Matthew is training to participate in a half marathon. Each week, Matthew increases the number of miles he runs in the previous week by the same percent. The table below shows the number of miles he runs in weeks 1 and 2.

Week Number of Miles Run
1 12.5
2 15.5

Complete the sentence. Do not round your answer.
Matthew runs ____ miles in week 3.

Answers

Answer 1

Answer:14.58 miles.

Step-by-step explanation:

Matthew is training to participate in a half marathon.

The distance covered by Matthew on the first day is 12.5 miles.

The distance covered by Matthew on the second day is 13.5 miles.

The distance increased on the second day is, 13.5-12.5=1 mile.

The percentage will be,

=\dfrac{1}{12.5}\times 100\%

=0.08\times 100\%

=8\%

Hence, each day he runs 8% more. So the distance covered by him on day 3 will be,

=13.5+\left(13.5\times \dfrac{8}{100}\right)

=13.5+1.08

=14.58 miles

Read more on Brainly.com - https://brainly.com/question/2968689#readmore

Step-by-step explanation:

Answer 2

Answer:

Basic consensus is that that other answer is wrong. The actual answer is 19.22

Step-by-step explanation:

To find the common ratio you just do this, last number = 15.5, and first number = 12.5.

15.5/12.5 equals 1.24.

^That's the common ratio.^

using A(n) = a * r ^ n - 1,

you get 12.5 * 1.24 ^ 3 - 1, or just 12.5 * 1.24 ^ 2

and solving that problem, you get 19.22.

Confirm this by doing the same thing earlier, 19.22/15.5 is 1.24. Which is the ratio found earlier. So it checks out.


Related Questions

Simplify. 3 – 7 • 5 + 2 • 4 ASAP

Answers

Answer:

-40

Step-by-step explanation:

Use PEMDAS

3 – 7 • 5 + 2 • 4

Multiply first:

3-35+8

3-43

-40

Hope this helps! Please mark brainliest :)

Answer:

Step-by-step explanation:

3-7 times 5 + 2

3-35+2

-32+2

-30

Lines DE and AB intersect at point C.
What is the value of x?
12
25
38
52​

Answers

Answer:

(B)25

Step-by-step explanation:

From the given diagram:

[tex]\angle ACE$ and \angle ECB[/tex] are on a straight line, and we know by the Linear Postulate that the sum of angles on a straight line is 180 degrees.

Therefore:

[tex]\angle ACE$ + \angle ECB=180^\circ$ (Linear Postulate)\\(2x+2)^\circ+(5x+3)^\circ=180^\circ\\$Collect like terms\\2x+5x+2+3=180\\7x+5=180\\$Subtract 5 from both sides\\7x+5-5=180-5\\7x=175\\$Divide both sides by 7\\7x\div 7=175\div 7\\x=25^\circ[/tex]

The correct option is B.

Answer:

b. 25 :)      is the answer your looking for edge2020                  

in a sample of people on the school board 2 out of 5 are in favor of New high school being built at 3500 people vote in the next local election approximately how many would vote against the new high school being built?

Answers

Answer:

2100 people

Step-by-step explanation

3500 divided by 5=700

700 x 3= 2100

A cylinder has a radius of 6 inches and height of 3 and 3/4 inches. A sphere has a radius of 6 inches. What is the difference between the volume, to the nearest tenth of a cubic inch of the cylinder and sphere

Answers

Answer:

Difference = 480.9 in³

Step-by-step explanation:

Given

Cylinder;

Height, h = 3¾ inches

Radius, r₁ = 6 inches

Sphere

Radius, r₂ = 6 inches

The volume of a cylinder is calculated as thus

Volume, V₁ = πr₁²h

The volume of a sphere is calculated as this

Volume, V₂ = 4/3 πr₂³

Calculating the volume of the cylinder

V₁ = πr₁²h becomes

V₁ = π * 6² * 3¾

V₁ = π * 36 * 3¾

V₁ = π * 36 * 15/4

V₁ = π * 540/4

V₁ = π * 135

V₁ = 135π in³

Calculating the volume of the sphere

V₂ = 4/3 πr₂³ becomes

V₂ = 4/3 * π * 6³

V₂ = 4/3 * π * 216

V₂ = 864/3 * π

V₂ = 288π in³

The difference between the volume is calculated as thus.

