The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes. What was Alex's average speed?

Answers

Answer 1

It is given in the question that

The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes.

Total distance is 625 meters and total time taken is

[tex] (10+15) minutes=25minutes [/tex]

Average speed is

[tex] \frac{total \ distance \ travelled}{total \ time \ taken} [/tex]

[tex] = \frac{625}{25}meter/minute = 25 meter/minute [/tex]

Answer 2

Answer:

25 minutes

Step-by-step explanation:

Related Questions

In a bag, there are cards each with one of the numbers {1, 2, 3, 4, 5} written on them. Kenneth reaches into the bag, selects a card, and then replaces it. He repeats this 16 times with the following results.

Number on selected card 1 2 3 4 5

Frequency 5 3 2 4 2

What is the relative frequency that Kenneth selects the card with 4 written on it? Enter your answer in the box.

[]%

Answers

The relative frequency of drawing a 4 is 25%.

A relative frequency gives us the fraction of times an event occurs.

Kenneth drew the 4 card 4 times out of 16 draws; this gives us 4/16 = 1/4 = 25%.

The front flap of a tent is shaped like an isosceles triangle. The base of the triangle is 16 feet and the height of the triangle is 6 feet. What is the length of the congruent sides of the triangle?

Answers

thats easy sense isosceles triangles are small you need to have small angles so you just add 16 and 6 to get both of the angles so that equals 22 and there is your answer 22 feet ur welcome.

A full punch bowl holds 4 gallons of punch , if each glass holds 4 ounces of punch,how many glasses can be filled from a full punch bowl?

Answers

128 cups could be filled.

128 glasses can be filled from the punch bowl

Which triangles are congruent by ASA

Answers

Answer:

Option B. ΔABC ≅ ΔFGH

Step-by-step explanation:

In the given picture if we compare ΔFGH and ΔABC

side FG = BC

and AB = GH

and angle between them are equal

∠FGH = ∠ABC

Therefore SAS property of congruence is true for these triangles.

Option B. ΔABC ≅ ΔFGH

What is 1 over 10 as a percentage?

Answers

It's 10%! ;3 (I think.)

Answer:

10% or .1 or .10

Step-by-step explanation:

Pierce used the proportion y/x=7/2 when deriving the equation of a line with similar triangles.select 2 that apply and explain

a.the slope of line is 0
b.the slope of line is 2/7
c.the slope of line is 7/2
d. the y int is 0
e.the y int is 2/7 f the y int is 7/2 and again explain plz

Answers

[tex] \frac{y}{x} = \frac{7}{2} [/tex]
Cross multiply.

2y = 7x
Solve for y.

y = 7/2x

C) The slope of the line is 7/2
D) The y-intercept is 0

You know the slope is 7/2 because it is the coefficient of x.
You know the y-intercept is 0 because there is no other number besides 7/2x, which is the slope.

Final answer:

The proportion y/x = 7/2 indicates that the slope of the line is 7/2. Without additional information, we cannot determine the y-intercept from this proportion.

Explanation:

Pierce used the proportion y/x = 7/2 when deriving the equation of a line with similar triangles. This proportion suggests that for every 2 units of increase in x, y increases by 7 units. Therefore, the slope of the line, which is the ratio of the change in y (rise) to the change in x (run), would be 7/2. Thus, the correct answer is (c) the slope of the line is 7/2.

Because the question does not provide a specific point on the line, we cannot determine the exact y-intercept from the information given. However, since the proportion does not indicate any specific y-intercept value, we cannot conclude that it is 0, 2/7, or 7/2 without additional information. We only know the relationship between y and x given by the slope.

combine terms 12a+26b-(4b+16a)

Answers

12a-16a=-4a ; 26b-4b= 22b
-4a+22b is your answer

Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will the artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the price increase goes into effect

Answers

Answer:

Step-by-step explanation:

Let the cost of canvas be $x per sq inches.

