Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane did.


Write an inequality to determine the number of cans, S, that Shane could have collected.

What is the solution set of the inequality?

Answers

Answer 1

Answer:

Shane=x

Abha=y

x+y>=2000

x-y=178 Which leads to x=178+y ..... #1

hence by substitution in the inequality

178+2y>=2000

2y>=2000-178

2y>=1822

y>=911 ......in #1

x>=178+911

x>=1089

Solutions x>=1089 & y>=911


Related Questions

Identify a transformation of the function f(x) = x by observing the equation of
the function g(x) = VX+3.

Answers

Answer:

1st option

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here g(x) = [tex]\sqrt{x+3}[/tex]

The base graph f(x) has been shifted left 3 units

help me with the question of o.math​

Answers

Answer:

Hello,

Answer 163

Step-by-step explanation:

1,7,16,28,43,..., 10th term=?

[tex]u_1=1,u_2=7,u_2-u_1=7-1=6=2*3\\u_3=16, u_3-u_2=16-7=9=3*3\\u_4=28, u_4-u_3=28-16=12=4*3\\u_5=43, u_5-u_4=43-28=15=5*3\\\\\boxed{ u_1=1, \ u_{n+1}-u_{n}=(n+1)*3}\\\\u_{10}=163\\[/tex]

Answer is 163 use formula to find the ninth term


1. Solve the equation: - 2x + 8 = 3x + 14

Answers

-2x + 8 = 3x + 14

-2x - 3x = 14 - 8

-5x = 6 / : (-5)

x = -1,2

Answer: x = -6/5

Step-by-step explanation:

Given equation

-2x + 8 = 3x + 14

Subtract 3x on both sides

-2x + 8 - 3x = 3x + 14 - 3x

-5x + 8 = 14

Subtract 8 on both sides

-5x + 8 - 8 = 14 - 8

-5x = 6

Divide -5 on both sides

-5x / -5 = 6 / -5

[tex]\boxed{x = -\frac{6}{5} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is 7 1 in expanded form

Answers

Step-by-step explanation:

70+1

Steps:

write tens and then ones

Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?​

Answers

Answer:

729000 year it's price will Rs 729000

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1
-4 -7
7
13
- 10
19
-13
3
Is the relationship shown by the data linear? If so, model the data with an equation.

Answers

Answer:

Yes and the equation is 2y=-x-7

Step-by-step explanation:

Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7

The width of a rectangle is 9
inches less than the length. The
perimeter is 86 inches

Answers

Answer:

Below.

Step-by-step explanation:

If the length is x then the width is x-9 inches.

Perimeter

= 2L + 2W = 86

2x + 2(x - 9) = 86

4x - 18 = 86

4x = 104

x = 26

So the length is 26 inches and the width is 17 inches.

Molly wrote a computer program that generates two random numbers between one and 10. When she runs it, what is the probability that both values will be less than 7? (Type your answer as a rati You can use a number more than once. SUBMIT​

Answers

Answer:

Step-by-step explanation:

The accepted values are  2 3 4 5 6   One is not counted. It says between.            

The total number of ways each dice can be thrown is  2 3 4 5 6 7 8 9 Ten is not counted. Same reason.

5/8 * 5/8 = 25/64 = 0.39

On the coordinate plane, point P is located at (3, y) and point Q is located at (1, -4). The distance between
points P and Q is 29 units.
What are the two possible values of y?

Answers

Answer:

y = 23, -31

Step-by-step explanation

ttyl

1. PLEASEE HELP!! Find the slant height of the cone
13 m
11 m
17 m
15 m

Answers

Answer:

17 m

Step-by-step explanation:

I gotchu

First use Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2

This method is going to tell us the slant height of the cone

Now since the diameter is 16, split it in half so b^2 would be 8

Now here remember your sides for using Pythagorean Theorem. a = 15, b = 8 and c = the slant height

15^2 + 8^2 = c^2

225 + 64 = c^2

c^2 = 289

c = 17

Therefore, the slant height of the cone is 17 m

write two properties of right angled triangle​

Answers

Answer:

The properties of right angle triangle are as follows

the hypotenuse is the longest sideone angle is 90 degree then other angle will be also 90 degree.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
An alphabetical list is generated of each member of the student body at a local middle school. The first name on the list is in the sample, along with every 5th name on the list after that. This is an example of a __________________.
A. systematic sample
B. stratified random sample
C. convenience sample
D. random sample

Answers

Answer:

Option A, systematic sample

is three a solution of z^2 +1=4+3z?

Answers

Answer:

no

Step-by-step explanation:

z^2 +1=4+3z

Substitute into the equation and see if it is true

3^2 +1 = 4+3(3)

9+1 = 4+9

10 = 13

This is not a true statement so this is not a solution

(b) A shopkeeper gives 20% discount on the marked price of a television set. The VAT amount at the rate of 13% is Rs. 2,600. Find the marked price and the amount of discount.​

Answers

Answer:

6.3

Step-by-step explanation:

i had the same question for school

15. In a class of 40 students, 15 passed in Mathematics and Science both and 20 passed in only one subject. How many students failed in both the subjects? (A) 5 (B) 25 (C) 20 (D) 45​

Answers

The answer may be A.

The dimensions of four rectangles are given below. Which has an area different from the area of each of the other three?

