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choli [55]
3 years ago
7

Simplify the expression below. (3-13)²+14/4²-5·2

Mathematics
1 answer:
Natalija [7]3 years ago
3 0
Calculate the difference, Reduce the fraction with 2, Multiply the numbers

(-10)^2+(7/2)^2-10


To raise a fraction to a power, raise the numerator and denominator to that power

100+49/4 -10

Calculate the sum

409/4

Or

102 1/4

Or

102.25

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If you multiply 738 by 45 what will be the partial products
Nata [24]
I just want you to know that you do not need some crazy website to help you answer it, you got this if you do not get it right just ask your teacher when you go over it. and when she explains it pay attention I believe in you
6 0
3 years ago
Read 2 more answers
Flaming BBQ Restaurant makes a dipping sauce with 9\text{ mL}9 mL9, space, m, L of hot sauce for every 666 ounces of barbecue sa
ahrayia [7]

Answer:

3 mL of hot sauce mixed with 2 ounces of barbecue sauce

45 mL of hot sauce mixed with 30 ounces of barbecue sauce

12 mL of hot sauce mixed with 8 ounces of barbecue sauce

Step-by-step explanation:

we know that

A restaurant makes a dipping sauce with

\frac{9}{6}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

Simplify

1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

<u><em>Verify each case</em></u>

case A) we have

6 mL of hot sauce mixed with 10 ounces of barbecue sauce

so

\frac{6}{10}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

simplify

0.6\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

Compare

0.6 \neq 1.5

therefore

This mixture is not the same that as Flaming BBQ's dipping sauce

case B) we have

3 mL of hot sauce mixed with 2 ounces of barbecue sauce

so

\frac{3}{2}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

simplify

1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

Compare

1.5 =1.5

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

case C) we have

45 mL of hot sauce mixed with 30 ounces of barbecue sauce

so

\frac{45}{30}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

simplify

1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

Compare

1.5=1.5

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

case D) we have

24 mL of hot sauce mixed with 18 ounces of barbecue sauce

so

\frac{24}{18}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

simplify

1.33\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

Compare

1.33 \neq 1.5

therefore

This mixture is not the same that as Flaming BBQ's dipping sauce

case E) we have

12 mL of hot sauce mixed with 8 ounces of barbecue sauce

so

\frac{12}{8}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

simplify

1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}

Compare

1.5=1.5

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

6 0
4 years ago
Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many quarts did they make? If they charge $2.00 per quar
zhannawk [14.2K]
Answer:

$32.00

Step by Step Explanation:

There are 4 quarts in a gallon

4 quarts times 4 gallons=16

16 quarts times $2.00=$32.00
8 0
3 years ago
Read 2 more answers
PLEASE HELP!! FAST 20 POINTS
Mademuasel [1]
Total money= £14,713.11
6 0
3 years ago
On a camping trip you bring 12 items for 4 dinners. For each dinner you use 3 items. In how many ways can you choose items for t
Rashid [163]

Answer:

  • 220 options, 84 options, 20 options, 1 option

Step-by-step explanation:

<h3>The first dinner</h3>

Combinations of 3 out of 12 items

  • 12C3 = 12!/(12-3)!3! = 12!/9!3! = 12*11*10/2*3 = 220
<h3>The second dinner</h3>

Combinations 3 out of remaining 9 items

  • 9C3 = 9!/(9 - 3)!3! = 9!/6!3! = 9*8*7/2*3 = 84
<h3>The third dinner</h3>

Combinations of 3 out of remaining 6 items

  • 6C3 = 6!/(6 - 3)!3! = 6!/3!3! = 6*5*4/2*3 = 20
<h3>The fourth dinner</h3>

Combinations of 3 out of 3 remaining items

  • 3C3 = 3!/(3 - 3)!3! = 3!/0!3! = 1
6 0
3 years ago
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