Measurement of the canvas bought by the artist is

24 × 36 inches

Area of canvas = 24×36= 864 sq inches

Cost of canvas = 864x

New cost of canvas =x+5% of x

=x+0.05x

=1.05x

New Cost of canvas = 907.20x

Increase in price=907.20x-864x=43.2x

Percentage = [tex]\frac{43.2x}{864x}*100[/tex]

= 5%

Hence artist is going save 5% of cost by buying sheet today.

It takes a boat going upstream 11 hours and 9 hours downstream. What is the speed of The boat if the current is 2mph

Answers

well the speed of the boat changes depending on if it is up or down stream.
if it is going down stream it is with the current so there is a 2 mph assistance.
if upstream then 2 mph resistance.
i feel like there should be a given distance
11 hours to get to where, how far?
or simply answer 11-2=9 and 9+2=11. So possibly average it at 10.

Remark
You don't need the distance. The only thing that matters is the times (and assuming the same rate is used no matter what the current is doing). The distance coming and going is the same.

d_coming = d_going
t upstream = 11 hours
t downstream = 9 hours
current = 2 mph
rate_up = rate_down = r

General formula
d = r * t

Specific Formula
11(r - 2) = 9(r + 2) Note he seems faster with less time. That olnly means that the current is going in the same direction he is.

Solve
11(r - 2) = 9(r + 2)
11r - 11 =9r + 18 add 11 on both sides.
11r = 9r + 18 + 11
11r = 9r + 29 subtract 9r from both sides.
11r - 9r = 29
2r = 29 divide by 2
r = 29/2
r = 14.5

Answer
The speed of the boat is 14.5 miles per hour.

A new, trendy department store is experiencing exponential growth across America. The chain began in 2004 when it opened 16 stores in Texas. Since then, it has grown by 35% in new store openings each year. Create an exponential function below to show the number of stores each year, x, since 2004.

Answers

The equation is y=16(1.35)ˣ.

This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time. For our problem, a is 16; b is 0.35 (35%=35/100=0.35). This gives us the equation above.

Find the mean and median of these data: 2,5,9,11,17,19

Answers

Mean = add up all the numbers and divide the sum by the number of numbers you added up.

Median = arrange the data from least to greatest and find the number in the middle.

2, 5, 9, 11, 17, 19

Mean:
2 + 5 + 9 + 11 + 17 + 19 = 63
63 ÷ 6 = 10.5
The mean of the data is 10.5.

Median:
2, 5, 9, 11, 17, 19
The middle numbers are 9 and 11.
Find the mean between them, which is 10.
The median of the data is 10.

A pizza corner offers a choice of 2 types of pizza bases and 8 types of pizza toppings. How many different single topping pizzas can a customer order?

Answers

8 times 2 is 16 bud

Please someone help!!! The sides of the base of a square right prism are 16 cm each and the height of the prism is 10 cm. what is the surface area of this prism?

Answers

the surface area is 1152 cm^2

Answer:

Step-by-step explanation:

A square garden has a perimeter of 60 yards. If one yard is approximately 0.9 meters, which of the following best represents the area of the garden in square meters?

Answers

Final answer:

To find the area of a square garden in square meters given its perimeter in yards, we first determine the side length by dividing the perimeter by 4, then convert this length into meters using the conversion rate, and finally square this metric side length to get the area in square meters.

Explanation:

The question you've asked involves calculating the area of a square garden in square meters given its perimeter in yards and a conversion factor between yards and meters. To solve this, we first determine the length of one side of the square garden using the given perimeter. The formula for the perimeter of a square is 4 × side length, so to find the side length, we divide the perimeter by 4. Given a perimeter of 60 yards, the side length is 15 yards.

To convert the side length into meters, we use the conversion factor that 1 yard is approximately 0.9 meters. Therefore, 15 yards × 0.9 meters/yard gives us 13.5 meters. Lastly, to find the area of the garden in square meters, we square the side length in meters, which is 13.5 meters × 13.5 meters = 182.25 square meters. This completes our calculation, showing that the area of the garden is approximately 182.25 square meters.

