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

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Related Questions

A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.

Answers

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000

Step-by-step explanation:

9.22   = 9.2200

9.202 = 9.2020

9.8      = 9.8000

9.2211  = 9.2211

Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.

Arranging : 9.2200, 9.2020, 9.2211, 9.800

So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]

Arranging : 9.2020 , 9.2200, 9.2211, 9.8000

Now compare  the numbers in tenths , hundredths and thousandth place :

[220, 202, 800, 221 ]

Arranging : 9.202, 9.220, 9.221, 9.800

Now compare all the four numbers and arrange :

[ 2200, 2020 , 8000, 2211 ]

Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000

2. Which relations are functions? Explain. For each graph, state the domain and range.

Answers

Answer:

A. and C. neither of them have a repeating y value if you input a vertical line on the graph

Will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

How many families in Oats Township have two or more cars?
100
4
1
2
400
200

Answers

Answer:

200

Step-by-step explanation:

Good luck <3

Answer:

200

Step-by-step explanation:

hope it helps

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:

Answers

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

. The time of a clock as seen in a mirror is 3:15. The correct time is​

Answers

Answer:

3:15 cause a mirror cant change time

Step-by-step explanation:

go in ur mirror and look at the time did it somehow get darker or lighter???

Answer:

8:45 i think

Step-by-step explanation:

PLEASEEEE ANSWER THIS IM BEING TIMED AND SHOW YOUR WORK ILL GIVE TOU BRAINLIST IF YOU DO!!!!

Answers

put that in the calculator changing the + or - sign both times tp find x

9. Leonard made a deposit of $4,500 into a
savings account which earns 7% annual
compound interest. Assuming he makes no other
deposits or withdrawals, which of the following
shows the amount of interest his account should
earn after 15 years?

A. $12,415.64

B. $7, 915.64

C. $16,915.64

D. $8,115.64

(please help, it’s urgent) :)

Answers

Answer:

id say a

Step-by-step explanation:

The amount of interest his account should earn after 15 years is:

$7, 915.64.

Here, we have,

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days

Let, A= x

Now, x =$4,500(1+7/100×365)^(365×15)

     x=$12415.64

i.e.  final amount = $12415.64

so,  the amount of interest his account should earn after 15 years is:

$12415.64 - 4500 = $7, 915.64

Hence, the amount of interest his account should earn after 15 years is: $7, 915.64

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Help me please !!!!!!!!!!!

Answers

Answer:

option 1

Step-by-step explanation:

[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]

5. One side of a triangle is 14 cm and another side is 11 cm, therefore, the
third side must be greater than ___
cm and less then ____
cm.

Answers

greater than 11 and less than 14

Sometimes you can use the distributive property to expand an expression.
You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how

Answers

Given:

After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].

The given expression is [tex]-4(-a+2)[/tex].

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]-4(-a+2)[/tex]

Using distributive property of multiplication over addition, we get

[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]

[tex]-4(-a+2)=4a+(-8)[/tex]

[tex]-4(-a+2)=4a-8[/tex]

Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].

Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml

Answers

Answer:

volume left in A is 80ml

Step-by-step explanation:

let original volume in both be x ml

after pouring from A to B

vol in A = x - 120

vol in B = x + 120

now it is given that

vol in B = 4 times vol in A

implies

[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]

hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml

Help plz..And No links!! I repeat No links!!

Answers

Answer:

the first

Step-by-step explanation:

i did the test

. Parallelogram ABCD,

Answers

Diagram not attached, please add the question.

Someone help me with this one

Answers

Answer:

p' (4,-2)

Step-by-step explanation:

P is at ( -1,5)

We are moving it 5 units to the right so add 5 to the x

We are moving it 7 units down so subtract 7 from the y

p'( -1+5, 5-7)

p' (4,-2)

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
What is the shape of the cross-section?
square
rectangle that is not a square
triangle
parallelogram that is not a rectangle

Answers

Answer:

B

Step-by-step explanation:

a rectangle that is not a square

The plane will be rectangular which is not a square. Then the correct option is B.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.

