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3 years ago

When taking a long road trip, plan rest stops before you leave - at least once every __________

1 answer:

5 0

I think the correct answer would be option B. When taking a long road trip, plan rest stops before you leave - at least once every two hours or 100 miles. In this way, you would be awake for the whole road trip. Also, you can attend to your personal needs like eating and going to the bathroom. Also, with this you would be able enjoy more of your trip, you would be able to see certain scenery closely and clearly rather than going on the road trip continuously until you reached your destination where in the long run you would just be bored and be sleepy.

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Use rounding to estimate the product. Is your estimate an underestimate or an overestimate? 8 × 9.82

kkurt [141]

Answer:

Over

Step-by-step explanation:

7 0

2 years ago

Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars

Liono4ka [1.6K]

Answer:

Option C is the correct answer.

C. 5•(-20)

Step-by-step explanation:

We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

Change in payment = t * (-20)

The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,

Change in payment = 5 * (-20)

Change in payment = - $100

4 0

3 years ago

What is the equation of the line that passes through the points (-1, 7) and (2, 10) in Standard Form?

Usimov [2.4K]

bearing in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-7}{2-(-1)}\implies \cfrac{3}{2+1}\implies \cfrac{3}{3}\implies 1$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1[x-(-1)]\implies y-7=x+1 \\\\\\ y=x+8\implies \boxed{-x+y=8}\implies \stackrel{\textit{standard form}}{x-y=-8}$

just to point something out, is none of the options, however -x + y = 8, is one, though improper.

3 0

3 years ago

Write in exponential form:<br><br> 5 * 5 * (-x) * (-x) * (-x) * (-x)

exis [7]

Answer:c

Step-by-step explanation:

4 0

3 years ago

The weight of an object on mars varies directly is proportional as the weight of the object on earth a 75 pound object on earth

dedylja [7]

Answer:

It weighs 40 pounds on mars

Step-by-step explanation:

Direct proportion is the relationship between two variables when their ratio is equal to a constant value

It can be expressed as y = k x, where y varies directly as x and k is constant of variation
It can be expressed as $\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k$

∵ The weight of an object on mars varies directly as the weight

of the object on earth

∴ w(m) = k × w(e)

∵ The weight of the object on earth is 75 pound

∴ w(e) = 75

∵ The weight of this object on mars is 25 pounds

∴ w(m) = 25

- Substitute them in the equation of variation

∵ 25 = k × 75

- Divide both sides by 75

∴ $\frac{1}{3}$ = k

∴ w(m) = $\frac{1}{3}$ × w(e)

∵ An object weighs 120 pounds on earth

∴ w(e) = 120

- Substitute it in the equation of variation

∴ w(m) = $\frac{1}{3}$ × 120

∴ w(m) = 40

∴ It weighs 40 pounds on mars

5 0

3 years ago