Translate each phrase into an algebraic inequality:
Fiona works part time for a legal firm. She can work a maximum of 30 hours
per week.

Answers

Answer 1

Let hours = x

She can work a maximum of 30 hours so x can be any number from 30 or below.

The inequality would be: X <= 30

Answer 2

Answer:

Let the maximum time be x

She can work 30 hrs or below ( maximum of 30 hrs)

Therefore, the equation is

[tex] \huge \boxed{x \leqslant 30 \: hours}[/tex]


Related Questions

A cylindrical water tank has a diameter of 5.3 meters and a height of 9 meters. What is the maximum volume that the water tank can hold? Use ϖ to approximate the volume to the nearest hundredth.

Answers

Answer:

198.56[tex]m^{3[/tex]

Step-by-step explanation:

To find the volume of a cylinder, you need to find the area of the cross-section (one of the circles on the side) and multiply it by the length.

Area of the circle = π[tex]r^{2}[/tex] = π x (5.3/2) x (5.3/2) = π x 2.65 x 2.65 = 7.0225π

Volume of the cylinder = 7.0225π x 9 = 63.2025π = 198.56[tex]m^{3[/tex]

A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce

Answers

Answer:

Blockof silver's wieghing = 8 ounces

total rate = $104

therefore, one ounce=$104/8= $13

Write the point-slope form of the equation of the line that passes through the points (-3,5) and (-1,4). Include your work
in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer:

y - 4 = -1/2 (x+1)

Step-by-step explanation:

The point slope form of the equation is expressed as;

y-y0 = m(x-x0)

Get the slope

m = 4-5/-1-(-3)

m = -1/2

Substitute any of the point and m = -1/2 into the expression

y - 4 = -1/2 (x+1)

2(y-4) = -(x+1)

2y-8 = -x-1

2y+x = -1+8

2y+x = 7

Hence the required equation of the line is 2y+x = 7

PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A standard die is rolled twice find each probability.

Answers

Answer:

I see you are rolling a standard fair six-sided die twice. There are 6 equally likely outcomes on each roll of the die. Die Roll #1: P(Perfect square) =1/3 The winning outcomes are 1 and 4, this makes the fraction 2/6, which reduces to 1/3.

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

The probabilities for the following statements are:

a) 1/4

b) 1/18

c) 1/3

d) 1/12

e) 1/6

f) 1/36

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The sample space for rolling a die twice.

= {1, 2, 3, 4, 5, 6 } x {1, 2, 3, 4, 5, 6}

= {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

The number of possible outcomes.

= 36.

Now,

The number of outcomes where both are odd.

= { (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5) }

The probability that both are odd.

= 9/36

= 1/4

The number of outcomes where both are a perfect square.

= {1, 1), (4, 4) }

The probability that both are perfect squares.

= 2/36

= 1/18

The number of outcomes where the first is even and the second is less than 5.

= { (2, 1), (2, 2), (2, 3), (2, 4), (4, 1), (4, 2), (4, 3), (4, 4), (6, 1), (6, 2), (6, 3), (6, 4) }

The probability that where first is even and second, is less than 5.

= 12/36

= 1/3

The number of outcomes where the first is prime and the second is 6.

= { (2, 6), (3, 6), (5, 6) }

The probability where the first is prime and the second is 6.

= 3/36

= 1/12

The number of outcomes where both are the same.

= { (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) }

The probability that both are the same.

= 6/36

= 1/6

The number of outcomes of at least 4 both times.

= {(4, 4)}

The probability that at least 4 both times.

= 1/36

Thus,

The probabilities for each statement are given above.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

ANSWER NOW AND U GET !5 and ill answer one of urs

Answers

Dianne saves $20 by purchasing the jeans on sale

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

Answers

x+20+16=90

x=54

54+20+16=90

There’s a right angle and it’s marked as 90 degrees.

Please Answer this question ASAP!

Answers

Answer:

g = 28,000 - 700t

Step-by-step explanation:

What’s the solution for 2x =8

Answers

Answer:

4

Step-by-step explanation:

2x = 8

x = 4

Answer: x=4

Step-by-step explanation:

2x = 8

x = 8/2

x = 4

Check: 2(4)=8

What is the price per lb of brand X coffee
if 8 lb were mixed with 12 lb of brand Y
coffee which costs $9/Ib to make 20 lb of
Mark's special coffee blend which costs
$13/1b?

