A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is:

55x + 35y = 200

If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?

Round your answer to the nearest hundredths decimal place.

Answers

Answer 1

9514 1404 393

Answer:

  2.05 hours

Step-by-step explanation:

Using the given equation with the given time, we have ...

  55x +35(2.5) = 200

  55x = 112.5 . . . . . . . . subtract 87.5

  x = 2.05 . . . . . . . . . . divide by 55

The car spends 2.05 hours at 55 mph.


Related Questions

Find two ways to make 88 "4" four times, you may use any of the four operating symbols(+, -, *, /)the square rot symbol or the symbol for factorial

Answers

Add 22 four times i guess

Answer: 44 + 44 = 88

Step-by-step explanation: You may not see it but, if you line them up like this 4 4 4 4 you see 44 44. So 44 + 44 + 88

Find the perimeter of this semi-circle with radius,

r

= 26cm.

Give your answer as an expression in terms of

π?

Answers

Answer:

26x2,

52xπ

Step-by-step explanation:

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let 'r' be the radius of the circle. The circumference of the circle will be

C = 2πr units

The radius of the semicircle is given as,

r = 26 cm

Then the circumference of the semicircle is half of the circle. Then we have

C = 1/2 x 2πr

C = πr

At r = 26 cm, then we have

C = 3.14 x 26

C = 81.64 cm

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ5

if u work it out then i will give lots of brinilets (pls show workings out)
:P

Answers

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

Will give another brain!!

Answers

Answer:

Side Side Side the last option

Step-by-step explanation:

When the football play started Andre ran forward 20 yards then turned around and ran 5 yards back he stood in that spot for 3 seconds then walked back to where he began

Answers

Answer: B

Step-by-step explanation: this one

Answer:

Step-by-step explanation:

put Distance in the Y-axis and put Time in the x-axis

find the cube root of​ 27a

Answers

Answer:

3a

Step-by-step explanation:

27a ÷ 3 (number of cube root) = 3a

Answer:

3 a

Step-by-step explanation:

is the right answer you welcome

(Multiple choice/ Most Brainly will be rewarded)
Can I please have some help on this question.
(Zoom in if needed)

Answers

Answer:

6

Step-by-step explanation:

you want to create two equations for each situation so if v=number of students that can fit in a van and c=number of students that can fit in a car then you can create the equations 3v+1c=22 and 2v+4c=28

then you want to make both equations equal to c

so for the first one you subtract both sides by 3v and you get c= -3v+22

and for the second one you subtract 2v from both sides and end up with 4c=-2v+28 and then divide both sides by 4 leaving you with c= -1/2v+7

then you make both of those equations equal to each other and solve for v

so -3v+22= -1/2v+7 and you end up with v=6

therefore, each van can hold 6 students

Solve the equation 4(c-3)=8 What are two ways to start solving this equation? Choose BOTH ways Subtract 4 from both sides to get c-3=4 Use the distributive property to get 4c-12=8 Divide both sides by 4 to get c-3=2 Use the distributive property to get 4c-3=8 Add 3 to both sides to get 4c=11

Answers

Answer:

b) Use the distributive property to get 4c-12=8

c) Divide both sides by 4 to get c-3=2

Step-by-step explanation:

Solve the equation 4(c-3)=8

What are two ways to start solving this equation?

We are given the Equation

4(c - 3) = 8

The two ways to start solving this Equation is given as:

1. 4(c - 3) = 8

We expand the brackets, using Distributive property

4c - 12 = 8

Or

2. 4(c - 3) = 8

Divide both sides by 4

4(c - 3)/4 = 8/4

c - 3 = 2

Therefore, options b and c is correct

What is x in 8x - 5 = -37

Answers

Answer:

If i'm doing this correctly it is 6?

