Find the total surface area for the rectangular prism.
The rectangular prism shown is 8 inches by 7.5 inches by
6 inches.
Use the formula:
Now, substitute
B.
1.5
for P,
for h and
Rewrite the formula with the numbers:
The total surface area is:
Next find just the lateral surface area
Use the formula:
Now, substitute
for P and for h.
The lateral surface area is:
Rewrite the formula with the numbers:
for

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

so therefore mark jogged 2 36/70km more than his sister

The number of kilometers that Mark jog more than his sister will be 32 / 35 km.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mark jogged 3 ⁵/₇ km. His sister jogged 2 ⁴/₅ km.

Convert the mixed fraction number into a fraction number. Then we have

3 ⁵/₇ = 3 + 5/7 = 26/7

2 ⁴/₅ = 2 + 4/5 = 14/5

Then the number of kilometers that Mark jog more than his sister will be given as,

⇒ 26/7 - 14/5

⇒ 32 / 35 km

The number of kilometers that Mark jog more than his sister will be 32 / 35 km.

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Answer:

Step-by-step explanation:

Sum of nth term of a GP is expressed as;

Sn = a(r^n-1)/r-1

The sum of the first 8 terms of a GP is expressed as;

S8 = a(r^8 - 1)/r-1

The sum of first 4 terms is expressed as;

S4 = a(r^4 - 1)/r-1

If the sum of the first 8 terms of a GP is five times the sum of first 4 terms then

S8 = 5S4

a(r^8 - 1)/r-1 = 5[a(r^4 - 1)/r-1]

r^8 - 1 = 5(r^4 - 1)

r^8 - 1 = 5r^4 - 5

r^8 - 5r^4 = -5+1

r^4(r^4 - 5) = -4

r^4 - 5 = -4

r^4 = -4+5

r^4 = 1

r = 1

Hence the common ratio is 1

Answer:

2

3

4

9

Step-by-step explanation:

Answer:

(1,3)

Step-by-step explanation:

:)

Answer: 400 acres.

Step-by-step explanation:

We know that 598 is very close to 600, so we can round that amount up.

We also know that 67% is very close to [tex]\frac{2}{3}[/tex] because 2÷3≈0.67 & 67%=0.67

So, we can estimate [tex]\frac{2}{3}[/tex] of 600, which is about 400.

Answer:

The question is incorrect. Please rewrite the question.

Answer:

The answer for the first one is 1/2.

The answer for the second one is -1/1

Step-by-step explanation:

Hope that helps you :)

Answer:

1) The  series of equations that can be used to find the numbers are

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) The first number is 6

The second number is 4

Step-by-step explanation:

1) The given parameters for the numbers are;

7 times the first number + 3 times the 2nd number = 54

The first number = The 2nd number + 2

Let 'x' represent the first number and let 'y' represent the second number

The following series of equations can therefore be used in finding the numbers;

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;

7·x + 3·y = 54

∴ 7×(y + 2) + 3·y = 54

7·y + 14 + 3·y = 54

10·y + 14 = 54

10·y = 54 - 14 = 40

y = 40/10 = 4

The second number = y = 4

The first number, x = y + 2 = 4 + 2 = 6

The first number, x = 6.

Answer:

I believe the answer would be 8/13 or 61.5%.

Step-by-step explanation:

Hope this helps :))

tbh I don't know why I clicked on it. I'm bored and the answer is 7

Answer:

x - 4

Step-by-step explanation:

The difference means subtraction

The algebraic expression of the phrase is x-4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given phrase:

The difference of x and 4.

Here, we have the phrase difference.

So, we will use the subtraction operation.

So, the algebraic expression,

x - 4.

Therefore, x -4 is the algebraic expression.

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Answer:

1224 cm^3

Step-by-step explanation:

volume = bottom area x height

102x12=1224

The fish tank holds 1224 cc of water.

In mathematics, volume is the space taken by an object.

Here, given that,

The area of the bottom of the tank =A= 102 cm²

now, the height of the water in tank = h= 12cm

we know, volume of water= A× h  

                                           =102×12 cc

                                           =1224 cc

Hence, required volume is 1224 cc

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Answer:

1 x (27a^2+72a+28)  or 1(27a^2+72a+28)

Step-by-step explanation:

First find the GCF (greatest common factor) of 27a squared 72a and 28. It is 1 because there is nothing else that can go in.

