Manuela works as a security guard. She makes $15 per hour. Her employers deduct $125 from her weekly check to cover insurance and takes. If Manuela receives at least $205 in her weekly paycheck, what is the feast number of hours she works in a week

Answers

Answer 1

Answer:

At least 22 hours in a week.

Step-by-step explanation:

Given: Manuela make $15 per hour.

           Her employers deduct $125 from her weekly check.

           Manuela receives at least $205 in her weekly paycheck.

Lets assume, Manuela working hour in a week be "x".

We know, Total amount on week paycheck= [tex]Hourly\ pay\times number\ of\ hours- Deduction[/tex]

Now, forming an inequality to determine weekly pay of Manuela.

⇒ [tex]15\times x- 125\geq 205[/tex]

⇒[tex]15x-125\geq 205[/tex]

Adding both side by 125

⇒[tex]15x\geq 205+125[/tex]

⇒[tex]15x\geq 330[/tex]

Divinding both side by 15

⇒[tex]x\geq \frac{330}{15}[/tex]

∴[tex]x \geq 22\ hours[/tex]

Hence, Manuela works at least 22 hours per week.


Related Questions

Someone pls help me with this

Answers

your answer would be C for the second one

What is the equation in standard form of the line that passes through the point 10,-3 and has a slope of 1/5

Answers

Answer: [tex]5y - x = -25[/tex]

Step-by-step explanation:

The formula for calculating equation of line when a point and a slope is gives is :

[tex]y - y_{1} = m ( x - x_{1})[/tex]

[tex]x_{1} = 10[/tex]

[tex]y_{1} = -3[/tex]

[tex]m = \frac{1}{5}[/tex]

substituting into the formula , we have

[tex]y - (-3) = \frac{1}{5}(x - 10 )[/tex]

[tex]y + 3 = \frac{1}{5}(x - 10 )[/tex]

multiply through by 5 ,

[tex]5 (y+ 3 ) = x - 10[/tex]

[tex]5y + 15 = x - 10[/tex]

in standard from , we have

[tex]5y - x = -10 - 15[/tex]

[tex]5y - x = -25[/tex]

Simplify the expression X +3+ 5X

Answers

i hope this helps you.

The simplified form of the given expression is 6x+3.

The given expression is x+3+5x.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be simplified as follows

Now, x+3+5x

Add like terms

(x+5x)+3

= 6x+3

Therefore, the simplified form of the given expression is 6x+3.

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Ronald and Tyler met for dinner in downtown Newport. Ronald did flat-rate valet parking for $12. Tyler went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?

Answers

Answer:

[tex]They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12[/tex]

Step-by-step explanation:

[tex]Let\ both\ spend\ x\ hours[/tex]

Payment by Ronald:

[tex]Ronald\ paid\ \$ 12.[/tex]

Payment by Tyler:

[tex]Tyler\ paid\ $4\ up\ front\ and\ $4\ per\ hour\\\\Total\ amount\ paid\ by\ Tyler=4+4\times number\ of\ hours\\\\Total\ amount\ paid\ by\ Tyler=4+4\times x\\\\Total\ amount\ paid\ by\ Tyler==4+4x[/tex]

[tex]Amount\ paid\ by\ both\ of\ them\ are\ equal\\\\4x+4=12\\\\4x=12-4\\\\4x=8\\\\x=2[/tex]

[tex]They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12[/tex]

Kennedy won $3,000 from a radio contest. If she puts this money in a bank
account that earns 2.9% interest
compounded quarterly, how much total will she earn in 10 years?
$3933.28
$4005.09
$4915.59
$2979.81

Answers

Answer:

Step-by-step explanation:

4005.09

The amount that she earned in 10 years is $4,005.09.

Given that,

Kennedy won $3,000 from a radio contest. If she puts this money in a bank  account that earns 2.9% interest compounded quarterly.And, the time period is 10 years.

Based on the above information, the calculation is as follows:

[tex]= \$3,000 \times (1+ 2.9\% \div 4)^{10\times 4}[/tex]

= $4,005.09

Here the rate of interest should be divided by 4 and time period should be multiplied by 4.

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Step 1: Draw in radii OK and NL. Since OK and JK are radii of the same circle,
they are( FILL IN THE BLANK)
This means that OK = 12. Add the length of OK to the
diagram

Answers

radii of the same circle are congruent.

Answer:

Equal

Since OK and JK are radii of the same circle, they are equal. This means that OK = 12.

Step-by-step explanation:

Edge 2021

!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Yes, because AB and CD are parallel and GH is perpendicular to CD, AB is perpendicular to GH. So you are right.

Equation for turning 2.2 into a fraction

Answers

Answer: (2.2 × 10)(1 × 10) = 2210.

Step-by-step explanation:Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So, 2.21 = (2.2 × 10)(1 × 10) = 2210.

