A worker at a snack stand opened a new box of cups. On the first day, the worker used 30 cups from the box. On the second day, the worker used 15% of the remaining cups in the box. A total of 90 cups were used on the second day. What was the original number of cups in the box before any cups were used?

Answers

Answer 1

Answer:

630 cups

Step-by-step explanation:

Percentages

This problem is most easily solved backward, i.e., from the final data up to the beginning.

There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.

If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.

On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups


Related Questions

.
- 7(6 + d) = 49
Need help

Answers

Answer:

d=-13

Step-by-step explanation:

Let's solve your equation step-by-step.

−7(6+d)=49

Step 1: Simplify both sides of the equation.

−7(6+d)=49

(−7)(6)+(−7)(d)=49(Distribute)

−42+−7d=49

−7d−42=49

Step 2: Add 42 to both sides.

−7d−42+42=49+42

−7d=91

Step 3: Divide both sides by -7.

−7d−7=91−7

d=−13

Hope this helps have an amazing day :))

25 yd. 4 in. Divided by 8

Answers

Answer:

113 inches or 3.13889 yards

If 3 times the difference of x and y is -30, and 2/3 of x plus 1/2 of y is 19, what are x and y

Answers

Answer:

x = 12 and y = 22

Step-by-step explanation:

It is given that,

3 times the difference of x and y is -30

3(x-y) = -30

3x-3y = -30 ....(1)

2/3 of x plus 1/2 of y is 19.

[tex]\dfrac{2x}{3}+\dfrac{y}{2}=19\\\\\dfrac{4x+3y}{6}=19\\\\4x+3y=114\ ...(2)[/tex]

Add equation (1) and (2).

3x-3y + 4x+3y = -30 +114

7x = 84

x = 12

Put the value of x in equation (1)

3x-3y = -30

3(12)-3y = -30

36+30 = 3y

3y = 66

y = 22

Hence, the value of x and y are 12 and 22.

WHO IS RIGHT?
Drag the word RIGHT onto the character
that is right and drag the WRONG on
the character that is wrong. Explain
your answers below.
RIGHT
2(x + 6)=2x+6 WRONG
RHINO
LION
2(x + 6)=2x + 12
Explain your answer here
Explain your answer here:

Answers

Answer:

Right

Step-by-step explanation:

Trust me

Answer:

lion

Step-by-step explanation:

you multiply what is outside the parenthesis to everything inside the parenthesis

Jessica, Becky, Leah, and Heidi go to the movies. if the girls randomly sit next to one another, what is the probability that becky and leah will sit next to each other? how many total outcomes are there for the seating arrangements? what is the probability of the girls randomly sit that becky and leah will sit together? what is the probability that becky and leah will not sit together? 100 points will be given!

Answers

Answer:

24 total arrangements,  

Step-by-step explanation:

thats all i know for this question, the rest are lost within my brain... somewhere

Can someone please help me :(

Answers

Answer:

1

Step-by-step explanation:

2x + 1 = -3x + 6

add 3x

5x + 1 = 6

subtract 1

5x=5

Divide by 5

x=1

If this is correct, please mark brainliest!

Answer:

x=7

Step-by-step explanation:

2x + 1 = 15

-3x+6 = - 15

Since they are equal the equation is true

An evergreen tree is supported by a wire extending from 1.5 feet below the top of the tree to a stake in the ground. The wire is 24 feet long and forms a 58° angle with the ground. how tall is the tree?​

Answers

Answer:

Approximately [tex]21.9\; \rm ft[/tex] (assumption: this tree is perpendicular to the ground.)

Step-by-step explanation:

Refer to the diagram attached (not drawn to scale.)

Label the following points:

[tex]\rm S[/tex]: stake in the ground.[tex]\rm A[/tex]: top of the tree.[tex]\rm B[/tex]: point where the wire is connected to the tree. [tex]\rm C[/tex]: point where the tree meets the ground.

Segment [tex]\rm SB[/tex] would then denote the wire between the tree and the stake. The question states that the length of this segment would be [tex]24\; \rm ft[/tex]. Segment [tex]\rm AB[/tex] would represent the [tex]1.5\; \rm ft[/tex] between the top of this tree and the point where the wire was connected to the tree.

The question is asking for the height of this tree. That would correspond to the length of segment [tex]\rm AC[/tex].

If this tree is perpendicular to the ground, then [tex]\rm \angle A\hat{C}S =90^\circ[/tex]. Triangle [tex]\rm \triangle BCS[/tex] would be a right triangle with segment [tex]\rm SB[/tex] as the hypotenuse.

