convert 4 7/8 to a decimal using long division

Final answer:

To solve for 'w' in the equation C = 100w/l, multiply both sides by 'l' and then divide by 100, resulting in 'w = Cl/100', which is option B.

Explanation:

To solve the equation C = 100w/l for w, we need to isolate w on one side of the equation:

Multiply both sides by l to get Cl = 100w.

Divide both sides by 100 to isolate w, which gives us w = Cl/100.

Therefore, the equation solved for w is w = Cl/100, which corresponds to option B.) W = LC/100.

0-0.7 | 1  

0.8-1.5 | 4  

1.6-2.3 | 4  

2.4-3.1 | 4  

3.2-3.9 | 0  

4-4.7 | 1

Final answer:

To solve the expression 13(9−6m)+14(12m−8), distribute the numbers and combine like terms to get the sum, which is 90m + 5.

Explanation:

To find the sum of the expression 13(9−6m)+14(12m−8), we need to distribute the numbers outside the parentheses across the terms inside the parentheses and then combine like terms.

Distribute the numbers:

13 × 9 = 117

13 × (−6m) = −78m

14 × 12m = 168m

14 × (−8) = −112

Now we combine like terms:

117 (−78m) + (168m − 112)

Simplifying this we get:

−78m + 168m = 90m

−112 + 117 = 5

So the sum is 90m + 5.

Katie Fulton's gross earnings would be $271.85 as calculated deducting allowances from total sales and then applying the 5% commission rate.

In this problem, Katie Fulton, the food supplements Representative, had total sales of 5859 dollars and the allowance has to be deducted from the total sales making the correct value for calculation 5437 dollars ($5859 - $422 = $5437).

Given that she earns a commission of 5%, we can calculate her gross earnings by multiplying her sales after allowance with this commission rate:

Gross Earnings = Commission rate * Sales after allowance = 0.05 * 5437 = $271.85.

So, Katie Fulton's gross earnings would be $271.85.

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To find the total volume of a six-pack of juice cans, calculate the volume of one can using the cylinder volume formula, [tex]V = \pi r^2h[/tex], and multiply by six. One can's volume, with a diameter of 6.6 cm and a height of 12.1 cm, is approximately 414.18 [tex]cm^3[/tex]. Multiplying by six gives a total volume of approximately 2485.08 [tex]cm^3[/tex] for the six-pack.

To calculate the total volume of a six-pack of juice cans, we first need to find the volume of a single can and then multiply that by six, since a six-pack contains six identical cans.

First, let's find the volume of one can using the formula for the volume of a cylinder [tex]V = \pi r^2h[/tex], where r is the radius and h is the height.

Given the diameter of a juice can is 6.6 centimeters, the radius r is half of that, which is 3.3 centimeters. The height h is 12.1 centimeters. Therefore, the volume of one can is:

[tex]V = \pi (3.3 cm)^2(12.1 cm) = \pi (10.89 cm^2)(12.1 cm) = \pi (131.769 cm^3) = 414.18 cm^3[/tex]

Now, to find the total volume for a six-pack, we multiply the volume of one can by six:

Total volume = 6 × 414.18 [tex]cm^3[/tex] ≈ 2485.08 [tex]cm^3[/tex]

Thus, the total volume of a six-pack of juice cans is approximately 2485.08 cubic centimeters.

It is 21 inches because it is

The Answer is C for plato

The answer is 854 for sure. I did the test and got it all right.

Answer:

854 customers.

Step-by-step explanation:

An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.

                          Overnight           2-day           Standard             Total

Group (1)                 27                     20                   53                   100

Group (2)                32                     17                    51                    100

Group (3)                34                      19                   47                    100

Total customers     93                     56                   151                  300

We have to calculate the number of people who will use overnight delivery.

Out of 300 customer there are 93 people who would use overnight delivery, so the percentage = [tex]\frac{93}{300}[/tex] × 100 = 31%

The online store has 2755 customers one day.

Therefore, 31% of the 2755 customers = [tex]\frac{31}{2755}[/tex] × 100 = 854.05 ≈ 854 customers.

854 customers would use overnight delivery.

Answer:

For 1: The wave speed of the wave is 30 m/s

For 2: The wave speed of the wave is 5 m/s

For 3: The frequency of the wave is 40 Hz

For 4: The frequency of the wave is 400 Hz

For 5: The frequency of the wave is 300 Hz

For 6: The wavelength of the wave is 0.773 m

For 7: The wavelength of the wave is 0.386 m

For 8: The wavelength of the wave is 0.625 m

For 9: The wave speed of the wave is 100 m/s

For 10: The wave speed of the wave is 50 m/s

Step-by-step explanation:

Wave speed is defined as the product of its wavelength and frequency.

