5. Solve the inequality. Show your work. 5y + 16 ≤ 56-

Answer: She will need 142 ft of curtain.

Step-by-step explanation:

Hi, first we have to convert the length of the curtain from inches to foot.

Since 1 inch = 1/12ft  

For 24 inches:

24 inches x 1/12 = 2 ft

Since the company wants to make 71 curtains, we have to multiply the length of each curtain (2ft) by 71.

2ft x 71 = 142ft

She will need 142 ft of curtain.

Feel free to ask for more if needed or if you did not understand something.

Regular pay: $12/hour

Time and a half: $12/hour * 1.5 = $18/hour

40 hours * $12/hour + 2 hours * $18/hour = $480 + $36 = $516

Answer: $516

5.3  is  one rational number between 5.2 and 5.5.

It is a rational because it can be written as a fraction  a/b where a and b are integers ( not = 0):-

5.3 = 53/100.

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Explanation:

 Total scoop contained in detergent box = 195 scoops.

 Scoops used by each load of laundry = [tex]2\frac{1}{2} =\frac{2*2+1}{2} =\frac{5}{2}[/tex] scoops = 2.5 scoops

 Number of laundry he can do with this box = 195/2.5 = 78 laundries.

 Price of detergent box = 19.99 $

 Price he paying for each load = Total price/ Number of loads

                                                   = 19.99/78

                                                   = 0.256 $

Do do this, you use the distance formula: time * speed = distance

So you do, 4.9 * 15.5 = 75.95

So, the rover will travel 75.95 centimeters in 15.5 seconds at a speed of 4.9 cm./s

The correct answer would be 75.95 centimeters

answer : 5

For example

The quadratic equation has 1 tuning point. The degree of quadratic polynomial is 2

Cubic polynomial can have 2 turning points. The degree of cubic polynomial is 3

From this we conclude that if a polynomial has 'n' turning points, then the least possible degree is n+1

the graph of a polynomial has 4  turning points, so the least possible degree is

4+1 = 5

5 is the least possible degree of this polynomial

The least possible degree of a polynomial that has four turning points is 5.

In mathematics, specifically in polynomial function, the degree of a polynomial can be linked to its turning points. The turning point of a function is the high point (peak) or low point (trough) of a graph. The degree of the polynomial is one more than the maximum number of turning points. So, if a graph of a polynomial has 4 turning points, the least possible degree of that polynomial would be 5. Therefore, the correct answer is (c) 5.

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For the x intercept, also known as the zero, we set y=0 and solve for x.

-4x = 20

x = 20/(-4)

x = -5

The x axis is the line y=0 so the y coordinate of an x intercept is always 0.

Answer: (-5, 0)

To find the x-intercept of any equation, set y=0 and solve for x. For the given equation −4x+5y=20, setting y=0 results in the x coordinate -5, making the x-intercept of the line (-5,0).

The x-intercept of any equation is the point where the line crosses the x-axis. At this point, the y-value is always zero because it lies on the x-axis. In the case of the equation −4x+5y=20, we can find the x-intercept by setting y=0 and solving for x.

So, substituting y=0 into the equation, we find:
-4x + 5(0) = 20
Simplifying, this becomes -4x = 20. Dividing both sides by -4, we get x = -5.

So, the x-intercept of the line represented by the equation -4x +5y = 20 is (-5,0).

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[tex]|x-5|-2=10\ \ \ \ |+2\\\\|x-5|=12\iff x-5=12\ \vee\ x-5=-12\ \ \ \ |+5\\\\x=17\ \vee\ x=-7[/tex]

To find segment AD given HD = 24 when H is the centroid, you would use the property of the centroid that divides medians in a 2:1 ratio. Since HD is the shorter part, multiply 24 by 2 to get AD = 48 units.

You're asking how to find the length of segment AD given HD = 24 in a geometric context involving a centroid. To find AD, we must understand the properties of the centroid, which is the point where the three medians of a triangle intersect. A median connects a vertex of a triangle to the midpoint of the opposite side, and in every triangle, the centroid divides each median in a 2:1 ratio, with the longer segment being closest to the vertex.

