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3 years ago

After 7 hours of driving, who is farther from his or her home? By how much?

Mathematics

1 answer:

Whitepunk [10]3 years ago

8 0

Ben is farther from his home. by 350 miles.

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-30=4-8x solve for x

Alisiya [41]

Answer: x=4.25

Step-by-step explanation:

-30=4-8x

subtract 4 from both sides

-8x=-34

divide by -8 on both sides

x=4.25

8 0

3 years ago

Whats -2(x-3)=5(2x+3)

puteri [66]

-2(x - 3) = 5(2x + 3)

-2x + 6 = 10x + 15

6 = 10x + 15 + 2

6 = 12x + 15

6 - 15 = 12x

-9 = 12x

-9/12 = x

-3/4 = x or in decimal form; -0.75

hope this helps, God bless!

8 0

3 years ago

Read 2 more answers

Identify the vertex for the graph of y = 2x2 + 8x − 3. (2, 21) (2, 17) (−2, −11) (−2, −27)

Finger [1]

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{lcccl}
y = & 2x^2& +8x& -3\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left( -\cfrac{8}{2(2)}~~,~~-3-\cfrac{8^2}{4(2)} \right)\implies \left( \cfrac{-8}{4}~~,~~-3-\cfrac{64}{8} \right)
\\\\\\
\left(-2~~,~~-3-8 \right)\implies (-2~~,~~-11)$

5 0

3 years ago

Read 2 more answers

a boat takes 8 hours to go 6 miles upstream and come back to the starting point. if the speed of the boat is 4 miles per hour in

Romashka-Z-Leto [24]

Consider this option:
1. if to re-write the condition, it is given: total time t=8 hours; upstream=downstream=6 miles; V_boat=4 m/h., V_current=V=?
2. note, that total time=time_upstream+time_downstream, where time_upstream=6miles/(V_boat-V) and time_downstream=6miles/(V_boat+V). Using this it is possible to make up and solve the following equation:
$\frac{6}{4+V} + \frac{6}{4-V} =8; \ =\ \textgreater \ \ \frac{V^2-10}{16-V^2}=0; \ =\ \textgreater \ \ V=\sqrt{10} \ \frac{miles}{hour}$

answer: √10

P.S. the roots of the equation are √10 and (-√10), only positive values is needed for V.

7 0

3 years ago

The otherSites Squared10.A cylinder has a diameter of 12 meters and a height of 9 meters. What is thetotal surface area of the c

Gelneren [198K]

The total surface area of a cylinder is given by the formula

$\begin{gathered} A_{cylinder}=2circular\text{ area+curved surface area} \\ =2\pi r^2+2\pi rh \end{gathered}$

Given diameter, d=12meters, we will solve for radius

$\begin{gathered} \text{diameter,d}=2\times radius,r \\ d=2r \\ r=\frac{d}{2} \\ r=\frac{12m}{2} \\ r=6m \end{gathered}$

The height is given as 9meters

Substituting for r and h in the formula will give

$\begin{gathered} A_{cylinder}=2\pi r^2+2\pi rh \\ r=6m;h=9m;\pi=3.14 \\ A_{cylinder}=2\times3.14\times6^2+2\times3.14\times6\times9_{} \end{gathered}$ $\begin{gathered} A_{cylinder}=6.28\times36+6.28\times54 \\ =226.08+339.12 \\ =565.2m^2 \end{gathered}$

Hence the surface area of the cylinder is 565.2m²

8 0

1 year ago