There were 1200 boys at a school assembly. The ratio of boys to girls at the assembly was 20:23. How many girls were at the assembly?

Answers

Answer 1

Answer:

The required number of girls in the school assembly is 1380.

Given,
There were 1200 boys at a school assembly. The ratio of boys to girls at the assembly was 20:23. Number of girls in the assembly line is to be determined

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Representation of ratio of two values a and b, ratio = a:b.

Let the number of girls in the school assembly be x.
There were 1200 boys at a school assembly. The ratio of boys to girls at the assembly was 20:23. So the ratio can be written as,
1200 : x = 20 : 23
1200 / x = 20 / 23
x = 1200 * 23 / 20
x = 60 * 23
x = 1380
Here, the number of girls in the school assembly is 1380.

Thus the required number of girls in the school assembly is 1380.

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Answer 2

Answer:

I believe the answer is 1,600 girls

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What is the value of the 5 in 3,156

Answers

the value of 5 in 3,156 is 50

If the quadratic equation x^2 + 18x +74=0 is rewritten in the form (x-p)^2 = Q what is the value of Q?A) -155

B) -74

C) 7

D) 9

Answers

If the quadratic equation x^2 + 18x +74=0 is rewritten in the form (x-p)²= Q. Then the value of Q is 7.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

The quadratic equation $\rm x^(2) + 18 x + 74 = 0$ .

How to find the value of Q?

If the quadratic equation $\rm x^(2) +18x +74=0$ is rewritten in the form

$\rm (x - p)^2 = Q$

Add and subtract 9² in the equation.

$\rm x^2 + 18x + 9^2 - 9^2 + 74 =0$

We know the formula

$\rm (a + b)^2 = a^2 + 2ab + b^2$

Then equation will be

$\begin{aligned} \rm (x + 9)^2 - 81 + 74 &= 0\n\ \ \ \rm (x + 9)^2 - 7 &= 0\end{aligned}$

Add 7 both the sides, then

$\rm (x + 9 )^2 = 7$

Thus the value of Q is 7.

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The value of Q "option C) 7" is correct option.

Step-by-step explanation:

The given quadratic equation:

$x^2 - 18x +74=0$

To find, the value of Q = ?

$x^2 - 18x +74=0$

Adding both sides 81, we get

$x^2 - 18x +81+74=81$

⇒ $x^2$ - 2(x)8 + $9^2$ = 81 - 74

Using the algebraic identity,

$(a-b)^(2) =a^(2) +b^(2) -2ab$

⇒ $(x-9)^(2) =7$ is the form of $(x-p)^2 = Q$

Here, P = 9 and Q = 7

Thus, the value of Q "option C) 7" is correct option.

List the partial products of 35x7

Answers

To find the partial products you multiply 7 times each digit of 35, taking into account the place value of each digit. The 5 is in the unis so its value is 5. The 3 is in the tens place, so its value is 3 * 10 = 30. Then the partial products are: 7 * 5 = 35 and 7 * 30 = 210, so the total product is the sum of the partial products: 35 + 210 = 245.

Final answer:

The partial products of 35×7 are 35 and 210. They are obtained by multiplying 7 by 5 and 7 by 30 respectively. The sum of these partial products gives the final product of 245.

Explanation:

In Mathematics, the process of multiplication can be broken down into steps called partial products. When you are multiplying 35 by 7, you could break this down into two steps based on the digits of the number 35 which are 30 and 5. First, multiply 7 by 5 (the one place of 35) to get 35. Secondly, multiply 7 by 30 (the tens place of 35) to get 210. These are your partial products, 35 and 210. When added together, they give the product of the original multiplication problem, 245.

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The audience thinks 30% of Brandon's jokes are funny. What fraction of Brandons jokes does the audience think are funny?

Answers

Answer: 3/10

Step-by-step explanation:

3/10 • 100 = 30%

It is 3/10 because 30 divided by 100 is proportional

Confused, and there's a test tomorrow. "Write (5+ 2yi) (4-3i)- (5-2yi) (4-31) in a a + bi form, where y is a real number"

Answers

Answer:

12y +16yi

Step-by-step explanation:

The thing about complex numbers is that you can treat them as binomials and use all of the things you know about multiplying and factoring polynomials.

Here, we assume you have ...

(5 +2yi)(4 -3i) -(5 -2yi)(4 -3i)

The factor (4 -3i) can be factored out, so you have ...

= ((5 +2yi) -(5 -2yi))(4 -3i)

= (4yi)(4 -3i)

= 16yi -12yi²

At this point, the definition of i comes into play, and you replace i² with -1.

= 12y +16yi

The solution set of which of the following equations isthe set of real numbers that are 5 units from −3 ?
F. |x + 3| = 5
G. |x − 3| = 5
H. |x + 5| = 3
J. |x − 5| = 3
K. |x + 5| = −3

Answers

$F.\ |x+3|=5\n\nbecause:\n\n|x+3|=5\iff x+3=5\ \vee\ x+3=-5\n\nx=5-3\ \vee\ x=-5-3\n\nx=2\ \vee\ x=-8\n\n|-3-2|=|-5|=5\n|-3-(-8)|=|-3+8|=|5|=5$

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Using number and symbols solve, 7x = 42