Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.

Answers

Answer 1
Convert both mixed numbers to improper fractions since they do not have a similar denominator.

2 7/10 becomes 27/10
1 1/4 becomes 5/4

Now you need to find the least common denominator that 10 and 4 go into which is 20.

Multiply the top and bottom by the number it takes to make the denominator in each fraction 20

27/10 becomes 54/20 because you multiply the 10 and 27 by 2.

5/4 becomes 25/20 because you multiply the 4 and 5 by 5.

Now you can subtract the two fractions:

54/20 - 25/20 = 29/20

29/20 can be reduced to 1 9/10 which is how much farther he must go.

Related Questions

please help me.......​

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Let's use CAH  1st  , on the Lenovo building,  b/c we  have they Hypotenuse (Hyp)  and an angle and we want to know the other side of the Lenovo building

Cos(30) = x/294

294*Cos(30) = x

254.611 = x

Sin(30) = y / 294

294*Sin(30) = y

147 = y

perimeter = 147+254.611+294

perimeter Lenovo = 695.611 feet

For Asus building

hyp = sqrt [ ( 144.5*[tex]\sqrt{2}[/tex])^2 +  144.5*[tex]\sqrt{2}[/tex])^2 )]

hyp = 289

perimeter = 289+144.5*[tex]\sqrt{2}[/tex]+144.5*[tex]\sqrt{2}[/tex]

perimeter Asus = 697.7077

The difference of the two buildings is

697.7077 -  695.611 =2.09671 feet

the difference is 2.10 feet ( rounded to nearest 100th)

Challenge:
Put these in order (least to greatest)

Answers

Answer:

1 1/4, -1, -1/4, 0, 1/4, 1

Step-by-step explanation:

Answer:

-1 1/4, -1, -1/4, 0, 1/4, 1,

Step-by-step explanation:

Pls help i'll give brainlest

Answers

Answer: B. 183 cm^3

V = pi r^2 h/3

V = pi (5^2) (7/3)

V = pi (25) (2.33)

V = 183

Answer:

B.183 [tex]cm^{3}[/tex]

Step-by-step explanation:

Volume of cone is [tex]V=\pi r^{2} \frac{h}{3}[/tex]

where h=7 and r=5 (because r=d/2, where d=10)

V=[tex]5^{2}\frac{7}{3}\pi[/tex]

V=25·[tex]\frac{7}{3} \pi[/tex]

V=175/3[tex]\pi[/tex]

V=183.2595715 or 183 [tex]cm^{3}[/tex]

A
B
Which of the following is least accurately represented by the Venn diagram above?
A. Members of A are real numbers less than 16, and members of B are real numbers divisible
by 2.
B. Members of A are even numbers, and members of Bare odd numbers.
C. Member of A are even numbers, and members of B are multiples of 7.
D. Member of A are real numbers less than 16, ad members of Bare positive numbers.
Mark this and return
Save and Exit
Next​

Answers

Answer:

my opinion is A hope it helps

Answer: B- Members of A are even numbers, and members of B are odd numbers.

Step-by-step explanation:

Find the length of the segment below round to nearest tenth

Answers

The answer would be the square root of 41 or6.40

1)
Volume=
Help hhvddhhdbdbdhdjdjddbbdbdbdbdbdbdbdbdbdbdbdbdbdbdb please

Answers

Answer:

there have to be a number

Step-by-step explanation:

What is the inverse of x/4 ?
ill give brainlist thingy lol

Answers

Step-by-step explanation:

If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,

f(f-1(x)) = x

So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then

f(K) = x

K/4 = x

K = 4x

But I want to recover f-1(x), so replace it back.

f-1(x) = 4x

Done

An agricultural scientist collected data to study the relationship between the amount of nitrogen added to a cornfield and the number of
bushels of corn produced. This is the regression line of the data, where y is measured in bushels of corn and x is measured in pounds of
nitrogen.
y = 0.43x + 28.5
What is the meaning of the slope of the regression line?
O A. For every 0.43 pounds of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OB. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.
-
OC. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OD. For every 28.5 pounds of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.

