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2 years ago

How many leap years occur between the years 1700 and 1875?

Mathematics

1 answer:

Zina [86]2 years ago

6 0

Step-by-step explanation:

A leap year occurs every 4th year.

So, 1875 - 1700 = 175

Now let us divide 175 by 4

$175 \div 4 = 43.75 \\ here \: 43 \: represents \: the \: number \: of \: \\ leap \: years.$

So, 43 leap years occur between the years 1700 and 1875.

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Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles

astra-53 [7]

Answer:

It will take Lin an hour and 25 minutes at her constant speed, and it will take Jada at her constant speed an hour and 30 minutes.

SO, Lin will arrive at 4:25

and Jada will arrive at 4:30

There is a 5 minute difference in time.

Step-by-step explanation:

From the facts given, Lin can walk 13 miles in 5 hours which when you divide means she can walk 2.6 mph (miles per hour), and Jada can walk 2.5 mph.

To get these answers you divide the current speeds into the total distance

For example, in Lin's case...

3.25 (The 3 and 1/4 mile converted to decimal form)

2.6 (Lin's Average speed per hour)

3.25/2.6=1.25

1.25 (1 hour and 25 minutes)

5 0

2 years ago

troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga

GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

$y-y1=m*(x-x1)$

where

m is the slope---------> $\frac{gallon}{miles}$

in this problem the slope is equal to $-\frac{1}{21} \frac{gallons}{miles}$

it's negative because the tank is going to be consumed

assuming he starts with a full tank

$for\ x=0\ y=30\ gal$

substitute in the formula above

$y-y1=m*(x-x1)\\\\ y-30=-\frac{1}{21}*(x-0)\\\\ y=-\frac{x}{21}+30$

therefore

the answer is

the equation $y=-\frac{x}{21}+30$

8 0

2 years ago

Read 2 more answers

Red, green, and white jellybeans are combined in a ratio of 5:4:3, respectively. What is the ratio of green jelly beans to the t

Rainbow [258]

We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.

In order to find out the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

$\text{Total number of jelly beans}=5+4+3=12$

Now we can find out out our desirable ratio by substituting our finding in the ratio.

$\text{Number of green jelly beans}:\text{Total number of jelly beans}=4:12\\=1:3$

Therefore, ratio of green jelly beans with respect to all jelly beans is 1:3.

6 0

2 years ago

Identify the variation as direct, inverse, joint or combined. A = r²

myrzilka [38]

Answer : Direct Variation

Question :

Identify the variation as direct, inverse, joint or combined. A = $\pi r^2$

We know direct variation is y = kx

Where k is the constant of proportionality

When value of x increases then y also increases. when x value decreases then y value decreases.

The value of y depends on value of x It means y is directly proportional to x.

Hence A = $\pi r^2$ is a direct variation.

4 0

2 years ago

Read 2 more answers

A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.

QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches

Now:

P(X ≤ 5) = $\dfrac{5}{20}$

= 0.25

P(X ≥ 15) = $\dfrac{5}{20}$

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

= 0.50

∴ The probability that a defective rod can be salvaged = 0.50

4 0

2 years ago