Gloria set aside $100 to buy school lunches for the year. Each school lunch cost $2. The inequality 100 – 2x < 20 can be used to find the number of school lunches Gloria can buy before she has less than $20 left. What is the solution to this inequality?

Answers

Answer 1

Answer:

she would be able to buy 40 lunches

Step-by-step explanation:

Subtract  100  from both sides of the inequality

Divide each term by   −2  and simplify.

Answer 2

The solution to the inequality 100 – 2x < 20 is x > 40

How to find solution to an inequality?

She set aside $100 to buy school lunches for the year. Each school lunch cost $2.

Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.

100 – 2x < 20

The solution of the inequality is as follows;

100 – 2x < 20

subtract 100 from both sides

100 - 100 - 2x < 20 - 100

-2x < - 80

divide both sides by -2

x > 40

learn more on inequality here: https://brainly.com/question/11872626

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Related Questions

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x=58

Step-by-step explanation:

Answer:

x=26 degree

Step-by-step explanation:

x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)

x+154=180

x=180-154

x=26 degree

therefore the value of x is 26 degree.

what is the result when this equation is solved for y?​

Answers

Answer:

Ans:C

Step-by-step explanation:

4x^2+10x-2=6

4x^2+10x=6+2y

4x^2+10x-6=2y

(4x^2+10x-6)÷2=y

y=2x^2+5-3

Hope this is useful :)

someone help me with this

Answers

-3^3 is also 1/3^3
Which is 1/9

Answer:

-27 or 1/27 ( both are same)

Step-by-step explanation:

-[tex]3^{3}[/tex]

-3 * -3 * -3

=-27 or 1/27


Please help thanks! Brainliest

Answers

9 x 9 = 81
81 - 21 = 60
60 / -6
10

Answer:

-10

Step-by-step explanation:

[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]

If Harry flies to the moon at 4000 miles per hour, but returns at 6000 miles per hour, what
is Harry’s average speed of the trip?

Answers

Answer:

5000 miles per hour.

6000+4000 =10000

10000/2 = 5000 miles per hour

Your bill at dinner is $25. Sales tax is 8.1% and you will tip 18%. What is your total.


whoever does the step by step FIRST will get brainliest

Answers

Answer:

31.525

Step-by-step explanation:

first you calculate the tip, 0.18*25 is 4.5

then you calculate the tax, 0.081*25 is 2.025

finally you add everything together, 25+4.5+2.025 is 31.525

24 PLUS 18 IJIEWJFQFHQR

Answers

Answer:

37

Step-by-step explanation:

Answer:

24+18 is 42.

Step-by-step explanation:

1

24

+18

____

 42

p l e a s e h e l p
(Only spaced it cus I needed 20 characters, danke)

Answers

Answer:

y = 63

Step-by-step explanation:

A straight line is equal to 180 degrees.

180 = 2y - 18 + y + 9

180 = 3y -9

189 = 3y

189/3

y = 63

Answer:

63

Step-by-step explanation:

2y-18+y+9=180 degrees

3y-9=180 degrees

3y=189 degrees

y=63 degrees

9+4^2/8x3

What does this equal ?

Answers

Answer 2x^3+9
Explanation: evaluate the exponent
9+4^2/8•x^3
9+16/8•x^3
Divide the numbers
9+16/8•x^3
9+2x^3
Rearrange terms
9+2x^3
2x^3+9 and that’s the answer;)

Answer:

[tex]9+4^2\div 2^3\tems*3[/tex]

[tex]9+2^4\div8*3[/tex]

[tex]9+2*3[/tex]

[tex]9+2*3[/tex]

[tex]9+6[/tex]

[tex]15[/tex]

-------------------------hope it helps..have a great day!!

6. A tank can hold 50 litres of water. At present, it is only 30% full. How many litres of water shall I put in the tank so that it is 50% full?​

Answers

Answer:

10 litres

Step-by-step explanation:

50 litres - 100%

x litres - 30%

x=(50*30)/100=15 litres - that's 30% of the tank (this amount of water is already added)

50 litres - 100%

x litres - 50%

x=(50*50)/100=25 litres - that's 50% of the tank (this amount of water will be in the tank)

To find what amount of water should be added we must subtract the amount of water that is already added from the amount of water that will be in the tank.

25 - 15=10 litres should be added

If f(x) = 2x - 1, find f'(x).​

Answers

Answer:

f'(x)=2

Step-by-step explanation:

[tex]if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2[/tex]

Can someone help wit this please

Answers

Answer:

1520.53

Step-by-step explanation:

The volume of a cylinder is V = pi r^2 h

So you put 16 as the h and half of 11 because 11 is the diameter as r.

V= pi (5.5)^2 * 16

We can also approximate pi and put 3.1415

V= 3.1415 * (5.5)^2 * 16

V = 3.1415 * 30.25 * 16

V= 1520.486

And that is closest to the 3rd option 1520. 53 so that's the answer.

Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.