Answers

Answer:

D.

Step-by-step explanation:

just done the assignment

Linear regression line is a algebraic model to show the relationship between the two models by putting the value of the one variable to get the value of other.. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels. Therefore the option B is the correct option.

Given information-

The equation of the experiment to know the relationship between the amount of nitrogen added to a cornfield and the number of bushels of corn produced is,

[tex]y=0.43x+28.5[/tex]

Linear regression line

Linear regression line is a algebraic model to show the relationship between the two models by putting the value of the one variable to get the value of other.

Linear regression line can be represent as,

[tex]y=Ax+B[/tex]

Here x is the explanatory variable and y is the dependent variable. A is the slope of the line and B is the intercept.

In the given equation there are two variable given.

Variable x represent the amount of nitrogen added, and the variable y, represents the number of bushels of corn produced.

As putting the value of x the y increases with value of number 0.43. Thus as we are increasing the value of the nitrogen with unit 1 the number of bushels of corn produced is increased by unit 0.43.

Hence for every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels. Therefore the option B is the correct option.

Learn more about the linear regression here;

https://brainly.com/question/25311696

Which of the following equations is equivalent to S= xi?n?
On-S-xr2
S
Golf
S
On-$+$12

Answers

Answer:

umm to me its 2--%456

Step-by-step explanation:

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 116.8. If the organization's claim is correct, what is the probability of having a sample mean of 116.8 or less for a random sample of this size

Answers

Answer:

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

Sample of 35:

This means that [tex]n = 35, s = \frac{17}{\sqrt{35}}[/tex]

What is the probability of having a sample mean of 116.8 or less for a random sample of this size?

This is the pvalue of Z when X = 116.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{116.8 - 118}{\frac{17}{\sqrt{35}}}[/tex]

[tex]Z = -0.42[/tex]

[tex]Z = -0.42[/tex] has a pvalue of 0.3372

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.
1. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and write that number at the end of the path (4 answers).
2. Find the probability that the second ball is yellow.

Answers

Answer:

See Annex ( Tree diagram )

Step-by-step explanation:

1) Attached

2) Probability of the second ball is yellow is

P(2nd ball is yellow ) = Probability 2nd ball s yellow (if the first one was black) + Probability 2nd ball s yellow (if the first one was Yellow)

P(2nd ball is yellow ) = 0,204 + 0,045

P(2nd ball is yellow ) = 0,249

A bicycle is originally priced at $60. The online retailer gives a discount and the bicycle is now priced at $42. Enter the percentage discount for the cost of the bicycle.

Answers

Answer:

30% ywww

Step-by-step explanation:

Select the correct answer.
In a sequence described by a function, what does the notation f(3) = 1 mean?
OA.
The third term in the sequence has a value of 1.
OB.
The common difference I of the sequence is 3.
O C.
The first term in the sequence has a value of 3.
OD
The common ratio of the sequence is 3.

Answers

Answer:

c is correct

Step-by-step explanation:

Answer:

c is right answer

Step-by-step explanation:

HOPE IT HELPS U

FOLLOW MY ACCOUNT PLS PLS

if the area of square A is 225 ft2 and the area of square B is 400 ft2 what is the area of square c?

Answers

Answer: 575 ft2??

Explanation: If there is a pattern of 175 being added to each square, 225 + 175 = 400 = Square B, than 400 + 175 = 575 = Square C.

I might be incorrect, but this is my best guess! ♡

Write 53 minutes to 4 hours as a ratio.

Answers

Answer:

The minutes wouldn't it be hours?

Step-by-step explanation:

Answer:

53:240

Step-by-step explanation:

Turn the hours into minutes since the minutes can't change to hours.

can you come up with a rule for what happens to the signs when you reflect a point across both axes?

Answers

Required Answer :-

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Hope it helps!!

