The answer would be 14...
1 sack = 21 cups.
so 2 sacks would equal 42 cups because 21x2= 42
and it takes 3 cups of flour to make ONE batch of cookies. So 42 divided by 3 is 14. And that’s how you get your answer.
Answer:
The roots are +/- 5 and +/- 4i or 5, -5, 4i, -4i
Step-by-step explanation:
Begin by dividing through by - 3
-3x^4 / - 3 + 27x^2/-3 + 1200/-3 = 0
x^4 - 9x^2 - 400 = 0 This makes it easier to work with. Substitute
z = x^2
z^2 - 9z - 400 = 0 Factor
(z - 25)(z + 16) = 0 Put the x^2 back in
(x^2 - 25)(x^2 + 16)
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Factor x^2 - 25 using the difference of squares.
(x^2 - 25) = (x + 5)(x - 5)
x = +5 and x = - 5
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Factor x^2 + 16
x^2 + 16 = 0
x^2 = - 16 Take the square root of x^2 and -16
x = sqrt(-16)
x = +4i, x = - 4i
Answer
The roots are +/- 5 and +/- 4i
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Change to slope-intercept form:</u>
- 2x + 3y = 1470, isolate y
- 3y = -2x + 1470, divide all terms by 3
- y = -2/3x + 490
The slope is -2/3 and y-intercept is 490
<u>Functional notation, change y to f(x)</u>
To graph the line, plot the intercepts and connect with the line.
<u>If the total is $1593 for the next month, the function would be:</u>
<u>Changing to slope-intercept:</u>
The slopes are same, therefore the lines are parallel.
The difference is the y-intercept, it is greater in the next month.
The graphs are attached, with intercepts shown.
Answer:
1. 3cm
2. 6m
Step-by-step explanation:
If all angles are right angles, it means that both lengths on the right side add up to the length on the left side.
For the first one, the length on the left is 7cm, and there are two lengths on the right: 4cm and an unknown we can call 'x'.
We know that both of the right lengths add to the left length so we can represent this as so:
4+x=7
To solve for x we can minus 4 from both sides:
x+4-4 = 7-4
x = 7 -4
x = 3cm
We can solve the second one in a similar fashion:
x + 6 = 12
x + 6 - 6 = 12 - 6
x = 12 - 6
x = 6m
Hope this helped!
Answer:
The rose garden is 125.82 feet apart from the lily garden.
Step-by-step explanation:
See the attached diagram.
The position of Florence is A and the position of the rose garden and the lily garden forms a triangle Δ ARL.
Now, from the property of triangle, we can write
x² = 80² + 140² - 2 × 140 × 80 × Cos 63°
⇒ x² = 15830.61
⇒ x = 125.82 feet.
Therefore, the rose garden is 125.82 feet apart from the lily garden. (Answer)