Who ran farther by the end of the week how much farther use the table below that shows the distances in miles

Who Ran Farther By The End Of The Week How Much Farther Use The Table Below That Shows The Distances

Answers

Answer 1

Answer:

Yu ran farther by the end of the week.

Step-by-step explanation:

Fraction addition

[tex]\sf \text{Total distance ran by Holy= $1\dfrac{1}{2}+\dfrac{1}{2}+2\dfrac{1}{4}+\dfrac{3}{4}+1\dfrac{1}{2}$}[/tex]

                   Convert mixed fractions to improper fractions

                                        [tex]\sf =\dfrac{3}{2}+\dfrac{1}{2}+\dfrac{9}{4}+\dfrac{3}{4}+\dfrac{3}{2}\\\\ = \dfrac{3}{2}+\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\=\dfrac{7}{2}+\dfrac{12}{4}\\\\=\dfrac{7*2}{2*2}+\dfrac{12}{4}\\\\=\dfrac{14}{4}+\dfrac{12}{4}\\\\=\dfrac{14+12}{4}\\\\=\dfrac{26}{4}\\\\=\dfrac{13}{2}\\\\=6\dfrac{1}{2} \ miles[/tex]

[tex]\sf \text{Distance travelled by Yu=1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}}[/tex][tex]\sf \text{Distance traveled by Yu= $1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}$}[/tex]

                                      [tex]\sf = \dfrac{7}{4}+\dfrac{3}{2}+\dfrac{11}{4}+\dfrac{5}{4}+\dfrac{1}{2}\\\\ =\dfrac{(7+11+5)}{4}+\dfrac{3+1}{2}\\\\= \dfrac{23}{4}+\dfrac{4}{2}\\\\=\dfrac{23}{4}+\dfrac{4*2}{2*2}\\\\=\dfrac{23}{4}+\dfrac{8}{4}\\\\=\dfrac{31}{4}\\\\=7\dfrac{3}{4} \ miles[/tex]

Yu ran farther by the end of the week.

                     


Related Questions

Find the area.
5cm
3cm
4 cm

Answers

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

[tex]\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}[/tex]

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

Replacing a, b, and c as the given side lengths:

[tex]\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}[/tex]

Determining the perimeter of the triangle:

[tex]\text{Perimeter of triangle = Sum of it's side lengths}[/tex]

[tex]\implies \text{Perimeter of triangle =}\ 5 + 4 + 3[/tex]

[tex]\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}[/tex]

Determining the half of perimeter:

[tex]\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}[/tex]

[tex]\implies s = \dfrac{12}{2}[/tex]

[tex]\implies s = 6[/tex]

Replacing the value of "s" in the formula:

[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]

Evaluating the area:

[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]

[tex]\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}[/tex]

[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6)}[/tex]

[tex]\implies \text{Area of triangle} = 6 \ \text{cm}^{2}[/tex]

The number of bacteria on a microscope slide doubles every hour . There are initially 4 bacteria present . Create an explicit function fto model the growth after n hours .

Answers

Answer:

I think a possible equation can be; f(n) = 4(2)ⁿ

f(n) = a * bˣ

Where;

f(n) = the function of f for every n value

a = Initial value (in this case it would be 4)

b = Rate of change (in this case it would be 2, since the bacteria doubles)

x = exponent (in this case it would be n)

So our final equation would be:

f(n) = 4(2)ⁿ

Hope this helps!

The product of two consecutive integers is 272. which quadratic equation can be used to find x, the smaller number? x2 1 = 272 x2 − 1 = 272 x2 x − 272 = 0 x2 x 272 = 0

Answers

An equation is formed of two equal expressions. The quadratic equation that can be used to find x, the smaller number is x²+x-272.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the first number be x.

Now since the two numbers are consecutive numbers the other number will be (x+1). Also, it is mentioned in the problem that the product of the two numbers is 272. Therefore, the equation that can represent the product will be,

[tex]x \times (x+1) = 272\\\\x^2 + x =272\\\\x^2 + x -272 = 0[/tex]

Thus, the quadratic equation that can be used to find x, the smaller number is x²+x-272.

Learn more about Equation:

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Answer:

c. x2 + x − 272 = 0

Step-by-step explanation:

Which products result in a difference of squares or a perfect square trinomial? check all that apply. (5x 3)(5x – 3) (7x 4)(7x 4) (2x 1)(x 2) (4x – 6)(x 8) (x – 9)(x – 9) (–3x – 6)(–3x 6)

Answers

(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The following are the answers

(5x + 3)(5x – 3) Difference of squares

(7x + 4)(7x + 4) is a Perfect square trinomial

(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.

(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.

(x – 9)(x – 9) is Perfect square trinomial

(–3x – 6)(–3x + 6) = [tex](-3x)^2- ( -6)^2[/tex]  Difference of squares.

Learn more about perfect square:

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Answer:

A. B, E, F

Step-by-step explanation:

How would I solve this and what’s the answer ?

