Scott rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 92 cents for each mile driven. Scott had to pay $150.55 when he returned the truck. For how many miles did he drive the truck?

I need to find how many miles ​

A linear pair is formed of ∠1 and ∠2. The measures of the angle ∠1 is 20 and ∠2 is 160.

Given that,

A linear pair is formed of ∠1 and ∠2.

We have to find the measurements of both angles if m∠1 is eight more than m∠2.

When they refer to something as "linear," they mean that two angles create a straight line (or, 180 degrees). In other words, the two angles add up to 180.

Let us take the ∠1 as x

Then ∠2 will be 8x.

Now, we can write as

x+8x=180

9x=180

x=180/9

x=20

Therefore, the measures of the angle ∠1 is 20 and ∠2 is 8×20=160.

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Answer: 7.2 hours

Step-by-step explanation:

the interval for each number on the number line is 2.4 because 12 divide by 5 intervals = 2.4

and 2.4 x 3 = 7.2

First you need to find out how long it takes to cook a single kilogram of meat, by doing 12/5 you get 2.4 for one kilo of meat. Now you need to multiply 2.4 by 3 and you will get 7.2, so you can either put 7.2 hours or that converts to 7 hours and 12 minutes.

Answer:

Portuguese

Step-by-step explanation:

My brother-in-law lived in Cape Verde for 2 years, and he is fluent in Portuguese as a result.

Answer:

Portuguese is the official language of Cape Verde

Answer: y = 8x + 9

Step-by-step explanation: Descartes begins with only $9.00, so 9 is the y-intercept. He makes $8.00 every hour, so that is the slope.

y = mx + b

m is the slope, and b is the y-intercept.

y=8x + 9

The expression that represents the given situation is y = $49.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it isgiven that,

Descartes has Money = $9

Each hour earning = $8

Total time of work = 5 hours

So, total money earned in 5 hours = 8*5 = $40

Let y be the total money Descartes has.

So total money Descartes has = Money + total money earned in 5 hours

⇒ y = $9 + $40

⇒ y = $49

This is the required expression for the present situation.

Thus, The expression that represents the given situation is y = $49.

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The simplified form of the following expression is 51.3.

Given,

11(9²-5²)/(2²+8)

= 11(81-25)/(4+8)

= 11(56)/(12)

= 51.3

Expressions are simplified when they are rewritten in a concise manner and without any similar phrases. When simplifying an expression, we combine all similar terms and, if necessary, solve all of the supplied brackets, leaving just the, unlike words that cannot be further reduced.

Combining like terms together and leaving unlike terms alone is the fundamental principle for simplifying phrases. The following is a list of some of the guidelines for simplifying expressions:

Add the coefficients of two or more similar terms together, then include the common variable in the equation.

In the phrase a (b + c) = ab + ac, open the brackets using the distributive property.

Change the sign of all the phrases placed inside that bracket if there is a negative sign right outside the parenthesis to make things simpler.

Simply remove the bracket and put the words as they are, keeping the terms' original signs if there is a "plus" or other positive sign outside of it.

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Answer:

12 days for Bailey

2.4 days for Andrew

Step-by-step explanation:

If Andrew is 5 times as fast, then Andrew + Bailey are 6 times as fast as Bailey alone.

That means Bailey would take 2*6 = 12 days to paint alone.

Since Andrew is 5 times faster, he'd only take 12/5 = 2.4 days.

So probability that kayla rolls an even number on the red cube and a multiple of 3 on the blue cube is 16.66 ≈ 16%

Given that we have red number cube and blue number cube so as we all know that Probability is the ratio of the favourable number of outcomes to the total number of outcomes is known as Probability.

First, find the possible outcomes.

Kalya has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6

So, possible outcomes =6×6 =36

Let, S be the sample space.

Then, ⁿ(s) =36

Let, E = the event of getting an even number on the red cube and a multiple of  on the blue cube.

E = (2,3),(2,6),(4,3),(6,3),(6,6)

Then,  ⁿ(E)=6

Let, P  is the probability of the event .

So, P(E)= [tex]\frac{n(E)}{n(S)}[/tex] = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex] = 16.67 percent or 16[tex]\frac{2}{3}[/tex]  %

Thus, the probability Kayla rolls an even number on the red cube and a multiple of  on the blue cube is 16.66 percent.

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Answer:

16%

Step-by-step explanation:

The function g(x) is (|x-4| +1)/3.

