Joseph, Maria and Rebecca each win a prize.
Their total prize money is $30.
Joseph wins 7/12 of the $30.
Maria wins 30% of the $30.
Rebecca wins the rest of the $30.
Calculate the amount each receives.​

Answers

Answer 1

Answer:

           Joseph:  $ 17.5 ;  Maria:  $ 9 ;  Rebecca:  $ 3.5

Step-by-step explanation:

Joseph:      [tex]\frac7{12}\cdot30=\frac72\cdot5=\frac{35}2=\$\,17.5[/tex]

Maria:      [tex]30\%\cdot30=0.3\cdot30=\$\,9[/tex]

Rebecca:  30 - 17.5 - 9 = $ 3.5


Related Questions

Which statement is true about this set of data?
43, 50, 60, 36, 47, 50, 52, 78

A. The range is 31.
B. The mode is 78
C. The median is 51
D. The mean is 52.​

Answers

Answer:

D. The mean is 52.

Step-by-step explanation:

In order to find the mean, you add up all of the numbers and then divide that answer by how many numbers there are.

43+50+60+36+47+52+78=416

416/8=52

Answer:

D. The mean is 52.

Step-by-step explanation:

Add all numbers in the set:

36+47+50+50+52+60+78= 416

Now, divide the sum by how many numbers are in the set; in this case, there are 8 numbers so:

416÷ 8= 52

simplify (6^7)^3
a.(1/6) ^ 21
b . 6^21
c. 42^3
d. 6^10

Answers

Answer:

B is the answer.

Step-by-step explanation:

Use power rule: (x^a)^b = x^ab.

[tex] {6}^{21} [/tex]

Answer:

b. 6²¹

Step-by-step explanation:

(6⁷)³=(6³)⁷===> 6²¹

High Voltage Gymnasium holds a contest to see who can climb a rock wall the fastest. The table below shows a climber's time in minutes, , and how high up the wall she climbed, in feet, , at different points of her climb.





Assume that the climber climbed the wall at a constant rate. Write an equation that relates and .

Answers

Answer: yes

Step-by-step explanation: think about it

If a triangle has angle measurements of 15 degrees and 90 degrees what is the measure of the third angle

Answers

180 is the total for any triangle, therefore if you take 180-90-15, you’ll get 75 remaining; 75 being your third angle.
The sum of the 3 angles of a triangle is 180. You’re given the angle measure of 90, 180-90=90. You’re also given a measure of 15, 90-15=75. the third and last angle of that triangle has a measure of 75 degrees

On a chilly afternoon in New Jersey, the temperature was 4 degrees Fahrenheit. By nightfall, the temperature dropped 9 degrees Fahrenheit. What is the temperature at nightfall in degrees of Fahrenheit?

Answers

Answer:

negative 5

Step-by-step explanation:

4-9= -5

people on this site are strange, points for whatever strange person needs them, its a life changer yes i know you welcome.

Answers

Answer:

lol fr im failing math i need help

Step-by-step explanation:

Answer:

Thanks

Step-by-step explanation:

yuh

A fair coin is tossed 14 times. What is the probability of obtaining exactly 1 head? (Enter your answer as a reduced fraction or a decimal rounded to 4 places.)

Answers

Answer:

0.0009 probability of obtaining exactly 1 head

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is a head, or it is not. The probability of a toss being a head is independent of any other toss. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A fair coin is tossed 14 times.

Fair coin means that it is equally as likely to be heads or tails, so [tex]p = 0.5[/tex]

14 times means that [tex]n = 14[/tex]

What is the probability of obtaining exactly 1 head?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.0009[/tex]

0.0009 probability of obtaining exactly 1 head

Urgent! 30 points and will give 5 star review for correct answers!!

1) Write the equation of the parabola that has x-intercepts at the points (6,0) and (-2,0) is flipped vertically and is stretched by a factor of 4

2) Write the equation of the parabola that has x-intercept at the points (-3.0) and (0,0) and is flipped vertically

Answers

Answer:

1) Write the equation of the parabola that has x-intercepts at the points (6,0) and (-2,0) is flipped vertically and is stretched by a factor of 4

Step-by-step explanation:

(50 POINTS) Math Inverse Functions please help

Answers

Answer:

See below.

Step-by-step explanation:

An inverse function has the x and y coordinates switched. For example, if a function has point (1, 3), then the inverse function has point (3, 1).

