A triangular prism has a base that is 10 cm. It’s height is 8 cm. What is its volume

Answer:

x=3

Step-by-step explanation:

plug it into the equation and see if it's correct

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

Let's solve ~ ☂

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 4x - 77[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 11x - 7x - 77[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{} (x + 11) -7(x + 11)[/tex]

[tex]\qquad \sf  \dashrightarrow \: {}^{} (x + 11)(x - 7)[/tex]

Answer:

x = 7

x = -11

Step-by-step explanation:

x² + 4x = 77​

Complete the square to make it a square of a binomial

x² + 4x + 4 = 77 + 4

(x+2)² = 81

Square root both sides (two solutions)

x + 2 = 9

x = 7

x + 2 = -9

x = -11

Hope this helps :)

Have a nice day!

Answer:

24%

Step-by-step explanation:

convert the fraction to decimal then multily by 100

6/25 to decimal is 0.24

0.24 x 100 = 24

Answer:

24%

Step-by-step explanation:

6/25

=0.24

=24%

Answer:

12$

Step-by-step explanation:

he worked from 1:45-4:45 wich means he worked 3 hours,then 3 hours *4$ =12$

Answer:

12 dollars

Step-by-step explanation:

Hello!
To solve this question, we understand that:
- the rate at which he earns money is 4 dollars an hour.

-if we find how many hours elapsed between 1:45pm-4:45pm, it is three hours which means he has worked for three hours
(4:45pm-1:45pm=3:00 hours)

Knowing this equation, we must figure out how much he earns during this time frame, 3 hours.

Since we know that the rate is 4 dollars an hour and he has worked 3 hours, let's multiply 4 times 3 (or add 4 three times 4+4+4) to get 12 dollars he has worked during this time.

Answer:

-6+8

Step-by-step explanation:

-6+8=6-(8)

-2=-2

Hoped it helped :)

Answer:

$12

Step-by-step explanation:

$86-$14 = $72 that you have left for the 6 puzzles

72÷6 = 12

They paid sales tax on a customer which cost $196.00​ is 75 %.

We have given that,

At a store, 3 cents on every dollar spent is charged as sales tax.

A sales tax is a tax paid to a governing body for the sales of certain goods and services

0.3 multiplied by $196.00

0.3 *196=58.8

$58.8 as sales tax.

Adding that to the $196 dollars

$58.8+$196=$254.80

Therefore total sum and amount of

=$254.80

Therefore, they paid sales tax on a customer which cost $196.00​ is 75%.

To learn more about the sale tax visit:

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200 times 40000 is 8000000.

       200

x 40000

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

8000000

Answer: 8,000,000

Step 1: Multiply by smaller parts.

2 x 4 = 8

Step 2: Add all the zeros.

8,000,000

Answer = 8,000,000

Hope this helps!

Answer:

b

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

First, multiply 0.6 by 10

The answer is 6

The multiply 6 to the third power.

6 · 6 · 6 = 216

Hope I helped :)

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Step-by-step explanation:

I believe we are expected to solve for the number of lawns she would mow before she could make profit

let the cost be C

and let the price be P

and let the number of lawn be x

C=$450----------1

P=6+20x---------2

equating 1 and 2 we can find x

450=6+20x

450-6=20x

444=20x

x=444/20

x=22.2

therefore for her to break even and start making profit she need to mow 22.2 lawns and above

Answer:

Seat number 140 gets all three treats

Step-by-step explanation:

Given

[tex]Twizzlers = Multiples\ of\ 4[/tex]

[tex]Nachos = Multiples\ of\ 7[/tex]

[tex]Popcorn = Multiples\ of\ 10[/tex]

Required

Determine first person to get all kinds of treats

To do this, we simply need to determine the LCM of the given multiples:

[tex]4 = 1 * 2 * 2[/tex]

[tex]7 = 1 * 7[/tex]

[tex]10 = 1 * 2 * 5[/tex]

[tex]L.C.M = 1 * 2 * 2 * 7 * 5[/tex]

[tex]L.C.M = 140[/tex]

Seat number 140 gets all three treats

Answer:

Step-by-step explanation:

Given the point A (9, 9) and B(7, -1)

The slope of the line AB is expressed as:

slope = Δy/Δx

slope = y2-y1/x2-x1

slope = -1-9/7-9

slope = -10/-2

slope = 5

For two lines to be perpendicular, the product of their slope must be -1

mM = -1

M is the slope of the line perpendicular to AB

Substitute m = 5 into the equation

5M = -1

M = -1/5

Hence the  slope of a line that is perpendicular to the line joining point A and B is -1/5

Answer:

32

Step-by-step explanation:

negative times negative = positive

Answer:

B

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Given the following question:

[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]

To find the answer we need to find the values of each of the variables by solving one equation at a time, and then substitute those answers into each equation in till we have our answers.

