The surface area of a rectangular prism is 174 square inches. The rectangular base has one side length 3 times the other. The height of the prism is 5 inches. What are the maximum lengths of the sides of the base?

Explanation:

Theoretically, we expect "6" to show up once every 6 rolls assuming we have a fair die. So about 1/6 = 0.17 = 17% of the time.

The table on the other hand shows "6" showing up 14 times out of 100 to get an experimental probability of 14/100 = 0.14 = 14% which is 3 percentage points less than the theoretical estimate.

Answer:

Yes, you've got it correct.

Step-by-step explanation:

The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).

A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile..

Given the data set, 30, 22, 22, 27, 28, 23, 24, 25, 26, 23, the five-number summary for the box-and-whisker plot would be:

Therefore, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).

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Answer:

the answer is d look at this picture for proofs

Answer:

i have the same question

Step-by-step explanation:

it is positive 7

Answer:

117/234 Whch is Y10 Girls/ All Y10 Students.

Number of cups used for making one batch of cookie :-

[tex] = 2 \frac{1}{2} \: cups[/tex]

Number of cups of flour I use = 7

number of batches of cookie I make :-

[tex] = 7 \div 2\frac{1}{2}[/tex]

[tex] = \frac{7}{1} \div \frac{(2 \times 2 + 1)}{2} [/tex]

[tex] = \frac{7}{1} \div \frac{5}{2} [/tex]

[tex] = \frac{7}{1} \times \frac{2}{5} [/tex]

[tex] = \frac{14}{5} [/tex]

[tex] = 2\frac{4}{5} \: batches[/tex]

Therefore , I have made :-

[tex]2 \frac{4}{5} \: batches \: of \: cookies[/tex]

A circle, when using degrees, have 360 degrees. 1/360 of a circle can be calculated by multiplying the two numbers.

[tex]\frac{1}{360}*360=1[/tex]

Therefore, the answer for the question is

1/360 of a circle measure 1 degree

Answer:

the first one.

Step-by-step explanation:

the "-" sign simply turns everything upside-down. what was originally above the x-axis is now below it, and what was below the x-axis is now above it. hence : a reflection over the x-axis.

and 3x compared to x simply makes us race "faster" along the x-axis. we get now at x the functional value we would have gotten at 3x with the original function. so, the function graph appears compressed in the left-right (horizontal) direction compared to the original graph.

Answer:

25

Step-by-step explanation:

Power-to-weight ratio is a calculation commonly applied to engines and mobile power sources to enable the comparison of one unit or design to another.

Answer:

m = 28

Step-by-step explanation:

70 × 2 = 5m

140 = 5m

28 = m

Answer:

A = 66 adults, C = 40 children

Step-by-step explanation:

We can set up a system of equations to find how many adults and how many children attended the concert, with A representing the adults and C representing the children:

[tex]A + C = 106\\4A+3.75C=414[/tex]

We can use the elimination method and multiply everything in the first equation by -4

[tex]-4(A+C=106)\\-4A-4C=-424\\4A+3.75C=414[/tex]

Once we add the values together, we're left with:

[tex]-0.25C = -10[/tex], where solving for C gives us C = 40

We can plug C into the first equation to find A:  [tex]A+40=106[/tex], where solving for A gives us A = 66

Answer:

A. ​Yes, the point is​ defined, ​limit f(x) exists, and ​limit f(x) 0.

Step-by-step explanation:

Let be [tex]f(x) = \frac{x^{2}-25}{x-7}[/tex], a rational function is continuous at a value of [tex]x[/tex] if and only if denominator is different from zero. In particullar, [tex]x-7 \neq 0[/tex].

Then, we find that function is continuous for every value of [tex]x[/tex] except [tex]x = 7[/tex]. Thus, the function is continuous at [tex]x = 0[/tex], which is evaluated below:

[tex]f(x) = \frac{(x+5)\cdot (x-5)}{x-7}[/tex]

[tex]f(0) = \frac{(0+5)\cdot (0-5)}{0-7}[/tex]

[tex]f(0) = \frac{(5)\cdot (-5)}{-7}[/tex]

[tex]f(0) = \frac{-25}{-7}[/tex]

[tex]f(0) = \frac{25}{7}[/tex]

Thus, correct answer is A.

Brand C is the cheapest per ounce among Brand A and Brand B. So option B is the correct answer

Brand A is a 16-ounce can and costs $0.89

Brand B is a 32-ounce can and costs $1.75.

Brand C is sold as three 16-ounce cans and costs $2.65.

If two expressions are connected with equal sign is called equation.

16a=0.89

32b=1.75

3(16c)=2.65

a=0.055

b=0.0546

c=0.0552

Therefore brand B is the cheapest per ounce

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Answer:

b=[tex]\frac{f}{2-Q}[/tex]

Step-by-step explanation:

[tex]\frac{7\sqrt{23}}{8}\approx 4.196352583[/tex]

Answer:

The selling price of the shoes is $26.46.

Step-by-step explanation:

Given the following question:

8% of 24.50

To find the answer we will use the formula to calculate percentages, we multiply the percentage by the cost, then we divide that answer by 100. Finally, we add that answer to the original costs of the shoes to have our answer.

