 x

1 unit of

half of, twice, greater than

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Consider the equation 13x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.

Answers

Answer:

x = 3

Step-by-step explanation:

13x - 2 = x + 2

12x = 4

x = 3

An electrician charges a service fee of $60 to inspect a home. If he has to
work on something he charges $25 per hour. If he charges $172.50, how
many hours did he work?

Answers

Answer:

About 4.5 hours, you can say 5 hours

Step-by-step explanation

You can solve this by constructing a linear equation, which would turn out like this, 25x+60=172.50. How I got this is that it says his charge is 25 per hour, that is basically multiplication by an unknown number, so put that as a variable. Next it says he has a service fee of 60 dollars, this is what's called an initial fee. Now all we need to do is solve for x, which turns into 4.5. I don't know if they ask to round your answer or something, I hope this is right.

60 points 90 % of my grade

Answers

Answer:

5/6 x 4 = 20/6 as simplified as 10/3 in fraction form. 5/6 x 4 = 3.3333 in decimal form.

Step-by-step explanation:

Answer:

5/6 × 4 = ?

5/6 × 4

= 5/6 × 4/1

= 5×4/6×1

= 20/6

= 10/3

= 3.33

Mr. Y gets paid $8.70 per hour. Yesterday he worked 6.5 hours. What will be his pay, assuming that he gets paid for exactly the time that he works.

Answers

Answer:

$56.55

Step-by-step explanation:

8.70*6.5=56.55

70+95 Factor the expression using the GCF

giving brainly

Answers

Answer:

70 + 95 = 5(14 + 19)

70 + 95 = 5(14 + 19)

gcf = 5

Step-by-step explanation:

70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165                                                                                                 Hope this helps! Please give me brainly!                                                                                                                                                                                                                

Please help fast this is due pretty soon and I have to go somewhere any explanation or answer would be great

Answers

don’t click the link it’s a hack

Answer:

1.2

Step-by-step explanation:

all of mr harleys class equals 400 and Ms. samuets has 393

to find the mean you add all then divide by how much you added

to 400 divided by 6 is 66.66 and 393 divided by 6 is 65.5

and 66.66

     -65.50

       1.16 and 1.16 rounded to the nearest tenth is 1.2

                             CASE CLOSED

Draw a line through the origin with a slope of 3/2

Answers

Answer:

uhhhh

Step-by-step explanation:

At a carnival game, there is a 38% probability of winning a prize. What is the probability of not winning a prize?

A) 62%
B) 76%
C) 38%
D) 50%

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 62

62 plus 38= 100

The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?
A) factor
B) simplifi
C) complete the square
D) take the square root of both sides​

Answers

Answer:

A) Factor

Step-by-step explanation:

The correct choice for the missing reason is,

⇒ Factor

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The steps for deriving the Quadratic Formula are shown.

Now, From fifth step;

⇒ x² + bx/a + b²/4a² + ----- - c/a + b² / 4a²

Hence, By factor we get;

⇒ (x + b/2a) (x + b/2a) +   ------ - c/a + b² / 4a²

So, The correct choice for the missing reason is,

⇒ Factor

Learn more about the quadratic equation visit:

brainly.com/question/1214333

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The following data represent the number of housing starts predicted for the 2nd quarter (April through June) of 2014 for a random sample of 40 economists.

984 1260 1009 992 975 993 1025 1164 1060
992 1100 942 1050 1047 1000 938 1035 1030
964 970 1061 1067 1100 1095 976 1012 1038
929 920 996 990 1095 1178 1017 980 1125
964 888 946 1004

Required:
a. Draw a histogram of the data.
b. Construct a 95 % confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014.
c. Construct a 90% confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014

Answers

Answer:

Kindly check attached picture ;

(999.494 ; 1046.056) ;

(1003.235 ; 1042.315)

Step-by-step explanation:

Given the data:

888, 920, 929, 938, 942, 946, 964, 964, 970, 975, 976, 980, 984, 990, 992, 992, 993, 996, 1000, 1004, 1009, 1012, 1017, 1025, 1030, 1035, 1038, 1047, 1050, 1060, 1061, 1067, 1095, 1095, 1100, 1100, 1125, 1164, 1178, 1260

Using calculator to obtain the mean and standard deviation :

Mean, x = 1022.775

Standard deviation, s = 75.124

Sample size, n = 40

Zcritical at 95% = 1.96

Zcritical at 90% = 1.645

Using the relation :

x ± E

E = error margin = Zcritical * s / sqrt(n)

At 95% ;

Error margin = 1.96 * 75.124/ sqrt(40) = 23.281

At 90% ;

Error margin = 1.645 * 75.124/ sqrt(40) = 19.540

Confidence interval at 95%:

(1022.775 - 23.281) ;(1022.775 + 23.281)

(999.494 ; 1046.056)

Confidence interval at 90%:

(1022.775 - 19.540) ;(1022.775 + 19.540)

(1003.235 ; 1042.315)

What is the COEFFICIENT in the expression s + 16?

