A student is collecting dimes and quarters as a fundraiser for their CAS project. After the first week, they tasked a younger sibling to count them up, who found there to be 211 coins. After taking the coins to the bank, the student was given $37.30. Find how many dimes did the student collect, and how many quarters did the sudent collect?

Answers

Answer 1

Answer: [tex]103,108[/tex]

Step-by-step explanation:

Given

There are total of 211 coins

The worth of the coins is [tex]\$37.30[/tex]

Suppose there are x dimes and y quarters

A dime is equivalent to 10 cents and quarter is equivalent to 25 cents

[tex]\therefore x+y=211\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=37.30\\\Rightarrow x+2.5y=373\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=103,y=108[/tex]

Therefore, student collects 103 dimes and 108 quarters.


Related Questions

1/2x9
step by step please

Answers

[tex]4.5[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} \times 9 \\ = \frac{1 \times 9}{2} \\ = \frac{9}{2} \\ = 4.5[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

so you multiply the numerator which is 1x9= 9
and you leave the denominator alone which will be 9/2 then divide 9*2 which will be 4.5. Hope it makes it easier for you.

In a test, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks, though she got 10 correct answers. How many incorrect answers has she attempted? (ii) How many questions were given in the test?

Answers



x = number of questions

3y = points for a correct answer
-1x or -x = points for an incorrect answer

Adding up the correct and incorrect points/answers gives us the final score. We can solve to see how many questions were incorrect. (We are told 10 were correct)

3y + (-1x) = 20
3(10) + (-1x) = 20
30 - x = 20
10 = x
x = 10

So she got 10 correct and 10 incorrect, and there were 20 questions in all.

2- Guillermo envasa 355 ml de agua
fresca en cada botella. ¿Cuantas botellas
se necesitan para envasar 29,730,895 ml?

Answers

Answer:

83,749 bottles

Step-by-step explanation:

Each bottle contain = 355ml

Total water need to pack = 29,730,895 ml

So, we can calculate the number of bottles by using following formula,

Number of bottles required = Total water ÷ Each bottle contain

by putting the value, we get

Number of bottles required = 29,730,895 ÷ 355

= 83,749

Hence, total number of bottles required is 83,749.

what is the tan K? need help

Answers

Answer:

i have no clue

Step-by-step explanation:

HELLPPPPPPPP I NEED THIS AMSWER IN LESS THEN 2 mins

Answers

Answer:

x = 15

m<RQP = 33degrees

Step-by-step explanation:

From the given diagram, m<P = 90degrees

Equating this to 5x+15

5x+15 = 90

5x = 90 - 15

5x = 75

x = 75/5

x = 15

m<RQP = 2x+3

m<RQP = 2(15) + 3

m<RQP = 30 + 3

m<RQP = 33degrees

You flip a coin, spin the spinner, and flip a coin again. Find the probability of flipping heads, spinning an even number, and then flipping heads. The probability is %

Answers

Answer:

1/10

Step-by-step explanation:

P heads,even,heads = P heads * P even *P heads =

1/2 * 2/5* 1/2 = 1*2*1/2*5*2= 1/10

IM SO CONFUSED! HELP AND EXPLAINNNNNN

Answers

Answer:

326.56 sq in

Step-by-step explanation:

SA=2*3.14*4^2+2*3.14*4*9

SA= 100.48+ 226.08

SA= 326.56

Plug numbers in equation and then solve equation. R=4 and h=9.

Evaluate: log279
I just need the answer

Answers

Answer:

2.44560420

Step-by-step explanation:

The answer to Log279 is about 2.445

Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half

Answers

Answer:

Logan played for 22 minutes during the second half.

Step-by-step explanation:

Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:

Second Half Total - Time Played by Wilson = Time Played by Logan

40 - 18 = X

22 = X

Therefore, Logan played for 22 minutes during the second half.

