Answer:
Step-by-step explanation:
The first thing we need to focus on is the fact the large bag (30 cups) is 2.5 larger than the small bag. So, the first we need to do is divided 30 by 2.5, which is 12. (300/25 = 30/2.5 = 12, in case you're confused.) So the small bag has 12 cups of sugar.
What that down, we need to focus how many cakes the small bag can make, which was 9. 3/4 of a cup is left over. We can create an equation from that info, that being 9x + 0.75 = 12. Now let's solve for x.
9x + 0.75 = 12
<em>First, subtract 0.75 from both sides. With that, we can solve for x directly.</em>
9x = 12 - 0.75
9x = 11.25
<em>Now, divide both sides by 9.</em>
x = 11.25/9
x = 1.25
With that, we now know that each cake needs 1.25 cups of sugar.
With that, the last thing we need to is divide 30 by 1.25. Again, I can use powers of ten, to quickly divide 3000 by 125 (10²) to get 24 cakes.
With that done, we have our answer. 24 cakes can be made with a large bag of sugar.
<em>I hope this helps! (⌒ω⌒)</em>
(x + 1) / 5 = (x + 5) / 7
cross multiply
(x +1) x 7 = 5 x (x + 5)
7x + 7 = 5x + 25
take the like terms to one side
7x - 5x = 25 - 7
2x = 18
divide by 2 to isolate x
2x / 2 = 18 / 2
x = 9
check:
9 + 1 / 5 = 9 + 5 / 7
10 / 5 = 14 / 7
2 = 2
Answer: 8.1
Step-by-step explanation: How you convert a mixed number into a decimal is taking the whole number (not the fraction part) and putting it in front of the decimal, then you get the fraction's denominator to 10 multiply if needed, then you take the fractions top number and put it after the decimal, Now your converted!
If you need any further help or instruction let me know!
Complementary angles are those angles whose sum is 90 degree.
The measurement of two complementary angles are
There sum have to be 90 degree. That is
Combining like terms ,
Moving 20 to right side
Dividing both sides by 5
So the measurement of the angles are
The missing expression should be for Step 3 is [(25 + 3)/0.5] - 16.4 ÷ 4 and the missing expression should be for Step 6 is 56 - 4.1
<h3>Part A: Explain what the missing expression should be for Step 3</h3>
To do this, we make use of the expression in step 2
The expression in step 2 is
[(5^2 + 3)/0.5] - 16.4 ÷ 4
The next step at this stage is to evaluate the expression 5^2
So, we have:
[(25 + 3)/0.5] - 16.4 ÷ 4
Hence, the missing expression should be for Step 3 is [(25 + 3)/0.5] - 16.4 ÷ 4
<h3>Part B: Explain what the missing expression should be for Step 6.</h3>
To do this, we make use of the expression in step 5
The expression in step 5 is
56 - 16.4 ÷ 4
The next step at this stage is to evaluate the expression 16.4 ÷ 4
So, we have:
56 - 4.1
Hence, the missing expression should be for Step 6 is 56 - 4.1
Read more about expressions at:
brainly.com/question/723406
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