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trasher [3.6K]
3 years ago
7

Evelyn wants to pour 2 3/4 cups of water into a pot. She only has 1/2 cup measuring cup. How many times must she fill the 1/2 cu

p measuring cup? Show work.
Mathematics
1 answer:
lesya692 [45]3 years ago
6 0

Answer:

she will need to fill pour the water 3 1/2 times.

Step-by-step explanation:

in easiest terms subtract 1/2 cups of water until you cant take 1/2 cups out. then you see how much more you need to take out then do the math. in this case you need to take out 1/4 cups more out until you have nothing left. if you can visualize this in your head you know that 1/4 is 1/2 of 1/2 so you take out half as much as you did before.

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The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month. How many members wi
vladimir1956 [14]
Population are always modeled by exponential growth equation given by:
f(x)=a(1+b)^t
where:
a=original number
b=rate of growth
t=time
thus
f(x)=412(1.05)^t
the population after 9 months will be:
f(9)=412(1.05)^9=639.15=639 
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3 years ago
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The radius of a basketball is 4.7 inches.what the volume of the basketball? Round to the nearest 10
asambeis [7]
The formula for the volume of a sphere is V= \frac{4}{3}  \pi r^3. Plugging in 4.7 for your radius, we get V= \frac{4}{3} \pi 4.7^2= \frac{4}{3} \pi 22.09= \frac{88.36}{3} \pi, which is roughly 29.453π≈92.530.
4 0
3 years ago
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The ratio of dogs to cats at an animal shelter is 33 to 22. How many dogs are at the shelter if there is a total of 3030 animals
Elena-2011 [213]
D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
and: d + c = 3030
33 c = 22 d  / : 11
3 c = 2 d
From the other equation: c = 3030 - d
3 * ( 3030 - d ) = 2 d
9090 - 3 d = 2 d
5 d = 9090
d = 9090 : 5
d = 1818
Answer: There are 1818 dogs in the shelter.
 
4 0
3 years ago
10. Two lighthouses are located on a north-south line.
Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

\mathbf{AS = 3742}

So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0
2 years ago
State if these 3 numbers can be the measures of the sides of a triangle.
ser-zykov [4K]

Answer: yes it can be a measure of a triangle

I hoped i helped you and can i have brainliest if it's ok? ty

Sides: a = 6   b = 11   c = 13

Area: T = 32.863

Perimeter: p = 30

Semiperimeter: s = 15

3 0
3 years ago
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