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devlian [24]
3 years ago
13

A certain recipe calls for 2​/3 cup of flour. A chef is making an amount that is 3​/5 of the recipe. How much flour should the c

hef​ use?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0
If he is making 3/5 of the recipe, then he needs 3/5 of the flour.
3/5 of 2/3...." of " means multiply
3/5 * 2/3 = 6/15 which reduces to 2/5
So the chef should use 2/5 cups of flour <==
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Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
Anika [276]

Answer:

C

Step-by-step explanation:

The line passes through the point (2, -1/2) and has a slope of 3.

We can use the point-slope form, given by:

y-y_1=m(x-x_1)

Where (x₁, y₁) is a point, and m is the slope.

Let (2, -1/2) be (x₁, y₁). We will substitute 3 for m. Therefore:

\displaystyle y-\Big(-\frac{1}{2}\Big)=3(x-(2))

Simplify:

\displaystyle y+\frac{1}{2}=3(x-2)

Therefore, our answer is C.

5 0
3 years ago
Find the value of the variable.​
ICE Princess25 [194]

Answer:

\large\boxed{x=3\sqrt5}

Step-by-step explanation:

Look at the picture.

ΔABC and ΔDBA are similar (AA). Therefore the sides are in proportion:

\dfrac{AB}{BC}=\dfrac{BD}{AB}

We have

AB=x,\ BC=5+4=9,\ BD=5

Substitute:

\dfrac{x}{9}=\dfrac{5}{x}             <em>cross multiply</em>

x^2=(9)(5)\to x=\sqrt{(9)(5)}\\\\x=\sqrt9\cdot\sqrt5\\\\x=3\sqrt5

3 0
3 years ago
The Great Pyramid of Giza is an example of a square pyramid and is the last
Setler79 [48]

Answer:

The surface area of the pyramid is 335,673 cubit² or 134,269,200 in.²

Step-by-step explanation:

Here we have that the formula for the lateral surface area of a square pyramid is given as follows;

Lateral surface area = 2 × b × h

Where:

b = Base length = 453 cubits

h = Slant height

∴ 260,928 = 2 × 453 × h

Hence;

h = (260,928)/(2 × 453) = 288 cubits

We therefore have

Length of side, s  = 453 cubits = 453*20 inches = 9060 in.

Slant height = 288*20 inches = 3300 in.

Surface area of the pyramid = A + 1/2 × p × s

Where:

A = Area of the base = s² = 453² =  205209 cubit²

p = Perimeter of base = 2×s = 2×453 = 906 cubit

s = Slant height = 288 cubit

∴ Surface area of the pyramid = 205209 + 1/2 × 906× 288

Surface area of the pyramid = 335,673 cubit²

1 cubit = 20 in

∴ 1 cubit² = 400 in²

335,673 cubit² = 400×335,673 = 134,269,200 in.² ‪= 932,425 ft²

5 0
3 years ago
What is 90 out of 95 written as a fraction?
Rina8888 [55]
90\ out\ of\ 95 = \frac{90}{95}\ which\ simplifies\ to\ \frac{18}{19}
4 0
3 years ago
Read 2 more answers
Marcus looked up the path that he had taken on his run this morning on the map shown below.
AURORKA [14]

Answer: 6 miles.


Step-by-step explanation:

1. To solve this problem you only need to add the distances shown in the map attached, which shown the path Marcus had taken. Then, you have:

Total_{distance}=1in+3inches+2inches+2.3inches\\Total_{distance}=8.3inches

2. Now, you must convert the result obtained from inches to miles. According to the problem 4inches=3miles, therefore, you have:

Total_{distance}=\frac{8,3inches*3miles}{4inches}\\Total_{distance}=6.22miles

3. To the nearest mile:

Total_{distance}=6miles


6 0
4 years ago
Read 2 more answers
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