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Sergio039 [100]
3 years ago
15

2 bottles of grape juice fill 8 glasses. How many glasses can be filled from

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

32 glasses

Step-by-step explanation:

To solve this we will first find out how many glasses one bottle of grape juice can fill.

Equation:

8/2 = 4

This means one bottle of grape juice can fill four glasses. Now all we have to do is multiply 4 glasses of grape juice by the number of bottles.

Equation:

8 * 4 = 32

32 glasses

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For what values of x is the following inequality true? 5/7 + x/7 >(underlined) 10. PLZ HELP!!! 12 points
Rufina [12.5K]
Hello! Thank you for your question! I will be most happy to help!

So here what we are going to do is solve for X.

Step 1: Simplify x/7

Equation at the end of step 1: 5/7 + x/7 - 10 > 0

Step 2: Simplify 5/7

Equation at the end of step 2:

5/7 + x/7 - 10 > 0

Step 3: Adding fractions which have a common denominator: 

3.1 Adding fractions which have a common denominator
<span>Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + x / 7 = x + 5 / 7

Equation at the end of step 3:

(x + 5) / 7 - 10 > 0

Step 4: Rewriting the whole as an Equivalent Fraction:

</span>4.1 Subtracting a whole from a fraction 
<span>
Rewrite the whole as a fraction using 7 as the denominator:
</span>
10 = 10 / 1 = 10 * 7 / 7

Equivalent fraction: <span>The fraction thus generated looks different but has the same value as the whole 

</span>Common denominator: <span>The equivalent fraction and the other fraction involved in the calculation share the same denominator
</span>
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions 

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x+5) - (10 * 7) / 7 = x - 65 / 7

Equation at the end of step 4:

x - 65 / 7 > 0

Step 5: 5.1 Multiply both sides by 7

Solve Basic Inequality:<span><span> 

5.2 </span>Add <span> 65 </span> to both sides
<span><span>
x > 65

Final answer: x > 65</span></span></span>
3 0
3 years ago
What are the last 3 shapes in 3D
katovenus [111]

Answer:

square base pyramid

triangle base pyramid

Step-by-step explanation:

second one is square bas pyramid

third one is triangle base pyramid

8 0
4 years ago
Read 2 more answers
A lawn darts team has choice of hitting a short field bonus throw or long zone bonus.
taurus [48]

Answer: i believe it is short field

7 0
4 years ago
Read 2 more answers
Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x
mrs_skeptik [129]

Answer:

sin 5x cos x - cos 5x sin x = sin(4x)

Step-by-step explanation:

Given that the trigonometric expression,

sin 5x cos x - cos 5x sin x

Here we use the "sum and difference formulas"

Sum and Difference Formulas

sin(A+B)=sin A cos B + cos A sin B

sin(A-B)=sin A cos B - cos A sin B

cos(A+B)=cos A cos B - sin A sin B

cos(A-B)=cos A cos B + sin A sin B

So,

sin 5x cos x - cos 5x sin x = sin (5x - x)

sin 5x cos x - cos 5x sin x =  sin(4x)

That's the final answer.

6 0
4 years ago
I’m hoping I did this one right
drek231 [11]
The answer actually is 4,245 BUT that is the correct way to do it because you take the smaller population away from the larger population in order to find their difference in sizes.
8 0
3 years ago
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