A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?

Answers

Answer 1

The original number of spoons is 958

Let the total number of spoon be x.

The first day, 25 spoons were removed.

So, the remaining spoon (r) is:

[tex]r =x -25[/tex]

15% of the remaining spoon were used.

So, we have:

[tex]15\% \times r =15\% \times (x -25)[/tex]

This 15% represents 140 spoons.

So, the equation becomes

[tex]15\% \times (x -25) = 140[/tex]

Express 15% as decimal

[tex]0.15 \times (x -25) = 140[/tex]

Divide both sides by 0.15

[tex](x -25) = 933[/tex]

Remove brackets

[tex]x -25 = 933[/tex]

Add 25 to both sides

[tex]x= 958[/tex]

Hence, the original number of spoons is 958

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Related Questions

Write TWO different equations that you could use to solve for x. You don't need to solve.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos52° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (1)

The 3rd angle in the triangle is

180° - (90 + 52)° = 180° - 142° = 38°

Using the sine ratio in the right triangle

sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (2)

if m angle 2 =70, find m angle 6

Answers

m angle 6= 210

I'm not sure about this question

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

[please put in correct order]

Answers

Answer:

It the W or the orange point

a computer artist created a rectangular image measuring 55 125 scale factor of 2.5 what are the dimensions of the dilated image? quick!!​

Answers

Answer:

sex

Step-by-step explanation:

69

The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer

Answers

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

Help me plzzzzz
y=__×+__​

Answers

Y=-1/4x-6. There you go

Please someone help, I want to know if I’m correct

Answers

Answer:

Yes youre correct

Step-by-step explanation:

find the value of x²+y² if
x+y=9 xy=14​

Answers

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

1 ton is equal to 2,000 pounds. How many pounds are in 5 tons, 230 pounds?

Answers

Answer: 10230

Step-by-step explanation:

The amount in pound is 1230 pounds.

What is Unitary Method ?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

1 ton is equal to 2,000 pounds.

So, 5 tons  and 230 pounds

= 5 x 2000 + 230

= 1000 + 230

= 1230 pounds.

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A car is 12 feet long. Levi makes a scale model of the car at 1:8 of its actual size. How long is the model

Answers

Answer:

1.5 feet

Step-by-step explanation:

Answer:

1.5 feet or 3/2 feet

Step-by-step explanation:

Solve for B: 19 (less than or equal too sign) B + 17

Answers

Here you go, the work is on the paper attached

The base of a triangle is V75 cm and its height is V12 cm. Find its area.

Answers

Answer:

450 cm area

Step-by-step explanation:

Formula 1/2*b*h

1/2*75*12cm

1/2*900

1*450cm

450 is area  PLEASE MARK BRAINLIEST :))

Find the volume of the sphere.

Answers

Answer:

4.19

Step-by-step explanation:

v=4/3(pie x r^3)

v=4/3(pie x 1^3) = 4.18879

v=4.19

True or false: (log x)2 = 2logx. Explain your thinking.

Answers

False
Well we can’t put 2 log x it’s opposite it’s 2 x log

A set of 6 art books costs $241.25. A copy of one of the books, bought separately, costs $38.25. About how much less is the cost of the 6 books if you buy the set?

Answers

The cost of the 6 books if you buy the set is $11.75 less.

The given parameters:

Total number of books, n = 6Cost of the books, c = $241.25Cost of one book, = $38.25

The total cost of the 6 books when bought separately is calculated as follows;

Cost = 6 x $38.25

Cost = $229.5

The difference in price is calculated as follows;

= $241.25 - $229.5

= $11.75

Thus, the cost of the 6 books if you buy the set is $11.75 less.

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

i don't know but I think question 1 is 64

Peter has 100$. The price of a watch is 60$. If Peter gets 25% discount,can he buy 2 watches?

Answers

yes.

25 percent discount means that the price of one watch is 45 dollars.

45 plus 45 is less than 100.

Answer:

The answer is yes.

Step-by-step explanation:

25% = divide by 4

25% of 60$ = 60$ divided by 4 = 25$

So then we need to do 60$ - 25$ which equals to 45$.

45$ + 45$ = $90.

Hope that helps. x

Look at this graph.
What is the equation of the line in slope-intercept form?
EXPLAIN HOW YOU GOT IT

Answers

Answer:

y = x - 70

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 70) and (x₂, y₂ ) = (70, 0) ← 2 points on the line

m = [tex]\frac{0-(-70)}{70-0}[/tex] = [tex]\frac{0+70}{70}[/tex] = [tex]\frac{70}{70}[/tex] = 1

The line crosses the y- axis at (0, - 70 ) ⇒ c = - 70

y = x - 70 ← equation of line

what expressions are equivalent to 7 ^ 8 x 7 ^ -4

Answers

Answer:

7^4

Step-by-step explanation:

The equivalent expression 7^8 x 7^-4 using a single exponent is 7^4

How to write the expression using a single exponent.

