15 points!!
What is the approximate surface area of this right prism with triangular bases?

A 200 ft. ²
B. 240 ft. ²
C. 394.2 ft. ²
D. 460.8 ft. ²

Answer:

A) (x+10)(x+4) = ?

B) (x+10)(x+4) = 112, solve for x

Step-by-step explanation: you multiply the two equations to get the area.

Answer:

a)[tex](x^{2} +14x+40)ft^{2}[/tex]

b)14ft, 8ft

Step-by-step explanation:

a) Area of Rectangle = Length x Breadth

= [tex](x+10)(x+4)\\=x^{2} +4x+10x+40\\=(x^{2} +14x+40) ft^{2}[/tex]

b) Given Area of rectangle = [tex]112ft^{2}[/tex]

[tex]x^{2} +14x+40=112\\x^{2} +14x-72=0 (Quadratic Equation)\\\\[/tex]

Quadratic Equations: [tex]ax^{2} +bx+c = 0\\[/tex]

In this case, a = 1, b = 14, c = -72

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a} \\= \frac{-14+/-\sqrt{14^{2} 4(1)(-72)} }{2(1)} \\= 4 or - 18 (reject)[/tex]

We reject negative values.

so x = 4,

The length of table = (x+10) ft = 4+10 = 14ft

The breadth of the table = (x+4) ft = 4 + 4 = 8ft

Answer:

No Solutions

Step-by-step explanation:

Hello!

We can approach this system using the Elimination method. Since the coefficients of the the x terms are the same, we should vertically subtract the two equations.

Since 0 does not equal to -11, there are no solutions to the system.

We can also look at this graphically. The two lines have the same slope but different y-intercepts, meaning that they would be parallel lines with no intersection. If there is no intersection, there are no solutions.

Answer:

C (√34)

Step-by-step explanation:

Pythagoras' theorem states that: a² + b² = c², where c is the hypotenuse and what we are trying to figure out.

So, 3² + 5² = c²

9 + 25 = 34 = c²

c = √34

:)

Answer:

C (√34)

Step-by-step explanation:

Answer:

150 is if you buy them separately but 150-25%=112 so 150-112=38 so students would save $38  

Step-by-step explanation:

he made that package so that more people would go to his lessons know that there was a discount going on and more people would choose his lessons over people who don't have discounts.

Answer:

1- Separately - 150

2- students would save 38

Answer:

23

Step-by-step explanation:

To find the Greatest Common Factor, or GCF, we need to factor the first 2 numbers and then find the greatest number that is both present in the prime factorization of both numbers.

253 = 1 * 11 * 23

345 = 3 * 5 * 23

Since 23 is both present in both numbers and is the greatest, the GCF of 253 and 345 is 23.

Answer:

6 1/2

Step-by-step explanation:

8 4/10 is rounded to 8 1/2 and 2 1/7 is rounded to just 2

8 1/2 - 2 = 6 1/2

Answer:

x =5.25

Step-by-step explanation:

Comment

So you want to find x? If the scale factor is 1.75 it means that you multiply whatever dimension on Figure A by 1.75 to get the corresponding dimension on B.

Formula

x = 1.75 * 3

Solution

x = 1.75 *  3

x = 5.25

Answer: Vertex : Maximum (2, 0)

Rules:

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

Answer:

You divide both the numerator and the denominator by the same number until they can't be reduced any further.

Answer:

Make sure to divide the upper number and the lower number (in position) to a number which can't be futher divided. It will be of numbers which are really small numbers. like 4/2 will be divided by 2 to get the simplified answer of 1/2

Step-by-step explanation:

Answer:

4.5cm

Step-by-step explanation:

28cm+0.3cm=28.3cm

surface area=28.3cm×15cm=424.5cm

original surface area=28cm×15cm=420cm

different=424.5cm-420cm=4.5cm

Answer:

well, both numbers are odd, so their sum will be even.

2 is the smallest prime divisor.

