Peter has 22 coins, all dimes and quarters whose total value is $4.30 how many of each coin does he have PLEASE HELP!!!!!

Answers

Answer 1

Answer:

8 dimes and 14 quarters.

Step-by-step explanation:

d and q are the number of dimes and quarters, respectively.

"22 coins, all dimes and quarters"

d+q = 22

d = 22-q

"total value is $4.30"

0.10d + 0.25q = 4.30

substitution

0.10(22-q) + 0.25q = 4.30

2.2 + 0.15q = 4.30

q = 14

d = 22-q = 8

8 dimes and 14 quarters.


Related Questions

Find the area of the shaded region formed by circle that touches the edges of a rectangle.

Answers

Answer:

[tex] 266.14 \: {cm}^{2} [/tex]

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

Area of the shaded region = Area of rectangle - Area of circle

[tex] = lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2} [/tex]

y+5=2(x+1)
Only (5,10)
Only (-1,-5)
Both
Neither

Answers

Answer: only (-1, -5)

Step-by-step explanation:

If x= -1 and y= -5

(-5)+5= 2((-1)+1)= 0

y+5 = 2(x+1)

y+5 = 2x+2

y-2x = 2-5

y-2x = -3

2x-y = 3

2(5)-(10) = 3

10-10 = 3
0 = 3
option A is incorrect

2(-1) - (-5) = 3

-2 + 5 = 3

3 = 3

Option B is correct

v^2-6v+ complete square?

Answers

The answer is v² - 6v + 9.

Explanation:

To form perfect square:
v² - 6v

= v² - 6v + (6/2)²

= v² - 6v + (3)²

= v² - 6v + 9

Hope it helps!

0.9(x-20)=830
What does x equal?

Answers

Answer:

x = [tex]942\frac{2}{9}[/tex]

Step-by-step explanation:

0.9 ( x - 20) = 830

0.9x - 18 = 830

0.9x = 848

9x = 8480

x = [tex]942\frac{2}{9}[/tex]

Polygons ! ( picture included)

Answers

Answer:

B

Step-by-step explanation:

2x+x=180

3x=180

x=60

2x=120

so B

hope that helps if it does please mark mine as brainliest.

Answer:

The answer would be B

Step-by-step explanation:

Hope this helps

I need help with my geometry!

Answers

Answer:

142 degrees

Step-by-step explanation:

180-38

Answer:

[tex]142[/tex]°

What is the Rule for this sequence?
97, 86, 75, 64, ...

Answers

You subtract eleven each number back.

Hey! please help me out.. I would really appreciate it!
With step by step explanation!

Answers

question

3)

[tex]y = 2x[/tex]

answer

[tex] \frac{y}{2 } = x[/tex]

question

[tex]5 - y = 3x[/tex]

answer

[tex] x= \frac{5 - y}{3} [/tex]

question

4)

[tex]y = 5x + 20[/tex]

answer

[tex]x = \frac{y - 20}{5} [/tex]

question

[tex]y = x + 4 [/tex]

answer

[tex]x = y - 4[/tex]

question

5)

[tex] - 3x - 2y = - 12[/tex]

answer

[tex]x = - \frac{2(y - 6)}{3} [/tex]

question

[tex]y = 5x - 7[/tex]

answer

[tex]x = \frac{y + 7}{5} [/tex]

question

6)

[tex]y = 3x - 22[/tex]

answer

[tex]x = \frac{y + 22}{3} [/tex]

question

[tex]y = 2x - 15[/tex]

answer

[tex]x = \frac{y + 15}{2} [/tex]

all you have to do is plus, subtract and divide

HOPE IT WORKS!

What is a 18% tip on a $40.00 haircut

Answers

Answer:

$7.2

Step-by-step explanation:

Answer:

$7.20

Step-by-step explanation:

is this a function?

Answers

yes, its a function!!

Multiplying polynomials

Answers

Answer:

multiply each term in one polynomial by each term in the other polynomial. add those answers together, and simplify if needed.

