Ask question

Ask question

All categories

3 years ago

7

Martin and three of his friends take turns driving on a trip. The gas mileage for their car ranges from 28.94 to 24.56 miles per

gallon. Each friend drives between 58 and 64 miles, so Martin estimates they will need about 7 gallons of fuel for their trip. Is this a reasonable estimate?
A. No, the estimate should be higher.
B. No, the estimate should be lower.

1 answer:

mart [117]3 years ago

8 0

Answer:

A. No, the estimate should be higher

Step-by-step explanation:

To determine the maximum number of gallons of fuel the car can consume, we express this as;

Maximum miles driven=highest consumption per gallon×Maximum gallons

where;

Maximum miles driven per person=64 mile

Maximum miles driven=64×4=256 miles

highest consumption per gallon=24.56 miles per gallon

Maximum gallons=g

replacing;

256=24.56×g

24.56 g=256

g≥256/24.56=10.42 gallons

g≥10.42 gallons

No, the estimate should be higher

You might be interested in

The weights of steers in a herd are distributed normally. The variance is 40,00040,000 and the mean steer weight is 1400lbs1400

Alex777 [14]

Answer:

$P(1739$

(Correct to 4 decimal places)

Step-by-step explanation:

The probability of a continuous normal variable X found in a particular interval [a, b] is the area under the curve bounded by x=a and x=b and is given by:

$P(a$

where

$f(X)=\frac{1}{\sigma \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-u}{ \sigma} )^2}$

$f(X)=\frac{1}{200 \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-1400}{ 200} )^2}\\=\frac{1}{200 \sqrt{2 \pi} }e^{- \frac{(x-1400)^2}{ 80000}\\$

$P(1739$

$P(1739$

Using a calculator,

$P(1739$

5 0

3 years ago

Read 2 more answers

A rectangle has a length of (x + 4) feet and a width of (x + 7) feet. The expression

melamori03 [73]

Answer:

A

Step-by-step explanation:

No need. It’s simple.

B can’t be it because it uses multiplication.

C can’t be it because it makes no sense.

D also makes no sense.

4 0

2 years ago

Is 35 in , 45 in , 55 in, a right triangle or not

KonstantinChe [14]

If its less than 90, its a right triangle. Hope this helps!

5 0

3 years ago

Write an expression that shows 9 less than the product of 11 and 3.5

Alex73 [517]

try this for answer (11×3.5)-9=x

8 0

2 years ago

2 u + 12 < 23<br> 0,1 d + 8 > 0<br> 3 - 4 r > 7<br> 13 < 2 z + 3<br> 6 ≥ 9 - 0, 15 i

BartSMP [9]

Answer:

Part 1) $u< 5.5$

Part 2) $d > -80$

Part 3) $r < -1$

Part 4) $z>5$

Part 5) $i\geq 20$

Step-by-step explanation:

<u><em>The question is</em></u>

Solve each inequality for the indicated variable

Part 1) we have

$2u+12$

subtract 12 both sides

$2u< 23-12\\2u$

Divide by 2 both sides

$u< 5.5$

The solution is the interval (-∞,5.5)

In a number line the solution is the shaded area at left of u=5.5 (open circle)

The number 5.5 is not included in the solution

Part 2) we have

$0.1d+8 >0$

subtract 8 both sides

$0.1d > -8$

Divide by 0.1 both sides

$d > -80$

The solution is the interval (-80,∞)

In a number line the solution is the shaded area at right of d=-80 (open circle)

The number -80 is not included in the solution

Part 3) we have

$3-4r> 7$

Subtract 3 both sides

$-4r>7-3\\-4r>4$

Divide by -4 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$r < -1$

The solution is the interval (-∞,-1)

In a number line the solution is the shaded area at left of r=-1.1 (open circle)

The number -1.1 is not included in the solution

Part 4) we have

$13< 2z+3$

Subtract 3 both sides

$13-3$

Divide by 2 both sides

$5$

Rewrite

$z>5$

The solution is the interval (5,∞)

In a number line the solution is the shaded area at right of z=5 (open circle)

The number 5 is not included in the solution

Part 5) we have

$6\geq 9-0.15i$

Subtract 9 both sides

$6-9\geq -0.15i\\-3\geq -0.15i$

Divide by -0.15 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$20\leq i$

Rewrite

$i\geq 20$

The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

The number 20 is included in the solution

6 0

3 years ago