A collection of 22 dimes and quarters has a total value of $4.00. Write a system of equations that defines this situation and solve using any method.

Answers

Answer 1
Since dimes + quarters = 22
And dimes are 0.10 cents as quarters = 0.25 cents
Let’s make d = dime, q = quarter
d + q = 22
0.10d + 0.25q = 4.00
Let’s use substitution
d + q = 22, get d or q by itself
d = 22 - q (plug into second equation)
0.10(22-q) + 0.25q = 4
2.2 - 0.10q + 0.25q = 4
2.2 + 0.15q = 4
0.15q = 1.8, q = 12
Since there are 12 quarters you know there are 10 dimes (22 in total)

Solution: 10 dimes, 12 quarters

Related Questions

Emerson deposited $194 into the bank. What will the balance be if Emerson left the money there for 7 years with an interest rate of 7.67%?

Answers

Answer:

You just have to round to the cent place to get your answer

Step-by-step explanation:

Hope it helped!

-Brainly User

Answer:

298.16

Step-by-step explanation:

you divide 7.67 by 100 then you would take that number and multiply it by 194 and 7 and then add your total to 194

So i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap

Answers

Answer:

3x - (15 x 3) = 90

or

3x - 45 = 90

Explanation:

There are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45

Therefore, the first part is 3x - 45

We also know that in the end we have 90 left.

So our final equation is:

3x - 45 = 90

Find the diameter and circumference


9 m

Answers

Answer:

d = 18, c = 56.55

Step-by-step explanation:

Solution

d=2r=2·9=18

C=2πr=2·π·9≈56.54867

Find the value of x

Answers

Answer:

x = 12

Step-by-step explanation:

Both angles have the same measurement, therefor you can set your formula up as

9x + 1 = 11x-23

9x + 1 + 23 = 11x

24 = 2x

24/2 = x

12 = x

What is the vertex of the parabola? y+1=−14(x−2)2 Enter your answer in the boxes.

Answers

Answer:

y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1

Step-by-step explanation:

in quadrilateral ABCD shown the two diagonals AC and BD intersect at point E

Which of the following statements, along with the given information, is both necessary and sufficient to prove that ABCD is a parallelogram?
A) AC 1 BD
B) AB CE and BE DE
C) AB CD and BS CE
D)m ABC + m/BAD - 180

Answers

Answer:

your answer is B AB CE and BE DE

So mark me as brainliest

The statements that are necessary and sufficient to prove that ABCD is a parallelogram are, (B), (C) and (D).

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

From the properties of parallelograms the statements that are necessary and sufficient to prove that ABCD is a parallelogram are,

[tex]\overline{AE}[/tex] ≅ [tex]\overline{CE}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{DE}[/tex]  as diagonal of a parallelogram bisect each other.

[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex] opposite sides of a parallelogram are equal.

m∠ABC + m∠BAD is 180° as the sum of the adjacent sides in a parallelogram are supplementary.

learn more about parallelograms here :

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Four lines are shown in the graph below.



Which line has the slope with the greatest value?

A
line A

B
line B

C
line C

D
line D

Answers

Answer:

D

Step-by-step explanation:

A vertical line will have the steepest slope

What is the answer pls I will mark as brainless

Answers

Answer:

-10

Step-by-step explanation:

24+8-(7x6)

Using the change-of-base formula, which of the following is equivalent to the
logarithmic expression below?
log, 18

Answers

Given:

The logarithmic expression is:

[tex]\log_718[/tex]

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

[tex]\log_ba=\dfrac{\log_ca}{\log_cb}[/tex]

The given expression is:

[tex]\log_718[/tex]

Using the change-of-base formula, we get

[tex]\log_718=\dfrac{\log_c18}{\log_c7}[/tex]

Where, is a constant and c>0.

Let [tex]c=10[/tex], then

[tex]\log_718=\dfrac{\log_{10}18}{\log_{10}7}[/tex]

Therefore, the correct option is a.

A(4,10) and B (6,12)
(1) Find the distance between A and B

Answers

Answer:

2.8284

Step-by-step explanation:

Input Data :

Point 1(xA,yA)(xA,yA) = (4, 10)

Point 2(xB,yB)(xB,yB) = (6, 12)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(6−4)2+(12−10)2(6-4)2+(12-10)2

= √22+2222+22

= √4+44+4

= √88 = 2.8284

Distance between points (4, 10) and (6, 12) is 2.8284

What are the solutions of the equation 3x^2 +13x=10 ?

Answers

X= 2/3 and negative 5

Find the perimeter and Area of the rectangle

Answers

the answer is x^2+5(0) because the theorem matches the equation equally

Answer:

p is 5 by 7 the a is 3 by 6

Step-by-step explanation:

Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. If there are 320 students at Megan’s school, about how many of them ride the bus to school each day?

Answers

Answer:

224 student ride the bus to school each day.

