A cashier has a total of 98 bills, made up of fives and fifties. The total value of the money is $2605. How much of each kind does he have?
He has ___ fives and ___ fifties.

Answers

Answer 1

Answer:

Step-by-step explanation:

x= number of fives

y= number of fifties

x+y=98

5x+50y=2605

Solving through elimination...

5x+5y=490

(5x+50y)-(5x+5y)=2605-490

45y=2115

y= 47

x+47=98

x=51

Which means he has 51 fives and 47 fifties


Related Questions

guys pls help me!!!!!

Answers

Answer:

a=58

Step-by-step explanation:

32+a=90

32-32+a=90-32

a=58

90-32 is 58 so the missing degree is 58. The reason we use 90 first as the small box, indicates it’s a right angle thus being 90 degree and if one side is 32, then the other side must be enough to add up to 90 so 58 and 32 equal 90

A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $17.75, and tickets cost $20.50 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

Inequality: 20.50x + $17.75 ≤ $110

Solve: 4 people can go to the amusement park

Explaination:

Inequality:

$110 = Amount of money they have

$17.75 = Parking Cost

$20.50 = Cost of tickets per person

Because they only have $110, they can't spend more than that amount.

Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:

20.50x + $17.75 ≤ $110

Solve:

$110 - $17.75 = $92.25 (92.25 is how much is left for tickets after subtracting the parking cost)

$20.50 x 4 = $82 (4 tickets can be bought for the price of $20.50)

$92.25 - $82 = $10.25 (10.25 isn't enough for another person)

So, the solution to the inequality is 4 people can go to the amusement park.

five times the sum of x and y decreased by 2x
write this as an algebraic expression

Answers

[tex]x + y \times 5 - 2x[/tex]This algebraic expression can be formed with the given data.

Answer:

5(x+y) - 2x

this is the algebraic expression

Linda is twice as old as Vera. Tanya is four less than four times the age of Linda. Their total age is two more than nine times the age of Vera. How old is Tanya, in years?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let the age of Vera be x,

Linda's age = 2x

Tanya's age = (4 × 2x) - 4 = 8x - 4

Total Age = 9x + 2

so, let's Solve for x :

[tex]x + 2x + 8x - 4 = 9x + 2[/tex]

[tex]11x - 4 = 9x + 2[/tex]

[tex]11x - 9x = 2 + 4[/tex]

[tex]2x = 6[/tex]

[tex]x = 3[/tex]

Age of Tanya :

[tex]8x - 4[/tex]

[tex](8 \times 3) - 4[/tex]

[tex]24 - 4[/tex]

[tex]20[/tex]

Tanya's age is 20 years.

(3,1) m=2

show werek​

Answers

First we need y intercept

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 1=2(3)+b[/tex]

[tex]\\ \sf\longmapsto 1=6+b[/tex]

[tex]\\ \sf\longmapsto b=-5[/tex]

Equation of the line:-

[tex]\\ \sf\longmapsto y=2x-5[/tex]

Answer:

y = 2x - 5

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of line

A teacher spends $150 on school supplies for the classroom, folders are $0.25 each and notebooks are $2.50 each. This linear relationship can be represented by 0.25x+2.50y=150, where x represents the number of folders and y represents the number of notebooks.

.Identify the x-intercept. Explain what this means in the context of the problem.
.Identify the y-intercept. Explain what this means in the context of the problem.
.Identify one additional combination of school supplies that the teacher could have .purchased with their budget. Explain what this means in the context of the problem.

Answers

Here’s your answer it’s in the screenshot that is attached

3/5 + 1/6 - 2/3 plz help me................

Answers

Answer:

1/10

Step-by-step explanation:

Check various online stuff for the steps

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} +\frac{1}{6} =\frac{3*6}{5*6} +\frac{1*5}{6*5} =\frac{18}{30} +\frac{5}{30} =\frac{18+5}{30} =\frac{23}{30}[/tex]

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 6) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - three fifths plus one sixth = twenty-three thirtieths.

Subtract: [tex]\frac{2}{3} =\frac{23}{30} -\frac{2}{3} =\frac{23}{30}-\frac{2*10}{3*10} =\frac{23}{30}-\frac{20}{30}=\frac{23-20}{30} =\frac{3}{30} =\frac{3*1}{3*10} =\frac{1}{10}[/tex]

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(30, 3) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 30 × 3 = 90. In the next intermediate step, , cancel by a common factor of 3 gives [tex]\frac{1}{10}[/tex]

In words - twenty-three thirtieths minus two thirds = one tenth.

