Mr. Hayden's Bible class collected $11
in coins for a needy family. They col-
lected twice as many quarters as dimes
and 12 more nickels than dimes. How
many of each coin did the class collect?

Answers

Answer 1

This is the only way I can think of this mathematically. This took a good 20 minutes for me. You need to guess and check. Like try 17 quarters, 50 nickels, and 37 dimes etc. until you get 11.00. My numbers are mathematically correct but we both know you cant have 18.909 quarters so. lol

Answer:

Quarters: 18.909

Nickels: 49.818

Dimes: 37.818

Somewhere around those numbers.

Step-by-step explanation:

$11.00 total in coins

Nickel = $0.05

Dime = $0.10

Quarter = $0.25

(n*0.05) + (d*0.10) + (q*0.25)

Solve the equation for q.

[tex]q=\frac{1}{2} d[/tex]

(n*0.05) + (d*0.10) +( [tex]\frac{1}{2} d[/tex] *0.25)

Simplify the expression.

9d + 2n = 440

d - n = -12

Multiply both sides of the equation by -9.

-9d + 9n = 108

9d + 2n = 440

Sum the equations vertically to eliminate at least one variable.

11n = 548

[tex]n=\frac{548}{11}[/tex]

Substitute the given value of n into the equation d - n = -12

[tex]d-\frac{548}{11} =-12[/tex]

[tex]d=\frac{416}{11}[/tex]

Substitute the given value of n into the equation [tex]q=\frac{1}{2} d[/tex]

[tex]q=\frac{1}{2} *\frac{416}{11}[/tex]

[tex]q=\frac{208}{11}[/tex]

Finally

[tex]d=\frac{416}{11}[/tex]        d = 37.818

[tex]n=\frac{548}{11}[/tex]        n = 49.818

[tex]q=\frac{208}{11}[/tex]        q = 18.909


Related Questions

find the perimeter
pls explain with explanation

Answers

Answer:

You have to divide the diagram into 3 rectangles and add the cm

Step-by-step explanation:

suppose you have a table-like - diagram and you have to find the perimeter

first, you divide it into 3 rectangles like so.

second, you right 1st rectangle= 1cm,2cm

then continue with this method until done.

third, you add all the measurements and you get the answer

Answer:

The perimeter is 22cm

Step-by-step explanation:

So first we know that the top is 5cm, the two bottom parts are each 1cm, one of the insides is 2cm, and the right side is 4cm. So far that gives us a perimeter of 13cm. Now we need to find the unlabeled sides, so first (and it doesn't matter what side you start with) let's find the left side. Because the shape is symmetrical we can look across at the right side's measurement, and it will be the same measurement for the left side, 4cm. Next the right inside. Again, we can look to the left and we see that the left inside has a measurement of 2 cm, so the right inside will be the same, 2cm. Now for the bottom. We see that the top is 5cm, and if we were to fill in that empty space at the bottom, it would also be 5cm. We know that the two bottom pegs are each 1cm, so they're 2cm combined. If we were to fill in the rectangle, the bottom would equal 5cm. So 5-2 (for the 2cm of the bottom pegs), we get 3cm for that bottom unlabeled part. So if we add 13 to our new numbers 4, 3, and 2, we get a perimeter of 22cm.

Val is driving 25 miles per hour. If Val travels for 3 hours, how far will she travel?

Answers

25 miles in 1 hour x 3 for 3 hours = 75 miles

Answer: 75

Step-by-step explanation: Keywords; "driving 25 miles per hour", "travels for 3 hours in total"

To solve this problem we are going to use the rate (r) and time (t) equals distance (d) formula.

d=rt

plug in the numbers into the formula as shown.

d=25 x 3

now solve.

25x3=75

final answer is 75.

hope this helps!


Write the expression in exponential form, and then evaluate.
2.1 x 2.1 =

Answers

Answer:

exponential form = 2.1^2

evaluation = 4.41

Step-by-step explanation:

it is multiplying 2.1 two times, therefore its 2.1^2

hence,

2.1 times 2.1 = 4.41

please answer this URGENT!! will give brainlisest

Answers

Answer:

ED = 6.5
BE = 9

Step-by-step explanation:

We know that CD = 18. Therefore, “BE” = 9 because BE is half the length of CD

To find ED, set up a proportion

26/20 = ED/5

To find ED, multiply 5 by 26 and then divide by 20

ED = 6.5

Answer:

calculate length of BE is 9

Step-by-step explanation:

because the line which is in between two sides of a triangle is parallel with the third side and it's length equals the half of the third's side length

help me with this: How many residents were surveyed?

Answers

22 you just count all of the dots

Find the length of BC. Round your answer to the nearest whole number.