Answer

1/5+ 2

Step-by-step explanation:

.2 equals a fith so when you add that to the whole number the answer will be 2  1/5

1/5 +2 = 2 1/5

2 1/5= 2.2

Solve square root of -144?

Answers

Step-by-step explanation:

[tex] \sqrt{ - 144} = \sqrt{144 \times ( - 1)} \\ = \sqrt{144} \times \sqrt{ - 1} \\ = 12 \times i.. (\because i^2 =-1)\\ = 12i \\ \\ \therefore \: \sqrt{ - 144} = 12i[/tex]

Answer:

[tex]=12*i[/tex]

Step-by-step explanation:

Given: [tex]\sqrt{-144}[/tex]

The square root of some negative value can be find by splitting it in the way given below:

             [tex]\sqrt{-144}= \sqrt{144*(-1)}[/tex]

                   [tex]=\sqrt{144} *\sqrt{-1}[/tex]                                                                   as,    

                                                                                                         [tex]\sqrt{144}=12 \\\sqrt{-1}=i[/tex]

               [tex]\sqrt{-144}[/tex]      [tex]=12*i[/tex]

                   

ASAP PLEASE


S = 2πr2 + 2πrh


In the cylinder shown, the radius is 3 inches and the height is 7 inches. Find the surface area of the cylinder. Round your answer to the nearest tenth. A) 89.2 in2 B) 131.9 in2 C) 188.5 in2 D) 197.9 in2



Answers

Answer:

C) 188.5 in2

Step-by-step explanation:

The solution is 188.5 in2. To determine the surface area, plug 3 and 7 into the formula.

S = 2π32 + 2π(3)(7) ≈ 188.5 in

Answer:

131.4

Step-by-step explanation:

Subtract. (6x - 3) - (2x -2) What is the answer?

Answers

4x-1 all u got to do is remove the parentheses and collect the like terms

Answer:

Steps. (6x - 3) - (2x -2)= 6x - 3 - 2x + 2. = (6x - 2x) + (-3 + 2) = 4x + (-1 ) 4x - 1 ---> Answer.

Which statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt?
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Answers

Answer:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Step-by-step explanation:

Just took the test y'all Trust me the answer is A.

The statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,

What is a line graph?

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have a graph represents the customer pays for 106 ounces and 12 ounces of much a rewards' customer pays based on the number of yogurt.

Based on the graph, we can say a rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Thus, the statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,

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WILL MARK BRAINLIEST Create a 2-Way Frequency Table. Remember to label the 2 categories, as well as provide data values for each cell.

Answers

Please find the attachment on the Frequency table with 2 categories. It is 2X2 2 rows and 2 colums.

Step-by-step explanation:

Two criteria - one location(two categories).Two criteria - nature of occupancy (two categories).Table above is 2X2 table which has 2 rows and two columns.2 Frequency table can also be called as a contingency table.It is the construction of of a table with two attributes or characteristics.They appear independently all the categories or attributes.In the below attachment interest lies in ascertaining whether both.the attributes location and nature of occupancy are independent.

suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level ,L ,after D days . In how any days will the water level be 26 feet

Answers

Equation: L= -0.5D+34.

The water level be 26 feet in 16 days.

Step-by-step explanation:

Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).

The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.

⇒m= -0.5.

The line equation is  y = mx+c. Let us rewrite as L= mD+c.

Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.

⇒L= (-0.5)D+c.

To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.

34=  (-0.5)(0)+c.

c=34.

∴L= (-0.5)D+34.

To find the days when the water achieves level as 26 feet:

26 = (-0.5)D+34.

26-34= (-0.5)D.

-8 =  (-0.5)D.

D= [tex]\frac{-8}{-0.5}[/tex].

D= 16.


What is the slope of the line?
help

Answers

Use the red dots as two points in the line.

Slope = change in y over the change in x.

point 1: (-5,4)

Point 2: (5,-2)

Slope = (-2 - 4) / ( 5 - -5)

Slope = -2/10

Slope = -1/5

Answer:

3/-5

Step-by-step explanation:

The formula for the slope of a line is rise over run, rise/run

So from any given two points, you can calculate this.

rise is 3

run is 5, but it would be negative 5 because the slope of the line is negative.

Which symbol makes the following number sentence correct?
4.567 4.576

Answers

Answer:

Step-by-step explanation:

less than as 4.567 is less than 4.576

Final answer:

The correct symbol to use between 4.567 and 4.576 is '<', since 4.567 is less than 4.576.

Explanation:

The question is asking to choose the correct mathematical symbol that makes the given number sentence true. The two numbers are 4.567 and 4.576. In this case,  since 4.576 is greater than 4.567, the correct symbol would be less than ('<'). Thus, the correct number sentence is 4.567 < 4.576.

