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3 years ago

9. Khalid drove 66 miles on 3 gallons of gasoline. Which is the number of miles he could drive on 12 gallons of gasoline?

Mathematics

1 answer:

IrinaK [193]3 years ago

8 0

Answer:

264 miles

Step-by-step explanation:

Find the unit rate (mpg):

66 miles

----------------- = 22 mpg

3 gallons

On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles

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Find the domain of the function.<br> f(x)= x+2/1-X

Ymorist [56]

Answer:

all real numbers expect 1.

Step-by-step explanation: This is a rational function. when we usually the find the domain of a rational function we would look at the bottom because you don't want the denomonatior to be zero because dividing by zero in math makes the range undefined. so we use the equation and set it up to zero to find the domain. 1-x=0 -x=-1, divide by -1 and we get 1. So x can be any numbers expect 1. Interval notation: (-∞,1)∪(1,+∞)

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3 years ago

28/1/4 equals what beats per minute

BigorU [14]

Answer:

112

Step-by-step explanation:

marios heart rate and intensity level is 112

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3 years ago

A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a

Jet001 [13]

Answer:

The answer is below

Step-by-step explanation:

From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75

The confidence level (C) = 90% = 0.9

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.

The margin of error (E) is given as:

$E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.645*\frac{518.75}{\sqrt{14} } =228.07$

The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)

The confidence interval is between 1162.68 and 1618.82.

7 0

3 years ago

BLUEPRINTS Abby’s family is building a new house. On the blueprints of the house, Abby’s bedroom measures

mariarad [96]

Answer:

A scale drawing or floor plan is a representation of an actual object or space drawn in two-dimensions. For a floor plan, you can imagine that you are directly above the building looking down. The lines represent the walls of the building, and the space in between the lines represents the floor.

In order to find the actual dimensions from a floor plan, you can set up and solve a proportion. The scale given in the drawing is the first ratio. The unknown length and the scale length is the second ratio.

Let’s look at an example.

The floor plan below shows several classrooms at Craig’s school. The length of Classroom 2 in the floor plan is 2 inches. What is the actual length, in feet, of Classroom 2?

First, set up a proportion. The scale in the drawing says that

12′′=3′

, therefore the proportion is:

0.5 inches3 feet

Next, write the second ratio. You know the scale length is 2 inches. The unknown length is

. Make sure that the second ratio follows the form of the first ratio: inches over feet.

0.5 inches3 feet=2 inchesx feetThen, cross-multiply.

0.530.5x0.5x===2x2×36Then, divide both sides by 0.5 to solve for

0.5x0.5x0.5x===660.512The answer is 12.

The actual length of the classroom is 12 feet.

8 0

3 years ago

On rainy days, Izzy goes from his house to the school by running 1.2 miles on West St, then makes a 90º turn and runs 0.5 miles

OlgaM077 [116]

Answer:

a) It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.

b) Izzy runs 1.30 miles on dry days.

c) Izzy saves 3 minutes and 12 seconds cutting through the woods.

Step-by-step explanation:

This problem can be solved by a simpe rule of three problem.

a) On rainy days, she runs 1.2 + 0.5 = 1.7 miles.

The problem states that for rainy days, she runs 7.5 miles per hour. We know that in a hour, Izzy will run 7.5 miles. We want to know how long it takes for her to run 1.7 miles. So

1 hour - 7.5 miles

x hours - 1.7 miles

7.5x = 1.7

$x = \frac{1.7}{7.5}$