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Answer: -72 I think

Step-by-step explanation:

Answer: Table  which had a constant of proportionality between y and x of 1/6

is table C

Step-by-step explanation:

The meaning of constant proportionality is very simple and that is

ratio of y and x

here

y/x=1/6;

therefore we have to check various options

checking option C

first part:

3/18=1/6;

second part:

(9/2)/27=1/6;(convert mixed fraction into improper fraction)

third part:

(11/2)/33=1/6;

hence ;

Table  which had a constant of proportionality between y and x of 1/6

is table C

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Answer:

9x8=72

Step-by-step explanation:

I didn't use a calculator I memorized it?

Answer: 28 units

Step-by-step explanation:

A=area of parallelogram. h=height. b=base

A=h*b

7=1/4 *b

(7=1/4 *b)*4    ==>Multiply both sides by 4 to get rid of fractions

28=b

b=28 units

Answer:

A packet of nuts costs $2.70

Step-by-step explanation:

Let C represent the cost of a bar of chocolate and P represent the cost of a packet of nuts

4 bars of chocolate will cost $4C

1 packet of nuts costs $P

Total price Sandra paid is $11.50

This can be represented using

4C + P = 11.50    (1)

A bar of chocolate costs $0.50 less than a packet of nuts. So

P - C =0.50  

-C + P = 0.50   (2)

Multiply eq (2) by 4 to get

-4C + 4P = 4 x 0.50

-4C + 4P = 2   (3)

Add equations (1) and (3) to eliminate the 4C term

4C + P - 4C + 4P = 11.50 + 2

P+4P = 13.50

5P = 13.50

Dividing by 5 on both sides

5P/5 = 13.50/5

P = 2.70

So a packet of nuts costs $2.70  (Answer)

To verify this is correct,

Use equation (2) to get

-C + P = 0.50

-C + 2.70 = 0.50

Add C to both sides

-C + 2.70 + C = 0.50 + C

2.70 = 0.50 + C

Subtract 0.50 from both sides

2.70-0.50 = 0.50 + C - 0.50

2.20 = C which is C= 2.20

Plug this value into equation (1)

4(2.20) + 2.70 = 8.80 + 2.70 = 11.50

So verified that answers are correct

The segment bisector of line segment XY is line n.

The length of the line segment XY is 6 units.

A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.

As per the given diagram in the question.

It is clear that the line segment XY is being divided by another line named n.

Thus,

The two segment of the line segment XY must be equal.

XM = MY

Substitute the values from the diagram;

5x + 8 = 9x + 12

Simplifying;

4x = -4

x = -1

Put the values in each segment;

XM = 5x + 8

XM = 5(-1) + 8

XM = 3 units.

Put the value in MY

MY = 9x + 12

MY = 9(-1) + 12

MY = 3 units.

As, it is clear from above values that the both segment are equal of 3 units each.

XY = XM + MY

XY = 3 + 3 = 6

Therefore, the value of XY is 6 units.

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m= 15

b= 45

y= 15x +45

Overall equation

The equation of a line in slope-intercept form is given by y= mx +b, where m is the slope and b is the y-intercept.

Slope, m

The slope is the measure of how steep the line is. It also defines how the y-axis changes with respect to the x-axis. The formula for finding slope is as shown below.

[tex]\boxed{\text{Slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]

where [tex](x_1,y_1)[/tex] is the first coordinate and [tex](x_2,y_2)[/tex] is the second coordinate

y-intercept, b

This is the y-value in which the line cuts through the y-axis (vertical axis).

Slope, m

Let's identify two pairs of coordinates on the line.

2 square units on the y-axis represent $30. Thus, 1 unit on the y-axis represents $15.

The 2 points are: (0, 45) and (5, 120)

Substitute the 2 points into the slope formula:

Slope

= [tex]\frac{120-45}{5-0}[/tex]

= [tex]\frac{75}{5}[/tex]

= 15

Thus, m= 15.

y-intercept, b

From the graph, the line cuts through the y-axis at y= 45.

Thus, b= 45.

Overall equation

Substitute m= 15 & b= 45 into y= mx +b:

∴ The equation of the line is y= 15x +45.

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She will spend 5 dollars extra if she only buys packs of 3 tickets.

A numerical expression is written in form of numbers and their operations.

According to the given question we can buy 15 tickets in two ways either buying 5 packs which contain 3 tickets and cost 6.25 dollars each pack or we can buy 3 packs which contain 5 tickets which costs 8.75 dollars.

