You ride your bike to school. As you approach an intersection, you decrease your speed by 1.5 miles per hour per second. Select an inequality that represents the time tt (in seconds) until your speed decreases by more than 10.5 miles per hour. Then solve the inequality.

Answers

Answer 1

The acceleration is equal to the change in velocity per time. Now, the acceleration is said to be 1.5 miles/h·s. We are asked to find the corresponding time when the change in velocity is 10.5 miles/h such that the acceleration does not change.

a = Δv/t
1.5 = 10.5/t
t = 7 seconds

Answer 2

Answer:

The time elapsed is greater than 7 seconds

Step-by-step explanation:

From definition

acceleration = change in speed/time elapsed

or:

a = Δv/t

Rearranging:

a*t = Δv

If your speed decreases by more than 10.5 miles per hour, then:

Δv > 10.5

Replacing with the previous equation and solving for t:

a*t > 10.5

t > 10.5/1.5

t > 7 s

Related Questions

During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they sold 39 pairs in March. Find the percent of increase in sales.
35%
30%
23%
18%

Answers

30''''''''''''''''''''

Hello! First off, we subtract the old value from the new value, and we have a change of 9 pairs of shoes. Then, we do 9/30 to get 0.3 and then multiply by 100 to get 30. The percent increase of sales is 30%. The answer is B: 30%.

p: If two out of five people use the subway every day, then the probability of a person using the subway is 0.4.

Answers

2 divided by 5 = 0.4

so that statement is true.

2 angles, angle A and angle B, form a linear pair. Angle B is an obtuse angle. What type of angle is angle A

Answers

Linear pair is angles that make up a straight line, or in other words, 180 degrees. If one angle is obtuse (bigger than a right angle/90 degrees), then the other angel will be acute (smaller than a right angle/90 degrees).

So, the answer: acute angle.

God bless!

Dan has a flower shop. Each day he displays 24 roses. He gives away 10 and sells the rest. Each day he displays 36 carnations. He gives away 12 and sells the rest. What expression can you use to find out how many roses and carnations Dan sells in in a week.

evaluate the expression to find out how many roses and carnations dan sells in a week

Answers

24 × 7 - (10 × 7)
36 × 7 - (12 x 7)

Jamir spent $15 on Halloween candy. If each bag of candy costs $2.50, how many bags of candy did he buy?

Answers

Final answer:

To find out how many bags of candy Jamir bought with $15, divide the total spent by the cost per bag, which is $2.50. This calculation is similar to finding total spend on fruits by multiplying the quantity by price per unit. Jamir was able to buy 6 bags of candy.

Explanation:

To answer the question of how many bags of candy Jamir bought, we need to perform a basic division operation.

The total amount Jamir spent on Halloween candy is $15, and he purchased each bag for $2.50.

Therefore, to find the total number of bags of candy that Jamir bought, we divide the total amount spent by the cost per bag.

Drawing a comparison to similar calculations, if we look at other examples such as spending on fruits, we can see a consistent method of calculation:

10 apples at 50 cents each results in $5.00 spent on apples.

12 bananas at 20 cents each gives us a total of $2.40 spent on bananas.

Similarly, 2 bunches of grapes at 65 cents per bunch would equal a spend of $1.30.

Lastly, if we purchase 1 pint of raspberries at $2 each, we spend $2.00 on raspberries.

The same concept applies to Jamir's Halloween candy purchase. By dividing $15 by $2.50, we get the number of bags he was able to buy, which is 6 bags of candy.

Therefore, Jamir bought 6 bags of Halloween candy with his $15.

Final answer:

Jamir was able to buy 6 bags of Halloween candy for $15, given each bag's price of $2.50.

Explanation:

Jamir spent $15 on Halloween candy, with each bag costing $2.50. To find out how many bags of candy Jamir could buy, we divide the total amount spent by the cost per bag of candy.

The calculation would be as follows:

Divide the total amount spent, $15, by the cost per bag, $2.50.

$15 ÷ $2.50 = 6.

Therefore, Jamir bought 6 bags of Halloween candy.

Kira and ahmad walk around a track. Kira walks each lap in 10 minutes.Ahmad walks each lap in 12 minutes. The two of them begin at the starting line at the same time.They walks until they meet again at the starting line. How much times does it take for them to meet again at the starting line? How many laps did kira complete? How many laps did ahmad complete Plz help <3

Answers

Kira completed 22 Laps, and Ahmad completed 24 laps.

A science teacher needs to choose 4 students from a class of 20 to go to the library to do some research. How many different groups can he select?

Answers

The number of groups the science teacher can make is 5.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The total number of students is 20.

And, the number of students in one group is 4.

Now, the number of groups can be found using the following operation as,

Number of group = Total students ÷ Number for each group

⇒ 20 ÷ 4 = 5.

