someone has only quarters and dimes in his piggy bank. He has 152 coins in the piggy bank with the value of $30.50. Determine the system of equations that model this problem. Solve the system. How many quarters and dimes does Everett have

Answers

Answer 1

Answer:

102 quarters

50 dimes

Step-by-step explanation:

y = dimes

x = quarters

We can use the following equations to solve

[tex]152 = x + y[/tex]

[tex]30.5 = .25x + .10y[/tex]

We isolate for y in the first equation

[tex]y = 152 - x[/tex]

We plug into second equation

[tex]30.5 = .25x + .10(152 - x)[/tex]

Reduce

.15x = 15.3

x = 102

We then plug this number in first equation

152 = 102 + y

y = 50


Related Questions

Whats the common denominator of 12 over 24 help now​

Answers

Answer:

12

Step-by-step explanation:

12/12=1

24/12=2

12
because 12 divided by 12 is one
and 24 divided by 12 is 2
so, both of the numbers can be divided by 12

7 students in Ms. Moore’s algebra class earned Bs and that represents 35% of the class. How many students were in the class

Answers

Answer:

20

Step-by-step explanation:

not sure if it is correct:

7÷35=0.2

0.2×100=20

A screen printer can pack up to 24 sweatshirts into a box for shipping.
In which inequality does n represent the minimum number of boxes needed to ship 360 sweatshirts to a customer?

Answers

Answer:

n = 15

Step-by-step explanation:

360 ÷ 24 = 15.

good luck, i hope this helps :)

Answer:

N = 15

Step-by-step explanation:

Write the function that the balance after t years $35000 deposit that earns 9.2% annual interest compounded quarterly

Answers

Answer:A = P(1+r/n)nt

A = 3500(1+.092/4)4t

Step-by-step explanation:

I need help with this it’s annoying me

Answers

Answer:

the 4th option down/second option up

Answer:

the second and fourth options

Step-by-step explanation:

Help me with this!!!

Answers

With what??????

I love your face

James planted a tree in his backyard. The initial height is 5 ft tall. It grows 1/2 ft a year after that.

Answers

Answer:

New height = 11/2 ft

New height = 5 + 1/2(N)

Step-by-step explanation:

Given:

Initial height = 5 ft

Grown height = 1/2 ft

Find:

New height

Computation:

New height = Initial height + Grown height

New height = 5 + 1/2

New height = 11/2 ft

Equation;

New height = 5 + 1/2(Number of year)

New height = 5 + 1/2(N)

find the term to term rule for
7, 6, 8, 7, 9​

Answers

Answer:

-1, +2

Step-by-step explanation:

The difference between the 1st two terms is -1, the difference between the next two is + 2, and so on

2. The cost of Matt and Natalie's dinner was $23.25. They want to leave a
18% tip. What is the amount of the tip they are going to leave?

Answers

Answer:

$4.19 tip

Step-by-step explanation:

23.25 x 0.18 = $4.185

The table shows the approximate diameters of four bacteria cells.
Bacteria Cell Diameters
Cell
Diameter
(meters)
W
0.0000029
x
0.000000024
Y
0.00002
Z
0.00000027

Put them in order from least to greatest diameter

Answers

Answer:B

Step-by-step explanation:

Answer:

I think it's C

Step-by-step explanation:

If the numbers have more zeroes, they are farther from being whole numbers and whole numbers and bigger than decimals. I kind of suck at explaining but that's kind of it

a car dealerships goal is to sell a mean of 35 cars per day. In one week, it sold the following numbers of cars each day: 44 35 23 29 30 21

How many more cars would it have had to sell during the week to meet its goal?
A. 5
B. 25
C. 15
D. 35

Answers

Answer:

Step-by-step explanation:

B. 25

Add 25 to the total of 220 then divide by the 7 days to get a mean of 35 cars

can someone tell me how to solve 8th grade slope! I'll put you as brainliest!! ​

Answers

Answer:

Step-by-step explanation:

Well, the formula to find slope is y2-y1 / x2-x1

Here's an example:

(2,12) (4,24)

12-24 / 2-4 =

-12/-2 or 6

You would use:

(y=mx+b) to find an entire equation, including the y intercept

Let me know if this helps, and if it doesn't, I hope I'll be able to explain it better.


PLEASE ANSWER ASAP !!!!

