Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13

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You earn $6 per hour babysitting and $10 per hour working at a gas station. You want to earn at least $90 to cover your weekly

expenses and have at most 15 hours available to work this week. The gas station requires you to work at least six hours per week.

Write a system of linear inequalities to model this situation.

OF B + G > 90

6B + 10G< 15

G> 6

O G 6B + 10G > 90

B + G > 15

G<6

OH 6B + 10G > 90

B + G < 15

G 26

Type here to search

o

ENG 9:20 AM

921

Answers

Answer 1

Answer:

[tex]B + G \leq 15[/tex]

[tex]6B + 10G \geq 90[/tex]

Step-by-step explanation:

Given

Represent Babysitting with B

Represent Gas Station with G

Total workhours = At most 15

Earnings = At least $90

First, we need to represent the work hours as inequality

B + G  = At most 15

At most 15 means less than or equal to 15.

So, we have:

[tex]B + G \leq 15[/tex]

Next, we represent the earnings as inequality.

6 hours of babysitting is: 6B

10 hours at gas station is: 10G

So:

6B + 10G is at least 90

At least 90 means greater than or equal to 90

So, we have:

[tex]6B + 10G \geq 90[/tex]


Related Questions

Which of the following statement(s) is/are true about rectangles? i. The diagonals are congruent. ii. All sides are congruent. iii. Both pairs of opposite sides are parallel. iv. The diagonals are perpendicular bisectors of each other.

Answers

Answer:

i. The diagonals are congruent.

iii. Both pairs of opposite sides are parallel.

iv. The diagonals are perpendicular bisectors of each other.

Step-by-step explanation:

Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)

The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.

Note: A rectangle, therefore, has all the properties of a parallelogram:

Parallel opposite sides

Same length for opposite sides

The intersection of diagonals in the middle

A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.

A rectangle has a center of symmetry, which is the point of intersection of its diagonals.

Answer:

The diagonals are congruent.

Both pairs of opposite sides are parallel.

The diagonals are perpendicular bisectors of each other.

Michael bought 4 types of fruit to make a fruit salad. He paid $3.00 per pound of apples, $2.00 per pound for bananas, $2.50 per pound for grapes, and $3.50 per pound for blackberries.
He bought the same number of pounds of each fruit. Let the number of pounds be represented by the variable x.
Michael figured out the total amount of money that he spent on fruit can be shown using the expression 3x+2x+2.50x+3.50x
Which expression shows how Michael’s expression can be written in an equivalent single term?
A. (2+2.50)(3+3.50)x
B. (2+3+2.50+3.50)x
C. (2) (3) (2.50) (3.50)x
D. (2) (3)x+(2.50) (3.50)x

Answers

Answer:

C

Step-by-step explanation:

you can add like terms so C is the correct answer

Answer:

hi how are you doing today Jasmine

Brainliest Answer
(has to be right for brainliest)

Answers

Answer:

it is 0.7x0.4=0.28

Step-by-step explanation:

Answer:

3627514

Step-by-step explanation:

How to reduce 0.35 to the lowest term

Answers

0.35 is equivalent to 7/20

I WILL GIVE BRAINLIEST
Rewrite 12x + 3y = 6 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =

Answers

Answer:

12x + 3y = 6 in slope-intercept form.y = -4x+2m = -4b =(0,2)

A friend gives you two baseball cards for your birthday. Afterward you begin collecting them. You buy the same number of cards once each week. The equation y=4x +2 describes the number of cards ,y, you have after x weeks.

Answers

Answer: x and y have the same absolute value. Also, x is a positive number, and y is a negative number.

Step-by-step explanation:

Answer:

The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding  2 cards each week.

Step-by-step explanation:

Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4

Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:

m is the slope

b is the y-intercept.

We have that:

Slope, m=2.

A slope of 2 indicates that you buy 2 cards per week.

The y-intercept of the line, b=4.

This is the starting value. In this case, it represents the number of cards you were given by your friend.

The slope is 2, while the y-intercept is 4. This equation represents starting with  4 cards and adding  2 cards each week.

Please help due in 5 min

Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?

A. 24%
B. 30%
C. 44%
D. 60%

PLEASE show work

Answers

Answer:

B. 30 Percent

15+9=24

24/80=30 Percent

Step-by-step explanation:

Someone please help I’ve been spamming on this and no one has helped yet so please

Answers

Answer:

The value of x would 12.2.