So put 1 outside the parentheses and keep the terms

1 x (27a^2+72a+28)

Answer:

The answer is A

Step-by-step explanation:

Answer:

the correct answer is -68

Answer:

I don't know

Step-by-step explanation:

I tried to search it up to get it correct but all it showed me was useless websites that didn't give me the answer

Answer:

(0, -9)

Step-by-step explanation:

-y= -6x + 9

y = 6x -9

plug in 0 for x

(0, -9)

Answer:

x = 7, y = 24

Step-by-step explanation:

23x -16 + 8x - 21 = 180 because they are supplementary angles

31x - 37 = 180

31x = 217

x = 7

23(7)-16 = 7y - 23 because they are vertical angles

168 = 7y

y = 24

Answer:

c=-4, d=-6

Step-by-step explanation:

Perimeter= 4x+8 and Area= 2x+1x^2+2

I posted a photo on how I found these two answer.

Hope this helped

Answers:

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

Explanation:

This is consider a monomial since we only have one term. Terms are separated by a plus sign, so something like 5x^2+10x has two terms.

The degree of a polynomial is the largest exponent when dealing with single variables. In the case of 9r^9, the largest exponent is 9, so the degree is 9. Going back to an example like 5x^2+10x, the largest exponent is 2 so this is the degree of this example.

Answer 7+7+35

Step-by-step explanation:

Answer:

I think (10*1)+4+(10*3)+5??

Step-by-step explanation:

the * represents a multiplication sign btw

Answer:

x > -2

Step-by-step explanation:

-6x - 8 < 4

-6x < 12

x > -2

Answer:

8 and half 8/2 8.5, wait or 7/5 or 7.5

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

Answer:

[tex]Monday = -2.5F[/tex]

[tex]Tuesday = -1.9F[/tex]

Step-by-step explanation:

Given

See attachment

Required

Days colder than -1.75°F

From the attachment, we have:

[tex]Monday = -2.5F[/tex]

[tex]Tuesday = -1.9F[/tex]

[tex]Wednesday = 0F[/tex]

[tex]Thursday = -1.5F[/tex]

[tex]Friday = 0.5F[/tex]

Days with temperature less than -1.75°F are colder.

-2.5 and -1.9 are less than -1.75

So, we have:

[tex]Monday = -2.5F[/tex]

[tex]Tuesday = -1.9F[/tex]

Answer:

:)

Step-by-step explanation:

Answer:

Yes they form a proportion.

Step-by-step explanation:

120:3 = 720:18 because:

3x6=18 so multiply 120 by 6 and you get 720. Which means the ratios are proportionate.

Answer:

Step-by-step explanation:

This is a linear equation. Mx+b=y.

m=slope

x=x coordinate

y=y coordinate

b=y intercept (where x=0)

For this problem, you need to plug in 2 "coordinates", ex (1,16), and (0,__). You would need to find the slope, which would be y2-y1/x2-x1 (find two "coordinates" and then put it in, order doesn't matter.)

Hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

Two points are not sufficient to define a graph, so the equation could be anything that gives the listed values.

We note that the given y-values are powers of 2. Specifically, they are 2^4 and 2^8. These powers differ by 4, just as the corresponding x-values differ by 4. This suggests an exponential equation might be good fit:

  y = 2^(x+3)

Simplified, this is ...

  y = 8·2^x . . . . . exponential equation for table values

__

Alternate solution

Often, when only two points are given, a linear function is indicated. We can use the two given points in the 2-point form of the equation for a line to find what the linear equation might be.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (256 -16)/(5 -1)(x -1) +16 . . . . with values filled in

  y = 240/4(x -1) +16 . . . . . . . . . . . find the ratio

  y = 60x -60 +16 . . . . . . . . . . . . . eliminate parentheses

  y = 60x -44 . . . . . linear equation for table values

__

The two answers we looked at here are shown in the attached table. There are an infinite number of other possibilities.

Answer:

x > 4 and x <3

Step-by-step explanation:

Given the system of inequalities

2x – 5 > 3 or 11 – 3x > -2

for 2x – 5 > 3

2x > 3+5

2x>8

x>8/2

x> 4

For 11-3x > -2

-3x > 2-11

-3x > -9

x < -9/-3

x<3

hence the result will be x > 4 and x <3