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dexar [7]
3 years ago
5

If a factory can produce 410 sandwiches in 1 hour, how many sandwiches will it produce in 5 hours?

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

The answer is 2050 I believe

Every hour the factory makes 410 sandwiches so if we multiply this by 5 we should get our answer

410 x 1= 410

410 x 2= 820

410 x 3= 1230

410 x 4= 1640

410 x 5= 2050

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sophia is 6 years older than her brother eric. the sum of their ages is 28. write and solve an equation to find sophia and Eric'
zimovet [89]

s = 6 + e

s + e = 28

We can use this system of equations to find the exact values of s and e.

We have a current value of s, so we can find the exact value of e now.

e + e + 6 = 28

<em><u>Combine like terms.</u></em>

2e + 6 = 28

<em><u>Subtract both sides by 6.</u></em>

2e = 22

<em><u>Divide both sides by 2.</u></em>

e = 11

Now we have an exact value of e, and can solve for the value of s.

s = 6 + 11

s = 17

Sophia is 17 years old, and Eric is 11 years old.


6 0
3 years ago
Explain how to determine which numbers must be excluded from the domain of a rational expression. Please provide an example with
Katarina [22]

Answer:

  • When we are having a rational expression i.e. a expression of the type:

\dfrac{f(x)}{g(x)}

Where f(x) and g(x) are polynomial functions.

Now the domain of this rational expression is whole of the real numbers except the points where the function g(x) will be zero.

Hence we have to exclude the points where the given denominator quantity is zero.

  • Let us consider an example as:

  Let R(x) denote the rational function as:

R(x)=\dfrac{x^2}{(x-2)(x-3)}

Now the domain of this rational function will be whole of the real line minus the points where the denominator is zero.

We know that (x-2)(x-3) is zero when x=2 or x=3.

Hence, the domain of R(x) is: R- {2,3}.

7 0
3 years ago
Find all the real values of X for which f(x)=0 <br><br> F(x)= x^3-x
Natalka [10]

Answer:

x=0,1,-1

Step-by-step explanation:

It factors as

X(x+1)(x-1)=0

5 0
3 years ago
Express the fraction in simplest form.
blagie [28]
4/16 in simplest form:

First, we need to find the greatest common factor (GCF) of 4 and 16. Why? We have to find the number that we are going to be dividing the numerator and denominator by to get the simplest form of the fraction. Let's list the factors for 4 and 16:

Factors of 4: 1, 2, 4
Factors of 16: 1, 2, 4, 8, 16

Out of the two sets of factors, which ones are the common ones? The common factors between the two are 1, 2, and 4. Since we are looking for the GREATEST common factor, we have to look at the highest number out of 1, 2, and 4. The GCF is 4, since 4 is higher than 1 and 2.

Second, we now have a number that we are going to divide the numerator and denominator by, which is 4. The numerator is the top number of the fraction (4) and the denominator is the bottom number of the fraction (16).Let's divide now.

4 \div 4 = 1 \\ 16 \div 4 = 4

Third, we now have the simplified fraction. (1) is our new numerator, and (4) is our new denominator. This makes the new simplified fraction 1/4. So, your answer is C.

Answer in fraction form: \fbox {1/4}
Answer in decimal form: \fbox {0.25}
4 0
3 years ago
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Ten qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hir
hram777 [196]
3/30 (I think) they have a 1/10 of picking the youngest, so that times three
7 0
3 years ago
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