Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps​

Answers

Answer 1

Answer:

Each girl had $7.50 when they arrived.

Step-by-step explanation:

We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.

3x = x + 5

First, subtract x from both sides. This cancels out the addition by x.

3x - x = 5

Now, subtract x from 3x. This equals 2x.

2x = 5

To cancel out the multiplication by 2, divide both sides by 2.

x = 5/2

Lastly, divide 5 by 2 to get 2.5.

x = 2.5

Substitute x for 2.5 in the earlier equation (3x = x + 5)

3(2.5) = 2.5 + 5

First, multiply 3 by 2.5 to get 7.5.

7.5 = 2.5 + 5

Add 2.5 to 5 to get 7.5.

7.5 = 7.5

Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.


Related Questions

Pls help I need it now pls

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Answer:

it would be D because x is based off of the x axis so when it moves left to right. And y is y axis so it moves up and down.

Step-by-step explanation:

write in exponential notation (-3)^6/ (-3)

Answers

Answer:

-3⁵

Step-by-step explanation:

3⁶ / -3 = -3⁶ * -3⁻¹ = -3⁶⁻¹ = -3⁵

Answer:

(-3)⁶/(-3) = {(-3)×(-3)×(-3)×(-3)×(-3)×(-3)}/(-3) = (-3)⁵

-3⁵ is the right answer.

How do I use the definite integral to find the area between x-axis and f(x) over the indicated interval

Answers

Answer:

(A). 2

Step-by-step explanation:

FYI :

[tex]\int\limits^4_1 {x^{-\frac{1}{2} } } \, dx[/tex] = 2√x (from 1 to 4) = 2√4 - 2√1 = 2

Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue. What is the probability that
the coin flips heads, and
the spinner lands on either red or blue?
Enter your answer as a percentage, to the nearest percent.

Answers

Answer:

1/3 ! i think?

Step-by-step explanation:

there's a 1/2 chance it lands on heads and a 2/3 chance it lands on red or blue and 1/2 x 2/3 is 1/3

The probability that the coin flips heads, and the spinner lands on either red or blue is 1 by 3.

Calculation of the probability:

Since Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue.

Since there is half chance for heads and 2 by 3 for landing on red or blue

So, the probability should be

[tex]= 1/2 \times 2/3 \\\\= 1/3[/tex]

Hence, The probability that the coin flips heads, and the spinner lands on either red or blue is 1 by 3.

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Wes is ordering nachos at a restaurant, and the server tells him that he can have up to three toppings: black olives, guacamole, and chicken. Since he cannot decide how many of the toppings he wants, he tells the server to surprise him. If the server randomly chooses which toppings to add, what is the probability that Wes gets just black olives and guacamole

Answers

Answer:

2/9

Step-by-step explanation:

Possible outcomes: olives, olives and guacamole, olives and chicken, guacamole, guacamole and olives, guacamole and chicken, chicken, chicken and olives, chicken and guacamole = 9 possible outcomes

way to achieve just black olives and guacamole = 2

possibility is 2 over 9 = 2/9


20. Juwan makes 12 baskets in 40 minutes. If he continues making baskets at this rate, how
many baskets will he make in 90 minutes? REMEMBER TO INCLUDE THE UNIT OF
MEASURE (BASKETS) WITH YOUR ANSWER.

Answers

at30 cestas é a respos

I need the answers ASAP •_•

Answers

Answer:

17) vertical

18) vertical

19) vertical

20) adjacent

Larry made 2.5 liters of orange juice and drank 750 milliliters of it. How much orange juice is left?

Answers

Answer:

1.75 liters is left

Step-by-step explanation:

1ml is 1000ml

Answer:

1,750 milliliters left.

Step-by-step explanation:

2.5 liters equal 2,500 milliliters. So u do 2,500 - 750 which gives you 1,750

the equation A=6s to the power of 2 can be used to calculate A the surface area of the cube with edges lengths using this equation what is the surface area of a cube with an edge length of 5 inches?

Answers

Answer:

150 in^2

Step-by-step explanation:

The surface area, in general, is A = 6s^2, where s is the length of one side of the cube.

If the edge length is 5 in, then the surface area of the cube is

A = 6(5 in)^2 = 6(25 in^2) = 150 in^2

Write an equation for line L in mpoint-slope form and slope-intercept form.
L is perpendicular to y = 5x.

Answers

Answer:

X and A half marks Nathan and na ha na na he and na na he Meena new q me new me know if you

Step-by-step explanation:

erert4 Ka a manual Mrs Ann messed hall hall USS jam

Sidney wants to increase the amount of
time he spends studying.

Answers

thats reallly good for sidney

Answer:

if this is ur question, then ur answer is 53

Which of the following is an advantage to refinancing?
A. It is a time-consuming process.
B. There are prepayment penalties.
C. It offers lower interest rates.
D. There are additional closing costs.

Answers

Answer:

c it offers lower interest rates

— 6р = 48
p=
I need help please

Answers

p=- 8. Divide both sides by -6.

Wich one does not belong , And why..?

veiw the image

Answers

Answer:

2x+3

Step-by-step explanation:

the upper left, upper right, and lower right are all using distributive property. The lower left is not.

PLEASE ANSWER I WILL GIVE BRAINLIEST AND LOVE U FOREVER!

Answers

Answer:

im not even sure this is right

Step-by-step explanation:

A=a+b 2h=2+1.1

2·3.4=5.27

Determine whether the relationship being represented is linear, exponential or neither
f(x) = 1/4 (x + 3) +2

Answers

Answer:

linear

Step-by-step explanation:

if you graph it you can swe that it is linear

Use the ruler provided to measure the radius of the circle to the nearest centimeter.
Which measurement is closest to the area of the circle in square centimeters?