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I need some help answering this math question

Answers

Answer:

3168 feet / minute

Step-by-step explanation:

3168 feet per minute.
————
To do this, multiply the speed value by 88.
36 x 88 = 3168

How do you round 6275 to the nearest thousand

Answers

look at the number next to the thousands place. it's less than 5 so you round it down to the nearest thousand which is 6000.

You round using the closest digit to the right the hundredth place which is 2 so you round down to 6000

The price of an item yesterday was $140. Today, the price fell to $63. Find the percentage decrease

Answers

Answer:

The price of an item has dropped to $63 today. Thus, The percentage decreased will be 45%.

9(b ⋅ c) = (9 ⋅ b)c is an example of which algebraic property? Group of answer choices

Answers

I don’t know to be honest just look it up on joes hipbone

Answer: Associative Property of Multiplication

It states that a(b*c) is the same as (a*b)*c

Hope this helped!

What is the difintion of function

Answers

a relationship or expression involving one or more variables

Plant B is 6 2/3 inches tall. and C is 4 4/15 inches tall. Complete the sentences and show your reasoning

Plant C is (answer) times as tall as plant B
Plant C is (answer) inches (answer) taller or shorter than plant B

Answers

Answer:

Step-by-step explanation:

Plant B is taller than Plant C.  We need to determine by how much.  To do this, we divide 6 2/3 inches by 4 4/15 inches.  The LCD is 15, and so we have:

6 10/15       100/15

----------- or ------------- = 100/64 = 20/16 = 5/4

4 4/15           64/15

Plant B is 1 and 1/4 times taller than Plant C.  This can be restated as Plant C is four fifths as tall as Plant B.

Plant C is shorter than Plant B, as we saw earlier.  The difference is found through subtraction:  100/15 - 64/15 = 36/15 inches = 12/5 inches shorter, or 2 2/5 inches shorter

Final answer:

Plant C is approximately 12 4/5 times as tall as Plant B. Plant C is approximately 2 2/5 inches shorter than Plant B.

Explanation:

To find out how many times larger Plant C is compared to Plant B, we need to divide the height of Plant C by the height of Plant B. In this case, Plant C is 4 4/15 inches tall and Plant B is 6 2/3 inches tall.

So, the calculation would look like this:

4 4/15 ÷ 6 2/3

To divide fractions, we need to convert the mixed numbers into improper fractions. So, Plant C is 64/15 inches tall and Plant B is 20/3 inches tall.

Now we can divide the fractions:

64/15 ÷ 20/3 = (64/15) x (3/20)

Cancel out common factors:

64/5 ÷ 1/1 = 64/5 = 12 4/5

Plant C is approximately 12 4/5 times as tall as Plant B.

To find out whether Plant C is taller or shorter than Plant B, we need to subtract their heights. Plant C is 4 4/15 inches tall and Plant B is 6 2/3 inches tall.

So, the calculation would look like this:

4 4/15 - 6 2/3

Again, we need to convert the mixed numbers into improper fractions:

Plant C is 64/15 inches tall and Plant B is 20/3 inches tall.

Now we can subtract the fractions:

64/15 - 20/3 = (64/15) - (20/3

To subtract fractions, we need to have the same denominator. So, we need to find a common denominator for 15 and 3, which is 15.

64/15 - 100/15 = -36/15 = -2 6/15 = -2 2/5

Plant C is approximately 2 2/5 inches shorter than Plant B.

Can someone please help me with this 7th grade math homework

Answers

Answer:

2.19

Step-by-step equation:

Over what interval is the function in this graph constant?
10
-10+
O
A. -10 SXS-4
O B. -45xs1
C. 65x10
OD. 15x56

Answers

Answer:

1 ≤ x ≤ 6 (Answer D)

Step-by-step explanation:

Look for the stretch of graph that is horizontal.  The function is constant on that time interval:  from 1 to 6, or 1 ≤ x ≤ 6 (Answer D)

which binomial is a factor of 49x^2+84xy+36y^2

Answers

7x + 6y is a binomial that is a factor of given equation

Solution:

A binomial is a mathematical expression which has only two terms

Given expression is:

[tex]49x^2 + 84xy + 36y^2[/tex]

We have to find the binomial that is a factor to given expression

Let us find the factors of given equation

[tex]49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\[/tex]

[tex]Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\[/tex]

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2[/tex]

Thus we get,

[tex]49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 = (7x+6y)(7x+6y)[/tex]

Thus the binomial which is a factor is 7x + 6y

Consider this function for cell duplication where the cells duplicate every minute.

f(x) = 75(2)x
Determine what each parameter in the function represents.
A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.
B) The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.
C) The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.
D) The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.

Answers

Answer:

A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

Step-by-step explanation:

The function for cell duplication where the cells duplicate every minute, is given by [tex]f(x)=75(2)^x[/tex]

The initial number of cells occurs when x=0:

[tex]f(0)=75(2)^0[/tex]

Note that every non-zero number to the exponent of zero is 1.

