All together Maria and Nick had $12. After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount. How much money did Nick have to begin with?

Answers

Answer 1

Answer:

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5


Related Questions

Find the value of x. Write your answer in simplest form.

Answers

Answer:

It would be 4.

Step-by-step explanation:

Alright, this is a 30-60-90 special triangle. With special triangles, there is a formula that you can use to find unknown side lengths of a triangle if you know the angles of it.

With a 30-60-90 triangle, the sides opposite of these angles are:

30 degrees : x

60 degrees: x√3

90 degrees: 2x

With this, we can see that opposite of the 60 degrees is the length 2√3. From this, it can be found that the opposite of the 30 degrees would be 2, given the formula of the special triangle. Lastly, the unknown value would be 4, since it is two times this amount.

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] x = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 4

pllllzzzzzzzzzzzzzzzz help me with this!!!!!!!!!!!!

Answers

Step-by-step explanation:

djifvodp09govovkvcicodsodoss

If the circumference of a circle is 31.4 feet , What is the radius of the circle use 3.14 for π

Answers

Answer:

144

Step-by-step explanation:

The value of y varies directly with x. When y = 79, x = } .
What is the value of y when u is 3 1/4?
Can anyone help ?

Answers

The answer is 493 if you don't add the decimal.

If you do it's 493.5.

You're Welcome :)

Jack wants to find out which can of pineapples is the best buy. He has a choice of four
different-sized cans. Which can has the lowest unit price per ounce?

A. 8 ounces for $1.44
B. 18 ounces for $2.88
C. 10 ounces for $1.62
D. 6 ounces for $1.14

HURRY PLEASE

Answers

18 ounces for 2.88

2.88 divided by 18 is .16 which is 16 cents per ounce which is the cheapest of all the options.

On a number line , 1.38 would be located... choose all answers that make the statement true

A) to the right of 1.29
B) to the left of 1.36
C) between 0 and 1
D) between 1 and 2

Answers

Answer: A and D are the correct answers.

Step-by-step explanation:

The two line plots below show the number of hours per week students in Mr. Pinkos' class spend doing homework and watching television

Answers

Answer:

Step-by-step explanation:

I need help

Hi, I need help pretty please! (This time with 5 screenshots)

Answers

Hey I’m Pretty sure the question 5 is 36n*2

Find the sum of the given geometric series: n = 8, r = 3, a = 1/2​

Answers

Answer:

a⁸=112 is the answer.

Step-by-step explanation:

a⁸=32(1/2)⁷

a⁸=32(7/2)

a⁸=112

What is the volume of a cylinder with a height of 12.8 m and a base with a radius of 5.7 m, to the nearest tenth of a cubic meter?

Answers

Answer: 1306.5 m^3

Step-by-step explanation:

1. The formula for the volume of a cylinder is: V=[tex]\pi[/tex]r^2h

2. If you substitute the values into the equation, you get

V = pi * 5.7^2 * 12.8 = 1306.5

3. 1306.5 is already to the nearest tenth, so that is the answer.

need some funny hair jokes for math teacher plss​

Answers

Answer:

Grey Hairs? Try some of our free Pi-Lights

Step-by-step explanation:

If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y

Answers

Answer:

B. y > 14

y which is students age is greater than 14

Which of the following fraction is the largest ?
5/6
7/12
4/7
2/3

Answers

Answer:

5/6

Step-by-step explanation:

So to do this, lets convert all of these fractions into decimals by dividing:

5/6 --> 0.833...

7/12 --> 0.583...

4/7 --> 0.571...

2/3 --> 0.66...

From this, it can be see that it is 5/6, since it is a larger decimal compared to the other choices.

I believe it’s 5/6 sorry if I’m incorrect though

To find the quotient of 726.02 and 1,000, move the decimal point in 762.02___Places to the ____

Choices for blank 1.

A. 2
B. 3
C. 4
D. 5

Choices for blank 2.

A. Left
B. Right
NO LINKS!!

Answers

from blank one five

from blank two is right

I need help with this question hurry

Answers

Answer:

a b c and f

Step-by-step explanation:

rectangle parallelogram square and rhombus

How do you do this ??????????????????????

Answers

Answer:

b

Step-by-step explanation:

you can take the rectagel and you x the rectagel

Alan bought 16 cupcakes for
his class. Each cupcake costs
$1.49. How much did he
spend on cupcakes?

Help

Answers

the answer is $23.84. 16 x 1.49 = 23.84

Pls help rationalize

Answers

Answer:

1=  0.109

2= 3.46

3 = -(minus)1.24

Step-by-step explanation:

Answer:

See answers below.

Step-by-step explanation:

All of these use the same idea: multiply numerator and denominator by the conjugate radical (an identical expression but with the sign between terms changed).

[tex]\frac{1}{13-\sqrt{15}}\cdot\frac{13+\sqrt{15}}{13+\sqrt{15}}=\frac{13+\sqrt{15}}{169-15}}\\\\=\frac{13+\sqrt{15}}{154}[/tex]

[tex]\frac{1}{\sqrt{13}-\sqrt{11}} \cdot \frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}+\sqrt{11}}=\frac{\sqrt{13}+\sqrt{11}}{13-11}\\\\=\frac{\sqrt{13}+\sqrt{11}}{2}[/tex]

[tex]\frac{1}{\sqrt{21}+\sqrt{29}}\cdot\frac{\sqrt{21}+\sqrt{29}}{\sqrt{21}+\sqrt{29}}=\frac{\sqrt{21}+\sqrt{29}}{21-29}\\\\=\frac{\sqrt{21}+\sqrt{29}}{-8}[/tex]

Note:  Here's an example of what happens when you multiply conjugate radicals.

