Bryan took a taxi home from the opera. The taxi fare was $2.50 per mile, and he gave the driver a tip of $3. Bryan paid a total of $35.50. The equation 2.50x + 3 = 35.5 can be used to find the distance in miles (x) between the opera house and Bryan's home.

How many miles is it between the opera house and Bryan's home?

Answers

Answer 1
It is 13 miles between the Opera House and Bryan's home.
Answer 2

Answer:

There are 13 miles between the opera house and Bryan's home.

Step-by-step explanation:

The equation [tex]2.50x+3=35.5[/tex] can be used to find the distance in miles (x) between the opera house and Bryan's home.

We will solve this to get the value of x.

[tex]2.50x+3=35.5[/tex]

=> [tex]2.50x=35.5-3[/tex]

=> [tex]2.50x=32.50[/tex]

we get x = 13

Hence, there are 13 miles between the opera house and Bryan's home.


Related Questions

Identify the percent, amount, and base in this problem: 25% of what number is 40?

Answers

Final answer:

In this problem, we are given the percentage (25%) and the amount (40), and we need to find the base. To find the base, we can set up an equation and solve for x. The base in this problem is 160.

Explanation:

In this problem, we are given the percentage (25%) and the amount (40), and we need to find the base. The base represents the whole quantity or number that the percentage is taken from.

Let x be the base. We can set up the equation: 25% of x is equal to 40, or 0.25x = 40.

To find the base, we divide both sides of the equation by 0.25: x = 40 / 0.25.

Simplifying, we get x = 160. Therefore, the base is 160.

To summarize, the percent is 25%, the amount is 40, and the base is 160.

. Marcy has a 70% average in her class going into the final exam. She says "I need to get a 100% on this final so I can raise my score to 85%." Is she correct?

Answers

Marcy is correct if Marcy has a 70% average in her class going into the final exam. She says "I need to get a 100% on this final so I can raise my score to 85%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Marcy has a 70% average in her class going into the final exam. She says "I need to get a 100% on this final so I can raise my score to 85%.

As we know,

The ratio of two integers is stated as a fraction of a hundred parts. It is a metric for comparing two sets of data

= (70% + 100%)/2

= 170%/2

= 85%

Thus, Marcy is correct if Marcy has a 70% average in her class going into the final exam. She says "I need to get a 100% on this final so I can raise my score to 85%.

Learn more about the percentage here:

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Final answer:

To raise her score to 85%, Marcy needs to get an average of 1.83 on the final exam. Since it is not possible to score more than 100%, her claim of needing a 100% is not correct.

Explanation:

To determine whether Marcy can raise her score to 85% by getting a 100% on the final exam, we need to calculate the average needed on the final exam.

To find the average Marcy needs, we can use the formula: Final Average = (Current Average * Weight) + (Final Exam Score * (1 - Weight)), where the weight represents the percentage of the final exam in the overall grade.

Let's assume the weight of the final exam is 30%. Plugging in the values, we get:

85% = (70% * 0.7) + (Final Exam Score * 0.3)

Solving for the Final Exam Score:

85% - (70% * 0.7) = Final Exam Score * 0.3

0.55 = Final Exam Score * 0.3

Final Exam Score = 0.55 / 0.3

Final Exam Score = 1.83

Since it is not possible to score more than 100% on the final exam, Marcy's claim of needing to get a 100% on the final to raise her score to 85% is not correct.

(5,-3), (5,8). Find slope

Answers

Answer: 0 slope, horizontal line.

Step-by-step explanation:

when using y2-y1/x2-x1, you would get 8-(-3)/5-5. This simplifies to 11/0, which means that the line would have 0 slope. A line with 0 slope is a horizontal line.

Nine more than the quotient of two and a number x

I really need help!!​

Answers

Answer:

2/x + 9

Step-by-step explanation:

2/x is a fraction, but it also means divided by. More than means flip the addition to the end of the equation.

Find the distance between (-7, 10) and (-3, 6). Round your answer to the nearest tenth, if necessary.​

Answers

Answer:

5.7

Step-by-step explanation:

Select the correct locations in the table.
The table shows the federal government's budgeted revenue and expenditures from 2001 through 2010. Identify the years in which there was a
budget deficit
Year
Revenue
Expenditure
2001
$8 trillion
$6 trillion
2002
$5 trillion
$7 trillion
2003
$8 trillion
$10 trillion
2004
$9 trillion
$7 trillion
2005
$15 trillion
$18 trillion
2006
$8 trillion
$10 trillion
2007
$6 trillion
$4 trillion
2008
$2 trillion
$4 trillion
2009
$7 trillion
$4 trillion
2010
$5 trillion
$9 trillion
Reset
Next

Answers

Answer:

From the table shown the years in which there was a budget deficit are

2002,2003,2005,2006,2008,2010

Step-by-step explanation:

Budget deficit is said to be when expenditure exceed or is greater than the budgeted revenue.

For 2002:

Revenue = $5 trillion and expenditure = $7 trillion

To check for budget deficit = Revenue - expenditure ( $5 trillion - $7 trillion)

=  -$2 trillion ( there was a budget deficit of $2 trillion)

For 2003:

Revenue = $8 trillion and expenditure = $10 trillion

to check for budget deficit = Revenue - expenditure ($8 trillion - $10 trillion)

= -$2 trillion (there was a budget deficit of $2 trillion)

For 2005:

Revenue = $15 trillion and expenditure = $18 trillion

to check for budget deficit = Revenue - expenditure ($15 trillion - $18 trillion)

= -$3 trillion (there was a budget deficit of $2 trillion)

For 2006:

Revenue = $8 trillion and expenditure = $10 trillion

to check for budget deficit = Revenue - expenditure ( $8 trillion - $10 trillion)

= -$2 trillion (there was a budget deficit of $2 trillion)

For 2008:

Revenue = $2 trillion and expenditure = $4 trillion

to check for budget deficit = Revenue - expenditure ( $2 trillion - $4 trillion)

= - $2 trillion ( there was a budget deficit of $2 trillion)

For 2010:

Revenue = $5 trillion and expenditure = $9 trillion

to check for budget deficit = Revenue - expenditure ( $5 trillion - $9 trillion)

= -$4 trillion (there was a budget deficit of $4 trillion)

From the table shown the years in which there was a budget deficit are

2002,2003,2005,2006,2008,2010

Budget deficit is said to be when expenditure exceed or is greater than the budgeted revenue.

For 2002:

Revenue = $5 trillion and expenditure = $7 trillion

To check for budget deficit = Revenue - expenditure ( $5 trillion - $7 trillion)

=  -$2 trillion ( there was a budget deficit of $2 trillion)

For 2003:

Revenue = $8 trillion and expenditure = $10 trillion

to check for budget deficit = Revenue - expenditure ($8 trillion - $10 trillion)

= -$2 trillion (there was a budget deficit of $2 trillion)

For 2005:

Revenue = $15 trillion and expenditure = $18 trillion

to check for budget deficit = Revenue - expenditure ($15 trillion - $18 trillion)

= -$3 trillion (there was a budget deficit of $2 trillion)

For 2006:

Revenue = $8 trillion and expenditure = $10 trillion

to check for budget deficit = Revenue - expenditure ( $8 trillion - $10 trillion)

= -$2 trillion (there was a budget deficit of $2 trillion)

For 2008:

Revenue = $2 trillion and expenditure = $4 trillion

to check for budget deficit = Revenue - expenditure ( $2 trillion - $4 trillion)

= - $2 trillion ( there was a budget deficit of $2 trillion)

For 2010:

Revenue = $5 trillion and expenditure = $9 trillion

to check for budget deficit = Revenue - expenditure ( $5 trillion - $9 trillion)

= -$4 trillion (there was a budget deficit of $4 trillion)

Learn more about budget deficit here:

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Which of the following assist the floor leaders in getting party members to vote in a certain way in both houses of Congress

Answers

Answer:

The majority leader and minority leader are elected by their respective party conferences to serve as the chief Senate spokesmen for their parties and to manage and schedule the legislative and executive business of the Senate.

Plz Brainliest?

Anyway, Hope that Helped!

Answer:

Whips

Explanation:

The area of a rectangle is 42 square inches the rectangle is 7 inches long how wide is the rectangle

Answers

Answer: 6 inches

Step-by-step explanation:

formula for area of a rectangle is length times width

LW=A

substitute

7(W)=42

divide 7 on both sides

42/7 = 6

Answer: 6

A doormat is 3 feet by 2 feet.
What is the area of the doormat?
2 1/2 ft
2
NI
3 ft

Answers

area is equal to the length times the width. by multiplying 2 by 3 you should find the area is 6 ft^2

When writing an inequality how would you right x not equal to 25

Answers

Answer:

Step-by-step explanation:

it would be unequal to

Is this statement true or false?
The range of a list of numbers is the number of numbers in the list.
A:false
B:true

Answers

Answer:

A:False

Step-by-step explanation:

how do you know if two polygons are similar?

Answers

Any two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional: In the figure above the ratio or the scale factor of the quadrilateral to the left versus the quadrilateral to the right is ½. ( or the easy way same shape, same side)

Please help me with my aleks!!

Answers

Put 3x + 1 on the top and put 4x -3 on the other side

Answer:

PS = 37

Step-by-step explanation:

The opposite sides of a rectangle are congruent, thus

perimeter = 2(3x + 1) + 2(4x - 3) = 136 ← distribute and simplify left side

6x + 2 + 8x - 6 = 136

14x - 4 = 136 ( add 4 to both sides )

14x = 140 ( divide both sides by 14 )

x = 10

Hence

PS = 4x - 3 = (4 × 10) - 3 = 40 - 3 = 37

This should be a very simple question on interior angles adding up to 180º, however, I'm continuously getting it wrong. Help!

Answers

Answer:

58°

Step-by-step explanation:

65°+57°=122°

180°-122°=58°

what is 0.00000000055 in scirntific notation​

Answers

5.5 x 10 ^-10
i hope this helps

Answer:

5.5 x 10^-10

Step-by-step explanation:

There are 9 zeros descending from the decimal(so that's why its negative) then you count the five as a "number" and then it equals 10. Don't add the last five just one.


f(x) = 3x + 4 and g(x) = 5x - 10
fx for whichf(x) = g(x).

Answers

Answer:

x =7

Step-by-step explanation:

f(x) = 3x + 4 g(x) = 5x - 10

  f (x)   =   g (x)

3x + 4 = 5x - 10

4 + 10  = 5x - 3x

    14    = 2x

   14/2  =  x

     7 = x

What is the velocity of a vehicle after it moves 10 meters in 2 seconds?

Answers

Answer:

v = +5 m/s

Step-by-step explanation:

v = d/t

d = 10

t = 2

v = 10/2

v = +5 m/s

What is the measure of <T?
72°
156°
48°
132°​

Answers

Answer:

132°

Step-by-step explanation:

24+24+T=180

48+T=180

T=132°

the dimension of a rectangular plot is [7p+4q] and [3p+8p] unita respectively. Find the area of the plot when p=2 and q=1

Answers

Answer:

The area of the rectangular plot is 396 square unit.

Step-by-step explanation:

let [7p +4q ]= length of the rectangular plot. And

[ 3p+8p ] = width of the rectangular plot

given that p=2 and q=1

substitute them in the expression for the length

length=7(2)+4(1)

length=14+4

length=18units

again subject the values for p and q into the expression for the width

width=3(2)+8(2)

width=6+16

width=22units

but mathematically,

Area of a rectangular plot

= Length×width

A=W

given L=18units and W=22units

A=18units × 22units

A=396 square unit.

list the next 3 terms in the following sequence 1,2,4,8,16,32​

Answers

They are 64, 128, and 256 i do believe

Answer:

the next 3 terms are 64, 128, and 256

I need help with this! Angle RELATIONSHIPs

Answers

These are vertical angles. Therefore

(2x)=87-x

Add x to each side


3x=87


X=29

Answer:

The measures of the labeled angles are 58°.

Step-by-step explanation:

Since the two angles are opposite angles, they have to be equal, meaning:

[tex]2x = 87 - x[/tex]

Solve by adding x to both sides and dividing by 3.

[tex]3x = 87 \\ x = 29[/tex]

If x = 29°, then 2x= 58°.

Since opposite angels are equal, the other angle is also 58°.

This can be checked:

[tex]87 - 29 = 58[/tex]

5+1.5(2d-1)=0.5


How do you solve this?

Answers

Answer:

5 + 3d - 1.5 = 0.5

3d + 3.5 = 0.5

3d = -3

d = -1

Answer:

Step-by-step explanation

5+1.5(2d)1.5(-1)=0.5

5+3d-0.5=0.5

5+3d=1

3d=-4

D=1.33

Factor the expression shown below completely.
18x^2-60x+50


A.

B.

C.

D.

Answers

Answer:D. 2(3x-5)^2

Step-by-step explanation:

18x^2-60x+50=2(9x^2-30x+25)

Answer:

D. 2(3x - 5)²

Step-by-step explanation:

18x² - 60x + 50

The expression can be factorize as follows;

18x² - 60x + 50

divide through by 2

2(9x² - 30x + 25)

The bracket equation can be factorized further

Find the square value that can be multiplied to get 9x² and 25

The values are 3x and 5

2( (3x- 5)(3x - 5) )

2(3x - 5)²

1,084.9 in expanded form​

Answers

Answer:

1000+80+4+0.9

Step-by-step explanation:

Keep in mind that expanded form means to expand the number by adding the individual places values to form a mathematical expression. In other words, numbers are expanded to show the value of each of its digits.

For the thousands place:

1,084.9 ---> 1,000.0

Hundreds place:

Because the value is 0, you needn't to include it in the expression.

Tens place:

1,084.9 ---> 80.0

Ones place:

1,084.9 ---> 4

Tenths place:

1,084.9 ---> 0.9

The value of the equation is A = 1,000 + 80 + 9 + 0.40 = 1,084.90

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the value of A is

A = 1,084.90   be equation (1)

On simplifying the equation , we get

1 x 1000 = 1000

0 x 100 = 0

8 x 10 = 80

4 x 1 = 4

0.90 x 1 = 0.90

Substituting the values in the equation , we get

A = 1,000 + 80 + 9 + 0.40

On further simplification , we get

A = 1,084.90

Hence , the equation is solved

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(6j^2-2j+5)+(3j^2+4j-6)

Answers

Answer:whats the heck is this

Step-by-step explanation:473658857

9j^2+2j-1
Please give a thank you!

what is 12^2 *12^-4.

Answers

Answer:

[tex]\large\boxed{12^{-2}=\dfrac{1}{144}}[/tex]

Step-by-step explanation:

[tex]12^2\cdot12^{-4}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=12^{2+(-4)}=12^{-2}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{12^2}=\dfrac{1}{12\cdot12}=\dfrac{1}{144}[/tex]

Answer:

Step-by-step explanation:

This is the same to have 12^2/12^4

This is equal to have 1/12^2

1/144=0,0069

complete the square and put this function in vertex form: f(x)=x^2+20x+97

Answers

Answer:

Step-by-step explanation:

f(x)=(x²+20x+100) -3  because : 97 = 100 -  3

f(x) = (x+10)² -3 ....vertex form

4* 5+ (14 + 8) - 369

Answers

4*5 + (14 + 8) - 369
= 20 + 22 -369
= 44 - 369
= -325

Answer:

-327

Step-by-step explanation:

20+22-369=-327

Type the integer that makes the following division sentence true.
÷(−2)=−3

Answers

The integer that makes the division sentence x / (-2) = -3 true is 6.

Here's how we can solve for x:

Multiply both sides of the equation by -2 to isolate x:

x = -3 * (-2)

Simplify the right side:

x = 6

Therefore, dividing any number by -2 and then multiplying by -2 again should result in the original number. In this case, dividing 6 by -2 and then multiplying by -2 again gives us 6:

(6 / -2) * -2 = -3 * -2 = 6

Remember, when dividing by negative numbers, the result is flipped compared to dividing by positive numbers. This is why we need to multiply by -2 again to get back to the original number.

Final answer:

The integer that satisfies the division sentence x ÷ (−2) = −3 is 6, following the rule that multiplying two negative numbers yields a positive result.

Explanation:

To find the integer that makes the division sentence true, we look at the equation given: x ÷ (−2) = −3. To solve for x, we multiply both sides by −2, because division by a number is the inverse operation of multiplying by that number. So, we have x = −3 * (−2).

According to the rules of multiplication, when two negative numbers are multiplied together, the answer has a positive sign. Therefore, we get x = 6 as our solution. Since we know that dividing a positive number by a negative number yields a negative result, our calculated integer 6 is a valid answer because 6 ÷ (−2) indeed equals −3.

Following the rules of operations with negatives, such as in the examples 5 − (+3) that becomes 5 − 3 = 2, and 2 − (−6) that turns into 2 + 6 = 8, we can consistently apply the rule for division which mirrors the multiplication rules for signs to solve for our missing integer.

An equiangular triangle is also known as:
acute
right.
regular
obtuse

Answers

Answer:

acute

Step-by-step explanation:

because in a equiangular triangle all the angles are exactly 60° ..

soo..

then.. 60° is an acute angle as it is less than 90° ...

thus, an equiangular triangle is also known a s acute triangle

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