For the first case if we buy 5 packs of tickets that contain 3 tickets it will cost (5×6.25) dollars = 31.25 dollars.

In the second case buying 3 packs of tickets that contain 5 tickets that will cost us (3×8.75) = 26.25 dollars.

∴ She will spend (31.25 - 26.25) = 5 dollars she will spend extra if she only buys packs of 3 tickets.

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Answer:

5 hours and 48 minutes

Step-by-step explanation:

The equation for finding average speed is:  [tex]\frac{\text{Total Distance}}{\text{Total Time}}[/tex]

Let x represent the distance for both the journey from Riley's college to home and back. We can use one variable to represent this because both distances are the same.

We also know that the total round trip took 12 hours. Let y represent the time it took for Riley to drive from college to home. Therefore the time it takes for Riley to drive from home to college is 12 - y.

Using this information, we can set up a system of equations.

[tex]65.1=\frac{x}{y}\\\\69.6=\frac{x}{12-y}[/tex]

Multiply both sides of the first equation by "y" and both sides of the second equation by "12 - y".

[tex]65.1y=x\\\\835.2-69.6y=x[/tex]

Since both 65.1y and 835.2-69.6y are equivalent to x, we can set them equal to each other.

[tex]65.1y=835.2-69.6y[/tex]

Now, we have to solve the equation for time or "y".

[tex]65.1y=835.2-69.6y[/tex]

Add 69.6y to both sides

[tex]65.1y+69.6y=835.2[/tex]

[tex]134.7y=835.2[/tex]

Divide both sides by 134.7

[tex]y\approx6.2 $ hours = Six hours Twelve Minutes[/tex]

This is the time it took for Riley to drive from college to home, therefore the time it took for Riley to drive from home back to college is:

[tex]12-6.2=5.8=5$ hours and 48 minutes[/tex]

5 hours and 48 minutes

Answer:

pretty sure it’s addition property of equality since you’re adding 5 to 10

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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The length of KL is 35 units

The given parameters are:

The above means that

JL = JK + KL

So, we have

5x - 8 + 9x + 2 = 12x

Evaluate the like terms

2x = 6

Divide by 2

x = 3

Substitute x = 3 in KL = 9x + 2,

KL = 9 x 3 + 8

Evaluate

KL = 35

Hence, the length of KL is 35 units

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Answer:

di mo po alam yan

oh di po kayo makain tindi tagalog

The values in percentages will be 37.7% and the maximum will be: 45.3%

From the information, the approximately 41.5% of city residents prefer local businesses over national chains and the survey had a margin of error of ±3.8%.

Therefore, the minimum number will be:

= 41.5% - 3.8%

= 37.7%

The maximum will be:

= 41.5% + 3.8%

= 45.3%

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Total path coered by the javelin in horizontal direction is domain

Maximum height achieved by the javelin is its range

The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x). The roots of the quadratic equation are the values of x that fulfill the equation (α,β ).

It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.

Total path coered by the javelin in horizontal direction is domain

Maximum height achieved by the javelin is its range

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The number of students from country C using mathematical operations is 113,115.

The mathematical operations are addition, subtraction, multiplication, and division.

These mathematical operations are used to determine the output value, given some input values.

The number of foreign students from country B = 138,000

Students from country B are 22% more than the number of students from country C.

Assume that the number of students from country C = 100%

Then the number of students from country B = 122% (100 + 22)

If the number of foreign students from country B is 138,000, which is 22% more, then the number of students from country C is as follows:

The number of students from country C = 113,115 (138,000/1.22)

Thus, the number of students from country C using mathematical operations is 113,115.

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This number is 22​% more than the number of students from country C.

Julie is correct because:

[tex]\frac{\sin A}{\tan A}=\frac{a/c}{b/c}=a/b=\tan A \\ \\ \frac{\sin B}{\cos B}=\frac{b/c}{a/c}=b/a =\tan B[/tex]

Answer:

Step-by-step explanation:

b=4c-s2

4(25)-9(2)

100-18=82

b=82

Answer: 4.5

Step-by-step explanation:

To break even, we need the total profit to be equal to 0. If we make x dollars in 2012, then we need to solve

2.5 + 1.75 + (-3.3) + (-1.4) + x = 0

This gives us x = 0.45 in thousands.

Since the question asks us to give the answer in hundreds, we multiply by 10 and get 4.5. Thus the profit in 2012 must be 4.5 (in hundreds) to break even.