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stich3 [128]
4 years ago
11

You discover that you are over serving a dish because customers keep taking a third of it home. If the dish requires 4 ingredien

ts with 3 parts each to prepare for a total of 12 parts, how many parts would you need to subtract to reduce the dish to two-thirds its current size?
Mathematics
1 answer:
devlian [24]4 years ago
5 0

Answer:

4 parts

Step-by-step explanation:

If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3

To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:

12 * 1/3 = 12/3 = 4

You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.

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Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road
kobusy [5.1K]

Answer:

The correct answer is: y=\frac{1}{3} x + 20

Step-by-step explanation:

As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.

However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.

Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:

x_{toll\_road}=\frac{1}{3}x

<em>Without considering Ken getting late, </em>the equation would become the following:

y=\frac{1}{3} x --- (A)

<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).

In this case, it's 20 minutes; therefore, the equation (A) will become:

y=\frac{1}{3} x+20

Hence, the correct answer is y=\frac{1}{3} x + 20.

4 0
4 years ago
The table shows the battery life of four different mobile phones.
Ugo [173]
I'm going to go with c.10
3 0
3 years ago
Three randomly selected households are surveyed. the numbers of people in the households are 1,3,8 assume that samples of size n
Naily [24]
I assumed that 3 households are sampled.
Now, is the number in each of these households equal to 1, 3 and 8 people?

Next, the question says, samples of n=2 are randomly selected (with replacement) from these 3.

So are sample space is
11
13
31
33
18
81
38
88
83
88

This is done 9 times.
Is that how you understand the problem?
When they select the household with only 1 person, the variance is 0
When they select the household with 8 people, they variance will be from a discrete uniform distribution

Similarly for household with 3 individuals.



5 0
4 years ago
WILL MAKE THE BRAINLIEST   The conference table top shown is the shape of two trapezoids. The table top is wooden with a rectang
DaniilM [7]
Trapizoid area formula = (b1+b2)/2×h
rectangle formula =l×w
trapizoid 1: (12+16)/2×5
trapizoid 2: (12+16)/2×5
rectangle: 10×12
solve
t1 + t2:
(12+16)/2×5
28/2×5
14×5=70 +70=
140 ft^2

r: 10×12=120ft^2

140-120=20ft^2 of wood
8 0
3 years ago
I need help with this please
SpyIntel [72]

Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

4 0
3 years ago
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