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3 years ago

1. Evaluate 7m + 3mn; when m=8 and n=14?

Mathematics

1 answer:

FrozenT [24]3 years ago

3 0

Answer:

1. 392

2. 75

3. $12x^{2} - 5x -2$

Step-by-step explanation:

1. 7×8 + 3×8×14 = 56 + 336 = 392

2. 675 ÷ (6 + 3) = 675 ÷ 9 = 75

3. $12$ $x^{2}$ + $3x -$ $8x - 2$ = $12x^{2} -5x-2$

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Eddies towing company charges $40 to hook a vehicle to the truck and $1.70 for each mile the vehicle is towed. Which equation be

andreev551 [17]

Answer:

Step-by-step explanation:

$40 is the flat fee of hooking a vehicle. It does not depend on m, miles towed.

$1.70 depends on miles towed, m. So if m miles are towed, the towing fee would be 1.70 * m, or 1.70m.

THAT, would be added to the initial fixed me of $40.

Hence, total charges, c, would be 40 + 1.70m

Answer choice B is right.

4 0

3 years ago

Write the slope and y intercept of each equation:

vichka [17]

Answer:

A) slope = 2, y-intercept = -6

B) slope = -4, y-intercept = 6

Step-by-step explanation:

A) y = 2x - 6

The equation for a line is y = mx + b, where m represents the slope, and b represents the y-intercept. So, to find the slope and y-intercept, all we have to do is look at the line's equation.

Here, the m is 2, so the slope is 2

The b is -6, so the y-intercept is -6

B) y = -4x + 6

Here, the m is -4, so the slope is -4

The b is 6, so the slope is 6

You would graph the equation y = 4x + 6 by plotting a point at the y-intercept of the line, which would be 6. Then, for every time you move one space to the right, you'd plot a point four spaces up to show the slope of four.

7 0

3 years ago

Yall please help me!!!I need to know the answer soon!yall please

tankabanditka [31]

Answer:

108

Step-by-step explanation:

find the volume of the cooler:

V=πr²h

π×6²×16= 1809.56

find the volume of the cup:

V=πr²(h/3)

π×2²×(4/3)= 16.76

divide the volume:

1809.56/16.76= 107.969

Assuming that the cooler is full to the max, and cups are filled almost to the top, the cooler contains 108 cups of water.

5 0

3 years ago

Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable

wel

This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = $\frac{999,999}{6} = 166666$
N(c₂) = $\frac{999,999}{4} = 250000$
∴N(c₁c₂) = $\frac{999,999}{24} = 41667$
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4

8 0

3 years ago

2. (04.01) Which point could be removed in order to make the relation a function? (4 points) {(-9, -8), (-8, 4), (0, -2), (4, 8)

damaskus [11]

Answer:

We are given order pairs (–9, –8), (–{(8, 4), (0, –2), (4, 8), (0, 8), (1, 2)}.

We need to remove in order to make the relation a function.

Step-by-step explanation:

Note: A relation is a function only if there is no any duplicate value of x coordinate for different values of y's of the given relation.

In the given order pairs, we can see that (0, –2) and (0, 8) order pairs has same x-coordinate 0.

So, we need to remove any one (0, –2) or (0, 8) to make the relation a function. hope this helps you :) god loves you :)

8 0

3 years ago