Difference = V₂ - V₁

Difference = 288π - 135π

Difference = 153π

Take π as 22/7

Difference = 153 * 22/7

Difference = 480.9 in³ (Approximated)

A deck of cards has all 12 face cards removed. If a card is drawn at random, what are the odds against drawing a card that is a prime number? Note: Prime means the only numbers divisible are 1 and itself.

3 to 2
2 to 5
3 to 5
2 to 3

Answers

Answer:

the answer is A 3 to 2

Step-by-step explanation:

but if it's wrong I'm sorry but if it's right I'm happy for you

The answer is 2 to 5

FAST PLEASE
quadrilateral PQRS is rotates 90 clockwise about the origin to form quadrilateral P’Q’R’S. what is the y-coordinate of point P

Answers

Answer:

(-2,-1)

Step-by-step explanation:

(-1,2) ---->> (-2,-1)

13 Points!
Use a net to find the surface area of the right triangular prism shown below
(Please show/tell an explanation on how you got your answer) :

104 square feet

412 square feet

468 square feet

504 square feet

Answers

Answer:

468 square feet; Option C

Step-by-step explanation:

We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:

Area ⇒ 15 * 10 = 150 ft^2

Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:

Area ⇒ 9 * 10 = 90 ft^2

This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2

Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2

This means the surface area of the right, triangular prism is:

150 + 90 + 120 + 108 = Answer: 468 square feet

Question 1
What is the exact distance from (-1, 4) to (6,-2)? (4 points)
180 units
182 units
85 units
189 units

Answers

Answer:

√85 units

Step-by-step explanation:

If we move from  (-1, 4) to (6,-2), we see x (the run) increasing by 7 and y (the rise) decreasing by 6.  

The distance between these two points is found using the Pythagorean Theorem:  

d =  √ [7² + 6²] = √85 units    (we cannot leave off the " √ " operator).  Compare this to the 3rd answer choice.

plz.solve this question
I will mark u as brainliest if u are right​

Answers

Answer:

option is C

Step-by-step explanation:

did u forget me?????

Which of the following shows the Numbers
arranged in increasing order

Answers

Answer:

D

Step-by-step explanation: Plato test

Answer:

C

Step-by-step explanation:

The negative numbers should be the beginning ones because those are less than the positive ones. This eliminates D because it starts with 2/3, which isn't negative. -√3 is between -2 and -1, so it is greater than -5. This means that it should come after -5 in the sequence. The only option we are left with now is C. Hope this helps!

Brian pays £475.29 a year on his car insurance. The insurance company reduces the price by 2.1%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.

Answers

Answer:

470.12??? not sure!!!!

Step-by-step explanation:

Decrease number 475.29 by 2.1% of its value: New value = 475.29 ... 475.29 = - 9.98109 Rounded to maximum 2 decimals: 475.29 decreased by 2.1% ≈ 465.31 ...

many graduate schools require applicants to take a certain test those taking the test received three scores a verbal reasoning score a quantitative reasoning score and an analytical writing score in 2013 the average quantitative reasoning score exceeded the average verbal reasoning score by 1.1 points and the average verbal reasoning score exceeded the analytical writing score by 143.2 points the sum of the three average scores was 315.1 what was the average score for each category

Answers

Answer:

The average verbal reasoning score: 152.4

The average quantitative reasoning score: 153.5

The analytical writing score: 9.2

Step-by-step explanation:

Let's call A the average verbal reasoning score, B the average quantitative reasoning score and C the analytical writing score.

Then, if the average quantitative reasoning score exceeded the average verbal reasoning score by 1.1 points, we can write the following equation:

B = A + 1.1     (eq. 1)

At the same way, if the average verbal reasoning score exceeded the analytical writing score by 143.2 points, we can write the following equation:

A = C + 143.2   or

C = A - 143.2          (eq. 2)

Finally, the sum of the three average scores was 315.1, so:

A + B + C = 315.1              (eq. 3)

Then, replacing equation 1 and 2 in equation 3:

A + B + C = 315.1

A + (A + 1.1) + (A - 143.1) = 315.1

Solving for A:

A + A + 1.1 + A - 143.2 = 315.1

3A = 315.1 - 1.1 + 143.2

3A = 457.2

A = 152.4

Replacing the value of A in equation 1 and 2:

B = A + 1.1 = 152.4 + 1.1 = 153.5

C = A - 143.2 = 152.4 - 143.2 = 9.2

So, the average score for each category is:

The average verbal reasoning score: 152.4

The average quantitative reasoning score: 153.5

The analytical writing score: 9.2

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

A) Each point in the data set falls on the regression line.

