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LenKa [72]
2 years ago
12

76. 30 students at a sports event are

Mathematics
1 answer:
katrin2010 [14]2 years ago
4 0

Answer:

75 students

Step-by-step explanation:

So firstly lets make convert these words to alegbra :

30 people are 40%of the total students at the event meaning that the following equation can be made :

30 = 40% of x    (x is the unknown amount of students there)

30 = 40% * x

30 = 0.4x (we can convert the precentage into a decimal by dividing by 100)

Now that we have the equation that 30 = 0.4x we can evalute it and find x :

30=0.4x

30/0.4=0.4x/0.4 (divide by 0.4 on both sides)

75=x

So thats how we get that 75 students were in the event in total.

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Please help me ive never done one like this
inessss [21]

Given:

DE = (6x - 9) cm

EF = (4x + 4) cm

LM = 14 cm

MN = 16 cm

To find:

The value of x.

Solution:

<em>If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.</em>

$\Rightarrow \frac{DE}{EF} =\frac{LM}{MN}

$\Rightarrow \frac{6x-9}{4x+4} =\frac{14}{16}

Do cross multiplication.

$\Rightarrow 16( {6x-9})=14 ({4x+4} )

$\Rightarrow 96x-144=56 x+56

Add 144 on both sides.

$\Rightarrow 96x-144+144=56 x+56+144

$\Rightarrow 96x=56 x+200

Subtract 56x from both sides.

$\Rightarrow 96x-56x=56 x+200-56x

$\Rightarrow 40x=200

Divide by 40 on both sides, we get

$\Rightarrow x=5

The value of x is 5.

5 0
2 years ago
The height of a soccer ball that is kicked from the ground can
AveGali [126]

Answer:

87.5

Step-by-step explanation:

By completing the square,

y

=-14x^2+70x

=-14(x^2-5x)

=-14(x-5/2)^2+175/2

the max. height=175/2

i.e. 87.5

8 0
3 years ago
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GREYUIT [131]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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The diameter of a circle is 18 centimeters. What is the area? Give the exact answer in simplest form
alina1380 [7]

Answer:

254.47

Step-by-step explanation:

Formula is pi r^2

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pi 9^2

7 0
2 years ago
9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of
IceJOKER [234]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

A = P(1 + \frac{r}{n})^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

Learn more about Compound Interest:

brainly.com/question/25857212

#SPJ1

5 0
2 years ago
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