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3 years ago

Lindsay drove for 5 1 /2 hours at 60 miles per hour. How much distance did she travel?

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

let's firstly convert the mixed fraction to improper, and then check.

$\bf \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\begin{array}{ccll}
miles&hours\\
\cline{1-2}
60&1\\[0.8em]
m&\frac{11}{2}
\end{array}\implies \cfrac{60}{m}=\cfrac{~~1~~}{\frac{11}{2}}\implies \cfrac{60}{m}=\cfrac{~~\frac{1}{1}~~}{\frac{11}{2}}\implies \cfrac{60}{m}=\cfrac{1}{1}\cdot \cfrac{2}{11}
\\\\\\
\cfrac{60}{m}=\cfrac{2}{11}\implies 660=2m\implies \cfrac{660}{2}=m\implies 330=m$

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The owner of a convenience store keeps track of how many customer buy lunch food during the "noon rush" each day for four days a

alexdok [17]

Answer:

c) 62.

Step-by-step explanation:

Let x represent number of customers came in on the fifth day.

We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.

We know that mean of a data set is equal to sum of all data points divided by number of data points.

Total number of customers on 5 days would be $208+x$ and total number of days is 5.

Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:

$\frac{208+x}{5}=54$

Multiply both sides by 5:

$\frac{208+x}{5}*5=54*5$

$208+x=270$

$208-208+x=270-208$

$x=62$

Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.

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3 years ago

please can someone explain to me how this is done the answer is 85 but how to figure it out I am giving away 10 points the quest

shtirl [24]

Answer:

Step-by-step explanation:

A = $\frac{hb}{2}$

h = 10 cm , b = 17 cm

A = 10 × 17 ÷ 2 = 85 cm²

3 0

2 years ago

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elena-14-01-66 [18.8K]

Answer:

yes

Step-by-step explanation:

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3 years ago

What is the factorization of the polynomial below?<br><br> x^3-4x^2+45x

Mashutka [201]

The method of factorization is used to find the roots of a given polynomial. Roots are the solutions of the function. Graphically, these roots are where the curve passes the x-axis. The first step to do is to find the common factor of the equation. That would be x. So you place it outside of the parenthesis.

x³-4x²+45x = x(x² - 4x + 45)

If you solve the quadratic equation inside the parenthesis using the quadratic formula, the roots are imaginary. Therefore, the quadratic equation is already a prime polynomial.

The final answer is x(x² - 4x + 45).

3 0

3 years ago

Read 2 more answers

Suppose that 48% of the women who gave birth at a certain hospital last year were over 30 years old, and that 46% were unmarried

tankabanditka [31]

Answer: 0.29 (29%)

Step-by-step explanation:

women who gave birth at a certain hospital last year:

over 30 years old - 0.48

unmarried - 0.46

over 30 or unmarried (or both) - 0.65

what is the probability that a woman who gave birth at the hospital was both unmarried and over 30 ?

We know that

P(A and B) = P(A) + P(B) - P(A or B)

P(+30 and unmarried) = P(+30) + P(unmarried) - P(+30 or unmarried)

P(+30 and unmarried) = 0.48 + 0.46 - 0.65 = 0.29

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3 years ago