ALGEBRA II HELP :/
Please show work the answer will be a 2 digit number
20 POINTS
BRAINLIEST

Use synthetic division and the Remainder Theorem to find P(a)
(like f(x) i think)
x^3+4x^2-8x-6
a= -2

Answers

Answer:

18

Step-by-step explanation:

f(x) = x³+4x²-8x-6

P(a) <=> P(x)

-2 | 1 4 -8 -6

|

| -2 -4 24

----------------------------

1 2 -12 18

The cost to rent a bicycle is $20.00 plus $2.65 per hour that the bicycle is checked out. What is the minimum number of hours a bicycle can be rented if a tourist can spend more than $37.00 but less than $65.00 on the rental? Round your answer to the nearest whole hour that satisfies the inequality.

Answers

Answer:

7 hours

Step-by-step explanation:

Rental cost :

Fixed pay = $20

Hourly cost = 2.65

To obtain the minimum rental hour, we work with the least amount that can be spent ;

For tourist that can spend more than $37 but less than $65

Total cost of rental :

20 + 2.65h ; h = number of hours

When total cost > 37

20 + 2.65h > 37

2.65h > 37 - 20

2.65h > 17

h > 6.415

Hence, the minimum whole hour of bicycke rental is 7 hours

20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.

Answers

Answer: [tex]518.4\ cm^3[/tex]

Step-by-step explanation:

Given

The volume of the small block is [tex]300\ cm^3[/tex]

The ratio of the surface area of small to large block is [tex]25:36[/tex]

Suppose the length of the small and large box is a and b

[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]


[tex]5x + 11(7x - 3[/tex]

Answers

[tex]82x - 33[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

HELP! Quick! Test! Will mark brainliest!

Part II: Using the variable you defined in Part I, write an expression to represent the
amount of money Sam will spend in one year (Sam's cost). (2 points)

Answers

Answer:

Number of wooden carving = a

Total amount Sam spend = 1,200 + 4a

Total revenue of Sam = 15a

Number of wooden carving make to earn profit $4,300 = 500 carvings

Step-by-step explanation:

Given:

Sales price of each wooden carving = $15

Fixed cost = $1,200

Variable cost = $4 for each

Find:

Number of wooden carving make to earn profit $4,300

Computation:

Part 1

Assume

Number of wooden carving = a

Part 2

Total amount Sam spend = 1,200 + 4a

Part 3

Total revenue of Sam = 15a

Part 4

Total profit of Sam = Total revenue of Sam - Total cost of Sam

4,300 = 15a - [1,200 + 4a]

4,300 = 15a - 1,200 - 4a

11a = 5,500

a = 5,500 / 11

Number of wooden carving make to earn profit $4,300 = 500 carvings

An isosceles triangle has an angle that measures 40°. Which other angles could be in that isosceles triangle? Choose all that apply. 70, 100,80,40

Answers

Given:

An isosceles triangle has an angle that measures 40°.

To find:

The other possible angles of the triangle.

Solution:

Case 1: 40° is the measure of base angle of isosceles triangle.

Then, the other base angle is 40°.

Let x be the measure of third angle.

The sum of all interior angles of a triangle is 180 degrees. So,

[tex]x+40^\circ+40^\circ=180^\circ[/tex]

[tex]x=180^\circ-40^\circ-40^\circ[/tex]

[tex]x=100^\circ[/tex]

So, the possible angles are 40° and 100°.

Case 2: 40° is the measure of vertical angle of isosceles triangle.

Let y be the measure of base angles, then

[tex]y+y+40^\circ=180^\circ[/tex]

[tex]2y=180^\circ -40^\circ[/tex]

[tex]y=\dfrac{140^\circ}{2}[/tex]

[tex]y=70^\circ [/tex]

So, the possible angles are 40° and 70°.

Therefore, the correct options are A, B and D.

Which description represents the equation 7x - 2 = 33?