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

8x - 5 = -37

   + 5     +5  add five to both sides of the equation so you can isolate the x

8x = -32

/8        /8 then divide 8 by both sides of the equation

x = -4

and then you get ur answer

Hope this helps :)

7y - 28 = 8y - 14


A) -15
B) -6
C) -14
D) -13

Answers

ANSWER:

C) -14


step-by-step explanation:

7y - 28 + 28 = 8y - 14 + 28
Answer:
C) -14
Explanation:

Can you pls help me with my homework I need help

Answers

Answer:

13cm

Step-by-step explanation:

square 12

square 5

add the answers

then square root the answer

help please will mark brainliest

Answers

Answer:

459

Step-by-step explanation:

27 x 17= 459

Algebra 2 - Grade 11

Can anyone please help me soon as possible?

Use synthetic substitution to find f(–3) and f(4) for each function.


f(x) = x^2 – 5x + 10

f(x) = x^3 + 3x^2 + 2x – 50

Answers

Answer:

for the first equation

f(-3) = 34

f(4) = 6

for the 2nd equation

f(-3) = -56

f(4) ÷ 70

Step-by-step explanation:

my work is attached in a picture.

all you do is substitute each x value into each equation

PLS HELP ASAP. 60 PTS. SORRY I COULDN’T DO MORE

Which is the simplified form of (9c^-9)^-3

A. 9c^27
B. 1/729c^27
C. 729c^27
D. 9/c^27

Also, no random answers pls

Answers

Answer:

it's a

Step-by-step explanation:

just took the testttt

Jared and Morgan are making two gazebos in the shape of regular polygons, Jared's gazebo is a heptagon
and has an apothem of 13.6 feet and an area of 623.5 ft and Morgan's gazebo is an octagon has an
apothem of 12.5 feet and an area of 517.8 ft". Which gazebo has the longest side length?

Answers

The gazebo with the longest side length is the heptagon.

What is the side length of the heptagon?

A heptagon is a polygon with 7 sides. It has 7 edges and vertices.

The length of the side of a heptagon = (area of the heptagon x 2) / (number of sides x length of the apothem)

= (623.5 x 2) / (7 x 13.6)

= 1247 / 95.2

= 13.1 feet

What is the side length of the octagon?  

A octagon is a polygon with 8 sides. It has 8 edges and vertices. The sum of internal angles in 135 degrees.

The length of the side of a octagon = (area of the octagon x 2) / (number of sides x length of the apothem)

= (517.8 x 2) / (12.5 x 8)

= 1035.6 / 100

= 10.356 feet

To learn more about an octagon, please check: https://brainly.com/question/12080203

What are the zeros of the parabola represented by the function - 2x2 = -5x + 3?

PLZ HELP :((!!

Answers

Answer:

and in other pic its me .....lol

Write an equation for the total amount y after the given rate of increase is added to the original amount x.

20%

Answers

Answer:

y = 1.2x

Step-by-step explanation:

The given original amount is x.

Increase = 20%

Increase = [tex]\frac{20}{100}[/tex]

Increase = 0.2

Amount of increment = 0.2x

Total amount = Original amount + Amount of increment

y = x + 0.2x

y = 1.2x

4(6x-4)=8(3x-2) equations with special cases

Answers

Answer:

Infinite solutions

Step-by-step explanation:

4(6x-4)=8(3x-2)

24x - 16 = 24x - 16 ^ Distribute

Infinite solutions (they equal  each other)

Step-by-step explanation:

4(6x−4)=8(3x−2)4(6x-4)=8(3x-2)

Simplifica 4(6x−4)4(6x-4).

Pulsa para ver menos pasos...

Aplicar al propiedad distributiva.

4(6x)+4⋅−4=8(3x−2)4(6x)+4⋅-4=8(3x-2)

Multiplicar.

Toca para ver más pasos...

24x−16=8(3x−2)24x-16=8(3x-2)

Simplifica 8(3x−2)8(3x-2).

Pulsa para ver menos pasos...

Aplicar al propiedad distributiva.

24x−16=8(3x)+8⋅−224x-16=8(3x)+8⋅-2

Multiplicar.

Pulsa para ver menos pasos...

Multiplicar 33 por 88.

24x−16=24x+8⋅−224x-16=24x+8⋅-2

Multiplicar 88 por −2-2.

24x−16=24x−1624x-16=24x-16

Mover todos los términos que contengan xx al lado izquierdo de la ecuación.

Pulsa para ver menos pasos...