Step-by-step explanation:

I need help lol............

Answers

Answer:

y=4x-1

Step-by-step explanation:

I plugged the table into Desmos and I determined the slope and intercept from that.

the equation to find the slope is
(y2-y2)/(x2-x1)

plug in two points from the table:
(7- -5)/(2- -1) = 12/3 = 4

the slope is 4

plug in one of the points and the slope into point slope form:
y+5 = 4 (x+1)

solve to find slope intercept form:
y+5 = 4x + 4
y = 4x - 1

answer: y = 4x - 1

At Ned's newsstand, 4 magazines cost $24.00 how many magazines could you buy with $60.00 help

Answers

11. But probably if their is tax like 10 lol. But 11

You can buy 10 magazines in $60.

What is unit rate?

A unit rate means a rate for one of something.

Given that, the cost of 4 magazines is $24.00

For 4 magazine → $24

So, for 1 magazine = 24/4 = $6

So, in $60,

60/6 = 10

Hence, you buy 10 magazines in $60.

For more references on unit rate, click;

https://brainly.com/question/11258929

#SPJ2

Please awnser this and give me the right awnser

Answers

Variable is b
Coefficient is 8
Constant is 3.2

Hope this helps

Can I have brainliest?!?

The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2)

What are the coordinates of Point C'? C'(___,____)

What are the coordinates of Point A? A(____,_____)

Answers

Answers:

C ' (2, 5)A (16, 8)

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

Explanation:

I'm assuming you mean to say "scale factor of s = 1/3" since the green triangle is smaller than the red triangle.

Let's start at the point (4,2). This is the center of dilation. This fixed point does not move or change as you apply any dilation (as long as you keep this as the center of course). Every other point will move. For instance, the point (10,14) moves to (6,6) after applying the dilation.

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

The x coordinate of the center point (4,2) is x = 4.

The x coordinate of the point (10,14) is x = 10.

Going from (4,2) to (10,14) will have us move a horizontal distance of 10-4 = 6 units.

Take 1/3 of this horizontal distance and we get (1/3)*6 = 2. This means that if we started at the center point (4,2) and move 2 units to the right, we will have the x coordinate to be x = 4+2 = 6, which matches up with the x coordinate of the point (6,6)

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

We'll do the same sort of thing with the y coordinates

The point (4,2) has the y coordinate y = 2

The point (10,14) has the y coordinate y = 14

The vertical distance between those points is 14-2 = 12 units

One third of this is (1/3)*12 = 4

If we started at (4,2) and moved up 4 units, then the y coordinate goes from y = 2 to y = 2+4 = 6. This also matches (6,6)

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

Hopefully by now you have a sense of how this all works. Let's use these tricks to find the location of point A.

The horizontal distance from (4,2) to (8,4) is 8-4 = 4 units. This triples to 4*3 = 12 units. We triple here because we're going in reverse of the process described in the previous two sections. If (8,4) and A swapped places, then we would take one third instead.

We'll use that 12 to count out 12 horizontal spaces from (4,2) to get to (16,2). I added 12 to the x coordinate of (4,2).

Repeat the process for the y values. The vertical distance from (4,2) to (8,4) is 2 units, which triples to 6. Add 6 onto the y coordinate of (16,2) and we arrive at (16, 8) which is the location of point A.

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

Now let's find the location of point C'

The horizontal distance from (-2,11) to (4,2) is 6 units because |-2-4| = 6. Multiply this by 1/3 and we get (1/3)*6 = 2

To get to the location point C', we need to start at (4,2) and move to the left 2 units. That means (4,2) will move to (2,2) as a temporary location.

We apply the same idea for the y coordinates. The vertical distance from (4,2) to (-2,11) is 9 units. This leads to (1/3)*9 = 3 units being the vertical distance from (4,2) to the location of C'. We'll add 3 to the y coordinate of (2,2) to arrive at (2,5) which is the location of C'.

a land area was divided among three heirs in the ratio 5:2:4 . if the largest share was 20 hectares of the land .what is the total area of the land

with solution please and what type of proportion thank you very much

Answers

Answer:

44 hectares

Step-by-step explanation:

The largest number in the ratio is 5 and corresponds to the largest share.