Step-by-step explanation:

You have to use the pythagorean theorem to solve this.

a = 5.85 (11.7/2)

b = what we are trying to find

c = 13.5

[tex]\sqrt{13.5^{2} - 5.85^{2} }[/tex] = 12.1666 which rounds to 12.2

I hope this helps, I apologize if it isn't right.

Simplify each expression, Help plz

Answers

Answer:

I believe that the answer is the second one.

Step-by-step explanation:

a^4/b^5 then add two to each exponent
a^6/b^7

The negative exponents become positive when you switch them to the top or bottom.

On Monday, Erin ran a mile in 7.5 minutes. On Tuesday, she ran a mile in 6.9 minutes. What was the average time for a mile over those two days, expressed as a fraction?

Answers

Answer: 14.4/2

Step-by-step explanation: to find the average time, we add both numbers then divide by how many numbers we have, which is two. So 7.5 + 6.9 = 14.4. we then divide by 2, so 14.4/2.

7.15 divided by 65 what is the answer? I need help to solve this problem

Answers

Answer:

7.15/65 = 0.11

The answer is 0.11 hope this helps

Determine if this data is an example
of a function.
(-2,5); (0, 3); (-2, 8); (1, 14)
Relation
Function

Answers

Answer:

Step-by-step explanation:

it is not a function because -2 has two y values

ucjvlvjcyxgxjglhlchzfzhckcj​

Answers

Answer:

Huhuhuhhuh?!!!

Step-by-step explanation:

LOL.. What's that?

Answer: approximately oihfviauegfvyabgfiubaqvuoa

Step-by-step explanation:

first you gotta ohgnvailuerfhivlugehiuvlh the fepoghvapirugv93hrv9igp

then once thats done you edjfahuilurevh the p8eufhavipuhgfv8i7uh to the rfugvhligauerhgiuvlwhreaoiuvh

finally, you ifujevhoaiug the iujhfliauerhgifu with the oifuhewiuasrhfi and uirjewg it to the iudfhvailkvkaebrfvilhjb, and you get your answer

A charity sells tickets for a fundraising dinner. Each adult's ticket cost $10 and each child's ticket cost $5. A total of $1050 was raised by selling 130 tickets. How many adult and child tickets were sold? Let x represent the number of adult tickets and y represent the number of child tickets.
Number of Adult Tickets Sold =
Number of Child Tickets Sold =

Answers

Answer:43

Step-by-step explanation:

whats is the only solution of 2x2+8x2-16?​

Answers

Answer:

4

Step-by-step explanation:

You are given the explicit formula below. Identify if will produce an arithmetic or geometric sequence. Also identify the common difference or common ratio

f(n) = 25(4)^n-1

1. Geometric, common ratio of 1/4

2. Geometric, common ratio of 4

3. Arithmetic, common ratio of 25

4. Arithmetic, common ratio of 4

Answers

Answer:

2. Geometric, common ratio of 4

Step-by-step explanation:

Given is the exponential function which  is a geometric sequence

It has common ratio of 4

Correct answer option:

2. Geometric, common ratio of 4

Among all pairs of numbers whose sum is 12 , find a pair whose product is as large as possible. What is the maximum product? Show steps.

Answers

Answer:

We can only take positive number , Because negative is always smaller than positive.

We can take ,

6 + 6 = 12 .

6 x 6 = 36.

Where both are largest numbers possible.

Thus, the answer is 36.

The required pair of values which gives a sum of 12 and the largest product is 12

For a pair of numbers that sums of to 12 to ba as large as possible, then only positive integers would be considers.

11 and 1 = (11 × 1) = 11

10 and 2 = (10 × 2) 20

9 and 3 = (9 × 3) = 27

8 and 4 = (8 × 4) = 32

7 and 5 = (7 × 5) = 35

6 and 6 = (6 × 6) = 36

From the list, the highest product obtained is a value of 36. Hence, the number are 6 and 6.

Learn more : https://brainly.com/question/10905928

please help and I will mark big brain ​

Answers

Answer: 6

Step-by-step explanation:

(41--1)/ (8-1)  = 42/7 = 6

Answer:

6

Step-by-step explanation:

I learned this before

3x = 8
3x + y = 15

???