Restar 24x24x a ambos lados de la ecuación.

24x−16−24x=−1624x-16-24x=-16

Combine los términos opuestos en 24x−16−24x24x-16-24x.

Pulsa para ver menos pasos...

Reste 24x24x de 24x24x.

0−16=−160-16=-16

Reste 1616 de 00.

−16=−16-16=-16

Dado que −16=−16-16=-16, la ecuación siempre será verdad para cualquier valor de xx.

Todos los números reales

El resultado se puede mostrar en múltiples formas.

Todos los números reales

Notación de intervalos:

(−∞,∞)

What is a​ fallacy? Give examples of fallacies and describe how the argument is deceptive.
What is a​ fallacy?
A.
A fallacy is the study of the methods and principles of reasoning.
B.
A fallacy is a fact or assumption used in an argument to support a conclusion.
C.
A fallacy is a deceptive argument. It is an argument in which the conclusion is not well supported by the premises.
D.
A fallacy is a set of facts or​ assumptions, called​ premises, to support a conclusion.

Please help!

Answers

to me i think it A but C kinda as well it tricky but me i chose a

The answer to this question is option c. A fallacy is a deceptive argument. It is an argument in which the conclusion is not well supported by the premises.

A fallacy is a false or untrue statement. The argument in a fallacy is deceptive because the reasoning behind it makes the argument invalid.

A fallacious argument is an argument that is actually different from what it presents itself to be.

Read more on https://brainly.com/question/8902053?referrer=searchResults

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally, how much pet food will each container hold?

Answers

Answer:

each container will hold 0.833 pounds

Step-by-step explanation:

pls mark me brainliest

Cost to store: ?
Markup: 15%
Selling price: $85.10

Answers

Answer:

115% = 85.10

divide both sides by 115 to find 1%

1% = 0.74

now multiply both sides by 100 to find 100%

100% = 74

cost price = $74

Drag the tiles to classify each number as rational or irrational. Each tile may be used more than once.

Rational
or
Irrational
Please Answer ASAP Thanks You!​

Answers

Answer:

Step-by-step explanation:

1. rational

2.inrational

3.in

4. rational

5. in

edge 2021

Solve for the variable. 4/2=3/x
A.2/3
B.1.5
C.6
D.12

Answers

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{4}{2}[/tex] = [tex]\frac{3}{x}[/tex] ( cross- multiply )

4x = 6 ( divide both sides by 4 )

x = 1.5 → B

Answer:

3/2 0r B. 1 1/2

Step-by-step explanation:

Step 1: Cross-multiply.

4/2=3/x

4*x=(3)*(2)

4x=6

Step 2: Divide both sides by 4.

4x/4=6/4

x=3/2

Answer:

x=3/2

3/2 is an equivilant to B 1.5 or 1 1/2

Mickey said that 45.7654 rounded to the nearest thousandth is 45.765 and Nicole said that it was 45.766. Who is correct and why?

Answers

Answer:

Mickey

Step-by-step explanation:

Mickey is correct because if you look at the number 45.7654 whenever you round to the nearest thousandth it'll be 45.765

5 is the thousandth place so look to the right. If the number to the right is greater than 5 it'll round to 47.766 but since it's a four ti rounds down.

Mickey is correct because you can only round up if the number is 5 or higher. Nicole rounded up with a 4 so she is wrong.

help pls, answer choices listed!
what is the standard form of the quadratic function that has a vertex of (4,-2)and goes through the point ( 5,0)
A. y = 2x^2 - 16x + 30
B. y = 2x^2 - 16x + 32
C. y= 2 (x - 4)^2 - 2
D. y = 2x^2 - 8x - 2

Answers

Answer:

C:  y = 2(x - 4) - 2

Step-by-step explanation:

The vertex formula of a quadratic is y - k = m(x - h).  

Here the vertex is at (4, -2), and so we now have y + 2 = a(x - 4).

Find a:  letting y = 0 and x = 5, we get 0 + 2 = a(5 - 4), which means a  = 2.

