Sam left his school at 3:05. He walked at a speed of 3.2 mph. 15 minutes later, Al started running after him, and he caught up with Sam 10 minutes later. What was Al’s speed? Answer:

Answers

Answer 1

Total time taken by Sam before Al caught up with him = 15+10 = 25 minutes

In hours = 25 minutes = 25/60 = 5/12 hrs
Distance covered by Sam = Distance covered by Al = Speed (Sam) * time taken = 3.2*5/12 = 4/3 miles.

Al takes 10 minutes to cover that distance. Therefore,
Al's speed = Distance/time = (4/3)/(10/60) = (4/3)*(60/10) = 8 mph

Related Questions

stumpy the skeleton goes for a bike ride every night in the cemetery. He rides 1/2 way around the cemetery and stops. Stumpy then bikes 3/4 of the way around before stopping again. he finishes his ride by biking another 3/8. how far around the cemetery does stumpy bike?

Answers

He bikes 13/8 of the cemetery

Part I: Angle Sum Relationships
Arrange the three congruent triangles so that angles 1 and 3 are adjacent to one another, and angle 2 is adjacent to angles 1 and 3.

B. What do you notice about the three angles?

C. What do they appear to form?

D. What can you conclude about the sum of the angles in a triangle?

Answers

The three angles are adjacent to each other.
They appear to form a straight line.
It means that the sum of the three angles of a triangle is appears to be 180 degrees.

Answer with explanation:

→→The three Angles form a Linear pair.That is

⇒∠1+∠2+∠3=180°

→→When these three congruent triangles are joined they form a Trapezoid.

→→Sum of angles in a trangle is given by Angle sum property Axiom of triangle which states that sum of the angles in a triangle is 180°.

what is the gcf of 12 78 and 90

Answers

The greatest common factor of 12, 78, and 90 is 6.

Factors are the numbers, that when multiplied with another number, equal the product.

Factors of 12: 1, 2, 3, 4, 6, and 12.
Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 20, 45, and 90.

The Greatest Common Factor is the highest factor shared among the products. Thus proving 6 is the GCF.

I hope this helps!

Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If Morgan uses 5 pounds of raisins, how many pounds of raisins are in her supply?

Answers

There are 8 pounds of raisins in Morgan's supply.

Let us say there are 'a' pounds of raisins in her supply.

What is a fraction?

Fraction is a manner to represent part of a whole.

Raisins used to make trail mix = 1/4 of a = 1/4 a

Raisins used to make cookies = 3/8 of a = 3/8 a

It is given that:

Morgan uses 5 pounds of raisins,

[tex]\frac{1}{4} a+\frac{3}{8} a=5[/tex]

[tex]\frac{5}{8} a = 5\\\\a=8[/tex]

Therefore, there are 8 pounds of raisins in Morgan's supply.

To get more about fractions visit:

https://brainly.com/question/78672

Morgan's total supply of raisins is 8 pounds.

Let's denote the total supply of raisins by R. According to the problem, Morgan uses 1/4 of her supply to make trail mix and 3/8 of her supply to make cookies. Together, this amounts to a total of five pounds of raisins used.

We set up the equation to represent the total amount of raisins used:

1/4 R + 3/8 R = 5

We need to find a common denominator to combine the fractions. Here, the common denominator is 8:

(2/8) R + (3/8) R = 5

Combining the fractions gives:

(5/8) R = 5

To isolate R, we multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

R = 5 * 8/5

When we simplify, we get:

R = 8

So, Morgan's total supply of raisins is 8 pounds.

What is the value of q when the solution contains 2.50×x10−3 m mg2+ and 2.00×10−3m co32−?

