8. A cube container, with original volume 64 in. 3, is being redesigned to increase

its capacity. The expression x + 64 in. ? models the volume of the new cube.

If the volume can increase by a maximum of 100 in. 3, what is the maximum

measurement of the edge of the larger cube, rounded to the nearest tenth?

Answer:

obtuse

Step-by-step explanation:

It is obtuse because it is greater than 90 degrees!

Answer:

15N.

Step-by-step explanation:

45 - 30

= 15N.

Answer:

15

Step-by-step explanation:

45N - 30N = 15N

The resultant force on the boat is 15N.

Answer:

12

Step-by-step explanation:

15/10=1.5

8 times 1.5=12

Answer: x = 7

Step-by-step explanation:

Question: If 9x = 63, then x = ?

9x = 63

x = 63/9

x = 7 answer

The value of x is 7.

hope that helps...

Answer:

Another way of saying line M is to say Line X or Y

820 miles

how far the airplane can travel in an hour.

x= v × t

x= 820 × 1

x= 820 miles

so, the airplane can travel 820 miles per hour.

Step-by-step explanation:

Check out the attached photo. Leave a comment if something's confusing.

As both left side is same

There is no solutions .

Answer:

no solutions

Step-by-step explanation:

Given equations:

Rewrite the given equations to make y the subject:

Equation 1

[tex]-x+y=8[/tex]

[tex]\implies y=x+8[/tex]

Equation 2

[tex]2x-2y=-14[/tex]

[tex]\implies 2y=2x+14[/tex]

[tex]\implies y=x+7[/tex]

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

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

As both equations have the same slope, the lines are parallel and therefore there is no solution to the system of equations as the lines do not intersect.

Answer:

Part A: Yes. For every 10 employees, an increase of 80 products produced.

Part B: y = 8x + 120

Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees

Step-by-step explanation:

Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees

Part B: For y = mx + c ,

m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8

c = Y-intercept, when X = 0. Therefore c = 120

Answer:

73.4%

Step-by-step explanation:

First, find the total number of people:

3605+1306=4911 people

The formula for any probability is:

Part / Whole

3605 respondents out of the total 4911 people say they use a social networking site

3605/4911 = 0.7341

Multiply this by 100 to get a percent

Thus, 73.4%

Answer:

Alex has £44

Pierre has £66

Step-by-step explanation:

P = A + 20

P+ 22 = 2A

solve for A

plug in p

(A + 20) + 22 = 2A

A + 44 = 2A

subtract A from both sides

44 = A

solve for P

plug A in

P = 44 +22

P = 66

Pls give brainlyist

Answer:

27 pi in^3

Step-by-step explanation:

volume of the cone

= 1/3 x pi x r^2 x h

= 1/3 x pi x(3)^2 x (9)

= 27 pi in^3

Answer:

Step-by-step explanation:

Answer: C (0,5)

Step-by-step explanation:

So firstly you're going to try to solve the inequality, so what I did first is used the second equation because if I divide both sides by 3, I'm able to get the y by itself:

6x+3y>/=15, 6/3=2, 3/3=1, 15/3= 5

So now its: 2x+y>/=5

now I should get the y by itself by subtracting 2x from both sides to get

y>/=15-2x, now if we wanted to plug it in to the top equation, we could make it as, y=15-2x because the it is GREATER THAN OR EQUAL TO.

so to plug it in to the first equation we get:

6x-2(15-2x)<10,

x<4, to find y we just plug it in to any equation now we have x, so I did

6(3)-2y<10

18-2y<10

-18        -18

-2y<10

divide both sides by -2 (flips the equation sign)

y>4,

So take consider both X and Y values, C would be correct because X is less than four and 0 is less than four, and 5 is greater than four.

Step-by-step explanation:

1) C

2) B

5) C

6)D

7) D

8) B

9) Figure not clear

10) C

11) D

12) B

13) D

14) A

15) D

P.S try to do ur own tests

Answer:

7176

Step-by-step explanation:

23 is a prime factor.

3 & 13 are the prime factors of 39.

2, 2, & 2 are the prime factors of 8.

Determine the max. number of times each prime factor occurs.

Calculate: 2^3 x 3 x 13 x 23 = 7176

Answer:

7,176

Step-by-step explanation:

The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176

Hope this helps!

