You make punch for a party. The ratio og ginger ale to fruit juice is 8 cups to 3 cups. You decide to add 4 more cups of ginger ale. How many more cupsof fruit juice do you need to keep the correct ratio.
Answers
Answer 1
Answer:
To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3 /:8
x=
x=
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3 /:8
x=
x=
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.
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Answers
Positive six and negative sixteen
Answers
Answer:
11
Step-by-step explanation:
(-2)^2-2(-2)+3
(-2)(-2)+4+3
4+4+3
8+3
11
Answers
90-48 = 42
3 units = 42
1 unit = 14
48-14=34
3 units = 42
1 unit = 14
48-14=34
Answers
1. Slope intercept form is y=mx+b, where m is slope and b is y-intercept.
It gave you point (8,12) and slope of -2.
So you already know the value of m, so so far it's y = -2x + b.
Plug the coordinates as x and y: 8 for x and 12 for y.
12 = -2(8) + b
12 = -16 + b
28 = b
Adding b in, you get y = -2x + 28
2. Find the slope, then use point-slope form.
Slope is change in y over change in x, or (y2-y1)/(x2-x1).
m = (9-1)/(2-3) = 8/(-1) = -8
Point slope form: y - y1 = m(x - x1)
y - y1 = -8(x - x1)
Now plug in either of the coordinates as x1 and y1, let's do (3,1).
y - 1 = -8(x - 3)
y - 1 = -8x + 24
y = -8x + 25
3. Do it the same way as number 2. Choose two points, for example (1,1) and (2,-2). You find m = -3 and get final answer as y=-3x + 4.
4. B = 150 + 80d
B is account balance, d is number of monthly deposits.
If you rearrange the terms: B = 80d + 150, you see that that is in slope-intercept form y = mx+b, and if you remember from #1 m is the slope. In this case, the variables are changed, so d is the slope here. And the question told you that d, the slope, is the number of monthly deposits. Its coefficient is 80, so Bianca deposits $80/month.
5.
14a + 16b = 560
16b = 560 - 14a
b = (560 - 14a)/16
b = 560/16 - 14a/16
b = 35 - (7/8)a
b = -(7/8)a + 35
It gave you point (8,12) and slope of -2.
So you already know the value of m, so so far it's y = -2x + b.
Plug the coordinates as x and y: 8 for x and 12 for y.
12 = -2(8) + b
12 = -16 + b
28 = b
Adding b in, you get y = -2x + 28
2. Find the slope, then use point-slope form.
Slope is change in y over change in x, or (y2-y1)/(x2-x1).
m = (9-1)/(2-3) = 8/(-1) = -8
Point slope form: y - y1 = m(x - x1)
y - y1 = -8(x - x1)
Now plug in either of the coordinates as x1 and y1, let's do (3,1).
y - 1 = -8(x - 3)
y - 1 = -8x + 24
y = -8x + 25
3. Do it the same way as number 2. Choose two points, for example (1,1) and (2,-2). You find m = -3 and get final answer as y=-3x + 4.
4. B = 150 + 80d
B is account balance, d is number of monthly deposits.
If you rearrange the terms: B = 80d + 150, you see that that is in slope-intercept form y = mx+b, and if you remember from #1 m is the slope. In this case, the variables are changed, so d is the slope here. And the question told you that d, the slope, is the number of monthly deposits. Its coefficient is 80, so Bianca deposits $80/month.
5.
14a + 16b = 560
16b = 560 - 14a
b = (560 - 14a)/16
b = 560/16 - 14a/16
b = 35 - (7/8)a
b = -(7/8)a + 35
Answers
0.25 = 6
Do that equation and you get 24.
Do that equation and you get 24.
The answer is twenty four
Answers
1 kg of potatoes costs x, 1 kg of carrots costs y.
8x+5y=28 | :(-4)
2x+3y=11,2
-2x-1,25y=-7
2x+3y=11,2
3y-1,25y=11,2-7
1,75y=4,2
y=2,4
1 kg of carrots costs $2,4.
1 kg of potatoes costs:
2x+3*2,4=11,2
2x+7,2=11,2
2x=11,2-7,2
2x=4
x=2
1 kg of potatoes costs $2
8x+5y=28 | :(-4)
2x+3y=11,2
-2x-1,25y=-7
2x+3y=11,2
3y-1,25y=11,2-7
1,75y=4,2
y=2,4
1 kg of carrots costs $2,4.
1 kg of potatoes costs:
2x+3*2,4=11,2
2x+7,2=11,2
2x=11,2-7,2
2x=4
x=2
1 kg of potatoes costs $2