Answers

The correct answer is: Q = [tex]5.0 * 10^{-6}[/tex]

Explanation:

The chemical equation is:
[tex]MgCO_3 \to Mg^{2+} + CO_3^{2-}[/tex]

The value of Q can be obtained as follows:

Q = [[tex]Mg^{2+}[/tex]][[tex]CO_3^{2-}[/tex]]
Q = [2.50×x10^−3][2.00×10^−3]
Q = [tex]5.0 * 10^{-6}[/tex]

Which expression is equivalent to

Answers

The equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]

Logarithms and indices

To get the equivalent expressions for the given logarithmic function, we will use the following laws of logarithm:

Laws of logarithm[tex]logab=loga+logb\\ log(\frac{a}{b} )=loga -logb[/tex]

Given the logarithmic function:

[tex]log_{12}(\frac{1/2}{8w}) [/tex]

This can be further expressed as:

[tex]log_{12}(\frac{1/2}{8w} )[/tex][tex]log_{12}(\frac{1/2}{8w} )=log\frac{1}{2}-log8w [/tex]

Using the product law of logarithm

[tex]log_{12}(\frac{1/2}{8w}) =log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]

Hence the equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]

Learn more on logarithm here: https://brainly.com/question/247340

What number is 8.0007 • 10 ^6 in scientific notation?

Answers

8,000,700

Take the decimal and move it six spaces to the right.

[tex]8.0007*(10*10*10*10*10*10)=8000700[/tex]

Answer is 8000700

Hope it helped you.

-Charlie

Find the area of 7.1m. Round to the nearest tenth. Use 3.14.

Answers

The area is 158.2874 m²

A school table has 8 sides of equal lengths. if one side is 4 feet, what is the perimeter of the table?

Answers

Since the table has 8 sides that all have the same length then multiply 4 by 8 so the answer is 32

One side = 4 feet

4 x 8= 32

Eight sides = 32 feet

use matrix method to solve x+4y=8 2x+y=9

Answers

In first equation, x has coefficient 1 and y has coefficient 4 and is equal to 8
In first equation, x has coefficient 2 and y has coefficient 1 and is equal to 9

So augmented matrix would looks like this:
[tex]\left[\begin{array}{cc|c}1&4&8\\2&1&9\end{array}\right][/tex]

Your goal is to transform matrix to look like this:
[tex] \left[\begin{array}{cc|c}1&0&x_{\text{answer}}\\0&1&y_{\text{answer}}\end{array}\right][/tex]

Steps to reach there:

Subtract first row from second row two times:
[tex]\left[\begin{array}{cc|c}1&4&8\\0&-7&-7\end{array}\right][/tex]

Multiple second row by -1/7:
[tex]\left[\begin{array}{cc|c}1&4&8\\0&1&1\end{array}\right][/tex]

Now subtract second row from first row 4 times:

[tex]\boxed{\left[\begin{array}{cc|c}1&0&4\\0&1&1\end{array}\right]}[/tex]

Which translate to
[tex]x+0y = 4\\\ \\0x+y=1[/tex]

So then x = 4 and y = 1.

Hope this helps.

Set A is the set of all positive multiples of 2 that are less than or equal to 20. Set B is the set of all positive multiples of 4 that are less than or equal to 20. How many elements are positive multiples of 4 that are less than or equal to 20, but are not positive multiples of 2?

Answers

A = {2, 4, 6, 8, 10, 12, 14, 16, 18}
B = {4, 8, 12, 16}

All elements of set B are also elements of set A.

Answer: None.
All multiples of 4 are automatically multiples of 2.

[tex]12 \times 778 [/tex]