Answer:

the first

Step-by-step explanation:

the first and the second set both multiply out correctly to the original expression, but -2x² is of greater dimension than -2x.

Answer:

Below in bold.

Step-by-step explanation:

1) 2x^2 -3x -9

 2 * -9 =  -18. We need 2 numbers whose product is -18 and whose sum     is -3. They are -6 and + 3. So:

= 2x^2 - 6x + 3x - 9

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

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

2) 3x^2 + 5x +2​

Now 3 * 2 = 6   We need to numbers whose product is + 6 and whose  sum is +5.  Theres are + 3 and + 2>

= 3x^2 + 3x + 2x + 2

= 3x(x + 1) + 2(x + 1)

= (3x + 2)(x + 1)

=

Answer:

318

Step-by-step explanation:

find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle

Answer:

318 mi²

Step-by-step explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 1 triangle and 2 rectangles (see attachment).

Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22

                             = 1/2 x 19 x 22

                             = 209 mi²

Area of Rectangle 2 = 5 x (11 + 6)

                                  = 85 mi²

Area of Rectangle 3 = 4 x 6

                                  = 24 mi²

Total area = 209 + 85 + 24 = 318 mi²

Answer:

23/42 or 0.547619048

Steps are given below in the picture

I hope my answer helps you.

Since AC = BC, we can say that this triangle is isoceles (at C)

In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.

Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/

Answer:

nearly like 63 or 66

Step-by-step explanation:

use the protractor.

Answer:

1/8

Step-by-step explanation:

This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.

The probability of flipping tails is 1/2. We need three of these.

1/2 x 1/2 x 1/2 = 1/8

Answer:

Be a wise girl or guy, Give math a try!

Step-by-step explanation:

Answer:

Perimeter = 2(length + width) = 2(235 + 150).

Cost = perimeter times $1.69

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of Hamburgers and Cheeseburgers = 394

Let the number of hamburgers = x

x + x - 56 = 394                           Combine the left

2x - 56 = 394                               Add 56 to both sides

2x - 56 + 56 = 394 + 56              Combine

2x = 450                                       Divide both sides by 2

2x/2 = 450/2

x = 225

Answer

Answer:75,

Step-by-step explanation:

1/2 bh= A for one T 5*5=25 25*6= 150

150/2=75

OR

5*5/2=12.5

12.5*6=75

Answer:

  simplify the radical

Step-by-step explanation:

You have shown the solution using the quadratic formula.

The final step is to simplify the radical expression. That is done by factoring out perfect squares and simplifying the fraction.

  [tex]x=\dfrac{\pm\sqrt{120}}{12}=\dfrac{\pm\sqrt{2^2\cdot30}}{12}=\dfrac{\pm2\sqrt{30}}{12}\\\\x=\dfrac{\pm\sqrt{30}}{6}=\left\{\dfrac{1}{6}\sqrt{30}\,,\ -\dfrac{1}{6}\sqrt{30}\right\}[/tex]

_____

Additional comment

0 is the additive identity element, so adding or subtracting zero changes nothing.

  [tex]0\pm\sqrt{120}=\pm\sqrt{120}[/tex]

Answer:

2.5%

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

Substituting given values into the formula and solving for r:

⇒ 60 = 800 · r · 3

⇒ 60 = 2400r

⇒ r = 0.025

Converting r to percentage:

0.025 × 100% = 2.5%

Answer:

2.5%

Step-by-step explanation:

Given:

Formula:

Simple interest = (Principle × Rate × Time)/100

Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.

[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]

Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.

[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]

[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]

Simplify both sides of the equation:

[tex]\implies60 ={ 24\times \text{Rate}}[/tex]

Divide both sides by 24.

[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]

Simplify both sides as needed:

[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]

[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]

[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]

Thus, the rate of interest per annum is 2.5%.

Answer:

[tex]x(2) + 5\\[/tex]

The number is 8 because [tex]8 * 2 = 16[/tex]

And if you add 4, you get 20

Hence, the number is 8

Answer:

8

Step-by-step explanation:

let the number be x

=>               2x+(x/2) = 20

=>               4x+x/2 = 20

=>               5x/2 = 20

=>               5x = 20*2

=>               5x = 40

=>               x = 40/5

=>               x = 8

can i get brainliest