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ycow [4]
3 years ago
8

Parents ordered pizzas to serve at the Carnival. Each pizza was cut into 8 slices. How many pizzas had to be ordered so that 1,3

19 people could each have one slice?
I know 1,319/8 = 164 R7, but the remainder confuses me. Would the answer be just 164 or do I round up to 165?

TY!
Mathematics
2 answers:
tino4ka555 [31]3 years ago
5 0
165 I am sorry if I am wrong
yarga [219]3 years ago
4 0

Answer:

165

Step-by-step explanation:

Because you can't order 7/8 of a pizza you would have to order 165 pizzas so that every body gets one slice. Hope this helped!

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Question in attachment
ELEN [110]

Answer:

  • $20,000 at 8.5%
  • $10,000 at 10%

Step-by-step explanation:

There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).

The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%

The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...

  0.5%/1.5% = 1/3

This is the fraction of the total investment that was invested at the higher interest rate:

  (1/3)×$30,000 = $10,000 . . . . was invested at 10%

Then the remaining amount, $20,000, was invested at 8.5%.

___

If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...

  10%(x) +8.5%(30,000 -x) = 2700

  x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)

  x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x

We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:

  x=30000\left(\dfrac{\dfrac{2700}{30000}-8.5\%}{10\%-8.5\%}\right)\\\\x=10,000

This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.

8 0
3 years ago
In the following table of values, the first differences are
ExtremeBDS [4]

Answer:

-7

Step-by-step explanation:

Given

\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

d = y_{n+1} - y_n

So, we have:

d = y_2 - y_1 = 27 - 34 = -7

d = y_3 - y_2 = 20 - 27 = -7

d = y_4 - y_3 = 13 - 20 = -7

d = y_5 - y_4 = 6-13 = -7

<em>Hence, the first differences are -7 (all through)</em>

5 0
3 years ago
7 with the exponent of 3 times 9 with the exponent of 4 minus 2
gayaneshka [121]

Answer:

Step-by-step explanation:

7 with exp 3 times 9 with exp 4 minus 2=

343 times 6561 minus 2=

2250421

4 0
3 years ago
How did the movement of sunspots on the surface of the sun affect peoples' beliefs about astronomy at the time?​
lbvjy [14]

Answer:

is this science?

Step-by-step explanation:

4 0
2 years ago
Make t the subject of the formula p = 4t+1/2-t​
alex41 [277]

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t​

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

8 0
2 years ago
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