Let's find the ordered pairs of the inverse function. We take all the ordered pairs of the original function:

(1, 3), (7, 4), (8, 6), (9, y)

Now we switch x and y in each ordered pair to come up with the inverse function.

The inverse function has these ordered pairs:

(3, 1), (4, 7), (6, 8), (y, 9)

For a relation to be a function, a value used as an x-coordinate can appear only once.

The last ordered pair is (y, 9). For the inverse relation to be a function, y cannot be 3, 4, or 6.

Answer:

inverse of ordered pair (1,3),(7,4),(8,6)and (9,y)

is (3,1),(4,7),(6,8)and(y,9)

restriction is

y≠3,4&8

can someone solve this? (x+2)2+y2=25

Answers

Answer:

x wouild equal

ywould equal

Step-by-step explanation:

eqaution

The graph below is an example of which type of function? On a coordinate plane, a function decreases, has a point of inflection, and then continues to decrease. quadratic linear cubic square root

Answers

Answer: its cubic

Step-by-step explanation:

The graph below is an example of a cubic type of function. Option C is correct.

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

1. A parabola is the graph of a quadratic function. As a result, the presented graph is not a quadratic function graph.

2. A straight line is represented by a linear function. As a result, the presented graph is not a linear function graph.

3. A cubic function's end behavior is opposite at both ends. We can see that the presented graph satisfies these requirements.

4. A square root function's graph resembles a half parabola. As a result, it can't be the graph of the square root function.

The graph below is an example of a cubic type of function.

Hence,option C is correct.

To learn more about the function refer:

https://brainly.com/question/5245372

#SPJ2

Three men working together can finish a house repair job in 10 days. How manydays will 5 men working at the same rate finish the same job? *

Answers

Answer:

17 days

Step-by-step explanation:

Number of days in which 3 men can finish a house repair job = 10 days

Number of days in which 1 man can finish a house repair job = [tex]\frac{10}{3}[/tex] days

Therefore,

Number of days in which 5 men can finish a house repair job = Number of days in which 1 man can finish a house repair job × 5

[tex]=\frac{10}{3}(5)=\frac{50}{3}=16.6[/tex] ≈ 17 days

Consider the barn shown below. Assume that the barn has no floor. Part A: What is the volume of the barn?Part B: What is the surface area of the barn?
Offering 20 brain pts!!!

Answers

Answer:

the volume is Pie X Y^-3= 6 + 7/2 which means the surface area is half of Pie/12

Step-by-step explanation:

i don't know there's no picture

can somone pls help me asap

Answers

Answer: 10 + 10 + 5 + 5 + 20 + 20 + 25 + (25 - 10) = 110

Step-by-step explanation:

I think this is correct

Line parallel to y= -2 + 7

Answers

Answer:

So, equation y=7 is parallel to x-axis. A line parallel to X axis. x axis because it is the same thing as y=0x+7 or y=7, therefore y intercept is 7 and slope is 0.

Step-by-step explanation:

question:2x²-5x+3
answer:​

Answers

(x-1)(2x-3) OR x= 3/2, 1

Select the correct answer.
Find the solution(s) for x in the equation below.
x(x - 1) = 42
А. x = -7; x = -6
B. x = 7; x = 6
C. x = 7; x = -6
D. x = 6

Answers

Answer:

7 and -6   (corresponding to Answer C)

Step-by-step explanation:

Solve x(x - 1) = 42 for x.  

To do this, first perform the indicated multiplication and then rearrange the terms in standard quadratic function order:

x^2 - x - 42 = 0

Factoring yields (x - 7)(x + 6) = 0,

leadng to roots 7 and -6   (corresponding to Answer C)

WILLL GIVE BRANLIEST PLSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

100°

Step-by-step explanation:

If my calculations are correct, I suppose the final answer will be 100 degrees.

If you see it, It's clearly mirrored.

What are the two solutions to f(x)=g(x) when f(x)=x^2+3 and g(x)=-x+9

Answers

Answer:

x = -3, x = 2

Step-by-step explanation:

x² + 3 = -x + 9

x² + x - 6 = 0

(x+3)(x-2) = 0

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain your reasoning.

Answers

Answer:

20 days

Step-by-step explanation:

Subtract 1.5 gallons from 14 gallons to obtain the number of days the car will run without the warning light going on:  12.5 gallons.