Answers

Slope = 4/1 or y=4x -8

Answer:

Step-by-step explanation:

(3,4)(4,8)

4/1

m=4

The expression 36/6x2+1 is equal to
13
4
2
18

Answers

Answer:

13

Step-by-step explanation:

....….........….....

the answer is 13 please give brainliest

3. At an ice cream parlor, ice cream cones cost $2.00 and sundaes cost $3.50. One day, the receipts for 114 cones and
sundaes total $301.50. How many cones and sundaes were sold? (Assume tax is included in the cost.)

Answers

Answer:

Number of ice cream cones = 65

Number of sundaes = 49

Step-by-step explanation:

Let

x = number of ice cream cones

y = number of sundaes

x + y = 114 (1)

2x + 3.5y = 301.50 (2)

From (1)

x = 114 - y

Substitute into (2)

2x + 3.5y = 301.50 (2)

2(114 - y) + 3.5y = 301.50

228 - 2y + 3.5y = 301.50

- 2y + 3.5y = 301.50 - 228

1.5y = 73.50

y = 73.50/1.5

y = 49

Substitute y = 49 into (1)

x + y = 114 (1)

x + 49 = 114

x = 114 - 49

x = 65

Number of ice cream cones = 65

Number of sundaes = 49

I need some help pls​

Answers

M=-3
Y-intercept=-4




I hope this helps you

One type of cereal has 2 grams of protein per 1 cup serving. Another cereal has 1 gram of protein per half cup serving. Do these rates form a proportion?

Answers

yes because 1 g per half a cup is equal to 2 grams per cup. multiply the half cup by 2 which gives u 1 then multiply the 1 g that gives u 2 g

Please help me this is due in 10 minutes!
Find the surface area of the shapes.
Please please help me!!!!

Answers

Answer:

5=1482ft

6=205.04ft

not sure for both of em

Step-by-step explanation:

pls help Find the area of the shape shown below.

\text{ units}^2 units
2

Answers

Answer:

8 sq units

Step-by-step explanation:

area of square in middle is 2 x 2 = 4 sq units

area of one triangle is 1/2(2)(2) = 2 sq units

however, there are two triangles, so you have to double 2 to get 4

4 + 4 = 8

Answer:

8cm^2

Step-by-step explanation:

Method 1: It's a trapezium, so take the top length, (6cm), add it to the bottom length (2cm) = 8cm which is then divided by 2 (4cm) then multiplied by the height (2cm) giving an area of 8cm squared.

Method 2: area of the square = 2 x 2 = 4cm^2

Triangle 1: 2 x 2 = 4, divided by 2 = 2cm^2

Triangle 2: same as triangle 1.

Total: 4 + 2 + 2 = 8cm^2

what is the sum for nine plus ten

Answers

Answer:

9+10= 19

Hope this helps you! :)

Answer:

21

Step-by-step explanation:

Duh

9. What is the range of the relation [(4, 2), (1, 1), (0, 0). (1.-1). (4, -2) ?​

Answers

Answer:

{-2,-1,0,1,2}

Step-by-step explanation:

When we are talking of the range, we are referring to the possible y-values the relation can take

Hence, a set of y-values will represent the range of the relation

we have this as:

{2, 1 , 0, -1 , -2}

Arranging in order, we have ;

{-2,-1,0,1,2}

A swimming pool can be filled at the rate of 25 liters per minute using a special pump. How many hours will it take to fill a pool that holds 5,000 liters of water? Round to the nearest hunredth.

Answers

Answer:

3.33 hrs

Step-by-step explanation:

5000 liters divided by 25 liters per minute = 200 minutes

Answer:

3 hours and 20 minutes

Step-by-step explanation:

Divide: 5,000 divided by 25=200

200 minutes= 3 hours and 20 minutes

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

CAN YOU PLZZZZZZZZZ HELP ME WITH THIS

Answers

Answer:

b

Step-by-step explanation:

(:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Here is your GUIDE for you to go by}\downarrow[/tex]

[tex]\bullet\bold{\ \geq \ or \leq \ will\ have\ a\ \underline{CLOSED}\ or\ \underline{SHADED\ circle}}\\\bullet\bold{\ >\ or\ <\ will\ have\ a \ \underline{O P E N E D\ circle}}\\\bullet{\bold{\leq \ or\ \geq\ has\ its\ ENDING\ POINT\ as\ part\ of\ its\ solution}}\\\bullet\bold{>\ or <\ the\ END\ POINT\ ISNT\ have\ its\ part\ of\ the\ solution }[/tex]

