MATHEMATICS HIGH SCHOOL

Jade normally leaves work at 5:00 pm, but she is leaving work 10 minutes late today. She decides to make up time by taking the toll road instead of side streets. She can travel two times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work if she leaves late. Let x represent the number of minutes her normal commute takes when she leaves on time.

Answers

Answer 1

Answer:

Answer:

$Required\ number\ of\ minutes= (x)/(2)+10$

Step-by-step explanation:

Usual time(side streets) taken $=x\ minutes$

Jade can travel two times faster by taking the toll road so the time taken will be half from the toll road.

So travel time $=(x)/(2)$

Jade is $10\ minutes$ late

So total minutes after 5:00 PM to reach home $=(x)/(2)+10$

Answer 2

Answer:

Answer:

It will be answer choice D.

Step-by-step explanation:

It'll take the half the usual time because she is taking a road that get's her there 2 times faster, but also add 10 because she was 10 minutes late

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A farmer is planting a straight row of crops with 3 feet between each plant is 23 are planted what is the distance between the first and last plant

Answers

The distance between the first and last plant is $\fbox{\bf{\text{66 feet}}}$ .

Further explanation:

Given:

A farmer is planting a straight row of crops with 3 feet between each plant.

Calculation:

Consider the number of plant as $x$ .

The number of spaces $S$ between the plants is calculated as follows:

$S=x-1$ ……(1).

Since, the number of plants are 23, Substitute 23 for $x$ in equation (1) to obtain the number of spaces between the plants.

$\begin{aligned}S&=23-1\n&=22\n\end{aligned}$

Since, the distance between each plant is 3 feet, the distance $D$ between the first and last plant is calculated as follows:

$D=3S$ ……(2)

Substitute 22 for $S$ in equation (2) to obtain distance $D$ between the first and last plant.

$\begin{aligned}D&=3\left({22}\right)\n&=66\,\,{\text{feet}}\n\end{aligned}$

Thus, the distance between the first and last plant is $\fbox{\bf{\text{66 feet}}}$ .

Learn more:

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

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2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12

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3. what are the domain and range of the function f(x) = 3x + 5?

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Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:Plant, farmer, crops, feet, A farmer is planting, space between the plant is 3 feet, linear equation, straight lines, function, number of spaces.

Final answer:

The distance between the first and last plant in a straight row of 23 crops with a spacing of 3 feet each is 66 feet. This is calculated using the formula: (Number of plants - 1) * Distance between plants.

Explanation:

The problem requires you to find the total distance from the first to the last plant in a row of crops considering that each plant is planted 3 feet apart. This type of problem can be solved by simple arithmetic calculations.

You might think you should simply multiply the number of plants by the distance between them, but this would not provide the correct answer. The reason is that the distance between the plants is not the same as the distance from the first to last plant.

For example, if the farmer only planted two crops, there would only be 3 feet between them, not 6. Therefore, we need to use the formula: (Number of plants - 1) * Distance between plants.

To solve for our question, we’d get: (23 plants - 1) * 3 feet = 66 feet. Thus, the distance between the first and last plant is 66 feet.

Learn more about Plant Spacing Calculation here:

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#SPJ6

Pls help me on this function math question

Answers

the answer would be option C :)

Answer:

Second diagram

Step-by-step explanation:

Basically, for any of these options to be functions, each value in the domain must correspond to only one value in the range. So any option that has a value in the domain section with arrows pointing to multiple values in the range section is not a function, and not our answer. We must look for the option where there is only one range value for each domain value. So our answer is the second option.

What are the next four multiples of 1/8?

Answers

So,

We just keep adding $(1)/(8)$ to the number.

$(1)/(8) ; (2)/(8) ; (3)/(8) ; (4)/(8); (5)/(8)$

an easy way is to kee p multipliying it by the numbers
1/8 times 1=1/8
1/8 times 2=2/8
1/8 times 3=3/8
1/8 times 4=4/8
1/8 times 5=5/8

What is the monthly paycheck of an office manager whose salary is $57,000 per year

Answers

The answer to that question is $4,750

Mr. Lopez, Mrs. Manuel, Mrs. Manker and Mrs. Vo come to a river in the night. There is a narrow bridge, but it can only hold two people at a time. They have one torch and, because it's night, the torch has to be used when crossing the bridge. Mr. Lopez can cross the bridge in 1 minute,Mrs. Manker in 2 minutes, Mrs. Manuel in 5 minutes, and Mrs. Vo in 8 minutes. When two people cross the bridge together, they must move at the slower person's pace. The question is, can they all get across the bridge if the torch lasts only 15 minutes?[2]