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satela [25.4K]
3 years ago
7

If a frozen yogurt has 75 calories in 2 oz, how many are in 8 oz of yogurt?

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

The answer would be 300 calories

Step-by-step explanation:

To find the amount of calories in 8 ounces we need to make the ounce amount the same. Let x equal the number of calories.

75/2=x

To get to 8 ounces we need to multiply the bottom by 4. and what we do to the bottom we do to the top.

75*4/2*4=x

multiply

300/8=x

There are 300 calories in 8 ounces.

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Use the dchnition of similarity to solve the following problem.
sveta [45]

Answer:

  1063 ft

Step-by-step explanation:

For shadow problems, we assume the sun's rays are parallel, so the triangles formed are similar. That means the ratio of height to shadow length is the same for each object.

  h/(580 ft) = (5.5 ft)/(3 ft)

  h = (5.5 ft)(580/3) ≈ 1063 ft

The height of the monument is about 1063 feet.

8 0
3 years ago
How many times the size of 0.81 is 810
MAXImum [283]

Answer:

810 is 100 times the size of 0.81

8 0
3 years ago
While mining, Jason found a large metal bar that weighed 24 ounces. Jason was also able to determine that the bar had 6 ounces o
tino4ka555 [31]
25% 6 divided by 24 will give you the percentage of copper in the bar
5 0
3 years ago
the sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger
Reil [10]
<h2>Answer:</h2>

x\geq 3 \ and \ x+1 \geq 4

<h2>Step-by-step explanation:</h2>

The question in this problem is:

<em>The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?</em>

<em />

First of all, let's name the first variable x which is the smaller number. Accordingly, the lager number will be x+1 given that those numbers are consecutive. On the other hand<em> at most </em>conveys the idea of an inequality, which is:

\leq \\ which \ means \ less \ than

So:

1. The sum of 2 consecutive integers can be written as:

v+(v+1)

2. Nine times the smaller and 5 times the larger can be written as:

9v-5(v+1)

Finally, the whole statement:

The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger:

x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\

x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\ \frac{6}{2} \leq \frac{2x}{2} \\ \\ 3 \leq x \\ \\ x\geq 3 \\ \\ and \\ \\ x+1 \geq 4

The two numbers are:

x\geq 3 \ and \ x+1 \geq 4

6 0
4 years ago
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)
Julli [10]

Answer:

  • 290

Step-by-step explanation:

<u>Solving with one operation at each step:</u>

  • {362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) =
  • {362 – [63 + 24 x 2]} + 3(9 +4) =
  • [362 – (63 + 48)] + 3(9 +4) =
  • (362 – 111) + 3(9 +4) =
  • 251 + 3(13) =
  • 251 + 39 =
  • 290
6 0
3 years ago
Read 2 more answers
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