B) The regression model is an accurate representation of the distance for any number of hours hiked.

C) Each point in the data set is near the regression line.

D) The regression model is inaccurate, as it does not begin at (0, 0).

Answers

Answer:

d)

Step-by-step explanation:

it does not begin at 0,0

it is beginning at the 1

Each point in the data set is near the regression line.

Option C is the correct answer.

What is regression?

Regression is a statistical method used to analyze the relationship between two or more variables.

It helps to identify and quantify the relationship between the dependent variable (also called the response variable) and one or more independent variables (also called the explanatory variables or predictors).

We have,

Each point in the data set is near the regression line.

This is because the regression line is the line of best fit that minimizes the distance between the line and the actual data points.

While not all points will fall exactly on the line, the fact that they are all relatively close to the line indicates that the line is a good fit for the data.

Option A is not necessarily true for all data sets, and option B is an overgeneralization.

Option D is not necessarily a problem, as a regression line does not always have to pass through the origin.

Thus,

Each point in the data set is near the regression line.

Learn more about regressions here:

https://brainly.com/question/28178214

#SPJ5

find the exact value of cos(-pi/12)

Answers

Answer:

0.96592 or 0.97

Step-by-step explanation:

Answer:

0.96592582628

Step-by-step explanation:

Help plss my math thinking are going away and plss explain:A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a total of 280 pieces of fruit. There are twice as many raspberries as blueberries, three times as many grapes as cherries, and four times as many cherries as raspberries. How many cherries are there in the fruit salad?

Answers

Answer:

40

Step-by-step explanation:

Let's call blueberries, raspberries, grapes and cherries b, r, g, and c respectively. We can write:

b + r + g + c = 280 (1)

r = 2b (2)

g = 3c (3)

c = 4r (4)

We can plug (2) into (1) to get b + 2b + g + c = 280. Then, we can re-write (4) into r = c / 4 and plug that into (2) which gets us c / 4 = 2b, and when we re-write that we get c = 8b (5). Let's plug that into (1) to get b + 2b + g + 8b = 280. Next, we'll re-write (3) to get g / 3 = c, and we can plug that into (5) to get g / 3 = 8b so then g = 24b and plug that into (1) to get b + 2b + 24b + 8b = 280 → 35b = 280 → b = 8. We can plug this into (5) to get c = 8 * 5 = 40. Hope this helps!

El MCM de dos números es 200 y su MCD es 4. Si uno de ellos es 8, ¿cuál es el otro número?

Answers

Answer: The other number is 100.

Step-by-step explanation:

The least common multiple (LCM) of two numbers is 200

The greatest common denominator (GCD) is 4.

One of the numbers is 8, which is the other number?

Ok:

First, we can write 8 as: 2*2*2 = 2^3 = 2*4

Now, the minimal common denominator can be any number that is written in the form

x = 4*a*b..

where a, b etc are prime numbers.

We also know that

LCD(a,b) = a*b/GCD(a,b)

LCD(8,x) = 8*x/GCD(8, x)

200 = 8*x/4

x = 200*4/8 = 100

the other number is 100.

4) A boat covers 25km upstream and 44km downstream in 9 hours. Also it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of boat in still water.

Answers

Answer:

Speed of boat in still water=8km/hr

Speed of stream=3km/hr

Step-by-step explanation:

Speed of boat in still water=x km/hr

Speed of stream=y km/hr

Speed of upstream=x-y km/hr

Speed of downstream=x+y km/hr

Let 1/(x-y)=a and 1/(x+y)=b

Time to go 25km up and 44 down=9

25a+44b=9----->(1)

Time to go 15km up and 22km down=5

15a+22b=5------>(2)

(2) × 2=> 30a+44b=10------>(3)

(3)-(1)=>5a=1

a=1/5

1/(x-y)=1/5

x-y=5---->(4)

Putting a=1/5 in (1),

5+44b=9

44b=4

b=1/11

1/(x+y)=1/11

x+y=11---->(5)

(4)+(5)=>2x=16

x=8

y=3

Speed of boat in still water=8km/hr

Speed of stream=3km/hr

Which is the graph of a quadratic equation that has a negative discriminant?

