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igomit [66]
2 years ago
8

Bob eats 1/4 ounce of cheese. One serving of cheese is 1 1/2 ounces. How much of a serving did he eat?

Mathematics
1 answer:
katen-ka-za [31]2 years ago
6 0

Answer:

1/6 serving

Step-by-step explanation:

1 SERVING = 3/2 OUNCES

        x        = 1/4 OUNCES

<u>CROSS MULTIPLY.</u>

1 * 1/4 ( serving * ounces) = x * 3/2 (ounces)

<u>REARRANGE, THEN DIVIDE BOTH SIDES BY </u><u>3/2 OUNCES</u><u> TO MAKE </u><u>x </u><u>THE SUBJECT.</u>

x * 3/2 (ounces) = 1 * 1/4 ( serving * ounces)

[x * 3/2 (ounces)] / 3/2 OUNCES = [1 * 1/4 ( serving * ounces)] / 3/2 OUNCES

x = (1/4) / (3/2) SERVING

x = 1/4 * 2/3 (serving)

x = 1/2 * 1/3 (serving)

x = 1/6 serving

Please thank, rate 5 stars and give brainliest. Thank you. i hope you understand!

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Hoochie [10]

35 divided by 2 1/2

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2 1/2 = 5/2

35 divided by 5/2

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35 * 2/5

70/5

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4 0
3 years ago
you got a new credit card with an interest rate of 18% compounded monthly and no minimum payment. you go on a shopping spree and
just olya [345]
The total amount owed after 6 months will be found using the formula:
FV=P(1+r/100*n)^n
P=principle=$10000
r=rate=18%
n=terms=0.5


FV=10000(1+18/2*100)^0.5
FV=$10,440.30651
Thus the amount owed will be $10440.30651
7 0
3 years ago
If f(x)=2x+7 and g(x)=11x-4, find (f+g)x.
klemol [59]

Answer:

(f+g)(x) = 13x + 3

Step-by-step explanation:

Rewrite  f(x)=2x+7 and g(x)=11x-4 in columns, as follows:

f(x)=2x+7

+g(x)=11x-4

----------------

Now add each column separately.

f(x)+g(x) = (f+g)(x) ("the sum of functions f and g")

2x + 11x = 13x, and, finally, 7-4 = 3.


Therefore,

 f(x)=2x+7

+g(x)=11x-4

----------------

(f+g)(x) = 13x + 3

7 0
3 years ago
Please help with question 6, 7, 8, and 9 about rational and irrational numbers
aliina [53]
6. When we multiply two surdic integers, we can leave it into one big surd.
For instance, if we have:

\sqrt{a} \cdot \sqrt{b}, we can simplify it down to one uniform square root sign, \sqrt{ab}.

So, we can say: 3\sqrt{2} \cdot 8\sqrt{18} = 24\sqrt{36}, which is a rational root, because the square root of 36 can be converted into an integer, namely 6 and -6.

Hence, it is a rational root.

7. The summation, on the other hand, cannot be simplified any further, so it will stay as irrational. This is because √2 is already an irrational root, and adding it onto a number that is rational will stay as irrational.

8. Once again, the summation cannot be simplified. We can only simplify by factoring like terms. Hence, this must be irrational.

9. Even if it is in fractional notation, √5 can never be a rational number because no two integers when multiplied by itself will give 5. So, even if it is written in fractional form, they cannot be rational if there is an already irrational term in it.
4 0
3 years ago
You are designing an icon for a mobil app. Use the provided ruler to answer the following questions.
makkiz [27]

Answer:

a. Scale Perimeter : 2.5 centimeters

Actual Perimeter : 13 centimeters

Actual Area : 10.5 square centimeters

b. Actual Perimeter : 130 mm

Actual Area : 1,050 mm

Step-by-step explanation:

a. 2.5 mm = 0.25 cm

2 (1 + 0.25) = 2.5

2 (3.5 + 3) = 13

3.5 x 3 = 10.5

b. 3.5 cm = 35 mm 3 cm = 30 mm

2 (35 + 30) = 130

35 x 30 = 1050

7 0
2 years ago
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