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FrozenT [24]
2 years ago
13

Jamie, John, and Jake are on the prom committee. They are responsible for blowing up the balloons for prom night. John can blowu

p a balloon every 15 seconds while it takes Jamie and Jake 20 seconds per balloon. If 1 out of 80 balloons are found to be defected after they are inflated, Identify the expression which represents the number of balloons inflated per hour.
A) 592.5x
B) 592.5 - 1/80x
C) 600x - 1/80
D) 600 - 1/80x
Mathematics
1 answer:
san4es73 [151]2 years ago
6 0
First, pass all the rate of inflation to ballons/hour

John: 1 b/15s * 3600 s/h = 240 b/h
Jamie: 1 b/20s * 3600 s/h = 180 b/h
Jake: 180 b/h

Then sum the rates to obtain the total rate

Total ballons per hour: 240 b/h + 180 b/h + 180b/h = 600 b/h

If it passes x hours the number of ballons inflated is 600*x

The number of ballon defective are 600*x/80

The number of ballons effectiveley inflated = 600x -600x/80 = 600x - 7.5x = 592.5x.

Answer: option A)
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stans steakhouse has a sever to chef ratio of 5 to 2 the total number of severs and chefs is 42.How many severs does stans steak
amm1812

Answer:

30

Step-by-step explanation:

We need to figure out what 5 and 2 really mean in this scenario. So we add them together. 5+2=7

We then divide 42 by 7. 42/7=6

Afterward we multiple 5 by 6 to get the real number or servers. 5x6=30

And as a bonus (and also to check our work) we multiple 2 by 6. 2x6=12

5/2=30/12

8 0
2 years ago
How many ounces in a gallon?
e-lub [12.9K]
1 gallon = 160 ounces
7 0
3 years ago
Read 2 more answers
The point slope equation for this slope is 2
maw [93]
The point slope form is
y-y1=m(x-x1)
where
m=slope
and you are given a point (x1,y1)

we are iven that slope=2
and a poin is (3,10)
3=x1
10=y1
y-10=2(x-3)

the answer is
y-10=2(x-3)

4 0
2 years ago
Your answer must be simplified.
JulijaS [17]

Answer:

The simplified form is x\geq -99.

Step-by-step explanation:

Given : Expression \frac{x}{3}\geq -33

To find : The simplified expression ?

Solution :

Expression \frac{x}{3}\geq -33

Multiply 3 both side,

\frac{x}{3}\times 3\geq -33\times 3

x\geq -99

Therefore, the simplified form is x\geq -99.

8 0
2 years ago
A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s
Artemon [7]

Answer:

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age  \leq 3}\end{array}\right

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 0 \  \leq  age   \leq  2 }\\{0 \  \leq  age   \leq 3}\end{array}\right]

Also , the age transition matrix is as follows:

L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]

After 1 year ; the age distribution vector will be :

x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]  \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq 1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age   \leq  3}\end{array}\right

6 0
2 years ago
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