one number is four more than another number. if the greater number is x what is the other number

Hope this helps have a nice day!!!!

\(y^2 = 9(3+9)\\\\y^2 = 3^2\cdot3\cdot2^2\\\\y = 6\sqrt{3}\)

To find the volume of a prism, we can use the following formula:

\(V=base\hspace{3}area*height\)

Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.

For a rectangular prism, the base area is solved using the following formula:

\(A=lw\) ⇒ where l is the length and w is the width

We're given:

First, find the base area:

\(A=lw\\A=16^2\\A=256\)

Therefore, the base area is equal to 256 ft².

Now, modify the volume formula to isolate the height:

\(V=base\hspace{3}area*height\)

⇒ Divide both sides by the base area:

\(\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}\)

⇒ Plug in the given values:

\(height=\dfrac{4352}{256}\\\\height=17\)

Therefore, the height of the box is 17 ft.

The height of the box is 17 ft.

Answer:

17

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

Formula :

Degree Measure = Arc length / radius x 180/π

Solving :

Degree Measure = 3π/5 x 180/π

Degree Measure = 3 x 36

Degree Measure = 108°

Answer:

108°

Step-by-step explanation:

\(\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}\)

Given:

Substituting the given values into the formula and solving for \(\theta\):

\(\implies 3 \pi=2 \pi (5)\left(\dfrac{\theta}{360^{\circ}}\right)\)

\(\implies 3 =10\left(\dfrac{\theta}{360^{\circ}}\right)\)

\(\implies 3 \cdot 360^{\circ} =10\:\theta\)

\(\implies \theta=\dfrac{1080^{\circ}}{10}\)

\(\implies \theta={108^{\circ}\)

Answer:

sometinng like x^2+ 10x+5

The single number is the constant and the number before the variable(x) is the coefficient

Step-by-step explanation:

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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Answer:

a. See explanation for table

b. The 7th hour

Step-by-step explanation:

Given

Ski Resort

\(Base\ Snow = 75in\)

\(Rate = 1in\) hourly

Mt. Winterpark

\(Base\ Snow = 68in\)

\(Rate = 2in\) hourly

First, we need to illustrate the amount of snow as an equation in both cases.

\(Amount = Base\ Snow + Rate * Time\)

Let x be number of hours. and y be the amount of snow

So:

Ski Resort

\(y= 75 + 1* x\)

\(y= 75 + x\)

Mt. Winterpark

\(y= 68 + 2 * x\)

\(y= 68 + 2x\)

Next, we make a table to show the data.

When \(x = 0\)

Ski Resort: \(y = 75 + 0 = 75\)

Mt. Winterpark: \(y = 68 + 2(0) = 68\)

When \(x = 1\)

Ski Resort: \(y = 75 + 1 = 76\)

Mt. Winterpark: \(y = 68 + 2(1) = 70\)

When \(x = 2\)

Ski Resort: \(y = 75 + 2 = 77\)

Mt. Winterpark: \(y = 68 + 2(2) = 72\)

When \(x = 3\)

Ski Resort: \(y = 75 + 3 = 78\)

Mt. Winterpark: \(y = 68 + 2(3) = 74\)

When \(x = 4\)

Ski Resort: \(y = 75 + 4 = 79\)

Mt. Winterpark: \(y = 68 + 2(4) = 76\)

When \(x = 5\)

Ski Resort: \(y = 75 + 5 = 80\)

Mt. Winterpark: \(y = 68 + 2(5) = 78\)

When \(x = 6\)

Ski Resort: \(y = 75 + 6 = 81\)

Mt. Winterpark: \(y = 68 + 2(6) = 80\)

When \(x = 7\)

Ski Resort: \(y = 75 + 7 = 82\)

Mt. Winterpark: \(y = 68 + 2(7) = 82\)

When \(x = 8\)

Ski Resort: \(y = 75 + 8 = 83\)

Mt. Winterpark: \(y = 68 + 2(8) = 84\)

When \(x = 9\)

Ski Resort: \(y = 75 + 9 = 84\)

Mt. Winterpark: \(y = 68 + 2(9) = 86\)

When \(x = 10\)

Ski Resort: \(y = 75 + 10 = 85\)

Mt. Winterpark: \(y = 68 + 2(10) = 88\)

Hence, the table is:

x ---- Ski Resort ---- Mt. Winterpark

0 --------75 ----------- 68

1 --------76 ----------- 70

2 --------77 ----------- 72

3 --------78 ----------- 74

4 --------79 ----------- 76

5 --------80 ----------- 78

6 --------81 ----------- 80

7 --------82 ----------- 82

8 --------83 ----------- 84

9 --------84 ----------- 86

10 -------85 ----------- 88

(b)

From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches

Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

Answer:

There are 6 batches of chocolate chip cookies that can be made.