Answer:

(a,b) ⇒ (-a,-b)

Step-by-step explanation:

When you reflect over the x-axis, the y-value changes sign.

When you reflect over the y-axis, the x-value changes sign.

So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)

(I've also attached a table that's handy for other reflections if you're curious)

Use the picture below and determine which of the lines or line segments 20 points
is/are a diameter
mA
VE
Line m
Line Segment BC
Ο Ο Ο Ο Ο
Line Sesnent AB or AC
Line Segment DE
Line 1

Answers

Line segment AB or AC

The standard gasoline engine for the 2017 Toyota Corolla includes the following data: Configuration: In-line four-stroke, four-cylinder engine Bore: 3.17 in Stroke: 3.48 in Compression ratio: 10.6:1 Assuming an ideal Otto cycle to describe this engine. Consider the working fluid to be air, modeled as an ideal gas with variable specific heat. Determine: (a) The total engine volume VBDC for all cylinders (cu.in). (b) The mass of air (lbm) contained in the engine assuming ambient conditions of 540 R and 14.7 psia. (c) The efficiency of the engine (%). The maximum temperature that occurs during the cycle is 3600 R.

Answers

Answer:

a) The total engine volume is 30.3265 in³

b) the mass of air contained in the engine is 0.00129 lbm

c) The efficiency of the engine is 55.6%

Step-by-step explanation:

Given the data in the question;

The configuration is in line with four-stroke, four-cylinder engine.

Bore ( d ) = 3.17 in

Stroke ( L ) = 3.48 in

compression ratio ( r ) = 10.6 : 1

First, we calculate the swept Volume V₁ = π/4 × d²L

we substitute

V₁ = π/4 × (3.17 )² × (3.48) = 27.4655 in³

Now, Compression Ration; r = Vs + Vc / Vc

r = (V₁ + V₂) / V₂

we substitute

10.6 = (27.4655 + V₂) / V₂

10.6V₂ = 27.4655 + V₂

10.6V₂ - V₂ = 27.4655

9.6V₂ = 27.4655

V₂ = 2.861 in³

So

a) total engine volume

[tex]V_{BDC[/tex] = V₁ + V₂

we substitute

[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³

[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³

[tex]V_{BDC[/tex] = 30.3265 in³

Therefore, The total engine volume is 30.3265 in³

b) The mass of air

given that; T = 540°R, P = 14.7 psia

we know that; PV = mRT   { R is constant }

we solve for m

m = PV / RT

we substitute

m = (14.7 × 30.3265)  / ( 0.3704 × 1728 )540

m = 445.79955 / 345627.648

m = 0.00129 lbm

Therefore, the mass of air contained in the engine is 0.00129 lbm

c) The efficiency

from table { properties of air}

At 540°R; u₁ = 92.04 BTu/lbm, u[tex]_r[/tex]₁ = 144.32

Now process 1 - 2 ( Isentropic )   u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂  = V₁/V₁ = r

so,  u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = r

144.32  / u[tex]_r[/tex]₂ = 10.6

u[tex]_r[/tex]₂ = 144.32/10.6

u[tex]_r[/tex]₂ = 13.61

Thus, at u[tex]_r[/tex]₂ = 13.61, u₂ = 235 BTU/lbm, T₂ = 1340°R

Now, we know that;

P₁V₁/T₁ = P₂V₂/T₂  ⇒ (P₁/V₁)r = P₂/T₂

⇒ ( 14.7 / 540 )10.6 = P₂/1340

P₂ = 386.664 psia  

process 2 - 3; constant volume heat addition;