[tex](\sqrt{13}-\sqrt{11}})(\sqrt{13}+\sqrt{11})=13-\sqrt{11}\sqrt{13}+\sqrt{13}\sqrt{11}-11=13-11[/tex]

When you FOIL those binomials, the square roots go away!

write the measure of each of the missing angle measures in the diagram above.

Answers

Answer:

<2= 65°

<3= 65°

<4= 115°

<5= 115°

<6= 65°

<7=65°

<8=115°

What does x and y equal

Answers

It equals 0
Xxxxxxxxxxxxx

calculate the area of the shaded region. someone please help!

Answers

Answer:

[tex]130cm^{2}[/tex]

Step-by-step explanation:

1) Calculate the entire rectangle and subtract the right triangle area

15 x 10 = 150 Entire rectangle area

(5 x 8) ÷ 2 = 20 Triangle area

150 - 20 = 130 Area of shaded region

2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.

Answers

T-shirt cost would be $3, hat would be $2

The cost of a t-shirt is £3 and the cost of a hat is £2.

What is a linear equation?

When an equation contains one or more variables with exponents as 1 then such equations are linear equations.

For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.

Let the cost of a t-shirt is £m and the cost of a hat is £n.

Formulate two linear equations using the given statements in the question.

[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]

Obtain the value of m from equation (1).

[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]

Substitute the obtained value of m into equation (1) and find n.

[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]

Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.

[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]

Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.

Learn more about linear equations at https://brainly.com/question/11897796

#SPJ2

Can you plz help me!dddddddd

Answers

Answer:

We are finding hypotenuse:

6^2 + 8^2

36 + 64 = 100

Now we need to find a number that should be squared to equal 100.

10^2 = 100!

10 is your answer.

Find the length of the midsegment of the trapezoid.

Answers

Answer: 28 i think or 12

Step-by-step explanation:

Isabel's team played 8 games of basketball. During those 8 games her team's score was: 59, 65, 61, 64, 68, 57, 49 and 57. What is the median(middle)?

Answers

Answer:

60 :)

Step-by-step explanation:

The middle two numbers are 59 and 61 so you add them together and divide by 2.

Help me plss I will give u anything but pls help me

Answers

Answer:

The percentage is 1/2 * 2/5 = 1/5 = 20%.

Answer:

The correct answer is 20%

Step-by-step explanation:

If you were to pick two marbles from the pile, there would be 30 different possible combinations. Out of the 30 possible combinations, 6 of them meet the requirement of green marble on the first pick and red marble on the second pick. The fraction that represents the situation would be [tex]\frac{6}{30}[/tex] or [tex]\frac{1}{5}[/tex], which would be equal to 20%, so that is the correct answer.

Solve each log equation for real solutionslogx 81 =2

Answers

Answer:

x=9

Step-by-step explanation:

You would change it to x^2 = 81 which is 9.

x=9. The log value is the same as the base in exponential form and the value on the opposite side of the equal sign is the exponent. So you can rewrite the equation as, x^2=81. 9^2=81 so x=9

{6.EE.B.7} Solve for x. 342 + x = 782*

Answers

Answer:

Hello There!!

Step-by-step explanation:

342 + x = 782 -342

x=440

hope this helps,have a great day!!

~Pinky~

A cone has twice the base diameter and three-fourths the height of a cylinder. Can you tell what the relationship between the volume of the cone and the volume of the cylinder is? Explain your reasoning.

Answers

Answer:

Equal volumes

Step-by-step explanation:

Given

[tex]h \to[/tex] height of cone

[tex]d \to[/tex] diameter of cone

[tex]H \to[/tex] height of cylinder

[tex]D \to[/tex] diameter of cylinder

Such that:

[tex]d = 2D[/tex]

[tex]h =\frac{3}{4}H[/tex]

Required

The relationship between the volumes

The volume of a cylinder is:

[tex]V_1 = \pi R^2H[/tex]

Where

[tex]R = 0.5D[/tex]

So:

[tex]V_1 = \pi (0.5D)^2H[/tex]

[tex]V_1 = \pi *0.25*D^2H[/tex]

[tex]V_1 = 0.25\pi D^2H[/tex]

The volume of the cone is:

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

Where

[tex]r =0.5d[/tex]

[tex]r = 0.5 * 2D[/tex]

[tex]r = D[/tex]

and

[tex]h =\frac{3}{4}H[/tex]

So, we have:

[tex]V_2 = \frac{1}{3}\pi * D^2 * \frac{3}{4}H[/tex]

[tex]V_2 = \frac{1}{4}\pi * D^2H[/tex]

[tex]V_2 = 0.25\pi * D^2H[/tex]

[tex]V_2 = 0.25\pi D^2H[/tex]

So, we have:

[tex]V_1 = 0.25\pi D^2H[/tex]

[tex]V_2 = 0.25\pi * D^2H[/tex]

[tex]V_1 = V_2[/tex]

Answer: : When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.

Step-by-step explanation:

Perform the following calculations. To calculate the number of pounds of meat required to feed diners do the following: for poultry or meat with bones, divide the number to be served by 2.5; for meat with little or no bone, divide the number to be served by 3.5; and for fish fillets divide the number to be served by 3.5. Guests = 100 Meat served = boneless chicken How many pounds of chicken are required?

Answers

Answer:

28.58 pounds, about 29 pounds

Step-by-step explanation:

Poultry meat with bones ; divide number to be served by 2.5

Meat with little or no bone ; divide number to be served by 3.5

If number of guests to be served = 100

Meat served = 100

The number of pounds of chicken required :

Number of guests to be served / meat served

Hence,

100 / 3.5

= 28.58 ; which is about 29 pounds

Answer:

43

Step-by-step explanation:

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