A rectangular prism is 6.9 centimeters long and 1 centimeter wide. It’s volume is 21.39 cubic centimeters. What is the height of the rectangular prism? (will mark brainliest)

Answer:  4x - 3y (choice B)

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Explanation:

The letter x is a variable, and a placeholder for a number. Which number? We don't know. It's basically a box where a number goes inside.

x represents having 1 box

2x is two boxes, and so on

If we add 3x and 1x, then we'll have four boxes and 3x+1x = 4x

We can only add the x terms together, which we consider to be called "like terms".

The y terms -5y and 2y are the other pair of like terms, which combine to -3y

If you want, you can draw a vertical number line. Start at -5 which is five units below zero. Then move up two spaces to arrive at -3. This is a visual way to demonstrate that -5+2 = -3, and by extension, -5y+2y = -3y

Answer:

h

Step-by-step explanation:

Answer:

y=x+4

Step-by-step explanation:

y intercept should be at positive 4 and a straight line going in the positive direction

Answer:

6

explanation

[tex]since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6[/tex]

The probability that a student chooses drama as an elective is 7%.

Probability is the study of the odds of obtaining each outcome of a random experiment. These odds are assigned the real numbers in the range between 0 and 1. Results closer to 1 are more likely to occur.

In this case, we can call:

So, the information given was:

The formula will be:

P(A or D) = P(A) + P(D) - P(A and D)

So:

[tex]20\% = 15\% + P(D) - 2\%\\P(D) = 20\% - 15\% + 2\%\\P(D) = 7\%[/tex]

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Answer:

[tex]8[/tex].

Step-by-step explanation:

Notice that in equation for the total dollar amount collected ([tex]12+ 1.75\, n[/tex]), every additional bottle sold at the new price brings in [tex]1.75[/tex] dollars:

[tex]\begin{aligned}& 12 + 1.75\, n && \text{$n$ bottles at new price} \\ -\; & 12 + 1.75\, (n+1) && \text{$(n+1)$ bottles at new price} \\ =\; & 1.75\end{aligned}[/tex].

Therefore, the per-bottle price after the [tex]\$0.25[/tex] price increase would be [tex]\$1.75[/tex]. The per-bottle price before the price increase would be [tex]\$1.75 - \$0.25 = \$1.50[/tex].

Also notice that when [tex]n = 0[/tex], the total amount collected was [tex]t = 12 + 1.75\, n = 12[/tex]. In other words, the total amount collected was [tex]\$12[/tex] before any bottle was sold at the new price.

Thus, the vendor had collected [tex]\$12\![/tex] by selling at the initial price of [tex]\$1.50[/tex] per bottle. The number of bottles sold at that price would be:

[tex]\begin{aligned}\frac{12}{1.50} = 8\end{aligned}[/tex].

Answer:

d

Step-by-step explanation:

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

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Answer: y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.

Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.

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Answer:

y = -2x + 4 or y = -2(x - 2)

Step-by-step explanation:

Equation of Line AB

Finding slope (m)

Finding c using point slope equation

Equation

Answer:

The easiest way to do this is to put the line into slope intercept form. This is equal to y = mx + b, where m is the slope and y is the intercept. I'm assuming the point at which the line intercepts the y axis is at (0, 4) The graph isn't numbered, so its hard to tell.

Assuming b = 4, we need to find m

Slope = rise / run

Or

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]

Substitute -2 for y2, 6 for y1, 3 for x2 and -1 for x1

[tex]m = \frac{-2 - 6}{3 - -1}\\ m = \frac{-8}{4}\\m = -2[/tex]

Plug these values in and

[tex]y = -2x + 4[/tex]

When you graph this on desmos, the two points (-1, 6) and (3, -2) are on the graph. Therefore, I'm assuming the y intercept was in fact 4 :)

Answer:

Common Factor is 4.

Step-by-step explanation:

-8b + 4

Both have a 4 in it.

-8b + 4 / 4 = -2b

Answer:

C) 117 Feet

Step-by-step explanation:

The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.

100^2+60^2=c^2

10000+3600=c^2

c^2=13600

c=116.6190379

Round --> 117

Thus the answer, C).

Using an arithmetic sequence, it is found that the 35th value of the sequence is given by: [tex]a_{35} = 1[/tex].

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

Considering that we have the mth term as reference, the nth term is also given as follows:

[tex]a_n = a_m + (n - m)d[/tex]

In this problem, we have that:

[tex]a_{23} = \frac{2}{3}, a_{53} = \frac{3}{2}[/tex].

