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lions [1.4K]
3 years ago
8

Cooper is measuring ingredients for his special dessert. He needs a total of 70.4 mL of milk and melted butter. The recipe calls

for 30.6 mL of butter. How much milk, m, does Cooper need for his recipe? 2.3 mL 39.8 mL 40.2 mL 101 mL
Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer:

The Answer Is 39.8 Hope this helps

Pavlova-9 [17]3 years ago
5 0

Answer:

Cooper needs 39.8 mL milk for his recipe

Step-by-step explanation:

Let B be the quantity of butter

and

m be the quantity of milk

<u>So according to given statement the whole mixture measures 70.4 mL while butter measures 30.6mL</u>

so,

B+m = 70.4

30.6 + m = 70.4

m = 70.4 - 30.6

m = 39.8 mL

Cooper needs 39.8 mL milk for his recipe ..

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Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.
lbvjy [14]

Answer:

Area=36.66 cm^2

Step-by-step explanation:

First, you need the height.

Use the Pythagorean theorem:

hypotenuse^2=height^2+(1/2 base)^2  

It's one-half base because it's an equilateral triangle.

1/2 base =4.6

(9.2)^2-4.6^2=height^2

84.64-21.16=height^2

height^2=63.48

height=7.97

Area=(1/2)(base)(height)

Area=(1/2)(9.2)(7.97)=36.66 cm^2

3 0
3 years ago
Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in th
Katarina [22]

Answer:

D

Step-by-step explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

⇒ r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}

⇒ r = 6.5

Now we calculate the area;

⇒ A = \pi r^{2}

⇒ A = \pi (6.5)^{2}

⇒ A = \frac{169}{4}\pi

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

⇒ Percentage = \frac{42.25\pi }{200} * 100

⇒ Percentage = 66 (2sf)

5 0
2 years ago
( 3 x 2 ) ^ 4 x 3 ^ -3 / 2 ^ 3 x 3 =<br><br> Simplify the exponential expression
Korvikt [17]

Answer:

2

Step-by-step explanation:

\frac{(3*2)^4*3^{-3}}{2^3*3}

we start simplifying by removing the parenthesis

Multiply the exponents inside the the parenthesis

3^4  * 2^4

\frac{3^4*2^4*3^{-3}}{2^3*3}

Now we apply exponential property

a^m * a^n = a^ (m+n)

3^4 * 3^-3 = 3^ (4-3) = 3^1

3 or 3^1  are same

\frac{3^1*2^4}{2^3*3^1}

3^1 at the top and bottom so we cancel it out

\frac{2^4}{2^3}

we apply log property . a^m / a^n = a^m-n

Now subtract the exponents

2^(4-3) = 2^1 = 2



4 0
3 years ago
A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizon
Leni [432]

Answer:

36

Step-by-step explanation:

3 0
3 years ago
Which expression is not equivalent to the other expressions?
Paul [167]
-6(2x - 4) =  -6*(2x) -6*(-4) = -12x + 24

-(12x - 6) + 18 = -12x + 6 + 18 =  -12x + 24

-3(4x - 3) + 15  = -3*(4x) -3*(-3) + 15 = -12x + 9 + 24 = -12x + 24

-4(3x + 6) = -4*(3x) -4*(6) = -12x -24

All the expressions gave the same answer as -12x + 24, except for the last expression.

So, -4(3x + 6)  is not equivalent to the others.
4 0
3 years ago
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