Peter has been saving his loose change for several days. When he counted his quarters and dimes, he found they had a total value $19.20. The number of quarters was nineteen more than three times the number of dimes. How many quarters and how many dimes did Peter have?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let's use variables to represent the unknowns:

Let's say that x is the number of dimes Peter has

Let's say that y is the number of quarters Peter has

From the problem, we know that the total value of his coins is $19.20. We can write an equation based on this information:

0.1x + 0.25y = 19.2

We also know that the number of quarters is 19 more than three times the number of dimes. We can write another equation based on this information:

y = 3x + 19

Now we have two equations and two variables, so we can solve for x and y.

Substitute the second equation into the first equation:

0.1x + 0.25(3x + 19) = 19.2

Simplify and solve for x:

0.1x + 0.75x + 4.75 = 19.2

0.85x = 14.45

x = 17

Now that we know x, we can use the second equation to find y:

y = 3x + 19 = 3(17) + 19 = 70

Therefore, Peter has 17 dimes and 70 quarters.

Related Questions

What is the Cubed root of -108

Answers

Answer:

about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Calculator

Your calculator will tell you the cube root of -108 is about -4.7622.

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

∛-108 = -3∛4

<95141404393>

A storage tank is in the shape of a cylinder with a hemisphere on the top. The highest point on the inside of the storage tank is 13 meters above the floor of the storage tank, and the diameter inside the cylinder is 8 meters. Determine and state, to the nearest cubic meter, the total volume inside the storage tank.

Answers

The volume of the tank of water is 653.12 cubic meters.

How to get the volume?

For a cylinder of height H and diameter D, the total volume is given by:

$V = 3.14*(D/2)^2*H$

In this case, we know that:

D = 8m

H = 13m

Replacing that in the above equation:

$V = 3.14*(8m/2)^2*13m = 653.12 m^3$

So the volume of the tank of water is 653.12 cubic meters.

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Compare the square root of one hundred forty and one hundred five ninths using <, >, or =.

square root of one hundred forty is greater than one hundred five ninths
square root of one hundred forty is equal to one hundred five ninths
one hundred five ninths is greater than square root of one hundred forty
square root of one hundred forty is less than one hundred five ninths

Answers

The square root of one hundred forty is less than one hundred five ninths. So, option D is correct.

According to this question we have to compare the square roots of both numbers One Hundred Forty and One Hundred Five Ninths. So, we have to calculate their square roots.

The square root of One hundred Forty: √140

The square root of One hundred Forty: 11.832

The square root of One Hundred Five Ninths: √159

The square root of One Hundred Five Ninths: 12.609

Comparing both of their square roots we can clearly see that :

(11.832) < (12.609)

The square root of 140 < Square root of 159

Hence, option D is correct. The square root of 140 is less than 159.

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Could someone help me out? I don't get it

Answers

I first went to the factored form of the zeroes which is (x-2)(x+1)(x+5), then i did the FOIL (first inner outer last) strategy. (If the factored form wasn’t listed, you could find it through changing the sign)

(x-2)(x+1)(x+5)
(x^2-x-2)(x+5)
x^3-x^2-2x+5x^2+5x-10

So after simplifying this, you are left with

A.) x^3+4x^2-7x-10

Hope this helps!

which expression is equivalent to 5x +2-x10

Answers

Answer:

x= 30

Step-by-step explanation:

3+2-1441+x= 30

X= 30

Answer: 5x+2-x10= 30

In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x Cost, y 2 8.50 5 15.25 8 22.00 12 31.00 What is the y-intercept of this function? 2.25 4.00 6.50 17.13

Answers

Answer:

B. 4.00$

Step-by-step explanation:

Answer:

Step-by-step explanation:

A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root of 5 with multiplicit
6. If the function has a positive leading coefficient and is of odd degree, which could be the graph of the function?

Answers

Answer:

Below

Step-by-step explanation:

You didn't show any choices.....here are some similar:

A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile
costs $2.05 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest
cent.
Sal will pay $1
to tile his entryway.

Answers

Answer: 89.18

Explanation:none your welcome

H
6:00 PM
What is a frostbite?

Answers

Its a skin injury that occurs when exposed to extreme low temperatures, causing the freezing of the skin or other tissues, commonly affecting the fingers, toes,nose, ears, cheeks and chin areas.

what is the slope of an equation of the line that passes through the point (3,-5) and has a slope of 0

Answers

Answer:

y=0x-5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

An electronics store has a 20% off sale. If a stereo originally costs $125

Answers

Answer:

Step-by-step explanation:

1234567891011121314151617181920

PLEASE HELP ME ON QUESTION ASAP!!
IF YOU HAVE A TOPIC LIST IN YOUR EXAMS AND IT SAYS AVERAGES AND THE RANGE ARE YOU GOING TO BE HAVING MEAN AND RANGE IN YOUR TEST OR MEAN, RANGE MODE, MIDPOINT BASICALLY ALL OF IT ? IF ANSWERS CORRECT ILL RATE YOU FIVE STARS, GIVE YOU A THANKS AND MAYBE EVEN BRAINLIEST (sorry for caps)

Answers

Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number. Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.

