Calculate the area of metal sheet needed to make a cover as shown in the diagram below

Answer:

48.8 years

Step-by-step explanation:

A=p(1+r/n)^nt

A= total amount

p= initial investment (800_

r/n= annual interest rate over number of years( 2.25)

t= number of years compounded ( annually , biannually, quarterly etc.)

48.8 years

Answer:

Only the third sequence is arithmetic

Step-by-step explanation:

If the sequence has a common difference, then it is arithmetic.  To find the common difference, substract a term from the next term.

First sequence:  

10 - 20 = -10     5 - 10 = -5    The differences are not the same,   so the sequence is NOT arithmetic

Second sequence:

-6 - (-3) = -3     -18 - (-6) = -12   The differences are not the same,   so the sequence is NOT arithmetic

Third sequence:

 10 -  5 =  5     15 - 10 = 5   20 - 15 = 5  The differences are the same,   so the sequence is arithmetic

Fourth sequence:

10 - 5 = 5    20 - 10 = 10   The differences are not the same,   so the sequence is NOT arithmetic

Answer:

B). ∠BAC and ∠CAD

C). ∠BAE and ∠EAD

D). ∠EAD and ∠DAC

Step-by-step explanation:

As we know, a linear pair consisting of angles at a single point of the line has a sum of 180° in total. In other words, two supplementary angles together comprise a linear pair. In the given figure, the pair of supplementary angles ∠BAC and ∠CAD, ∠BAE and ∠EAD, and ∠EAD and ∠DAC are the linear pairs as their sum is 180°. Thus, options B, C, and D are the correct answers.

Step-by-step explanation:

EAD ∠BAC and ∠CAD ∠BAE

Answer:

The answer is X=-2

Step-by-step explanation:

Subtract 5 from both sides

The five cancels itself out on the left side

X+5=17

-5       -5

x =    -12

Answer:

12

Step-by-step explanation:

Move all terms not containing x to the right side of the equation. Hope this helped! :)

Answer:

This function is exponential

Answer:

thirty two multiplied by one fourth equals eight

Step-by-step explanation:

Answer:

after it has been enlarged 3 times

Answer:

$21,807.10

Step-by-step explanation:

Amount ( percent decrease)^time

32,000(0.88)^3 = $21,807.10

Percent decrease = 100 - 12 = 88%

Answer:

7 teams with 6 girls and 8 boys on each team

Step-by-step explanation:

Both 42 (girls) and 56 (boys) are divisible by 7 (getting 6 and 8).

Therefore, there would be 6 girls and 8 boys on each team.

The ratio would be 6 girls:8 boys per team.

Check:

6•7=42 ––(6 girls amongst 7 teams = 42 girls total)

8•7=56 ––(8 boys amongst 7 teams = 56 boys total)

Answer:

y = x-4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 -1)/( 1 - 5)

   = -4/-4

   = 1

Then using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Substitute one of the points in

1 = 5 +b

1-5 = b

-4 =b

y = x-4

Answer: up

Step-by-step explanation: good

Answer:

m+4

Step-by-step explanation:

She currently has a variable "m" in her pocket which we don't know, BUT we know how much she is getting, which is 4.

Answer:

7

Step-by-step explanation:

i have checked, i have spoken

Answer:

the third expression

Step-by-step explanation:

x=10.8

(x2 / 18) + 33.52

10.8 x 10.8=116.64

116.64 divide by 18=6.48

6.48 + 33.52=40

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

because it is

Answer: 16

Step-by-step explanation: Here's a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:

64/1

So now that we've converted 64 into a fraction, to work out the answer, we put the fraction 1/4 side by side with our new fraction, 64/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

1x64/4x1 = 64/4

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers:

The GCF of 64 and 4 is 4.  

We can now divide both the new numerator and the denominator by 4 to simplify this fraction down to its lowest terms:  

64/4 = 16  

4/4 = 1

When we put that together, we can see that our complete answer is:

16/1

The complete and simplified answer to the question what is 1/4 of 64 is:

16

Hopefully, this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

This Is My Most Complex Answer Yet, If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

$21.40

Step-by-step explanation:

7% is equal to .07

multiply .07 times 20

=1.40

add the $1.40 sales tax to the meal price to get 21.40

Answer:

y = 3, y = - 1

Step-by-step explanation:

P is the centroid of the triangle.

