Eric has a jar of quarters and dimes. He had 48 coins in the jar. The total value of the coins is $7.35. How many quarters are.in the jar?

Answers

Answer 1

Answer:

17

Step-by-step explanation:

$4.25 - 17 quarters

$3.10 - 31 dimes

Answer 2

Answer:

17 quarters and 31 dimes are in the jar

Step-by-step explanation:

First, you need to set up two equations based on the information given.

First is an equation for the total number of coins:

48 = d + q

d = dimes

q = quarters

Second is an equation for the total amount in the jar and the respective amount per variable (d = .1 , q = .25).

7.35 = .1d + .25q

Using the first equation, you need to solve for one variable. In this case well solve for d, so we can later plug it in to solve for q.

48 = d + q

d =  48 - q

Next, we can plug our formula for d into our second equation, so we only have one variable to solve for, q.

.1(48-q) +.25q = 7.35

4.8 - .1q + .25q = 7.36

4.8 + .15q = 7.35

.15q = 2.55

q = 17

Finally, to solve for d with a number, we can plug q = 17 back into our first formula : 48 = d + q

48 = 17 + d

d = 31

I hope this helps!

-TheBusinessMan


Related Questions

What is the volume of 3cm 3cm 8cm in cubic centimeters

Answers

Answer:

V=72 cm³

Step-by-step explanation:

V=3 cm*3 cm*8 cm

V=72 cm³

what is the distance between the points (4,-2) and ( -1, 10)​

Answers

Answer:

The answer is 13 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (4,-2) and ( -1, 10)

The distance between them is

[tex]d = \sqrt{ ({4 + 1})^{2} + ({ - 2 - 10})^{2} } \\ = \sqrt{ {5}^{2} + ({ - 12})^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} [/tex]

We have the final answer as

d = 13 units

Hope this helps you

Which of the following correctly uses exponents to write "6 factors of 2"? 2 6 6 ∙ 2 12 6 2

Answers

Answer:

C (6*2)

Step-by-step explanation:

Answer:

6 times 2

Step-by-step explanation:

Im not completely confident though so check other answers

ANSWER IT PLZ! Evaluate the expression 4² + 6 · 5² - 3³ ÷ 3² = ?

Answers

Answer:

= (6×25)

= 150 - (27÷9)

= 150 - 3

= 147

Answer:

163

Step-by-step explanation:

If the radius of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60°? A) 3 5 π cm B) 5 2 π cm C) 5 3 π cm D) 5 6 π cm

Answers

Answer:

The length of the arc is [tex]\frac{5\pi}{3}[/tex] centimeters.

Step-by-step explanation:

The length of an arc ([tex]\Delta s[/tex]) with a given central angle is determined by the following expression:

[tex]\Delta s = \frac{\theta}{360^{\circ}}\cdot 2\pi\cdot r[/tex]

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]\theta[/tex] - Central angle, measured in sexagesimal degrees.

Given that [tex]r = 5\,cm[/tex] and [tex]\theta = 60^{\circ}[/tex], then:

[tex]\Delta s = \frac{60^{\circ}}{360^{\circ}} \times 2\pi \times 5\,cm[/tex]

[tex]\Delta s = \frac{5\pi}{3}\,cm[/tex]

The length of the arc is [tex]\frac{5\pi}{3}[/tex] centimeters.

You go out for lunch at Red Robin and your total tab is $23.75 including taxes. You give a 15% tip to the waitress. What will you pay total?​

Answers

Answer:

the total will be $27.31

15 percent tip is $3.56

Step-by-step explanation:

A rectangle has a length of 12 m and a width of 400 cm. What is the perimeter of the rectangle? (Hint: all units must be the same)
A.2000 cm
B.3200 cm
C.824 cm
D.1600 cm

Answers

Answer:

The answer is option B

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

l = 12m

w = 400 cm

First we must convert the length from meters to centimeters

1 m = 100 cm

12 m = 12 × 100 = 1200 cm

So l = 1200 cm

Substitute the values into the above formula

We have

Perimeter = 2(1200) + 2(400)

= 2400 + 800

We have the final answer as

Perimeter = 3200 cm

Hope this helps you

The original price of a new iPhone is $258.00. If the iPhone is marked down 11%, what is the new price?

Answers

Answer: $229.62

Step-by-step explanation:

mark down 11 %= (1-11%)

original price × percent left after mark down=new price

 258.00 × (1-11%)= $229.62

Hope this helps!! :)

Please let me know if you have any question

Is -7+9=-9+7 true false or open

Answers

Answer:

False.

Step-by-step explanation:

This is false.

When we carry out the operation -7 + 9, this equals 2.

When we carry out the operation -9 + 7, this equals -2.

Therefore, this is false because of the Commutative Property. It states that

a + b = b + a. Therefore, the equation is only true if both a terms would be negative. It can also apply for b terms.

Answer: The equation is false.