[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]
[tex]y-y=0[/tex]
[tex]-3x+2+ -y=0[/tex]
[tex]2-2=0[/tex]
[tex]-3x+-y=0+-2[/tex]
[tex]-3x+3x=0[/tex]
[tex]-y=3x-2[/tex]
[tex]-y\div-1=y[/tex]
[tex]3x+2\div-1=-3x+2[/tex]
[tex]y=-3x+2[/tex]

Substitute y for -3x + 2:
[tex]2x+4y=18[/tex]
[tex]y=-3x+2[/tex]
[tex]2x+4(-3x+2)=18[/tex]
[tex]2x+4(-3x+2)=18=-10x+8=18[/tex]
[tex]-10x+8=18[/tex]
[tex]8-8=0[/tex]
[tex]18-8=10[/tex]
[tex]-10x=10[/tex]
[tex]-10x\div10=x[/tex]
[tex]10\div-10=-1[/tex]
[tex]x=-1[/tex]

Substitute x for -1:
[tex]y=-3x+2[/tex]
[tex]x=-1[/tex]
[tex]y=-3(-1)+2[/tex]
[tex]-3\times-1=3[/tex]
[tex]y=3+2[/tex]
[tex]3+2=5[/tex]
[tex]y=5[/tex]

[tex]x=-1[/tex]
[tex]y=5[/tex]

Your answer is "(-1, 5)" or option C.

Hope this helps.

Answer:

He needs to read 14 pages on Thursday to finish the book

Answer:

A

Step-by-step explanation:

The answer is circle because if you slice a cone parallel to the base, the cross section is circle

A Right Cone is sliced parallel to its base the resulting shape is Circle.

A cone is a" three dimensional shape consisting one circular shape and once continuous curved surface tapering to a point".

According to the question,

A right cone is slice parallel to its base.

In order to find the resulting shape. When a right cone is sliced parallel to its base it results Circle.

Hence, right Cone is sliced parallel to its base the resulting shape is Circle.

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The answer to your question is 36

-18 + x(-6)

Substitute x with -9

-18 + (-9) (-6)

Then you get 36

Hey there!

-18 + x(-6)

= -18 + (-9)(-6)

= -18 - 9(-6)

= -18 - (-54)

= -18 + 54
= 36

Therefore, your answer is: 36

REMEMBER!
• Negative & negative = positive

• Positive & positive = positive

• Negative & positive = negative

• Positive & negative = negative

• Negatives are smaller than 0

• Positives are bigger than 0

• Negatives are to the LEFT of 0

• Positives are to the RIGHT of 0

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The solution of the considered system of equation is represented by: Option C: (1,3) and (4,0)

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

For the considered case, the system of equations given to us is:

[tex]y = x^2 - 6x + 8\\y = -x + 4[/tex]

Plotting both's graph and finding the common points on both's graph, we get the common points as:

(1,3) and (4,0)

These points satisfy both the equations simultaneously.

Therefore, the solution of the considered system of equation is represented by: Option C: (1,3) and (4,0)

Learn more about solutions to a system of equations here:

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Answer:

c is correct

Step-by-step explanation:

Answer:

The answer is x = y - 30

Step-by-step explanation:

y=31 and x=1, therefore y-30=x

Answer:

$11.70

Step-by-step explanation:

X= starting amount ($200)

R= interest rate (6%)

Y= years (6)

simple interest= [tex]X(1+ r^{y} )[/tex]

compounded interest= [tex]X(1+r)^{y}[/tex]

Step-by-step explanation:

Given the function that models the income of a family as g(X) = ax+b

at x = 0, g(x) = 42000, the function becomes;

g(X) = ax+b

42000 = a(0)+b

42000 = 0+b

b = 42000

at x = 1, g(x) = 56256

56256 = a(1) + b

56256 = a+b

a = 56256 -b

a = 56256 - 42000

a = 14,256

To get the average family income in 1997, wee need to calculate g(x) at when x = 5, since the number of years between 1992 and 1997 is 5years.

g(x) = ax+b

g(5) = 14256(5) + 42000

g(5) = 71,280+42000

g(5) = 113,280

Hence the average family income in 1997 is 113,280

Answer:

The answer is "21"

Step-by-step explanation:

mn + 3r

m = 5

n = 4

r = 1/3

Now just substitute the values given in the question into the equation

5(4) + 3(1/3)

Multiply 5 and 4 to get 20

20 + 3(1/3)

3(1/3) cancels out and becomes 1

20 + 1

Add 20 and 1

21

So "21" is your answer

Answer:

B

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

All the other values are .15, 1.5 does not equal .15, so it is not equivalent.

Hopefully this helps- let me know if you have any questions!

Answer:

1.5

Step-by-step explanation:

3/20 =15% =0.15

1.5 is not equivalent to the other values