The desired equation is C:  y = 2(x - 4) - 2

PLS MATH QUIZZ

Jeremiah invested $70,000 in an account paying an interest rate of 6.8% compounded daily.Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $99,000?

Answers

Answer:

t≈

5.1

Step-by-step explanation:

A=99000 P=70000 r=0.068 n=365

Given values

99000

70000

(

1

+

0.068

365

)

365

t

70000(1+

365

0.068

)

365t

Plug in values

99000

=

99000=

70000

(

1.0001863

)

365

t

70000(1.0001863)

365t

Simplify

99000

70000

=

70000

99000

=

70000

(

1.0001863

)

365

t

70000

70000

70000(1.0001863)

365t

Divide by 70000

1.4142857

=

1.4142857=

1.000186

3

365

t

1.0001863

365t

log

(

1.4142857

)

=

log(1.4142857)=

log

(

1.000186

3

365

t

)

log(1.0001863

365t

)

Take the log of both sides

log

(

1.4142857

)

=

log(1.4142857)=

365

t

log

(

1.0001863

)

365tlog(1.0001863)

Bring exponent to the front

log

(

1.4142857

)

log

(

1.0001863

)

=

log(1.0001863)

log(1.4142857)

=

365

t

log

(

1.0001863

)

log

(

1.0001863

)

log(1.0001863)

365tlog(1.0001863)

Divide both sides by log(1.0001863)

1860.731865

=

1860.731865=

365

t

365t

Use calculator

1860.731865

365

=

365

1860.731865

=

365

t

365

365

365t

Divide by 365

5.0978955

=

5.0978955

It would take 5 year for the value of the account to reach $99,000.

What is Future Value?

The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.

Given:

P = $70000

R= 6.8%

SV = $99000

For Compounded Daily

A = P [tex](1+ (R/100)/ 365) ^{365n[/tex]

99000 = 70000 [tex](1+ (0.068/100)/ 365) ^{365n[/tex]

[tex](1+ (0.068/100)/ 365) ^{365n[/tex] = 1.414

[tex](1. 00019)^{365n[/tex] = 1.414

[tex]1.072^n[/tex] = 1.414

and, n=5 years

Hence, it would take 5 year for the value of the account to reach $99,000.

Learn more about future Value here:

https://brainly.com/question/14860893

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PLEASE HELP
Find the value of x and y. Write your answer in simplest radical form.

Answers

Answer:

Y=10

x=14.14

Step-by-step explanation:

Because the two smaller angles are equal, it is an isosceles triangle with both legs equal in length.

so y=10

By the Pythagorean theorem, x^2=10^2+10^2

x^2=200

x=14.14

Helpppppppppp. plsssss.Struggling :(

Answers

Answer:

68°

Step-by-step explanation:

22°+68°=90° ......

Select all that apply.

Chandler can mow 2 lawns per hour. If L represents lawns and H represents hours, which of the following equations represent this rate relationship?

Answers

Answer:

H=2L

Step-by-step explanation:

In one hour= CHandler can mow 2 lawns

1H=2L

H=2L

Answer:

L = 2 x H

H = 1/2 x L

Step-by-step explanation:

Which multiplication equation is related to the division equation 1/9 ÷ 5 = __
A. 5 x 1/25=1/9
B. 1/45 x 5=1/9
C. 1/45 x 1/5=1/9
D. 5 x 1/15=1/9

Answers

Answer: B. [tex]\dfrac1{45}\times5=\dfrac19[/tex]

Step-by-step explanation:

We know that,

[tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}[/tex]

Then, [tex]\dfrac19\div 5[/tex] [tex]=\dfrac19\times\dfrac15[/tex]

[tex]=\dfrac1{45}[/tex]

i.e.