Answers

Answer:

Here's what I get  

Step-by-step explanation:

The formula for a quadratic equation is

ax² + bx + c = 0

The quadratic formula gives the roots:

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]

D is the discriminant.

It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.

[tex]D = \begin{cases}\text{positive} & \quad \text{2 real solutions}\\\text{zero} & \quad \text{1 real solution}\\\text{negative} & \quad \text{0 real solutions}\\\end{cases}[/tex]

It doesn't matter if the graph opens upwards or downwards.

If D > 0, the graph crosses the x-axis at two points.

If D = 0, the graph touches the x-axis at one point.

If D < 0, the graph never reaches the x-axis.

Your graph must look like one of the two graphs on the right in the Figure below.

Answer:

GRAPH D

Step-by-step explanation:

ENG 2021(:

Find the volume of the right pyramid shown below.

Answers

Answer:

75 cm

Step-by-step explanation:

I used the formula and my calculator. Hope this helps! if you are still confused please comment!

Answer:

75cm³

Step-by-step explanation:

[tex]V= \frac{lwh}{3} = \frac{(5)(5)(9)} {3} =75[/tex]

pls help!! I really need it

Answers

Answer:

x> -5

Step-by-step explanation:

The is an open circle at -5 and a line going to the right  so it is greater than ( no equals because the circle is open)

x> -5

Answer:

A) x > -5

Step-by-step explanation:

X value is more than negative 5 because you have an open circle at -5 which means value is greater or less but not equal (in our case it is greater) and since the arrow is going towards right (which are the postive values and numbers greater than -5), the answer is A, x>-5

a athlete jumps 4 distances in a long jump challange. witch jump dose not round to 4.7 meters? 4.746?,4.680?,4.647?,4.733?.

Answers

Answer:

4.647

Step-by-step explanation:

Difference of squares: What is x^2-9=0?
please help me....​

Answers

Answer:

3 or -3

Step-by-step explanation:

You need to factor it to be able to find the solution.

x^2-9=0

(x+3)(x-3)=0  You now need to find 'each' zero, because if one parenthesis equals 0, then you are multiplying the rest of the equation by 0 which will equal 0.

x+3=0  Subtract three

x= -3    

x-3=0  Add three

x= 3

x^2-9 will equal 0 when x is either +3 or -3

Answer:

x=3  x=-3

Step-by-step explanation:

x^2-9=0

We know this is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(x-3)(x+3) =0

Using the zero product property

x-3 =0  x+3 =0

x=3  x=-3

What is the product?
(4x)(-3x0)(-7x)

Answers

Answer:

the product = 0

Step-by-step explanation:

(4x)*0*(-7x)

=-28x^2*0

=0

THerefore, the product = 0

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Step 1) Divide up the figure

In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.

Step 2) Find the area of each shape in the figure

Triangle: A = 1/2 x 6 x 9 = 27

Small rectangle: A = 3 x 18 = 54

Large rectangle (center): A = 8 x 14 = 112

Large rectangle (bottom): A = 5 x 9 = 45

Step 3) Add the area of each shape together

A = 27 + 54 + 112 + 45 = 238 square inches

Hope this helps! :)

Answer:

247 square inches

Step-by-step explanation:

Divided the diagram into a triangle and three rectangles.

The triangle is 6 in * 6 in = 36 square inches

1st rectangle is 4 in * 3 in = 12 square inches

2nd rectangle is 11 in * 14 in = 154 square inches

3rd rectangle is 9 in * 5 in = 45 square inches

Therefore, 36+12+154+45 = 247 square inches

You ride a bicycle at a speed of 18 miles per hour. I am 3 miles behind my friend. My friend rides a bicycle at a speed of 12 miles per hour. How long does it take to reach your friend?​

Answers

Answer:

i think 9 but 6 could also be right

Step-by-step explanation:

18-12=6------18-3=15-------15-3=12-----------12-3=9

Help! 7th grade math/ angles.

