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professor190 [17]
3 years ago
15

In a talent show of singing and comedy acts, singing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts an

d lasts 50 min. How many singing acts and how many comedy acts are in the show?

Mathematics
2 answers:
sineoko [7]3 years ago
4 0

Answer:

c=5


Step-by-step explanation:

5s + 3c = 50

s+c=12

5(12-c) + 3c=50

60-5c+3c=50

60-2c=50

-2c=-10

c=5

natka813 [3]3 years ago
3 0
The answer is 5. I've also given the working out if you need it. hope it helps :)

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Math question. Please have your answer simplified and in fraction form if needed.
e-lub [12.9K]

Answer:

4/16 = 2/8 = 1/4= 0.25

Step-by-step explanation:

3 0
3 years ago
A triangle's height is 10 feet more than its base. If the area of the triangle is 100 square feet, use factoring to find its dim
stiks02 [169]

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

Step-by-step explanation:

Height = base + 10

Area = 100 square ft

Area of a triangle= (1/2) (b) (h)

100 = (1/2) (b) (b + 10)

200 = b(b) + 10b

b(b) + 10b - 200 = 0

b(b) + 20b - 10b - 200 = 0

b ( b + 20) -10(b + 20) = 0

(b-10) (b+20) =0

b = 10 (or) b = -20

Here b is the length and cannot be negative.

So, b = 10ft

h = b + 10

h = 10 + 10

h = 20 ft.

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

6 0
3 years ago
What is the answer to (z+1)(z+2)
stich3 [128]

Answer:

z^1+3z+2

Step-by-step explanation:

(z+1)(z+1)

Multiply each term in the first parenthesis by each term in the second parenthesis

Z x z+2z+z+2

Calculate the product

<u>z</u>^2 +2z+z+2

collect like terms

z^2+3z+2

2z+z

If a term doesnt have a coefficient it is considered that the coefficient is 1

2z+1z

(2+1)z

(2+1)z

3z

z^2+3z+2

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
Evgesh-ka [11]
All you have to do is plug in the given values into the given equation and evaluate.

The expression is,

A(t) =  l{e}^{rt}
But we have to analyze the problem carefully. This is a natural phenomenon that can be modelled by a decay function. The reason is that, after every hour we expect the medicine in the blood to keep reducing.

Therefore we use the decay function rather. This is given by,


A(t) =  l{e}^{-rt}

where,

l = 100 \: milligrams

r =  \frac{14}{100}  = 0.14

and

t = 10 \: hours

On substitution, we obtain;

A(10) =  100 \times {e}^{ - 0.14 \times 10}


A(10) =  100 \times {e}^{ - 1.4}



Now, we take our calculators and look for the constant
e

,then type e raised to exponent of -1.4. If you are using a scientific or programmable calculator you will find this constant as a secondary function. Remember it is the base of the Natural logarithm.



If everything goes well, you should obtain;

A(10) =  100 \times 0.24659639


This implies that,


A(10) =  24.66

Therefore after 10 hours 24.66 mg of the medicine will still remain in the system.
3 0
3 years ago
HELP 20 PPOINTS
VARVARA [1.3K]
Hᴇʏ! Hope that I can help!
To do this, we need to divide the 70 people by the 2 people per minute.
70/2=35.

Answer: 35 minutes
If you were helped by my answer, remember that I worked really hard on it. Please click the [ ♥ ᴛʜᴀɴᴋs ] button below and give me a rating of ★★★★★ to show your appreciation.
7 0
3 years ago
Read 2 more answers
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