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alukav5142 [94]

3 years ago

10

a cookie recipe calls for 2 1/4 cups of sugar for every 2/3 cups of flour.if you made a batch of cookies using 1 cup of flour ho

w many cups of sugar would you need

1 answer:

GenaCL600 [577]3 years ago

7 0

Figure out how many cups of sugar are in 1/3 cup flour: 9/4÷2= 9/4÷1/2= 1 1/8. Multiply by 3: 1 1/8x3= 9/8x3/1= 27/8= 3 3/8. 3 and 3/8 cup of sugar for 1 cup flour. :)

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What is cotangent of A divided by Tangent of A?

grin007 [14]

$tan A = \frac{1}{cot A} cot A = \frac{1}{tan A}$

$\frac{1}{cot A} / \frac{1}{tanA} =1$

4 0

3 years ago

108 = 9r<br> I need help with this plz

kondor19780726 [428]

Answer:

r = 12

Step-by-step explanation:

108 = 9r | Given expression

12 = r | Divide both sides by 9. 108 becomes 12 and 9r becomes r.

3 0

2 years ago

Read 2 more answers

A star in the sky appears to move by 12 arcseconds over the course of 6 months. Convert this number into first areminutes then d

Bumek [7]

Answer:

Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.

To Find :Convert this number into first arc minutes then degrees.

Solution:

60 arc seconds = 1 arc minute

1 arc seconds = $\frac{1}{60}$ arc minute

12 arc seconds = $\frac{1}{60} \times 12$ arc minute

12 arc seconds = $\frac{1}{5}$ arc minute

So, 12 arc seconds = $\frac{1}{5}$ arc minute

Now convert it into degrees

60 arc minute = 1 degree

1 arc minute = $\frac{1}{60}$ degree

$\frac{1}{5}$ arc minute = $\frac{1}{60} \times \frac{1}{5}$ degree

$\frac{1}{5}$ arc minute = $\frac{1}{300}$ degrees

12 arc seconds = $\frac{1}{300}$ degrees

8 0

3 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago

HELP!! PLEASE!!! THANK YOU!!

Blizzard [7]

Answer:

C. 8x - 3y = 5

Step-by-step explanation:

7 - 3(x - y) = 5x + 2

Standard form: Ax + By = C

7 -3x + 3y = 5x + 2

7 -8x + 3y = 2

-8x + 3y = -5

Divide by -1 to each number

8x - 3y = 5

6 0

3 years ago