A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)

Answers

Answer 1

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer 2

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d


Related Questions

If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?

Answers

Answer:

[tex](g\circ f)(-1)=36[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]

And we want to find:

[tex](g\circ f)(-1)[/tex]

This is equivalent to:

[tex]=g(f(-1))[/tex]

So, evaluating f(-1) first, we acquire:

[tex]f(-1)=-(-1)+5=6[/tex]

Then by substitution:

[tex]=g(6)[/tex]

So:

[tex]=(6)^2=36[/tex]

Therefore:

[tex](g\circ f)(-1)=36[/tex]

Your answer is indeed correct.

Answer:

please refer to the above attachment.

36 is the right answer.

What is the gradient of the line that passes through the points (0,0) and (5,-10)

Answers

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (5, -10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m. Slope and gradient is the same.

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{-10-0}{5-0}[/tex][Fraction] Subtract:                             [tex]\displaystyle m=\frac{-10}{5}[/tex][Fraction] Divide:                                [tex]\displaystyle m=-2[/tex]

Answer:

Let "m" be the slope of the line passing through the point.

[tex]m = \frac{y_ 2 - y_1}{x_ 2 - x_1 } = \frac{( - 10 - 0)}{(5 - 0)} = \frac{ - 10}{5} = \boxed{- 2 }[/tex]

-2 is the gradient of the line that passes through the points (0,0) and (5,-10).

What is the product?
[4 2] x [-2 5 7 -1]

Answers

Answer:

The answer is C

Step-by-step explanation:

an online company lets you download songs for 1$ each after you have payed a 5$ membership fee the maximum amount of songs you can download in a month is 100 how much do you pay

Answers

Answer:

$105

Step-by-step explanation:

5 + 1 (100)

5 + 100

105

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.

Circle C and P overlap. Circle C contains 10, circle P contains 8, and the intersection contains 4. Number 3 is outside of the circles.

Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?

Two-sevenths
Two-fifths

Answers

Answer:

Two-sevenths

Step-by-step explanation:

It's the smallest amount just like the middle number

Answer:

2/7

Step-by-step explanation:

Write the
following in
slope-intercept
form:
7x - 2y = -6

Answers

y = 7/2x + 3 is the slope-intercept form

2y = 7x + 6 or the simplified version would be y = 7/2x + 3

Step-by-step explanation:

u just gotta know that slope intercept form is the equation y=mx+b

PLSSSSS HELP ME!!! 80 Points!!
What is the apparent solution to the system of equations?
y = -2 +2
y=40 +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.

Answers

Answer:

y=−x+2y=4x+7   NO

y=−x+2               YES

y=4x+7            

Multiply the first equation by 4, obtaining:              4y = -4x + 8

Add the 2nd equation to this result:                          y = 4x  + 7

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

                                                                                5y = 15, and y = 3

Then, using the first equation, determine x:

y = 3 = -x + 2

      1 = -x, so x = -1

The solution is (-1, 3)

Answer: (-1; 3)

Step-by-step explanation:

y = -x + 2

y = 4x + 7

4x + 7 = -x + 2

4x + 7 + x - 7 = - x + 2 + x - 7

5x = - 5

x = - 1

y = 4(-1) + 7

y = 3

Intersection point: (-1; 3)

See the solution on the photo

At basketball camp , kylie made 18% of her free throws. Based on this information which is the best prediction of the number of free throws she will make out of 50 attempts

Answers

Answer:

9 free throws. that is the answer that I got

Can anybody help please I’ll mark brainlist!

Answers

182.5 times 0.12 is 2.19, so the answer is $2.19.

A rectangle made of squares is shown . The length of the side of each square is 1 cm create an equation to find the area of the rectangle. Move numbers an symbols to the lines

Answers

Answer:

See Explanation

Step-by-step explanation:

The rectangle is not shown. To solve this question, I'll make use of the attachment.

Apply the same steps, and you'll get the answer to your question.

From the attachment, we have:

[tex]Rows = 3[/tex]

[tex]Columns = 4[/tex]

Since the length of each square is 1 cm, then

[tex]Row = 3cm[/tex]

[tex]Column = 4cm[/tex]

So, the area is:

[tex]Area = Row * Column[/tex]

[tex]Area = 3cm * 4cm[/tex]

[tex]Area = 12cm^2[/tex]

Donovan was playing a basketball shooting game in the arcade. He made 15 shots and missed 25 shots. What is the percentage of shots Donovan made in the basketball game?

Do not round your answer.

Thank you for the help :)

Answers

Answer:

r

Step-by-step explanation:

Please help will give brainlist to first answer due at 10 15 An artist mixes yellow paint with blue paint to make a certain shade of green. The ratio of yellow to blue is 3 to 5. How much yellow paint should the artist mix with 20 ounces of blue paint. Write a proportion and solve.

Answers

Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

I will give Brainlesst please help and 100 point :) Question 2 (5 points)
(04.02 LC)
Which graph shows a proportional relationship between the number of hours of
renting a bike and the total amount spent to rent the bike? (5 points)

Answers

Answer:

Neither of the graphs show a proportional relationship.