Dividing this result by 0.6 gallons/day, we get

 12.5 gal

------------------- = 20.82 days.  Round this down to 20 days.  (We're not

 0.6 gal/day                                dealing in partial days.)

Answer:

2

Step-by-step explanation:

PLEASE HELP
select all that apply
ANSWER CHOICES:
1. (-3.5.5)
2. (-1,-2)
3. (0,4)
4. (5,-8)
5. (6, 3/2)​

Answers

Answer:

it is 1 I agree

Step-by-step explanation:

I don't know tho

HELP PLEASE!! Identify Structure What linear expression would you need to subtract from (5x+3) to have a difference of −x ?

Answers

Answer:

Expression that is to be deducted will be (6x + 3).

Step-by-step explanation:

Let the linear expression that is to be subtracted from the given expression (5x + 3) is (ax + b).

After subtracting (ax + b) from (5x + 3) the remainder is (-x)

(5x + 3) - (ax + b) = -x

(5x - ax) + (3 - b) = -x

(5 - a)x + (3 - b) = -x

By comparing coefficients,

(5 - a) = -1

a = 5 + 1

a = 6

(3 - b) = 0

b = 3

Therefore, expression that is to be deducted from (5x + 3) will be (6x + 3).

what is a equivalent to (3x+4)(3x+4)​

Answers

Answer:

9 x^2 + 24 x + 16 or (3 x + 4)^2

Step-by-step explanation:

Simplify the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

Answer: |

| (3 x + 4)^2

or

Expand the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

(3 x + 4)^2

(3 x + 4) (3 x + 4) = (3 x) (3 x) + (3 x) (4) + (4) (3 x) + (4) (4):

3 3 x x + 4 3 x + 4 3 x + 4 4

3 x×3 x = 3×3 x^2:

9 x^2 + 4 3 x + 4 3 x + 4 4

3×3 = 9:

9 x^2 + 4 3 x + 4 3 x + 4 4

4×3 = 12:

9 x^2 + 4 3 x + 12 x + 4 4

4×3 = 12:

9 x^2 + 12 x + 12 x + 4 4

4×4 = 16:

9 x^2 + 12 x + 12 x + 16

Grouping like terms, 9 x^2 + 12 x + 12 x + 16 = 9 x^2 + (12 x + 12 x) + 16:

9 x^2 + (12 x + 12 x) + 16

12 x + 12 x = 24 x:

Answer: |

| 9 x^2 + 24 x + 16

Answer:

80

Step-by-step explanation:

so 77 but you round it to 80 (sorry i dont know how to explain it that well but its 80)

Anders flips two coins. Explain why the probability of two heads is 1/4

Answers

Answer:

If anders flips one coin, he has a 1/2 chance of heads.

if he flips two, he has to get to heads, which the chances are 1/2 and 1/2

So multiply 1/2*1/2

you get 1/4

Please answer this. I would greatly appreciate it
No links, no fake answers or your getting reported.

Answers

Answer:

The length of the side TU is approximately 29.9 feet long.

Step-by-step explanation:

There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that [tex]\frac{sin(90^{o})}{x} =\frac{sin(42^{o})}{20}[/tex] ⇒ [tex]\frac{x}{sin(90^{o})} = \frac{20}{sin(42^{o})}[/tex] ⇒ [tex]x=\frac{20*sin(90^o)}{sin(42^{o})}[/tex] ⇒ [tex]x=29.9ft.[/tex]

HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP

A. Only the location of the 3rd quartile will change in the new plot.
B. The 1st, 2nd, and 3rd quartiles will change in the new plot.
C. The locations of both whiskers will change in the new plot.
D. The left whisker and the 1st and 3rd quartiles will change in the new plot.

Answers

Is that a act kkkkkkkkkkkkkkkkkkkkkkkk

Which is the graph of y = – 3?

Answers

Answer:

this should be the graph.

Step-by-step explanation:

I hope this helps.

Help pleaseee ill give brainliest will report if not an answer

Answers

Step-by-step explanation:

.............,.,.,.,.,.,.,.,

the circumference of a circle is 154cm. What is the diameter of the circle?

Answers

Answer:

51.33 cm

Step-by-step explanation:

154cm / π = 51.33 cm

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

x = 45°

Step-by-step explanation:

x = 90° - 45° = 45°

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