From the question, we have the following parameters that can be used in our computation:

7 ^ 8 x 7 ^ -4

This means that

7^8 x 7^-4

Apply the law of indices

So, we have

7^8 x 7^-4 = 7^(8 - 4)

This gives

7^8 x 7^-4 = 7^4

Hence, the solution is 7^8 x 7^-4 = 7^4

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The measure of an angle is 138°. What is the measure of its supplementary angle?​

Answers

Answer:

Supplementary angle = 42⁰

Step-by-step explanation:

We know that

Sum of two supplementary angle = 180

Let,

Supplementary angle = x

=> 138 + x = 180

=> x = 180 - 138

=> x = 42⁰

If the measure of an angle is 138°, the measure of its supplementary angle is 42°

What are supplementary angles:

Supplementary angles are two angles that sum to 180 degrees. The sum of supplementary angles is equals to 180 degrees.

Therefore, if the angles are x and y , For them to be supplementary,

x + y = 180°

If the measure is 138 degrees, the measure of its supplementary angle can be calculated as follows:

let

its supplementary angle = x

138 + x = 180

x = 180 - 138

x = 42°

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Is this relation a function? {(3, 2), (5, 9), (11, 25)}

Answers

Answer:

Yes

Step-by-step explanation:

None of the X values are the same number.

Light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light
source. The relationship in intensities for subjects at different distances from the same source can
be likewise seen as a ratio or proportional relationship.
I x
A proportional relationship can be mathematically expressed as follows for light intensity (I) in
lumens when a subject is at the light source.
Lumens at current distance
Lumens at origin or source
So, if a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the
source, what is that distance?
Round the value to the nearest tenth if necessary. You do not need to include a label for distance.
Only the number, rounded to the tenth, will be necessary.

Answers

The required distance is 11.4 rounded to the tenth

If light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light  source, this is expressed as:

l = ka/dk is the variation constant

If a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the  source, the distance is calculated as:

l = a/d²

d² = a/l

d² = 516/4

d = √129

d = 11.4

Hence the required distance is 11.4 rounded to the tenth

Learn more on inverse variation here:https://brainly.com/question/13998680

Answer:

2(x + 3) + 4(9x + 8) = ?

Answers

Answer:

38x + 38

Step-by-step explanation:

whats the remainder of 45 divied by 8

Answers

Answer:

5

Step-by-step explanation:

8*5=40

45-40=5

r would be 5

5 R 5

hope this helps

HELP ME PLEASE..!!!!!! Thank youuuuuu…

Answers

Answer:

22

Step-by-step explanation:

2x+x-2=2x+9

3x-2=2x+9

x-2=9

x=11

MN=2x

MN=2(11)

MN=22

Help!!! need the answer asap
Only question 6 please!!

Answers

Answer: D) additive inverse

Explanation:

The concept of the additive inverse is that we add some number x, with its opposite -x, to get 0. The two items cancel each other out.

[tex]x + (-x) = 0\\ \text{or}\\-x+x = 0[/tex]

In this case, [tex]x = \sqrt{3}[/tex]

how many days are in a year?

Answers

Answer:

365 days in a year

Step-by-step explanation:

Look at a calendar

Answer:

Three hundred and sixty-five

Step-by-step explanation:

We know this because it takes exactly 1 year (365 days) to make one rotation around the sun. But we see the sun every day because the earth is on a sort of axis that it rotates on so when one-half of the earth does not see the sun the other half does due to this axis.

How i can answer this question

Answers

Answer:

6x

Step-by-step explanation:

7x-x = x ( 7-1) = 6x

Answer:

6 x

Step-by-step explanation:

Subtract  x  from  7 x .

Which set of ordered pairs represents a function?
a
O {(7,4), (3,8), (-4, –4), (0,4)}
O {(-8,0), (-5,6), (-8, 1), (-6,5)}
{(-5, 1), (3, -7), (2, -4), (2,7)}
O {(4,2), (4, -9), (-9, -6), (7,1)}

Answers

The first set
(7,4), (3,8), etc

A knife is 3x the cost of a spoon9 spoons and 12 knives cost £82.80Work out the cost of 1 knife

Answers

The cost of my me knife is $5.52
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