Answers

Hope it helped you.
~~~~~~~~~~~~~~~~~~

778*12

Answer is=9336

-Charlie

Final answer:

To multiply 12 by 778, one needs to perform the standard multiplication process. Multiplying each digit of 12 by 778 individually and then adding the results provides the final answer, which is 9336.

Explanation:

The student's question involves performing a multiplication operation, specifically 12 multiplied by 778. To solve this without a calculator, one can use a standard multiplication technique as follows:

Write down the two numbers, with 778 above 12.

First, multiply 2 (the rightmost digit of the lower number) by 778 to get 1556.

Next, multiply 1 (the leftmost digit of the lower number) by 778 and remember to add a zero at the end (because it represents the tens place), which gives us 7780.

Add the two results, 1556 and 7780, to get the final answer, which is 9336.

The result of 12 times 778 is 9336.

Two functions are represented in different ways. Function 1: y = 32x + 45 Function 2: x y 0 65 1 85 2 105 3 125 Which statements are true? Select each correct answer. Function 1 has a greater rate of change than function 2. Function 2 has a greater rate of change than function 1. Function 1 has a greater y-intercept than function 2. Function 2 has a greater y-intercept than function 1.

Answers

Function 1: y = 32x + 45
rate of change = 32
y-intercept = 45 when x = 0

Function 2: x y 0 65 1 85 2 105 3 125
rate of change = (85-65)/(1-0) = 20
y-intercept = 65 when x = 0

So the following statements are correct:

Function 1 has a greater rate of change than function 2.

Function 2 has a greater y-intercept than function 1.

Answer:

Step-by-step explanation:

Function 1: y = 32x + 45 <- 45 is y-intercept

Function 2: x y 0 65 <- 65 is y-intercept

So Function 2 has a greater y-intercept than function 1.

Function 1: y = 32x + ... <- 32 is rate of change

Function 2: x y 0 65 1 85

rate of change = 85 - 65 = 20

So Function 1 has a greater rate of change than function 2.

if the customer's order came to $6.22 and he gave you $20.25 what is his change

Answers

He'll get $14.03 because 20.25 is what he gave but it only came up to 6.22 so 20.25-6.22=14.03

$14.03, just subtract $6.22 from the $20.25

A camera manufacturer spends $2,100 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $14 each. a. How many cameras must the company sell in one day to equal its daily costs? b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?

Answers

A. The profit for each camera itself is $5 a camera. So, to make $2,100 dollars they would have to sell 420 cameras (2,100 / 5 = 420).

B. If they sold an extra 50 cameras a day, since they make $5 a camera, that would give them an extra profit of $250 a day.

A. The company must sell 420 cameras, to make it equal to daily costs.
B. For making 50 more cameras each day, they'd make $250 dollars more per 50 cameras.

A. To find this, you can simply multiply 420 by $14. This will give you how much they make from selling that many cameras ($5,880). Next you need to multiply 420 by 9 (labor an material cost per camera), then add $2,100 (expenses). This will give you the same cost ($5,880), thus making them equal, and proving 420 is the answer.

B. To find this, you do the same steps as above, by replacing 420 with 470, (470*$14 = $6,580) and (470*9 + $2,100 = $6,330). Then you subtract $6,330 from $6,580. Thus getting $250.

I hope this helps!

Find the lowest common multiple of 28 and 210

Answers

Answer:

420

Step-by-step explanation:

210 = 14×15

28 = 14×2

The LCM wil be the product of unique factors;

... LCM = 14×15×2 = 420

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.

Answers

sqrt(7^2 + (23/2)^2) = 13.5 (1 d.p.)

Hey can you please help me posted picture of question

Answers

This will be a Experimental probability as you are performing a small observation and selecting the favorable outcomes based on your observation.

Probability based on experiments or observation made in given scenario is known as experimental probability.

So, the answer is option A

£600 is put in a bank. after a year the money has increased by 8% how much is now in the bank

Answers

increased = 8% x £600 = 0.08 x 600 = £48

Money in the bank now = £600 + £48 = £648

