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lions [1.4K]
2 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]2 years ago
8 0

Answer:

The Answer Is 39.8 Hope this helps

Pavlova-9 [17]2 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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Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14
ella [17]

Answer: 56/81

Step-by-step explanation:

in the attachment

3 0
2 years ago
A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction pri
pickupchik [31]
<span>Given situation:
=> A deadler paid $10 000 for a boat at an auction.
=> At the dealership, a sales person sold the boat for 30% more than the auction price
=> 10 000 dollars + 30%
=> Then the salesperson received a commission of 25% of the difference between the auction price and the dealership price
=> 10 000 + 25%
Let’s find the solution
=> 10 000 x .30 = 3000
=> 10 000 + 3 000 = 13 000, he sell it for this price
=> then he received a commission
=> 13 000 – 3 000 = 10 000
=> 10 000 x .25
=> 2500 , his commission </span>



7 0
2 years ago
A sailboat is sitting at rest near its dock. A rope attached to the bow of the boat is drawn in over a pulley that stands on a p
irina [24]

Answer:

The boat is approaching the dock at rate of 2.14 ft/s

Step-by-step explanation:

The situation given in the question can be modeled as a triangle, please refer to the attached diagram.

A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.

The length of rope from bow to pulley is 13 feet that means y = 13 ft.

We know that Pythagorean theorem is given by

x^{2} + y^{2} = z^{2}

Differentiating the above equation with respect to time yields,

2x\frac{dx}{dt}  + 2y\frac{dy}{dt} = 2z\frac{dz}{dt}

x\frac{dx}{dt}  + y\frac{dy}{dt} = z\frac{dz}{dt}

dx/dt = 0  since dock height doesn't change

y\frac{dy}{dt} = z\frac{dz}{dt}

\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}

The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s

First we need to find z

z² = (5)² + (13)²

z² = 194

z = √194

z = 13.93 ft

So,

\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}

\frac{dy}{dt} = \frac{13.93}{13}(2)

\frac{dy}{dt} = 2.14 ft/s

Therefore, the boat is approaching the dock at rate of 2.14 ft/s

8 0
2 years ago
If a = 0.6 repeating and b = 0.75, then a x b = blank and a/b = blank
atroni [7]

Answer:

a*b = 1/2

a/ b = 8/9

Step-by-step explanation:

a = 0.66666  and b = 0.75

To multiply it we write the decimal numbers in fraction form

a= 0.666666...

Multiply by 10 on both sides

10 a = 6.66666...

    a = 0.66666...

Subtract the second equation

9a = 6

divide by 9 on both sides

a=\frac{6}{9}=\frac{2}{3}

so 0.6666 = 2/3

Now we convert 0.75 into fraction form

0.75=\frac{0.75}{1}

Multiply top and bottom by 100 to remove decimal

\frac{75}{100} = \frac{3}{4}

so 0.75 is 3/4

a= 2/3  and b = 3/4

a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}

\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}


8 0
2 years ago
What number should go in the space? Multiplying by 1.98 is the same as increasing by _____%.
sattari [20]
1.98
1.98*100
198

Multiplying by 1.98 is the same as increasing by 198%.
4 0
1 year ago
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