Answers

Answer

its B

Step-by-step explanation:

Answer:

43.96 2 cm2

Step-by-step explanation:

Isabella earned $129.60 at her job when she worked for 6 hours. How much money
did she earn each hour?

Answers

Answer:

21.6

Step-by-step explanation:

you divide 129.60 by 6 and you get 21.6.

Translate into an equation.
The sum of eight and a number, x, is four.

Answers

Answer:

4=8+x

Step-by-step explanation:

The polygons are similar. Find the value of x.
A
14
F 7 R
12
13
S
F
13
G
8
26
X =

Answers

Answer:

If the two polygons are similar, then their sides are proportianal.

We see that sides in the larger polygon are two times as long as the sides of the smaller polygon.

So, if the larger polygon has a side length of 13, then the smaller polygon would have a side length of 13/2, or 6.5

Let me know if this helps!

PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST

Answers

There are 3 rectangles and 2 triangles in the prism

rectangles: (12 × 10) + (9 × 10) + (15 × 10)

triangles: 2 × (1/2 × 9 × 12) = 9 × 12

Add them all up and you get the answer of 468 in²

Yes I agreee. 5=chihhhhhhhhhhhhhhhh

Please help me
Evaluate 7+2^3
Answer:________

Answers

Answer:

9^...................

Answer:

15

Step-by-step explanation:

2³ is the same as 2 x 2 x 2 or 8. 8 + 7 is 15.

Hope it helps!

What is 5.23 divided by 9

Answers

0.581 i used a calculator

Answer:

[tex]\frac{5.23}{9} = 0.581111[/tex]

Step-by-step explanation:

5.23 / 9 = 0.5811111

Why is a data point with an​ x-coordinate of 0 a good point to use when creating a trend line for a data​ set? The graph shows the altitude of a weather balloon over time. The trend line passes through the points ​(0​,481​) and ​(10,39,​). Write the equation of a trend line for the data shown in the graph. After how many minutes is the balloon at an altitude of 454.6 feet above sea​ level?

Answers

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

A linear equation is given by:

y =mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the altitude of the balloon at time x.

Given that a trend line passes through the point ​(0​,481​) and ​(10,39), the equation of the trend line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]

At 454.6 ft:

454.6 = -44.2x + 481

-26.4 = -44.2

t = 0.6 minutes

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

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6.1 - 5.4 - ( 7.7)

help

Answers

Answer:

-7

Step-by-step explanation:

i used a calculator

-7
You know I just used a calculator

Solve this system by substitution. y = 5x - 15 y = 2x - 6 *Remember to write your answer as a coordinate point (x,y Solve this system by substitution​

Answers

5x - 15 = 2x - 6
3x = 9
x = 3
Y = 5(3) - 15
Y = 0
(3,0)

A triangle has a perimeter of 280 cm, and its side lengths are a, b and c respectively. If
a:b= 2:3, b:c=4:5, find the length of each side of the triangle.​

Answers

Answer:

The length of the sides are 64 cm, 96 cm and 120 cm.

Step-by-step explanation:

Perimeter of a triangle:

The perimeter of a triangle is the sum of it's sides.

A triangle has a perimeter of 280 cm, and its side lengths are a, b and c respectively.

This means that:

[tex]a + b + c = 280[/tex]

a:b= 2:3

This means that:

[tex]\frac{a}{b} = \frac{2}{3}[/tex]

[tex]2b = 3a[/tex]

[tex]b = \frac{3a}{2}[/tex]

b:c=4:5

This means that:

[tex]\frac{b}{c} = \frac{4}{5}[/tex]

[tex]4c = 5b[/tex]

[tex]c = \frac{5b}{4}[/tex]

[tex]c = \frac{5*3*a}{4*2} = \frac{15a}{8}[/tex]

At the original equation:

We replace b and c in function of a. So

[tex]a + b + c = 280[/tex]

[tex]a + \frac{3a}{2} + \frac{15a}{8} = 280[/tex]

Multiplying everything by 8

[tex]8a + 12a + 15a = 280*8[/tex]

[tex]35a = 280*8[/tex]

[tex]a = \frac{280*8}{35}[/tex]

[tex]a = 64[/tex]

Sides b and c:

Since we have a, we can find sides b and c:

[tex]b = \frac{3a}{2} = \frac{3*64}{2} = 3*32 = 96[/tex]

[tex]c = \frac{15a}{8} = \frac{15*64}{8} = 15*8 = 120[/tex]

The length of the sides are 64 cm, 96 cm and 120 cm.

whichis the equation of a line thats has a slope of -2/3 and passes through point (-3,-1) ​

Answers

Answer:

D. [tex]y=-\frac{2}{3}x-3[/tex]

Step-by-step explanation:

If you use Desmos and enter (-3,-1) then enter your lines you can match them up.

7
A tablet computer listed at an original price of $250 is placed on sale for
20% off the original price. Bob, an employee of the store, gets an
additional 30% off the sale price. What price would Bob pay to purchase
the tablet computer?
$100
$125
$200
$140

Answers

Answer:

$140

Step-by-step explanation:

250 decrease 20% =

250 × (1 - 20%) = 250 × (1 - 0.2) = 200

200 decrease 30% =

200 × (1 - 30%) = 200 × (1 - 0.3) = 140

The answer is D

Explanation.

Raul started a plant garden and started collecting lots of soil to grow his plants. His supply of soil grows by 8% per week. If he starts with 14 kg of soil, how much does he have after 16 weeks? Round your answer to the nearest hundredth (two decimal places). I​

Answers

14k becasue I just thought of that
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