Let a be the side length of the cube.

The length of the rectangular plane will be

L² = a² + a²

L = a√2

Then the dimension of the plane is 'a' and 'a√2' units.

The plane will be rectangular which is not a square. Then the correct option is B.

More about the rectangle link is given below.

https://brainly.com/question/10046743

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State if the two triangles are congruent.

Answers

Answer:

The triangles are congruent  by HL

Step-by-step explanation:

The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent

We know one leg is equal to the other by the red line.  The hypotenuse is the same since it is the same line.

The triangles are congruent  by HL

Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7. What is the scale factor of the dilation of triangle DEF?

Answers

Answer:  3/13

===============================================

Work Shown:

k = scale factor

k = (OF ')/(OF)

k = (OF ')/(OF ' + F ' F)

k = (3)/(3 + 10)

k = 3/13

The scale factor of the dilation of triangle DEF is 3/10.

What is Dilation?

The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.

We have a triangle DEF is dilated to smaller triangle D'E'F' .

As, the length of OF' =  3 and F'F = 7.

So, the scale factor of dilation is

OF' / OF = 3 / 10.

Thus, the scale factor is 3/10.

Learn more about Dilation here:

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Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?

Answers

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

18 t shirts

106 - 34 = 72
72 / 4 = 18

PLEASE PLEASE HELP ME! thank you so so much

explaining your answer = brainliest/five stars

The radius of a circle is 4 kilometers. What is the area of a sector bounded by a 135° arc?

give the exact answer in simplest form

Answers

Answer:

Step-by-step explanation:

(135/360)×π×4²

(135/360)×π×16

=6π

please help! ten points! thank you

Answers

I’m confused but probably 3 or 4

Pls I need help with this

Answers

Answer:

third side = 6

Step-by-step explanation:

third side is hypotenuse as it is opposite to 90 degree

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotense)^2

5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2

25 + 11 = hypotenuse^2

36 = hypotenuse^2

[tex]\sqrt{36}[/tex] = hypotenuse

6 = hypotenuse

Analyze the diagram below and complete the instructions that follow.

Find the exact value of tan(M).

Answers

Answer:  5/12  (choice C)

Explanation:

Recall that tangent = opposite/adjacent.

For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.

Answer:

C or 5/12

Step-by-step explanation:

The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie

Answers

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

which of the following is equivalent to squareroot 8?

Answers

Answer:

2√2

Step-by-step explanation:

Gabe went to the florida mall. He bought k model planes and spent 24 on books.Then he another 25 at another store

Answers

Answer:

[tex]Amount = 49 + 14.99k[/tex]

Step-by-step explanation:

Given

[tex]Books = 24[/tex]

[tex]Another\ Store = 25[/tex]

[tex]Model = k[/tex]

Cost of [tex]Model = 14.99[/tex] --- Missing from the question

Required

Represent the amount spent

The amount is calculated as:

[tex]Amount = Books + Another\ Store + Model * Cost[/tex]

[tex]Amount = 25 + 24 + k * 14.99[/tex]

[tex]Amount = 49 + 14.99k[/tex]

If x=10 what is the value of 4(x-2)


A.48

B.32

C.38

D.8

Answers

Answer:

[tex]b. \: \: 32[/tex]

Step-by-step explanation:

[tex]4(x - 2)[/tex]

[tex]4(10 - 2)[/tex]

[tex]4(8)[/tex]

[tex]32[/tex]

Hope it is helpful...

Https://imgur.com/a/n3PRcMY

Answers

1: Those angles are equal. That means 3x + 10 = 5x - 10.
20 = 2x.
That means x = 10

2. Easy now that u have x. Angle 1 is 3x + 10, which means its 3(10) + 10 which is 40


[tex]50.705 \div 2.646[/tex]

Answers

Answer:

19.1628873772

Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

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