The height of a rectangular prism is 2 meters. The width of the prism is 2 times the height,and the length is 2 times the width. What is the greatest number of 1-meter unit cubes that will fit into the rectangular prism?
A 4
B 48
C 64
D 128

The required solution of the given equation is 5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The given equation is

2x + = x + 5

According to given question we have

Mental Math is an exercise where we solve mathematical equations mentally without the help of a calculator.

To do the bigger or important quantities first. This gives an estimate of the value expected. Such an approach is front end or left to right multiplication.

2x = x + 5

Substract x from both sides we get,

x=5

Therefore, the required solution of the given equation is 5.

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Answer:

62cm

Step-by-step explanation:

You were told the perimeter of the triangle is 38

but two sides are added to make a Pentagon. and that Pentagon is made up of a triangle and a square.

so if we find the side of the square, we can equally get the other two sides of the triangle.

hint: (because it's a square, we would be getting an isosceles triangle, meaning two sides are equal)

because one side of the pentagon added to the other two sides of the triangles gives us the perimeter of the triangle.

we first find the sides of the square with all sides equal by diving by 2

\( \frac{48}{2} = 12\)

the sides of the square making the perimeter of the square 12cm.

now we subtract 12 from the perimeter of the triangle 38

\(38 - 12 = 26\)

now that we have gotten one side we can get the other two by dividing the result by 2

\( \frac{26}{2} = 13\)

so the other two sides of the triangle are 13cm.

now since we have the sides of the square and the triangle, we can find the perimeter of the pentagon by adding.

all the sides of the triangle without the base which is also the top of the square.

so instead of adding 4 times of 12, we add 3 times of 12 and 2 times of 13.

3(12)+2(13) = 62

or

12 + 12 + 12 + 13 + 13 = 62cm

9514 1404 393

Answer:

  see below

Step-by-step explanation:

  \(\text{A. point: }X\\\\\text{B. ray through Y: }\overrightarrow{XY}\\\\\text{C. line through Z: }\overleftrightarrow{XZ}\\\\\text{D. plane: plane } XYZ\)

__

Additional comment

When you don't have the benefit of typesetting, you can refer to the geometry by name: ray XY, line XZ,

Both students' claims are incorrect because the correct expression is - product of 9 and the product of 3 and t gets divided by y.

Regarding the posed issue:

The given equation:  9(3t)/ y

It is clear that 9, 3 and 't' are in the multiplication and y is with the division of the that.

Thus, both students' claims are incorrect because the correct expression is - product of 9 and the product of 3 and t gets divided by y.

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Answer:

The 95% confidence interval for the mean number of ounces of ketchup bottle is (23.8, 24.2).

Step-by-step explanation:

The complete question is:

Suppose that a restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average, with a standard deviation of 0.8 ounces. If you took a sample of 49 bottles of ketchup, what would be the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample?

Solution:

The (1 - α)% confidence interval for the population mean is:

\(CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}\)

The information provided is:

\(\bar x=24\\\sigma=0.8\\n=49\\\text{Confidence Level}=95\%\)

The critical value of z for 95% confidence level is:

\(z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96\)

*Use a z-table.

Compute the 95% confidence interval for the mean number of ounces of ketchup per bottle as follows:

\(CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}\)

     \(=24\pm1.96\cdot \frac{0.80}{\sqrt{49}}\\\\=24\pm 0.224\\\\=(23.776, 24.224)\\\\\approx (23.8, 24.2)\)

Thus, the 95% confidence interval for the mean number of ounces of ketchup bottle is (23.8, 24.2).

Answer:

28cm^2

Step-by-step explanation:

4 x 7

Answer:

no sé nada de inglés we ya me entiendes si supiera te ayudará pero eso está difícil busca por internet

Answer:

1 hot dog = $1.50 each

1 hamburger = $1.75 each

Step-by-step explanation:

Answer:

The prices must be $1.50 and $1.75

Step-by-step explanation:

For instance, seven hot dogs and two hamburgers cost $14: 7D+2B=14

We also know that two hot dogs and seven hamburgers cost $15.25: 2D+7B=15.25

Now, if we combine these two equations, we have a system where EVERYTHING has to be true at the same time 

7D+2B=14

2D+7B=15.25

From here there are a couple trick you should know to solve a system of equation, especially substitution and elimination. I see a coefficient of 2, so I'd rather use substitution by dividing the entire first equation in half:

3.5D+B=7

Now I'll solve for B

B=7-3.5D

Now that I've solved for a variable, I can substitute the solution into the other equation

2D+7(    B   )=15.25

becomes

2D+7(7-3.5D)=15.25

Now I can distribute and solve for D:

2D+49-24.5D=15.25

22.5D=33.75

D=1.5

Now we can replace D from either (or both) of our original equations and see what B has to be

7(1.5)+2B=14

10.5+2B=14

2B=3.5

B=1.75

2(1.5)+7B=15.25

3+7B=15.25

7B=12.25

B=1.75

The prices must be $1.50 and $1.75. The most important part of all this is setting up the equations, the rest is just being careful with your calculations.

