Given that 3a : 7 = 8:5, find the value of a.​

Answer:

Rotha

Step-by-step explanation:

20 divided by 10 is 2

30 divided by 12 is 2.5

So Rotha is quicker

Answer:

$1.30

Step-by-step explanation:

91/14/5

Step-by-step explanation:

y=p²+qr

y-qr=p²

p=√y-qr

now, is it fine..

Answer:

The volume of the cylinder is 900 cubic inches

Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

[tex]V_1 = 300in^3[/tex]

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

The volume of a cylinder is calculated as:

[tex]V_2 = \pi r^2h[/tex]

Since, the cone and cylinder have the same dimensions, we can substitute [tex]\pi r^2h[/tex] for [tex]V_2[/tex] in [tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

So, we have:

[tex]V_1 = \frac{1}{3} * V_2[/tex]

Multiply both sides by 3

[tex]3 * V_1 = \frac{1}{3} * V_2 * 3[/tex]

[tex]3 * V_1 = V_2[/tex]

[tex]V_2 = 3 * V_1[/tex]

Substitute [tex]300in^3[/tex] for [tex]V_1[/tex]

[tex]V_2 = 3 * 300in^3[/tex]

[tex]V_2 = 900in^3[/tex]

Hence, the volume of the cylinder is 900 cubic inches

Answer:

[tex] (3p + 2) (1 - c)(1 + c + {c}^{2} )[/tex]

Step-by-step explanation:

[tex]3p- 2c^3- 3c^3p +2 \\ \\ = (3p - 3 {c}^{3} p) +( 2 - 2c^3) \\ \\ = 3p(1 - c^3) + 2(1 - c^3) \\ \\ = (1 - c^3)(3p + 2) \\ \\ = (1 - c)(1 + c + {c}^{2} )(3p + 2) \\ \\ = \bold{ \red{(3p + 2) (1 - c)(1 + c + {c}^{2} )}}[/tex]

Given:

The midpoint of segment AB has the coordinates M(-4,2).

The coordinates of endpoint A are (-6, -7).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The midpoint of segment AB has the coordinates M(-4,2), so by using the above formula we get

[tex]M=\left(\dfrac{-6+a}{2},\dfrac{-7+b}{2}\right)[/tex]

[tex](-4,2)=\left(\dfrac{-6+a}{2},\dfrac{-7+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-6+a}{2}=-4[/tex]

[tex]-6+a=-8[/tex]

[tex]a=-8+6[/tex]

[tex]a=-2[/tex]

And,

[tex]\dfrac{-7+b}{2}=2[/tex]

[tex]-7+b=4[/tex]

[tex]b=4+7[/tex]

[tex]b=11[/tex]

Therefore, the coordinates of point B are (-2,11).

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

p=42 and p+22=?

Substitute:

(42)+22=?

Add:

(42)+22=64

Answer:

5(3n - 4)

Step-by-step explanation:

The GCF of 15 and 20 is 5, so 5 is on the outside of the parentheses. 15/5 = 3, so the term is 3n. 20/5 = 4, so the other term is 4. Put it all together and you have 5(3n - 4)

Answer:

5(3n - 4)

Step-by-step explanation:

Edge 2020

Answer:

I'm pretty sure its C and D

Answer:

The company can expect to pay out $45,000 over the year after the policies were written.

Step-by-step explanation:

This can be determined as follows:

The probability that a person will die at age 20 = 0.0015

Revenue from 100 policies = 100 * $75,000 = $7,500,000

Revenue from 500 policies = 500 * $25,000 = $12,500,000

Revenue from 1000 policies = 1000 * $10,000 = $10,000,000

Total revenue from all policies = Revenue from 100 policies + Revenue from 500 policies + Revenue from 1000 policies = $7,500,000 + $12,500,000 + $10,000,000 = $30,000,000

Expected amount to pay out during the year the policies were written = Total revenue from all policies * The probability that a person will die at age 20 = $30,000,000 * 0.0015 = $45,000

Therefore, the company can expect to pay out $45,000 over the year after the policies were written.

Answer: 115 degrees

Step-by-step explanation:

Give me the brainliest plz!

Answer:

7:43 am.

Step-by-step explanation:

it was  1/2 full one minute ago then another 1/2 = 1/4 full 2 minutes ago.

Knowing how the bus fills, we want to find the time where the bus is one-quarter full.

The bus is one-quarter full at 7:43 am.

We know that at 7:45 am the bus is full. Let's say that the full bus has N people inside.

Each minute the population doubles, so if we go backwards, each minute the population is divided by 2.

One minute before, the bus must have half of the above population, meaning that at 7:44 am, the bus has N/2 people.

Another minuter before the people inside is halved again, then at 7:43 am we will have (N/2)/2 = N/4 people.

And if N is the people in a full bus, then N/4 represents the buss a quarter full.

Then we can answer the question as:

The bus is one-quarter full at 7:43 am.

If you want to learn more, you can read:

https://brainly.com/question/23055320

42 ounces is equivalent to 2.625 pounds.