Given that HD = 24 and D is the midpoint of AH (because H is the centroid), according to the centroid properties, the length of AD must be twice the length of HD. Therefore:

AD = 2 * HD

AD = 2 * 24

AD = 48

The length of segment AD is 48 units.

3x = 27 is your answer

The addition of equality states that "if you add on one side, you must add the same number to the other side."

This is true, for you add 1 to each side (doing the opposite of PEMDAS to isolate the x)

C is your answer

Hope this helps

The numbers 1.703, 1.037, 1.37, 1.073 ordered from least to greatest are 1.037, 1.073, 1.37, 1.703. This is done by comparing digits from the thousandths place and onwards.

To arrange the numbers 1.703, 1.037, 1.37, 1.073 in order from least to greatest, we should first compare them to the thousandth place. If the thousandths are equal, we then move to the hundredths place, and so on until the numbers can be distinguished. Let's apply this to your example:

This means the order from least to greatest is 1.037, 1.073, 1.37, 1.703.

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Step One

Find the area of the rectangle

Area = L * W

Area = 89 cm * 70 cm

Area = 6230 cm^2

Step Two

What is the formula for the two end semicircles?

Two semicircles = 1 whole circle

Area of any circle = pi * r^2

Step Three

Find the area of the circle

r = the width / 2     This may not be true. You need the diagram. If the circles are drawn on the length then use r = the length / 2

r = 70/2  = 35 cm

Area of circle = pi * r^2

Area of circle = 3.14 * 35^2

Area of circle = 3846.5

Step Four

Find the total area

The total area = Area of the rectangle + area of circle

The total area = 6230 + 3846.5

The total area = 10076.5 cm^2 <<<< Answer

Answer:

$639.98 is budgeted for the rent.

Step-by-step explanation:

Joshua's monthly salary is $2,909 and the budget for the rent is 22% of her salary.

For finding the amount of rent, we just need to find 22% of $2909. For that, first we need to convert 22% into decimal by dividing it by 100 and then multiply this result with $2909.

So, [tex]22\%= \frac{22}{100}=0.22[/tex]

Now,  [tex](\$2909*0.22)= \$639.98[/tex]

Thus, $639.98 is budgeted for the rent.

Answer:

7984

Step-by-step explanation:

Answer:

Side of Squared shaped plot = x foot

Then the farmer fences off a 25 foot wide section to create an area to store equipment.

As width=25 foot

and Length =x foot

Area = 25 x square foot

So 25 x represents area which is used for storing equipment.

So out of all the options Option D is correct which is The area of the land fenced off to store equipment .

Answer

The statement best describes the term 25x is  option ( D)

i.e  The area of the land fenced off to store equipment.

Reason

As given in the question

A farmer has a square-shaped plot of unused land

After the farmer fences off

he fences off a 25-foot wide section to create an area to store equipment.

x represent the original length of the plot.

this shows that the plot used to store equipment is not square.

Formula

Area of the rectangle = length × breadth

length = x

breadth = 25

put in the above equation

Area = 25x feet²

therefore 25x feet² shows the area of the land fenced off to store the equipment.

Hence proved

Answer:

The answer is A 250/yr

Step-by-step explanation:

The value of x is -4.

Here,

The expression is;

6 (-3 - x ) - 2x = 14

We have to find the value of x.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

The mathematical expression is,

6 (-3 - x ) - 2x = 14

Solve this, we get;

6 (-3 - x ) - 2x = 14

- 18 - 6x - 2x = 14

Add 18 both sides,

- 8x = 14 + 18

- 8x = 32

Divide both sides by -8,

x = -4

Hence, The value of x is -4.

Learn more about the mathematical expression visit:

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Hello!

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?

____ feet

What is the margin of error?

_____ to ______ feet

Answers:

A. 0.5 feet

B. 15.5 to 16.5

Sofia measures the length of her car as 16 feet So she measures the car to the nearest foot.

The rounding error can be +/- 0.5 feet

The greatest possible error is 0.5 feet

The margin of error is 15.5 to 16.5 feet

It will take 35 minutes to peel 14 potatoes

Hope this helps :)

Answer:

It will take 35 minutes to peel 14 potatoes

Step-by-step explanation: Brainly?

$22.20

multiply the amount of candles bought by the cost of each candle

= 60 × $0.37 = $22.20

Answer:

In order to increase humidity by 49.17 grams per kilogram, the increase in temperature will be 18 degree Celsius approx.

Step-by-step explanation:

Initial humidity = 5.75 g/kg

Final humidity= 49.17 g/kg

Percentage increase in humidity= (49.17-5.75)/5.75 *100= 755.13

Increase in temperature= 755.13/43 = 17.56

Increase in temperature = 18 degree Celsius approx.

Answer:

The temperature must increase by more than 6 degree Celsius for the humidity to reach at least 49.17 grams per kilogram

Step-by-step explanation:

Given : Humidity on Monday morning = 5.75 grams per kilogram

To Find: He wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram.

Solution :

Let T be the increase in temperature, in degrees celsius, from monday morning.

According to question

The humidity measured in grams of water per kilogram of air, increases by 43% for every 1 degree Celsius increase in temperature.

So. Rate of increment is 43%

So, it becomes : [tex]100+43=143\% =1.43[/tex]

43% increases for every 1 degree celsius.

So, for T the increase is 1.43*T

So, [tex]1.43T\geq \frac{49.17}{5.75}[/tex]

[tex]1.43T\geq 8.55[/tex]

[tex]T\geq \frac{8.55}{1.43}[/tex]

[tex]T\geq 5.97[/tex]

Thus the temperature must increase by more than 6 degree Celsius for the humidity to reach at least 49.17 grams per kilogram

Answer:

Step-by-step explanation:

Think of of this as a function in which the number of pounds is a function of the number of hours. Each piece of given information is a point. Each point has the format (x, y) = (hours, pounds), where hours is x and is the independent variable, and pounds is y and is the dependent variable.

You have two points (4.5, 1445) and (7, 2320). First find the slope of the line that passes through those two points. Use the slope formula,

m = (y2 - y1)/(x2 - x1).

Then using the slope and the point-slope equation of a line, find the equation of the line. The point-slope equation of a line is

y - y1 = m(x - x1),

where m = slope, and the point is (x1, y1).

Try it. If you have questions or need extra help, just comment.

We have the equations:

x + 3 = 15 and 3y - 1 = 2x - 4

x + 3 = 15    |-3

x = 12

Put the value of x to the second equation:

3y - 1 = 2(12) - 4

3y - 1 = 24 - 4

3y - 1 = 20     |+1

3y = 21    |:3

y = 7

Let number of plastic containers collected by fourth grade= x

Then number of plastic containers collected by fifth grade students=x-216

OR

If number of plastic container collected by fifth grade is y

then number of plastic container collected by fourth grade=y+216

So, we can write it as follows

⇒ number of plastic containers collected by fourth grade= number of plastic containers collected by fifth grade +216

Answer:

A. [tex]x=\frac{11}{c}[/tex]

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following equation given above:

[tex]cx-4=7[/tex]

2. The negative four will pass as a positive four to the rigth member.

3. Te sum of 7 and 4 will be divided by [tex]c[/tex], as following:

[tex]cx=7+4\\cx=11\\x=\frac{11}{c}[/tex]

Answer:

I think that the answer is A. x=11/c

Step-by-step explanation:

so it is 87.5 so what you do do is 25 x 3.50 and it will give you 87.5

Joe has a bonus of $25 and he needs to earn a total of $165. He needs to make $140 on his hourly wage of $3.50. By dividing $140 by $3.50, we find that Joe needs to work 40 hours to reach his goal.

The subject of this question is Mathematics, particularly dealing with real-life word problems. To solve this, we first have to account for the bonus that Joe has already received. If Joe has a bonus of $25 this week, then he needs to earn $165 - $25 = $140 from his hourly wage in order to reach his goal. Joe earns $3.50 per hour. To figure out how many hours he needs to work to earn $140, you divide the total amount of money he needs to earn by the amount he earns in one hour. Hence, $140 ÷ $3.50 = 40 hours. So, Joe needs to work 40 hours to make at least $165 if he gets a bonus of $25 this week.

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Answer:

760,000

Step-by-step explanation: