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scoray [572]
3 years ago
14

Helppppp pls and thankyouuu

Mathematics
1 answer:
Nataliya [291]3 years ago
3 0

Answer:

20 minutes on the stationary bike

10 minutes on the treadmill

Step-by-step explanation:

x = minutes on bike

y = minutes on treadmill

x + y = 30

12x + 15y = 390

x = 30-y

12(30-y) + 15y = 390

360 - 12y + 15y = 390

3y = 30

y = 10

x + 10 = 30

x = 20

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A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca
Alex787 [66]

Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

y(t)=y_0(1-r)^t

y(t)= Amount caffeine after t hours

y_0= Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, y_0 = 310 mg, r=35%=0.35, t= 5 hours

y(t)=310(1-0.35)^5

      =35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

3 0
4 years ago
Two ratios that are equivalent to 2 : 9
NeTakaya

Answer:

4 : 18, 8 : 36

Step-by-step explanation:

We multiply to find equal ratios.

2 x 2 = 4

9 x 2 = 18

4 x 2 = 8

18 x 2 = 36

We get 4 : 18, 8 : 36.

7 0
3 years ago
Read 2 more answers
What is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?
never [62]

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

so

x = (2 1/4) * (3 3/5) / (1 1/2)

7 0
3 years ago
A function is shown in the table.
Anna71 [15]
<span>Given:
x       g(x)
−3      17
−1      −3
0        −4
2        13

The true statement for the given function is:
</span><span>The function is decreasing from x = −3 to x = −1.
</span><span>
As you can see, when x = -3 the corresponding value of the function is 17 but when x = -1 the corresponding value is -3. There is a decrease of 20. </span>→<span>  17 - 20 = -3



</span>
3 0
3 years ago
Read 2 more answers
How many terms are in a^2-ab+8b+b^2-1
DanielleElmas [232]
Remember that the terms of a polynomial are the parts of the polynomial separating by addition and subtraction; in other words, the parts separated by (+) and (-) signs. Knowing this, we can separate the terms of our polynomial:
a^2-ab+8b+b^2-1
- First term: a^2
- Second term: -ab
- Third term: 8b
- Fourth term: b^2
- Fifth term: -1

We can conclude that there are 5 terms in the polynomial a^2-ab+8b+b^2-1.
8 0
3 years ago
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