And I is throwing money at birthday party. She has $100 to spend. She buys a cake for $30, a giant balloon for $20, and 10 cups that each cost the same price. Create and solve any equation to determine the cost of each cup.

Answers

Answer 1

Answer:

$5 per cup

Step-by-step explanation:

Step one:

given data

total amount = $100

cost of cake=$30

cost of balloon=$20

let the cost of 1 cup be x

so cost of ten cups = 10x

Step two:

The expression for the total amount is given as

100=30+20+10x

100=50+10

100-50=10x

50=10x

divide both sides by 10

x=50/10

x=$5

the cost of one cup is $5

the cost of ten cups is 5*10= $50


Related Questions

If you have 2\10 of an apple, how many fifths do you have

Answers

Answer:

4/5

Step-by-step explanation:

1 - 2/10 = 8/10 = 4/5

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

You have [tex]\frac{2}{10}[/tex] ( divide numerator and denominator by 2 ), that is

[tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]

$1500 at 4% for 5 years find interst

Answers

Answer:

7,500

Step-by-step explanation:

Answer:

$5100.00

Step-by-step explanation:

La mitad de la edad que tenia anahí hace 27 años equivale a la cuarta parte de la edad que tendrá dentro de 5 años. ¿ qué edad tiene actualmente anahí?

Answers

Responder:

59 años

Explicación paso a paso:

Asumir que:

Edad actual = x

Edad 27 años atrás = x - 27

Edad dentro de 5 años = x + 5

La mitad de la edad de hace 27 años = 1/2 (x - 27)

Cuarto de edad dentro de cinco años = 1/4 (x +5)

0,5 (x - 27) = 0,25 (x + 5)

0.5x - 13.5 = 0.25x + 1.25

0.5x - 0.25x = 1.25 + 13.5

0,25 veces = 14,75

Dividir por 0,25

0,25x / 0,25 = 14,75 / 0,25

x = 59

Por lo tanto, la edad de Anahí ahora es de 59 años.

La edad actual de Anahí es de 59 años.

Sabemos por la pregunta que la mitad de la edad que tenía Anahí hace 27 años equivale a la cuarta parte de la edad que tendrá dentro de 5 años.

Para escribir esto como una ecuación, sea y la edad actual;

1/2(s - 27) = 1/4(y + 5)

El MCM de 2 y 4 es 4 por lo tanto;

4/2(y - 27) = 4/4(y + 5)

2(s - 27) =(y + 5)

2y - 54 = y + 5

2y -y = 5 + 54

y = 59

La edad actual de Anahí es de 59 años.

Más información sobre ecuaciones: https://brainly.com/question/2263981

ratio// please help!!

Answers

Answer:

The loose sweets

Step-by-step explanation:

100 divided by 0.89 = 112

120 divided by 1.49 = 80

Answer:

Step-by-step explanation:

1.49 ÷ 120 = 0.0124 GBP per gram

0.89 ÷ 100 = 0.0089 GBP per gram < 0.01 (The price of loose sweets is better value)

If the side opposite the 60 degree angle in a 30-60-90 degree is 12 centimetres, then what length of the side opposite the 30 degree angle?​

Answers

Answer:

4*[tex]\sqrt3[/tex]

Step-by-step explanation:

Someone for the love of god please help me.

Answers

X>2 is the correct solution to the inequality:)

Answer:

Step-by-step explanation:

The next section (This is the last five, don't worry xd)
7th grade math
I will give brainliest!
2 = a/6
find the value of a

Answers

Answer:

a = 12

Step-by-step explanation:

Given

2 = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 to clear the fraction )

12 = a

Answer:

a = 12

Step-by-step explanation:

We can do the inverse of division which is multiplication. 6 x 2 equals 12 and if we substitute 12 for a (12 divided by 6) you get 2 hope that helpss!!!

Which pair of complex numbers has a real-number product?
(1 + 31 (6)
(1 + 3)(2-31)
(1 + 3)(1 – 31)
0 (1 + 3/)(31)

Answers

Answer: C. (1 + 3i)(1 - 3i)

Step-by-step explanation:

Took the test on edgnuity

Answer:

The person ontop is correct! It is C.

Solve the equation 186+10x=25.5x to find how many diving lessons


__ lesson(s)

Answers

Answer: x=12

Steps shown in image below:

Is a quadrilateral a square?

Answers

Answer:

No but a square is a quadrilateral

Step-by-step explanation:

hope this helps :)

Answer:

If I were to be honest no Edit: yes it is

Step-by-step explanation:

No because a square has straight parrallel corners. But a quadrilateral has slanted parallel corners.

