Marissa has $4.70 in quarters and dimes. If she has 9 more quarters than dimes, how many of each coin does she have?
dimes
quarters

Answers

Answer 1

Answer:

22 dimes

10 quarters

Step-by-step explanation:

$4.70 = 0.25(q + 9) + 0.1d

4.7 = 0.25q + 0.25(9) + 0.1d

4.7 = 0.25q + 2.25 + 0.1d

2.45 = 0.25q + 0.1d

24.5 = 2.5 + d

22 = d = 22 dimes

$4.70 = 0.25(q + 9) + 0.1(22)

4.70 = 0.25q + 0.25(9) + 2.2

4.70 = 0.25q + 2.25 + 2.2

4.70 = 0.25q + 2.25 + 2.2

4.70 = 0.25q + 4.45

0.25 = 0.25q

1 = q

1 q + 9 q = 10 quarters

Check:

$4.70 = 0.25(q + 9) + 0.1(d)

$4.70 = 0.25(1 + 9) + 0.1(22)

$4.70 = 0.25(10) + 0.1(22)

$4.70 = 2.5 + 2.2

$4.70 = 4.7


Related Questions

10times larger than 40

Answers

Answer:400

Step-by-step explanation:10×40=400

Answer:400

Step-by-step explanation:

Find the solution to the equation.

4(x + 7) = 38 i need it ASAP plzzz

Answers

Answer:

x = 2.5

or

x = 1/4

Step-by-step explanation:

watch the following steps:

4x + 28 = 38

4x = 38 - 28

4x = 10

x = 2.5

or

x = 1/4

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

2.5, maybe

Step-by-step explanation:

distribute 4 into x and 7

subtract 28 from both sides (28-28, 38-28)

divide 4 and 10

2.5

it seems odd...

A, B, C, or D???? Please help! Thank you!

Answers

Answer:

Step-by-step explanation:

either the c or d

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

-1 + 7 =-8

Step-by-step explanation:

Answer:

-6, -7

Step-by-step explanation:

-1 + -6 = -7

Match the number with its opposite.

Match Term Definition
9.2 A) 2.9
−2.9 B) −9.2
−1.4 C) −4.1
4.1 D) 1.4

Answers

9.2 - B
-2.9 - A
-1.4 - D
4.1 - C

Explanation: the opposite of a number is the same number with the sign flipped

Answer:

9.2 - B

-2.9 - A

-1.4 - D

4.1 - C

Step-by-step explanation:hope this helps

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 36 x2 x dx

Answers

We need to find the integration of (36x²)x.dx .

We know,

[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]

Now,

[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]

Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .

Hence, this is the required solution.

PLEASE HELP

Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.


Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.

Answers

Answer:

Use a^2 + b^2 = c^2 and substitute

18^2 + 24^2 = c^2

Solve what we know

324 + 576 = c^2

324 + 576 = 900

Square root 900 to get C

sqrt of 900 equals 30

So, yes he can fit the baseball bat in his suitcase

If you multiply a matrix and its inverse together, you will always get the identity
matrix.
True
False

Answers

Answer:

True

Step-by-step explanation:

If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I. And the point of the identity matrix is that IX = X for any matrix X (meaning "any matrix of the correct size", of course).

Answer:

Yes

Step-by-step explanation: And 1 is the identity, so called because 1x = x for any number x. It works the same way for matrices. If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I.

Name an equivalent ratio for One-half with a denominator of 8.
a. 4 Over 8
c. 5 Over 8
b. 1 Over 8
d. 3 Over 8

Answers

Answer:

it is A

Step-by-step explanation:

1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?

Answers

Answer:

512

Step-by-step explanation

128 ounces in a gallon times that by 4. ====== ....... 512.

Ur welcome please heart this

512 ounces would be correct

I need help ASAP please

Answers

A circle is 360 degrees so 360 = b + 96 + 209

360 = b + 305

b = 55 degrees.

Use the multiplier method to increase £72 by 12%
You must show your working.

Answers

Answer:

£80.62

Step-by-step explanation:

100+12%=112%

112/100= 1.12

1.12*£72 =£80.62

Consider a tank in the shape of an inverted right circular cone that is leaking water. The dimensions of the conical tank are a height of 12 ft and a radius of 10 ft. How fast does the depth of the water change when the water is 10 ft high if the cone leaks at a rate of 8 cubic feet per minute?

Answers

Answer:

[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]

Step-by-step explanation:

Given

Represent radius with r and height with h

[tex]h = 12ft[/tex]

[tex]r = 10ft[/tex]

[tex]Rate = \frac{8ft^3}{min}[/tex] when [tex]h = 10ft[/tex]

Express radius in terms of height

[tex]\frac{r}{h} = \frac{10}{12}[/tex]

[tex]\frac{r}{h} = \frac{5}{6}[/tex]

[tex]r = \frac{5}{6}h[/tex]

First, we need to determine the volume of the cone in terms of height.

