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vazorg [7]
2 years ago
14

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Mathematics
1 answer:
Lerok [7]2 years ago
8 0

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

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A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
Phantasy [73]

Answer:

x≥(500-87)/40

Step-by-step explanation:

You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.

8 0
2 years ago
Playing tennis burns energy at a rate of about 25 kJ/min. Cycling burns energy at about 35kJ/min. Hans exercised by playing tenn
grigory [225]
To answer this, you need to make a systems of equations.

25x + 35y = 1450
x + y = 50 ----> y = 50 - x

25x + 35(50-x) = 1450
25x + 1750 - 35x = 1450
25x - 35x + 1750 = 1450
-10x + 1750 = 1450
- 1750 -1750

-10x = -300
x = 30


He played tennis for 30min


8 0
2 years ago
The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

f(x) = \lambda e^{-\lambda x} ; x > 0

Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean =  \frac{1}{\lambda}  

So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    P(X\leq x) = 1 - e^{-\lambda x}  ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  1 - e^{-\frac{1}{22} \times 30}

                         =  1 - 0.2557

                         =  0.7443

7 0
2 years ago
Which statement correctly describes the relationship between the graph of f(x)g(x) and g(x)=f(x−7)?
Lelu [443]
G(x) would have to be -->7 units.
The relationship between f(x) and s(x) where s(x)=af(x-b)+z is that g(x) is f(x) stretched by the reciprocal of a, b is the liar (all x values go up if b goes down and visa versa), and it moves up z units. 
4 0
2 years ago
Read 2 more answers
Jerry is filling a water tank which initially consists of 75 gallons of water. As the water is being pumped in, the water in the
labwork [276]

Answer:

The maximum amount of time is 48.2 minutes

Step-by-step explanation:

We can use the equation for a line

y = mx+b

the inital value is 75 gallons   ( that is b)

the slope is 2.5 gallons  (that is m)

We know that we want to fill it to 195.5 gallons ( that would be y)

195.5 = 2.5x +75

We are going to solve for x  (that is the number of minutes)

Subtract 75 from each side

195.5-75 = 2.5x +75-75

120.5 = 2.5x

Divide by 2.5 on each side

120.5/2.5 = 2.5x/2.5

48.2 =x

The maximum amount of time is 48.2 minutes

7 0
2 years ago
Read 2 more answers
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