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mamaluj [8]
3 years ago
7

There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3

packs. Drag an expression to answer each question
Mathematics
1 answer:
IgorC [24]3 years ago
8 0

Answer:

6 pencils

18 pencils

Step-by-step explanation:

Given that

36 pencils are in 6 packs

Number of packs = 6

Number of pencils = 36

Number of pencils per pack :

Number of pencils / number of packs :

36 / 6 = 6

Hence, 6 pencils per pack

Number of pencils in 3 packs :

Since 6 pencils are in a pack ;

Then, 3 packs = (3 * 6) = 18 pencils

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What is a rational number?
yuradex [85]

Answer:a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

8 0
3 years ago
The coordinate plane below represents a city. Points A through F are schools in the city.
astra-53 [7]
Part A:
<span>a system of inequalities that only contain points D and E in the overlapping shaded regions is
5y + 2x > 12
2y - x < 12

Part B:
To verify that points D and E are solutions to the system of inequalities, we plug in the coordinate points of points D and E into the system of ineaqualities.

Part C:
</span>To <span>identify the schools that Timothy is allowed to attend we plug in the coordinate values of the points to see which satisfies the inequality y < 3x - 3. Thus Timothy is allowed to attend schools C and F.</span>
7 0
3 years ago
Consider the function and its inverse.
Ber [7]

Answer:

The domain of f(x) is restricted to x\leq 0, and the domain of f^{-1}(x) is restricted to x\geq 4.

Step-by-step explanation:

From Function Theory we know that domain of a function is the set of values such that an image exist. Let f(x) = x^{2}+4 and f^{-1}(x) = \sqrt{x-4} the function and its inverse, respectively.

At first glance we notice that function is a second order polynomial and every polinomial is a continuous function and therefore, there exists an image for every element of domain.

But domain of its inverse is restricted to every value of x so that x-4 \geq 0, which means that x\geq 4.

Finally, we concluded that following answer offers the best approximation to our result:

The domain of f(x) is restricted to x\leq 0, and the domain of f^{-1}(x) is restricted to x\geq 4.

6 0
3 years ago
Find x.<br> A) 3 <br> B) 4 <br> C) 5 <br> D) 6
Verdich [7]
Its the first one: Letter A
8 0
3 years ago
Read 2 more answers
If f(x) = x2, then f(4) = 42 = 16. Find:<br> a. f(1)<br> b. f(-3)<br> c. f(t)
icang [17]

Answer:

Step-by-step explanation:

f(x) = x²

f(4) = 4² = 16

f(1) = 1² = 1

f(-3) = -3² = 9

f(t) = t²

Always wise to us the ^ symbol to represent powers to avoid confusion

4^2 = 4² = 16

-3^2 = 9

t^2

if you are on a PC, the square symbol (²) can be typed by holding down the "alt" key while pressing and releasing "2","5","3" on the keypad, then release "alt". Unfortunately this does not work if you only have the row of numbers on the keyBoard to work with.

4 0
2 years ago
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