Now, At T₃ = 3600°R, u₃ = 721.44 BTU/lbm, u[tex]_r[/tex]₃ = 0.6449

so, [tex]q_{in[/tex] =  u₃ -  u₂

we substitute

so, [tex]q_{in[/tex] =  721.44  -  235  = 486.44 BTU/lbm

Next, process 3 - 4; Isentropic  

u[tex]_r[/tex]₄/u[tex]_r[/tex]₃ = V₄/V₃ = r

u[tex]_r[/tex]₄ / 0.6449  = 10.6

u[tex]_r[/tex]₄ = 6.8359

At u[tex]_r[/tex]₄ = 6.8359; u₄ = 308 BTU/lbm

Heat Rejection [tex]q_{out[/tex] = u₄ - u₁ = 308 - 92.04 = 215.96 BTU/lbm

so, [tex]W_{net[/tex] = [tex]q_{in[/tex] - [tex]q_{out[/tex]

[tex]W_{net[/tex] = 486.44 - 215.96

[tex]W_{net[/tex] = 270.48 BTU/lbm

so the efficiency; η[tex]_{thermal[/tex] = ([tex]W_{net[/tex] / [tex]q_{in[/tex] ) × 100%

η[tex]_{thermal[/tex] = ( 270.48 / 486.44  ) × 100%

η[tex]_{thermal[/tex] = ( 0.55604  ) × 100%    

η[tex]_{thermal[/tex] = 55.6%

Therefore, The efficiency of the engine is 55.6%

The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.

Answers

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

Can someone tell me which one of the following options from my photo is correct?

Answers

Answer:

C and E

Step-by-step explanation:

Expressions does not contain any equal or less than greater than sign

So C and E are the right answers

Please Help! (picture)

Answers

Step-by-step explanation:

f(g(x))

f(x-1)

(x-1)^2

x^2 -2x + 1

Which fraction is the product of 5/4 x 6?

Answers

Answer:

15 x /2

Step-by-step explanation:

Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that have the following solution sets: One solution: x=15. PLEASE ANSWER FAST

Answers

Answer:

|x-8| = 7

Step-by-step explanation:

The following equation would make x=15 when solved.

|x-8| = 7

This is because if we substitute 15 for x we would have to subtract 8 from 15 which would give us 7 and the absolute value of 7 is 7 which would ultimately make the equation true.

HELP!
Which expression is equivalent to -6(-2/3+2x) ?

Answers

Answer:

-6(-2/3+2x)

=12/3+12x

=4+12x

4(1+3x)

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

half of 11:

5.5^2 x 3.14

30.25 x 3.14 = 94.985

round

94.99

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

Answers

Answer:

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

what is the formula of finding square rood

Answers

Answer:

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

There's no specific formula to find the square root of a number, however we can find the square root of a number by the following methods:

i) By Prime Factorisation

ii) By Long Division

iii) By Repeated subtraction method

✏ By Prime Factorisation:

Step I: Obtain the given number.

Step II: Reduce the given number into prime factors by successive division.

Step III: Now make pairs of prime factors in such a way that both the factors in each pair are equal.

Step IV: Take one factor from each pair and find the product of these factors.

Step V: The product obtained by multiplying the factors is the required square root.

✏ Long Division:

Step 1: Firstly, we place a bar on every pair of digits starting from the unit digit. If the number of digits in it is odd, we put a bar on the single-digit too.

Step 2: Now we find the largest number whose square is less than or equal to the 1st number.

Step 3: Now we bring down the next bar number.

Step 4: For new divisor, we add the divisor & quotient.

Step 5: Number taken is the product of a new divisor and this digit is equal to or less than the new dividend.

✏ Repeated subtraction method:

In this method, the given number is subtracted by 1, 3, 5, 7,… at every step till you get zero at the end. The number of steps in the solution is the required square root.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

GEOMETRY
please Help

Answers

Answer:

A right circular cone

Step-by-step explanation:

4^?=1024? i know the answer is 5 but is there an easier way to find that out instead of guessing?

Answers

Answer:

here you go............

Step-by-step explanation:

I hope it helped

What is the exact area of a circle with a circumference of 28?