Trey runs each lap in 8 minutes. He will run at least 9 laps today. What are the possible numbers of minutes he will run today? Use t for the number of minutes he will run today. Write your answer as an inequality solved for t.

Answers

Answer:

72$\leq$t

Solution:

8(9)$\leq$ t

If he can run more than 9 laps today, but might not, then the total number of minutes can be more then or equal to nine laps.

4. Kaya ran 1 2/5miles on Monday and 2 1/3 miles on
Tuesday. What was the total distance, in miles, Kaya
ran during those 2 days?

Answers

Answer: 3 11/15 please mark brainliest If I helped you.

the question is kayar and 12 by 5 miles on Monday and 21 by three miles on Tuesday what is the total distance in miles kayuren during those two days first phone on Monday how much run that was 12 by 5 miles on Tuesday Shirin to 1 by 3 minus now this whole part and fractional part are written separately so this can be converted into a mixed fraction like when a number is of the form of p by see that is one whole number and fraction then it is written as a + b by c so we can write Monday that was 12 by 5 miles that is

12 by 1 + 2 by 5 that will be 5 will be LCM of 5 + 2 will be 7 by 5 MI and Tuesday it will be 21 by 3 that is 2 + 1 by 3 3 will be the LCM of 3 and 22 will be 6 plus one that is 7 by 3 minus in question is asked that what was the total distance kayar and thus during today's so Monday plus Tuesday will be the total total 27 by 5 + 7 by 3 that will be equal to LCM will be 15 this will be X 307 into 3 + 7 and 25 that

is 21 + 45 upon 15 that will be equal to 56 upon 15 Now since we have to give answer in mixed fraction in whole number and fraction this a bi bi can be divided into a whole number and fraction part when divided by be the remainder is remainder is written here b is written here and question is written here so 56 by 15 can be written as 15 and 23 is 45 three years question remainder will be 11:00 that is 56 - 45 and below will be the denominator will be 15 so this is our answer and the correct

After completing your analysis of the rating system, you determine that any rating greater than or equal to 3.5 points can be considered a high rating. You also know that Chocolate and Tea considers a bar to be super dark chocolate if the bar's cocoa percent is greater than or equal to 70%. You decide to create a new data frame to find out which chocolate bars meet these two conditions.
Assume the first part of your code is:
best_trimmed_flavors_df <- trimmed_flavors_df %>%
You want to apply the filter() function to the variables Cocoa.Percent and Rating. Add the code chunk that lets you filter the data frame for chocolate bars that contain at least 70% cocoa and have a rating of at least 3.5 points.
What rating appears in row 1 of your tibble?
0 / 1 point
3.75
3.50
4.25
4.00

Answers

As a result, option two (3.50) is correct.

Step-by-step explanation:

The code chunk that allows you to filter the data frame for chocolate bars with at least 70% cocoa and a rating of at least 3.5 pounds is as follows

∴ filter(Cocoa, percent>='70%'&Rating>=3.5)

Therefore, the code you write is facet wrap(Cocoa. Percent). Facet wrap() is a function in this code chunk that allows you to wrap a variable's facets. All of the ingredients are derived from cocoa beans. Cacao solids (the "brown" part, which contains health benefits and the unmistakable chocolatey flavor) and cacao butter (the "white" part, which contains the chocolate's fatty component) are split in proportion.

As a result, 3.5 appears in row 1 of your Tibble.

Other options I (iii), and (iv) are incorrect because the question states that any rating greater than or equal to 3.5 points can be considered a
high rating, and the rating here should be 3.5, not 3.75, 4.25, or 4

So, option (ii) is correct.

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Multiply (do no round): 190.8 x 0.04 =

Help please

Answers

Answer:

7.632

Step-by-step explanation:

A rectangle has an area of 18 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
B
C
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
4 cm and 5 cm

Answers

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Ayudaaaaaaaaaaa.............

Answers

-4+(-9)
Es la repuesta

Find the value of x.

The angle measures of 2 x degrees, 90 degrees, and x degrees sum to 180 degrees.

Answers

Answer:

x = 30°

Step-by-step explanation:

2x + 90 + x = 180

3x = 90

x = 30

Topic: Angles

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

$ \huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}$

♨ Step - by - step explanation

☯ Given angles :

2x° , 90° , x°

☯ To find :

Value of x

✎ Set up an equation and solve for x :

$ \sf{2x \degree \: + 90 \degree \: + \: x \degree = 180 \degree}$

Add the like terms. Remember that Only coefficients of like terms can be added or subtracted.

