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laila [671]
4 years ago
13

49 POINTS! PLEASE HELP ME! Explain your answer, thank you so much!

Mathematics
2 answers:
Alika [10]4 years ago
7 0

Answer:

y = 4x-3

Step-by-step explanation:

The equation for a line is

y= mx+b

where m is the slope and b is the y intercept

y = 4x-3

stealth61 [152]4 years ago
6 0

The slope = 4

y-intercept = -3

The equation of a line in slope intercept form is written as y=mx+b

where m is the slope and b is the y-intercept.

replace m and b with the given information:

The equation is: y = 4x-3


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John drove 45 miles. This represents 60% of his entire trip what is the total number of miles in Johns trip?
Nonamiya [84]

Answer: John drove 75 miles.


.06 times x equals 45.

x equals 45 divided by .06.

75 = x


6 0
3 years ago
A large high school has 3,000 students.
Leno4ka [110]

Answer:

120 students don't have social media accounts

Step-by-step explanation:

Whether the sample is representative:

Estimate: \frac{3}{75} (3000)=\frac{9000}{75} =120

Hope this helps

7 0
2 years ago
A motorboat that travels with a speed of 20 km/hour in still water has traveled 20 km against the current and 180 km with the cu
Gala2k [10]
Recall your d = rt.  distance = rate * time.

let's say the speed of the current is "c".

keeping in mind that, when the boat is going against the current, the boat is not really going at 2kmh, but instead at " 20 - c ", because the current is subtracting speed from it.

Likewise when is going with the current, is going at a speed of " 20 + c ".

if the boat took say "t" hours on the way over, on the way back it took the slack from the whole 8 hours and "t", namely it took " 8 - t " hours.

\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{against the current}&20&20-c&t\\
\textit{with the current}&180&20+c&8-t
\end{array}
\\\\\\
\begin{cases}
20=(20-c)(t)\implies \frac{20}{20-c}=t\\
180=(20+c)(8-\stackrel{\downarrow }{t})\\
--------------\\
180=(20+c)\left( 8- \stackrel{\downarrow }{\frac{20}{20-c}}\right)
\end{cases}
\\\\\\
180=(20+c)\left( \cfrac{(160-8c)-20}{20-c} \right)

\bf 180=(20+c)\left( \cfrac{140-8c}{20-c} \right)\implies 180(20-c)=(20+c)(140-8c)
\\\\\\
3600c-180c=2800-160c+140c-8c^2
\\\\\\
3600c-180c=2800-20c-8c^2
\\\\\\
3600c-180c-2800+20c+8c^2=0\implies 8c^2-160c+800=0
\\\\\\
c^2-20c+100=0\implies (c-10)(c-10)=0\implies \boxed{c=10}
8 0
3 years ago
Simplify 7 + (−3). (1 point) −10 −4 4 10
Ierofanga [76]

Answer:

1) 7+(-3)=

7-3=4

Step-by-step explanation:

8 0
3 years ago
The lengths of the diagonals of a rhombus are 4x and 8x. What algebraic expression gives the perimeter of the rhombus?
Marizza181 [45]

Answer:

Approximately 17.88x or 8x\sqrt{5}

Step-by-step explanation:

Use pythagorean formula. In a rhombus the diagonals bisect each other and they are perpendicular, so you could have a right triangle with legs of 2x and 4x, the hypoteneuse would then be \sqrt{(2x)^{2} +(4x)^{2} }= \sqrt{4x^{2} +16x^{2}} which is approximately 4.47x. In a rhombus all 4 sides are the same, so multiply that by 4 and you get the perimeter. 4(4.47x) = 17.88x  or if you simplify the radical instead it's 8x\sqrt{5}

4 0
3 years ago
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