The question states that the angle between the wire (segment [tex]\rm SB[/tex]) and the ground (line [tex]\rm SC[/tex]) is [tex]58^\circ[/tex]. Therefore, [tex]\rm \angle A\hat{S}C = 58^\circ[/tex].

Notice, that in right triangle [tex]\rm \triangle BCS[/tex], segment [tex]\rm BC[/tex] is the side opposite to the angle [tex]\rm \angle B\hat{S}C = 58^\circ[/tex]. Therefore, the length of segment [tex]\rm BC\![/tex] could be found from the length of the hypotenuse (segment [tex]\rm SB[/tex]) and the cosine of angle [tex]\rm \angle B\hat{S}C = 58^\circ\![/tex].

[tex]\displaystyle \cos\left(\rm \angle B\hat{S}C\right) = \frac{\text{length of $\mathrm{BC}$}}{\text{length of $\mathrm{SB}$}} \quad \genfrac{}{}{0em}{}{\leftarrow\text{opposite}}{\leftarrow \text{hypotenuse}}[/tex].

Rearrange to obtain:

[tex]\begin{aligned}& \text{length of $\mathrm{BC}$} \\ &= (\text{length of $\mathrm{SB}$}) \cdot \cos\left(\angle \mathrm{B\hat{S}C}\right)\\ &= \left(24\; \rm ft\right) \cdot \cos\left(58^\circ\right) \approx 20.35\; \rm ft\end{aligned}[/tex].

In other words, the wire is connected to the tree at approximately [tex]20.3\; \rm ft[/tex] above the ground.

Combine that with the length of segment [tex]\rm AB[/tex] to find the height of the entire tree:

[tex]\begin{aligned}&\text{height of the tree} \\ &= \text{length of $\mathrm{AC}$} \\ &= \text{length of $\mathrm{AB}$} + \text{length of $\mathrm{BC}$}\\ &\approx 20.35\; \rm ft + 1.5\; \rm ft \\ &\approx 21.9\; \rm ft\end{aligned}[/tex].

dy÷dx=(x-1)(x+3) at x=2 first principal ​

Answers

Answer:

δy

δx = 2x − 4 + δx;

and the limit as δx → 0 is

dy

dx = lim

δx→0

µδy

δx¶

= 2x − 4.

Step-by-step explanation:

dy/2d=(2-1)(2+3)

dy/2d=4+6-2-3

dy/2d=5

dy=5(2d)=10d

2d=5/dy

dy=5×(5/dy)= 25/dy

2d=5/dy

dy^2=25

dy=√25=5

2d=5/dy=5/5=1

d=1/2

dy=1/2×10=5 y=10

plug all of the values

5/(1/2×2)=5

=

4+6-2-3=5

so finally: 5=5

any questions?

A function, f left parenthesis x right parenthesis comma models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why f left parenthesis x right parenthesis can be considered a linear function? I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount. II. The function grows by equal factors every minute. III. The slope of the function is constant.

Answers

Answer:

quiz let or brainy helps me just look up the chapter question and you will get the answer

Step-by-step explanation:

hope this helps

f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is the following statement representing a function - f(x), that models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute.

Assume that we represent the depth of the water rate by [y] and the time in minutes by [m]. We can write the function f(x) as -

y = f(x) = 11m

This is a linear relation and its graph will be a straight line passing through origin.

From this equation, we can make the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

Therefore, f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

To solve more questions on straight line graphs, visit the link below-

brainly.com/question/2954112

#SPJ6

Type the expression that results from the following series of steps:
Start with n and divide by 2.​

Answers

the expression is n/2

The roots to a parabola are 2 and -3. What is one
possible equation for this parabola

Answers

Answer:

x^2+x-6

Step-by-step explanation:

i did a thing

hope this is correct and helps

Answer:

[tex]y = x^2 + x - 6[/tex]

Step-by-step explanation:

Hello!

We can utilize the factored form of a parabola to find a possible equation.

Factored Form: [tex]y = a(x - h)(x - k)[/tex]

h and k are roots

Since the roots of the parabola are given, we can plug in the roots for h and k, and plug in 1 for a and multiply to find the equation.

Find the Equation[tex]y = a(x - h)(x - k)[/tex][tex]y = 1(x - 2)(x +3)[/tex][tex]y = 1(x^2 + x - 6)[/tex][tex]y = x^2 + x - 6[/tex]

One possible equation is [tex]y = x^2 + x - 6[/tex].