Step-by-step explanation:

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:

G

Step-by-step explanation:

Because it is an equation

Solve this inequality. 7d-1<6d

Answers

Answer: d < 1

I used A app and it said that

PLS HELP ME I NEED THIS DONE IN A FEW MINUTES

Answers

Answer:

(2,2)

Step-by-step explanation:

Midpoint formula, and plug in the numbers.

Hope this helps.

(x1+x2)/2,(y1+y2)/2

(1+3)/2,(3+1)/2

4/2,4/2

(2,2)

I cant download the answers.

Answers

Answer:

add it then it will be easy than downloading

Answer:

{-3, -2, -1}

Step-by-step explanation:

Why would the polynomial, "[tex]x^2+5x-24[/tex]" factor out to (x-3)(x+8)?

Answers

Step-by-step explanation:

5x can also be written as " -3x + 8x " so:

[tex]x^2+5x-24 = x^2-3x+8x-24[/tex]

Using the distributive property:

[tex]x(x-3)+8(x-3)[/tex]

Then again, using the distributive property (but in reverse):

[tex](x-3)(x+8)[/tex]

The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.

For eg (because that was a bit text heavy):

The product of the last term and the first coefficient (1 * (-24)) is -24

the factors of -24 include (and their sum)

-1, 24 (23)

1, -24 (-23)

-2, 12 (10)

2, -12 (-10)

-3, 8 (5)

3, -8 (-5)

-4, 6 (2)

4, -6 (-2)

The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.

HeLP PLEASE OH LORD ITS TIMED 20 POINTS AM I RIGHT??? IF NOT WHATS THE ANSWER

Answers

Answer:

you are correct :D

Step-by-step explanation:

HELP

find the value of x in a circle 8,x, 20,36

Answers

Answer:

8.8 i think

Step-by-step explanation:

5 blue, 3 white, 1 red, 7 green light bulbs in a bag. The probability to pull a blue or red is... ?

Answers

Answer:

2.6

Step-by-step explanation:

what ratio is the same as 2/3?
a ) 8 / 12
b) 6 / 12
c) 9 / 12
d) 10 / 12

Answers

Answer: a) 8/12

Step-by-step explanation:

Both numbers have to be the same for it to be equal: More info below.

The answer is a) because 8 divided by 2 is 4, and 12 divided by 3 is also 4.

It is not b) because 6 divided by 2 is 3, but 12 divided by 3 is 4.

Not c) because 9 divided by 2 is 4.5, and 12 divided by 3 is 4.

Not d) because 10 divided by 2 is 5, and 12 divided by 3 is 4.

Therefore, the answer is a) 8/12.

Hope this helps!

What is the area of this figure?
33 mi
7 mi
16 mi
20 mi
13 mi
17 mi
square miles

Answers

Your answer is 452 square miles

There are 5,400 bricks on a pallet. There are 9 crates of bricks on each pallet. How many bricks are in each crate? Enter your answer in the box.

Answers

5400 divided by 9 would be 600

Answer:

600

Step-by-step explanation:

5400/9=600

Assuming you have the same amount of bricks in each crate there would be 600 bricks in each of the 9 crates. Hope this helps :)

HELPP MEE!!! Find the total area of the figure below. Round your answer to the nearest tenth.

Answers

Answer:

area = 110.72 m²

Step-by-step explanation:

area of square = 8 x 9 = 72 m²

area of triangle = 1/2 x 3 x 9 = 13.6 m²

area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²

total area = 72 + 13.6 + 25.12 = 110.72 m²

PLEASE HELP!!!!!! !!!:!;!!;!

Answers

Answer: the dark blue one

Step-by-step explanation:

Can somebody help me out my grade are bad

Answers

Answer:

use ph0tomath it'll answer it for you and show how to do it

Y=3

Since X is equal to 5, we can substitute and do 5+Y=8 then we subtract 5 from both sides and are left with 3

can sb pls answer this for me im having a really hard time

Answers

The answer to A) is .0062 cents per inch

Estimate the circumference of the circular base of the object. Round to the nearest hundredth if necessary.

D battery with radius 0.65 in.

circumference: ___ in.

Answers

Answer:

4.09

Step-by-step explanation:

Circumference=

[tex]2\pi \times r[/tex]

The circumference of the circular base of the object is 4.082 in

What is circumference?

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.

Given that, we need to find the circumference of the circular base of the object, whose radius is 0.5 in

The circular object is referred as circle, the circle's circumference is its boundary length measured in unit whose power is always 1, like m, cm, km etc.

Here, if we calculate the circumference of the object, we will get,

The circumference of any circular object given by :-

C = 2π×radius

C = 2×3.14×0.65 = 4.082 in

Hence, the circumference of the circular base of the object is 4.082 in

Learn more about circumference, click;

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Triangle ADE is proportional to Triangle ABC. Given the side lengths in the diagrams, what is the length of AD?



Group of answer choices

11 in

6 in

8.75 in

8 in

Answers

Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

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