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3 years ago

3x's what equals 500

Mathematics

1 answer:

Korolek [52]3 years ago

8 0

166.7x3= 500.1 this is the answer

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Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $

nlexa [21]

Answer:

$4.84

Step-by-step explanation:

Given that

For delivery within $1\frac{1}2$ mi, charges = $1.25

For delivery within $1\frac{1}2$ mi - $1\frac{3}4$ mi, charges = $1.70

For delivery within $1\frac{3}4$ mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2 $\frac{1}4$ mi, charges = $2.60

For delivery within 2 $\frac{1}4$ mi - 2 $\frac{1}2$ mi, charges = $3.05

For delivery within 2 $\frac{1}2$ mi - 2 $\frac{3}4$ mi, charges = $3.50

For delivery within 2 $\frac{3}4$ mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3 $\frac{1}4$ mi, charges = $4.40

So, every 0.25 mi or $\frac{1}4$ mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of $3\frac{1}8$ miles lies within the range 3 mi - 3 $\frac{1}4$ mi.

So actual charges after increase of 10%

$\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}$

6 0

3 years ago

The standard deviation of test scores on a certain achievement test is 11.3. If a randomsample of 81 students had a sample mean

Svetradugi [14.3K]

Answer: (72.535, 76.665)

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where $\sigma$ = population standard deviation.

n= Sample size

$\overline{x}$ = sample mean.

$z^*$ = Critical z-value (two-tailed)

Given : $\sigma=11.3$

n= 81

$\overline{x}=74.6$

The critical values for 90% confidence interval : $z^*=\pm1.645$

Now, the confidence interval for population mean would be :

$74.6\pm (1.645)\dfrac{11.3}{\sqrt{81}}\\\\=74.6\pm(1.645)(\dfrac{11.3}{9})\approx74.6\pm2.065\\\\=(74.6-2.065,\ 74.6+2.065)\\\\=(72.535,\ 76.665)$

Hence, a 90 percent confidence interval estimatefor the average score of all students. : (72.535, 76.665)

8 0

3 years ago

Which expression is equal to 2(x - 3) + 4

Serhud [2]

2(x-3)=2x-6 then add 4 = 2x-2

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3 years ago

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What os the answer to 243.83÷32

nikklg [1K]

the answer is 7.6196875.

3 0

4 years ago

Answer this math problem please, brainliest gets 30 pts

-BARSIC- [3]

(3,2)(0,0)
slope = (2-0)/(3-0) = 2/3
b = 0
so
equation
y = 2/3x

answer is C.
y = 2/3x

4 0

3 years ago

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