Sally works at a store.
x represents Sally's monthly paycheck, and y represents her
monthly savings.
Sally will save at least $20 more than half of her paycheck each
month.
She can save at most $80 more than two-thirds of her paycheck
each month.
Her paycheck each month is at least $1,200, but no more than
$1,850.
Which system of inequalities represents these constraints?

Answers

Answer 1

Answer: Y [tex]\geq[/tex] [tex]\frac{1}{2}[/tex] x+ 20

              Y [tex]\leq[/tex] [tex]\frac{2}{3}[/tex] x+ 80

              X [tex]\geq[/tex] 1,200

             X  [tex]\leq[/tex] 1,850

Step-by-step explanation:

Answer 2

The system of inequalities which represents these constraints is y ≥ 20 + (1/2)x, y ≤ 80 + (2/3)x and 1200 ≤ x ≤ 1850

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents Sally's monthly paycheck, and y represents her monthly savings.

Hence:

y ≥ 20 + (1/2)x

also:

y ≤ 80 + (2/3)x

and:

1200 ≤ x ≤ 1850

The system of inequalities which represents these constraints is y ≥ 20 + (1/2)x, y ≤ 80 + (2/3)x and 1200 ≤ x ≤ 1850

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Related Questions

An insurance company offers a term life insurance policy with a renewable premium. The first year premium is $900. If the premiums increase 5.5% each year, how much will her premium be in 7 years? A $1,286 B $1,241 C $1,308 D $1,416​

Answers

Answer:

The answer is B

Step-by-step explanation:

If first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

An insurance company offers a term life insurance policy with a renewable premium.

The first year premium is $900

The premiums increase 5.5% each year,

[tex]A=Pe^r^t[/tex]

5.5%=5.5/100 =0.055

[tex]A = 900(e)^0^.^0^5^5^\times^7[/tex]

[tex]A=900e^0^.^3^8^5[/tex]

A=900×1.46

A=$1308

Hence, if first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

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A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48

Answers

Answer:

b

Step-by-step explanation:

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

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two football players start running towards each other each other from the opposite ends of a 100- yard football field. The faster player runs at a rate of 30 feet per second. The slower player runs 20 feet per second. After how many seconds will they collide

Answers

Answer:

600

Step-by-step explanation:

Multiply both numbers by 12.

240

360

7 1/4x+x-2 11/12x+1 2/3x=5 3/5
What is x?

Answers

Answer:

x = 0.8

Step-by-step explanation:

7 1/4x + x - 2 11/12x + 1 2/3x = 5 3/5

Combine like terms;

- convert the fractions to improper fractions

29/4x + x - 35/12x + 5/3x = 28/5

-Convert to a like denominator

87/12x + x - 35/12x + 20/12x = 28/5

-simplify

84/12x = 28/5

7x=28/5

Divide both sides by 7

x = 4/5

x = 0.8

Here is a balanced hanger diagram:
A circle has a mass of 3 grams and a square has a mass of 2 grams.
Which is the mass of a triangle?
a. 9/5 grams
b. 715 grams
c. 3 grams
d. 11 grams

Answers

Answer:

D

Step-by-step explanation:

11 grams because the the most logical.

 Option C. 3 grams is the answer.

    Mass given,

One circle = 3 gramsOne square = 2 grams

For the balanced hanger diagram,

Mass on left arm = Mass on right arm

Mass on left arm = 2.(one triangle) + 6.(one square) + 3.(one circle)

Mass on right arm = 5.(one triangle) + 3.(one square) + 2.(one circle)

Equation for the balanced hanger,

2.(one triangle) + 6.(one square) + 3.(one circle) = 5.(one triangle) + 3.(one square) + 2.(one circle)

Now solve this equation,

(6 - 3).(one square) + (3 - 2).(one circle) = (5 - 2).(one triangle)

3.(one square) + 1.(one circle) = 3.(one triangle)

3.(2) + 1.(3) = 3.(one triangle)

6 + 3 = 3.(one triangle)

One triangle = 3 grams

    Therefore, Option (C) will be the correct option.

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Create a table for the equation with a y-intercept of 15 and a slope of -5. What is the output when x is -10?



x y
-2
-1
0
1
2
-6 ?​

Answers

Answer:

The output is 65 when x is -10.

Step-by-step explanation:

y=mx+b is the easiest form to understand visually what the slope and intercept is.

m is the slope and b is the y-intercept. Replace both of these variables respectively with their appropriate values. In this case, the slope (m) is -5 and y-intercept is 15.

Equation looks like this: y=-5x+15

What is the output when x is -10? Replace x with 10, and your output is the y value.

[tex]y=-5(-10)+15\\y=50+15\\y=65[/tex]

Find the value of c -(x-5)(x+c)=x^2+2x-35

Answers

Answer:

Erm

Step-by-step explanation:

I think not

Answer:

c= ( 2 x + 7 ) ( x − 5 )  / 6 − x

Step-by-step explanation:

25 points for correct answer and giving brainliest

Answers

Answer:

y=20x + 4

x = 6 (max amount)

20(6) = 120

120 + 4 = 124

Max of 124.

y=20(0) + 4

y = 4

Min of 4.