Answers

Answer:

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

Step-by-step explanation:

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

Answer:

BC = 5 cm (nearest whole number)

Step-by-step explanation:

Use the sine trig ratio:

[tex]\mathsf{\sin \theta=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

[tex]\theta[/tex] = 22.6°side opposite the angle = ahypotenuse = 13

Substituting these values into the sine ratio formula:

[tex]\implies \mathsf{\sin (22.6)=\dfrac{a}{13}}[/tex]

[tex]\implies \mathsf{a=13\sin (22.6)}[/tex]

[tex]\implies \mathsf{a=4.995839195...}[/tex]

Therefore, BC = 5 cm (nearest whole number)

Jackson has some cards – 5 hearts, 2 diamonds and 12 spades. What is the probability of him not picking a diamond card from the stack?

Answers

Answer:

17/19

Step-by-step explanation:

Total number of cards - number of diamond card

Total number of cards

5+12+2 - (2)

5+12+2

19-2

19

17

19

What is the product

(4s+2)(5s^2+10s+3)

Answers

Answer:

option d

hope it helps you<3

The length of the sides of a triangle can be represented by these three expressions: (7/8x + 3/4y) (2y - 1) (4 - 1/2x)

What's the perimeter of the triangle?

Answers

Answer:

=(3/8)x+3(3/4)y−(1/3)

Step-by-step explanation:

Perimeter =(7/8)x+(3/4)y+2y−1+y−(1/2)x+(2/

3)

Combining like terms together,

=(7/8)x−(1/2)x+(3/4)y+2y+y−1+(2/3)

=(3/8)x+3(3/4)y−(1/3)

give brainliest.

If you can make the monthly payments, the default plan -- also known as the __________ Repayment Plan -- is advisable because it keeps you on track to pay off your loans in 10 years and minimizes total interest

Answers

The default plan that makes the monthly payments for student federal loans is also known as the Standard Repayment Plan.

The Standard Repayment Plan is advisable as it keeps one on track to pay off loans in 10 years and minimizes total interest.

What is the Standard Repayment Plan?

The standard repayment plan is the default students loan repayment plan.  It has fixed monthly payments for 10 years.

The main features of the standard repayment plan are:

Breaks up student loans into 120 fixed monthly payments.Monthly payment remains predictable.The monthly payment is fixed during the loan repayment term.

Other available federal loan payment plans for students include:

Graduated Repayment PlanExtended Repayment PlanPay As You Earn Repayment Plan (PAYE)Revised Pay As You Earn Repayment Plan (REPAYE)Income-Based Repayment Plan (IBR)Income-Contingent Repayment Plan (ICR) Income-Sensitive Repayment Plan.

Thus, the default plan that makes the monthly payments for student federal loans is also known as the Standard Repayment Plan and it is more advisable.

Learn more about Student Loans Repayment Plans at https://brainly.com/question/23752038 and https://brainly.com/question/16724065

Here is my question please answer my question ASAP

Answers

Answer:

Thanks for the points but someone may report and delete it.

Step-by-step explanation:

Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.

What is the volume?

Answers

The volume of the shape shown is 105π cm³

What is volume?

Volume is the amount of space occupied by a three dimensional shape and object.

Volume of the cone = (1/3) * π * (6/2)² * 5 = 15π cm³

Volume of the cylinder = π * (6/2)² * (16 - 5 - 6/2) = 72π cm³

Volume of the hemisphere = (2/3)π * (6/2)³ = 18π cm³

Volume of the shape = 15π cm³ + 72π cm³ + 18π cm³ = 105π cm³

The volume of the shape shown is 105π cm³

find out more on volume at: https://brainly.com/question/12410983

A line has a slope of 3 and passes through the point (

3,

2). What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions

Answers

Answer:

y + 2 = 3[x + 3]

Step-by-step explanation:

We know that:

Slope = 3Line passes through (-3, -2)

To find the equation of the line, we will need to use point slope form.

Point slope form formula: y - y₁ = m(x - x₁)

Solution:

y - y₁ = m(x - x₁)⇒ y - (-2) = 3[x - (-3)]⇒ y + 2 = 3[x + 3]                                                    (In point slope form)

Answer:

[tex]\sf y - 2 = 3(x -3)[/tex]

explanation:

[tex]\sf point \ slope \ form : \bold{y-y_{1}=m\left(x-x_{1}\right)}[/tex]

Here given :

slope, m : 3

coordinates : ( 3, 2 )

using the following given information:

[tex]\sf y - 2 = 3(x -3)[/tex]

26. A student was asked to find the value of a $2500 item after 4 years. The
item was depreciating at a rate of 20% per year. What is wrong with the student's work?
2500(0.2)
$4

Answers

The student's work is wrong because she did not subtract the rate of depreciaton from 100%.

What is the equation that represents the value of the money?

