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3 years ago

The product of 5 and cube of x increased by the difference of 6 and x3?

1 answer:

6 0

$The\ ptoduct\ of\ 5\ and\ cube\ of\ x:5\times x^3=5x^3\\\\The\ difference\ of\ 6\ and\ x^3:6-x^3\\\\Answer:\boxed{5x^3+(6-x^3)=4x^3+6}$

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Calculate the volume of this regular solid.

IgorC [24]

Answer:

V= 42.41

Step-by-step explanation:

$V = \pi r^{2}\frac{h}{3}$

where r is the radius = 3 and h is the height = 4.5

$V= \pi$ × $3^{2}$ × $\frac{4.5}{3}$

V = 42.41

5 0

3 years ago

Naomi has earned $54 mowing lawns the past 2 days. She worded 21/2 hours yesterday and 41/4 hourse today. If Naomi is paid the s

Klio2033 [76]

She worked 2 and 1/2 hours yesterday, and today she did 4 and 1/4 hours.

first off, let's check how many hours she worked total, and divide 54 by it.

so, first off, let's convert the mixed fractions to "improper" and add them up.

$\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}
\\\\\\
\stackrel{mixed}{4\frac{1}{4}}\implies \cfrac{4\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{17}{4}}\\\\
-------------------------------$

$\bf \cfrac{5}{2}+\cfrac{17}{4}\impliedby \textit{our LCD will be 4}\implies \cfrac{(2\cdot 5)+(1\cdot 17)}{4}
\\\\\\
\cfrac{10+17}{4}\implies \cfrac{27}{4}\implies \stackrel{total~hours}{6\frac{3}{4}}
\\\\\\
\cfrac{\stackrel{wages}{54}}{\stackrel{hours}{6\frac{3}{4}}}\implies \cfrac{54}{\frac{27}{4}}\implies \cfrac{\frac{54}{1}}{\frac{27}{4}}\implies \cfrac{54}{1}\cdot \cfrac{4}{27}\implies \cfrac{216}{27}\implies 8~\frac{\$}{hr}$

6 0

3 years ago

Marco wants to take a taxi cab ride if the cost to ride is 7.00 with the cost per m is 0.25 per mile and mr. o can only spend 30

77julia77 [94]

Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

$\text{ cost(x)}=0.25\cdot x+7$

Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.

$\begin{gathered} \text{ cost(x)}\leq30 \\ 0.25\cdot x+7\leq30 \end{gathered}$

We can solve the linear equation by isolating the "x" variable on the left side.

$\begin{gathered} 0.25\cdot x\leq30-7 \\ 0.25\cdot x\leq23 \\ x\leq\frac{23}{0.25} \\ x\leq92 \end{gathered}$

Marco's travel must be shorter or equal to 92 miles.

6 0

1 year ago

''A florist measures the lengths of roses. The lengths in inches of a dozen roses are given below'' I'm really confused.

alexira [117]

Complete data:

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box

Answer:

12.75 ___ 2 dots

13.0 ____ 3 dots

13.25 ___ 4 dots

13.5 ___ 3 dots

Step-by-step explanation:

Given the data :

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75

To know the Number of dots for each data value, we obtain the frequency of each data value ;

Length of Rose____ Frequency

12.75 _________:__ 2

13.0 ____________ 3

13.25 ___________ 4

13.5 ____________ 3

3 0

3 years ago

find the equation of a line that passes through (2 -1) and ia parallel to y=2x+y-4=0 leave your answer in the form of y=mx+c

Oksanka [162]

Answer:

Y=2x-5

Step-by-step explanation:

Parallel m=2

Y=mx+c

-1=2(2)+c

C=-5

7 0

3 years ago