[tex]\implies f(0)=75(1)=75[/tex]Therefore the initial number of cells  is 75

The two is the multiplicative rate of change, therefore the 2 indicates that the number of cells doubles every minute.

over three successive Collins build 1/3, 1/5 and 1/4 of the brickwork of his new garage. What fraction must he complete on the fourth and final day​

Answers

Answer:

1 - 1/3 - 1/4 - 1/5

Step-by-step explanation:

Let's take it one step at a time.

Day 1 he completes 1/3 of the garage, so you subtract 1/3 from 1 which means he left 2/3

Day 2 he completed 1/4 more, so you again subtract, this time though 2/3 - 1/4, or in other words 1 - 1/3 - 1/4

So you do this one more time.  1 - 1/3 - 1/4 - 1/5

Can you handle this or do you need help with fraction subtraction.  

enice brudley purchased 3,000 shares of GTI petroleum at $6.30 per share. The broker's commission was $19.95 for fewer than 1,000 shares or $0.02 per share for 1,000 or more. What was the cost of the stock? What was the total paid?

Answers

Answer:

Step-by-step explanation:

Cost of stock (without the broker's fee) : 3000 * 6.30 = 18,900

Cost of broker's fee: 3000 * 0.02 = $ 60

For a total cost of (18,900 + 60) = $18,960

Answer:

1. Cost of stock = $ 18,900

2. Total paid = $ 18,960

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Number of GTI petroleum shares purchased by Enice = 3,000

Cost per share = $ 6.30

Broker's commission was $19.95 for fewer than 1,000 shares or $0.02 per share for 1,000 or more

2.  What was the cost of the stock? What was the total paid?

Let's calculate the cost of the stock, this way:

Cost of stock = 3,000 * 6.30

Cost of stock = $ 18,900

Cost of brokers' commission = 3,000 * 0.02

Cost of brokers' commission = $ 60

Total paid = Cost of stock + Cost of broker's commission

Total paid = 18,900 + 60

Total paid = $ 18,960

What is the square root of the number 10

Answers

Answer:

3.16227766017

Step-by-step explanation:

I think so

3.16227766017 is the exact square root

How do you graph y=2/3x + 5

Answers

Answer:

Plot a point at 5 on the y axis then move up 2 spaces and right 3 spaces and plot a point there

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match each equation with the correct solution.I=-8=8m=9I=153150 9) = 2(5x + 6)4(35 + 5) 3 = 9.5 7-5(5 + 7) 3(3 4) = 7x +: Dr. L. Hill conducted a study examining music ability in families; she recorded the concordance rates of music ability of adopted children and their parents (who raised them), and she also recorded the concordance rates of the children with their biological parents. Then, she compared the two sets of concordance rates. Dr. Hill is studying: Selected Answer: Correct Behavior genetics Answers: A.Dominant-recessive B.gene relationships C.Correct Behavior genetics D.Epigenesis Active gene effects Troy took out a loan for $1850 at a 9.6% APR, compounded monthly, to buy atelevision. If he will make monthly payments of $102.50 to pay off the loan,which of these groups of values plugged into the TVM Solver of a graphingcalculator could be used to calculate the number of payments he will have tomake?ENV.CNO A. N=;1% = 9.6; PV=-1850; PMT=102.5; FV=0; P/Y=12; C/Y=12;PMT:ENDO B. N=; 1% = 0.8; PV=-1850; PMT=102.5; FV=0; P/Y=12; C/Y=12;PMT:ENDO C. N=; 1% = 9.6; PV=-1850; PMT=102.5; FV=0; P/Y=1; C/Y=12;PMT:ENDO D. N=; 1% = 0.8; PV=-1850; PMT=102.5; FV=0; P/Y=1; C/Y=12;PMT:END A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment n=8, p=0.6, x What is (-5.6) Please help Veterinarians often use nonsteroidal anti-inflammatory drugs (NSAIDs) to treat lameness in horses. A group of veterinary researchers wanted to find out how widespread the practice was in the United States. They obtained a list of all veterinarians treating large animals, including horses. They sent questionnaires to all the veterinarians on the list. Such a survey is called a census. The response rate was 40%. Which statement is NOT correct?A.Such a low response rate has the potential for response bias.B. The intended sample consisted of the target population.C. The chance to be selected into the sample was the same for all veterinarians.D.The sample was a volunteer sample. Newly made blue jeans are stiff because of the large amounts of starch used in the fabric. The starch is added to make the fabric easier to cut and sew. However, it also makes the material difficult to wear comfortably. Some microbiologists came up with a way of using microbial enzymes to remove the starch before the blue jeans are sold. Which of the following enzymes would be effective at removing the starch?A) lipaseB) cellulaseC) amylaseD) proteaseE) lactase