Answer: B. None

Step-by-step explanation:

The best way to figure this out is by graphing it. I used Desmos graphing calculator. The red line is the first equation, and the blue line is the second one. As you see, they do not intersect anywhere, therefore will not have any solutions.

I hope this helps!! Pls mark brainliest!! :)

Answer:

B

Step-by-step explanation:

These are PARALLEL lines....they both have the same slope   -7

   so there are no solutions

Answer:

Greater than

Step-by-step explanation:

you are adding exponent with the same denominator if its easier for you in this example you can set the denominator equal to 10.

Sum= adding

2/5 +4/5 =6/5 or 1 1/5

if you want to do it with the denominator equal to 10 just multiply each side by 2.

(2/5 +4/5)x 2

4/10 + 8/10 = 12/10

Answer:

2

Step-by-step explanation:

ist you have to lind the lcd of each fraction. that would be 10.

1/2x5/5=5/10 of the boys have brown eyes

1/5x2/2=2/10 of the boys have blue eyes

3/10=3/10 of the boys have hazel eyes

The question is asking to see how many more boys have brown eyes than hazel eyes.

Subtract 3/10 from 5/10

and that gives you 2/10

The answer is 1/5.

We know that half of the boys in Jason's class has brown eyes, while three-tenths of the boys in his class have hazel eyes. Therefore, if we subtract the two values, you should get your answer.

[tex]\frac{1}{2} -\frac{3}{10} =\frac{2}{10}[/tex]

1/5 is the simplified version of 2/10. Therefore, 1/5 is your answer.

Answer: C

Step-by-step explanation:

A says the polygon's measurements are 283 inches by 283 inches. Is it Correct? No. If we multiply these numbers we get 80,089 inches squared, which is not equal to our actual surface of 283 inches squared.

B says the polygon's volume is 283 inches cubed, which is not correct because it says that a certain measurement of a polygon is 283 inches squared, not cubed, which means we got a surface/area, not a volume.

C says that our 283 inches squared area could fit 283 one-inch by one-inch squares, which is correct because one-inch by one-inch is an one inch squared area, if we multiply this one-inch squared by the number 283, we get 283 inch squared area.

And D couldn't be because the answer is C.

Hope I Helped!

Answer:

Movie: 1:35pm

Soccer Game: 1:05pm

Concert: 1:50pm

Step-by-step explanation:

Movie:

Starting at 11:20am and ends in 2 hours and 15 minutes

hours : minutes

2 hours after 11am is 1pm

15 minutes after 20 is 35

so the movie will end at 1:35pm

Soccer Game:

Starting at 11:35am and ends in 1 hour and 30 minutes

hours : minutes

1 hour after 11am is 12pm

30 minutes after 35 is (65) 5 minute of the next hour (1 hour and 5 mins total)

so the soccer game will end at 1:05pm

Concert:

Starting at 12:15pm and ends in 1 hour and 35 minutes

hours : minutes

1 hour after 12pm is 1pm

35 minutes after 15 is 50

so the concert will end at 1:50pm

Answer:

1:35pm

Soccer Game: 1:05pm

Concert: 1:50pm

Step-by-step explanation:

Movie:

Starting at 11:20am and ends in 2 hours and 15 minutes

hours : minutes

2 hours after 11am is 1pm

15 minutes after 20 is 35

so the movie will end at 1:35pm

Soccer Game:

Starting at 11:35am and ends in 1 hour and 30 minutes

hours : minutes

1 hour after 11am is 12pm

30 minutes after 35 is (65) 5 minute of the next hour (1 hour and 5 mins total)

so the soccer game will end at 1:05pm

Concert:

Starting at 12:15pm and ends in 1 hour and 35 minutes

hours : minutes

1 hour after 12pm is 1pm

35 minutes after 15 is 50

so the concert will end at 1:50pm

Step-by-step explanation:

Answer:

refer to the above attachment !

Step-by-step explanation:

Mark as brainlest answer to This answer!