20 POINTS TWO QUESTIONS AND I WILL MARK BRAINLIEST THANK YOU SO MUCH!!!!!

Image 1. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?

Image 2. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?

Answers

1. 136
2. 107
The angles are the same if you look closely

what does x equal? ......

Answers

Let's look at this. We can see that both sides are equal.
x + 9 = 9 + xis the same thing asx + 9 = x +9
No matter what you put x to, they will be equal to each other. This means that x can equal anything, unless it is somehow not a number. For example, it cannot be infinity or negative infinity because it is not a number. This means that x can equal any real number or imaginary number.

It takes typically $27 to fill up your tank up with gas. You have allotted no more than $108 on gasoline for your trip. A) Write and B) solve an inequality to find out how many times you will get to fill up your tank up witj gas.

Answers

A) 27x ≤ 108
B) x ≤ 4

Explanation
Let x be the number of times you can fill up. It takes $27 each time, so this gives us 27x. We are budgeting no more than $108 on gas, so this means our inequality will be "less than or equal to":
27x ≤ 108

To solve this, we divide both sides by 27:
27x/27 ≤ 108/27
x ≤ 4

Final answer:

The student can fill up their gas tank up to 4 times within their $108 budget for gasoline. The inequality used to determine this is 27n ≤ 108, solved by dividing both sides by 27.

Explanation:

To solve the student's question regarding how many times they can fill up their gas tank within a $108 budget, we need to set up an inequality and solve it. Let's define the variable n as the number of times they can fill up their tank.

Step A: Write the Inequality

Since it costs $27 to fill up one tank, and the student has budgeted no more than $108 for gas, the inequality will be:

27n ≤ 108

Step B: Solve the Inequality

To find out how many times the student can fill up the tank, we divide both sides of the inequality by 27:

n ≤ [tex]\frac{108}{ 27}[/tex]

n ≤ 4

Therefore, the student can fill up their gas tank up to 4 times within their budget.

Lavender rolled a number cube 90 times. the outcome of the number 6 occurred 18 times. Compare the theoretical to the experimental probability of rolling the number 6.

Answers

By comparing the theoretical probability of 1/6 with the experimental probability of 1/5, one can see that the experimental probability is one that is slightly higher.

What is the outcome of the number

Based on the question, to compare the theoretical and experimental probabilities of rolling the number 6, one have to calculate both probabilities.

The theoretical probability is seen as the expected probability according to the assumption of a fair six-sided number cube.

Based on the fact that there are six equally likely outcomes (numbers 1 to 6) on the cube, the theoretical probability of rolling a 6 is 1/6.

So, the experimental probability is based on the actual outcomes observed in Lavender's 90 rolls.

According to the given information:

Lavender rolled the cube 90 times and got the outcome of 6 in 18 of those rolls.

So: Experimental probability = Number of successful outcomes / Total number of outcomes

= 18 / 90

= 1/5

Hence, the experimental probability of rolling the number 6 is 1/5.

Since the experimental probability is slightly higher, one can say that it could be as a result of random variation or a biased number cube.

Answers

Use the formula (since I can’t put special characters) y sub 2 minus y sub 1 divided by x sub 2 minus x sub 1 and plug the coordinates into this equation

Answer:
slope = 2

Explanation:
The slope of the line can be calculated using the following rule:
slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

In the given, we have:
point (-1 , 4) representing (x1 , y1)
point (3 , 12) representing (x2 , y2)

Substitute with the givens in the above formula to get the slope as follows:
slope = [tex] \frac{12 - 4}{3 - -1} = 2[/tex]

Hope this helps :)

A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

A) Octagon
B) Hexagon
C) Heptagon
D) Quadrilateral

Answers

Answer :

The Correct Option is B) Hexagon

Step-by-step explanation :

Let number of sides in a polygon be n

The triangles are created by drawing the diagonals from one vertex to all the others.

Since there is no overlapping of the triangles so no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex would lie on top of the adjacent sides, therefore number of diagonals from a single vertex is three less the the number of sides, or n - 3 and the number of triangles is one more than that, so n - 2.