Answer: £648

The following figures were entered on a checking-account record. Add or subtract them to keep the running total correct. Balance forward $643.72 Check #5734 to Lupe's Market, for food, for $68.29 $ Deposit of $341.80, a paycheck $ Check #5735 to Broadmoor Community Center in the amount of $34.18 $ Check #5736 to Bill Baughman, for plumbing services, for $60.00 $

Answers

It is given Balance forward $643.72 in the account. An amount of $68.29 is given to to Lupe's Market, for food. In the account a Deposit of $341.80 is made.A Cheque of $34.18 is given to Broadmoor Community Center .Charge for for plumbing services, is $60.00 .

Transactions made in the account = $643.72-68.29+341.80-34.18-60.00

Amount left in the account =$823.05.

Answer:

Running Total = $823.05

Step-by-step explanation :

When the figures were entered on a checking account record to keep the running total correct :

Balance forward = $643.72

Check #5734 to Lupe's Market for food = $68.29

A deposit = $341.80

Check #5735 to Broadmoor Community Center = $34.18

Check #5736 to Bill Baughman for plumbing services = $60.00

Total Transactions :

643.72 - 68.29 + 341.80 - 34.18 - 60 = $823.05

Total balance = $823.05

Suppose there is exactly one index k such that a[k] = x. what is the expected number of indices into a that we must pick before we find x and random-search terminates?

Answers

Suppose there is only one index k such that a [k] = x. What is the expected index number of indexes that must be selected before x and random search?

Find the GCF of the following terms.
16xy^3 , 20x^2y^2 , -4x^2y

Answers

[tex]16xy^3=4xy\cdot4y^2\\\\20x^2y^2=4xy\cdot5xy\\\\-4x^2y=4xy\cdot(-x)\\\\GCF(16xy^3;\ 20x^2y^2;\ -4x^2y)=4xy[/tex]

Hey can you please help me posted picture of question

Answers

The correct answer is the option D.

The explanation is shown below:

1. As you can see in the figure attached, the blue parabola has the function f(x)=x^2. This is the patern function. By definition, this is the most basic function of the quadratics functions.

2. The red parabola is shifted 2 units to the -y axis and is wider than the first one, by multiplying the variable x. Therefore. As you can see, the correct function that represents this parabola is the function of the option D
3. If you want to verify it, you can give values to x and plot each point on a graph.

If you observe the two graphs you can note that:

a) F(x) is wider than G(x)
This can be obtained by multiplying the function by a value with magnitude less than 1.

b) F(x) is shifted down
This can be obtained by subtracting a number from the function value.

From the given option, only option D satisfies these conditions.

So, the correct answer is option D

#3 Q. the diagrams solve please

Answers

Its the first one, 22.5. This is because... if you multiply 5 and 4, you would get 20, the area of the square. You then have to multiply 1 and 5 to get 5 and divide it by 2 to get the area of the triangle which would be 2.5, then add 2.5 to 20 and get 22.5.
Hope this helps :)

Answer:
area = 22.5 ft²

Explanation:
The total area can be calculated by summing the areas of the rectangle and the triangle.

1- getting the area of the rectangle:
area of square = length * width
In the given, we have:
length = 4 ft
width = 5 ft
Therefore:
area of rectangle = 4 * 5 = 20 ft²

2- getting the area of the triangle:
area of triangle = 0.5 * base * height
In the given, we have:
base = 5 ft
height = 1 ft
Therefore:
area of triangle = 0.5 * 5 * 1 = 2.5 ft²

3- getting the total area:
Total area = area of rectangle + area of triangle
Total area = 20 + 2.5 = 22.5 ft²

Hope this helps :)

amelia and 2 of her friends went out to lunch. each girl ordered exactly the same meal. the total cost 55.08, which included 8% sales tax. what was the price of each meal, not including tax?

Answers

Cost of the meal with tax = 108% = $55.08

108% = 55.08
1% = 55.08 ÷ 108 = $0.51
100% = $51

3 meals = $51
1 meal = $51 ÷ 3 = $17

Answer: $17

Answer:

$16.8912

Step-by-step explanation:

We are given that Amelia and her two friends went out to lunch.

If each girl ordered exactly the same meal.

We have to find out the value of price of each meal without tax.

Total cost of meals=$55.08

