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ella [17]
3 years ago
5

Paolo is using his grandmother's breakfast bar recipe. He always doubles

Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

6\frac{1}{3} = 2\frac{1}{2} * 2 + \frac{x}{2}

Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 \frac{1}{2} cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 \frac{1}{2} * 2 = 5 cups of yogurt.

the total of yogurt and oats is 6\frac{1}{3} and we know how much yogurt we have so we subtract that from the total of both.

6\frac{1}{3} - 5 = 1\frac{1}{3}

the oats after doubling were 1\frac{1}{3} cups so u divide it by 2

1\frac{1}{3} / 2 = \frac{2}{3} before doubling

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Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and edge finish. The results of 1
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Answer:

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(b) P (B)=  89/102= 0.8725

c) P (A`) =  14/102 = 0.1372

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Step-by-step explanation:

                                                                   edge                  

                                                  finish excellent       good           Total

<u>(A )surface finish excellent            84                      4                  88</u>

good                                    ( B) ⇵    5                       9                  14

Total                                               89                      13                102

a) Upper P left-parenthesis Upper A right-parenthesis equals

P (A)= 88/102= 0.8627

All the elements of set A = 84+4= 88

(b) Upper P left-parenthesis Upper B right-parenthesis equals

P (B)=  89/102= 0.8725

All the elements of set B = 84+5= 89

c) Upper P left-parenthesis Upper A prime right-parenthesis equal

P (A`) =  14/102 = 0.1372

All the elements of Universal set U which are not elements of set A = 102- 88= 14

(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals

P (A∩B) = 84/102 =0.8235

Only those elements of set A and set B which are common

(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals

P(AUB)= 93/102 = 0.9117

Totalling elements of set A and B= 88+5= 93

(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals

P (A`UB) = 98/102= 0.96078

All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98

6 0
3 years ago
Estimate the square root to the nearest integer.
nexus9112 [7]
Answer:
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3^2 is equal to 9, and 4^2 is equal to 16, so sqrt(10) must be in between 9 and 16. Since 10 is closer to 9 than to 16, sqrt(10) is closer to 3 than 4, which means that to the nearest integer sqrt(10)=3
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