1. Two less than seven times a number equals thirty-three.
2. Two times the quantity of seven less than a number equals thirty-three.
3. Seven less than two times a number equals thirty-three.
4. Seven times two minus a number equals thirty-three.

Answers

i’m pretty sure it would be 1. two less than seven times a number equals thirty-three

Hi there!  

»»————- ★ ————-««

I believe your answer is:

"1. Two less than seven times a number equals thirty-three."

»»————- ★ ————-««  

Here’s why:  

We are given the equation of  [tex]\boxed{7x-2=33}[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]

⸻⸻⸻⸻

The first statement should be the appropriate statement for the given equation.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

A circle has a diameter of 28m. What is its circumference? Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.​

Answers

Answer: 87.92

Multiply 3.14 x 28

Answer:

87.92

Step-by-step explanation

you times 28 and 3.14

Or you can use this step 28 divided by 2 = 19x3.14=59.66x2=87.92

I hope that helps

what is the area of a triangle with base 18cm and height 4cm

Answers

Answer: The area of the triangle would be “36cm^2”

Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.

Have a nice day!

Answer:

Area=36

Step-by-step explanation:

18x4=72

72/2=36

write an equation in SLOPE- INTERCEPT FORM of the line that has the slope of -6 and a y- intercept of 2.
ANSWER THIS ASAP PLEASE!

Answers

Answer:

y=-6x=2

Step-by-step explanation:

y= mx+b

m=slope

b=y-intercept

HELP PLEASE! I'M STUCK, THANK YOU!

Answers

Answer:

Negative.

Step-by-step explanation:

You can see the line is declining. The y value is decreasing.

Always read the line from left to right, you’ll easily see it’s a negative slope.

Answer:

It's negative

Step-by-step explanation:

It's going from top to bottom so it's gotta be negative

Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?

A) 200
B) 15
C) 185
D) 0

Answers

Answer:

15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)

Step-by-step explanation:

2x-y=0 3x=2y=-3


I’m not sure the correct steps to solve.

Answers

Answer:

x = 3 and y = 6

Step-by-step explanation:

The given equations are :

2x-y=0 ......(1)

3x-2y=-3 .....(2)

We need to solve equations (1) and (2).

Equation (1) can be written as :

2x = y

Put the value of y in equation (2)

3x-2(2x)=-3

3x-4x = -3

-x = -3

x = 3

Put the valye of x in equation (1)

2(3)-y=0

y = 6

Hence, the value of x = 3 and y = 6.

Matthew has 3 1/4 gallons of lemonade. He sells 4/8 of the lemonade. How many gallons of lemonade does Matthew have left?

Answers

Answer:

He would have 11/4 gallons of lemonade or 2 3/4

Step-by-step explanation:

Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?

Answers

Answer:

232

Step-by-step explanation:

Given f(x) = 3 and g(x) = cos(x). What is Limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi?

Answers

Answer:

C

cos pie= -1

so (3-(-1)=3+1=4

Step-by-step explanation:

At the farmers market, you can buy 3 jars of honey for $12,6 jars of honey for $24,or 9 jars of honey for $36.what is the constant of proportionality for buying jars of honey ?

Answers

Answer:

12

Step-by-step explanation:

Which number is equivalent to 2^3x = 10

Answers

Answer:

5/4

Step-by-step explanation:

see steps below:)

I had 150 pencils at the start of the year. I now only have 120 pencils. What
is the percent of change in the number of pencils? *

* 20 % increase
* 25 % increase
* 20 % decrease
* 25 % decrease

Answers

20% decrease Z z. Z xx. X

anyone wanna z00m? you have to make it tho.

Answers

This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.

hey! i’ll give brainliest please help

Answers

Answer:

C

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

E represents the number of moths initially with the darkest wing colour, and the number of these will increase if the moth's predator (hawks) finds it more difficult to locate them, as the moths with the darkest colour wings will be more likely to survive to reproduce so will increase in number (natural selection).

Hope this helps!

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