Answers

Answer: x = 8/4 = 2

12(2) + 4(6) = 24 + 24 = 48 = 6*8

Step-by-step explanation:

$12X + $6(4) = (X+4)*$8

12X + 24 = 8(x+4)

12x + 24 = 8x + 32

12x + 24 - 8x - 32 = 0

4x - 8 = 0

4x = 8

x = 8/4 = 2

Does anybody know what to do when there on punishment for trying to get some water late at night.


I cant wtach tv

Be on my computer/phone/tablet

i cant do anything fun or go to the store

i cant do alot of things

Answers

Answer:

go to bed

Step-by-step explanation:

Answer:

Dam ur parents r strict my dude...

Step-by-step explanation:

draw, make something, build things, walk... i mean there is a lot of things u can do, but it rlly depends on the person...

-10 + 7/4p = -38 (I don't understand this question)

Answers

Answer:

-16

Step-by-step explanation:

-10 + 7/4p = -38  [multiply the entire equation by 4 to get rid of fraction]

-40 + 7p = -152 [add 40 to each side of equation]

7p = -112

p = -112/7 = -16

omg help me asap my lesson is timed!

Answers

Answer:

-27w^9

Step-by-step explanation:

Multiply

-3w^8 × 9w

Step 1:

-3 × 9

= -27

Step 2:

w^8 × w¹

Using the law of indices

w^8 × w¹

= w^(8+1)

= w^9

-3w^8 × 9w

= -27w^9

Is this table a function?

Yes, because every y is matched with only one x
Yes, because every x is matched with only one y.
No, because the table does not include the point (0, 0)
No, because the table is not proportional.

Answers

Answer:

Yes because every x is matched with only one y

Step-by-step explanation:

A function is an equation where each input has a specific output

Find the coordinates of the image of point (5,2) after the transformation r (180, 0)

Answers

Answer:

Given AABC with coordinates A(2, 3), B(0, 6) and C(2, 6) b) Graph and ... c) Graph and label AA``B``C`` the image of AABC after D1/2. T2,4. R 180. D1/2.

Step-by-step explanation:

Given AABC with coordinates A(2, 3), B(0, 6) and C(2, 6) b) Graph and ... c) Graph and label AA``B``C`` the image of AABC after D1/2. T2,4. R 180. D1/2.

Simplify the expression.
0.2(2b - 15c)

Answers

Step-by-step explanation:

=0.2(2b-15c)

=0.4b-3c

hope it helps.

Solve for x: 2x/5=12/8

Answers

Answer:

x = [tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

First, you have to leave 2x by itself on the left side of the equation:

2x = 60/8

Then divide,

x = 15/4

Simplified fraction: x = [tex]3\frac{3}{4}[/tex]

Answer:

exact form: x=15/4

decimal form; 3.75

miced number: 3  3/4

Step-by-step explanation:

This question has two parts. Use the information to answer Part A and Part B.
Two angles are supplementary. The measure of one angle is 3 times the measure of the other angle.
Part A
Which equation can be used to find x, the measure of the smaller angle in degrees?
A. 3x - x=90
o
B. 3x + x = 90
o
C. 3x - x = 180
D. 3x + x = 180
Part B
What is the measure of each angle? Enter the answers in the boxes.
The smaller angle measures
and the larger angle measures

Answers

Answer:

Part A: D. [tex]3x+x=180[/tex]

Part B: Smaller angle [tex]=45^{\circ}[/tex], larger angle [tex]=135^{\circ}[/tex]

Explanation:

The term supplementary is used when the sum of two angles add to [tex]180^{\circ}[/tex].

Part A:

From the information given that the "angles are supplementary" and the "measure of one angle is 3 times the measure of the other", the equation to find for x can be written as:

[tex]3x+x=180[/tex]

Part B:

To find the measure of each angle, we can first find the measure of the smaller angle [tex]x[/tex]:

[tex]3x+x=180[/tex]

[tex]4x=180[/tex]

[tex]x=45^{\circ}[/tex]

[tex]\therefore[/tex] The smaller angle is [tex]45^{\circ}[/tex]

Since the measure of the larger angle is [tex]3[/tex] times the measure of the smaller angle:

Larger angle [tex]=3x[/tex]

[tex]=3(45)[/tex]

[tex]=135^{\circ}[/tex]

[tex]\therefore[/tex] The measure of the larger angle is [tex]135^{\circ}[/tex]

