A scrapyard had 200 tons of recycled steel. They sold 15 tons per day for several days. If there are fewer than 80 tons left at the scrapyard, how many days, d have passed?
A. Write and inequality to answer this question


B. Solve the inequality

Answers

Answer 1
A.
total-sold<80
sold=15d
200-15d<80

B.
200-15d<80
minus 200 both sides
-15d<-120
divide both sides by -15, don't forget to flip sign
d>8
Answer 2

The inequality represent the given situation is 200-15d<80.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, a scrapyard had 200 tons of recycled steel.

They sold 15 tons per day for several days.

Let the number of days be d.

Here, the inequality is 200-15d<80

Add 15d on both the sides of an inequality, we get

200-15d+15d<80+15d

200<80+15d

Subtract 80 on both the sides of an inequality, we get

120<15d

Divide 15 on both the sides of an inequality, we get

d>8

Therefore, the inequality represent the given situation is 200-15d<80.

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Related Questions

which expression is equivalent to 2 (a+2b)-a-2b?

Answers

2(a + 2b) - a - 2b =
2a + 4b - a - 2b =
a + 2b <==

The equivalent expression is a+ 2b.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

2(a+2b)-a-2b

Now, solving the expression we get

= 2(a + 2b) - a - 2b

= 2a + 4b - a -2b

= 2a - a + 4b - 2b

= a + 2b

Hence, the equivalent expression is a+ 2b.

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What is 246 divided by 3

Answers

246 divided by 3 is 82.

The value of 246 divided by 3 is 82 .

Given,

246/3

Here,

Divisibility rule of 3: A number is divisible by 3 if the sum of the digits of the number is divisible by 3.

Here,

Sum of digits of number = 2+ 4 + 6 = 12

Thus 12 is divisible by 3 , so 246 will be divisible by 3.

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A garden snail moves 1/6 foot in 1/3 hour. What is his rate in feet per minute?

Answers

I hope you can read this or see it and it helps,thanks bye bye.

three divided by 42 showing long division way

Answers

14,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Your answer would be "14" I would show you how I got my answer but I'm on my laptop .. 


which is another way to write 12x10 exponent 3

Answers

12(10^3) is my answer
12(10^3) is what I would get

23 percent of 432 rounded to the nearest whole number

Answers

108 is the correct answer cause 23÷100=0.23 than you do 0.23×432=108
"23 percent of 432 rounded to the nearest whole number"
Whenever you need the percentage of a number, you can find it by muliplying that number by the percentage converted into decimal form.
So in this example, convert 23% to 0.23.  Now multiply:
432 x 0.23 = 99.36
To round to the nearest whole number, you want to round until you have no digits to the right of the decimal point.  99.36 rounds to 99 because the decimal part (.36) of 99.36 is less than .50 .

Ken watches a marching band he sees 2 rows of flute players six people are in a row he sees 8 trombone players how many flute players and trombone players does Ken sees

Answers

if 6people are in a row
flute players will be 2x6= 12
trombone players will be 8
12+8= 20 people altogether

Answer:

20

Step-by-step explanation:

We have been given that Ken watches a marching band he sees 2 rows of flute players. Six people are in a row.

First of all, we will find number of flute players by multiplying 6 by 2 as:

[tex]\text{Number of flute players}=2\times 6[/tex]

[tex]\text{Number of flute players}=12[/tex]

Since Ken sees 8 trombone players, so total number of people would be 12 plus 8.

[tex]\text{Number of flute players and trombone players}=12+8[/tex]

[tex]\text{Number of flute players and trombone players}=20[/tex]

Therefore, Ken sees 20 flute players and trombone players.

16x+5=-11 what is the solution?

Answers

16x+5=-11

Were trying to get the x alone.

First subtract 5.

16x=-16

Then divide by 16.

x=-1
16x+5=-11. you wanna get x by itself. minus 5(you wanna do the opposite sign) and minus 5 from -11.
16x=-16
x=-1

2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.

Answers

108 divided by 2 = 54 minutes
108 divided by 5 = 21.6 minutes

Answer:

Drain A [tex]54\ min[/tex]

Drain B [tex]21.6\ min[/tex]

Step-by-step explanation:

Let

x------> the time in minutes

y-----> the volume of the pool in gallons

we know that

The equation that represent the situation is equal to

[tex]y=mx[/tex]

solve for x

[tex]x=y/m[/tex]

Drain A

[tex]x=y/m[/tex]

In this case we have

[tex]m=2\frac{gal}{min}[/tex]

[tex]y=108\ gal[/tex]

substitute

[tex]x=108/2=54\ min[/tex]

Drain B

[tex]x=y/m[/tex]

In this case we have

[tex]m=5\frac{gal}{min}[/tex]

[tex]y=108\ gal[/tex]

substitute

[tex]x=108/5=21.6\ min[/tex]

1) make a trail mix with 5 ingredients. they should make exactly 10 cups but the

ALL THE INGREDIENTS SHOULD BE DIFFERENT MIXED NUMBERS

Answers

5 Cups
1 Cup
2 Cup
1/2 Cup 
1 1/2 Cup

5+1+2+1/2+1 1/2=10

On an airplane there are two seats on the left side in each row and three seats on the right side. There are 150 seats altogether.

