Lisa leaves her house for a road trip and drives at a rate of 50 mph. Keisha leaves her house 1 hour later and drives along the same route at a rate of 60 mph. At any given time t, the distance traveled can be calculated using the formula d = rt, where d represents distance and r represents rate. Which system of equations can be used to find how long after Lisa departs her house she is passed by Keisha?A) d=50t
d=60t-1

B) d=50t
d=60(t-1)

C) d=50t
d=59t

D) d=50(t-1)
d=60t

Answers

Answer 1
Answer: B) d = 50t; d = 60(t - 1)
If the time t is in hours, and starts when Lisa leaves her house, then the total time she travels is t; while Keisha travels 1 hour less than the total time, (t - 1)

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The Keller family's dinner bill is $55.35. This includes an 8% meal tax and a 15% tip on original meal for the server

Answers

The Keller family spent a total of $63.04.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

First, let's find the cost of the meal before tax and tip.

We know that the total bill, including tax, is $55.35, which is equal to 100% + 8% (the tax rate) = 108% of the original meal cost.

We can set up an equation to solve for the original meal cost (let's call it x):

x + 0.08x = 55.35

Simplifying the left-hand side:

1.08x = 55.35

Dividing both sides by 1.08:

x = 51.25

So the cost of the meal before tax and tip was $51.25.

Next, let's calculate the amount of tax they paid:

0.08x = 0.08(51.25) = 4.10

So the tax they paid was $4.10.

Now let's calculate the tip they left for the server. They left a 15% tip on the original meal cost of $51.25:

0.15(51.25) = 7.69

So the tip they left was $7.69.

Finally, to find out how much they spent in total, we add up the cost of the meal, the tax, and the tip:

51.25 + 4.10 + 7.69 = 63.04

Therefore, the Keller family spent a total of $63.04.

Learn more about percentages here:

brainly.com/question/29306119

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Complete question:

The Keller family's dinner bill is $55.35. This includes an 8% meal tax and a 15% tip on original meal for the server how much did they spend in total?

You find 8% of 55.35  which is 4.42
Then you find 15% of 55.35 which is 8.30
You add them together which equals 12.72
You then subtract 12.75 from 55.35   55.35-12.75=42.63
The original price was $42.63

What is the formula for volume of a cylinder​

Answers

Answer:

V=πr2h

Explanation:

Hope this helps

Answer:

πr^2h

Step-by-step explanation:

it's pie multiplying square of radius and height of cylinder

Tanesha’s utility and telephone bills for the month totaled $150. The utility billwas 4 times as much as the telephone bill. How much was each bill?

Answers

X represents the cost of the phone bill

4x + x = 150
5x = 150
X = (150/5)
X = 30

Therefore the telephone is $30 and the utility bill is $120

What is the intersection of plane WZVS and plane STUV?

Answers

Answer:  The required intersection is the line 'VS'.

Step-by-step explanation:  We are given to find the intersection of the planes WZVS and plane STUV.

We know that,

If two planes intersect each other, then their intersection is a straight line.

As shown in the given figure, the point 'V' and 'S' lie on both the planes WZVS and STUV.

So, the line joining these two points, i.e., the line VS also lie on both the planes.

Therefore, the intersection of both the planes is the line 'VS'.

Thus, the required intersection is the line  'VS'.

An easy  way to find  this is to look at the cross section, and see where the lines meet

In a group of 55 people, 33 are coffee drinkers and 12 are tea drinkers. Assuming that no one in this group drinks both tea and coffee, what is the probability that a person picked at random from the group does not drink tea or coffee?

Answers

12+33=45. 45/55 people drink tea or coffee. This means if you picked someone randomly there would be a 45/55 chance that they drink tea or coffee. This means there is a 10/55 chance of someone who drinks neither. We can simplify this to 2/11.

Answer:

D. 2/11

Step-by-step explanation:

For all Plato users.

What is the percent of change from 4 to 1?

Answers

Answer:

1 is 25% of 4, so 75% decrease

Step-by-step explanation: