Help me put the inequality on the number line!

The minimum monthly income will be $6165 and the hourly wage to cover the expenses will be $8.5625.

From the information given, the minimum monthly income will be $6165 since that's needed to cover the expense.

Also, the hourly income will be:

= 6165/(24 × 30)

= 6165/720

= 8.5625

The hourly income will be $8.5625.

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Answer:

Yes, Chen earned a bonus for the journey.

Step-by-step explanation:

1 hour = 61 km

4.5 hrs = 61 * 4.5 = 274.5 km

Now,

96 litres = 274.5 km

1 litre = 274.5/96 km

1 litre = 2.859 = 2.9 km (approximately)

So, he drived more than 2.8 kilometers per litre of fuel.

Answer:

Yes

Step-by-step explanation:

Calculating distance travelled by Chen

Calculating distance covered per litre of fuel

Answer:ax-by=1

Step-by-step explanation:

Answer:

24/40

Step-by-step explanation:

Sine = opposite over hypotenuse

Sine of z = (the side opposite of angle z) / (hypotenuse of the triangle)

Sin z = 24 / 40

The expression which represents the measure of two interior  angles of the provided regular pentagon is 16x²-26x+20.

Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.

The expression, which angles represent the sum of the interior angles of a regular pentagon in degrees, is,

[tex]40x^2 - 65x +50[/tex]

The interior angles of the given pentagon are equal. A Pentagon has 5 sides. Thus, the measure of angle of interior angle of the regular pentagon is,

[tex]m\angle n=\dfrac{40x^2 - 65x +50}{5}\\m\angle n=\dfrac{5(8x^2 - 13x +10)}{5}\\m\angle n=8x^2-13x+10[/tex]

The measure of two angles is,

[tex]2m\angle n=2(8x^2-13x+10)\\2m\angle n=16x^2-26x+20[/tex]

Hence, the expression which represents the measure of two interior  angles of the provided regular pentagon is 16x²-26x+20.

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The probability of throwing a drop of paint into one of the triangles is 3.96% if a  large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and a height of 3', and the other with a right triangle with a hypotenuse of 5' and a side of 3'

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Total area of the canvas = 9' x 21' = 189 square units

This area is representing the total outcome =  189

Total favorable outcome = area of first triangle + area of the second          

                                             triangle  

Area of the first triangle = (1/2)(1x3) = 3/2 square units

From the Pythagoras theorem:

Height = √(5² - 3²) = 4'

Area of the second triangle = (1/2)(3x4) = 6 square units

Total favourable outcome = 3/2 + 6 = 15/2

Now the probability:

[tex]= \frac{\frac{15}{2} }{189}[/tex]

= 15/378

= 0.0396×100

= 3.96%

Thus, the probability of throwing a drop of paint into one of the triangles is 3.96% if a  large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and a height of 3', and the other with a right triangle with a hypotenuse of 5' and a side of 3'

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Answer:

Step-by-step explanation:

Remark

Just fill in the formula. If you don't have a formula sheet, it would be a good idea to make one.

Formula

C = 2*pi * r

Givens

pi = 3.14

r = 10 inches

C = ?

Solution

C = 2*pi * r             Put the givens into the formula

C = 2* 3.14 * 10   Combine

C = 6.28 * 10

C = 62.8 inches.

Answer

C = 62.8 inches.

Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.

It is modeled by:

[tex]y = ab^x[/tex]

In which:

Function 1 is given by:

[tex]y = 2(0.2)^x[/tex]

Hence the rate is b = 0.2.

Considering the values on the table, function 2 is given by:

[tex]y = (0.8)^x[/tex]

Hence the rate is b = 0.8.

Hence, the second function has a greater rate, as 0.8 > 0.2.

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Answer:

Vic would likely say that Imani is using too much butter. Vic is also using too much butter in their recipe, that much butter in any recipe can be lethal.

__________________________________________________________

Questions related to the topic? Ask me in the comments box.

Answer:

Vic has too much butter!!!

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

1feet=12 inch

so, 3x12=36 inch

this means 41 inch is greater

Answer:

606 feet

Step-by-step explanation:

The fireword has a 5-second fuse, meaning that's how long it will take to explode.

Given the polynomial -16t² + 200t + 6, where t is the time in seconds

We need to subsitute 5 sec. (as stated in the question) for t in the polynomial, to find how high the fireworks will be when it explodes :

-16t² + 200t + 6 <== substitute 5 for t

-16(5)² + 200(5) + 6 <== square the exponent first

-16(25) + 1000 + 6 <== multiply

-400 + 1000 + 6 <== add

-400 + 1006 <== add

606 feet <== final answer

This means that it will be 606 feet high before it explodes.

Hope this helps!

Answer:

21

Step-by-step explanation:

3= x/7

3/1=x/7

x=21

I hope this was helpful

Answer:

21

Step-by-step explanation:

3=x/7

x=3×7

x=21

Answer:

B. 6x + 8y = z , x represents the calzones sold; y represents grinders sold; z represents total sales.

Answer:

I guess it's d not sure tho

Answer:

Im guessing 85-90

Step-by-step explanation:

IT COULD BE WRONG

Answer:

x=120 degrees

Step-by-step explanation:

All triangle add up to 180 degrees so first you need to finnish the triangle which is 60 degrees. X and 60 degrees is on a straight line which means something + 60= 180.

