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3 years ago

5

A recipe requires 4 cups of flour to make 12 servings and 7 cups of flour to make 21 servings. How many cups of flour is needed

to make 18 servings

1 answer:

grandymaker [24]3 years ago

6 0

Answer:

6

Step-by-step explanation:

to get cups to servings multiply by 3

if you need 18 servings then divide by 3

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A store is having a sale where everything is discounted 30% find the discount and sales price if a customer buys an item that no

frez [133]

Answer:

£465.50

Step-by-step explanation:

$\frac{30}{100} of 665\\$

Divide the bottom: 665 / 100 = 66.5

66.5 x 30 = 1995

Divide by a hundred

199.5

665 - 199.5 = £465.50

7 0

3 years ago

Derivatives concept:<br> Exercises using the definition of derivatives:<br><br> (Full development)

krok68 [10]

(A) <em>f(x)</em> = 7 is constant, so <em>f(x</em> + <em>h)</em> = 7, too, which makes <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 0. So <em>f'(x)</em> = 0.

(B) <em>f(x)</em> = 5<em>x</em> + 1 ==> <em>f(x</em> + <em>h)</em> = 5 (<em>x</em> + <em>h</em>) + 1 = 5<em>x</em> + 5<em>h</em> + 1

==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 5<em>h</em>

Then

$\displaystyle f'(x) = \lim_{h\to0}\frac{5h}h = \lim_{h\to0}5 = 5$

(C) <em>f(x)</em> = <em>x</em> ² + 3 ==> <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 3 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 3

==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ²

$\implies\displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2}h = \lim_{h\to0}(2x+h) = 2x$

(D) <em>f(x)</em> = <em>x</em> ² +<em> </em>4<em>x</em> - 1 ==> <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 4 (<em>x</em> + <em>h</em>) - 1 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 4<em>x</em> + 4<em>h</em> - 1

==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ² + 4<em>h</em>

$\implies \displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2+4h}h = \lim_{h\to0}(2x+h+4) = 2x+4$

5 0

3 years ago

Solve x2 + 2x = 4 for x by completing the square. x equals plus or minus square root of 5 plus 1 x equals plus or minus square r

steposvetlana [31]

Answer:

x equals plus or minus square root of 5 minus 1

Step-by-step explanation:

we have

$x^{2} +2x=4$

Divide by 2 the coefficient of the x-term

$2/2=1$

squared the number

$1^2=1$

Adds both sides

$x^{2} +2x+1=4+1$

$x^{2} +2x+1=5$

Rewrite as perfect squares

$(x+1)^{2}=5$

take the square root both sides

$x+1=(+/-)\sqrt{5}$

$x=(+/-)\sqrt{5}-1$

therefore

x equals plus or minus square root of 5 minus 1

4 0

3 years ago

Which of the following box-and-whisker plots represents the data set given below?

gulaghasi [49]

Answer:

100.1

Step-by-step explanation:

Because it has 100 on the number line.

Hope that helps

6 0

3 years ago

What is the least common denominator for 1/9 and 5/2

schepotkina [342]

Answer: 18

Step-by-step explanation:

1/9 = 2/18

5/2 = 45/18

6 0

2 years ago