[tex]\frac{p~x~n}{100}[/tex]

[tex]\frac{8~x~24.50}{100}[/tex]

8 × 24.50 = 196

196 ÷ 100 = 1.96

8 of 24.50 is 1.96

Now Add

[tex]24.50+1.96=24.46[/tex]

The selling price of the shoes are $26.46.

~Hope this helps

~If you have any questions please ask.



Answer:

8%

Step-by-step explanation:

Answer:

[tex]96.25[/tex] minutes.

Step-by-step explanation:

The question states that it takes the larger hose [tex]55[/tex] minutes to fill the entire pool on its own. Assume that the larger hose fills the pool at a constant rate. What fraction of the pool would this hose fill in each minute?

The larger hose fills [tex]\displaystyle \frac{1}{55}[/tex] of the pool in each minute. That is: [tex]\displaystyle \frac{1\; \text{pool}}{55\; \rm \text{minutes}} = \frac{1}{55}\; \text{pool} \cdot \text{minute}^{-1}[/tex].

Similarly, assume that the smaller hose is also filling the pool at a constant rate. The question states that it takes [tex]35[/tex] minutes for the two hoses to fill the pool when working together. Therefore, when working together, the two hoses would fill [tex]\displaystyle \frac{1}{35}[/tex] of the pool in each minute. That is: [tex]\displaystyle \frac{1\; \text{pool}}{35\; \rm \text{minutes}} = \frac{1}{35}\; \text{pool} \cdot \text{minute}^{-1}[/tex]

The difference between these two fractions should represent the fraction of the pool that the smaller hose fills in each minute:

The smaller hose fills [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)[/tex] of the pool in one minute. That's [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}[/tex].

At [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}[/tex], filling the entire pool would take

[tex]\displaystyle \frac{1\; \text{pool}}{\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}} = \frac{1}{\displaystyle \frac{1}{35} - \frac{1}{55}}\; \text{minute} = 96.25\; \text{minute}[/tex].

Hence, it would take [tex]96.25[/tex] minutes for the smaller hose to fill the entire pool on its own.

Answer:

p=13

Step-by-step explanation:

let p = people

72.95=5.15p+6

-6

56.95=5.15

/5.15

p=13

Answer:

Equation:5.14x+6=72.95

Answer:13 people

Step-by-step explanation:

5.15x+6=72.95

-6 on both sides

5.15x=72.95

divide by 5.15 on both sides

x=13 people

Answer:

i would say jon

Step-by-step explanation:

because he has the highest POSITIVE number but i need more info to be certain

Answer:

23 ft³

Step-by-step explanation:

Hope it helps.

[tex] \\ \\ [/tex]

You have the correct answer. Nice work.

=======================================================

Explanation:

Let's say Phil passes his brother at a sign post, and let's say the sign post is x miles into the 6 mile hike. This means 0 < x < 6.

Once Bill reaches the sign post, he turns around to walk back x miles. His faster brother Phil bikes the remaining 6-x miles to the trail end, before coming back to bike an additional 6 miles to get to the trailhead again. Phil arrives back at the same moment Bill does.

Overall, Phil travels 6-x+6 = 12-x miles in the same amount of time Bill walks back x miles. I recommend drawing out a number line diagram to see why this is the case.

-------------

For Bill, we have this equation

distance = rate*time

x = r*t

r = x/t

Phil has the equation

distance = rate*time

12-x = (3r)*t

Notice that Phil's rate is three times that of Bill. The t is the same for both brothers because they travel in the same timespan.

Plug in r = x/t and solve for x. The t variables divide and cancel.

12-x = 3*(r)*t

12-x = 3*(x/t)*t

12-x = 3x

12 = 3x+x

4x = 12

x = 12/4

x = 3

Phil passed Bill at the 3 mile marker.

This is why the answer is choice B.

Answer:

35 is the answer

*multiply both sides by 7. This leaves you with 5a=175. Then divide both side by 5. Leaving you with a=35

Answer:

[tex]a=35[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{5a}{7} =25[/tex]

To find the answer we need to isolate variable in order to find the value of a we are going to have to use inverse of operations to isolate the variable.

[tex]\frac{5a}{7} =25[/tex]
[tex]7\times0=0[/tex]
[tex]25\times7=175[/tex]
[tex]5a=175[/tex]
[tex]\frac{5a}{5} =a[/tex]
[tex]175\div5=35[/tex]
[tex]a=35[/tex]

Your answer is "a = 35."

Hope this helps.

Answer:

a. 35

Step-by-step explanation:

x - 18 = 17

x = 35

Answer:

55.2° ...............................

Answer: Your Mother

Step-by-step explanation:

Just kidding.

Grandmother. The trick is that the mother of the daughter of the mother is still the mother, so fatima's mom's mom is the grandmother.

Answer:

4 ways

Step-by-step explanation:

9+9=18

6+6+6=18

3+3+3+3+3+3=18

2+2+2+2+2+2+2+2+2=18

Answer:

The answer is 7:10 clock