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kobusy [5.1K]
3 years ago
11

3/5 of the pupils in Year 9 say their favourite colour is red.

Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0

Answer:

48

Step-by-step explanation:

Since 80 pupils is the total amount of pupils in Year 9...

5/5 = 80

1/5 = 80 ÷ 5 = 16

3/5 = 16 x 3 = 48 (The amount of pupils who said red is their favourite colour in Year 9)

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You are swimming each 25 yard length of a swimming pool 3 seconds faster than your personal best. What integer represents your c
stealth61 [152]

To solve this problem you must apply the proccedure shown below:

1- The problem says that you are swimming each 25 yard length 3 seconds faster than your personal best and you have to calculate the change in time (which you can call x) of your personal best after 200 yards.

2- To calculate this, you must multiply 200 yards by 3 seconds and divide by 25 yards, as following:

x=\frac{(200yd)(3s)}{25 yd}=24s

Therefore, the answer is: 24 seconds.

7 0
3 years ago
Solve e^x &gt; 2.7<br> A. x&lt;0.9933<br> B. x&gt;0.9933<br> C. x&gt;1.0668<br> D. x&lt;1.0668
Dovator [93]

Answer:

B. x > 0.9933

Step-by-step explanation:

I graphed the equation on the graph below to show you the value of x that makes the equation true.

If this answer is correct, please make me Brainliest!

4 0
3 years ago
Read 2 more answers
HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!
Mumz [18]

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

3 0
3 years ago
PLEASE HELP ME!! FIND THE VOLUME OF X
sineoko [7]

Answer:

x = 6

Step-by-step explanation:

So thee cube is just x^3

The cube root of 216 is 6

7 0
3 years ago
22. Write the equation in Slope-Intercept form of the line with an x-intercept of 2
Thepotemich [5.8K]

Answer:

y = \frac{1}{2} x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, - 1) ← coordinates of intercepts

m = \frac{-1-0}{0=2} = \frac{-1}{-2} = \frac{1}{2}

The y- intercept is - 1 ⇒ c = - 1

y = \frac{1}{2} x - 1

5 0
3 years ago
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