Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have? First complete the equations below, where N stands for nickels and D stands for dimes. [?]N + [ ]D = 1.65; N + D ​

Sofia Has 25 Coins In Nickels And Dimes In Her Pocket For A Total Of $1.65. How Many Of Each Type Of

Answers

Answer 1

Answer:

Step-by-step explanation:

Let n represent nickels & d dimes

given: n + d = 25 #1 (number of coins)

given: .05n + .10d = 1.65 #2 (amount in dollars)

n = 25 - d #3 (rewrite of #1)

.05(25 -d) + .10d = 1.65 (substitute #3 in #2)

1.25 - .05d + .10d = 1.65 (multiply out the left side)

.05d = .40 (collection of like terms)

d = 8 (divided both sides by.05)

n + 8 = 25 (substitute answer for d in #1)

n = 17 (subtract both sides by 8)

There are 8 dimes and 17 nickels.

Check:

17(.05) + 8(.10) = 1.65 (answers in #2)

.85 + .80 = 1.65 (multiply out the left side)

1.65 = 1.65 ✔️ QED

Answer 2

Answer:  There are 8 dimes and 17 nickels.

Step-by-step explanation: 0.05N+.10D=1.65; N+D=25


Related Questions

The table below show the approximate population of Virginia for 5 years. What is the
equation of the line of best fit?

Answers

Answer:

Y = 0.09X1 - 167.40

Step-by-step explanation:

Year (X) : 2000, 2004, 2006, 2007, 20008

Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77

Using technology, the regression model obtained is :

Y = 0.09X1 - 167.40

With a slope of 0.09 and intercept of - 167.40

HELP
Which Trig ratio should be used to find the missing side?


A.Sin

B.Cos

C.Tan

Answers

Answer:

It's Tan.

Multiple Thumbs-up ^_^

Samir bought 3 pounds of cement to repair the cracks in his sidewalk.

Each crack needs to be filled with 2 ounces of cement.

Answers

Answer:

The answer is 24 cracks will be filled

Step-by-step explanation:

hope it helps :3

16 ounces in a pound.  convert pounds  to ounces

calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.

The amount of cracks to be filled : 48 /2  = 24 cracks

Which of the following expressions has the greatests value?

Answers

Nene you have to put the screenshot

HELLO CAN SOMEONE HELP ME! MATH :) NO FAKE ANSWERS PLS :D

Answers

Answer:

60 cm²

Step-by-step explanation:

The area is:

A = 12*6 - 3*4 = 60 cm²

Answer:

[tex]60cm {}^{2} [/tex]

A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.

Answers

Number    Frequency     Probability  

1                      4                  0.13

2                      6                  0.20

3                      5                  0.17

4                      7                  0.23

5                      3                  0.10

6                      5                  0.17

total                30                 1.00

To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

5/30 = 1/6 or 0.166 or 16.6% or 17%.

What is the correct answer???

Answers

The answer is the last choice “113ft”

Both sides of an equation can be multiplied by the same number without changing the solution of the equation.

Answers

Answer:

Just as you can add or subtract the same exact quantity on both sides of an equation, you can also multiply both sides of an equation by the same quantity to write an equivalent equation. Let's look at a numeric equation, to start.

Step-by-step explanation:

Write the absolute value equation that is represented by the graph ​

Answers

Answer:

y = |x + 2| - 5

Step-by-step explanation:

The triangle and the rectangle have the same area
calculate the value of w.
Show your working

Answers

Answer:

2.5 cm

Step-by-step explanation:

6*5=30

30/2=15

That's the area of the triangle

The area of the rectangle must also equal 15

6*w=15

Divide by both sides by 6

This gives you: 2.5

The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm

Used the formula of area of the rectangle and area of the triangle which states that,

Area of rectangle = Length × Width

And, Area of triangle = 1/2 × Base × Height

Given that,

The triangle and the rectangle have the same area.

Here, in a triangle;

Base = 5 cm

Height = 6 cm

So, the Area of the triangle is,

[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]

[tex]A = 15 \text{ square cm}[/tex]

In a rectangle;

Length = 6 cm

Width = w cm

So, the area of a rectangle,

[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]

Since the triangle and the rectangle have the same area.

So, equate both the area of the triangle and rectangle,

[tex]6 \times w = 15[/tex]

Divide both sides by 6,

[tex]w = \dfrac{15}{6}[/tex]

[tex]w = 2.5 \text{ cm}[/tex]

So, the value of w is 2.5 cm

To learn more about the triangle visit;

brainly.com/question/1058720

#SPJ4

12 divided by 1 1/5 plz hurry asap

Answers

Answer:

10

Step-by-step explanation:

Answer:

10 :)

Step-by-step explanation:

12 divided by 1 1/5 is the same as:

It is always easier to convert the fraction into a decimal:

like we converted 1/5 into .20.  

[tex]\frac{12}{1.2}[/tex]=10

A question you can ask yourself is:

How many times can you multiply 1.2 to get 12?

1.2*10=12.

Hope it helps! :))

Simplify: [3(2a)3/2] 2

Answers

Answer:

2=18a

Step-by-step explanation:

Solve the compound inequality.