Answers

Answer:

A) 129° B)66°

Step-by-step explanation:

A) A is 129° because the angle is alternate to it.

B) B is 66° because it the angle you would be trying to find would be alternate to that angle, however we do not yet have the angle. To find this angle, we will need to do 180-114 as angles on straight lines add up to 180°. 180-144 is subsequently 66°.

I can't figure this question out can I please have help with this question please​

Answers

25 degrees should be the answer , not 100% sure though
The image would need 60 degrees for it to look the same.

Will mark as brainliest if correct

Answers

5= 7 ^x
X=ln5/ln7
X=0.827

What is the slope of (13,0) and (3,-2)

Answers

Answer:

y^2-y^1/x^2-x^1

Step-by-step explanation:

it takes 52 minutes for 5 people to paint 5 walks. how many minutes does it take 20 people to paint 20 walks

Answers

Answer:

52min

Step-by-step explanation:

5 people..............5 walls............52 min

1 people...............5 walls...........52 x 5=260 min

1 people................20 walls.........260 x 4 =1040 min

20 people................20 walls........1040:20=52 min

Answer:

116

Step-by-step explanation:

maybe don't try this i could be wrong.

Other Questions
Which of the following is an advantage of wordprocessing productivity programs? (check allthat apply)create versions of documentssave and modify documents indefinitelycreate a variety of layouts using text andgraphicscheck a document for spelling and grammaraccuracy ____________ is even more difficult to analyze because of the lack of cues in computer mediated communication. Which shows how to determine the volume of the pyramid? A square pyramid with a base of 3 meters by 3 meters and a height of 5 meters. V = one-third (3) (3) (5) V = one-half (3) (5) V = one-half (3) (3) (5) V = one-third (3) (5) It is best to say that electric motors require _______ to work. a. a continuous current b. a galvonometer c. a generator d. energy What percentage of 50 is 10 Betty is now three times as old as Mickey, but in five years she will be only twice as old as Mickey. What are the respective ages of Mickey and Betty now?(Please show all your work and steps such as: key statement, so statement solution and steps thank you!) If cde is a straight angle, de bisects gdh, m gde = (8x-1), m edh = (6x-15), and m cdf= 43, find each measure. Gerry ran 3/8 of a mile on Monday. He ran 5/8 of a mile on tuesday he ran 1/2 mile on Wednesday how many miles in all did Gerry run The industrialization of a country involves an economic switch away from alan find the area of the entire surface of the prism. 5 4 3 What caused Myers to feel "morealive" after he began to writeagain?Please help!!1.Unsatisfying, Professional, Voluntary2.Unusual, Painful, Frustrating3. Aware, Healthy, Fulfilled What effect does the ellipsis have on asentence?A. It draws attention to something in a sentence.B. It increases the intensity and tone of a sentence.C. It has no effect on the sentence at all. How many whole numbers are less than n+1 Sage Company is operating at 90% of capacity and is currently purchasing a part used in its manufacturing operations for $14.00 per unit. The unit cost for the business to make the part is $20.00, including fixed costs, and $12.00, not including fixed costs. If 38,493 units of the part are normally purchased during the year but could be manufactured using unused capacity, the amount of differential cost increase or decrease from making the part rather than purchasing it would be a The new Elk Grove radio station KFIN, features the top 60 songs for that week. The #1 song is played 60 times, the #2 song is played 59 times, the #3 song is played 58 times, and so on until the #60 song is played once. Each song takes 3 minutes to play.The station also has 24 ten-minute news breaks each day, and the rest of the time is sold for advertising. If the station charges $100 for every 30 seconds of advertising, how much money do they take in each week? A telephone pole stands 20 feet tall. A wire extending from the top of the pole to the ground is 25 feet long. What is the distance from the bottom of the pole and the spot where the wire is attached to the ground? A group of people seeking out the traditions and practices of their new home and abandoning their own traditionsand practices can be defined asA. acculturationB. appropriationC. assimilationD. diffusionPlease select the best answer from the choices provided Earth's moon____is an artificial satelliteorbits around the suncauses ocean tidesis the largest satellite in the solar system The mean of a normally distributed dataset is 12, and the standard deviation is 2. Please help!.im trying to get my missing work done quickly.