Answer:

[tex]10\frac{1}{6}[/tex]

Answer:

The zeros of a rational expression are the places where the numerator is zero:

4x = 0

x = 0

divide by 4

(i) Equation :  y = 6.25x + 65

(ii) Price of each ticket : $6.25

(iii) Money originally in the box : $65

Explanation:

Here from table, identify the coordinates given.

Coordinates:

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{146.25-108.75}{13-7} = 6.25[/tex]

Slope is also the price of each ticket which is $6.25

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\rightarrow \sf y - 108.75 = 6.25(x - 7)[/tex]

[tex]\rightarrow \sf y - 108.75 = 6.25x - 43.75[/tex]

[tex]\rightarrow \sf y = 6.25x - 43.75 + 108.75[/tex]

[tex]\rightarrow \sf y = 6.25x +65[/tex]

To find the amount of money in the box originally, insert x which represents number of tickets sold as 0.

Originally amount of money:

[tex]\rightarrow \sf y = 6.25(0) +65[/tex]

[tex]\rightarrow \sf y = 65[/tex]

Hence, there were $65 in the box before any tickets were sold.

Answer:

Capital Gains

Capital gain calculation in four steps

Determine your basis.

Determine your realized amount.

Subtract your basis (what you paid) from the realized amount (how much you sold it for) to determine the difference.

Review the descriptions in the section below to know which tax rate may apply to your capital gains

To calculate the taxable gain on the sale of an asset, an individual takes the difference between the original purchase price and the sale price of the investment.

Answer:

one paperback = 0.6 pounds

one textbook = 3.6 pounds

Explanation:

Let the mass of one paperback be 'p' and one textbook be 't'.

Equation one:

sum of mass = total mass in box

Equation two:

make 't' subject

Insert this into equation one:

20p + 9(5.1 - 2.5p) = 44.4

20p + 45.9 - 22.5p = 44.4

20p - 22.5p = 44.4 - 45.9

-2.5p = -1.5

p = 0.6

The weight of 1 paperback is 0.6 pounds.

The weight of 1 textbook:

t = 5.1 - 2.5p

t = 5.1 - 2.5(0.6)

t = 3.6

The weight of 1 textbook is 3.6 pounds.

Answer:

I think C

Step-by-step explanation:

A number times fifteen would be n • 15 or just n15.
The reason it is not 15n is because it asks a "number" which in this case is represented by  the letter n. That letter is now multiplied (times) by 15. So therefore the number "n" times 15 is n15.

Please hit brainliest or thanks, it would help me out.

#Learnwithbrainly

Answer:

First for example let's say

your going to doing what you do normally for gcf but then make an l and times it if that makes sense

Step-by-step explanation:

Answer:

68.42

Step-by-step explanation:

We know that when we add the lengths of all of the desks together, the total is 214.62. Based on that information, we can set up the following equation: 67.94 + 78.26 + x = 214.62. From there, all you have to do is add 67.94 + 78.26 to get 146.2. Lastly, you simply do 214.62 - 146.2 to get 68.42. Hope this helps!

Answer:

68.42

Step-by-step explanation:

We know that when we add the lengths of all of the desks together, the total is 214.62. Based on that information, we can set up the following equation: 67.94 + 78.26 + x = 214.62. From there, all you have to do is add 67.94 + 78.26 to get 146.2. Lastly, you simply do 214.62 - 146.2 to get 68.42. Hope this helps!

Answer:

-3.5 < 1.5 and |-3.5| > |1.5|

Answer:

79.8 cm²

Explanation:

surface area of triangular prism: (a + b + c) × length + base × height

Here given:

a = 3 cm, b = 3 cm, c = 3 cm, length = 8 cm, base = 3 cm, height = 2.6 cm

Inserting the values:

(a + b + c) × length + base × height

(3 + 3 + 3) × 8 + 3 × 2.6

79.8 cm²

More on surface area of triangular prism: https://brainly.com/question/27970162