Find sin θ. Right Triangle Trigonometry.

Answers

Answer:

A. 16/20

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ

Opposite Leg = 16

Hypotenuse = 20

Step 2: Find Ratio

Substitute [Sine]:                    sinθ = 16/20

Answer:

A. 16/20

Step-by-step explanation:

The sine ratio is the opposite leg over the hypotenuse, opp/hyp.

For angle theta, the opposite leg is 16. The hypotenuse is 20.

sin (theta) = 16/20

Answer: A. 16/20

Which statement is true? 7.11≤−7.1 7.11>−7.1 7.11<−7.1 7.11=−7.1

Answers

Answer:

7.11 > -7.1

Step-by-step explanation:

Tim ate 12 buffalo wings. Jeff ate 125% of the amount Tim ate. How many wings did Jeff eat?​

Answers

Answer:

%50

Step-by-step explanation:

hope this helped luv!

Anita incorrectly wrote z =w-18 to describe the pattern in the table. Choose the best description of Anitas error

Answers

The answer choices are not present

-2 + 0.4x = -0.2(4x+22)
solve

Answers

x= -2
(mark brainliest if correct pls)

Slope from graph 2
Find the Slope!

Answers

Answer:

y= -4x+4

Step-by-step explanation:

so the slope is -4x

Answer:

5/2 is the slope

Step-by-step explanation:

Rise/Run= 5/2

so, slope=5/2

In their first year, The Princess Bride earned $342,600,000 while Double-Take earned $670,900,000. What were their total earnings?

Answers

Answer:

1013500000

Step-by-step explanation:

Addition, mate.

it is 1,013,500,000

Step-by-step explanation:

help again again again​

Answers

Answer:

it's the last choice, by process of elimination that's the only one that includes the 4. and of course the math adds up

the answer is the last choice

9 1/12 = k/9 Solve for K

Answers


k/9-1=12

We move all terms to the left:

k/9-1-(12)=0

We add all the numbers together, and all the variables

k/9-13=0

We multiply all the terms by the denominator


k-13*9=0

We add all the numbers together, and all the variables

k-117=0

We move all terms containing k to the left, all other terms to the right

k=117



Hope this helps ya :) k= 81.75

what’s he length of side a? will give brianliest!!!

Answers

6, it’s the only one that makes since, A and B are WAYYYY too long to be that side and c, 13 would make it longer than both sides and it’s shorter than both sides so d,6 is your answer

The second derivative of a function F is given by F^11(x)=sin(3x)- cos (x^2). How many points of inflection does the graph FF have on the interval 0

Answers

Z+=^ plus deez d3+88 wayward too duke

What is (8 - i) + (5 + 7i)?
O (A) 3 - 8i
O (B) 8i - 3
O (C)-5i
O (D) 13 + 61

Answers

Answer:

13 + 6i

Step-by-step explanation:

expand the brackets (basically drop them), then rearrange the numbers (8 + 5 + 7i - i) then you will get your answer.

The circle shown has a radius of 4 cm.
Not drawn
to scale
х
What is the length of the diameter of the circle?
cm

Answers

Answer:

8 cm

Step-by-step explanation:

4+4=8 To get the diameter, double the radius and add them together.

COLOR THEME
Q ZOOM
ADD NOTE
QUESTION GUIDES
3. An architect built a scale model of an office building using a scale in which
2.5 inches represents 20 feet. The height of the building is 240 feet.
12 in
What is the height of the scale model in inches?
30 in.
Ο Ο Ο Ο
80 in.
25 in.
CLEAR ALL
REVIEWS
NEXT >
10
Os
INTL 3.59
(PREVIOUS
its

Answers

Answer:

30 inches

Step-by-step explanation:

240/20=12

12x2.5=30

Answer:

30 inches jrjdbdbrbejjr

John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?

Answers

Answer:25 percent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

3/12 as a present is 25%

An 18% commission on a video game sale is $63.81. How much is the video game?

Answers

Answer:

$11.49

Step-by-step explanation:

Line B crosses through the points (3,1) and (-3,-1). Using those two points, find the slope of line B.

Answers

The slope of line B is 2/6. Attached below is my work. Hope you score a ^w^

which graph best models y>2x-4

Answers

Sorry, is there an option for this equation?

Answer:the answer is the first graph

(0,-4) with a slope of 2

Step-by-step explanation:

Please be honest :( I’ll mark u please help

Answers

The second answerrrrrrrrr
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