Answers

To solve this you just move the letters and numbers around until you get a different equation that is the same as the original equation.

You can also rule out the last two answers because they don’t have all the values.

P = pie

s=2prh can be written as s/2ph=r if we divide s by 2ph because we need to isolate r because all the answers have r isolated.

So the answer would be b s/2ph=r

Sorry that’s really badly worded and confusing, but I hope it helps.

An airplane covers 900 miles in first 30 minutes and 3040 miles in next 2 hours. What is the speed of the airplane in the first 30 minutes

Answers

Answer:

hi how do you do I actually don't know sorry very much

HELPPPPPPPPPP!!! pls show work

Answers

Answer:

Step-by-step explanation:

67 becaue you divide all the numbers together then add then multiply then subtract divide that number and you get 67

Which equation can be used to represent the statement? Half of a number minus Severn is one and five tenths.

Answers

1/2x-7=1 5/10
Or 1 1/2

solve for the missing side. round to the nearest 10th.

Answers

Answer :

6.7 mm

[tex] \: [/tex]

Explanation :

This is Right Angled Trian1gle.

[tex] \: [/tex]

Solution :

We'll solve this using the Pythagorean Theorem.

[tex] \: [/tex]

Where,

VW (9 mm) is the Hypotenuse.

UV (6 mm) is the Base.

UW is the Perpendicular .

[tex] \: [/tex]

We know that,

[tex]{\longrightarrow \pmb{\mathbb {\qquad (UV) {}^{2} + (UW) {}^{2} =( VW) {}^{2} }}} \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \pmb{\sf {\qquad (6) {}^{2} + (UW) {}^{2} =( 9) {}^{2} }}} \\ \\ [/tex]

We know that, (6)² = 36 and (9)² = 81. So,

[tex]{\longrightarrow \pmb{\sf {\qquad 36 + (UW) {}^{2} =81}}} \\ \\ [/tex]

Now, transposing 36 to the other side we get :

[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} =81 - 36 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} = 45}}} \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from UW :

[tex]{\longrightarrow \pmb{\sf {\qquad \sqrt{(UW) {}^{2}} = \sqrt{ 45}}}} \\ \\ [/tex]

When we take the square root of (UW)² , it becomes UW,

[tex]{\longrightarrow \pmb{\sf {\qquad UW = \sqrt{45}}}} \\ \\ [/tex]

We know that, square root of 45 is 6.708.

[tex]{\longrightarrow \pmb{\sf {\qquad UW \approx6.708}}} \\ \\ [/tex]

So,

The measure of the missing side (UW) is 6.7 mm (Rounded to nearest tenth)

help me answer this pls

Answers

p = -4 and q = -6

hope it helps...!!!

A bag Contains five blue marbles two green marbles and three yellow marbles what is the probability of Choosing one Green marble and a yellow marble with replacement what does this mean

Answers

Answer:

3/50.

Step-by-step explanation:

There are 10 marbles in the bag.

Probability( a green marble) =  2/10 = 1/5.

Now we replace the green marble in the bag so it contains 10 marbles again.

Probabilty(a yellow marble) = 3/10.

So Probability(Choosing a green then a red with repeacemen)

= 1/5 * 3/10

= 3/50.

what is the third significant figure of 0.134​

Answers

Answer:

3

Step-by-step explanation:

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

Answer:

C: 8/15

A: 4/25

Step-by-step explanation:

put it into a fraction, four times out of 25 = 4/25, for the first question you would have to simplify it to 8/15.

Find the 4th term in the sequence
with the following definition:

a1 = 0
a2 = -6
an = 2(an-1-3)

Answers

The sequence an = 2(an-1 - 3) is a recursive sequence

The 4th term of the sequence is -42

How to determine the 4th term?

The given parameters are:

a1 = 0

a2 = -6

an = 2(an-1 - 3)

Start by calculating a3 using:

a3 = 2(a2 - 3)

This gives

a3 = 2 * (-6 - 3)

a3 = -18

Calculate a4 using:

a4 = 2(a3 - 3)

This gives

a4 = 2 * (-18 - 3)

a4 = -42

Hence, the 4th term of the sequence is -42

Read more about sequence at:

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What is the area of the figure?

A figure can be broken into 2 rectangles. One rectangle has a base of 6.2 inches and height of 8 inches. The other rectangle has a base of 10.2 inches and height of 3 inches.
42.4 square inches
80.2 square inches
92.8 square inches
101.6 square inches

Answers

Answer:

80.2

Step-by-step explanation:

Answer:80.2

Step-by-step explanation:

i did the test so yeh edg 2023

answer this attachment for 21 points and brainliest

Answers

Answer:

60

Step-by-step explanation:

Just by using process of elimination, we can delete all but 1 answer. 95% is greater than 50% and half of the first second and fourth answers are all greater than 57

60 questions… dont even need math. The other answers are too high…

What is the meaning of the sum?

Answers

Answer:

the sum is the total amount resulting from the addition of two or more numbers, amounts, or items.