⇒ Number of triangles = number of sides in polygon - 2

⇒ Number of triangles = n - 2

⇒ n = 4 + 2

⇒ n = 6

And the polygon containing 6 sides is called Hexagon

Hence, the correct Option is B) Hexagon

Answer:

Step-by-step explanation:

Determine which ordered pair is a solution of y = x to the power of 2, minus 2. Choices: (5,21), (-5, 24), (-1, -1), (-2, 6)

Answers

ohhh i get it that one dude is right it is c

Answer: Below

Step-by-step explanation:

Y and x can be any number you have to start of with a number for x, you can't put (y,x)^2-2 if you don't know a value

A total of 907 people went to a fishing tournament. Of these people 627 arrived before noon.Alina estimates that fewer than 300 people arrived in the afternoon. How did she estimate?

Answers

she subtracted 627 who arrived before noon from 907 people which is the total and got 280 people who came in the afternoon.

Among the expressions, two of them have the same result. Which are they?

a. -25+18+9+(-15)–(-13)
b. (-40)÷(-2)×15-100
c. (-7)×(-5)–(-37)–72

People help me, my account is going wrong!

Answers

I just plugged all three of these equations into a calculator and A and C both equal 0.

Hope this helped.

Since there are 6 faces on a die, there is a 1/6 chance of rolling a die and getting a 5.

Answers

yes. that statement is correct, but what is the question

yes, that is true. no matter what number you are trying to roll on a die, it will be 1/6.

The equation h(t) = − 16t^2 + 19t + 110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff.

What is the initial velocity when the rock is thrown?

Answers

That would be the coefficient of the t term: 19 ft/sec, upward.

ummm.. i think 19 feet per second and it would probably (i think) be thrown upward

10 points! Please Help! ASAP!!

Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid:

What set of transformations is performed on ABCD to form A′B′C′D′?

A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
B translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin
C 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
D translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin

Answers

A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left

Write this number in standard notation- (BTW 1/10 means a fraction)
(5 × 10) + (6 × 10) + (7× 1/10) + (3 × 1/10)

Answers

(5x10=50)
(6x10=60)
(7x1/10=7/10)
(3x1/10=3/10)

50+60+7/10+1/10

50+60+8/10
110+4/5 = 110 4/5

110 4/5 is the answer

Brainliest Please

find the interquartile range for the data set: 10,3,8,6,9,12,13

Answers

Answer:

The interquartile range would be 6.

Step-by-step explanation:

3, 6, 8, 9, 10, 12, 13,

Median: 9

Lower quartile (Q1): 6

Upper quartile (Q2): 12

(IQR) Interquartile Range: 12 - 6 = 6

The interquartile range for the data set is, 6

We have to given that,

The data set is,

⇒ 10,3,8,6,9,12,13

We can arrange data set in ascending order,

⇒ 3, 6, 8, 9, 10, 12, 13

Hence, First quartile (Q₁) = 6

Second quartile (Q₃) = 12

Hence, The interquartile range for the data set is,

Interquartile range = 12 - 6

Interquartile range = 6

Learn more about IQR on:

brainly.com/question/4102829

#SPJ2

PLEASE HELPPPPPPPPPPPPPPP

Answers

8-(2/x)
"Minus" means subtraction, and "quotient" means division.

8 - 2/x
"eight minus" 8-
"the quotient" .. ÷ ..
"of two" 2 ÷
"and a number x" 2 ÷ x
8 - 2/x
i think, i'm not 100% sure

Help I can’t find the area

Answers

We have
two rectangles 71cm x 23cm
two rectangles 71cm x 28cm
two rectangles 23cm x 28cm

The surface area of this figure:

[tex]A_S=2\cdot71\cdot23+2\cdot71\cdot28+2\cdot23\cdot28\\\\=3,266+3,976+1,288=8,530\ cm^2[/tex]

Answer: A. 8,530 cm².

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