[tex]\dfrac19\div 5=\dfrac{1}{45}\\\\\Rightarrow\ \dfrac1{45}\times5=\dfrac19 \ \ \ \text{[Multiply 5 on both sides]}[/tex]

Therefore, the multiplication equation is related to the division equation [tex]\dfrac1{45}\times5=\dfrac19[/tex]

Hence, the correct option is B. [tex]\dfrac1{45}\times5=\dfrac19[/tex]

Other Questions
. A hydraulic lift consists of two cylindrical pistons, one with a radius of 1.5 m andthe other with a radius of 8.0 cm. What force must be applied to the smaller piston ifa crate with a mass of 1.5x103 kg is to be raised on the larger piston?F=42N, x and y are two non-zero real numbers such that: x-y=15 and x+y=35. then x-y=A. 15B. 5C. -35 Ill give brainliestWhat behaviors does Confucius consider virtuous? The quotient of a number (x) and 2 is 4 Ruben gets $9 allowance each week. He wants to save 4% of this. How much money will he save each week? How is the solution of 2y=8 related to the solutions of 2y < 8 Question 94 ptsWhich part of government is influenced by the number of people who live in a state?O SenateO House of RepresentativesSupreme CourtThe White House Which two things do all plants need for photosynthesis? *Carbon dioxide and soilWater and carbon dioxideInsects and waterSoil and sugar. list all of the poems that were read at inaugurations? if a child had O type blood and the mother had B type blood and the father had A type blood, could a blood test eliminate the father Which of the following statements most accurately describes Hamiltons financial policies?A. Hamilton thought state governments should be more powerful than the federal government. B. Hamilton wanted the states to run the national bank. C. Hamilton thought states ought to pay Their own debts from the American Revolution. D. Hamilton believed the federal Government should have a strong role in determining economic policies. Select the term in the blank space beside the definition that it most closely matches. 1. A type of business that earns income by buying and selling merchandise. 2. Inventory is updated for purchases and sales of inventory only at the end of a period. 3. Inventory is updated for each purchase and each sale of inventory. 4. The expense of purchasing and preparing the merchandise sold during a period. 5. Seller's description of a cash discount granted to buyers in return for early payment. 6. The amount of time allowed by a seller before payment is due from the buyer. 7. Time period in which a cash discount is available. 8. Refers to credit terms where goods in transit are owned by the seller. Twice a number increased by 43 is greater than one-fourth the number increased by 88. Which inequality can be used to determine the number?2x + 43 > 4x + 882x+43>x/4+882x+43>x/4-882x+43 If u had 693 cats and 593 died PLEASE HELP ME (PROMISE I WILL MARK YOU AS BRAINLISTI)Who Would Say That? Read each statement. If it sounds like something a Federalist would have said to support the Constitution, write F in the box. If it sounds like something an Anti-Federalist would have said to complain about the Constitution, write A on the line ___ 1. The Constitution gives the federal government enough power to overpower the states. ___ 2. It will not be possible for the federal government to overpower the states, because the states are a necessary part of the federal government. ___ 3. The Constitution contains no Bill of Rights to protect individual liberties like freedom of speech, trial by jury, and the right against searches and seizures. ___ 4. The Constitution says federal laws are the supreme law of the land, so the federal government could just take complete control. ___ 5. Nothing in the Constitution says the federal government has power to limit peoples freedoms in the first place. ___ 6.The Constitution gives the federal government just a few powers that are very well defined. ___ 7. The President created by the Constitution is really just a king. Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes What did Junipero Serra do? A. Explore the west as far as California B. Founded a chain of missions C. Invaded Mexico with Zachary Taylor D. Made a fortune with his trading posts Which of the following chemical equations correctlyrepresents between calcium hydroxide andhydrochloric acid?+ 2HCI CaCl2(aq) + 2H20)'(aq)+ HCI '(aq)A Ca(OH)2(aq)B Ca(OH)2(aq)C Ca(OH)2(aq)D Ca(OH)2(aq)OcaCl(aq)CaCl2(aq)+ H2O+ 2H200+ HCl(aq)+ 2HCI'(aq)Caci,2(aq)+ 2H211)+2(g) A square has a side length of . Which of the following rational numbers best describes this value? Select the most accurate paraphrase. Fra. Girolamo Savonarola warned about the dangers of art and music. Fra. Girolamo Savonarola talked of evils while living in S. Marco as he preached to the people. Fra. Girolamo Savonarola lived in S. Marco. Fra. Girolamo Savonarola lived in S. Marco and warned of the dangers of imagery, music, and texts that could tempt people.