What is the unit form using the largest unit possible for 4tens+6tens

In a school,3/5 of the pupils were boys and there were 240 girls. How many boys were in the school.

zepelin [54]

Answer:

If 2/5 is 240 then 1/5 is 120..multiply 120 by 5 which is 600 so...

600=total

Then..multiply 120 by 3 which will give the 3/5 boys which is 360 so...

360 boys

Step-by-step explanation:

8 0

2 years ago

Find the value of x in the triangle below

Tom [10]

Answer:

6.76

Step-by-step explanation:

applying pythogorem theorem

a^2+b^2=c^2

5^2+b^2=13^2

25+b^2=169

b^2=169/25

b^2=6.76^2

b=6.76

3 0

3 years ago

Faye pays her family phone bill, and Jonathan’s family phone bill with her card and jonathan pays her back. If Faye bill is $120

nika2105 [10]

Answer:

Jonathan has to pay Faye back US$ 240

Jonathan has 4 people on his bill and Faye has 6.

Step-by-step explanation:

1. Let's find out the amount of the phone bills, this way:

Total of the two bills = US$ 600

Faye's bill = US$ 120 more than Jonathan's

Jonathan's bill = x

Solving for x, we can use this equation:

x + x + 120 = 600

2x + 120 = 600

2x = 600 - 120

2x = 480

x = 480/2 = 240

Jonathan has to pay Faye back US$ 240

2. Let's find out the number of people on each bill, this way:

Faye has two people more on her bill than Jonathan

Number of people on Jonathan's bill = x

Number of people on Faye's bill = x + 2

We will use the following equation:

240 * (x + 2) = 360x

240x + 480 = 360x

240x - 360x = -480

-120x = - 480

x = -480/-120

x = 4 ⇒ x + 2 = 6

Jonathan has 4 people on his bill and Faye has 6.

5 0

3 years ago

Select the answer choice that equals the given expression. 8^-3 x 8^-2 x ^5

Alexus [3.1K]

Answer:

B) 1

Step-by-step explanation:

Given:

$8^{-3}\times 8^{-2}\times8^5$

We need to solve the given expression.

Now We know that when base of the exponents then the law of indices applied for the same.

Now According to Law of Indices.

$x^a\times x^b = x^{a+b}$

On Solving the above expression we get;

$8^{-3+(-2)+5}\\\\8^{-3-2+5}\\\\8^{-5+5}\\\\8^0\\\\\textrm{Now Again by law of indices;}\\\\a^0 =1\\\\Hence\ 8^0 = 1$

Hence The Simplified form of given expression is 1.

5 0

3 years ago

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

wolverine [178]

Answer:

x^4 - 14x^2 - 40x - 75.

Step-by-step explanation:

As complex roots exist in conjugate pairs the other zero is -1 - 2i.

So in factor form we have the polynomial function:

(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)

= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)

The first 2 factors = x^2 - 2x - 15 and

( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2

= x^2 + 2x + 1 + 4

= x^2 + 2x + 5.

So in standard form we have:

(x^2 - 2x - 15 )(x^2 + 2x + 5)

= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75

= x^4 - 14x^2 - 40x - 75.

7 0

3 years ago