Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?




7 inches
11 inches
15 inches
5 inches

Need help Bad

Answers

Answer 1

Answer:

D) 5 inches

Step-by-step explanation:

Given

A box with the volume of 150 in³

Dimensions of the box are

2, x and x + 10, where x- width, (x + 10) - length

The volume of the box is

V = lwh

Substitute the values and solve the equation for x

x(x + 10)*12 = 150x(x + 10) = 75x² + 10x - 75 = 0x² - 5x + 15x - 75 = 0x(x - 5) + 15(x - 5) = 0(x - 5)(x + 15) = 0x - 5 = 0 or x + 15 = 0x = 5 or x = - 15 (discarded as negative value)

The width of the box is 5 in

Correct choice is D

Related Questions

Mark brainlist to whoever answers first

Answers

Answer:

The reflection over the y-axis means that we just multiply the x-value of the coordinates by -1.  So we take (4, 0) and get the x-value of 4 and multiply it by -1 which gives us (-4, 0) which is option C.

Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(Use all capitals in your answer)

Answers

Answer:

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2), find the range.

A. {10, 6, 15)
B. {2, 14)
C. {-4, 0, 8}
D. {2, 6, 14}

Answers

Answer:

D

Step-by-step explanation:

Start by plugging in all the domain values (domain means input) into the function.

f(-1) = 4(-1) + 6 =-4+6=2

f(0) = 4(0) +6=0+6= 6

f(2) = 4(2) +6 = 8+6=14

5x
4x
What is the value of x? (3 ponts)
_/3

Answers

Step-by-step explanation:

I assume the 2 vertical lines are parallel.

then the 2 angles 5x and 4x are around the intersection point of both lines (since parallel lines simply mimic the behavior of each other, the angles must be the same).

that means 4x is also the angle under the indicated 5x angle, and 5x is also the angle under the indicated 4x angle.

and that simply means that 5x and 4x supplement each other to 180° (as all angles around a single point on one side of a line represent a half-circle and therefore 180°).

so,

5x + 4x = 180

9x = 180

x = 20

A bag contains 9 marbles: 2 are green, 3 are red, and 4 are blue. Raina chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are red? Write your answel as a fraction in simplest form.

Answers

Answer:   1/12

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

Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

What areC12, C31, and C22 of matrix C?

Answers

Compute the sum to simplify C :

[tex]C = \begin{bmatrix}16-0.5 & 9+0 \\ -3+5 & 0 + 8 \\ 4-3 & -10+14\end{bmatrix} = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ 1 & 4\end{bmatrix}[/tex]

Now, [tex]c_{ij}[/tex] is the entry of the matrix in row i and column j, so

[tex]C = \begin{bmatrix}15.5 & \boxed{9} \\ 2 & 8 \\ 1 & 4\end{bmatrix} \implies c_{12} = 9[/tex]

[tex]C = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ \boxed{1} & 4\end{bmatrix} \implies c_{31} = 1[/tex]

[tex]C = \begin{bmatrix}15.5 & 9 \\ 2 & \boxed{8} \\ 1 & 4\end{bmatrix} \implies c_{22} = 8[/tex]

A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish in feet?

Answers


18-12 is 6 then add 45 to it, it’s obviously 51 foot this is 3rd grade math

Marcus states that the polynomial expression 3x3 – 4x2y y3 2 is in standard form. ariel states that it should be y3 – 4x2y 3x3 2. explain which student is correct and why.

Answers

The correct student is Marcus because the power of the polynomial decreases till  0

How to determine the correct student?

The polynomial expressions are given as:

Marcus: 3x³ - 4x²y + y³ + 2

Ariel: y³ - 4x²y + 3x³ + 2

The standard form of a polynomial with the variable x is:

P(x) = ax³ + bx² + cx + d

This means that the power of the polynomial decreases till it gets to 0

Using the above form as a guide, the correct student is Marcus.

Marcus is correct because the power of the polynomial decreases till it gets to 0

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PLS HELP!!
What is the measure of ZXYZ?
A. 63°
B. 54°
C. 252°
D. 126°

Answers

Im pretty positive it’s A =63 lmk if i helped

The triangular prism below has a base area of 31 units^2

and a volume of 310 units^3

Find its height.

Answers

Given:[tex] A_{B} = 31 \: {units}^{2} [/tex][tex]V = 310 \: {units}^{2} [/tex]To find:

The height of the given triangular prism.