Step-by-step explanation:

So we have this equation here:

-7 + 9 = -9 +7

This equation may look like the Commutative Property, but be CAREFUL! It is NOT the Commutative Property because the Commutative Property has the same numbers, not different numbers.

Here is an example of the Commutative Property:

7 - 8 = -8 + 7

5 + 6 = 6 + 5

Did you notice that if there is a negative sign, when it switches (or commutes) the number keeps the negative sign?

Well if this is the case, then let's apply it to this problem.

-7 + 9 = -9 + 7

-7 and 7 are two different numbers, as are -9 and 9

So it is not the same thing as:

-7 + 9 = 9 - 7

Notice that 7 keeps the negative sign.

Even if we solve this problem, it is false.

-7 + 9 = -9 + 7

2 = -2 is not a equality! 2 and -2 are NOT the same.

Therefore, the equation is false!

The sum of Ted's and Leon's ages is
13 years. The sum of Leon's and Andrew's
ages is 15 years. The sum of Ted's and
Andrew's age is 14 years. How old is
each of them?
10 points to whoever solves it

Answers

Answer:

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Step-by-step explanation:

Ted+Leon=13 ⇒T+L=13 ⇒L=13-T

Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted

A=2+T

Ted+Andrew=14

T+A=14  ( substitute Andrew age from A=2+T)

T+2+T=14

2T=12

T=12/2=6 (Ted is 6 years old)A=2+T=2+6=8 ( Andrew is 8 years old)Leon=13-T=13-6=7 ( Leons is seven years old)

check: Ted+Leon=13 ⇒ 6+7=13

Leon + Andrew=15 ⇒7+8=15

Andrew+Ted=14 ⇒ 6+8=14

Write out the steps that you would follow to solve the equation: 3(x-4) = 2x +5

Answers

Answer:

x = 17

Step-by-step explanation:

To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.

3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.

3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.

x - 12 = 5 Add 12 to both sides of the equation.

x = 17

Answer:

[tex] \displaystyle \rm \longmapsto \:3(x - 4) = 2x + 5[/tex]

[tex] \displaystyle \rm \longmapsto \:3x - 12 = 2x + 5[/tex]

Subtract 2x from the both sides:

[tex] \displaystyle \rm \longmapsto 3x - 2x - 12 = 2x - 2x + 5[/tex]

[tex]\displaystyle \rm \longmapsto x - 12 = 5[/tex]

Add 12 to the both sides:

[tex]\displaystyle \rm \longmapsto x - 12 + 12 = 5 + 12[/tex]

[tex]\displaystyle \rm \longmapsto x = 15[/tex]

DA = 0.0
Trapezoid ABCD is congruent to trapezoid EFGH, and the side lengths of ABCD are given. Find GH.
A. 9.0
B. 14.0
C. 20.0
D. cannot be determined

Answers

Answer:

The answer is D - cannot be determined

Step-by-step explanation:

Answer:

B. 14.0

Step-by-step explanation:

just took the test

Clark Kent is paid $0.45 for each person he helps. What is his pay for a day in which he saved 134
people?

Answers

Answer:

$60.30

Step-by-step explanation:

0.45 x 134 = $60.30

apply properties of operatione to write an equivalent expression​

Answers

Answer:

4t

Step-by-step explanation:

All we are doing is combining like terms and since all of then have a "t" in it we would just add the 4 "t's" together like normal addition.

Please Simplify 2(7a+8)=86

Answers

Answer

5

Step-by-step explanation:

First you do whats in the parentheses

So it will look like this

14a+16=86 now you want to get 14a by itself so -16 from 86

then you get 14a=70

now divide 14a from 70 and your answer is 5

a=5

Need help with this solve for x question!

Answers

Answer:

x=4

Step-by-step explanation:

RS + ST = RT

5+ 2x-2 = 3x-1

Combine like terms

2x+3 = 3x-1

Subtract 2x from each side

2x+3-2x = 3x-1-2x

3 =x-1

Add 1 to each side

3+1 = x-1+1

4=x

Earth rotates on an axis through its poles. The distance from the axis to a location on Earth at 40 degrees north latitude is about 3033.5 miles. Therefore a location on Earth at 40 degree north latitude is spinning on a circle of radius 3033.5 miles. Compute the linear speed on the surface of the Earth at 40 degrees north latitude.

Answers

Answer: v = 793.77 mph

Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:

v = ω.r

where

ω is angular velocity

r is radius of the path

Angular velocity is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:

[tex]\omega = \frac{d \theta}{dt}[/tex]

[tex]\omega = \frac{2\pi}{time}[/tex]

The Earth takes 24 hours to complete a rotation, then angular velocity:

[tex]\omega = \frac{2\pi}{24}[/tex]

[tex]\omega =[/tex] 0.262 rad/h

At a location 40° north, radius is 3033.5 miles, so:

v = 0.262*3033.5

v = 793.77

At latitude of 40°north, linear speed is 793.77mph.