Hence, the total number of groups can be obtained as 5.

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1. Find a counterexample.

If two angles are complementary, then they are not congruent.

Answers

45 and 45 degrees.

45 = 45
45 + 45 = 90

Find a number whose product with 9 is the same as its sum with 56

Answers

Let x be that number.
9x must be the same as x+56:
[tex] 9x = x+56[/tex].
We substruct x from both sides:
[tex] 8x = 56[/tex]
and we divide by 8 in both sides of the equality:
[tex] x = 7[/tex]

Final answer:

The requested number is 7, which when multiplied by 9 or added to 56, gives the same result of 63.

Explanation:

To find a number whose product with 9 is the same as its sum with 56, we set up the equation x * 9 = x + 56. Solving for x, we first distribute the 9 to the x, resulting in 9x = x + 56. Next, we subtract x from both sides to get 8x = 56. Finally, we divide both sides by 8 to find that x = 7. Hence, 7 is the number we are looking for, as 7 * 9 = 63 and 7 + 56 = 63, confirming that the product and the sum yield the same result.

what is the solution to the inequality 2n+5 > 1

Answers

Final answer:

The solution to the inequality 2n + 5 > 1 is n > -2 after isolating the variable n and simplifying the equation.

Explanation:

The solution to the inequality 2n + 5 > 1 involves some basic algebra. First, we should isolate the variable, n, on one side of the inequality. This is accomplished by subtracting 5 from both sides of the inequality which gives us: 2n > 1 - 5.

Simplifying the right side gives us 2n > -4. Then, we need to divide every term by 2 which gives us n > -4/2. Simplifying further, we find that the solution to the inequality 2n + 5 > 1 is n > -2.

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What is the best first step for solving the given system using substitution while avoiding fractions?

2x+6y=7
6x+18y=24

a. Solve for x in the first equation.
b. Solve for y in the first equation.
c. Solve for x in the second equation.
d. Solve for y in the second equation.

Answers

solve with subsitution avoiding fractions

2x+6y=7
6x+18y=24

if we solve for x in first, we get x=-3y+7/2, has fractions so no
if we solve for y in first, we get y=-x/3+7/6, has fractions so no
if we solve for x in the 2nd, we get x=-3y+4, no fractions so yay
if we solve for y in the 2nd, we get y=-x/3+4/3, has fractions so no

answer is C

Well, it says to avoid fractions. So I did the math:

Solving for x in the first equation get you: [tex]x= \frac{7}{2}-3y [/tex]

Solving for y in the first equation gets you:[tex]y= \frac{7}{6} - \frac{2}{6}x [/tex]

Solving for x in the second equation gets you: [tex]x=4-3y[/tex]

Solving for y in the second equation gets you:[tex]y= \frac{24}{18} - \frac{6}{18}x [/tex]

If you look you can see the only option that does not give you fractions is if you solve for x in the second equation. So your answer is c! I hope this helps! =)

√(-3) is negative, positive, undefined, or an integer

Answers

Undefined:

You can’t take the square root of a negative number, it is impossible because negative numbers squared are still positive.

Hope this helps!

Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in miles per hour if there are 5,280 feet in a mile?

Which girl bikes faster?

Answers

3400/60 = 56.6666 minutes/60 = 0.94 hours

63360/5280 = 12 miles

12/0.94 = 12.76 miles per hour for Nina

Nina is faster

Cynthia besch wants to buy a rug for a room that is 1313 ft wide and 2222 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 112112 square feet of carpeting. what dimensions should the rug have?

Answers

Alright, so if the uniform strip is x feet long, (1313-x) represents the width of the rug and 2222-x represents the length of the rug (given that the uniform strip is uniform all around the room) due to that the difference between the length of the room and the uniform strip is the rug because there is nothing else on the floor.

Since the area is 112112 square feet, we get that (1313-x) *(2222-x) is the area of the rug which equals 112112. Multiplying it out, we get
x^2-2222x-1313x+(1313*2222)=112112. Next, we get
x^2-3535x+2917486=112112, and we subtract 112112 from both sides to get x^2-3535x+2805374=0. Using the quadratic formula, we get
(3535+-sqrt(3535^2-4*2805374))/2=either around 2332 or 1203. Since it can't be 2332 due to that 1313 is less than that and the rug cannot be negative in width, we get 1203 as the uniform width.

The dimensions of the rug are 1313-1203=around 110 as the width and 2222-1203=around 119 feet

explain too

1.Evaluate the expression.

[(24÷12)⋅6]+3⋅8÷2

2.Evaluate the expression.

(26÷13)⋅(−7)+14−4

3.Simplify this expression.