Cost of 3 meals with tax=$55.08

Sales tax=8% of $55.08

8% of 55.08=[tex]\frac{8}{100}\times55.08[/tex]

8% of 55.08= $4.4064

Cost of 3 meals without tax=$55.08-$4.4064=$50.6736

Cost of each meal=[tex]\frac{50.6736}{3}=[/tex]$16.8912

Hence, the cost of each meal without tax=$16.8912

factor :
x^4 (x+4) + 9 (x+4)

Answers

[tex]x^4(x+4)+9(x+4)=(x+4)(x^4+9)[/tex]

hey can you please help me posted picture of question

Answers

If you observe the graphs, you can see that the graph of G(x) is obtained by moving F(x) 1 unit to left.

Moving one unit to left is equivalent to adding 1 to x in the base of the expression in given case.

So,

G(x) = F(x+1)

G(x) = (x+1)²

Thus the correct answer is option D

PLEASE HELP ME OUT ASAP!! I would really appreciate your help!

Answers

The first thing you need to do is get a graph for the corn. This one is not very good, but it will get you an answer. While the potatoes graph is going from 50000 to 40000 (slowly), the corn graph is going up like a rocket trajectory. So eventually, the Baker family will produce more corn than potatoes. That's D.

Answer D.

Problems with AB and C
A
The problem with A is that they won't always produce more potatoes than corn. That will happen only in the beginning.

B
Clearly B is wrong. The amount of corn in the beginning was 25000 pound. In the meantime potatoes were produced at a yearly rate of nearly 50000 pounds of potatoes.

C is wrong because of what A says.

Will give branliest!
Please help me!

The students in Mr. McIntyre’s class and the students in Mrs. Ramos’s class were asked how many pets they each have. The dot plots below show the results. Which compares the means of the data in the dot plots?

The mean for Mr. McIntyre’s class is about 2 more than the mean for Mrs. Ramos’s class.

The mean for Mrs. Ramos’s class is about 2 more than the mean for Mr. McIntyre’s class.

The mean for Mr. McIntyre’s class is about 1 more than the mean for Mrs. Ramos’s class.

The mean for Mrs. Ramos’s class is about 1 more than the mean for Mr. McIntyre’s class.

*The first picture is Mr. McIntyre’s Class
*The second picture is Mrs. Ramos’s Class

Answers

The mean can be calculated by adding all of the values and dividing that sum by the number of values you added. To take advantage of the way data is being collected, I am grouping the addends as, for example, 5(1), instead of writing out 1 + 1 + 1 + 1 + 1.

Mr. McIntyre's class mean is:
[tex]\frac{5(0)+5(1)+4(2)+ 1(3)}{5 + 5+4+1} = \frac{5+8+ 3}{15}= \frac{16}{15}= approx. 1.07[/tex]

Mrs. Ramos' class mean is:
[tex] \frac{1(0)+2(1)+2(2)+4(3)+3(4)+3(5)}{1+2+2+4+3+3} = \frac{2+4+12+12+15}{15}= \frac{45}{15}=3[/tex]

Based on these findings, we can conclude that the mean for Mrs. Ramos' class is about 2 more than the mean for Mr. McIntyre's class.

Answer:

If you are lazy like me the answer is B

Step-by-step explanation:

ur welcome :D

The value of (a-1)+a^2-b^2/1-ab+2(a-b)/2b when a=2 and b=-1 is ?

Answers

The value of (a-1)+a^2-b^2/1-ab+2(a-b)/2b when a=2 and b=-1 will be evaluated as follows:
substituting the values in the expression we obtain:
(2-1)+2^2-(-1)^2/1-(2*(-1))+2(2-(-1))/(2(-1))
simplifying the above we get:
1+4-1/1-(-2)+2(2+1)/(-2)
=1+4-1+2(3)/(-2)
=1+4-1-3
=5-4
=1

Answer: 1

Final answer:

The value of the expression (a-1) + a^2 - b^2 / (1-ab) + 2(a - b) / (2b) when a=2 and b=-1 is -5/3.

Explanation:

To calculate the given expression when a=2 and b=-1, we first plug these values into the expression, which is (a - 1) + a^2 - b^2 / (1 - ab) + 2(a - b) / (2b). After substitution, it simplifies as follows:

The term (a - 1) becomes (2 - 1), which equals 1.

The term a^2 - b^2 becomes 2^2 - (-1)^2, which simplifies to 4 - 1 = 3.

The denominator 1-ab becomes 1 - (2)(-1), which equals 1 + 2 = 3.

The term 2(a - b) becomes 2(2 - (-1)), which is 2(3) = 6.

The denominator 2b becomes 2(-1), which is -2.

Now, the full expression simplifies to (1 + 3) / 3 + 6 / -2. Simplifying further, we get 4 / 3 + (-3), which equals to 4/3 - 3/1. After finding a common denominator, the expression simplifies to (4 - 9) / 3, which is -5/3.

Therefore, the value of the expression when a=2 and b=-1 is -5/3.

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