1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?

Answers

Answer 1

Answer:

Ben has 8 dimes and 7 quarters.

Step-by-step explanation:

Given that:

Number of coins = 15

Worth of coins = $2.55 = 2.55 * 100 = 255 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement,

x+y=15     Eqn 1

10x+25y=255     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=15)

10x+10y=150     Eqn 3

Subtracting Eqn 3 from Eqn 2

(10x+25y)-(10x+10y) = 255 - 150

10x+25y-10x-10y=105

15y=105

Dividing both sides by 15

[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]

Putting y=7 in Eqn 1

x+7=15

x=8

Hence,

Ben has 8 dimes and 7 quarters.


Related Questions

Which is an irrational number

Answers

Answer:

D

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

Subtract 5x2 – 2x – 5 from -2x2 – 5x – 7.

Answers

-2x^2 - 5x - 7 - (5x^2 - 2x - 5) -- Set up the equation and distribute the negative

-2x^2 - 5x - 7 - 5x^2 + 2x + 5 -- Combine like terms

-7x^2 - 3x - 2 -- Answer!

Hope this helps!! :)

Write an equation using a whole number and a unit fraction to equal 5/6

Answers

Answer:

whaaaa

Step-by-step explanation:

uhhhh hmmmmmmmmmmmmmm

A counter in Brendan's kitchen is 1 yard wide and 3 yards long. Brendan wants to replace the counter with a granite countertop, which would cost $206.00 per square yard. How much would the granite countertop cost?

Answers

Answer:

The new granite countertop will cost $824.

Step-by-step explanation:

Step 1: The problem is to determine how many yards per square that the countertop is made up of.

This is the equivalent of finding the square area of the countertop.

The formula for the square area of a rectangle is given as L x W.

Where L = Lenght which is equal to 3 yards

W = 1 yard

Step 2:

Cost of per square yard required therefore is

3 x 1 = 3 square Yards.

The granite required for the countertop project therefore will cost:

$206 x 3 = $824.00

Cheers!

HELPPO ME PLEASEE!!!!!!

Answers

Answer:

Here,

x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)

or,x+3x + 25° + 95° + 80° =360°

or,4x + 200 = 360°

or,4x = 360 - 200

or,4x = 160

or,x = 160÷4

or,x = 40

Now,

Angle K = (x + 25)° = 40 + 25° = 65°

Angle L = 3x° = 3 × 40° = 120°

Does anyone the the answer for this ?:)

Answers

Answer:

69.08

Step-by-step explanation:

C=2πr

Brainly plss

HELP! I’ll MARK BRAINLIEST
contestants indoor run-and-bike-a-thon run for a specified length of time, then bike for a specified length of time. Jason ran at an average speed of 5.2 mi/H and biked at an average speed of 20.2 mi/H, go in a total of 14.6 miles. Seth ran at an average speed of 10.4 mi/H and bite at an average speed of 18.8 mi/H, going a total of 17.8 miles. For how long do contestants run and for how long do they bike? Round to the nearest hundred if necessary.

Answers

Answer:

they ran 5 and 2 and half hour

Step-by-step explanation:

they ran 5 and 2 and half hour

what number is one hundred more than 890

Answers

Answer:

990

Do 100+890

its simple math

The number that is one hundred more than 890 would be,

⇒ 990

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that,

To find a number that is one hundred more than 890.

Let us assume that,

The number that is one hundred more than 890 = x

Hence, it can be written as,

⇒ x = 890 + 100

Solve for x,

⇒ x = 990

Therefore, the number that is one hundred more than 890 = 990

To learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ6

HEYYY!! Who can help me?? .. (I’m kinda slow lol)

Answers

Answer:

The answer should be A

Step-by-step explanation:

y=3x+2

First, check the y-intercept, which is 2 in this case. Only A, B, and D crosses the y-axis at 2.

Next, check the slope (I didn't calculate every one of the slopes)

the slope, from the equation is 3, so the graph should be positive (left to right always)

Only graph A has a positive slope and a y-intercept of 2.

19. Find the measurement

HELP ME!!!! ASAP!!

Answers

Answer:

144

Plzzzzz give me Brainliest!!!!!  

I think it would be 180 - 36 = 144
Hope it is useful ;)

there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n

Answers

Answer:

The value of n is 2.

Step-by-step explanation:

The total number of people in the choir = 60

Number of  women in the choir = 30

Let the number of men in the choir be represented by x, so that;

Number of women = 3x

So that;

3x = 30

x = [tex]\frac{30}{3}[/tex]

 = 10

The number of men in the choir is 10.

the number of children in the choir: the number of men in the choir = n:1

number of children in the choir = 60 - (number of women + number of men)

                                                    = 60 - 40

                                                    = 20

number of children in the choir = 20

Thus,

the number of children in the choir: the number of men in the choir = 20:10

                                                            = 2:1

The value of n is 2.

Answer:

20 men in the choir and 40 children

Step-by-step explanation:

6x-2y=156.......(1)
X - y=18.........(2)
(1)-2×(2 )
How will you go about it​

Answers

Plug in equation 1 and 2 into the formula: 156-2*18=

Answer:

Step-by-step explanation:

(1) 6x-2y=156

2×(2) ; 2(x-y=18)

;2x-2y=36

from (1)-2×(2)

is 6x-2y=156 -

2x-2y=36

4x=120

x=30

from (2)

x-y=18

x-18=y

y=30-18

y=12

Which equation is a function of x?
O x=5
O x = {²+9
O x2 = 12 +16

Answers

1st one , your welcome

Gwen walked a total of 6 kilometers by making 2 trips to school. After 3 trips to school, how
many kilometers will Gwen have walked in total? Assume the relationship is directly
proportional

Answers

Answer:

9 km

Step-by-step explanation:

If Gwen were to walk 3 km for every trip she takes, she would walk 6 km on the second trip and 9 km on the third trip.

A rectangle has a length of 9 and a width of 7. Find the length of the diagonal. (Hint: Use
Pythagorean theorem and draw a picture!)
63
72
130
V145

Answers

The answer is:
c = 11.40175425
or
c = 11.4

diagram and Pythagorean :

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)

Answers

Answer:

52[tex]\pi[/tex]

Step-by-step explanation:

The total shaded are will be the area of big circle - not shaded circle + little shaded circle.

The are of big shaded circle: [tex]\pi[/tex][tex]r^{2}[/tex] So, A=[tex]\pi[/tex](8^2)= 64[tex]\pi[/tex]

The are of not shaded circle: [tex]\pi r^{2}[/tex] So, A= [tex]\pi[/tex](4^2)= 16[tex]\pi[/tex]

The are of little shaded cirlce: [tex]\pi r^{2}[/tex] So, A=[tex]\pi[/tex](2^2)= 4[tex]\pi[/tex]

64[tex]\pi[/tex] - 16[tex]\pi[/tex] + 4[tex]\pi[/tex]= 52[tex]\pi[/tex]

Line n is perpendicular to the y-axis. If the line contains point (0, -4), what is the equation of line n ?

Answers

Answer:

y=0x - 4

Step-by-step explanation:

perpendicular to the y-axis means parallel to the x-axis.

that would be a horizontal line and they have no slope. so m=0

(0, -4) is the y-intercept since the y intercept is when x is zero.

b=-4

y=mx+b

y=0x - 4



Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?

Answers

Answer:

6 and 2/5

Step-by-step explanation:

20% of 32 is 6.4

2x - 4y = 9, What is it you need to know to be able to solve this problem?

Answers

Answer:

What X and Y equal to.

Answer:

you need to know math, and some more math. thats really the answer

Step-by-step explanation:

express the following ratio in their simplest form 45cent: $2.25​

Answers

Answer:

$1.80

Step-by-step explanation:

i had this question

Two fifths of the candies in a bag are mint. There are 34 mint candies.

How many candies in total are in the bag? hint: 34x=34

Enter your answer in the box.

Answers

85 candies

Step-by-step explanation:

1 fifth of the bag is 17 so 5 fifths is 85

Answer:

85 candy

Step-by-step explanation:

i took test

The polynomial in standard form that represents the perimeter of the quadrilateral 

Answers

Answer:

3(4x-1)

Step-by-step explanation:

I hope this is correct and helpful

City J is between City K and City L. You know the round-trip distance from City K to City L is
548 miles and the round-trip distance from City K to City J is 326 miles. Find the distance
between City J and City L. Justify your answer.

Answers

Answer:

JL is 111 miles

Step-by-step explanation:

When we talk of round trips, we mean the distance going plus the distance coming

To get the actual distance between the two places, we need to divide by 2

K to L is round trip 548 miles

K to L distance is 548/2 = 274 miles

K to J round trip is 326 miles

K to J distance is 326/2 = 163 miles

From what we have ;

KL = KJ + JL

274 = 163 + JL

JL = 274-163

JL = 111 miles

To justify our answer, we can see that J is between K and L

if we added the distance KJ and JL, we should get the distance KL

from the calculations we have made, we can see that this is correct and our answer is justified

Rewrite 4% as a decimal.

Answers

Answer:

0.04

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

simple math the 4 is in the ones place

Which expression is equivalent to 13 - (-21)?
Choose 1 answers
А
13 +21
B
-21 - 13
-13 +21
D
-21 +13
HURRY

Answers

Answer is 13+21 , two negatives make a positive as a result the answer is A

what is the equation of the line in the graph?

Answers

Answer:

y=-1x-2

Step-by-step explanation:

hope it helps ^^

Answer:

y = -x - 2

Step-by-step explanation:

Since we have a straight, linear line, the line follows the y = mx + b format

The line moves one unit down for every unit to the right, making m = 1

Since the line has a downward slope, m = -1

Since the line crosses the y-axis at -2, b = -2

Therefore, the equation is y = -1x - 2 or more simplified, y = -x - 2

please help me! ( pythagorean theorem)

Answers

Answer:

the missing side is √65

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

√65 = √c^2

√65 = c

you’re going to have to find the PT of the smaller triangle first , a2=b2+c2

4 squared = 2 squared + c
16= 4+ c
c squared =12
c=3.464

now that you’ve found c , u have to move on to the bigger triangle

a squared= 7 squared + 3.464 squared
a squared= 49+ 12
a squared = 61
a= 7.8

i hope this helped

Determine 25% of 180 by expressing the percent as a decimal.

Answers

Answer:

45%

Step-by-step explanation:

25% is the same as .25. By taking .25 times 180 you get 45 or 45%.

At a coffee shop 55% of customers buy a coffee drink, 30% buy food, and 25% buy both coffee and food. What is the probability that a randomly chosen customer by either a coffee drink or food?

Answers

Answer:

85%

Step-by-step explanation:

with OR (as opposed to AND), you add probabilitites

with AND, you multiply them

P(coffee OR food) = .55 + .30 = .85

The scale drawing of a building measures 3 in. by 5 in. The scale is ¼ in = 2 feet. What is the area of the actual building?

Answers

Answer:

24ft. by 40ft

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