The probability of roll outcome:

1st 2 = 1/6

2nd prime = 1/2, and

3rd more than 4 = 1/3.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

In a fair die, considering the outcomes from the question:

probability of the 1st roll to be 2 = 1/6

probability of 2nd roll to be prime = 3/6

probability of 2nd roll to be prime = 1/2

probability of 3rd roll to be more than 4 = 2/6

probability of 3rd roll to be more than 4 = 1/3

Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.

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The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

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Answer:

The values of \(m\) and \(n\) are 0 and 2, respectively.

Step-by-step explanation:

If \(\vec {c} = m\,\hat{i} + n\,\hat{j} + \hat{k}\) is perpendicular to \(\vec {a} = 5\,\hat{i} + \hat{j} -2\,\hat{k}\) and \(\vec {b} = 3\,\hat{i} - 3\,\hat{j} + 6\,\hat{k}\), then the following relationships must be observed:

\(\vec {c}\,\bullet\,\vec {a} = 0\) (1)

\(\vec{c}\,\bullet \,\vec{a} = 0\) (2)

Then, we expand the previous expressions:

\((m, n, 1)\,\bullet\,(5, 1, -2) = 0\)

\(5\cdot m + n = 2\) (1b)

\((m, n, 1)\,\bullet\,(3, -3, 6) = 0\)

\(3\cdot m - 3\cdot n = -6\) (2b)

Then, we solve for \(m\) and \(n\):

\(m = 0, n = 2\)

The values of \(m\) and \(n\) are 0 and 2, respectively.

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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Answer:

B. 259

Step-by-step explanation:

6^(i - 1) for i = 1 to 4

sum = 6^(1 - 1) + 6^(2 - 1) + 6^(3 - 1) + 6^(4 - 1) =

= 6^0 + 6^1 + 6^2 + 6^3

= 1 + 6 + 36 + 216

= 259

Answer: B. 259

The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

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The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

Step 1. Graph the first equation.

Step 2. Graph the second equation on the same rectangular coordinate system.

Step 3. Determine whether the lines intersect, are

parallel, or are the same line.

Step 4. Identify the solution to the system.

If the lines intersect, identify the point of intersection. Check to make sure it is a solution to both equations. This is the solution to the system.

If the lines are parallel, the system has no solution If the lines are the same, the system has an infinite number of solutions.

Answer:

x = 56°

Step-by-step explanation:

The triangle given has two equal sides, therefore, it is an isosceles triangle. And isosceles triangle has two equal base angles which are opposite to each of the equal sides.

Therefore:

2(62°) + x = 180° (sum of triangle)

Solve for x

124° + x = 180°

x = 180° - 124°

x = 56°

Answer:

20% + 100% = 120% therefore ( 316x120% ) ÷ 100 = 379.2 = original price

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Answer:

y=2x

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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Answer:

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

Step-by-step explanation:

Black Diamond:  ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.

Bunny Hill:  ChargeBH(h) = $75 + ($10/hr)h

We equate these two formulas to determine when the cost of using the ski slopes is the same:

ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h

We must now solve for h, the number of hours spent skiing:

50 + 15h = 75 + 10h

Grouping like terms, we obtain:

5h = 25, and so h = 5 hours.

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

According to the T distribution, the correct option is (d) All the above

T distribution:

In statistics, t-distribution is used in all forms of t-tests. Where the T-tests are all classified as inferential statistical tests and will follow all of the same steps required to complete the process of null hypothesis significance testing. And it defines the exact shape of the t-distribution is governed by the degrees of freedom. And the t-distribution is associated with a degrees of freedom equal to the sample size minus a value of 1.

Given,

Here we need to find the correct option according to the T distribution.

As per the given options, the correct answer is best represented by option D. All of the above are correct.

Because, the t-distribution, along with the normal distribution, both assume data is normally distributed in the population.

When the sample size increases towards 30, the t-distribution will resemble the normal distribution, provided the data in the population is normally distributed.

If it is correct to state that the tails of the t-distribution are thicker compared to the normal distribution.

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Answer:

y=2x-7       :>

Step-by-step explanation:

College? Im in 7th grade-

Also if its right give me brainest :D