solve for x.
this is for the k12 test.​

Answer:

A. 11160 cubes B. 1395cm^3

Step-by-step explanation:

Volume= length x width x height

Its easiest to solve B. first and use it to solve A.

B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)

A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)

1395 ÷ 1/8 = 11160

Answer:

Step-by-step explanation:

1) Rectangular prism:  l = 7.5 cm ; w = 12 cm ; h = 15.5cm

Volume of rectangular prism = l * w * h

Cubes: edge = 0.5cm

Volume of cube = edge *edge * edge

Number of cubes = Volume of rectangular prism ÷ Volume of a cube

                             [tex]=\frac{7.5 * 12 * 15.5}{0.5*0.5*0.5}\\\\ = \frac{7.5 * 12 * 15.5*1000}{0.5 *0.5 *0.5 *1000}\\\\= \frac{75 * 12 *155 * 10}{5 * 5 * 5}\\\\= 3 * 12 * 31 * 10\\\\= 11160[/tex]

11160 cubes will fit in the prism.

2) Volume of prism = 7.5 * 12 * 15.5

                               = 1395 cm³

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

[tex]y=2x+3[/tex]

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

[tex]y-1=2\left(x-\left(-1\right)\right)[/tex]

[tex]y-1=2\left(x+1\right)[/tex]

Add 1 to both sides

[tex]y-1+1=2\left(x+1\right)+1[/tex]

Simplify

[tex]y=2x+3[/tex]

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

[tex]y=2x+3[/tex]

Hence, option D is true.

Answer:

(f - g)(x) = x² + 12x + 26

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 12x + 32

g(x) = 2 + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \ frac{1}{n}}}[/tex]

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

[tex]\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}[/tex]

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

That is when we flip the numbers they are found to be in Arithmetic Progression .

And nth term of an Harmonic Progression is :-

[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}[/tex]

Hence here

Substituting the respective values,

[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]

Answer: 1

Step-by-step explanation:

Answer:

112 seconds

Step-by-step explanation:

According to my calculations girl here to tell you how.

40*14=560

560/5=112

if 14 is hours and 40 is minutes, multiplying and dividing by five gives you

*DRAMATIC MUSIC*

112 seconds

Answer:

176 minutes

Step-by-step explanation:

14 hours equals 840minutes + 40 minutes = 880 minutes

880/5=176

Answer: 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35

Step-by-step explanation: i took the diagnostic

Answer:

5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35

Step-by-step explanation:

Answer:

y = 33 / 15 = 11 /5

Step-by-step explanation:

subtract 3 from both sides,

15y = 33

divide 15 from both sides

y = 33/15

simplify ( divide top and bottom by 3)

y = 11/5

Answer:

its 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x= -4

f(x)= -4

f(-4)= -3(-4) -1

=11

Answer:

A: x=6

Step-by-step explanation:

Answer:

graph attached

Step-by-step explanation:

12x+9y=-36

(12x+9y)/3=-36/3

4x+3y=-12

2 functions has the same value, they are identical line

Answer:

Yes, it will cost $204.30.

Step-by-step explanation:

Given that in May 2007 the price of a barrel of crude oil was $ 61, and a year later it rose to $ 126, to determine the rate of increase we must perform the following calculation:

61 = 100

126 = X

(126 x 100) / 61 = X

206.55 = X

206.55 - 100 = 106.55

Therefore, a barrel of crude oil rose 106.55% in one year, which implies a rise of 8.87% per month (106.55 / 8.87). Given that December is 7 months apart, maintaining this average increase, the price of a barrel of crude oil in December 2008 arises from the following calculation:

8.87 x 7 = 62.15

126 x 1.6215 = 204.30

Therefore, maintaining this average increase, as of December 2008 a barrel of crude oil will cost $ 204.30.

