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ira [324]
3 years ago
9

There are 27 students in a class. There are 5 less girls than boys. Let x = the number of boys and y = the number of girls. How

many boys and girls are in the class?
Mathematics
1 answer:
vredina [299]3 years ago
4 0

Answer:

Step-by-step explanation:

x + y = 27

We know that there are 5 less girls that boys, so:

x + (x-5) = 27

x + x - 5 = 27

Solve for x:

2x - 5 = 27

2x = 32

x = 16 boys

y = 11 girls

tell me if you see anything wrong

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Help is much needed!!!
icang [17]
Y - y1 = m (x + x1)

Solve for m by subtracting the y's and dividing them by the difference of the 2 x's.

-32 - 1 = -33
-8 - 3 = -11

Divide the two to get 3.

Use the first point (as instructed) and plug it into the equation.

y - (-32) = 3 (x - (-8))

y + [32] = [3] (x + [5])

The brackets are the fill in the blanks.
5 0
3 years ago
Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.​
kicyunya [14]

Answer:

12% increase

Step-by-step explanation:

Divide the difference between the two prices by the original price:

1.05/8.95

= 0.12

So, the percent change is 12%

6 0
3 years ago
Find the value of x in the picture please
Marianna [84]

Answer:

Option B. The value of x is 20

Step-by-step explanation:

we know that

<u>The intersecting chords theorem</u>  states that the products of the lengths of the line segments on each chord are equal.

so

In this problem

(x)(x-11)=(x-8)(x-5)\\x^{2}-11x=x^{2}-5x-8x+40\\-11x=-13x+40\\2x=40\\x=20

3 0
3 years ago
Using the change-of-base formula, which of the following is equivalent to the
Otrada [13]

Given:

The logarithmic expression is:

\log_718

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

\log_ba=\dfrac{\log_ca}{\log_cb}

The given expression is:

\log_718

Using the change-of-base formula, we get

\log_718=\dfrac{\log_c18}{\log_c7}

Where, is a constant and c>0.

Let c=10, then

\log_718=\dfrac{\log_{10}18}{\log_{10}7}

Therefore, the correct option is a.

3 0
2 years ago
Sam uses text messaging to communicate. The table below represents a proportional relationship between the number of words Sam t
kompoz [17]

Answer:

y= 60x

Step-by-step explanation:

I hope this helps good luck

3 0
3 years ago
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