Answers

Answer:

76°

Step-by-step explanation:

Applying trigonometry :

Angle x ;

Tan x = opposite / adjacent

Tan x = (30/20)

x = tan^-1(30/20)

x = 56.31°

Angle y;

Tan y = opposite / adjacent

Tan y = (22/20)

x = tan^-1(22/20)

x = 47.73°

The angle θ ;

Sum of angles in a straight line = 180

56.31 + 47.73 + θ = 180°

θ = 75.96°

The number of subsets that can be created from the set {1, 2, 3} is:

Answers

Answer:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subset : {} ; {1}  ; {2}  ; {3}  ; {1,2}  ; {2,3} ;  {1, 3} ; {1,2,3}

Number of subsets = 8

Here is a formula 5t+3=4w(t+2) rearrange the formula to make t the subject

Answers

Answer: [tex]t=\frac{8w-3}{-4w+5}[/tex]

Step-by-step explanation:

Ok let's solve for t

[tex]5t+3=4w(t+2)\\[/tex]

First let's use the distributive property

[tex]5t+3=(4w)(t)=(4w)(2)\\5t+3=4tw+8w[/tex]

Now let's subtract 4tw to both sides

[tex]5t+3-4tw=4tw+8w-4tw\\-4tw+5t+3=8w[/tex]

Next we'll subtract 3 on both sides

[tex]-4tw+5t+3-3=8w-3\\-4tw+5t=8w-3[/tex]

We can now factor out the variable t

[tex]t(-4w+5)=8w-3[/tex]

Now we can divide both sides by -4w+5 giving us our answer

[tex]\frac{t(-4w+5)}{-4w+5} =\frac{8w-3}{-4w+5} \\t=\frac{8w-3}{-4w+5}[/tex]

Mrs. Terry's class has 28 students. The class includes 12 boys. What is the
ratio of girls to boys? (remember to simplify)
3:4
3:7
4:3
7:3

Answers

Answer:   4:3.

Step-by-step explanation:

The original answer is 16:12. But, when it's simplified, it's 4:3

Answer:

4:3

Step-by-step explanation:

28-12 the boys

16=girls

ratio; 16=12

g=b

simplify 16=12

4=3

Please help I’ll give brainliest

Answers

Answer:

B. $180

Step-by-step explanation:

3/2 × $120 = $180

______

Which of the following does not represent a function?

Answers

C, the circle because it fails the vertical line test.
It’s C because I did the math I hope you get the right answer and a good day

if you are at (0,0) on a coordinate grid, what direction do you go to plot point (-2,6)​

Answers

Answer:

go left 2 and up 6

Step-by-step explanation:

(x,y)

(x,y) --> (-2,6)

0 = x      0 = y

0 - 2 = -2 = x

0 + 6 = 6 = y

(-2,6)

When making the X negative, you want to go left on the grid. When making Y positive, you want to go up on the grid.

Answer: you would go to the left side horizontally (aka quadrant 3), then go down until 6 vertically

Step-by-step explanation: if you don't get it, here's a visual explanation

What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?

Answers

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

Jessica wants to make tarts. To make tarts, she needs ¾ of a cup of flour per batch of tarts. If Jessica has 9 cups of flour, then how many batches of tarts can Jessica make?

Answers

Answer:

108

Step-by-step explanation:

Jesicca wants to make tarts

She uses 3/4 cup of flour per batch

Jessica has 9 cups of flour hence the number of batches she will make can be calculated as follows

= 9÷ 3/4

= 9÷ 0.75

= 12

= 12×9

= 108

Hence Jessica will make 108 batches of tart

Help please, por favor, s'il vous plait in all the language I can say please. I really need your help

Answers

Answer:

192

Step-by-step explanation:

16^2+b^2= 20^2

256+b^2=400

b^2=144

b= 12

height = 12

1/2bh= Area of a triangle

12*32=384

384/2= 192

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

28[tex]\pi[/tex] in

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex] in which [tex]r[/tex] represents radius.

[tex]2\pi[/tex]×14 = 28[tex]\pi[/tex] in

Answer:

[tex]circumference \: of \: the \: circle = 2\pi \times radis[/tex]

[tex] = 2 \times \frac{22}{7} \times 14[/tex]

[tex] = \frac{11}{1} \times 2[/tex]

[tex] = 11 \times 2[/tex]

[tex]22cm[/tex]

A . 12
B . 15
C . 36
D .39

Answers

Answer:

The answer is 36 or c all you need to do is multiply 12 by 3

C-36 because your multiplying all of them by 3

Simplify: (4 – 5) – (13 – 18 + 2).

Answers

(4 – 5) – (13 – 18 + 2).

= -1-(13+2-18).

= -1-(15-18).

= -1-(-3).

= -1+3.

= 2.

Answer:

the answer is 3

Step-by-step explanation: ik

A rectangle with an area of 81 cm² has a length that is 3 times the width. How long is the width of the rectangle? Round to the nearest tenth.

Answers

Answer:

W ≈ 5.2 cm

Step-by-step explanation:

Represent the length and width by L and W respectively.

Then L * W = 81 cm^2, and L = 3W.

Substituting 3W for L in the first equation, we get:

3W * W - 81 = 0, or 3W^2 - 81 = 0.

To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as

            81

W^2 = ------- = 27

              3

Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm

Answer:

60.75 ≈ 60.8

Step-by-step explanation:

4u-> 81

1u -> 20.25 (width)

3u-> 60.75 (length)

what is 9/7 - 1/6= answer ​

Answers

Answer:

tht's just the answer

Step-by-step explanation:

9/7 is equal to 54/42 and 1/6 is equal to 7/42

54/42 - 7/42 is equal to 47/42

Answer:

47/42

Step-by-step explanation:

First, we make both fractions have the same denominator. The LCM of 6 and 7 is 42.

9/7 * 6/6 = 54/42

1/6 * 7/7 = 7/42

54/42 - 7/42 = 47/42

Need help with this!!! Only have a few minutes left!!!

Answers

Answer:

Step-by-step explanation:

Which expression is equivalent to (3x2 – 2x + 6 ) + ( 3x - 4)?​

Answers

Answer:

3×2-2x + 6 + 3x - 4

-2x +3x + 3 × 2 +6-4

x + 8

math. please help..with working ​

Answers

Answer:

[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].

What we're given:

[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cm

Substituting given values, we get:

[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]

Answer:

c

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]

We know r is 5, and h is 12.

Then we can just plug the values into the formula.

[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]

So the answer is c, 300pi

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