Miss Chang ordered a pizza to share with some Grade 8 students. Miss Chang

gave Michael some slices of pizza. Miss Chang gave Amy twice as many slices of

pizza as Michael. Miss Chang gave Mr. Au three times the sum of what she gave

to Michael and Amy. Miss Chang gave 60 slices of pizza to Michael, Amy and Mr.

Au in total. How many slices of pizza Miss Chang give to each person?

Answers

Michael: x
Amy: 2x
Mr. Au: 3(2x+x)
x+2x+3(2x+x)=60
x+2x+3(3x)=60
x+2x+9x=60
12x=60
x=5
Michael: 5 slices
Amy: 2(x)
2(5)=10 slices
Mr. Au: 3(2x+x)
3(10+5)=45 slices

Which answer is wrong and what is the correct answer? I will give you BRAINLEST!

Answers

Answer:

Question B is (12,-7)

Step-by-step explanation:

The 2nd question is asking for the preimage. You did what the image would be if (4,-3) was the preimage.

PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!!!!!!!!

Answers

Answer:

y intercept: 4, x-intercept: None

Step-by-step explanation:

Took the test and got it right


The function
f
(
t
)
=
310
(
1.025
)
7
t
f(t)=310(1.025)
7t
represents the change in a quantity over t weeks. What does the constant 1.025 reveal about the rate of change of the quantity

Answers

Answer: The function is growing exponentially at a rate of 2.5% every day.

Step-by-step explanation:

What is the measure in degrees of an angle that is equivalent to 1/360 of a circle.

Answers

Answer:

1 degree

Step-by-step explanation:

360 degrees / 360  = 1

What is the value of x in the given triangle, in inches?

Answers

Hence, the value of sin 90° is 1.
So, the correct option is (D).

A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. Which expression best represents the value of π?

Answers

A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. The required expression for value of π is: 3.14

What is diameter of circle?

A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point.

Given that,

The circumference of the circle was about 50.24 feet,

And the diameter of the circle was 16 feet

We have to determine,

Which expression best represents the value of π.

According to the question,

Circumference of the circle = 50.24 feet

Diameter f the circle = 16 feet

Then,

Circumference of the circle = π × d

Circumference of the circle = 50.24 feet

Therefore,

50.24 = π × d

or. π × 16 = 50.24

or,  π = 3.14

Hence, The required expression for value of π is: 3.14

For the more information about the circle refer to:

https://brainly.com/question/11833983

#SPJ1

. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and
then another marble is drawn. What is the probability that a blue marble was drawn followed by a
yellow marble?

Answers

Answer:

64%

Step-by-step explanation:

Williana’s mother wants to buy a glass tabletop for their dining room table. The tabletop is shaped like a hexagon with sides measuring 27. 75 inches. If the glass costs $0. 06 per square inch, how much will she spend on the glass table top?








$

Answers

The total amount that Williana's mother would spend to buy the glass table top is $120.04.

What is the total cost of the glass table top?

The first step is to determine the area of the glass table top.

Area of a hexagon = [(3√3)/2] x a²

a = side length

2.598 x 27.75² = 2000.68 in²

Cost of the table top = 2000.68 in² x 0.06 = $120.04

To learn more about hexagonal prisms, please check: https://brainly.com/question/27242498

What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?

X Y
1 -4
2 1
A. y = 5x - 9
B. y = -5x + 9
C. y = -9x + 5
D. y = 9x - 5

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

A    Y= 5x-9

Step-by-step explanation:

i have no clue how to do this i need help

Answers

Answer:

x^32

Step-by-step explanation: because its (x^4)^8 you mutiply 4 by 8 so you get 32 and 32 is the new power so it is now x^32.

HELP! WILL GIVE BRAINLEST!

Answers

Answer:

last option

Step-by-step explanation:

7pi/6,11pi/6

Answer:

D

Step-by-step explanation:

the answer is D

this is essentially sin theta = -1/2 which I already solved for you a few mins ago :)

i need help asap worth 100pts

Answers

Answer:

Part (a)

It depends how your calculator calculates quadratic regressions.

For my calculator:

Go to Statistics menuSelect quadratic regression: y=a+bx+cx²Input the x and y values from the given tableGo to options and select regression calc

a = 1.177142857 = 1.18 (nearest hundredth)

b = 42.22257143 = 42.22 (nearest hundredth)

c = -12.87142857 = -12.87 (nearest hundredth)

⇒ y = 1.18 + 42.22x - 12.87x²

Therefore, the quadratic regression equation in standard form is:

[tex]y = -12.87x^2+ 42.22x + 1.18[/tex]

Part (b)

To estimate the height of the rocket after 5 seconds, input x = 5 into the regression equation:

[tex]\implies -12.87(5)^2+ 42.22(5) + 1.18=-109.47[/tex]

As this gives us a negative value, this means that the rocket would have come back to the ground before 5 s.  Therefore, the height of the rocket at 5 s will be 0 ft.

(see attached graph → the rocket will hit the ground at approx 3.3 s)

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