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klasskru [66]
2 years ago
9

Graph the equation 4x+8y=16

Mathematics
2 answers:
Maslowich2 years ago
7 0
4x+8y=16
Move the 4x to the other side to put it into slope intercept form.
8y=-4x+16
Then divide by 8.
Y=-1/2x+2
The slope is -1/2 and the Y intercept is 2.

Marianna [84]2 years ago
5 0

Answer:

4x+8y=16

8y=4x+16

4/8. 16/8

y=1/2x+2

You might be interested in
Ella has 0.5 lb of sugar. how much water should she add to make the following concentrations? Tell Ella how much syrup she will
makkiz [27]

Answer:

For 50% syrup, add 0.5 lb of water for 1 lb of syrup; for 5% syrup, add 9.5 lb of water for 10 lb of syrup; for 75% syrup, add 0.17 lb of water for 0.67 lb of syrup; for 1.5% syrup, add 32.8 lb of water for 33.3 lb of syrup.

Step-by-step explanation:

Let x represent the amount of water added.  This means the total mass of the syrup is represented by 0.5+x.

To find percentages, we divide the part by the whole.  For a 50% syrup, we need the part (sugar) compared to the whole (sugar + water) to equal 50%, or 0.50:

Multiply both sides by 0.5+x:

Using the distributive property, we have

0.5 = 0.5(0.5)+0.5(x)

0.5 = 0.25+0.5x

Subtract 0.25 from each side:

0.5-0.25 = 0.25+0.5x-0.25

0.25 = 0.5x

Divide both sides by 0.5:

0.25/0.5 = 0.5x/0.5

x = 0.5

For 50% syrup, add 0.5 lb of water.  This makes the total mass 0.5+0.5 = 1 lb.

For 5% syrup, we change the equation to equal 0.05 (5% = 5/100 = 0.05) and leave everything else the same:

Multiply both sides by 0.5+x:

Using the distributive property,

0.5 = 0.05(0.5)+0.05(x)

0.5 = 0.025 + 0.05x

Subtract 0.025 from both sides:

0.5-0.025 = 0.025+0.05x-0.025

0.475 = 0.05x

Divide both sides by 0.05:

0.475/0.05 = 0.05x/0.05

x = 9.5

For 5% syrup, add 9.5 lb of water; the total mass will be 9.5+0.5 = 10 lb.

For 75% syrup, set the equation equal to 0.75:

Using the distributive property,

0.5 = 0.75(0.5)+0.75(x)

0.5 = 0.375 + 0.75x

Subtract 0.375 from each side:

0.5 - 0.375 = 0.375 + 0.75x - 0.375

0.125 = 0.75x

Divide both sides by 0.75:

0.125/0.75 = 0.75x/0.75

0.17 = x

For 75% syrup, add 0.17 lb of water; the total mass is 0.17+0.5 = 0.67 lb.

For 1.5% syrup, set the equation equal to 0.015:

Using the distributive property,

0.5 = 0.015(0.5) + 0.015(x)

0.5 = 0.0075 + 0.015x

Subtract 0.0075 from each side:

0.5-0.0075 = 0.0075 + 0.015x - 0.0075

0.4925 = 0.015x

Divide both sides by 0.015:

0.4925/0.015 = 0.015x/0.015

32.8 = x

For 1.5% syrup, use 32.8 lb of water; the total mass is 32.8+0.5 = 33.3 lb.

I hope this is right and have a good day

3 0
3 years ago
Read 2 more answers
Express 10000 in Index form​
9966 [12]

Answer:

10^4

Step-by-step explanation:

10×10×10×10=10,000, which is given number.

4 0
3 years ago
Using long division, what is the quotient of 3x^4 + 20x^3 + 14x^2 + 17x + 30 and x + 6 ?
Mariana [72]

Answer: D

The first: (x+6)(3x3+2x2+2x+5)

The second:

factor x+6

Cannot factor

Step-by-step explanation: hope this help

8 0
3 years ago
Read 2 more answers
Can someone please give me a thorough explanation of how to do this? It would help a lot if you did it fast. (If it's thorough e
mezya [45]
Hi there!
To write a equation of a graph, we must follow the formula y = mx + b, where m is the slope and b is the y-intercept. In this scenario, we can utilize this formula to get our answer. First, let's take a look at the y-intercept. To find this, we need to take a look at the graph. We can see that the line crosses the y-axis at the point (0,250). Hence, 250 will be our y-intercept. Now, we can move on to the slope. This can be found by first taking two points from our graph. Here are the two points I'll be using - (0,250)(2,200). Now, use the slope formula, which goes as m = y₂ - y₁ / x₂ - x₁. All we have to do is plug in the respective values from the coordinate points. We get - 

m = 200 - 250 / 2 - 0
m = -50 / 2
m = -25

Using the information we have derived, we can construct the equation y = -25x + 250. Usually, the answer should be written in standard form, which goes as Ax + By = C, where A, B, and C are numbers. Therefore, to derive y = -25x + 250 into standard format, we must add 25x to both sides. This gives us y + 25x = 250. Hope this helped and have a marvelous day!
4 0
3 years ago
The sum of three numbers is 12 . The sum of twice the first​ number, 3 times the second​ number, and 4 times the third number is
Harlamova29_29 [7]

Given:

The sum of three numbers is 12 .

The sum of twice the first​ number, 3 times the second​ number, and 4 times the third number is 37 .

The difference between 7 times the first number and the second number is 25.

To find:

The three number.

Solution:

Let the three numbers are x, y and z respectively.

According to the question,

x+y+z=12           ...(i)

2x+3y+4z=37         ...(ii)

7x-y=25           ...(iii)

From (iii), we get

-y=25-7x

y=-25+7x

Put y=-25+7x value in (i).

x+(-25+7x)+z=12

8x-25+z=12

8x+z=12+25

8x+z=37        ...(iv)

Put y=-25+7x value in (ii).

2x+3(-25+7x)+4z=37

2x-75+21x+4z=37

23x+4z=37+75

23x+4z=112          ...(v)

Now, Multiply equation (iv) by 4 and subtract the result from (v).

23x+4z-4(8x+z)=112-4(37)

23x+4z-32x-4z=112-148

-9x=-36

x=4

Put x=4 in (iv).

8(4)+z=37

32+z=37

z=37-32

z=5

Put x=4 in y=-25+7x.

y=-25+7(4)

y=-25+28

y=3

Therefore, the three numbers are 4, 3 and 5 respectively.

7 0
3 years ago
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