(180-60=120)

x= 120

Answer:

The answer is A

Step-by-step explanation:

Because its not a function.

Answer:

30.84 in

Step-by-step explanation:

First we find the circumference, which is d(pi), 12(3.14) which = 37.68. Then since the circle is a semicircle, we divide 37.68 by 2=18.84 in. Then we have to add 12 since the circle is cut in half, so add 12 to get 30.84.

The median of this dataset is 13.

Hope it helps.

Do comment if you have any query.

The second gear has approximately 2 teeth.

To find the number of teeth on the second gear, we can use the concept of gear ratios. The gear ratio is the ratio of the number of teeth on the first gear to the number of teeth on the second gear. It is equal to the ratio of their rotational speeds.

Gear Ratio = (Number of Teeth on First Gear) / (Number of Teeth on Second Gear)

Given that the first gear is rotating at 60 rpm and has 23 teeth, and the second gear is rotating at 5 rpm, we can set up the gear ratio equation:

60 rpm (First Gear) / 5 rpm (Second Gear) = 23 teeth (First Gear) / X teeth (Second Gear)

Now, let's solve for X (the number of teeth on the second gear):

X = (23 teeth × 5 rpm) / 60 rpm

X = 115 teeth / 60 rpm

X ≈ 1.92 teeth

Since you cannot have a fraction of a tooth, you would generally round up to the nearest whole number.

Thus, the second gear has approximately 2 teeth. However, it's important to note that it's not practical to have a gear with only 2 teeth, as it wouldn't effectively mesh with the first gear.

In real-world applications, gears typically have a higher number of teeth for smooth and efficient operation. So, in practice, the second gear would likely have a different, more practical number of teeth.

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Answer:

The friend is correct.

Step-by-step explanation:

[tex]\frac{35}{100} =\frac{x}{20}[/tex]

cross multiply:

700 = 100x

700/100 = 100x/100

7 = x

Your friend is correct. The method they used to solve is also a valid way of solving.

hope this helps!

Answer:
fraction:

x = [tex]\frac{1}{8}[/tex]  
decimal:

x = 0.125

Step-by-step explanation:

64 divided by 8 = 8
[tex]\frac{64}{8}[/tex] = 8
So if youre changing this to multiplication you want to multiply by [tex]\frac{1}{8}[/tex]
[tex]\frac{64}{1}[/tex] * ( [tex]\frac{1}{8}[/tex] )= [tex]\frac{64}{8}[/tex] = [tex]\frac{8}{1}[/tex] = 8

Answer:

fraction:

x = \frac{1}{8}81  

decimal:

x = 0.125

Step-by-step explanation:

64 divided by 8 = 8

\frac{64}{8}864 = 8

So if youre changing this to multiplication you want to multiply by \frac{1}{8}81

\frac{64}{1}164 * ( \frac{1}{8}81 )= \frac{64}{8}864 = \frac{8}{1}18 = 8

Step-by-step explanation:

Total surface area of a cylinder =

Area of curved surface (the round body) + area of two circular covers ( the top and bottom cover)

= 2πrh + 2πr²

= 2πr(h+r)

= 2 • 3.14• 6•(8+6)

= 527.52 m²

Cost per m²

= 17,408.16/527.52

= £33

Answer:

AM/AB = AN/AC = MN/BC

3/5 = MN/2

MN^5 = 2^3

5MN = 6

MN = 5/6 = 1.2cm

AN/AC = MN/BC

AN/5 = 1.2/2

2'AN = 5',1

2AN = 6

AN = 3cm

P AMN=

AM+MN+AN=

3+1,2+3 = 7,20cm

P BMNC=

BM+MN+NC+CB=

2+1,2+2+2=7,20cm

#:]✓

Answer:

20% is taken away from 50 to get 40

Answer:

7.5 or 7 1/2yards

Step-by-step explanation:

I believe that this is a simple 2.5*3 equation making the answer 7.5, because she has 3 sisters and you can guess that it is a blanket per sister, which makes it 3 blankets and each blanket is 2.5 yards so you multiply the two to see how much material you need.

Answer:

The answer is 7.5

Step-by-step explanation:

Multiply the 2.5 times 3 and you get 7.5

hope this helps <3

Answer:

39°

Step-by-step explanation:

To answer this question it's important to remember that all triangles have 3 angles which sum to 180. This means that we can set up an equation to find the missing angle

Create the equation

Combine like terms

Subtract 141 from both sides

This means that the missing angle is 39 degrees. Since two of the angles are equal to 39, this also means that this triangle is isosceles.

Answer:

48% of the lights are on.

Step-by-step explanation:

First, gather the total amount of lights by adding the on and off lights.

72 + 78 = 150

There are 150 total lights.

Now set up a fraction to determine the percentage.

lights on/total lights = 72/150

Divide 72 by 150.

72/150 = 0.48

Multiply this by 100 to get the percent.

0.48 * 100 = 48%

48 percent of the lights are on.

Answer:

48 percent

Step-by-step explanation:

Your welcome!

Answer:

43

Step-by-step explanation:

I personally think that the answer here would be C, all the birds in the forest.

The first 25 birds that were recorded are not the population.

The species with the greatest number is not the population. It is the most thriving species.

The species that are native to the area don't make up the whole population. They make up part of it, not the whole of it.

I hope this makes sense and it helps.

-Toremi