1 example of factoring sum of two cubes

Answers

7^3+8^3=(7+8)(7^2−(7*8)+8^2)

               (15)(49-56+64)

                (15)(57)

7^3+8^3=855

Can someone help me do this

Answers

The 3 inside angles should add up to 180. The one next to the 130 is 50 degrees.

180 = 50 + (16x + 4) + (14x + 6)

180 = 30x + 60

120 = 30x

x = 4
x = 4

First, we can see that the top angle is 130°, that means the other side of the angle is 50° because that straight line must equal 180°.

Next, we know that the inside of a triangle must equal 180°. We know that one of the angle’s is 50°, that means we need to plug in the numbers and solve the other angles until the total of all three angles is 180°.

If we plug in 4 for x, this is what we get…
14(4) + 6 = 62°
16(4) + 4 = 68°

Now we know all three angles, but we can add to check…
50° + 62° + 68° = 180°

Therefore, x = 4!

solve the equation: 0.65 = 0.5c

Answers

Answer:

=1.3

Step-by-step explanation:

Combine multiplied terms into a single fraction

0

.

6

5

=

0

.

5

0.65=0.5c

0.65=0.5c

0

.

6

5

=

1

2

0.65=\frac{1c}{2}

0.65=21c​

2

Multiply by 1

3

Multiply all terms by the same value to eliminate fraction denominators

4

Cancel multiplied terms that are in the denominator

5

Multiply the numbers

6

Move the variable to the left

Solution

=1.3

Answer:

c = 1.3

Step-by-step explanation:

0.65 = 0.5c ( divide both sides by 0.5 )

[tex]\frac{0.65}{0.5}[/tex] = c , that is

c = 1.3

Looking at the two terms, 7a4b2c2 and 14abc6, what is the GCF do the coefficients?

Answers

Greatest Common Factor is also shortened as G.C.F . Greatest Common Factor can be used as the greatest or highest number that divides exactly into two or more numbers.

The GCF for the coefficients is 7. Option A is the correct option.

From the question, we are given two terms 7a4b²c² and 14abc⁶

The coefficient for 7a4b²c² = 7

The coefficient for 14abc⁶ = 14

Solving for the GCF,

The factors of 7 are: 1, 7

The factors of 14 are: 1, 2, 7, 14

Then the greatest common factor is 7.

Therefore, the GCF for the coefficients is 7 . Option A is the correct option.

To learn more, visit the link below:

https://brainly.com/question/2052552

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

It would be the third one

6 1/2 1/10 pls help it so hard

Answers

Answer:

1/2 x 1/10 = 2/100

1/2 + 1/10 =  6/10

1/2 - 1/10 =  4/10

1/2 divided by 1/10 = 5

Step-by-step explanation:

A cloud drifted above an airplane that was flying at 5,300 meters per minute. In 22.5minutes, the cloud moved 7,920meters to the east at a constant velocity. What was the cloud's velocity?

Answers

Answer is 352 metres

Step-by-step explanation:-

The cloud is moving at a constant velocity. This means that we can find the velocity of the cloud by dividing the distance it moved by time:-

[tex]v = \frac{d}{t} [/tex]

Where "v" is velocity, "d" is distance and "t" is time.

The cloud moved 7920 metres in 22.5 minutes, so :-

[tex]v = \frac{7920 \: m}{22.5 \: min} [/tex]

[tex]v = 352 \: m/min[/tex]

Therefore, the cloud's velocity was 352 m/min.

✍️ By Benjemin ☺️

Donna sells beaded necklaces. Each large necklace sells for $4.90 and each small necklace sells for $4.40 . How much will she earn from selling 1 large necklace and small necklaces?

Answers

Answer:

9.3$

Step-by-step explanation:

add 4.90 and 4.40 it gives 9.3$

what is The expression 12+9g-30h factored using the GCF is and btw I already tryed 3

Answers

Hello!

Answer:

3(4+3g-10h)

Step-by-step explanation:

Hope this helps!

The GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)

what is GCF?

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common.

For example, 12, 20, and 24 have two common factors: 2 and 4.

The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

Given:

12+9g-30h

Now, to find the GCF we have to factorize the numbers

12= 2 x 2  x3

9 = 3 x 3

30= 2x 3 x 5

So, the Greatest common factor is 3.

Thus, the GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)

Learn more about GCF here:

https://brainly.com/question/11444998

#SPJ5

Find the measure of each angle indicated.