Hope that helped. But maybe wait for sumone else to answer too. : )

Edit: nvm my bad I was wrong

A one-minute advertisement on a local television station during prime time (8-10 p.m. on weeknights) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis and Giant Ones

Answers

thats a nice one joe i was tinkg inksjsjssisb uyea

can someone please help me with this please and thank you

Answers

Ndhdhjjsjxjndjxjxjdnfnhdhfbdjjdjdhd
The second one I believe so because I just finished learning this last year

please help its urgent​

Answers

9514 1404 393

Answer:

  they are in the same place on the number line

Step-by-step explanation:

-(-a/b) = a/b, so will be plotted on the number line in exactly the same place as a/b.

At a real estate agency, an agent sold a house for $397,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?

Answers

Answer:

1. $97,265

2. $17,865

Step-by-step explanation:

Step one:

given data

cost of the house=  $397,000.

we are told that the commission is 4.5% real estate agency

and also the agent commission is 20%

Step two:

1.  How much did the agency make on the house?

this amount is 20% plus  4.5% together.

=20/100*397,000 +4.5/100*397,000

=0.2*397,000. +0.045*397,000.

=79400+17865

=97,265

The agent made a total of $97,265 on the house

2. How much did the agent earn in commission?

in commission, the rate is 4.5% which amounts to $17,865

Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold.

Answers

Answer:

bag of chips - 20 ; number of fruit snacks - 5 .

Step-by-step explanation:

3 out of 4 students in one school named Apple
Pie as their favorite Thanksgiving food. If the
school has 100 students, how many chose Apple
Pie?

Answers

Answer

the answer is 75

Step-by-step explanation:

100 divided by 3 = 75 so there is 75 students

75 is the answer I have the same question as you

100 points: Sketch a graph of y = 1x| Then sketch a graph of y = -x + 4 on the same coordinate plane. If you can change colors of your graph, make this one red. In the box below, describe the transformation that took place from y=[xl to y = -1x + 4|​

Answers

Answer:

i cant like give you the answer off the top of my head but when i did this  the video helped me a lot

Step-by-step explanation:

its How to Graph the line y = x by Cowan Academy

2. Michael bought a sandwich that cost $4.69, a bag of chips that cost $1.99
and an iced tea for $2.50. How much did he spend in all? *
A. 7.19
B. 4.49
C. 6.68
D. 9.18

Answers

Answer:

9.18

Step-by-step explanation:

4.69

1.99

+2.50

9.18

Investors buy a studio apartment for $180,000. Of this​ amount, they have a down payment of $36,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$72,000 down payment​ be?
Their down payment is *blank*% of the purchase price.

Answers

Answer:

36,000 would be 20 percent. 72,000 would be 40 percent.

Step-by-step explanation:

You just divide 36,000 by 180,000

HELP At the end of a snow storm, Eli saw there was a lot of snow on his front lawn. The
temperature increased and the snow began to melt at a steady rate. The depth of
snow on Eli's lawn, in inches, can be modeled by the equation S = 16 - t, where t
is the time, in hours, after the snow stopped falling. What is the y-intercept of the
equation and what is its interpretation in the context of the problem?
The y-intercept of the function is
which represents

Answers

Answer:

The y-intercept is 16, which represents the original depth of snow on the lawn

Step-by-step explanation:

t is the time in hours where the snow melted, so 16 was the original amount of snow on the ground before it melted over time.

The y-intercept is 16 inches. Then the y-intercept represents the height of the snow initially.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Eli noticed a lot of snow on his front lawn towards the conclusion of a snowstorm. As the weather rose, the snow began to melt at a steady pace. The depth of snow on Eli's lawn in inches may be calculated using the equation S = 16 - t, where t is the time after the snow ceased falling in hours.

Compare the equation with the standard equation, then we have

c = 16

The y-intercept represents the height of the snow initially.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Evaluate each value expression for the given value of the variable : x+x+5 when x=7
QUICK PLSSSSSS

Answers

Answer:

19

Step-by-step explanation:

x = 7, so we have:

7 + 7 = 14

14 + 5 = 19

Answer:

19

Step-by-step explanation:

you replace the x with a seven. so it will look like

7+7+5= 19

Let the number of games, `x`, and the number of rides, `y`



For `x+4y=28`, what is the slope of the graph?

Answers

-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7

-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7


(-8/9) divided by (-2/3)x(-4 1/2)





Answers

Answer:

-0.29629629629 or -0.3

Step-by-step explanation:

first do (-2/3)*(-4 1/2) which is 3

then divide (-8/9) by 3 and you get -0.29629629629 which can be rounded to -0.3

The Answer will be -8 using fraction operation.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

First solve the 2nd part which is

[tex]\frac{-2}{3}*-4\frac{1}{2} \\=3[/tex]

Now -8/3 * 3 = -8

Hence the answer for the given question will be -8.
Learn more about Fraction, by the following link.
https://brainly.com/question/78672
#SPJ2

(x + 10) cm
(x - 3) cm
The area of the rectangle is 48 cm².
Show that x satisfies the equation x2+ 7x - 78=0

