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emmainna [20.7K]
3 years ago
15

Evie and her father are comparing their ages. At the current time, Evie's father is 36 years older than her. Theee years from no

w, Evie's father will be five times her age at that point. How old is Evie now?
Mathematics
1 answer:
artcher [175]3 years ago
7 0
Let F be the father's current age, and E be Evie's current age.
F = E + 36                 this is the current relation between the ages
F + 3 = 5(E + 3)        this the relationship in 3 year (hence the + 3)
Then solve by substituting one equation into another:
(E + 36) + 3 = 5(E + 3)
         E + 39 =  5E + 15
                24 = 4E
                  6 = E
Evie's current age is 6.
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3 years ago
. If m 4 = 105, then what is m 8?
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I believe the answer is 210 because 1m= 26.25 and that x's 8= 210


7 0
3 years ago
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Please help me. ASAP.Please I need answer step-by-step.
nikitadnepr [17]

so this is how i was taught the inverse function.  f(x) is basicly the same thing as saying y

so y=x over x+3  

you switch the top x with y so it turns in to x=y over x+3

the problem should tell you what x equals so substitute x with the number it equals and then solve

here is an example f(x)=x over x+3 and x=14

x=y over x+3

14=y over 14+3

the inverse inverse function would probably be just solve the equation so just substitute the number they give you for x in for x

4 0
3 years ago
Can someone help me find the slope?
kipiarov [429]

Answer:

Undefined

Step-by-step explanation:

First, take 2 points from the table given, then you use the equation y2-y1/x2-x1 to find your slope. So, if I take the coordinates (7,1) and (7,2) and plug them into my equation, I would get 2-1/7-7. If you solve this equation, you will end up wil 1/0. Now, if you have something like this as your answer, you can not find your slope. There can not be a slope because the zero is at the bottom, making this "Undefined".

7 0
3 years ago
A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin
Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

Solution :

We have given,

Mean \mu=50

The sample mean x=55

A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

i.e. P(X>55)=14%=0.14

The total probability needs to sum up to 1,

P(X\leq 55)=1-P(X>55)

P(X\leq 55)=1-0.14

P(X\leq 55)=0.86

The z-score value of 0.86 using z-score table is z=1.08.

Applying z-score formula,

z=\frac{x-\mu}{\sigma}

Where, \sigma is standard deviation

Substitute the values,

z=\frac{x-\mu}{\sigma}

1.08=\frac{55-50}{\sigma}

1.08=\frac{5}{\sigma}

\sigma=\frac{5}{1.08}

\sigma=4.62

The standard deviation of weight for this species of cockroaches is 4.62.

4 0
3 years ago
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