Solution:

[tex]h = \frac{V}{ A_{B}}[/tex]

[tex]h = \frac{310}{31} [/tex]

[tex]\large\boxed{\sf{h=10 \: units}}[/tex]

Therefore, the height of the given triangular prism is 10 units.

h= 310/31

h= 10 units

hope this helps

There are 27 animals in the barn. Some are geese and some are horses. There are 90 legs in all. How many of each animal are there

Answers

Answer:

There are 9 geese and 18 horses.

Step-by-step explanation:

Step 1: Make equations.

g ... number of geese

h ... number of horses

First equation: There are 27 animals in the barn.

g + h = 27

Second equation: There are 90 legs in all.

We know geese have two legs and horses 4.

2g + 4h = 90

Step 2: Solve the system of equations.

g + h = 27 (first equation)

2g + 4h = 90 (second equation)

Let's express g in terms of h in first equation.

g + h = 27

g = 27 - h

Now let's substitute g in second equation with g in first equation.

2g + 4h = 90

2(27 - h) + 4h = 90

And solve for h.

54 - 2h + 4h = 90

54 + 2h = 90

2h = 90 - 54

2h = 36

h = 18

Let's substitute the value of h back to first equation to get g.

g = 27 - h

g = 27 - 18

g = 9

If m<1 = 40 degrees , what is m<2 m<3 and m<5

Answers

Answer & step-by-step explanation:

Corresponding Angles:   m∠1 = m∠5;  m∠2 = m∠6;

                                          m∠3 = m∠7;  m∠4 = m∠8

Alternate Interior Angles: m∠3 = m∠6;  m∠4 = m∠5

Alternate Exterior Angles: m∠1 = m∠8;  m∠2 = m∠7

As you can see on the picture below:

а
The volume of a container is 576 cubic feet.
The height is 6 feet; the width is 8 feet; find
the length.

Answers

Answer: 48 feet

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

Containers are generally in the shape of a rectangular prism.

Formula

Volume = Length x Width x Height576 = 8 x 6 x LengthLength = 576/48Length = 12 feet

You buy milk that contains 180 calories per 2 cups. use a ratio table to find the number of calories in 16 cups.

Answers

There are 1,440 calories in 16 cups.

16 / 2 = 8

180 x 8 = 1,440

PLS HELP ME I ONLY HAVE # HOURS TO COMPLETE I WILL MARK THE BRAINLIEST!!!

Answers

triangle on right is the same as the triangle on the left

use pythagorean theorem

hypotenuse will give to the sides of the rectangle

a^2 + b^2 = hypotenuse squared

10.4^2 = 108.16

15.3^2 = 234.09

342.25 = hypotenuse squared

take the square root in both sides

hypotenuse = the square root of 342.25 =

18.5

add up the areas of the 2 triangles and rectangle

triangle area is 1/2 times 10.4 times 15.3 =

79.56

2 triangles areas are 159.12

rectangle area is 18.5 × 7 = 129.5

159.12 + 129.5 = 288.62

answer 1 = 288.62

second question:

to get 1 side take the

square root of 702.25 which is

26.5

to get the perimeter

multiply 26.5 by 4 which is

106

answer 2 is choice B 106

What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)? 2 x superscript 4 baseline minus 3 x cubed minus eleven-halves 2x2 x – 3 – startfraction 6 over x squared minus 2 x 1 endfraction 2x2 – x 2x2 x – 3

Answers

The answer choice which represents the quotient of the polynomials given is; 2x² +x -3.

What is the quotient of the polynomial division?

According to the task content, the quotient of the polynomial division; (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is required;

Hence, it follows from long division of polynomials that the required quotient is; 2x² +x -3.

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Answer:

D: 2x² +x -3

Step-by-step explanation:

Find the area of a circle with a radius of 9. Leave the answer in terms of π.

Answers

Answer:

A = 81π units²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 9² = 81π units²

Find uv.
v
u
640
10
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uv =

Answers

The value of uv to the nearest tenth or as an integer is 3.1 units

How to find side of a right triangle?

uv is the adjacent side of the right triangle.

uv can be found using trigonometric ratios as follows:

Therefore,

tan 63 = opposite / adjacent

Hence,

tan 63 = 6 / adjacent

cross multiply

uv tan 63 = 6

divide both sides by tan 63

uv = 6 / tan 63

uv = 6 / 1.96261050551

uv  = 3.05716906145

uv = 3.1 units

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PLEASE HELP THIS IS WORTH 100 POINTS
You will not be writing a complete argumentative essay.