A. How many seats are on the left side of the plane?

B. How many seats are on the right side?

Answers

In order to solve these you first need a ratio.
From what we can tell, the ration from LEFT to RIGHT is:
2:3
Therefore, in order to have a 2:3 ratio, we need 5 parts total (2 parts on left + 3 parts on right = 5 total parts!) 

A) 60

B) 90

I NEED HELP ill mark brainilist to best answer

Answers

All you have to do is add up the side lengths we already know then subtract by the perimeter.
60.3 is the side lengths all together that we know
82-60.3=21.7
Hope this helped!!

To solve for what one of the sides is, basically add all of the sides of this irregular shape and make it equal to the total perimeter.

d + 15.4 + 16.2 + 28.7 = 82

d + 60.3 = 82
d = 82 - 60.3
d = 21.7 cm.

The solution for d is that it is 21.7 cm.

a triangle has base 7m and area 17.5 m^2 . what is the height?

Answers

The answer to this is 5m.

Find 3 multiple 1,789 how is multiplying a 3 digit number like multiplying a 4 digit number

Answers

3x1,789=5367. as for y 3 digit number is like multiplying a 4 digit number, it's basically the same thing just one digit more.

Multiplication is a method of finding the product of two or more numbers5367 is the 3 multiple 1,789

What is Multiplication?

Multiplication is a method of finding the product of two or more numbers

We need to find 3 multiple 1,789

Three times of one thousand seven hundred eighty nine.

1789 has four digits and 3 has only one digit.

We have to multiply one digit number with all the four digits

1789

×    3

_________

5367

Hence 5367 is the  3 multiple 1,789.

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Use doubles minus one to solve 8 + 7

Answers

like 2*8-1=16-1=15
easy

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions

Answers

Infinitely many ways! 
Suppose you have the fraction 2/d.

Pick any pair of integers a and b where b ≠ 0.
Then 2b-ad is and integer, as is bd so that (2b - ad)/bd is a fraction.

Consider the fractions a/b and (2b - ad)/bd

Their sum is 
a/b + (2b-ad)/bd = ad/bd + (2b-ad)/bd = 2b/bd = 2/d - as required.

Since a and b were chosen arbitrarily, there are infinitely many possible answers to the question.

after working for 25 hours, Lamar made $375. After working 40 hours, Lamar made $600. Predict how much he would make after 10 hours of work?

Answers

375÷25=15
600÷40=15
so his pay is 15 dollars per hour.
now multiply 15×10=150
so his pay is 15 dollars per hour hope it helps

Draw a model to represent the ratio 1 to 3 describe how to use the model to find an equivalent ratio

Answers

their are 3 ways 1:3 1/3 and 1 to 3 these are equivalent ratios
Final answer:

To represent the ratio 1 to 3 using a model, you can draw one square divided into three equal parts. To find an equivalent ratio, you can multiply both parts of the ratio by the same number.

Explanation:

To draw a model to represent the ratio 1 to 3, you can use squares or rectangles. For example, you can draw one square and divide it into three equal parts. Then, label the first part as 1 and the other two parts as 2 and 3. This represents the ratio 1 to 3.

To find an equivalent ratio, you can multiply both parts of the ratio by the same number. For example, if you multiply both parts by 2, the new ratio would be 2 to 6, which is equivalent to the original ratio.

Describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem. & Write a situation for 15x - 20 < 130

Answers

add 20 both sides
15x<150
divide bothsides by 15
x<10


ok
hmm

bob puts out 15lb of trash per day
he lost 20lbs of it
right now, he has less than 130 lb of trash
find how many days it has been

a group of girls wants to buy a soda. the soda cost $1.25. how much sodas can they buy with 20 dollars? Make a chart to show your ANSWER

Answers

one soda cost $1.25
two sodas cost $2.50
three sodas cost $3.75
four sodas cost:$5.00
so four cost five dollar,20 have 4 five in it
so 4*4 is 16
you can buy sixteen sodas with 20 dollars
try to do a chart with these information




Final answer:

The group of girls can purchase 16 sodas with $20. Because each soda costs $1.25, we find this by dividing the total amount of money ($20) by the cost of each soda ($1.25)

Explanation:

The question is asking how many sodas a group of girls can buy with $20 if each soda costs $1.25. To find this out, you need to divide the total amount of money they have ($20) by the cost of each soda ($1.25). Therefore, $20 divided by $1.25 equals 16, so the girls can buy 16 sodas with $20. Here is a chart to illustrate this:

$1.25 - 1 soda$2.50 - 2 sodas$3.75 - 3 sodas...$18.75 - 15 sodas$20 - 16 sodas

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what is 10 1/2 divided by 2 1/4?