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

Substitute [tex]r = \frac{5}{6}h[/tex]

[tex]V = \frac{1}{3} * \pi * (\frac{5}{6}h)^2 * h[/tex]

[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^2 * h[/tex]

[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^3[/tex]

[tex]V = \frac{25}{108} \pi h^3[/tex]

Differentiate both sides w.r.t time (t)

[tex]\frac{dV}{dt} = 3 * \frac{25}{108} \pi h^{3-1} * \frac{dh}{dt}[/tex]

[tex]\frac{dV}{dt} = \frac{75}{108} \pi h^{2} \frac{dh}{dt}[/tex]

Solve for [tex]\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{dv}{dt} * \frac{108}{75\pi h^2}[/tex]

At this point, [tex]h = 10[/tex] and [tex]\frac{dv}{dt} = \frac{8ft^3}{min}[/tex]

So, we have:

[tex]\frac{dh}{dt} = 8 * \frac{108}{75\pi 10^2}[/tex]

[tex]\frac{dh}{dt} = \frac{8 * 108}{75\pi 10^2}[/tex]

[tex]\frac{dh}{dt} = \frac{864}{7500\pi}[/tex]

[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]

Hence:

The rate is [tex]\frac{216}{1875\pi} ft/min[/tex]

Using implicit differentiation, it is found that the depth of water changes at a rate of -0.0764 feet per minute.

The volume of a cone of radius r and height h is given by:

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

Applying implicit differentiation, we can find it's rate of change, thus:

[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]

In this problem:

Height of 12 ft and radius of 10 ft, thus [tex]h = 12, r = 10[/tex].Radius does not change, thus [tex]\frac{dr}{dt} = 0[/tex].Water leaks at a rate of 8 cubic feet per minute, thus [tex]\frac{dV}{dt} = -8[/tex]

Then:

[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]

[tex]-8 = \frac{\pi (10)^2}{3}\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = -\frac{24}{100\pi}[/tex]

[tex]\frac{dh}{dt} = -0.0764[/tex]

The depth of water changes at a rate of -0.0764 feet per minute.

A similar problem is given at https://brainly.com/question/9543179

A food truck sells tacos $1.25 a piece. The truck operator earned $360.00 last night.
How many tacos did the food truck sell last night?
28.8 tacos
288 tacos
300 tacos
2.88 tacos

Answers

Answer:

288

Step-by-step explanation:

Each taco is 1.25 dollars and you are trying to figure out how many tacos he sold to do this we make an equation.

Step 1

1.25 x = 360

x =is the amount of tacos sold.

Step 2

1.25 x = 360

/1.25      /1.25

to get x on its own we need to cancel out the 1.25 so we dived because it was multiplied to the x. we did the same on the other side to balance the equation.

Step 3

x = 288

we now need to identify what x is, we can see it is 288. If we trade x for what it means it is then this is your answer  the amount of tacos sold=288

i hope this helps ;)

Taylor is driving on the freeway at 55 miles per hour. What question finds her distance

Answers

Answer:

distance(miles) = number of hours driven * 55

Step-by-step explanation:

W/4 -4=3

Solve the eqution pls!

Answers

Answer:

W=28

Step-by-step explanation:

(W/4)-4=3

(W/4)=7

W=28

W=28 is the answer ........

Evaluate 2x+6y when x= -4/5 and y= 1/3 Write your answer as a fraction or mixed number in simplest form.

Answers

2/5 is a answer

in this we can se the answer is 2/5

priya changed the rate at which flowed through the faucet. write an equation that represents the relationship w of t and when it takes 3 minutes to fill the cooler with 1 gallon of water. Which of the following equations represent the relationship between w and t? select all that apply.

Answers

Answer:

i love you sm

Step-by-step explanation:

A 2 1/2 pound bag of grass seed covers 1/8 of an acre. How much grass seed is needed for 1 acre?

Answers

Answer:

it needs 234 grass seeds for the acre

Can someone please help?

Answers

Y is 3 and x is -2 the answer
y= 3/2x + 3

hope this helps

2.
Fifty people who watch television were recently
polled as to which type of program they preferred.
The results are shown in the table.
Television Survey
Type of Show Number
who watch
comedy
16
documentary 9
drama
12
musical
8
news
5
What percent of those surveyed preferred to watch
comedy shows?

Answers

Answer:

39.02%

or

39%

Step-by-step explanation:

q(x) = –2x+1
r.(x)=x²+2
Find the value of q (r (3)).

Answers

-21

r(3) = 3^2 + 2
= 11
q(11) = -2(11) + 1
= -22 + 1

3 + 8 + 6 + 6 + 6 = 58 + 6
How do we solve this

Answers

Answer:

93

Step-by-step explanation:

Find the surface area of a triangular prism that has a height of 11 meters and the following triangular base. All
dimensions are in meters.
13.5
4
surface area =
m?