A D
A) 21°
C) 23°
E 25°
B) 80°
D) 20°

Answers

Let the missing Angle be " x "

We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,

that is :

x + 80° = 100°

x = 100° - 80°

x = 20°

value of missing angle = 20°

A store sells 5-pound bags of potatoes for $2.35 or 8-pound bags of potatoes for $3.52. Based on this information, which statement is true?

Answers

i dont get it what would make it true? more info please! sorry if im wrong.

I don't know what the answer choices are

5 pound = $2.35

8 pound = $3.52

2.35/5 = 0.47

3.52/8 = 0.44

The 8 pound bag costs less dollars per pound than the 5 pound bag

I need help please lol

Answers

Answer:

Tina ate 1/4 cornbread of the whole pan.

Step-by-step explanation:

If she has 1/2 of a pan, and ate 1/2 of that, it's 1/2*1/2, which equals 1/4! Try to imagine a pan of cornbread in your head ahaha

The equation should be: 1/2*1/2=1/4

Hopes this helps!

I will give brainliest! I just need an correct expression to this. You do not have to give answer :)

Answers

try 6+14-11

that's what I think

Answer:

+6+14-11, may be the correct expression there

what is the function of f(x)=5•2^x

Answers

Answer:

I have the answer to the problem just not in words, but if you wanna listen to my opinion, I would say Linear

⚠️⚠️Please help⚠️⚠️ Pip and Ali share S785 in the ratio Pip:Ali = 4:1.

Work out Pip's share.

Answers

Answer:   $628

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

Work Shown:

x = Ali's share

4x = Pip's share, because it is four times bigger due to the ratio 4:1

x+4x = 5x = total amount of money = 785

5x = 785

x = 785/5

x = 157 dollars is Ali's share

4x = 4*157 = 628 dollars is Pip's share

Note that 157+628 = 785 to help confirm the answer.

What is a rational number between 1.4 and 1.6?

Answers

Answer:

Im sure of 1.5

Step-by-step explanation:

None

Answer:

1.6 is a rational number while 1.4 is not

16 and 10 are rational numbers so 1.6 will also be a rational number

√2 is 1.4 while the square of 1.4 is not 2

√2.56 is 1.6 and the square of 1.6 is 2.56

Step-by-step explanation:

PLS MARK BRAINLIEST

Convert the rational number below to a decimal. Round to the nearest hundredth when necessary.

1/2

Answers

Answer:

0.5

Step-by-step explanation:

1 divided by 2

= 0.5

Answer:

0.5

Step-by-step explanation:

Please help, I don't know how to do this T T

Answers

Answer:

There are only 5 zeros because the 10 to the power of 6 is being multiplied with a decimal.

Step-by-step explanation:

10 to the power of 6 is 1000000

1000000 x 3.5

3500000

the decimal point "takes" a 0 because it is in the tenth place. If it was the hundredths it would take 2 and etc.

Find the slope of the line that passes through (6, 10) and (4, 3).

Answers

the slope of the line is m= 7/2

Answer:

7/2

Step-by-step explanation:

1. To find the slope given two points, you can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] (by plugging in corresponding values and simplifying) and then find it!

2. (Solving)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] [tex]\frac{(3)-(10)}{(4)-(6)}[/tex] [tex]\frac{-7}{-2}[/tex] [tex]\frac{7}{2}[/tex]

Therefore, the slope of the line is 7/2.

find the perimeter and area of the figure

Answers

Answer:

D.

Step-by-step explanation:

Use Pythagoras to solve for the longest side of the triangle

Add up the side lengths to find the perimeter

Multiply half the base by the height for the area

what is the power of 10x10x10x10x10x10

Answers

Answer:

10 to the power of 6 = 10^6

Step-by-step explanation:

just count the number of times 10 is repeated

in this case 6 times

10^6

1,000,000

Or 10 to the 6th power

* you add the number of zeros and then put them behind the first number.

what is the value of x?

Answers

Answer:

x=18

Step-by-step explanation:

the sum of all the angles in a triangle is 180 degrees.

we can use this to get an equation:

5x-6 + 3x+13 + 2x-7 = 180

combine the x's to get:

10x-6-7+13=180

combine the numbers to get:

10x=180

divide both sides by 10 to get your answer:

x=18

Identify the property that is used in each statement.
HELP ME PLEASE DUE IN 15 minutes!!!??

Answers

Answer:

65

Step-by-step explanation:

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