Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Thanks so much!!

Answer:

-10 1/2

Step-by-step explanation:

-2 2/5 times 4 3/8

Turn fractions into mixed numbers: -12/5 and 35/8

Cross multiply: -12/5 times 35/8= 21/2

Turn fraction back into proper fraction: -10 1/2

Step-by-step explanation:

cars= 8, 24

trucks= 20

total ($)=

pounds=5

calories=

Answers and Step-by-step explanations:

(Answers are all bold-ed and underlined.)

For these problems, they are asking you to fill in the blanks by noticing and by trying to find a pattern. In order to determine what the values are, this will require multiplication and division.

Table 1:

For the cars side, we can notice that that side of the table is going by 4's. Because 4, 12 and 16 are all multiples of 4. So, let's fill in this side.

Cars:

4

8

12

16

20

And, if we look at the trucks side, we can also notice a pattern of 5's. The numbers 5, 10, 15, and 25 are all multiples of 5. Now we can fill in the trucks side.

Trucks:

5

10

15

20

25

We can notice a pattern that both sides of the equation are being multiplied by 1, 2, 3, and so on (4x1=4, 4x2=8, 4x3=12...).

Table 2:

This table requires a little bit more work. We are going to need to do division for this problem. First, let's pick a value on the "Total ($)" side. From there, we can then take the "Pounds" side and use that to find the rest of the answers. Because 1.50 is the number below the first column, it will be the easiest to use to find what goes in that first column. And because we are using this column, we also have to use the "Pounds" side as well. So our equation will look something like this:

1.50 ÷ 2 = 0.75

So we can now place this in the first column. We can now use this to fill out the rest of the table. Because 0.75 x 2 = 1.50, then we can conclude that those pounds represent what we are multiplying the 0.75 by.

Total ($):

0.75

1.50

2.25

3.00

6.00

For the pounds side all we have to do is divide the Total ($) sides by the 0.75 to get our answer.

Pounds:

1

2

3

4

8

Table 3:

This table shouldn't be very hard since it already gives us the first value. All we do is just multiply the cookies by the calories to get our answers for the Calories side.

Second column: 35 x 2 = 70, and so onto the rest of the columns.

Calories:

35

70

140

280

350

____________________________________

I hope that this helps.

Answer:

  a) x = -2

  b) 8 integer values

Step-by-step explanation:

Matthew's solution is correct as far as it goes. However, he failed to take into account the possibility of negative square roots.

His solution might rightly look like ...

  3 < 3x² ≤ 75

  1 < x² ≤ 25 . . . . . divide by 3

  1 < ±x ≤ 5 . . . . . . take the square root

Separating the results:

  1 < x ≤ 5

  -1 > x ≥ -5 . . . . . . multiply by -1

The value x=-2 shows Matthew's solution is incorrect:

  3 < 3(-2)² ≤ 25   ⇒   3 < 12 ≤ 25 . . . true

__

x can have the integer values {-5, -4, -3, -2, 2, 3, 4, 5}, a total of 8 values.

__

In the attached, the white space (and dashed line) are the solution set. The shaded areas (and solid line) are excluded from the solution set.

_____

Additional comment

It can be helpful to remember that ...

  [tex]\sqrt{x^2}=|\,x|\ne x[/tex]

That is, values of x may be negative, but the positive square root will only show you a positive value.

Answer:

-8

Step-by-step explanation:

136/-17 when simplified because -10-7=-17 then plug into a calculator and you get -8

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Given equations:

x+y=7

x = 5 .........given that x is 5

--------------------------------------------------------------------

5 + y = 7  ...............replace x as 5 here.

y = 7 - 5

y = 2

[tex]\huge\boxed{\boxed{Hello\:there!}}[/tex]

We are given the slope of the line and its y-intercept, so we can easily determine its equation.

Since we have the slope and the y-intercept, we can write the equation in slope-intercept form.

Slope-Intercept form looks like so:

y=mx+b

Where m is the slope and b is the y-intercept.

Slope: -1

Y-intercept: -5

Equation: y=-1x-5

y=-x-5 (Answer)

Hope it helps! Enjoy your day!

Please feel free to ask if you have any doubts.

-Sparkles-

Answer:

total area: 141 in²

Step-by-step explanation:

area of the figure: area of two triangles together + area of trapezium

area of the figure: 1/2 * base * height + 1/2 * ( a + b ) * height

area of the figure: 1/2 * 6 * 8 + 1/2 * ( 10 + 16 ) * 9

area of the figure: 24 + 117

area of the figure: 141 in²

Step-by-step explanation:

hope it helps,plss correct me if im wrong

The expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.

A simplified expression is an expression that is evaluated to its simplest form, that is, it cannot be simplified further.