Mathematically,

[tex]\text{Wave speed}=\lambda\times \nu[/tex]

where,

[tex]\lambda [/tex] = wavelength of the wave

[tex]\nu [/tex] = frequency of the wave

We are given:

[tex]\lambda =0.30m\\\\\nu=100Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.30\times 100=30m/s[/tex]

Hence, the wave speed of the wave is 30 m/s

We are given:

[tex]\lambda =0.10m\\\\\nu=50Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.10\times 50=5m/s[/tex]

Hence, the wave speed of the wave is 5 m/s

We are given:

[tex]\lambda =0.50m\\\\\text{Wave speed}=20m/s[/tex]

Putting values in above equation, we get:

[tex]20/s=0.50m\times \nu\\\\\nu=\frac{20}{0.50}=40s^{-1}[/tex]

Hence, the frequency of the wave is 40 Hz

We are given:

[tex]\lambda =0.20m\\\\\text{Wave speed}=80m/s[/tex]

Putting values in above equation, we get:

[tex]80/s=0.20m\times \nu\\\\\nu=\frac{80}{0.20}=400s^{-1}[/tex]

Hence, the frequency of the wave is 400 Hz

We are given:

[tex]\lambda =0.40m\\\\\text{Wave speed}=120m/s[/tex]

Putting values in above equation, we get:

[tex]80/s=0.20m\times \nu\\\\\nu=\frac{120}{0.40}=300s^{-1}[/tex]

Hence, the frequency of the wave is 300 Hz

We are given:

[tex]\nu =440Hz\\\\\text{Wave speed}=340m/s[/tex]

Putting values in above equation, we get:

[tex]340/s=\lambda\times 440\\\\\lambda=\frac{340}{440}=0.773m[/tex]

Hence, the wavelength of the wave is 0.773 m

We are given:

[tex]\nu =880Hz\\\\\text{Wave speed}=340m/s[/tex]

Putting values in above equation, we get:

[tex]340/s=\lambda\times 880\\\\\lambda=\frac{340}{880}=0.386m[/tex]

Hence, the wavelength of the wave is 0.386 m

We are given:

[tex]\nu =400Hz\\\\\text{Wave speed}=250m/s[/tex]

Putting values in above equation, we get:

[tex]250/s=\lambda\times 400\\\\\lambda=\frac{250}{400}=0.625m[/tex]

Hence, the wavelength of the wave is 0.625 m

We are given:

[tex]\lambda =2.0m\\\\\nu=50Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=2.0\times 50=100m/s[/tex]

Hence, the wave speed of the wave is 100 m/s

We are given:

[tex]\lambda =0.50m\\\\\nu=100Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.50\times 100=50m/s[/tex]

Hence, the wave speed of the wave is 50 m/s

The student needs to apply the formula for the volume of a pyramid, V = 1/3 * a² * h. Since the height is 3 cm less than the side length, this introduces a variable in the equation, (x - 3), to solve for x.

The question relates to pyramid volume and the formulation of mathematical equations. First, it requires understanding that the volume of a pyramid is derived using the formula V = 1/3 * a² * h, where V is the volume, a is the length of the side of the square base, and h is the height of the pyramid. Since the height is stated as 3 cm less than the base (x), we can interpret this in the formula as h = x - 3.

Replacing these values in the volume formula gives us V = 1/3 * x² * (x-3). As the volume given is 162 cubic centimeters, this forms the equation: 162 = 1/3 * x² * (x-3). Simplifying this equation would provide the base length x in cm.

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Answer:

passenger was 120 and freight was 40

Step-by-step explanation:

The circumference of circle is given by :

[tex] C =2\pi r [/tex]

where r is radius of circle and pi =3.14

Radius = half of diameter

Radius = (1/2) *4.9 = 2.45 in.

Now let us plug the value of radius in the formula for circumference.

[tex] C =2(3.14)(2.45) [/tex]

C = 15.386 inches

But circumference found by Nadiyah is 20 inches.

So the circumference found by Nadiyah is incorrect as correct one is 15.386 inches.

The value of x in the solution to the system of equations will be 3. Then the correct option is B.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The system of linear equations is given below.

y = 14x - 6               ...1

y = -4x + 48            ...2

From equations 1 and 2, then the value of the variable 'x' will be given as,

14x - 6  = -4x + 48

14x + 4x = 48 + 6

18x = 54

x = 3

The value of x in the solution to the system of equations will be 3. Then the correct option is B.

More about the solution of the equation link is given below.

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Answer:

The median is 14.

Step-by-step explanation:

You count 4 dots on both side and in the middle is 14 so 14 is the median.

Answer: 14

Step-by-step explanation: count 4 dots on both side and in the middle is 14