Depreciation is when the value of an asset declines with the passage of time.

FV = P (1 - r)^n

FV = Future value P = Present value R = interest rate N = number of years

2500 x (1 - 0.20)^4 = 1024

To learn more about depreciation, please check: https://brainly.com/question/25552427

Find AC , round all answers to the nearest tenth​

Answers

Answer:

AC = 14.0

Step-by-step explanation:

We know that this is a non-right triangle, so we must use either the law of sines or law of cosines to find AC.

We can find the measure of <C using 180 - (118 + 22) = 40

Since we only know one side and all the angles, we can use the law of sines:  [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]

[tex]\frac{24}{sin 40}=\frac{AC}{sin 22}[/tex]

Solving for AC gives us AC = 13.986826, which we can round to 14.0

What is the solution of the inequality shown below?

a+2<-10

Answers

Answer:

i think its a < -12 ?

Step-by-step explanation:

okay if memory serves me right, then i think its like this

a + 2 < - 10

you can make the umm < into = for now  ( or just ignore it)

a + 2 = -10

a = -12

now ummm i think we have to think whether we use < or >

if we use < then it will be less then -10

if we use > some points may be greater than -10

its < because even if you left < as it should be (not ignoring it) then it would still be facing <

A raincoat costs $79. 25 today. If a similar raincoat cost $52. 48 in 1983, what is the CPI? a. 166 b. 151 c. 132 d. 127.

Answers

The CPI means consumer price index. The CPI is 151. Then the correct option is B.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A raincoat costs $79. 25 today. If a similar raincoat cost $52. 48 in 1983.

CPI is given as

[tex]\rm CPI = \dfrac{Price\ of\ raincoat\ today}{Price\ of\ raincoat\ in\ 1983}*100\\\\ CPI = \dfrac{79.25}{52.47}*100\\\\ CPI = 151[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

A golf ball has a diameter of 4.1cm and the surface has 150 dimples of radius 2mm calculate the total surface area which is exposed to the surroundings. Assume the dimples are hemispherical

Answers

We have
Diametre of golf ball= 4.1cm
radius of each dimplets= 2mm
surface area of the ball =4πr
2
=4π×(
2
4.1

)
2
cm
2
=16.81cm
2


In case of each dimplets, surface area equal to πr
2
(r is the radius of each dimple) is removed from the surface of the ball where as the surface area of hemisphere i.e 2πr
2
is exposed to the surroundings

Total surface area exposed to the surroundings = surface area of the ball

−150πr
2
+150×2πr
2
=16.81π+150πr
2


=






16.81π+150π×(
10
2

)
2







cm
2
=22.81×
7
22

cm
2
=71.68cm
2

Solve the question please

Answers

Answer:

a = 12

b = 9

Step-by-step explanation:

b = 3/4(a)

9 = 3/4(12)

9 = 9

a + b = 21

9 + 12 = 21

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

b = 3/4(a)

-16(1/4) = (3/4) ((37(1/4))

-16 (1/4) = 447/16

False

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

a + b = 21

20 + 11 = 21

31 = 21

False

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

a + b = 21

20 + 15 = 21

35 = 21

False

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

The only correct one was a = 12; b = 9

I hope this helps!

Lea drives for 4 hours at 65 km/h. Hanna drives 252 kilometers in 3 hours.
How far would Lea drive if she drove for 4 hours at the same speed as
Hanna?

Answers

Based on the calculations, the distance covered by Lea is equal to 336 kilometers.

Given the following data:

Lea's time = 4 hours.Lea's speed = 65 km/h.Hanna's distance = 252 kilometers.Hanna's time = 3 hours.

How to calculate speed.

Mathematically, speed is given by this formula;

[tex]Speed = \frac{distance}{time}[/tex]

Next, we would calculate Hanna's speed by using the above formula:

[tex]Hanna's\; speed = \frac{252}{3}[/tex]

Hanna's speed = 84 km/h.

For Lea's distance:

[tex]Distance = speed \times time\\\\Distance = 84 \times 4[/tex]

Distance = 336 kilometers.

Read more on speed here: brainly.com/question/10545161

I am going to give points, and mark as brainliest if anyone solves this, this is very much complicated. Trust Me.​

Answers

Answer:

15m cloth cost $42... is that the answer?

Answer:

30

Step-by-step explanation:

[tex]15\times10\div5[/tex]

Calculate

[tex]\frac{15\times10}{5}[/tex]

Cross out the common factor

[tex]3\times10[/tex]

Calculate the product or quotient

[tex]30[/tex]

I hope this helps you

:)

What is 9 times 5 /8? as a mixed number? somebody please help me find the answer!

Answers

Answer:

5 5/8

Step-by-step explanation:

9 = 9/1

so 9 x 5/8 = 9/1 x 5/8

you could quickly make it 45/8 or make it 9x5/1x8

45/8 is improper so you have to see which multiple of 8 is the highest without exceeding the numerator

40 is the closest and it is 8x5 so 5 will be the integer.

there are 5 leftover so 5 is also the numerator

and the denominator stays 8 as there is no further simplifying

so, the answer is 5 5/8

Answer:

5 5/8

Step-by-step explanation:

9*5/8= 45/8

Mr. Jones bought a cloth of length 3890 cm. How much is the length in m and cm?

Answers

Answer:

38m and 90cm

1m = 100cm

3890cm = 38m and 90cm

Step-by-step explanation:

1m = 100cm

3890cm = 38m and 90cm

It is 3890 cm long

1 m = 100cm -->  3890cm = 38.9 meters

Hope that helps!

Please help i would appreciate it

Answers

Answer:

B

Step-by-step explanation:

divide .80 by 7 which you get .11428571428

then you multiply .11428571428 by 14 and you'll get 1.6 :)

a number is added to 5 and the result is multiplied by one third and gave 27. what is the numeber?​

Answers

Answer:

76

Step-by-step explanation:

5 + X = Y

Y/ 3 = 27

Substitute Y with 5 + X

(5 + X) / 3 = 27

5 + X = 81

X = 76

Answer:

76

Step-by-step explanation:

let the number be n then added to 5 is 5 + n , so

[tex]\frac{1}{3}[/tex] (5 + n) = 27 ( multiply both sides by 3 to clear the fraction )

5 + n = 81 ( subtract 5 from both sides )

n = 76

the number is 76

Math Review Please help and show work if Possible so I know what to do

A photographer needs a frame for an 5 x 7 inch picture, such that the total area is 80 in2. Calculate the width of the frame.
(Note: The frame is the same width all the way around)

Which of the following quadratic equations would be used when solving this?

4x^2 + 12x = 45
4x^2 + 24x = 45
2x^2 + 24 = 45
2x^2 + 12x = 45

Answers

Answer:

4x^2 + 24x = 45

Step-by-step explanation:

Answer:

4x² + 24x = 45

Step-by-step explanation: mark me brainliest!

”The total area of the frame and picture needed by the photographer = 80 in²The size of the picture that will be in the frame = 5 × 7 inchThe length of the picture = 7 inchesThe width of the picture = 5 inchesLet x represent the width of the frame, we get;

The width of the total area = The width of the picture + 2 ×

The width of the frameTherefore, the width of the total area = 5 + 2·x

The length of the total area =

The length of the picture + 2 ×

The width of the frame

Therefore, the length of the total area = 7 + 2·xWe get;

The total area = Total length × Total width 

The total area = (5 + 2·x) × (7 + 2·x) 

We are given that the total area = 80, therefore, by transitive property of equality,

we have;(5 + 2·x) × (7 + 2·x) = 8035 + 10·x + 14·x + 4·x² = 804·x² + 24·x = 80 - 35 = 45∴ 4·x² + 24·x = 45

Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.”

Find the derivative of

[tex]\\ \rm\Rrightarrow y=\dfrac{sinx+cosx}{sinx-cosx}[/tex]

Proper explanation is mandatory


Note:-
Spams/sHort/wrong answers will be deleted on the spot .

Answers

Answer:

y' = 1 / sinxcosx

Step-by-step explanation:

Given :

y = sinx + cosx / sinx - cosx

Applying quotient rule :

y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -

cosx)²

y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²

y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²

y' = -2(sin²x + cos²x) / (sinx - cosx)²

y' = -2 / (sinx - cosx)²

y' = -2 / sin²x - 2sinxcosx + cos²x

y' = -2 / -2sinxcosx

y' = 1 / sinxcosx  [⇒ Final answer]

Answer:

⇒[tex]y'=-\frac{2}{(six-cosx)^{2} }[/tex]

Step-by-step explanation:

⇒Answer in the attachment.

help me pleaseeeeeeeeee

Answers

Answer:

math po ba yun

Step-by-step explanation:

o sience anong subject yan

Pythagorean Theorem: a^2 + b^2 = c^2

a and b are two side lengths, and c is the hypotenuse (“x”, in this case)

Therefore:
(21)^2 + (20)^2 = c^2
441 + 400 = c^2
841 = c^2
c=29

x=29 since x=c

PLEASE HELP RIGHT AWAY WILL GIVE BRAINLIST

Answers

This is the Answer of course

28. Suppose an investment doubles in value every 5 years. This is year the
investment is worth $12,480. How much will it be worth 10 years from now? How
much was it worth 5 years ago?

Answers

I think the answer is in 10 years from now the investment will be worth 24,960 and five years ago it was worth

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