17. Ennis has a length of rope that measures 3 yards. He cuts all of the
rope into smaller pieces that measure yard each. How many cuts did ennis make

Answers

Answer:

The answer is 3

Step-by-step explanation:

a unit rate is a rate that compares a quantity to exactly _____ of another quantity ​

Answers

Step-by-step explanation:

a unit rate is a rate that compares a quantity to exactly one of another quantity.

1
For what value of x is the equation -3x + 7 = -17 true?

Answers

Answer:

-3x+7=-17  x=8

Step-by-step explanation:

-3*8+7=-17

Identify the factors of the terms of the expressions.
3. 5+6a+11b


4. 13m-2n​

Answers

Answer:

factors are 5, 6, a, 11, b

Step-by-step explanation:

3)   5 + 6a + 11b

Algebraic expressions: 5 + 6a + 11b

Are combinations of numbers, variables, and at least one arithmetic.

Term are: 5, 6a, 11b

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).

Factors are: 5, 6, a, 11, b

Something which is multiplied by something else. A factor can be a variable, number,  a term, or a longer expression.

 

Coefficient: 6, 11

The numerical factor of a multiplication expression that contains a variable.

 

Constant: 5

A number that cannot change its value.

4).  13m-2n​ (note: it applies as above)

How to convert 1 5/6

Answers

Answer:

11/6 as an  improper fraction

Step-by-step explanation:

1 5/6 is 11/6 as an importer fraction and 1.86 as a decimal  

g(x)=9x/6x-11
Find g(1).

Answers

Answer:

-9/5

Step-by-step explanation:

Suggestion:  If you are dividing by 6x - 11, enclose 6x - 11 inside parentheses to remove any doubt:

            9x

g(x) = -----------

          (6x - 11)

To find g(1) replace x with 1 in the following:

            9x

g(x) = -----------

          (6x - 11)

obtaining ...

            9(1)               -9

g(1) = -------------  =  ----------

          (6[1] - 11)           5

simplify 3/5 x 1/4: fractions work

Answers

Answer:

[tex] \frac{3}{20} [/tex]

Step-by-step explanation:

[tex] \frac{3}{5} \times \frac{1}{4} [/tex]

[tex] = \frac{3 \times 1}{5 \times 4} [/tex]

Simplify

[tex] = \frac{3}{20} [/tex]

If you have any more questions please let me know.

Answer:

[tex]$\large\boxed{\frac{3}{20} = 0.15} $[/tex]

Step-by-step explanation:

[tex]$\frac{3}{5} \cdot \frac{1}{4} = \frac{3 \cdot 1}{5 \cdot 4}=\frac{3}{20} = 0.15 $[/tex]

Can someone solve -5x-10=10 please & thank you

Answers

Answer:

-4

Step-by-step explanation:

-5x-10=10

add 10 to -10 to get rid of it, and to 10 because whatever you do to one side, you have to do to the other

-5x=20

divide -5 into 20

x = -4

A full 500L tank of water is being drained at a rate of 5L per minute into an empty tank. How long will it take fro the tank to have the same amount of water?

Answers

Answer:

50 Minutes

Step-by-step explanation:

For the empty tank to hold the same amount of water, we can simply take the total water of the full tank divided by the rate, divided by two to allow both tanks to be equal, aka, half.

500 L / 5 L per minute / 2

100 minutes / 2

50 minutes.

For both tanks to have the same amount of water, 250L, it would take 50 minutes with a flow rate of 5L per minutes.

Cheers.

If anyone know please lmk

Answers

Answer: -3 and 5

Step-by-step explanation:

good luck!

Tina is t years old, and her age five years ago was one fourth her age
sixteen years from now.

Uhhh pls help

Answers

Answer:

Euh t years old means ?

Step-by-step explanation:

i don't get it

a cafeteria used 128.5 kilograms of beans to make 5 batches of chili. what quantity of beans went into each batch

Answers

Answer:25.7

Step-by-step explanation:

What is 5.424 rounded to the nearest hundredth

Answers

Answer:

5.424 ≈ 5.420

Step-by-step explanation:

5.424

↓4 = Tenth

   ↓2 = Hundredth

      ↓4 = Thousandth

The value of number after rounded to the nearest hundredth is, 5.42

In rounding a number into the nearest hundredth,

We look at the tenths place digit, If tenths place digit is 0, 1, 2, 3 or 4,

Then the number rounded to previous hundredth,

While, if the tenths place digit is 5, 6, 7, 8 or 9,

Then the number is rounded to next hundredth,

Here, the given number is,

⇒ 5.424

Here, Tenths place digit = 2,

Hence, it would be rounded to previous hundred,

Which is, 5.424 ≈ 5.42

Learn more about the rounding number visit:

brainly.com/question/27207159

#SPJ6

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