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2 years ago

7

a red lamp flashes every 10 seconds ,a yellow lamp flashes every 24 seconds and a blue lamp flashes every 30 seconds.How many ti

mes will the three lamps flash at the same time in 10 minutes.

1 answer:

jeka57 [31]2 years ago

7 0

Answer:

600x

Step-by-step explanation:

10 x 24x 30 - 10x 60x

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Jamaica is considering buying either a car which goes 25 miles on 1 gallon of gas, or a truck that goes 10 miles on a gallon of

Ipatiy [6.2K]

Answer: if he drives the car each month, he would spend $150 lesser than when he drives the truck.

Step-by-step explanation:

The car goes 25 miles on 1 gallon of gas. Jamaica drives 1000 miles per month, it means that the number of gallons of gas that he would use in a month is

1000/25 = 40 gallons of gas

If gasoline costs $2.50 per gallon and Jamaica chooses to buy a car, the cost of gas per month would be

2.5 × 40 = $100

The truck goes 10 miles on 1 gallon of gas. Jamaica drives 1000 miles per month, it means that the number of gallons of gas that he would use in a month is

1000/10 = 100 gallons of gas

If gasoline costs $2.50 per gallon and Jamaica chooses to buy a truck, the cost of gas per month would be

2.5 × 100 = $250

The difference between both costs is

250 - 100 = $150

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2 years ago

PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug

Wewaii [24]

Answer:

The shortest distance is 2.2 miles

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

$y=3x+2$

The slope of the river is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

$m=-1/3$

step 2

Find the equation of the line into point slope form

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

we have

$m=-1/3$

$point(2,1)$

substitute

$y-1=-(1/3)(x-2)$

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

$y=3x+2$ ------> equation A

$y-1=-(1/3)(x-2)$ -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$d=\sqrt{(1.7-1)^{2}+(-0.1-2)^{2}}$

$d=\sqrt{(0.7)^{2}+(-2.1)^{2}}$

$d=2.2\ miles$

6 0

2 years ago

A botanist is using two types of plants for an experiment. She writes inequalities to model the constraints on the number of eac

Valentin [98]

The vertex (5,39)

5 is the value of x. 39 is the value of y. y is the cost function of the minimum value in dollars.

(5,39) vertex means that <span>Buying five of each type of plant costs $39, which is the lowest possible cost.</span>

3 0

2 years ago

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Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Ca

MakcuM [25]

Answer:

Use the graph and table to answer the questions.

Which vehicle loses the most value each year?

Car

Which vehicle will lose all of its value first?

Car

If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?

Truck

Step-by-step explanation:

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2 years ago

Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5 Mark

Mazyrski [523]

Answer:

$6^2$

Step-by-step explanation:

The square root of a perfect square is a rational number.

So let us take the square root of each number to see which is a rational number.

$\sqrt{6^1}=\sqrt{6}$ ......irrational

$\sqrt{6^2}=6$ ......rational

$\sqrt{6^3}=6\sqrt{6}$ .........irrational

$\sqrt{6^5}=36 \sqrt{6}$ irrational.

Therefore $6^2$ is a perfect square

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2 years ago

Read 2 more answers