[tex]\bold{\ Random\ GUIDE\ \#2}\downarrow[/tex]

[tex]\bold{1. \geq is\ GREATER\ or\ EQUAL\ TO}\\\bold{2. \leq\ is\ LESS\ or\ EQUAL\ TO}\\\bold{3. >\ is\ GREATER\ THAN}\\\bold{4. < \ is\ LESS\ THAN}[/tex]

[tex]\bold{6>x}[/tex]

[tex]\bold{Well, based\ on\ your\ GUIDE\ we\ can do\ PROCESS\ OF\ ELIMINATION.}\\\\\bold{REMEMBER: < or > will\ have\ a\ O P E N E D\ circle.\ This\ throws\ A\ \& C}\\\bold{as\ your\ results\ because\ they\ are\ CLOSED\ CIRCLES\ and\ we\ are}\\\bold{looking\ for\ O P E N E D\ circles. This\ leads\ B\ & D\ as\ your\ POSSIBLE}\\\bold{result}[/tex]

[tex]\bold{>\ equals \ GREATER\ THAN}[/tex]

[tex]\bold{Graph\ B.\ is\ SHADED\ to\ the\ LEFT\ which\ we\ need}[/tex]

[tex]\bold{Graph\ D.\ would\ be\ TOO\ BIG}[/tex]

[tex]\boxed{\boxed{\bold{Answer: Option\ B.\ }}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite40:)}[/tex]

A rectangular park is 75 yards wide and 115 yards long.
Give the length and width of another rectangular park that has the same perimeter but a larger area
HELP DUE AT ONE

Answers

Answer:

74 yards wide and 116 yards long

Answer:

Step-by-step explanation:

Remark

Later on, in a not so distant future, you will learn that the maximum area of a rectangle can be obtained when you are dealing with a square.

So to get the maximum area, change the rectangle into a square. Leave the perimeter the same.

Formulas

Perimeter = 2L + 2W

Perimeter = 4*s for a square

Area = s^2

Givens

L = 115

P = 75

Solution

P = 2 * 115  + 2 * 75

P = 230 + 150

P = 380

Perimeter of a square

P = 4*s                Substitute

4s = 380            Divide by 4

s = 95

Check

Area of  original Rectangle = 115 * 75 = 8625

Area of the derived square = 95^2 = 9025

After the neighborhood block party 2/4 of the brownies were left in the pan. Then Claire ate 1/6 of the leftovers. How much of the entire pan did she eat?

Answers

Claire at 2/4 of the brownie and 1/6 of the leftover.
Claire ate 2/4 of brownies all the left overs

The cost(c)of chicken varies directly as its weigth(w)equation​

Answers

Answer:

[tex]c = kw[/tex]

Step-by-step explanation:

Given

c varies directly as w

Required

Write the equation

c varies directly as w.

Mathematically, this is represented as:

[tex]c\ \alpha\ w[/tex]

Convert to equation.

[tex]c = kw[/tex]

Where k is the constant of variation

In Little Kitty City, the tax rate is 7.25%. What would the tax be on a $500 TV? (Hint: Change 7.25% to a decimal by moving the decimal two spots to the left.

Answers

Answer:

Tax amount = $36.25

Step-by-step explanation:

The tax rate is 7.25%.

We need to find the tax be on a $500 TV.

It can be calculated as follows :

[tex]C=500\times 7.25\%\\\\=500\times \dfrac{7.25}{100}\\\\=\$36.25[/tex]

So, the required tax on $500 TV is $36.25.

Which elements make up a water molecule?

A) hydrogen and nitrogen
B)oxygen and nitrogen
C) oxygen and carbon
D) hydrogen and oxygen

Answers

Answer:

D) Hydrogen and Oxygen

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Water is made of both hydrogen and oxygen

Exit Which algebraic expression below represents four multiplied by a number? A. 4 – x B. x + 4 C. 4x D.

Answers

Answer:

C. 4x

Step-by-step explanation:

Considering the options

A.4 – x - This is the difference between 4 and a number x

B. x + 4 - This is the sum of a number x and 4

C. 4x - This is the product of a number x and 4

D.

From the above, option C which is the product of x and 4 is same as four multiplied by a number.

Which is the graph of the equation y=-3/2x+6

Answers

Answer:

here's the graph

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