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3 years ago

Richard and Linda enjoy visiting Hilton Head Island, South

Mathematics

2 answers:

levacccp [35]3 years ago

8 0

Answer:

first day: 650, second day: 325

Step-by-step explanation:

Let x be the number of miles travelled on the second day and 2x the number of miles travelled on the first day. They add up to 975.

2x+x=975

3x=975

x=325

x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.

marshall27 [118]3 years ago

3 0

Answer:

650 miles the first day, 325 miles the second day

Step-by-step explanation:

We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:

$2x + x = 975$

$3x = 975$ (Simplify LHS; 2x + x = 3x)

$\frac{3x}{3}=\frac{975}{3}$ (Divide both sides of the equation by 3 to get rid of the coefficient on x)

$x = 325$ (Simplify)

Therefore, $2x = 2 * x = 2 * 325 = 650$ so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!

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Arturiano [62]

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2 years ago

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Tems11 [23]

Given, the equation that represents the height of an object:

$y(t)=100t-16t^2$

First, we will find the velocity of the object which is the first derivative of the height using the method of the limits

$\frac{dy}{dt}=\lim_{h\to a}\frac{y(3+h)-y(3)}{(3+h)-(3)}$

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$\begin{gathered} y(3+h)=100(3+h)-16(3+h)^2 \\ y(3+h)=300+300h-16(9+6h+h^2) \\ y(3+h)=300+300h-144-96h-16h^2 \\ y(3+h)=156+4h-16h^2 \\ y(3)=100(3)-16(3)^2=156 \end{gathered}$

Substitute y(3+h) and y(3) into the expression of the limit

$\begin{gathered} \frac{dy}{dt}|_{t=3}=\lim_{h\to a}\frac{156+4h-16h^2-156}{3+h-3}=\lim_{h\to a}\frac{4h-16h^2}{h} \\ \\ \frac{dy}{dt}|_{t=3}=\lim_{h\to a}(4-16h) \end{gathered}$

Where a = 0

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So, the answer will be:

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1 year ago

Solve for x<br> 90°<br> \12x-22)<br> 170°

Y_Kistochka [10]

Answer:

x = 6

Step-by-step explanation:

Using this theorem to get the other angles of the triangle.

Angle at the vertex is equal to half of the angle at the intercepted arc

For the arc with angle 170degrees

Angle at the vertex = 1/2 * 170

Angle at the vertex = 85 degrees

For the arc with angle 90degrees

Angle at the vertex = 1/2 * 90

Angle at the vertex = 45 degrees

Taking the sum of the 3 angles and equating to 180

85 + 45 + 12x - 22 = 180

130-22+12x = 180

12x = 180 - 108

12x = 72

x = 72/12

x = 6

Hence the value of x is 6

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3 years ago

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3 years ago

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Alik [6]

According to you, you are smarter than me so... cant help.

ty for the points general!

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