Answers

3x=8

Solve for x by dividing by 3 on both sides

x=8/3

Now plug 8/3 in for x in second equation

3(8/3)+y=15

This gives you

8+y=15

Subtract by 8 on both sides to find y

y=8

Now write it in ordered pair form (x,y)

So your answer is (8/3,8)

There are 36 doughnuts in 3 boxes.
How many doughnuts are in 7 boxes?

Answers

Answer:

x=84

Step-by-step explanation:

[tex]\frac{36}{3}=\frac{x}{7}[/tex]

(cross multiply)

252=3x

(divide both sides by 3)

x=84

Please help me find the line of the line showed

Answers

Answer:

[tex]m=\frac{1}{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, -4)

Point (1, -3)

Step 2: Find slope m

Substitute:                   [tex]m=\frac{-3+4}{1+5}[/tex]Add:                             [tex]m=\frac{1}{6}[/tex]

Can you do this for me?

Answers

Answer:

10, 20, 30, 40

2.5, 5, 7.5, 10

120.8, 60.4, 30.2, 15.1

3624, 1812, 906, 453

hope this helps!

answer in percent 20/80 = x/100

Answers

25
Hope this helps H

true or false , the best way to represent all the solutions to a linear inequality is to graph a single line through the x intercept and y intercept where neither side of the line is shaded

Answers

The answer is false

The data from the U.S. Census Bureau for 1980-2010 shows that the median weekly earnings of full-time


male employees who have at least a bachelor's degree can be modeled by the function


M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6 where x Is the number of years after 1980 and M(x) Is the


median weekly earnings in dollars. The median weekly earnings of all full-time employees who have at


least a Bachelor's degree can be modeled by the function T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3 where


x Is the number of years after 1980 and T(x) Is the median weekly earnings in dollars.


Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in


2006. Round to the nearest dollar.


The median weekly earnings of a female employee in 2006 is about

Answers

Answer:

890.908

Step-by-step explanation:

Given that :

Median weekly salary for males :

M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6

x = number of years after 1980

Median weekly salary for all employees :

T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3

Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006

Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)

F(x) = T(x) - M(x)

F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)

F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)

F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7

x = 2006 - 1980 = 26

F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7

0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908

=

Apply the distributive property to the expression to write an equivalent expression.


5x + 35


Complete the statements.


Find the GCF of

.

Now, factor out the GCF by dividing each term in the expression by

.

5x divided by the GCF is

, and 35 divided by the GCF is

.


The equivalent expression is

.




SOMEONE PLS HELP I'M. DYING PLS

Answers

5 • 30 = 150 5•5= 25 so 175x 175x / 5x = 35

Answer:

I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is :   D     A    B    B   C   your welcome                                                                  

need help on this 1 its really hard but i stilll can get it please help

Answers

Answer:

A.

92%

Step-by-step explanation:

What is the perimeter of the figure?

A. 22.0 yd2
B. 21.1 yd
C. 22.0 yd
D. 21.1 yd2

Answers

Answer:

B. 21.1 yd

Step-by-step explanation:

The perimeter of the figure is the sum of all its three sides.

Take note that the dotted line is not a side length of the figure.

The side lengths are 9 yd, 5 yd, and 7.1 yd.

Therefore, the perimeter of the figure = 9 + 5 + 7.1

Perimeter = 21.1 yd.

Also, take note of the unit of the perimeter. Unit of the perimeter would not be squared. Only area has a unit that is squarred.

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Answers

Answer:

84%

Step-by-step explanation:

The Empirical rule formula states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 8.06

Standard deviation = 1.52

Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Using the first rule if Empirical formula

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

μ + σ

= 8.06 + 1.52 = 9.58

This satisfies one side of the distribution, hence:

100 - 68%

= 32%

P(x >9.58) = 32%/2 = 16%

Hence,the percentage of American women have shoe sizes that are less than 9.58 is

P(x < 9.58) = 100 - 16%

= 84 %

3(x+5) +2(2x+3)=0 solveeeeeeeeeeeedddddddddedddddd

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 3 (x+5)+2 (2x+3)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+15+4x+6=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4x+15+6=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7x+21=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7x=-21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-21}{7}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=-3 [/tex]

[tex]\maltese{\underline{\boxed{\bf {x=-3}}}}[/tex]

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