Hope this helps :)

Solve the system of linear equations by using the substitution method. Descibe the process you used and the final answer. {5x+y=152x+y=12

Answers

Answer:

x=1 y=10

Step-by-step explanation:

5x+y=15

2x+y=12

y=12-2x

5x+12-2x=15

3x=3

x=1  

5+y=15

y=10

5
Kate started with a piece of bubblegum that was in wide. She later blew a bubble that was 2- in wide.
7
8
How much wider was Kate's bubble than the original piece of bubblegum?
inches

Answers

Answer:

1

Step-by-step explanation:

you didnt put anything thier so im jsut guessing

We have to fill in all the boxes in order for me to submit. PLEASE HELP!!

Answers

Answer:

2 and 3 maybe?

Step-by-step explanation:

What number is b?
b +4= 10
A. 5
B. 6
c. 7
D. 10
E.
14.

Answers

Answer:

B

Step-by-step explanation:

B is number 6
10 - 4 = 6
6 + 4 = 10

PLEASE HELP ME THIS IS MY FINAL !!!!
Two taxi services charge different rates. Taxi A charges $0.40 per mile
traveled plus an initial charge of $2.00. Taxi B charges $0.50 per mile
traveled. The situation is modeled by this system, where xis the number of
miles traveled and y is the charge for that distance, in cents:
y= 40x+ 200
y= 50x
How many miles must each taxi travel for the charges to be equal, and what
is the charge for that distance?

Answers

Answer:

it would take 20 miles and cost 10 dollars.

Step-by-step explanation: Like up the equations so that 50x=40x+200. When you solve for x (number of miles) you find that x=20. Use 20 in either equation (0.5x or 0.4x+2) to get 10 (total cost).

Hlppppppp ehehhehehehehehehhehe

Answers

Answer:

2w +4 = 24

w=10

Step-by-step explanation:

The bold is the number you put in the box, hope that help.

How fast is 5,280 feet= 1 mile
in feet per second

Answers

Answer:

10.560

Step-by-step explanation:

you can just use the calculator!

Answer:

62.5 i think... sorry if im wrong

Step-by-step explanation:

i hope this helps :3

What is 3.116372 rounded to the nearest hundred thousandths place?

Answers

Answer: 3.11637

Explanation: The hundred thousandths place is in the fifth place after the decimal. To avoid remembering this, you can simply note that the first place after the decimal is the tenths. You simply keep progressing as you would in whole numbers.

For example 10 becomes 100 when a zero is added. This zero is always added right beside the first zero and indicates the hundreds place.

Furthermore, the general rule for rounding is if the number after the preferred rounding place is 4 or less, the number remains the same. 5 or more means it goes up by one digit.

Answer:

3.11637

Step-by-step explanation

I got it right ayyy :p

solve for x
what is the measure of angle R?
what is the measure of angle T?

Answers

Answer:

90+10x+5+4x+6x+5=360° (sum of angles in a quadrilateral)

20x=360-90-5-5

20x/20=260/20

x=13

Which point is closest to -3 on the number line.

Answers

Answer: w

Step-by-step explanation:

7.

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

leg: 34 m; hypotenuse: 37 m


A. 14.6 m

B. 50.2 m

C. 8.9 m

D. 19.9 m

Answers

Answer:

The answer is 50.2 m

Step-by-step explanation:

Given a=34 and b=37,

c = 50.24938

∠α = 42.58° = 42°34'50" = 0.74317 rad

∠β = 47.42° = 47°25'10" = 0.82763 rad

h = 25.03514

area = 629

perimeter = 121.24938

inradius = 10.37531

circumradius = 25.12469

Divide. Write your answer as a fraction in simplest form.

9 3/4 ÷ 4 1/2

Answers

Answer:

2 1/6

Step-by-step explanation:

9 3/4÷ 4 1/2

9×4+3/4÷ 4 1/2

36+3/4÷ 4 1/2

39/4÷ 4 1/2

39/4÷4×2+1/2

39/4 ÷ 8+1/2

39/4÷9/2

39/4× 2/9

39×2/ 4×9

78/4×9

78/36

13/6

2 1/6

Rewrite f(x) = 2(x − 1)2 + 3 from vertex form to standard form. (2 points)

Answers

Answer:

F(x)= 4x-1 I think so hope it will help you

 f(x) = −2x^2 + 12x − 16

I just took the test and it was right

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