Topic question: Should violent video games be banned?

Instructions: You will organize an argument for banning violence from teens’ video games because violent video games are harmful. Read the evidence below and then organize your argument. (Copy and paste the outline below into the feedback box and add your information.)



Argument Organizer



Claim:
In your own words

Reason 1:
In your own words

Support for Reason 1:
Quote from the evidence below

Reason 2:
In your own words

Support for Reason 2:
Quote from the evidence below

Counterclaim:
What is the opposing point of view

Rebuttal Support:
Quote from the evidence below

Conclusion Clincher:
Negative effects that will occur if your readers do not follow your claim
____________________________________
EVIDENCE 1



Negative Effects of Violent Video Games



In studies conducted by neuroscientists, it was found that teens who regularly play violent video games have lower rates of success in school than teens who do not play violent video games. The same parents who ban violent televisions shows from being watched in their homes must also be careful about the types of video games their teens play. Teens love their games, but their future is at stake.

____________________________________
EVIDENCE 2



Negative Effects of Violent Video Games



Fights among best friends and disagreements with peers are a natural part of a teen's daily life, but studies have consistently shown that teens who play violent video games on a regular basis are more aggressive with peers than teens who do not play these games. Is society willing to ban these violent games to support teen relationships?

Excerpt from "Adolescent Health Sociology Journal
____________________________________
EVIDENCE 3



Negative Effects of Violent Video Games



A study conducted by teen psychologists found that teens who regularly play violent video games are more prone to having fights and confrontations with adults at home, school and work. Teens want the freedom to play games of their choice, but they need to be aware of the dangers.

Study by Anderson, Gentile and Buckley (2007)

Answers

Answer:

No

Step-by-step explanation:

Violent video games should not be ban because violent video games improve your skills, there is less violence, and banning violent video games is against the fourteenth amendment. Violent video games strengthens and coordinate visual skills.

Some ideas!

Answer:

hey

Step-by-step explanation:

Round 381,726 to the nearest thousand

Answers

Hello the answer is. 382,000 if the number you’re trying to round is followed by a 5 or greater then you are going to round up. I hope this helps!

can someone help me with this thank you
10+5h = 25
thank you thank you thank you

Answers

Answer:

h=3

Step-by-step explanation:

Here's the explanation

Move 10 to the other side

5h=25-10

5h=15

h=15/5

h=3

10+5h=25

10+5h-10=25-10

5h=15

[tex]\frac{5h}{5}=\frac{15}{5}[/tex]

h=3

the answer is 3

For Which distributions is the median the best measure of center?

Select each correct answer

Answers

Answer: 6, 6, 9 and 25

Step-by-step explanation:

bbringingbbringingout the data's from the graph and arrangementsarrangingarrangingarrangementsarrangingarranging them serially that's from smallest to biggest biggest, then selecting the middle number if the number of entire entries is an odd number but if it's an even number you take the average of the two middle number

PLEASE HELP ASAP!!!
(k12 students appreciated!!)

What are the zeros of the function?
ƒ(x)= x^3+x^2-6x

Answers

Answer: x = 0, x = -3, x = 2

Step-by-step explanation:

f(x) = x^3 + x^2 - 6x

f(x) = 0

x^3 + x^2 - 6x = 0

x(x^2 + x - 6) = 0

x = 0 or

x^2 + x - 6 = 0

D = b^2 - 4ac = 1 - 4*(-6) = 25

x = (-b - sqrt(D))/(2a) = (-1 - 5)/2 = -3 or

x = (-b + sqrt(D))/(2a) = (-1 + 5)/2 = 2

Using the image above, what is the measure of Angle L? Round to the nearest hundredth

Answers

Answer:

you can approximate it to 61°

simplify PLEASE HELP ASAP

Answers

Answer:

[tex]0 < x < 6[/tex]

Step-by-step explanation:

This question asks to solve an inequality which can be written as:

[tex]\sqrt{x^2-6x+9} < 3[/tex]

Solve for x:

[tex]\sqrt{x^2-6x+9} < 3\\x^2-6x+9 < 9\\x^2-6x < 0\\x(x-6) < 0[/tex]

From here we can deduce that the inequality is [tex]0[/tex] when:

[tex]x = 0[/tex] or [tex]x = 6[/tex]

We can write the solution as:

[tex]0 < x < 6[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 3x - 3x+ 9 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{}(x - 3) - 3(x - 3) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x - 3)(x - 3) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x - 3) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: { (x - 3) {}^{} } [/tex]

Now, we have been given that value of x :

[tex]\qquad \sf  \dashrightarrow \:x < 3[/tex]

So, let's plug the value of x as 3 in the given expression ~

[tex]\qquad \sf  \dashrightarrow \:3 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:0[/tex]

Therefore, we can conclude that :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } < 0[/tex]

Value of the expression should be less than 0

12 + 5 + 32 × 10 − 5 =
(12 + 5) + 32 × (10 − 5) =

Answers

Exercise number 1.12 + 5 + 32 × 10 − 5

Add 12 and 5 to get 17.

17 + 32 × 10 − 5

Multiply 32 and 10 to get 320.

17 + 320 − 5

Add 17 and 320 to get 337.

337−5

Subtract 5 from 337 to get 332.

332 ===> Answer

Exercise number 2.(12 + 5) + 32 × (10 − 5)

Add 12 and 5 to get 17

17 + 32 (10 − 5)

Subtract 5 from 10 to get 5.

17 + 32 × 5

Multiply 32 and 5 to get 160.

17+160

Add 17 and 160 to get 177.

177 ===> Answer

Which equation is graphed here?


y−1=−13(x−1)

y−1=−13(x+1)

y+4=3(x−1)

y−4=−3(x+1)
Number graph ranging from negative four to four on the x and y axes. A line is drawn on the graph that passes through (negative one, four) and (one, negative two).

Answers

Answer: Choice D

y-4 = -3(x+1)

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

Explanation:

Let's first find the slope of the line through (-1,4) and (1,-2)

[tex](x_1,y_1) = (-1,4) \text{ and } (x_2,y_2) = (1,-2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-2 - 4}{1 - (-1)}\\\\m = \frac{-2 - 4}{1 + 1}\\\\m = \frac{-6}{2}\\\\m = -3\\\\[/tex]

The slope is -3, which tells us that the answer must be choice D.

Choices A,B, & C can be eliminated because choices A and B have a slope of -13, while choice C has a slope of 3.

Refer to the point-slope format [tex]y-y_1 = m(x - x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point the line goes through.

What is the sum of the interior angles of a polygon that has 6 sides

Answers

Answer:

720

Step-by-step explanation:

A polygon with 6 angles is called a hexagon

To find the sum of interior angles, we use the following formula:

(n-2)*180 (n is the number of angles)

4*180 = 720

Numbers are written on the back of calenders that are given out to customers at a grociery store. Each month a number is drawn for a customer to win a gift card. Is it a random sample or a sample and why

Answers

Answer:

yo whats your name i think that we are from the same class

Step-by-step explanation:

kite EFGH is graphed on the coordinate plane. three of its verticies are E(1,6), F(3,5), and G(4,-3). what are the coordinates of the fourth vertex, H?

Answers

The coordinates of the fourth vertex, H is; (-6.056, 7.302)

How to find the Coordinates of a Kite?

A kite has 4 sides and we know that a pair of diagonally opposite angles of a kite are said to be congruent.

We are given the coordinates of its' vertices as;

E(1,6), F(3,5), and G(4,-3).

The two diagonals are perpendicular;

Slope of EG = (-3 - 6)/(4 - 1)

Slope of EG = -9/5

Equation of line passing through G is;

y = mx + c

-3 = -9/5(4) + c

-15 = -36 + 15c

c = 51/15 = 17/5

y = (-9/5)x + 17/5    ------(1)

Equation of line passing through F is;

y = mx + c

6 = (5/9)(1) + c

54 = -9 + 9c

c = 7

y = (5/9)x + 7   -----(2)

Solving eq 1 and eq 2 simultaneously gives;

x = -1.528 and y = 6.151

If (a, b) are coordinates of vertex H, then;

(a + 3)/2 = -1.528 and (b + 5)/2 = 6.151

Thus;

a = -6.056 and b = 7.302

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