Answers

8 I think I hope you get this right

Answer:

I think its 16

Step-by-step explanation:

Find the distance, c, between (–2, 4)
and (3, –1)
on the coordinate plane. Round to the nearest tenth if necessary.

Answers

Answer:

d ≈ 7.07

Steps:

d = √( (3-(-2))² + (-1-4)² )

d = √( (3+2)² + (-1-4)² )

d = √( 5² + (-5)² )

d = √( 25 + 25 )

d = √50

d ≈ 7.07

Plz can anyone help me with my homework

Answers

Answer:

GFIH

Step-by-step explanation:

You read coordinates X and then Y

(X,Y)

1. G

2. F

3. I

4. H

G A H F

i worked it out

In deenas class, 3/12 of the students voted for cats as their favorite pet, and 5/12 voted for dogs. What fraction of the class voted for cats or dogs as their favorite pet?

Answers

Answer:

8/12 or 2/3

Step-by-step explanation:

5/12+3/12=8/12

8/12 simplifies to 2/3

Help fund BFF he try herh

Answers

Answer:

The correct answer is C: 1.8 Miles

Step-by-step explanation:

please help me if you know the answer

Answers

Dependent variable is the one on the y axis. So for this problem, it’s money collected.

Given: c=58, b=15, angle B=15 degrees a= ?

a. 60
b. 52
c. 56

Answers

Answer:

c. 56

Step-by-step explanation:

To Find a= it would be opposite of angle A.

We could use trig ratios for this question.

Cos B= a/c

Cos 15= a/58

a = (cos15)(58)

a=56

The graphs below have the same shape. What is the equation of the graph of g(x)? A. g(x) = x^2 + 4
B. g(x) = x^2- 4
C. g(x) = (x - 4)^2
D. g(x) = (x + 4)^2

Answers

The given graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)². Therefore, option D is the correct answer.

What is the parabola?

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

From the graph, f(x)=x².

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (0,0)

Focus: (0,1/4)

Axis of Symmetry: x=0

Directrix: y= -1/4

In the graph we can graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)²

Therefore, option D is the correct answer.

To learn more about the parabola visit:

https://brainly.com/question/21685473.

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the manager of a school radio station is conducting a survey she wants to find out which type of music introvert how would the manager most likely get a random sample that represents the school population

Answers

Answer:

type of music students prefer. How would the manager most likely get a random sample

that represents the school population?

Step-by-step explanation:

I may or may not have given my explanation in my answer 0.0

Help plakdjdhdjdbdgggggggggrhrhtj

Answers

Answer:

Expanded forms can be written like a sentence or stacked for readability

Step-by-step explanation:

Expanded Form:

5,000 + 300 + 20 + 5 = 5,325

(its like a sentence)

Answer: 5,000 + 300 + 20 + 5 = 5,325

Brainliest if you don't mind.

many 2/3 are in 9/8?"

Answers

Answer:

1.6875   2/3's are in 9/8.

Step-by-step explanation:

(9/8)/(2/3)=1.6875

Write an equation for the polynornial graphed below
y(x) =

Answers

Answer:

ahh

Step-by-step explanation:

help help help help help

Answers

Answer:

The maximum value is (2,9) I can't really see the question well btw

Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?



$12

$10.50

$10

$8.50​

Answers

It would be $10 Sorry if i’m wrong
I believe the answer is $10!!
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For that reason, causing animals to die for science, for the sake of saving human lives, may be considered ethical to some extent if it will contribute to the advancement of science and will be to the benefit of humanity in general.Furthermore, animal rights supporters label scientists as cruel for causing animals to die in medical experiments, while they do not oppose the people, mostly farmers, who kill animals for food, even though they know that 99% of animals deaths is caused by farmers while only a small percentage, i.e. 1% is caused by scientists. The underlying reason for that is they find scientists easier to attack and cannot deal with farmers who are organized and strong.Another basic argument of animal rights defenders is that people and animals are different genetically and therefore it is useless to use animals in experiments to see the effects of some substances on people. They claim that it will make no good to use animals in experiments because they are too different to be compared to people. Some of them even assert that it is better to use people directly as they think that the results of experiments on animals cannot be valid and reliable as long as the same observation has not been done on man also. However, these people cannot foresee the disastrous results of such a practice. Many people are likely to die until a healthy result is obtained.People and animals may not be the same, but to some degree there are similarities which can at least give scientists an idea about their experiments. From this point of view, scientists are right to use animal models to provide themselves with information about what is happening at level of detail that could not be achieved in humans. 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