To convert 42 ounces to pounds, we divide by the conversion factor of 16 ounces per pound, since there are 16 ounces in a pound:

= 42 ounces / 16 ounces per pound

= 2.625 pounds

Now, to express 2.625 pounds in simplest form.

Since it is in decimal form, so we don't need to simplify it further.

Therefore, 42 ounces is equivalent to 2.625 pounds.

Learn more about Unit Conversion here:

https://brainly.com/question/28600662

#SPJ6

Answer:

X =51 is the best answer for this question

Answer: AEC = 80

              X=30

YW ;)

Answer:

so there is 8 slice left

Step-by-step explanation:

Answer:

how do u know how many extraneous solutions there is?

Step-by-step explanation:

To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes.

Answer: To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes

Step-by-step explanation:

Please can I have brainliest I need one more to rank up

Answer:

[tex]T_{2} = 200[/tex]

Step-by-step explanation:

Given

Geometry Progression

[tex]T_1 = 500[/tex]

[tex]T_4 = 32[/tex]

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

[tex]T_n = ar^{n-1}[/tex]

For first term: Tn = 500 and n = 1

[tex]500 = ar^{1-1}[/tex]

[tex]500 = ar^{0}[/tex]

[tex]500 = a[/tex]

[tex]a = 500[/tex]

For fought term: Tn = 32 and n = 4

[tex]32 = ar^{4-1}[/tex]

[tex]32 = ar^3[/tex]

Substitute 500 for a

[tex]32 = 500 * r^3[/tex]

Make r^3 the subject

[tex]r^3 = \frac{32}{500}[/tex]

[tex]r^3 = 0.064[/tex]

Take cube roots

[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]

[tex]r = \sqrt[3]{0.064}[/tex]

[tex]r = 0.4[/tex]

Using:  [tex]T_n = ar^{n-1}[/tex]

[tex]n = 2[/tex]     [tex]r = 0.4[/tex]     and [tex]a = 500[/tex]

[tex]T_{2} = 500 * 0.4^{2-1}[/tex]

[tex]T_{2} = 500 * 0.4^1[/tex]

[tex]T_{2} = 500 * 0.4[/tex]

[tex]T_{2} = 200[/tex]

Hence, the second term is 200

Answer:

19. x=2

20. y= - 72

21. y=4

22.x= - 1

Step-by-step explanation:

Answer:

Answer: C or j(x) = (-x + 4)^1/2

Step-by-step explanation:

Got it right on the test

Answer:

59

Step-by-step explanation:

If a number is divided by [tex]n[/tex] and leaves a remainder [tex](n-1)[/tex], then the number [tex](n+1)[/tex] will be completely divisible by [tex]n[/tex].

Therefore, when we say a number [tex]x[/tex], when divided by 6, it leaves a remainder 5, then ([tex]x+1[/tex]) will be a multiple of 6.

When we say a number [tex]x[/tex], when divided by 5, it leaves a remainder 4, then ([tex]x+1[/tex]) will be a multiple of 5.

When we say a number [tex]x[/tex], when divided by 4, it leaves a remainder 3, then ([tex]x+1[/tex]) will be a multiple of 4.

When we say a number [tex]x[/tex], when divided by 3, it leaves a remainder 2, then ([tex]x+1[/tex]) will be a multiple of 3.

So, [tex]x+1[/tex] is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

Answer:

♡ hi there, madi here! ♡

hope your having a great day.

I did the math so here's your answer.

2x−3)(x−3)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x-3=0.   x-3=0

Set the first factor equal to 0 and solve.

x=3/2

Set the next factor equal to 0 and solve.

x=3

Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Answer:

the answer is A

Step-by-step explanation:

igot a 100

Answer:

D

Step-by-step explanation:

Answer:

5/6(3/2) = 15/12

5/4

1 and 1/4 hours

I took the quiz

Answer:

54.833→54.83→54.03

Answered By

Z.Khan,

India

Answer:

54.833, 54.83, 54.03

Step-by-step explanation:

Compare the numbers starting from the tenths, since the whole numbers are all the same, then the hundredths and so on.

54.830 (This is the second least since its thousandth is smaller)

54.030 (This is the least since its tenth is already the smallest)

54.833  (This is the greatest since it's digits are the largest even until the thousandth)

Answer:

interest

Step-by-step explanation:

Answer:

On dogwood $45,000 was invested

On red maple tree , $10,000 would be invested

Step-by-step explanation:

Let the amount invested on dogwood tree be d and the amount invested on red maple be r

Total is 55,000

Thus;

d + r = 55,000 ••••••(i)

Total profit is;

20/100 * 55,000 = 11,000

Profit on dogwood is;

29/100 * d = 0.29d

Profit on red maple is;

18/100 * r = 0.18r

Both equals 11,000

0.29d + 0.18r = 11,000 •••••••(ii)

From equation i, d = 55,000 - r

substitute into ii

0.29(55,000-r) + 0.18r = 11,000

15950- 0.29r + 0.18r = 11,000

4950 = 0.11r

r = 4950/0.11

r = 45,000

d = 55,000 - r

d = 55,000 - 45,000

d = 10,000