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slega [8]
4 years ago
14

A) How many cups of flour are there in 6 servings? How many cups of flour are there per serving? Show your work. (2 pts)

Mathematics
1 answer:
Serjik [45]4 years ago
3 0
A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings

A) How many cups of flour are there in 6 servings? 1 1/2 cups
How many cups of flour are there per serving? Show your work. (2 pts)
1 1/2 ÷ 6 = 3/2 x 1/6 = 3/12 = 1/4 cups for 1 serving

b) How many total cups or sugar (white and brown) are there in 6 servings?
3/4 + 1/3 = 9/12 + 4/12 = 13/12 = 1 1/12
How many cups of sugar are there per serving? Show your work. (2 pts)
1 1/12 ÷ 6 = 13/12 x 1/6 = 13/72 cups of white and brown sugar


c) Suppose you modify the recipe so that it makes 8 servings. How much more flour do you need if you already have enough for 6 servings. Show your work. (2 pts)

Flour for 6 servings = 1 1/2 cups
Flour for 1 serving = 1/4 cups
Flour for 8 servings = 1/4 x 8/1 = 8/4 = 2 cups for 8 servings
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4x - 8y + 2z = 10<br> -3x + y – 2z = 6<br> 2x – 4y + z = 8
pav-90 [236]

Answer:

100900000099899887765544422

6 0
3 years ago
Let (-8,3) be a point on the terminal side of theta. Find the exact values of cos theta, csc theta, and tan theta
Aleks04 [339]
Start by drawing a right triangle with legs matching the given point.
Horizontal leg = -8, Vertical leg = 3
The hypotenuse should be identical to a line going from given point to origin.

Next, use pythagorean theorem to find length of hypotenuse.
= sqrt((-8)^2 + 3^2) = sqrt(64+9) = sqrt(73)

Finally use trig ratios for cos, csc, and tan. (csc = 1/sin)
SOH --> sin = opp/hyp = 3/sqrt(73)
csc = 1/sin = sqrt(73)/3

CAH---> cos = adj/hyp = -8/sqrt(73) = (-8*sqrt(73))/73

TOA ---> tan = opp/adj = -3/8
6 0
3 years ago
A line has a slope of -3/5. Which ordered pairs could be points on a parallel line? Select two options.
NARA [144]

The question is missing the options. The options are:

(A) (-8, 8) and (2, 2)

(B) (-5, -1) and (0, 2)

(C) (-3, 6) and (6.-9)

(D) (-2, 1) and (3,-2)

(E) (0, 2) and (5,5)

Answer:

Options (A) and (D)

Step-by-step explanation:

Given:

A line with slope (m) = -\frac{3}{5}

Now, a parallel line to the given line will have the same slope.

So, let us check each of the given options.

Option (A)

(-8, 8) and (2, 2)

The slope of line passing through two points (x_1,y_1)\ and\ (x_2,y_2) is given as:

m=\dfrac{y_2-y_1}{x_2-x_1}

Now, the slope of a line passing through (-8, 8) and (2, 2) is given as:

m_1=\frac{2-8}{2-(-8)}=\frac{-6}{10}=-\frac{3}{5}

So, m=m_1

Therefore, option (A) is correct.

Option (B): (-5, -1) and (0, 2)

The slope of a line passing through (-5, -1) and (0, 2) is given as:

m_2=\frac{2-(-1)}{0-(-5)}=\frac{3}{5}

So, m\ne m_2

Therefore, option (B) is not correct.

Option (C): (-3, 6) and (6, -9)

The slope of a line passing through (-3, 6) and (6, -9) is given as:

m_3=\frac{-9-6}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}\ne m

Therefore, option (C) is not correct.

Option (D): (-2, 1) and (3, -2)

The slope of a line passing through (-2, 1) and (3, -2) is given as:

m_4=\frac{-2-1}{3-(-2)}=-\frac{3}{5}=m

Therefore, option (D) is correct.

Option (E): (0, 2) and (5, 5)

The slope of a line passing through (0, 2) and (5, 5) is given as:

m_5=\frac{5-2}{5-0}=\frac{3}{5}\ne m

Therefore, option (E) is not correct.

Hence, only options (A) and (D) are correct.

4 0
3 years ago
Read 2 more answers
Which is colder -2 degrees or -6 degrees
Anton [14]

Answer:

-6 degrees

Step-by-step explanation:

because the lower the number the more cold and -2 is more than -6

5 0
3 years ago
Read 2 more answers
The error is in the middle: 2(-12) = -24 not 24.
sergiy2304 [10]

Answer:

There is no question so I can not respond with a answer.

Step-by-step explanation:

4 0
3 years ago
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