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3 years ago

What value for w makes the equation 76+w=100 true?

Mathematics

2 answers:

algol133 years ago

7 0

Answer:

Step-by-step explanation:

Shalnov [3]3 years ago

6 0

Answer:

Step-by-step explanation:

If you want to find the value of an unknown variable, you can reverse the equation

Instead of having 76+w=100, trying shifting the signs around to make 100-76=w

In this case, we can easily do 100-76= w in which w is equal to 24

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Solve for x+.15x=3.45

blsea [12.9K]

15x=3.45
divide by 15 on both sides
x=3.3478

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3 years ago

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Describe in detail how you would create a number line with the following points: 3, 2.25, the opposite of 4, and – (–1 1/2).

Nezavi [6.7K]

First, I would create a number line that includes the number -4 to 4, with 1/4 notches (3 notches between each number).

For 3, I would count 3 numbers to the right from zero.

For 2.25, I would count 2 numbers from zero, plus one additional notch to the right. Remember that each notch represents 1/4, or 0.25.

For the opposite of 4, I would count 4 to the left to -4. The opposite of 4 is -4.

For -(-1 1/2), I would remember that this number is actually 1 1/2, since a negative times a negative number is positive. I would count one number to the right of zero, plus two notches.

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cbold%7B%5Cunderline%7B%5Cunderline%7BQuestion%3A%7D%7D%7D%7D" id="TexForm

Ronch [10]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

As in Binomial theorem :-

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3>Solution :-</h3>

$= {(4t - 3)}^{5}$

Hence, on using the Binomial theorem,

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

On formatting

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

On further formatting.

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

Hence, the required answer is :-

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

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3 years ago

What is the equation in slope-intercept form of the linear function represented by the table?

umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

i.e. (-2,11) and (4,5): $\frac{11-5}{-2-4}$ which is $\frac{6}{-6}$ , or -1. Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

7 0

3 years ago

Solve 1/5x+3=10. Show all work and check it

iren2701 [21]

1/5x + 3 = 10

Subtract by 3 on both sides.

1/5x = 7.

Now to isolate the variable, flip the coefficient in front of the variable and multiply both sides by it.

5(1/5x) = 7(5)

x = 7(5)
x = 35

Now to check:

1/5(35) + 3 = 10

35/5 + 3 = 10

35/5 is 7.

7 + 3 = 10

10 = 10

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4 years ago

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