Range

4<y<124 ; {4, ... , 124}

G

BRAINLIST SOFAST IF U HELP ME

Answers

Answer:

?

Step-by-step explanation:

?

what the last person said

The ratio of the number of boys to the number of girls in the cast of a school play is 1:5 which statement must describe the cast of the play

Answers

Answer:

We have 3 boys and 2 girls. This gives a total count of 5. So we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25. So we have 5 lots of the ratio

The book store is having a sale. Every book is $5 off, regardless of the original price.

The sale price for every book is $5 less than the original price.

Let x = original price

Let y = sale price

Which equation represents this situation?

A. y = × + 5

B. y = × - 5

C. y = 5x

D. y = × ÷ 5

Answers

Answer:

y=x-5

Step-by-step explanation:

sale price (y) is equal to the original (x) minus five dollars

Answer:

y = x - 5

Step-by-step explanation:

I took the test on A P E X

Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded continuously

Answers

Answer:

6090

Step-by-step explanation:

A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST

Answers

Answer:

13 so yeah it correect

what is 1/5 x 5 1/3? help please

Answers

Answer:

1  1/15

Step-by-step explanation:

(I think)

And I am not a very good explainer

(sorry)

harrison spent 1 and 1/2 hours hiking 3/4 hours swimming and 1 1/3 hours fishing during his last camping trip. in total, how many hours did he spend doing there?​

Answers

Answer:

5 11/12 hours

Step-by-step explanation:

Make your common denominators 12. then when you add up you get 5 11/12.

Hope this helps and good luck :)

Find -8 1/4 divided (-2 5/12) write your answer as a mixed number in simplest form

Answers

Answer:

I believe the answer is 3 12/29

Graph the equation below.

y= 5/4 x-1

Answers

Answer:

In the photo (I hope this helps)

Step-by-step explanation:

100 points! help please I need this

Answers

Answer:

5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)

A package of 5 pairs of insulated gloves costs ​$32.45. What is the unit price of the pairs of gloves ​?

Answers

Answer:

$6.49?

Step-by-step explanation:

divide $32.45 by 5

John made $172 last weekend. He worked 11 hours. How much money does John make each hour? *

Answers

Answer:

15.63

Step-by-step explanation:

172/11

15.636363...

25 = 4x - 7, then x=

Answers

Answer:

x=8

Step-by-step explanation:

25=4x-7

+7        +7

32=4x

32/4  4x/4

8=x

PLEASE HELP ME i’ll mark brainliest ! i added some extra points too

Answers

We want to find all the solutions to the equation [tex]f(x)=0[/tex]. Wich means that we want to find all values of [tex]x[/tex] such that [tex]y=0[/tex] (recall f(x)=y).

By looking at the graph, when does [tex]y=0[/tex]? That's right, exactly over the X axis!

The solutions to the equation are the X coordinates where the graph crosses the X axis.

They are -5,-2 and 4.

Given -1/2x>6 choose the solution set

Answers

-1/2x > 6

All you have to do is divide 6 by -1/2, which is -3. The answer is x < -3, the sign got flipped because you divide by a negative number.

20356000000000000 scientific notation

Answers

Answer:

2.0356 × 1016

Step-by-step explanation:

Does this scatter plot show a positive trend, a negative trend, or no trend?​

Answers

it shows a negative trend

Answer:

no trend

a positive trend would start in the bottom left and go toward the top right

a negative trend would start at the top left and go town the bottom right

this is an example of no trend

Step-by-step explanation:

a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.

How many solutions are there to: 8x + 7 = 7 + 8x.​

Answers

Answer: X make the equation true

Step-by-step explanation:

Which of the following terms describes the 3 in the expression 3x+7

Answers

Answer:

3

Step-by-step explanation:

PLEASE HELP MULTIPLE CHOICE i’ll mark brainliest i also added extra points !!

Answers

the correct answer is b:)

Please help me solve ASAP

Answers

the answer is a
hope this helped

Answer:

Step-by-step explanation:

first just look at the graph

its very obvious its a linear graph because it is going up in a straight line at a steady pace

so we can then just ignore the answers that say its not a linear function

then since its straight and not curved (curved graphs or parabolas are found when x has an exponent) its obvious it cant be one of the equations with x^2

so we are left with one the final answer

its equation is y = x + 2 and it is a linear function

hope this helps <3

Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90, how many bags must she sell to earn at least $200.

Answers

Answer:

Step-by-step explanation:

.90-.35=.55

200/.55=364 bags i think

Elvira sells a total of 364 bags to earn a profit of $200 and this can be determined by using the unitary methods.

Given :

Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90.Total profit earn = $200

The following steps can be used to determine the total number of bags she sells to earn the profit of $200:

Step 1 - First find the total profit she earns to sell one bag.

= 0.90 - 0.35

= $0.55

Step 2 - Now, using the unitary method find the total number of bags she sells to earn a profit of $200 If she earns a profit of $0.55 to sell one bag.

[tex]=\dfrac{200}{0.55}[/tex]

= 363.63 [tex]\approx[/tex] 364 bags

She sells a total of 364 bags to earn a profit of $200.

For more information, refer to the link given below:

https://brainly.com/question/23423168

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