Answer:

y= -x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 calculate rise over run

Answer:

The actual distance between cities = 345 miles

Step-by-step explanation:

Given that:

Scale on map is

1/2 inch = 30 miles

0.5 inch = 30 miles

Distance between two cities on map = [tex]5\frac{3}{4}[/tex] = [tex]\frac{23}{4}[/tex] = 5.75 inches

Actual distance = x

As the relationship is proportional

0.5 : 30 :: 5.75 : x

Product of mean = Product of extreme

30*5.75 = 0.5x

172.5 = 0.5x

0.5x = 172.5

Dividing both sides by 0.5

[tex]\frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345[/tex]

Hence,

The actual distance between cities = 345 miles

Answer:

it's answer is 2

Step-by-step explanation:

take the reference angle as 60°

base (b) = x

hypotenuse (h) = 4

Now

cos 60 ° = b / h

1/2 = x / 4

1/2 * 4 = x

Therefore x = 2

Hope it will help :)❤

Given:

A 4 sided dice is rolled.

To find:

The probability of getting 1.

Solution:

A 4 sided dice is rolled.

On a 4 sided dice, the possible outputs are 1,2,3,4.

Total number of outcomes = 4

Favorable outcomes or number of 1 = 1

Now,

[tex]\text{Probability of getting 1}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]\text{Probability of getting 1}=\dfrac{1}{4}[/tex]

[tex]\text{Probability of getting 1}=0.25[/tex]

Therefore, the probability of getting 1 is 0.25.

Answer:

7x-10

Step-by-step explanation:

Answer:

p=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

[tex] - 3p = - 48 \\ \\ p = \frac{ - 48}{ - 3} \\ \\ p = 16[/tex]

Answer: c) -4

Step-by-step explanation:

Get the variables on one side of 3x+y=-2x+8 and the constants on another side:

3x+y=-2x+8

(3x+y)+2x=(-2x+8)+2x

5x+y=8

Now, multiply 5x+y=8 by -2:

-2(5x+y=8)

-10x-2y=-16

Add this equation to -3x+2y=-10:

(-10x-2y=-16)+(-3x+2y=-10)

-13x=-26

x=2

Plug x=2 into -3x+2y=-10:

-3(2)+2y=-10

-6+2y=-10

2y=-4

y=-2

Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4

Answer:

number of guest tickets, g, is 100 tickets

number of student tickets, s, is 125 tickets

Step-by-step explanation:

Given;

total number of tickets sold, t = 225 tickets

cost of each guest ticket,  = $5.5

cost of each student ticket, = $3.5

total cost of the tickets, Tc = $987.5

number of guest tickets = g

number of student tickets, = s

g(5.5) + s(3.5) = 987.5 ------- (1)

g + s = 225 ----------- (2)

From equation (2); s = 225 - g

Substitute the value of g in equation (1)

5.5g + 3.5(225 - g) = 987.5

5.5g + 787.5 - 3.5g = 987.5

5.5g - 3.5g = 987.5 - 787.5

2g = 200

g = 200 / 2

g = 100 tickets

Then, s = 225 - g

s = 225 - 100

s = 125 tickets

Answer:

Step-by-step explanation:

56 divided by 15 equals 3.5, so it's 3.5:1

Answer:

I believe its 45%

Step-by-step explanation:

Answer: 600m

Step-by-step explanation: i didnt know if you wanted meters or feet or sum else so i just did that

Answer:

13

Step-by-step explanation:

Answer: ↓↓

Step-by-step explanation:

The original value of the cellphone is $650. The function represents an exponential decay because if it was exponential growth, the function would look like this:

[tex]V (x) = 650 (1.77)^{x}[/tex]

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

i believe the answer is either A or D

Answer:

-6 x less than or equal to 8

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

Answer: y=8

Step-by-step explanation:

3/2=12 so first thing we want to do is multiply the bottom of the fraction and that leaves us with 3=24 then we divide and we get y=8 (that is what i   beign thaught hope this helps in some way)

Answer:

A.

Step-by-step explanation:

I just took the test:) I’m pretty sure it’s right

Answer:

Its A.

Step-by-step explanation:

I did the test and can confirm. :)