Step-by-step explanation:

A proportional relationship is also known as a linear relationship, where when the points are plotted on the graph, the points increase or decrease at a constant rate. This will appear as a straight line with NO change.

If (1/4)^2-y, =1 find the value of y

Answers

First you need to do square 1/4, which equals 1/16

1/16 - y = 1

Then you subtract 1/16 on both sides

-y = 1 - 1/16

Then subtract 1/16 from 1

-y = 15/16

Then divide by -1 to make y positive

answer —-> y = -15/16

Whos your favorite operator in rainbow six seige

Answers

Answer:

It has to be Maverick how about u

Step-by-step explanation:

Answer:

Niclas "Pengu" Mouritzen

Step-by-step explanation:

Find a country located in the temperate zone (USA, Canada, India, Europe Japan, New Zealand etc.) then using their climatic data from a two-year period, complete the following tasks:

a) Find the highest and the lowest temperatures recorded.

b) Use these two numbers to find the amplitude.

c) Find the period of the function.

d) Draw the graph using the Sine or cosine function.

e) What can you infer about the trend of the temperature now?

Answers

Answer:

i dont see what the top part says??

Step-by-step explanation:

Can someone help me please with all these pleaseeee

Answers

all of them???
/
/
/
/
/
/
:
sssss

Help please ............

Answers

Answer: 0.45

Step-by-step explanation:

(no 2 and 4) 15%+30% = 45%

45/100 = 0.45

Directions: Find the value of x.
Round each answer to the nearest tenth.

Answers

Answer:

this answer is not available at the moment

Step-by-step explanation:

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.
PLZ FAST

Answers

Answer: A.)Jillian’s car holds more gasoline and gets better gas mileage

Shelley delivered 10 newspapers after 20 minutes and 30 newspapers after 60 minutes what is rate of change that represents how many paper shelley's delivering every minute​

Answers

Answer:

1 newspaper per 2 minutes

Step-by-step explanation:

If you look at 10 newspapers per 20 minutes, you can divide newspapers by minutes which gives you 10/20 = 1 newspaper per 2 minutes. To check the answer, you can do 2*30=60 since 2 minutes per each newspaper would equal 60 minutes.  

Hope this helps!

Esther and her 6 brothers went shopping at the mall. She shopped in 12 different stores while her brothers each shopped in 8 different stores. How many stores did Esther and her brothers shop in altogether?

Answers

Answer:

60 stores

Step-by-step explanation:

Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping

From the question, she shopped in 12 different stores

Each of her six brothers shopped in 8 different stores

That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores

The total number of stores is thus, 48 + 12 = 60 stores

A beam bridge has a total length of 168 yards. The bridge is supported at both ends and has three additional supports in the water. What is the span between any two consecutive supports?​

Answers

The answer is 6

Step-by-step explanation:

6-65

The  total length of a beam bridge is 168 yards. then the span between any two consecutive supports is 23 approx.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that the total length of a beam bridge is 168 yards.

The Total number of supports on the bridge = 1 at both end + 3 additional = (1 + 3 + 1) = 5 supports

Arch lies in between two successive supports ;

Hence, the number of archs = 5

Hence, width of arch = (5 * x) = 5x meters

Width of support = 2 meters

The Total width of support : (2 * x+ 1) = 2(x + 1) meters

Hence,  the total distance of bridge :

Total arch width + total support width

5x  + 2(x + 1) = 168 meters

5x + 2x + 2 = 168

7x = 166

x = 23 approx

Hence, the span between any two consecutive supports is 23 approx.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

what is the rate and equation

Answers

Answer:

The rate law or rate equation for a chemical reaction is an equation that links the initial or forward reaction rate with the concentrations or pressures of the reactants and constant parameters (normally rate coefficients and partial reaction orders).

Step-by-step explanation:

A person can bike 48 miles in 2 hours. At this rate how long will it take this person to travel 66 miles? Show work please!!!

Answers

Answer:

Convert to a decimal by dividing the numerator by the denominator.

2.75  hours

Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

72/6=12

64/4=16

A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:

Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21

Answers

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

Answer:

21

Step-by-step explanation:

The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?
g() = (5)***
g(x) = ()
g() = ()' +4
g(x) = (13) -4

Answers

Answer:

c

Step-by-step explanation:

Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this change. What is another way to write this expression?

Answers

Answer:

lw/4

Step-by-step explanation:

Area of a rectangle = length × width

= l × w

Area of a rectangle = let

reduce the area of his rectangular garden by one-fourth

= 1/4 * lw

= 1/4lw

What is another way to write this expression?

Another way to write the expression is

= 1/4 * lw

= lw / 4

Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28
ounce bottles and one 64-ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?

A. 360 ounces

B. 180 ounces

C. 90 ounces

D. 190 ounces

Answers

(4x28)+64
112+64
176
Rounded to the nearest ten it would be 180
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