Answers

Exact Form: 42/5
Decimal Form: 8.4
Mixed Number Form:  8 2/5
21/2  /  9/4
=21/2 * 4/9
=42/9
=4 6/9
=4 2/3

plzs help math problem im failing shcool

Answers

the second problem the answer is the third one down i think for warning im not that good at math but this should help

Sorry for the late reply but here it is...

1. Second one.
2. Third one.
3. Second one.
4. Last one.
5. y = -12/4x + 21

Hope this helps :)

Complete the equation of the line whose slope is -2, and y-intercept is (0,3)

Answers

equation is y=mx+b
m= slope and b= y-intercept

therefore, y= -2x + 3

Answer:

y=-2x+3

Step-by-step explanation:

Given the slope intercept form of the general equation of a line below:

y=mx+c,

m is the gradient/slope

c is the intercept on the y-axis.

From the given information:

m=-2 and c=3

Therefore substituting into y=mx+c

The equation is y=-2x+3

amber, a very fit snail, moved 7/9 yard in an hour. she challenged the other snails to try to do better. willy moved 4/5 as gar as amber. how far did willy move

Answers

O.62 is how far willy traveled

how do i find the unit cost of $12 for 4 yd2

Answers

Final answer:

To find the unit cost of $12 for 4 yd2, divide the total cost by the number of square yards, resulting in a unit cost of $3 per yd2.

Explanation:

To find the unit cost of $12 for 4 yd2, you should divide the total cost by the number of units. In this case, you divide $12 by 4 yd2 to find the cost per square yard. This gives you a unit cost of $3 per yd2.



Here's the step-by-step calculation:

Write down the total cost and the total area: $12 for 4 yd2.Divide the total cost by the total area to find the unit cost: $12 ÷ 4 yd2 = $3 per yd2.



This is a simple division problem that involves unit conversion and understanding fractions. When you perform the division, the units of yd2 remain, indicating the cost is per square yard.

Final answer:

To find the unit cost of $12 for 4 yd2, divide the total cost by the number of square yards, which results in $3 per square yard.

Explanation:

To find the unit cost per square yard when given a total cost for a certain number of square yards, you would divide the total cost by the number of square yards. In this case, the question is asking how to find the unit cost of $12 for 4 yd2.

Using simple division, take the total cost of $12 and divide it by the number of square yards, which is 4. This can be set up as a fraction: $12/4 yd2. When you divide 12 by 4, you get 3. Thus, the unit cost is $3 per yd2.

To understand this better, we can think of the 4 yd2 as a fraction, 4yd2/1, where we have 1 in the denominator. By dividing the total cost by the number of square yards, we are finding the price per single unit of area. Division is the mathematical operation used here, and after dividing, we find that each square yard costs $3.

need help with questions 1-4 immediatley !!

Answers

1: 10x17=170
2:10x80=180
3:36 hours each day getting cars on and off 25 days so 36x25=900
4:49x34=1,666+52x3=156 the total is 1,822 dollars

what is 1/8 converted to percent

Answers

it is 12.5 percent you divide 100 by 8 and you get 12.5 percent

To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write [tex]\frac{1}{8}[/tex] as a percent, we need to find a fraction equivalent to [tex]\frac{1}{8}[/tex] that has a 100 in the denominator. We can do this by setting up a proportion.

[tex]\frac{1}{8}[/tex] = [tex]\frac{n}{100}[/tex]

Now, we can use cross products to find the missing value.

8n = 100

÷8     ÷8   ← divide by 8 on both sides

n = 12.5

Therefore, [tex]\frac{1}{8}[/tex] is equal to [tex]\frac{12.5}{100}[/tex] or 12.5%.

A math book is 1 and 1/2 inches thick. How many math books will fit on a shelf that is 2 feet long?

Answers

16 books will fit on the shelf

Answer:

20 books NOW WHERE IS MY BRAINLY CROWN

Step-by-step explanation:

Draw a model to represent 12 divided by 3

Answers

draw 12 skittles and 3 girls sharing them

if there are 40 seats per row, how many seats are in 90 rows?

Answers

There are 3600 seats
40+90=130 if you add 40 and 90 it will add up to 130
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