Answers

To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b

The dimension of the 4 rectangles are:

a. length: 4x and width: 4

b. length: 11 and width: x

c. length: 2 and width: 8x

d. length: 16x and width: 1

The area of a rectangle is:

[tex]Area = Length \times Width[/tex]

Rectangle (a)

[tex]Area = 4x \times 4[/tex]

[tex]Area = 16x[/tex]

Rectangle (b)

[tex]Area = 11 \times x[/tex]

[tex]Area = 11x[/tex]

Rectangle (c)

[tex]Area = 2 \times 8x[/tex]

[tex]Area = 16x[/tex]

Rectangle (d)

[tex]Area = 16x \times 1[/tex]

[tex]Area = 16x[/tex]

Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.

Hence, the rectangle with a different area is rectangle (b).

Read more about areas of rectangles at:

https://brainly.com/question/14383947

For what values of the variable does the following expression make sense:
(squareroot) 1+3a/25

Answers

Answer:

a ≥ -1/3

Step-by-step explanation:

The square root must be greater than or equal to zero

sqrt(1+3a /25) ≥ 0

Square each side

(1+3a)/25≥ 0

Multiply each side by 25

1+3a≥0

Subtract 1

3a ≥ -1

Divide by 3

a ≥ -1/3

Marquice and Tim was selling tickets for the upcoming basketball game Marquice sol 25% more than 10 if they sold 45 tickets total how many tickets did each of them sell

Answers

Answer:

Marquice sold 20 tickets and Tim sold 25 tickets

Step-by-step explanation:

Let us assume that Tim sold x number of tickets, Marquice sold 25% more x or 1.25x. ATQ, x+1.25x=45. x=20. So Marquice sold 20 tickets and Tim sold 25 tickets

6 = 2(1+2) =
Somebody help me answer this please

Answers

Answer:

Step-by-step explanation:

6 = 2(1+2)

Use distributive property (Multiply 2 and 1. Then multiply 2 and 2)

6 = 2+4

Now add

6=6

This means the statement is true

Answer:

6 = 6 This statement is true.

Step-by-step explanation:

First you want to distribute the 2 into the 1 and 2.

6 = 2 + 4

Add.

6 = 6

This is true.

A family drives an average speed of 60 miles per hour on a trip from Pensacola to Orlando.
Part A
Write an inequality to show how many hours, h, the family must drive to travel the 438 miles to Orlando.
Part B
For how many hours must the family drive to travel the 438 miles?

Answers

The family must drive 430 miles to get to Pensacola Colorado

Math pls help 10 points

Answers

Answer: i choose c because the line is going right so the > means that it is going that way and the line under the> means that the circle under the graph is closed but the answer is c

Step-by-step explanation:

Someone help please

Answers

Answer:

c

Step-by-step explanation:

62.5 = 10(b)^2

62.5÷10 = b^2

6.25 = b^2

square root 6.25 and b^2

the answer is 2.5

What is the percent change from 75 to 14?

Answers

Answer:

the change is -81.33% (the 3 is repeating)

can a kind soul pleaseee help me???!!!!!!!!!!!!!!!

Consider the line y = 4x + 9. If a *second* line is perpendicular to this one, what is its slope?

please show how you got it so I can see if the answer makes sense!!!!

Answers

Answer:

m=-1/4

Step-by-step explanation:

a perpendicular slope such that the original is m is -1/m, the negative reciprocal

A number is doubled and 7 is subtracted from the answer, if the result is -25.
-create an equation
-solve the equation to find the number
Please Respond

Answers

ANSWER:
2n-7=-25
n=-9

(number= variable (n))
2x-7=-25

X=-16

Explanation
Subtract 7 from -25 and you get -32

Then 2x=-32 we divide by 2 and x equals -16

Help me please Will give brainlist

Answers

Answer:

Step-by-step explanation:

These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,

[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]

The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:

[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]

Write the polynomial in standard form 6 + 5x+4x^3-9x^2

Answers

Answer:

4x^3-9x^2+5x+6

Step-by-step explanation:

6 + 5x+4x^3-9x^2

Write the powers of x from highest to lowest

4x^3-9x^2+5x+6

Find the perimeter of the shape with vertices (2, 3), (5, 3) and (5, 7).

Answers

Answer:

12 units

Step-by-step explanation:

To find the perimeter given vertices, find the distance from one point to another.

Step 1. Find the distance between (2, 3) & (5, 3)

Answer: 3 (in this case) because for 2 to get to 5, it’s 3 units

Step 2. Find the distance between (5, 3) & (5, 7)

Answer: 4 (in this case) because for 3 to get to 7, it’s 4 units

Step 3. Find the distance between (5, 7) & (2, 3)

Answer: 5

Step 3 explanation: In image.

Step 4. Add all the distances between the points.

3 + 4 + 5 = 12 units

The perimeter is 12 units

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

Answers

Answer:

165.7 or 166

Step-by-step explanation:

since the adjacent has already been given which is 113 you have to use the cos ratio to find the hypotenuse

cos47=adjacent/hypotenuse

cos47=113/h

cos47h/cos47=113/cos47

hypotenuse=166

I hope this helps

Answer:

Hypotenuse is 165.689

Step-by-step explanation:

For this question you will be using cosine.

You start solving this problem as C (cosine) = A/H (adjacent over hypotenuse).

COS(47) / 1 = 113/H

Meaning cosine of 47 over 1 is equal to 113 over H (hypotenuse).

Next you cross multiply leaving you with 113/ COS47 = COS47 x H

Next you divide both sides by COS47 x y

and divide 113 by COS47 and get your answer.

Diagram that shows 8/10 and 4/5 are equal

Answers

Answer:

yes they are equal because if u break them down to the smallest fraction .. explained what number will go in to 8 and 10 (two) so 10÷2 is 5 same with 8 .8÷2 is 4 4/5

Answer:

Step-by-step explanation:

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