Answers

Answer:

3 is your answer took the test

Step-by-step explanation:

Answer:

S A = 146 m^2

Step-by-step explanation:

You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individual picture takes 3 minutes and a class picture takes 10 minutes.About how long should it take you to get all of the pictures

Answers

Answer:

2h and 26 minutes

Step-by-step explanation:

21x2=42

42x3=126

2x10=20

126+20=146

146m=2h 26m

match the simplified expressions to an equivalent expression

Answers

sorry, kinda messy. But hope this helps

Lex be a random variable that represents the pH of arterial plasma (le, acidity of the blood). For healthy adults, the mean of the distribution is - 7.4.1 A new drug for arthritis has
been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with
sample standard deviations - 2.7. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood.
USE SALT
(a) what is the level of significance?

what is the value of the sample test sisse? (Round your answer to three decimal places)

Answers

Answer:

2.304

Step-by-step explanation:

A can of fruit contains 411 grams. One gram is approximately 0.035 ounces. About how many ounces does the can contain?

Answers

Answer:

14.385 ounces

Step-by-step explanation:

Converting grams to ounces:

1g ----- 0.035 ounces

411g ----- ?

Since we multiply 411 to the left hand side, multiply the left hand side by 411 too.

411g

= 0.035(411) ounces

= 14.385 ounces

Thus, the can contains 14.385 ounces of fruit.

For a statistics project a community college student at Diablo Valley College decides to investigate cheating in two popular majors at DVC: business and nursing. She selects a random sample of nursing and business courses and convinces the professors to distribute a short anonymous survey in their classes. The question about cheating is one of many other questions about college life.

When the student summarizes the data, she finds that 42 of the 50 business students and 38 of the 70 nursing students admitted to cheating in their courses. Can the student proceed with the calculation of the confidence interval for the difference in population proportions?

Answers

Answer:

The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.

This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.

Step-by-step explanation:

To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box? PLSSSSS HELLPPP

Answers

Answer:

4 goes in the box

Step-by-step explanation:

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let the value inside the box be 'y'. Then the equation is given as,

4x − 2 + y(2x + 4) = 2(6x + 7)

Simplify the equation, then we have

4x − 2 + y(2x + 4) = 2(6x + 7)

4x − 2 + y(2x + 4) = 12x + 14

y(2x + 4) = 8x + 16

y = 4(2x + 4) / (2x + 4)

y = 4

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Other Questions
Suatu ketika Pak Veri membeli dua karung beras untuk kebutuhan hajatan di rumahnya setelah dibawa pulang istri Pak Veri merasa beras yang dibeli kurang kemudian Pak Veri membeli lagi sebanyak 5 kg Nyatakan bentuk aljabar dari beras yang dibeli Pak Veri Answer Both please and thank you2(n + 5) = 2144 =12(x + 5) 2 examples of density. plz 12 X 0.4Please help Answer for the question with the diagram! 40 points! What term means to move to a new place, as ice age people did? What is the factored form of 5x 625x4?A. 5x(1 + 5x)(1 5x + 25x2)B. 5x(1 5x)(1 + 5x + 25x2)C. (1 5x)(1 + 5x + 25x2)D. (1 + 5x)(1 5x + 25x2) Which statement best describes how Boxers response supports the authors purpose?Boxers anger shows how the working class could be the leaders of a revolution.Boxers defiance shows how the working class could not be swayed by propaganda.Boxers acceptance shows how the working class could be manipulated by those in power.Boxers agreement with Squealer shows how the working class was equal to the upper class. What type of location uses latitude and longitude on a map to find locations on a map? A. Absolute Location B.Relative Location For each sentence, select the correct adjectives in relation to the noun. tarea . English: some, interesting muchacha . English: sad, a tarea . English: a lot, difficult amigos . English: new, a lot hermanos . English: young, the 2 The main parts of a working clothes dryer are shown in the diagram below.DrumHeating ductand elementMotor The amount of milk that the bakery used this month was a 75% decrease relative to last month. What is the new amount of milk using percent? if it takes 3.5 hours for the Hogwarts Express, moving at a speed of 120 mi/hr, to make it from Platform 9 and 3/4 to Hogwarts, how far apart are they? Would the answer to this question be an rational or irrational number If a hurricane was to hit Jacksonville during which Moon phase wouldwe most likely experience the most damage? Describe the factors thatare involved in order to develop an answer. Complete the Concept Map to compare the locations and remodeling functions of osteoblasts and osteoclasts, and explain how hormones and physical stress regulate bone remodeling. Chelseas family traveled 300 miles by car each day during their family vacation. How many miles did Chelseas family travel over all 6 days? Contrast in the context of visual design can be defined as a difference between two or more elements in acompositionTrue or false ? Write three sentences using "Le futur proche."Write one sentence about what you are going to do (je). Example: I am going to work at the store.Write one sentence about what your friend is going to do (il/elle). Example: She is going to listen to the radio.Write one sentence about what you and your family are going to do. (nous). Example: We are going to go to the beach.Will mark brainliest! case studies assignment grade 11