Answers

Answer:

area a=lxb

48=(x+10)x(x-3)

48=x2-3x+10x-30

0=x2+7x-30-48

0=x2+7x-78

hence it is proved

The requried, we have shown that x satisfies the equation x² + 7x - 78 = 0.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
The area of the rectangle is given by the formula:

Area = length x width

Substituting the given expressions for length and width, we have:

Area = (x + 10)(x - 3)

We are also told that the area of the rectangle is 48 cm², so we can set up the equation:

(x + 10)(x - 3) = 48

Expanding the left side using the FOIL method:

x² - 3x + 10x - 30 = 48

Simplifying:

x² + 7x - 78 = 0

Therefore, we have shown that x satisfies the equation x² + 7x - 78 = 0.

Learn more about equations here:

brainly.com/question/10413253

#SPJ7

Which pair of complex numbers has a real-number product?

O (1 + 2i) (8i)

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

O (1 + 2i) (1 – 2i)

O (1 + 2i)(4i)

Answers

Answer:

(1 + 2i)(1 - 2i)

Step-by-step explanation:

Multiplying a complex number and its conjugate results in a real number.

Thus

1 + 2i and 1 - 2i are conjugates

(1 + 2i)(1 - 2i) ← expand using FOIL

= 1 - 2I + 2I - 4I² [ note i² = - 1 ]

= 1 - 4(- 1)

= 1 + 4

= 5 ← a real number

Answer:

C

Step-by-step explanation:

C

if two equations are the same at two different points, what can be said about the two equations?

Answers

Answer:

They are parallel

Step-by-step explanation:

They will have the same slope but never intersect

A man invested 1000 rupees,split onto two schemes,at annual rates of interest 8% and 9%.After one year he got 875 rupees as interests from both. How much did he invest in each?

Answers

Given :

Total amount, T = 10000 . ( It should not 1000 )

Annual rates of interest in both scheme is 8% and 9% .

After one year he got 875 rupees as interests from both.

To Find :

How much did he invest in each.

Solution :

Let, amount invested in 8% annual interest scheme is x.

So, amount in other scheme is 10000-x .

Now, sum of interest is equal to 875.

[tex]\dfrac{x\times r_1 \times 1}{100}+\dfrac{(10000-x)\times r_2\times 1}{100}=875\\\\8x + 9(10000-x)=87500\\\\x = 90000-87500\\\\x = 2500[/tex]

Therefore, amount invested in 8% and 9% annual interest scheme is 2500 and 7500 rupees respectively.

Hence, this is the required solution.

solve the system by substitution -x+3y=15
y=2x​

Answers

Answer:

(3,6)

Step-by-step explanation:

1l) HAO WENT TO A HOBBY SHOP AND SAW A DISPLAY OF TOY TRAINS. THE SIGN IN FRONT OF
THE DISPLAY SAID THAT THE TOY TRAINS WERE A REPLICA OF THE LONG ISLAND RAILROAD
TRAINS. HAO ESTIMATED THAT ONE OF THE RAILROAD CARS WAS APPROXIMATELY 15
INCHES LONG AND 4 INCHES WIDE. THE SIGN IN FRONT OF THE DISPLAY STATED
"SCALE- 2 /9".
WHAT IS THE LENGTH OF THE RAILROAD CAR ON HE LONG ISLAND RAILROAD?
WHAT IS THE WIDTH OF THE LONG ISLAND RAILROAD CAR?

Answers

Answer:

Length = [tex]57.5\ \text{inches}[/tex]

Width = [tex]18\ \text{inches}[/tex]

Step-by-step explanation:

The scale of the toy train is [tex]\dfrac{2}{9}[/tex]

So, the dimensions of the toy train is [tex]\dfrac{2}{9}[/tex] times the actual dimensions of the train.

The dimensions of actual train is [tex]\dfrac{1}{\frac{2}{9}}=\frac{9}{2}[/tex] times the toy train's dimensions.

Length

[tex]15\times \dfrac{9}{2}=57.5\ \text{inches}[/tex]

Width

[tex]4\times \dfrac{9}{2}=18\ \text{inches}[/tex]

The length of the railroad car on the long island railroad is 57.5 inches.

The width of the railroad car on the long island railroad is 18 inches.

number 10?? please help.

Answers

Answer:

∠GFM= 124°

Step-by-step explanation:

∠GFH= 180° -90° -(5x +9)° (∠ sum of △FGH)

∠GFH= 90° -5x° -9°

∠GFH= (81 -5x)°

∠GFM +∠GFH= 180° (adj. ∠s on a str. line)

25x -1 +81 -5x= 180

20x +80= 180 (simplify)

20x= 180 -80 (-80 on both sides)

20x= 100

x= 100 ÷20 (÷20 on both sides)

x= 5

∴∠GFM

= 25x -1

= 25(5) -1

= 124°

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