Given:

(6x - 2) - (-x + 5)

Open the bracket by multiplying each of the terms in (-x + 5) by the negative sign (-):

6x - 2 + x - 5

Combine like terms

7x - 7

Thus, the expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.

Learn more about simplified expressions on:

https://brainly.com/question/25802006

Answer:

1:4

Step-by-step explanation:

15 - 3 = 12

3:12 = 1:4

Answer:

1:5

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

[tex] \frac{5}{ {3b}^{3} - {2b}^{2} - 5 } = \frac{2}{ {b}^{3} - 2 } \\ 5( {b}^{3} - 2) = 2( {3b}^{3} - {2b}^{2} - 5) \\ {5b}^{3} - 10 = {6b}^{3} - {4b}^{2} - 10 \\ 10 - 10 = {6b}^{3} - {5b}^{3} - {4b}^{2} \\ 0 = {b}^{3} - {4b}^{2} \\ 0 = {b}^{2} (b - 4) \\ [/tex]

b = 0 or b - 4 = 0

b = 0

b = 4

1. Observe problem

2. Plug in values

|-54|+30=

54+30=

84

Answer:

2x2x2x7 is 56, 2^2x3x7 is 84, and 2x2x2x13 is 104.

Step-by-step explanation:

Here mark the angles

By using angle sum property

So

So

Answer:

IH < GI < GH < FH < FG

Step-by-step explanation:

Find missing angles

Sum of interior angles of a triangle = 180°

⇒ ∠GFH = 180 - 55 - 75 = 50°

⇒ ∠IGH = 180 - 59 - 63 = 58°

Side lengths in relation to interior angles

The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.

Therefore, angles/sides in order of least to greatest:

ΔIGH

∠IGH = 58  →   its opposite side is IH

∠GHI = 59  →   its opposite side is GI

∠G|H = 63  →   its opposite side is GH

Therefore,  IH < GI < GH

ΔFGH

∠GFH = 50  →  its opposite side is GH

∠FGH = 55  →   its opposite side is FH

∠FHG = 75  →   its opposite side is FG

Therefore, GH < FH < FG

Combining:  IH < GI < GH < FH < FG

Answer:

21 in. squared

Step-by-step explanation:

Answer:

100 ft

Step-by-step explanation:

1 yd = 3 ft

Gena: 12 yd= 36 ft

Alicia: 10 yd and 4 ft= 34 ft

Lyona: about 10 yd= 30 ft

36 + 34 + 30 = 100

Answer:

13

Step-by-step explanation:

The biggest number minus the smallest number.

Answer:

13

Step-by-step explanation:

the highest value is 45

the lowest value is 32

subtract them from each other and you get 13

Answer:

513.954016

Step-by-step explanation:

If what you mean was (6^5/7^3)^2 than:

(6^5/7^3)^2 is equal around 513.954016

Answer:

17.5

Step-by-step explanation:

9, 12, 12, 15, 16, 19, 19, 21, 24, 24

16 + 19 = 35 divided by 2 = 17.5

Answer:

6 1/2

Step-by-step explanation:

i don't know the rest but I know that that one might be 6 1/2

Answer:

-The graph crosses the y-axis at the point (0,0)

None of the given options is correct

A graph crosses the y-axis at the point (0,y).This means that the graph will cross the y-axis when x-=0

To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x

substitute x=0 into the equation y-9x to find the corresponding value of y

That is,

y=9(0)

y=0

therefore the graph crosses the y-axis at the point (0,0)

Step-by-step explanation:

hope it hlps

Answer:

Step-by-step explanation:

Given,

A camel drinks water in 10 minutes = 15 gallons

So,

Water drank by the camel in 1 minute = [tex]\frac{15}{10} gallon[/tex]

So, Water drank by the camel in 6 minutes

= ( [tex]\frac{15}{10}[/tex] × 6) gallons

= 1.5 × 6 gallons

= 9 gallons

Hence,

Amount of water drank by the camel in 6 minutes is 9 gallons of water. (Ans)

Answer:

a

Step-by-step explanation:

a square +b square equals to c Square

therefore

2. 2 2

a + b = c

Answer:

75 feet per second to feet per minute is 4500

Step-by-step explanation:

Answer:

n = -13

Step-by-step explanation:

38 = -2n + 12

Subtracting 12 from both sides:

==> 38 - 12 = -2n + 12 - 12

==> 26 = -2n

multiplying both sides by (-1):

==> -26 = 2n

dividing both sides by 2:

==> -13 = n

Answer:

Step-by-step explanation:

38 = -2n + 12

26 = -2n

n = 26 : (-2)

n = -13

-----------------

check

38 = -2 * (-13) + 12

38 = 26 + 12

38 = 38

the answer is good

[tex]\tt v=\dfrac{d}{t}[/tex]

[tex]\tt t=\dfrac{d}{v}=\dfrac{169.6}{53}=3.2~h[/tex]