➺ $ \sf{3x \degree + 90 \degree = 180 \degree}$

Move 90° to right hand side and change it's sign

➺ $ \sf{3x \degree = 180 \degree - 90 \degree}$

Subtract 90° from 180°

➺ $ \sf{3x \degree = 90 \degree}$

Divide both sides by 3

➺ $ \sf{ \frac{3x \degree}{3} = \frac{90 \degree }{3} }$

➺ $ \boxed{ \sf{x = 30 \degree}}$

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

❑ Rules for solving an equation

If an equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets, if any.Collect the terms with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

10 1/5 as a percent

Answers

Answer:

20 percent

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100.

The answer is $ { \underline{ \boxed{ \orange{ \tt{1020\:percent}}}}} $

Hope it help ;)

PLEASE ANSWER AS SOON AS YOU CAN I WILL MARK BRAINLY

Answers

Answer:

it is A (9,7)

Step-by-step explanation:

it is moving up 5 units so that means that the 4 in (4,7) is a y so on the y- axis it will go up 5 so 4 plus 5 is 9 and the X stays the same which is 7

24°
Solve for c.
= [?]°
C =
60% C
Enter

Answers

Answer:

96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

Angle sum theorem

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

180° -60° -24° = 96°

Alternate interior angles

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

C = 96°

<95141404393>

The following list shows how many brothers and sisters some students have:

3
,

4
,

4
,

5
,

5
,

2
,

5
,

4
,

6
,

3
,

6
,

5
,

3

State the mode.

Answers

Answer:

Step-by-step explanation:

So we have the set of numbers: 3,4,4,5,5,2,5,4,6,3,6,5,3.

Mode just means the most repeated number so let's sort them into groups.

(2) (3,3,3) (4,4,4) (5,5,5,5) (6,6).

the most repeated number is 5 which we see in the sequence about 4 times.

Andre pidió prestado al prestado al banco un capital de 350,000 por lo cual el banco le cobrará un 6%de interés mensual cuánto debe pagar por un mes de interés

Answers

Andre borrowed 350,000 from the bank and the bank will charge him 6% interest per month. To calculate the amount he has to pay for one month of interest, we can use the following formula:

Interest = Capital * Interest rate

In this case, the capital is 350,000 and the interest rate is 6%. So, we can plug in the values:

Interest = 350,000 * 0.06

Interest = 21,000

Therefore, Andre has to pay 21,000 for one month of interest.

Given ΔACP≅ΔLNX, find each missing measure.

Given ACPLNX, find each missing measure.

Answers

Answer:

XL = PC

AC = NX

PC = XL

Angle L = Angle C

Angle C = Angle L

Angle X = Angle P

Step-by-step explanation:

My question is #6 but I am confused on it

Answers

$\begin{gathered} a\parallel b,b\parallel c,\Rightarrow a\parallel c \\ \text{ Assume:} \\ a\nparallel c \\ If_{\text{ }}a\nparallel c \\ Then_{\text{ }}a\nparallel b_{\text{ }}or_{\text{ }}b\nparallel c \\ \end{gathered}$

Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?

Answers

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

NO LINKS!!!
Consider the interval.
(-∞, 9]
State whether the interval is bounded or unbounded.
a. bounded
b. unbounded
Represent the interval with an inequality
a. x > 9
b. x≥ 9
c. x≥-9
d. x < 9
e. x ≤ 9
Sketch the graph

Answers

Answer:

a. unbounded

e. x ≤ 9

Step-by-step explanation:

The interval means all real numbers less than or equal to 9.

Since all numbers to negative infinity are included, it is unbounded.

a. unbounded

e. x ≤ 9

A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.

Answer:

b. unbounded

e. x ≤ 9

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

A bounded interval is an interval that includes both its endpoints.

For the interval (-∞, 9]:

The endpoint -∞ is not included.The endpoint 9 is included.

Therefore, the given interval is unbounded.

Inequality notation

< means "less than"> means "more than"≤ means "less than or equal to"≥ means "more than or equal to"

Therefore, the given interval is represented by the inequality x ≤ 9.

To sketch the graph on a number line:

Place a closed circle at 9.Shade to the left of the closed circle.

To sketch the graph on a coordinate plane:

Plot a solid line at x = 9.Shade to the left of the line.

NO LINKS!!!Consider the interval. (-, 9]State whether the interval is bounded or unbounded. a. bounded

Which graph represents the function below?
h(x)= {-3x+2, x ≤ 2}
{1/2x -4, x > 2}

Answers

Answer is the third graph it was just an error..

Solve the trigonometric equation: 5sin theta+3=0 for values of theta from 0° to 360

Answers

Answer:

126.9° and 323.°1

Step-by-step explanation:

I'll use x instead of theta and you can replace it by theta

5 sin x + 3 = 0

5 sin x = - 3

Sin x = - 3/5

Key angle = sin¯¹ 3/5 = 36.8698

Sin negative, so we use the third and fourth quadrants

X = 90+36.8698, 360-36.8698

X = 126.8698, 323.1302

Theta = 126.9°, 323.°1

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