Step-by-step explanation:

First, turn 4 1/2 cups into an improper fraction with a denominator of 4 (which is 18/4). Then, do 18/4 divided by 3/4 (or 18/4 times 4/3 and both 4s cancel). The result is 18/3 or 6 because 3 times 6 equals 18.

Answer: y = 3x

Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.

According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.

On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.

Hence, the time taken to edit the 15minute long video is; 20 hours.

hi

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Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer: x=3/2

Step-by-step explanation: Hope this help :D

Answer:

57.3

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}\)

\(\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}\)

\(\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}\)

\(\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}\)

\(\mathsf{=\dfrac{32\times43}{3\times 8}}\)

\(\mathsf{= \dfrac{172}{3}}\)

\(\mathsf{= 57\dfrac{1}{3}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

16

Step-by-step explanation:

the numbers on the right of the arrow are half the value of the corresponding numbers on the left, then

32 → \(\frac{1}{2}\) (32)

32 → 16

Answer:

B. Triangle A and B

Step-by-step explanation:

Check the picture below.

Answer:

Left hand Limit = Right Hand Limit = f(a)

it is a continuous function.

Step-by-step explanation:

Solution:

In order to find out the continuity of the function, we need to keep in mind following things:

Left hand Limit = Right Hand Limit = f(a)

Where, f(x) = exists and f(a) = defined.

Data Given:

f(x) = x tan(1/x)   x \(\neq\) 0 (this function is used when x > 0  and x<0)

f(x) = 0 when x = 0

First we have to check the Left hand Limit.

L.H.L = f(0-h) (x<0)

Lim\(_{x-->0^{-} }\) f(x)

Lim\(_{x-->0^{-} }\) x tan (1/x)

Put x = 0-h

Lim\(_{x-->0^{-} }\) (0-h) tan (1/(0-h))

Lim\(_{x-->0^{-} }\)  h tan (1/h)

Putting h = 0

(0) x  (tan(1/0)))

As we know, for tanx value is a finitely oscillatory between -∞ to +∞  

Hence, 0 x finite number then,

L.H.L = 0

Similarly,

R.H.L = f(0+h)

Lim\(_{x-->0^{+} }\) (0+h) tan (1/(0+h))

Lim\(_{x-->0^{+} }\) (h) tan (1/(h))

R.H.L = 0

Now, as we know, when x = 0

f(x) = 0

f(0) = 0

Left hand Limit = Right Hand Limit = f(a)

Hence, it is a continuous function.

Answer:

Step-by-step explanation:

-20u+12-32u+4

-52u + 16

Answer:

-52u + 16

Step-by-step explanation:

4(- 5u + 3) - 4(8u - 1)

= -20u + 12 - 32u + 4

= -52u + 16

Answer:

15+25x

i guess it is done this way

sry if it is wrong

Answer:

i cant read it it pretty but i still cant read it sorry

Step-by-step explanation:

sorry

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer:

Vertical im guessing since both line cross eachother and both look the same

The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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The figure labelled JKLM is a kite and the length ML is equal to 11.

A kite is a quadrilateral that have two pairs of equal length of sides and these sides are adjacent to each other. It can be viewed as a pair of congruent triangles with a common base.

The line JM bisects the kite into two congruent triangles, and thus;

the lengths ML and MK are equal.

ML = 5x - 4 and MK = 2x + 5 so;

5x - 4 = 2x + 5 {collect like terms}

5x - 2x = 5 + 4

3x = 9

x = 9/3 {divide through by 3}

x = 3

we substitute 3 for x;

ML = 5(3) - 4

ML = 15 - 4

ML = 11

Therefore, the value of length ML for the kite is equal to 11.

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Using the z-distribution, it is found that the 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).

269 out of 1033 respondents said they were likely to only be in church, hence:

\(n = 1033, \pi = \frac{269}{1033} = 0.2604\)

95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so \(z = 1.96\).  

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 - 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2336\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 + 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2872\)

As a percentage:

0.2336 x 100% = 23.36%

0.2872 x 100% = 28.72%

The 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).

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Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units

The lengths are given as:

Start calculating the length DF using:

DE * DF = CD²

So, we have:

12 * DF = 16²

Evaluate the exponent

12 * DF = 256

Divide both sides by 12

DF = 21.3

The length FE is then calculated using:

DF = FE + DE

Substitute DE = 12 and DF = 21.3

21.3 = FE + 12

Subtract 12 from both sides

FE = 21.3 - 12

Evaluate the difference

FE = 9.3

Hence, the length of FE in the circle is 9.3 units

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