7x>-35 and -5x ≥ -50


A. -5< x≤10
B. -5≤x≤10
C. 5≤x≤10
D. 5>x≤10

need help

Answers

The answer is d I just did a test like this and got it wrong so it told me the answer hope u get a better grade

Answer:

A. -5< x≤10

Step-by-step explanation:

7x>-35 and -5x ≥ -50

7x>-35

x>-5

-5x ≥ -50

x≤ 10

so, the result is:

-5< x ≤10

Mr. Claussen needs a total of 15 pounds of ground beef to make hamburgers for a company picnic. He finds that 2 pounds of ground beef cost $4.40.At this rate, how
much should Mr. Claussen plan on spending for the 15 pounds of ground
beef?
A $66.00
B. $33.00
C. $19.40
D. $2.20

Answers

Answer: your answer should be 33.00/B

Step-by-step explanation:

Because u need to divide 15 by 2 = 7.5

Then Times that my 4.40

U get 33 dollar

We want the following inequality to be true: IMAGE BELOW!

Answers

Answer:

B. X=7

Step-by-step explanation:

Because 9 greater than 7

I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”

Answers

Answer:

Radius, r = 2.80 cm

Step-by-step explanation:

Given the following data;

Volume of cylinder = 207 cm³

Height = 8.4 cm

Pie, π = 3.14

To find the radius of the water bottle;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

V is the volume of a cylinder.

r represents the radius of the cylinder.

h represents the height of the cylinder.

Substituting into the formula, we have;

207 = 3.14 * r² * 8.4

207 = 26.376r²

r² = 207/26.376

r² = 7.85

r = √7.85

Radius, r = 2.80 cm

Find the value of x and y

x = 45° , y = 45°

x = 117° , y = 117°

x = 27° , y = 63°

x = 63° , y = 27°​

Answers

Step-by-step explanation:

X=63 and Y=27 is the correct answer.

Paula is draining her fish tank.
When she starts draining it, the height of the water is 33 cm.
Six minutes later, the height of the water is 15 cm.
Question: If the water continues to drain
at this rate until it is empty, how many
total minutes will it take Paula to drain
her fish tank?

Answers

Answer:

If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.

Step-by-step explanation:

In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.

Determine whether AB is tangent to the circle with center c

Answers

9514 1404 393

Answer:

  yes, no, no

Step-by-step explanation:

The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.

__

a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent

__

b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent

__

c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent

Can anyone help? I’ll give Brainly! Thank you :)

Answers

Answer:  (-1, 6)

==============================================================

Explanation:

f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.

x^2-2x+3 = -6x

x^2-2x+3+6x = 0

x^2+4x+3 = 0

(x+3)(x+1) = 0 .... see note below

x+3 = 0 or x+1 = 0

x = -3 or x = -1

Note: 3 and 1 multiply to 3, and also add to 4.

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

Once we get the x values, we plug them into either equation to find the y value.

So if x = -3, then

f(x) = x^2-2x+3

f(-3) = (-3)^2-2(-3)+3

f(-3) = 9 + 6 + 3

f(-3) = 18

or we could say

f(x) = -6x

f(-3) = -6(-3)

f(-3) = 18

Both versions produce the same output when x = -3.

The second version is easier to work with.

Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.

-----------

We'll use this idea for x = -1 now

f(x) = x^2-2x+3

f(-1) = (-1)^2-2(-1)+3

f(-1) = 1 + 2 + 3

f(-1) = 6

or we could say

f(x) = -6x

f(-1) = -6(-1)

f(-1) = 6

Like before, both versions of f(x) produce the same output when the input is x = -1.

The other solution is (-1, 6)

ASAP PLEASE HELP FAST if you can do any of them please do

Answers

Answer:

Number 7: D. 378 ft

And I'm Not Sure About The Others

Step-by-step explanation:

Answer:

question 8 : 157 m²

Step-by-step explanation:

cone volume:. π×r²×h/3

3,14×25×6/3 = 157 m²

If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)​

Answers

Answer:

100000

Step-by-step explanation:

First multiplt the given njmber with 2000 and subrat total number givem

Answer: c

Step-by-step explanation:

someone help
NO LINK IM SO FR NO LINKS

Answers

Answer:

I think iit's no consistent

Step-by-step explanation:

no consistent because there is no multiplying happening and no consistent adding happening

What would this answer be?

Answers

Answer:

A

Step-by-step explanation:

the ' is always the image, so we see how all the letters that have ' in it are bigger than the ones that dont have ' in it.

I’m pretty sure it’s A I’m sorry if it’s not but that’s what I would put.

Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?

Answers

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

i will give Brainiest if you are right

Answers

Answer:

i think the answer is C

Question 6
In triangle ABC, what is the measure of angle C if A = 85°, a = 35, and c = 15?
Round the answer to the nearest hundredth.

Answers

Answer

36.45?

Step-by-step explanation:

I think you just divide 85 by 35 and multiply 15 with that answer. 85/35 = 2.43

15x2.43 = 36.45

If 3x + 10 = 10 + 2x, what is the value of x?
A) x = 4
B) x = -4
C) x = -1
D) x = 0

Answers

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Can you help me with this question

Answers

Answer:

308 (Third Option)

Step-by-step explanation:

Have a Great Day! :D

Find the whole number equal to the fraction below. Enter your answer in the space provided. 21 /3​

Answers

Answer:

the answer is 7

Step-by-step explanation:

divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped

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