9 + 3 × 2

15

21

24

48

4.What is the value of this expression?

6⋅[(32−8)÷4+2]

5.Simplify.

6y+5z+8y−3z

11y + 5z

14y +2z

14y + 8z

16yz

Answers

1. [(24÷12)⋅6]+3⋅8÷2 = (2⋅6) + 3⋅8 /2 = 12 + 12 = 24

2.(26÷13)⋅(−7)+14−4 = 2 ⋅ (-7) + 14 - 4 = -14 + 14 - 4 = -4

3.9 + 3 × 2 = 6 + 9 = 15

4.6⋅[(32−8)÷4+2] = 6 ⋅ (24 / 4 + 2) = 6 ⋅ (6+2) = 6 ⋅ 8 = 48

5.6y+5z+8y−3z = 14y + 2z

Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the equation.

Plot the point _______, move _______ unit(s) down, and _______ unit(s) over to find the next point on the line.

Answers

The point-slope form of the equation of the line is:

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

So, (y + 2) = - 1/3 (x - 4) in the point-slope form is:

[y - (-2) ] = (-1/3) [ x - 4 ]

You must, then realize that the line passes through the point (4,-2) and its slope is - 1 /3.

That slope, -1 / 3, means that the function is decresing (because the slope is negative), and it decreases one unit when x increases 3 units.

Now you can fill in the blanks in this way:

Plot the point (4, -2), move 1 unit down, and 3 units over to find the next point on the line.

How many different 7-place license plates are possible if the first 3 places are to be occupied by letters?

Answers

7 divided by 3 = 0.3

Determine the slope of a line perpendicular to the line with equation 6x-4y= 30

Answers

6x - 4y = 30
-4y = -6x + 30
y = 3/2x - 15/2....slope here is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So ur perpendicular line will have a slope of -2/3 (see how I flipped 3/2 making it 2/3...and then changed the sign, making it -2/3)

answer : perpendicular line will have a slope of -2/3.

Start by putting it in slope intercept form.
6x - 4y = 30
6x - 30 = 4y
(6/4)x - 30/4 = y
simplify
(3/2)x - 15/2 = y

A perpendicular line will have a reversed slope. Take the negative reciprocal (flip it over, make negative).
slope of perpendicular line: -2/3

HELP PLEASE The Appalachian Mountains had what effect on the people of the thirteen original colonies? A) they acted as a barrier to further settlement to the west B) they provided protection to the colonists from invading Indians C) they provided protection to the colonists from Spanish conquistadors D) animals lived there and were an important food source to major cities in the East

Answers

The answer is A they acted as a barrier to further settlement to the west. The Appalachians were the western outskirt of the states. They were an obstruction that kept them closer to the drift. The mountains stopped expansion of the colonies. To hard to go over to create new colonies

the answer is...

A) they acted as a barrier to further settlement to the west

I need help with number 8,please.

Answers

assume that the number of sodas jose drinks is m, number of sodas that yasmine drinks is n and number of sodas that sally drinks in p.
jose drinks twice as much as yasmine, this means that:
m = 2n ......» equation 1
sally drinks 3 fewer than jose, this means that:
p = m - 3 ......» equation 2
total number of sodas is 72, this means that:
m + n + p = 72 .......» equation 3
substitute by 1 and 2 in 3:
m + 0.5m + m - 3 = 72
2.5m = 75
m=30
substitute in 1:
30=2n ......» n=15
substitute in 2:
p=m-3 ......» p=27
based on these calculations:
jose drinks 30 sodas
yasmine drinks 15 sodas
sally drinks 27 sodas

Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane?

Answers

The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).

The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.

Because it tells you the lengths of the trapezoid's bases and height.

For example, the base lengths are as follows:

a - (-a) = a + a = 2a

c - (- c) = c + c = 2c

height: b-d

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The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).

An isosceles trapezoid is a type of trapezoid (a quadrilateral with at least one pair of parallel sides) where the non-parallel sides are congruent (have the same length). The base angles, formed by the intersection of the non-parallel sides and the parallel sides, are also congruent in an isosceles trapezoid.

The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.

Because it tells you the lengths of the trapezoid's bases and height.

For example, the base lengths are as follows:

a - (-a) = a + a = 2a

c - (- c) = c + c = 2c

height: b-d

If the polynomial x5 − 105 can be split as the product of the polynomials x − 10 and a, what is a?

