John has the option to take the bus or a taxi to work each

day.
.

The bus costs $3. 00 per mile.

The taxi has a flat rate of

$4. 00 plus $1. 00 per mile.



Complete the blanks:


At _____miles, both the bus and the taxi will cost _____ dollars.


Answers

Answer 1

At 2 miles, both the bus and the taxi will cost $6.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given that the fare on bus is $3 per mile.

The taxi fare of taxi is $4. 00 plus $1. 00 per mile.

Assume that at x miles both fare will be the same.

The fare for x miles in bus is $3x.

The fare for x miles in taxi is $4 + $x

Equate to the fares:

3x = 4 + x

Subtract x from both sides:

3x - x = 4

2x = 4

Divide both sides by 2:

x = 4/2

x = 2.

The fare for 2 miles in bus is $3×2 = $6.

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Related Questions

Jupiter is about 5. 2 Astronomical Units (AU) from the Sun. Neptune is about 30. 1 AU from the sun. How many times as far from the Sun is Neptune as Jupiter? First answer gets brainliest

Answers

If Jupiter is about 5.2 Astronomical Units (AU) from the Sun and Neptune is about 30.1 AU from the Sun, Neptune is about 5.79 times far from the Sun as Jupiter.

Therefore the answer is 5.79.

To find how many times as far from the Sun Neptune is as Jupiter, we need to divide the distance from the Sun to Neptune by the distance from the Sun to Jupiter.

Neptune is about 30.1 AU from the Sun and Jupiter is about 5.2 AU from the Sun, so:

= Distance from the Sun to Neptune / Distance from the Sun to Jupiter

= 30.1 / 5.2

= 5.79

So, Neptune is about 5.78 times as far from the Sun as Jupiter.

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can someone anyone help me with my hegaty maths work
I'll post the answers on here you just answers them ​

Answers

Answer:

sure

Step-by-step explanation:

Answer:

okey I'm not sure but

I can try to help u...

evaluate 27/32 × 16/27, give your answer in its simplest form​

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{27}{32}[/tex] × [tex]\frac{16}{27}[/tex] ← cancel the 27 and 16, 32 by 16

= [tex]\frac{1}{2}[/tex]

solve for x. please help.

Answers

Answer:

x = 16

Step-by-step explanation:

adjacent angles in a parallelogram are supplementary

3x + 5 + 9x - 17 = 180

12x - 12 = 180

12x = 192

x = 16

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

A) -2 - i√3 , -2 + i√3

Step-by-step explanation:

Solve using quadratic formula

x² + 4x + 7 = 0

The Almighty Formula

= -b ± √b² - 4ac/2a

Where ax + bx² + c = 0

From the above question

a = 1, b = 4, c= 7

Hence,

-4 ± √4² - 4 × 1 × 7/2 × 1

-4 ± √16 - 28/2

=( -4 ± √-12)/2

Since

b² - 4ac < 0

We have two complex roots

Simplifying

( -4 ± √-12)/2

= -4/2 ± √-12/2

= -2 ± 2√3i/2

= -2 ± √3i

Therefore,

-2 - √3i , -2 + √3i

or

-2 - i√3 , -2 + i√3

Option A , is the correct answer

The planet Mercury travels 180,600 miles in its orbit during the 7 hours that make
up a typical school day. Find the unit rate.

Answers

Answer:25800 for 1 hour

Step-by-step explanation:

ewasfzafsagds

WILL MARK BRAINLIEST HELPPP QUICK

Select ALL the expressions that are equivalent to 16x − 12 − 24x + 4

1) 40x − 16
2) −8x − 8
3) 16x − 24x − 4 + 12
4)10(1.6x − 1.2 − 2.4x + 4)
5)4 + 16x − 12(1 + 2x)

Answers

Answer:

2,3 and 5

Step-by-step explanation:

2
5

make sure to simplify the expressions and add like terms!!

The basketball team averaged 68 points per game last season and average 77 points per game this season. What is the approximate percent of the increase

Answers

According to question we can say that the approximate percentage of the increase is 13.2352%.

What is percentage?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

Based on the given conditions, formulate: (77 —68)/ 68

e sum or difference:9/68 = 0.132352

0.132352 x100/100

=13.2352%

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State the Pythagorean theorem using the triangle shown below

Answers

Answer: p^2 + q^2 = r^2

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

P = a (leg)

q = b (leg)

r = c (Hypotenuse)

Answer:

p^2+q^2=r^2 (the third option)

Step-by-step explanation:

The Pythagorean theorem states that each side not the hypotenuse squared equals the hypotenuse squared.

If m^2 = 3 then what is the value of 5m^6

a. 15
b. 30
c. 45
d. 135

Answers

Answer:

d. 135

Step-by-step explanation:

[tex] {m}^{2} = 3...(given) \\ \therefore \: {( {m}^{2} )}^{3} = {3}^{3} \\ \therefore \: m^{6} = 27 \\ \therefore \: 5m^{6} = 27 \times 5 \\ \therefore \: 5m^{6} = 135[/tex]

Ellis purchased $74.62 worth of
party supplies. He paid with at
$100 bill. How much change
does he receive?

Answers

Answer:25.38

Step-by-step explanation:

25 dollars and 38 cent

PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.

Answers

Answer:

1. b > 12

2. To draw it on the number line, draw a circle around 12, and draw an extending line going to the left of 12.

Step-by-step explanation

Just learn your maths! lol

Answer:

b > 12

Step-by-step explanation:

Mr.Parrillo’s class has adopted a section of a highway to keep clean.If 1/3 of the section is 3/4 how long is the whole section

Answers

The whole section is 9/4 unit.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Mr.Parrillo’s class has adopted a section of a highway to keep clean.

1/3 of the section is 3/4.

To find the length of the whole section:

Multiply by 3.

So,

The length of the whole section = 3 (3/4)

The length of the whole section = 9/4

Therefore, 9/4 unit is the length.

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Liam Brought 5/8 Pound of cherries. Harrison Brought more cherries than Liam. Which could be the amountOf cherries that Harrison brought ?

Answers

The amount of cherries bought by the Harrison is 62.5 pounds.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

The amount of cherries bought by the Harrison should be more than the cherries bought by the Liam which is 5/8. Thus, The amount of cherries bought by the Harrison is more than the 5/8 or 62.5 pounds of cherries percent.

The cherries bought by the Liam is 5/8 pounds

The cherries bought by the Harrison is more than the Liam.

As in the problem the number of cherries bought Harrison (let) should be more than the cherries bought by the Liam (let ). Therefore,

H > L

As we know that the number of cherries bought by the Liam is 5/8 pounds. Keep the value of  in the above equation, we get,

H > 5/8

This equation can be rewritten in the percentile form as,

h > (5/8) * 100 %

h > (5/2) * 25 %

h > 62.5 %

Hence, The amount of cherries bought by the Harrison is more than 5/8 pounds or 62.5 pounds of cherries percent.

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Identify the root of f(x)=-2(x+9)(x-1)

Answers

Answer:

(-9,0)  and (1,0)

Step-by-step explanation:

Help PLSSS for brainlest and extra points lol

Answers

Answer:

b

Step-by-step explanation:

Answer: I would go with B.

Step-by-step explanation:

X<6. It’s looking for numbers that are smaller than 6 basically, so the arrow should go to the left. The circles also are important. A closed circle means greater than or equal to or vise verse, and the open circle just looks like these < >.

Which of the b values are solutions to the following equation?
b^2 = 2.56b

Answers

Answer:

answer is D

Step-by-step explanation:

as we need to cancel the square in b

so we add square root on both sides and square root of 2.56 is 1.6

Answer:

C and D

Step-by-step explanation:

Given

b² = 2.56 ( take the square root of both sides )

b = ± [tex]\sqrt{2.56}[/tex] = ± 1.6

Then solutions are

b = - 1.6 → C

b = 1.6 → D

Which equation can be used to determine the line that passes through the points (-1, -2) and (3, 10)?Justify your reasoning using new and prior concepts. Use math vocabulary to explain your thinking.

Answers

The equation the line is, y-3x=1

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-1,-2) and, (3,10)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y+2)/(x+1)=(10+2)/(3+1)

=>y+2=3x+3

=>y-3x=1

Hence, the required equation is,  y-3x=1

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6. Jenna wants to hang outdoor stringed lights on her house along the roof line

and horizontally across, connecting the ends of the roof line to create a triangle.

What is the approximate length, in feet, of lights that she needs to create one

triangle?

A. 48

B. 64

C. 80

D. 98

Answers

The approximate length, in feet, of lights that she needs to create one triangle is 64

This is an approximate estimate as the exact length would depend on the specific measurements of the roof line. However, if the roof line is a typical house roof and the string lights are hung horizontally across to connect the ends of the roof line, creating a triangle, the approximate length of lights needed would be the hypotenuse of the triangle (the longest side) which is equal to the square root of (leg 1^2 + leg 2^2).

A typical house roof is approximately 40 feet wide and 20 feet tall, which creates a right triangle with legs of 40 and 20. The hypotenuse of this triangle (the length of lights needed) would be approximately 64 feet (the square root of (40^2 + 20^2) = 64).

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54 is 72% of what number?

Answers

Using Y as the answer, 54/72% = Y/100%. 72Y = 54 x 100, 72Y = 5400 divided by 100 = 75.
54 is 72% of 75.

This problem requires simple division in which we will be dividing 54 by 0.72:

54 / 0.72 = 75

This can be checked through calculation of 72% of 75, which can be started with by dividing 75 by 10 to find 10% of 75:

75 / 10 = 7.5, and we can divide again by 10 to find that 0.75 is 1% of 75.

Now that we have 1%, we multiply it by 72 to find that:

0.75 • 72% = 54

Therefore, 54 is 72% of 75.


will give brainlyist to whoever can help me or can tell me where to find the answers

Answers

Answer:

Step-by-step explanation:

If n=4 the value of the expression 28-12+ square root of n divided by 2 is____.
A. 15
B. 17
C. 17/2
D. 21

Answers

Answer:

the answer is c: 17/2

Step-by-step explanation:

If f(x) = x5 - 1, g(x) = 5x², and h(x) = 2x, which expression is equivalent to [go fo h](9)?
O2(5(95-1)²)
O2((5-92)5-1)
O5((2-9)5-1)²
O(5(2-9)2)5-1

Answers

The response to the given domain range questions is [go f oh]. (9) = 5(18^2 - 1 )

What are the domain and range?

Domain and range. A function's authorised range of values is known as its domain. The x values in a function like f make up this set (x). A function's range is the collection of values that it can take as input. When we enter an x value, the function outputs this set of values.

According to the given information:

f(x) = x^5 – 1, g(x) = 5x^2, and h(x) = 2x

[g o f o h](9)=g(f(h(9))

Let's find h(9) first

h(x)= 2x

h(9)= 2(9) =18

Now plug in 18 for h(9)

[g o f o h](9)=g(f(h(9)) = g(f(18))

now we find f(18)

f(x) = x^5 – 1, f(18)= 18^5 -1

Now we plug in 18^5 -1 for f(18)

[g o f o h](9)=g(f(h(9)) = g(18^5 -1)

Plug it in g(x)

g(x)= 5x^2

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express 0.67, 7 recurring as a fraction​

Answers

Answer:

61 divided by 90

Step-by-step explanation:

This is due tomorrow please help!!!

Answers

Answer:

the length would be the same as the other side so the length would be 19.5 and the width 15

Can someone answer the division questions?

Answers

Answer:

The answer for the first one is 5 2/5

The answer for the second one is 3 1/7

The last answer is 3

Step-by-step explanation:

Write an equation of the line passing through the point (1,8) and parallel to y=−3x+10

Answers

The equation of the line is 3x + y - 11 = 0.

The slope-intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

First we find the slope of the line y=-3x+10 by placing it into slope-intercept form:

y = -3 x + 10

Therefore, the slope of the line is m= -3

Now since the equation of the line with slope m passing through a point

(x₁ ,y₁) is y-y₁ = m(x-x₁)

Here the point is (1,8) and slope is m= -3, therefore, the equation of the line is:

y - 8 = -3(x - 1)

y - 8 = -3x +3

3x + y - 11 = 0

Hence, the equation of the line is 3x + y - 11 = 0.

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Simon wants to drive 450 miles in 12 hours. He knows that stopping for breaks will take a total of 3 hours. What should be his average speed in miles per hour?


50

30

45

38​

Answers

Answer:

it's 50 g

Step-by-step explanation:12-3=9 so u divide 450 by 9 and u get 50[][][][][][]brainliest?

Pleasssee helppp and thankkkss!!!

Answers

1: 2/8. 2: 4/14. 2/7 is greater then 1/4

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:  24/25

==================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(L) = ML/LK

cos(L) = 24/25

The diagram is below.

The side KM = 7 is not used at all.

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