Hence:

[tex]a_n = a_m + (n - m)d[/tex]

[tex]a_{53} = a_{23} + (53 - 23)d[/tex]

[tex]30d = \frac{3}{2} - \frac{2}{3}[/tex]

[tex]30d = \frac{9 - 4}{6}[/tex]

[tex]30d = \frac{5}{6}[/tex]

[tex]d = \frac{1}{36}[/tex]

Then the 35th term is:

[tex]a_{35} = a_{23} + 12d = \frac{2}{3} + 12\frac{1}{36} = \frac{2}{3} + \frac{1}{3} = 1[/tex]

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Answer: 1 What???

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Answer:

Y=45x

Step-by-step explanation:

Y = f(x)

If you plot a chart, you can find that relation is just a linear relation. So y = mx + c

By putting any one case into the equation, you can find c = 0 and m = 45

Retest the equation for other cases to ensure u are correct

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

Answer:

s = 156.25 square meters

Step-by-step explanation:

s = 2lw + 2lh + 2wh

s = 2(5.5)(3) + 2(3)(7.25) + 2(5.5)(7.25)

s = 33 + 43.5 + 79.75

s = 156.25 square meters

Answer:

We know,

[tex] \quad [/tex][tex]{\boxed{ \rm{Surface \: Area_{ \: (rectangular \: prism)} = 2(lb + bh + hl)}}}[/tex]

where,

[tex] \: [/tex]

[tex] {\longrightarrow { 2 ( 5.5 \times 3 + 3 \times 7.25 + 7.25 \times 5.5 ) }} [/tex]

[tex] \longrightarrow [/tex] 2 ( 16.5 + 21.75 + 39.875 )

[tex] \longrightarrow [/tex] 2 ( 78.125 )

[tex] \longrightarrow [/tex] 156.25

Thus, The Surface Area of rectangular prism is 156.25cm².

[tex] \rule{200pt}{2pt} [/tex]

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{ \sf{\pmb{ \blue{More \: Formula}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Answer:

Step-by-step explanation:

{x,y}={5,-5}

The number of combinations of plays that is possible will be 2.

Let the number of combinations be represented by x.

From the information given, we are informed that the touchdown scores 7 points, a field goal scores 3 points, and a safety scores 2 points.

Therefore, this will be:

7x + 3x + 2x = 24

12x = 24

x = 24/12

x = 2

Therefore, there are 2 combinations.

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Answer:

  12600 cm³

Step-by-step explanation:

The volume of a prism is the product of its base area and height:

  V = Bh

__

For your prism, this product is ...

  V = (630 cm²)(20 cm) = 12600 cm³

The volume of the box is 12600 cm³.

To produce a 75% solution, it is required to add a total of 3.85 ounces of pure salt to the initial solution.

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Answer:

NO!!! Megabytes AREN'T bigger than Gigabytes!

Step-by-step explanation:

Here's the table!

1 Kilobyte = 1,024 Bytes

1 Megabyte = 1,024 Kilobytes

1 Gigabyte = 1,024 Megabytes

1 Terabyte = 1,024 Gigabytes

Answer:

45 ft²

Step-by-step explanation:

Logo 2 comprises 5 congruent squares with side length 1/2 in

Given scale:  1 in = 6 ft

⇒ 1/2 in = 3 ft

Area of a square = s²  (where s is the side length)

⇒ area of one of the squares of logo 2 = (3 ft)² = 9 ft²

Therefore, the total area is:

⇒ area = 5 × 9 ft² = 45 ft²

In equation form:

A = 5(6s)²

where:

Answer:

-6

Step-by-step explanation:

h(x) = −3 |x + 1| evaluate h (-3)

h (-3) means x = -3

Plug in:

h(x) = −3 |(-3) + 1| → h(x) = −3 |-3 + 1|

h(x) = −3 |-2|       since -2 is an absolute value it becomes 2

h(x) = −3(2)

h(x) = -6

Let me know if you have anymore questions,

Good Luck studying :) YOU GOT THIS !!!

The graphs that display the same data are a.  I and II

This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.

Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.

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Answer:

a

Step-by-step explanation:

The value of cos x⁰ from the information given is; g/h.

According to the task content;

The value of cos x° from the information contained in the task content is required.

From conventional Trigonometry;

It follows that tan x = sin x/cos x.

On this note, it follows that;

cos x⁰ = sin x⁰/tan x⁰.

cos x⁰ = 6/h ÷ 6/g

cos x⁰ = g/h

Ultimately, the value of Cos x⁰ by evaluation is g/h.

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Answer:

cos x° = g divided by h

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

essentially the plan that increases the price the most per week reaches the goal of $12 fastest.

plan A is $0.10 per week.

plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.

that means 10% of $8 = $0.80 per week.

plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.

plan D : $0.25 per week.

so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.