The largest share is 20 hectares.

20/5 = 4

Multiply each number in the ratio by 4 to get the number of hectares of that portion.

5 * 4 = 20

2 * 4 = 8

4 * 4 = 16

20 + 8 + 16 = 44

Answer: 44 hectares

If you need to show a proportion, then do it this way.

The ratio is 5:2:4

Add 5 + 2 + 4 = 11

The ratio of the largest portion to the total area is

5/11

The largest portion is 20 hectares, and the total area is unknown, so we use x. The ratio of the largest portion to the total area is

20/x

We set the two ratios equal creating a proportion.

5/11 = 20/x

Cross multiply

5x = 11 * 20

Divide both sides by 5

x = 11 * 4

x = 44

Answer: 44 hectares

14 less than 6 multiplied by a number

Answers

Answer:

6n - 14

Step-by-step explanation:

6n - 14?

6 times a number (6n) minus 14 (-14)

put together = 6n - 14

14 - 6 = 8 then 8 times 5 is 40, 40 is the answer :)

What is the area of these shapes?

Answers

Answer: 1 number the area is 7200

Step-by-step explanation:

i really need help please anyone

Answers

-3/4 is the slope of the line

Here is another question. It wants me to solve it

Answers

Answer:

[tex]x>-11[/tex]

Step-by-step explanation:

[tex]10+2x>-12[/tex]

Subtract both sides by 10

[tex]10+2x-10>-12-10\\2x>-22[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}>\frac{-22}{2} \\x>-11[/tex]

I hope this helps!

Answer:

x > -11

Step-by-step explanation:

Determine whether (3,2) is a solution of y = 3x +2.​

Answers

Answer:

This point is not a solution to the equivalence

Step-by-step explanation:

Becouse if we put x= 3 then y= 11

[tex]y = 3 \times 3 + 2 = 11[/tex]

HELP WHAT IS THE SLOPE!!!!!!

Answers

Answer:

4/3

Step-by-step explanation:

rise over run

gradient=80/60=4/3

i think it is e but I am not sure. If someone knows the answer, please reply

Answers

The answer is true you’re welcome

Answer: You are correct it is E

Step-by-step explanation:

Saw the question answered on brainly so its correct

what is 260 add 212 multiplied by 234 minus 1000

Answers

Answer:

its 48,868

Step-by-step explanation:

Answer:

48 868

Step-by-step explanation:

260+212×233-1000

260+(212×233)-1000

260+49 608-1000

49 868 - 1000

=48 868

2 cups of sugar are needed for each gallon of lemonade. How many cups of sdgar would be needed
for 9 gallons of lemonade.

Answers

Answer:

18 gallons

Step-by-step explanation:

2 cups of sugar times 9 gallons of lemonade is 18

10. What is the exponent in this equation: 5*(x-2) = 125 *
O
Х
Ox-2
O 5
O 125

Answers

Answer:

x-2

Step-by-step explanation:

I need help pleaseseee

Answers

Answer:

Area of figure:  (4y - 7)(x + 6y + 1)

Step-by-step explanation:

The height of the figure is 4y - 7 and the length is x +  6y + 1.

The area of the figure is the product of height and length, or:

(4y - 7)(x + 6y + 1)

for what values of x is the expression below defined? x+4

Answers

Answer:

D

Step-by-step explanation:

It’s D
I got it right

Write the expression:

The quotient of the sum 3y and 5, and y squared.

Answers

Answer:

(3y + 5) / (y^2)

Step-by-step explanation:

Sorry it's not actually in fraction format. That little button thing is having troubles atm on my end. Hope this is okay

can someone help me get the answers to this worksheet

Answers

Answer:

no se ingles lo siento y de paso mientale la madre al trup por puto rasista

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