Answers

Answer:

a= 62.39

Step-by-step explanation:

Other Questions
Computing Straight-Line and Double-Declining-Balance Depreciation On January 2, 2016, Dechow Company purchases a machine to help manufacture a part for one of its key products. The machine cost $306,180 and is estimated to have a useful life of six years, with an expected salvage value of $32,760. Compute each year's depreciation expense for 2016 and 2017 for each of the following depreciation methods.a. Straight-line.b. Double-declining balance. Poem: MOMENTUMby Catherine DotyHow does the subjects relationship with their friends help develop the poems theme A farmer wants to build a pond for her cows. What step must she take in order to build the pond?A. Dig into the zone of aeration.B. Place a permeable material on the ground.C. Keep the soil moist.D. Place an impermeable material on the ground. Yo __________________ una revista. (leer)a. estoy leob. estoy leyendoc. ests leeindod. ests leyendo The author concludes the "Youth and Tobacco Use" article with a section entitled "Reducing Youth Tobacco Use." What does the inclusion of this section tell you about the author's intended purpose for writing? the author does not see youth tobacco or not see youth tobacco use as a major issue based on the researchthe author is mainly concerned with showing data related to youth tobacco use and is mostly neutral about the topicthe author sees youth tobacco use as a significant problem and wants to provide the audience with possible solutionsthe author is concerned about happens to adults who begin smoking as youth A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg.(a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.(b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy. Davids watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch. What part of the expression represents the amount of tax David has to pay? Explain. Which statement is true?Question 19 options:A) |3| = 3 and |4| = 4B) |3| = 3 and |4| = 4C) |3| = 3 and |4| = 4D) |3| = 3 and |4| = 4 Which of the following particles has no charge?A. IonB. ProtonC. NeutronD. Electron 11. A regular polygon has an interior angle sum of 1260. Solve for n, the number of sides of the polygon. Alexander Dubcek promised which of the following: A) Capitalist reforms B) Complete cooperation with the Soviet Union C) A different type of communism D) No new taxes Dos tomos neutros A y B, tienen igual nmero de neutrones. Si la suma de sus nme-ros atmicos es 76 y la diferencia de sus nmeros de masa es 4. Cuntos electronestiene el tomo A? Describe the real world example of newtons third law that were in the In Tenna fight in the application of newtons law [tex]\boxed {\boxed {prove : \: 3 \: is \: greater \: than \: 5 }} [/tex] The god Zeus hits the ships with a storm. What is implied about Odysseus's situationbased on this? Which of the following statements is true about the Second Amendment? *It says that people have the right to keep and carry guns.It protects individual rights of American citizensIt prevents the government from unreasonable searches and seizure of private property.It guarantees that someone accused of a crime can't be forced to testify against him/herself. Rotate 90 clockwise about the origin E = (-3, 3)F = (-2, -1) D = (-2, 3)C = (-1, 4) which value for s will make this equation true? s(11-s)=24answer choices: 8465 Which section of an expository essay comes after the last body paragraph A. Supporting detailsB. Conclusion paragraphC. Thesis statementD. Introduction paragraph 4) Aos poucos, as pessoas esto aderindo s lmpadas de LED que so mais eficientes, poisproporcionam a mesma energia luminosa de outras lmpadas com menor consumo deenergia eltrica, ou seja, so mais econmicas. Sabendo disso, considere uma residncia queapresenta 8 lmpadas fluorescentes compactas de 11 W que ficam acesas 5 horas por dia.a) Qual o consumo de energia eltrica, em kWh, apresentado por essas lmpadas em 1ms (30 dias)?b) Se cada uma das lmpadas for trocada por uma lmpada de LED de 7 W queproporciona a mesma iluminao, qual ser o novo consumo de energia eltrica, emkWh, apresentado por essas lmpadas em 1 ms (30 dias)?c) Qual a quantidade de energia economizada em 1 ms (30 dias) com a troca daslmpadas?d) Em um local onde o kWh custa R$ 0,50, qual o valor economizado anualmente na contade energia eltrica?