Centroid of a triangle divides the median in the ratio 2 : 1

Therefore,

BP : PV = 2 : 1

[tex] \frac{BP}{ PV} = \frac{2}{1} \\ \\ \frac{ {y}^{2} + 1 }{y + 2} = \frac{2}{1} \\ \\ {y}^{2} + 1 = 2y + 4 \\ \\ {y}^{2} + 1 - 2y - 4 = 0 \\ \\ {y}^{2} - 2y - 3 = 0 \\ \\ {y}^{2} - 3y + y - 3 = 0 \\ \\ y(y - 3) + 1(y - 3) = 0 \\ \\ (y - 3)(y + 1) = 0 \\ \\ y - 3 = 0 \: \: or \: \: y + 1 = 0 \\ \\ y = 3, \: \: y = - 1 [/tex]

Answer:

60, 72, 86.4, 103.68, 124.42

Step-by-step explanation:

How do I add 20% to a number?

Divide the original number by 100 to get 1% of it.

Multiply 1% by your desired percentage, in this case 20.

Add the product of the previous step to your original number.

Congratulate yourself on adding 20% to your number!

Answer:

Step-by-step explanation:

Given sequence:

The rule is adding 20%

Adding 20% is converted to common ratio:

The sequence is the GP with common ratio of 1.2:

Step-by-step explanation:

Gladys blister is luggage

Answer:

The bench costs $425

And the Table costs $510

Step-by-step explanation:

table + bench = $ 935

$85 + 2b = $935

$935 - $ 85 = $ 850

$850/ 2 = 425 = b

Answer

6 months / the $30 ($5 per month) will be cheaper

Answer:

1) Six months

2) The second plan ($30 sign up fee, $5 per month)

Step-by-step explanation:

1) Six months

We can write an equation such as 30 + 5m = x, where m = months and x = total cost after a certain amount of months. If we know that the first plan costs $12 a month, we can find the LCM of 12 and 30 + 5m, which is 60. If we plug in 60 as m in the equation I showed, we'll get this:

30 + 5m = 60

Solve for x = 6.

2) The second plan

Write the first plan as an equation 12m = x, where m is months and x is the total cost after a certain amount of months. If we plug in 12 for m (since there's 12 months in a year), we'll get 12(12) = x, where x is equal to $144 after a year.

Write the second plan as an equation 30 + 5m = x, where m is months and x is the total cost after m months. Plug in 12 again so our equation looks like

30 + 5(12) = x. Solve for x and get $90 after a year.

Given:

A fair 6 sided die is rolled and then a second fair die is rolled.

To find:

The probability that you roll 1, 2, or 3 on the first die and roll 5 on second.

Solution:

If two fair die are rolled, then the total possible outcomes are

S= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

So, total outcomes = 36.

Favorable outcomes of getting 1, 2, or 3 on the first die and roll 5 on second are (1,5), (2,5), (3,5).

So, favorable outcomes = 3

We know that

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{3}{36}[/tex]

[tex]\text{Probability}=\dfrac{1}{12}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].

Answer:

D. 6x(63-3y)

Step-by-step explanation:

You would be multiplying

Step-by-step explanation:

You want to be very carful with the parentheses for this question.

You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.

6 x (63 - 3y)

Answer:

C

Step-by-step explanation:

So your total is 15. There are 3 vans, and we want to know how many are on each van.

3 (number of people on each van)=15

Number of people are unknown

3x=15

Divide both sides by 3 to solve for x

x=5

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]D = s.t[/tex]

Required

Which represents 400km

This question requires options. Since none were given, I will answer on a general term.

Situation 1:

s = 20km/h and t = 20h

[tex]D = s.t[/tex]

[tex]D = 20km/h * 20h[/tex]

[tex]D = 400km[/tex]

Situation 2:

s = 10km/h and t = 40h

[tex]D = s.t[/tex]

[tex]D = 10km/h * 40h[/tex]

[tex]D = 400km[/tex]

Situation 3:

s = 40km/h and t = 10h

[tex]D = s.t[/tex]

[tex]D = 40km/h * 10h[/tex]

[tex]D = 400km[/tex]

So, all you literally have to do is multiply the values of s and t. If the product gives 400, then; that situation is D = 400

it will take him 5 months

Find how much more he wants to bench:

300-200 = 100

He needs to increase by at least 100 pounds.

So 20 pounds per month has to be greater than 100 pounds.

20x > 100

Divide both sides by 20:

X > 5 months