Answers

Hello,

using synthetic division,
[tex]x^5-10^5=(x-10)(x^4+10x^3+100x^2+1000x+10000). [/tex]

Answer:

Value of a is:

[tex]x^4+10x^3+100x^2+1000x+10000[/tex]

Step-by-step explanation:

we know that:

[tex]x^n-a^n=(x-a)(x^{n-1}+ax^{n-2}+a^2x^{n-3}+...+a^{n-2}x+a^{n-1})[/tex]

Here, a=10 and n=5

[tex]x^5-10^5=(x-10)(x^4+10x^3+100x^2+1000x+10000)[/tex]

[tex]x^5-10^5=(x-10)a[/tex]

⇒ [tex]a=x^4+10x^3+100x^2+1000x+10000[/tex]

Hence,Value of a is:

[tex]x^4+10x^3+100x^2+1000x+10000[/tex]

Is this a function?

Answers

A function is where each input (x) has only 1 output (y). Since no x values have more than one y value, this is a function (answer A)

Which fraction represents the decimal .12 repeating

Answers

The answer is c.) 4/33

Write a real world description to fit the expression -59/5

Answers

A debt of $59 dollars owed by five (5) ladies and will also be divided among them. They borrow $59 dollars to buy the materials for their science project because 3 out of 5 ladies do not have money to spend to their science project.

The north american and european continents are moving apart at a rate of about 3 cm/y. at this rate how long will it take them to drift 500 km farther apart than they are at present?

Answers

In this case, the continents are moving apart at a rate (velocity = 3 cm/y) and the distance for continent to move(distance= 500km). You are asked how long it will take(time). Then to answer this question you need to convert the 500km into the same unit as the velocity which was cm. The formula would be:

Distance = velocity x time
500km x 10^5 cm/km= 3cm/year x time
time= 5x 10^7 cm / (3cm/year)
time= 1.7 x 10^7 year or 17 million year

Final answer:

The North American and European continents will take approximately 166,667 years to drift 500 km farther apart than they are at present.

Explanation:

The North American and European continents are moving apart at a rate of about 3 cm/y. To determine how long it will take for them to drift 500 km farther apart than they are at present, we can use the formula:

Time = Distance / Rate

First, we need to convert the distance from kilometers to centimeters. There are 100,000 centimeters in 1 kilometer, so 500 km is equal to 500,000 cm.

Using the formula, the time it will take is:

Time = 500,000 cm / 3 cm/y

Calculating this, we find that it will take approximately 166,667 years for the continents to drift 500 km farther apart than they are at present.

Converting improper fractions to mixed numbers questions

Answers

I can help you because I know how to convert fractions to mixed numbers, but what is the question exactly?

A used car dealership buys a car for $2800 and then sells it for $4500 what is the percent increase?

Answers

Alright, so we have the difference = 4500-2800=1700. To find the percent increase, we do 1700/2800=around 0.61 = around 61% percent

The percentage is the indicating hundredth of any change in quantity thus the percentage increase of cars from $2800 to $4500 is 60.72%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given question,

Buying cost of car = $2800

Selling cost of car = $4500

Percentage change = (change/original) × 100

Percentage change = [(4500 - 2800)/(2800)] × 100

Percentage change = [(1700)/2800] × 100

Percentage change = 0.607 × 100

⇒ 60.72%

Hence "The percentage is the indicating hundredth of any change in quantity thus the percentage increase of cars from $2800 to $4500 is 60.72%".

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Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year if it is compounded monthly versus no compounding

A:$0.10
B:$15.00
C:$1015.00
D:$1015.10

Answers

Assuming that 1.5% annual interest is converted to monthly basis with the same amount, then the monthly interest should be: 1.5%/12= 0.125%.

If you put $1000 for annual interest, the saving account would become: $1000*(100%+1.5%)= $1015

If you put $1000 for monthly interest, the saving account would become: ($1000*(100%+0.125%)= $1000*1.0151035559= $1015.10

Then, the money difference should be: $1015.10-$1015= $0.10

Suppose a number from 1 to 100 is selected at random. what is the probability that a multiple of 4 or 5 is chosen?

Answers

the range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.
100/4 = 25
100/5 = 20

probability of choosing multiple of 4
25/100 = 1/4
probability of choosing multiple of 5
20/100 = 1/5

the probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice. 5/100 = 1/20
20, 40, 60, 80, 100

when "or" is used, add the probabilities, subtract the duplicates.

1/4 + 15 - 1/20 =
5/20 + 4/20 - 1/20 = 8/20 = 2/5

The probability that a multiple of 4 or 5 is chosen is 2/5.

The range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.

100/4 = 25

100/5 = 20

The probability of choosing a multiple of 4

25/100 = 1/4

The probability of choosing a multiple of 5

20/100 = 1/5

The probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice.

5/100 = 1/20

20, 40, 60, 80, 100

When or is used, add the probabilities, and subtract the duplicates.

1/4 + 15 - 1/20

=5/20 + 4/20 - 1/20

= 8/20

= 2/5

The probability that a multiple of 4 or 5 is chosen is 2/5.

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