A number of dimes and quarters are worth $2.55. If the number od dimes and quarters were interchanged the resulting new amount would be $2.70. How many of each kind of coin were there before the interchange?

Answers

Answer 1

Answer:

8 dimes

7 quarters

Step-by-step explanation:

Let number of

Dimes = x ; quarters = y

10x + 25y = 255 ___(1)

25x + 10y = 270 ___(2)

From (1)

10x = 255 - 25y

x = (255 - 25y) / 10

x = 25.5 - 2.5y

Put x = 25.5 - 2.5y in (2)

25(25.5 - 2.5y) + 10y = 270

637.5 - 62.5y + 10y = 270

-52.5y = - 367.5

y = 367.5 / 52.5

y = 7

x = 25.5 - 2.5(7)

x = 25.5 - 17.5

x = 8


Related Questions

933 months
years
months

Answers

Answer:

933mounths=77years and 9 mounts

Answer:

[tex]77\frac{3}{4}[/tex] years = 933 months

77.75 years = 933 months

Step-by-step explanation:

1 year = 12 months

y = 933 months

[tex]\frac{1}{12}= \frac{y}{933}[/tex]

12 × y = 933 × 1

12y = 933

12y ÷ 12 = 933 ÷ 12

y = 77.75

Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?

Answers

Answer:

x = 31°

Step-by-step explanation:

Recall ;

Supplemtary angles summ up to 180°

Given that :

ABC and DEF are Supplementary angles and hence sum up to 180°

ABC + DEF = 180°

(2x + 10) + (3x + 15) = 180

2x + 10 + 3x + 15 = 180

2x + 3x + 10 + 15 = 180°

5x + 25° = 180°

5x = 180 - 25

5x = 155

x = 155 / 5

x = 31°

1. Given the lines shown here, what are two possible equations for this system of equations?​

Answers

Answer:

i just need help pasing 5th grade can you help by giving me a link so i can get  answers to quistions pls

Step-by-step explanation:

Rectangle ABCD has vertex coordinates A(1, -2), B(4,-2),
C(4,-4), and D(1,-4). It is translated 1 unit to the left and 3
units up. What are the coordinates of A?
O A. (0,1)
O B. (2,-5)
O C. (4, -3)
O D. (-2,-1)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Locus of a shape.

Here, the left movement is in x direction and vertical or up movement is in the y direction.

so we get as,

A(1,-2) ==> 1 towards left => 0

and 3 units up => 1

hence the new co-ordinates are A(0,1)

hence, A(0,1) is correct option

how many units of meters make a kilometer?

Answers

ANSWER: 1000m


EXPLANATION: 1 km = 1000

the circumference of a circle is about 29.202 inches. the circles area is about ___ square inches.

use 3.14 for pi.
round your answer to the nearest tenth.​

Answers

29.202 divide by 3.14 = 9.3

Circle area is about 9.3 square

Answer:

110

Step-by-step explanation:

really Gregg gift vg6

Parallelogram Properties - Angles

Answers

Answer: x=30°

Step-by-step explanation:

A parallelogram always add up to 360°.

Opposite angles like F and H are always the same, so H=150°.

150+150=300 (what angles F and H add up to)

So we can do:

360-300=60

Now we know that the angle x and E have to add up to 60 but still be the same, so x will equal 30°.

We can check this by adding up all of the sides:

150+150+30+30=360°

Hope this helped :)

i need help with this please

Answers

Answer:

diameter = 24 yards

Step-by-step explanation:

C = π·d

75.36 = 3.14d

d = 75.36/3.14

d = 24

7) Usain Bolt is almost 7 foot tall. What is this height (approximately) in meters?​

Answers

Answer:

since 7 feet is 2.1336

aproximatly would be 2.08 rounded 2 meters

Step-by-step explanation:

Find the median of the data set.

{28,36,78,22,65,38,49,36}

Answers

Answer:

37 because 37 was in the middle of all these value when placed dorm smallest ro biggest

URGENT PLS HELP: If the transit telescope is 4.5 feet above the ground at the first location during this reading, how wide is the trench? (ANSWER FOR 30 POINTS)

Answers

Answer:

37.45'

Step-by-step explanation:

The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then

tan( 31°) = Height / base, with the base representing the width of the trench

base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench

y / 4 + 8 = 22 Answer?

Answers

Answer:

y = 3.5

Step-by-step explanation:

First, you do 14/4 which = 3.5

Hope this helps!

Answer:

y/4+8=22

y/4=22-8

y/4=14/1

y=56

0.051x40(0.5+0.01)x40 using distributive property

Answers

Answer:

41.616

Step-by-step explanation:

Noah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would Noah use to make 3 1/6 recipes? Write your answer as a fraction or as a whole or mixed number.

(Please help me)​

Answers

Answer:

1 7/12 cups

Step-by-step explanation:

1/2 x 3 1/6  =  1/2 x 19/6  =  19/12 or 1 7/12

For 1 he uses half cup

For 3 1/6 of the same recipe

He would use:-1/2*3 1/6

19/12 cup of vinegar

=1 7/12(Answer)

1. Solve for xº. 52°

can someone help me please

Answers

Answer:

x=38°

Step-by-step explanation:

x° and 52 make up a right angle, which is 90°, so for an equation you can do

x+52=90

subtract 52 on both sides and you get

x=38

The two smaller angles, when added together = a right angle, which = 90°. You’ll see them called “complementary angles” (add up to 90°)

So 52 + x = 90
x = 38

Two similar solids have a scale factor of 3:4. What is the ratio of their areas?


27:64


9:16


6:8


3:4

Answers

9:16

area =scale factor squared


HELPP ME PLEASE!!!
(don’t answer if you don’t know/for points,or i’ll report you.)

Answers

Answer:

4) -15 + (3)

Step-by-step explanation:

1: -9-(-9) = -9-9 = 0

2: -2-(6) = -2-6 = -8

3: 15 + (-7) = 15 - 7 = 8

4: -15 + (-3) = -15-3 = -18

-18 is the smallest value

3) Sumalee's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 8 senior citizen tickets and 10 child tickets for a total of $162. The school took in $180 on the second
day by selling 10 senior citizen tickets and 10 child tickets. What is the price each of one senior citizen
ticket and one child ticket?

Answers

Answer:

$380

Step-by-step explanation:

add the money then add the other numbers

first to answer correclty gets brainelist! thx pls help:)

Answers

Answer:

Its C

Step-by-step explanation:

Hep yep help helphelp

Answers

Answer:

pretty sure it's A

Step-by-step explanation:

cuz a common factor of 9 and 10 is 90 do the calculations and it should be simple.

choose the correct letter

Answers

Answer:

I would say A

Step-by-step explanation:

C) About 390

Mark with crown please!

I need the answer pls

Answers

Answer:

Mean = 25, Median = 21, Mode = 38, Range = 23

Step-by-step explanation:

sort from smallest to greatest

15, 18, 19, 21, 26, 38, 38

mean = [tex]\frac{sum}{# of terms}[/tex] = [tex]\frac{175}{7}[/tex] = 25

median = middle = 21

mode = more than 1 of the same # = 38

Range = largest - smallest = 38-15 = 23

Can someone help me please?

Answers

Answer:

2. 216cm3

3. 748.75

Step-by-step explanation:

Cube v=Bh

To get Base area 9cm x 4cm=36cm2

36cm2 x 6cm=216cm3

Write the equation of the line that passes through the points (9, -8) and (-7,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y=-0.6875x -1.8125

y= -11/16x -29/16

Step-by-step explanation:

6.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.


A. 212; your car travels 212 miles.

B. 1/53; Your car travels 53 miles every 1 hour.

C. 53/1; Your car travels 53 miles every 1 hour.

D. 10; your car travels for 10 hours.

Answers

The answer is D hope this helps

Answer:

D. 10; your car travels for 10 hours.

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!! I DONT HAVE MUCH TIME! 15 POINTS❗️

Answers

Answer:

negative slope, y= -x+2

Step-by-step explanation:

Negative slope y=-x+2

Big brain is why

A rectangular prism has a length of 2 feet a height of 18 feet and a width of 20 feet What is its volume, in cubic feet

Answers

Answer:

720 ft³

Step-by-step explanation:

volume is  length × width× height

2×20×18 = 720

If eight people share some pizza and get three slices each, how many slices would six people get ?

Answers

Answer:

18

Step-by-step explanation:

You can forget about how many people their our in whole and focus on 6 x the amount they get, which is 3.

Answer:

4

Step-by-step explanation:

8*3=24 so there are 24 slices

24/6=4

so 6 people get 4 slices each

Corine bought 2 iced guava passionfruit drinks and 3 iced pineapple matcha drinks for herself and 4 friends from Starbucks. Both drinks cost the same amount. Corine gave the barista $30, who then gave her back $4.75 in change. Let x represent the price of a drink. How much did one drink cost?

Answers

30-4.75= 25.25
25.25/5=5.05
Each drink cost $5.05

what is 2/4 + 1/4 + 1/4

Answers

Answer:

4/4 or 1

Step-by-step explanation:

You can convert these fractions into decimals if decimals are easier for you to work with:

2/4 = .50 or 50

1/4 = .25 or 25

.50 + .25 + .25 = 1.00

Other Questions
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