Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Mr. Long is contemplating which chauffeured car service to take to the airport. The first costs $3 up front and $4 per mile. The second costs $19 plus $2 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance? What is the total fare?

Answer:

y=x+2

Step-by-step explanation:

x-13y=26

Bring the x to the other side

-13y=x+26

To get y by itself divide both sides by -13

-13y       =    x-26

-----------     -----------

   -13              -13

y=x+2

Answer:

the largest angle is 150°

The solution to the differential equation in this problem is given as follows:

y(t) = Ae^(3t) + Be^(2t).

The differential equation for this problem is given as follows:

y'' - 5y' + 6 = 0.

It is a simple linear and homogeneous second order differential equation, hence it can be solved with the characteristic equation method.

The characteristic equation for the differential equation is given as follows:

r² - 5r + 6 = 0.

The roots for the characteristic equation are obtained by finding the linear factors and using the factor theorem as follows:

(r - 3)(r - 2) = 0.

Hence:

These are real and non-repeated roots, hence the solution is given as follows:

y(t) = Ae^(3t) + Be^(2t).

In which A and B are constants depending on the initial conditions for the differential equation.

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Answer:

49 times

Step-by-step explanation:

You can divide 745.3 by 15 to see that 49 fifteens will fit in 745.3

Answer:

49 times

Step-by-step explanation:

745.3 / 15 = 15.68666...

Which translates to 15 times.

Answer:

They're not equal!

Step-by-step explanation:

1.) Another way we can write ratios is in fraction form. This would be 2/12 and 6/24.

2.) Next, we can simplify these fractions. 2/12 simplifies to 1/6 (we just divided the numerator and the denominator by 2).

6/24 simplifies to 1/4 (we divided the numerator and denominator by 4)

3.) Finally, we can compare. Is 1/6 equal to 1/4? No! In fact, 1/6 is less than 1/4 because one part out of six is much smaller than one part out of four!

Answer:

535 is not equal to 360

Step-by-step explanation:

the total interior angle = 360 degree

180-80=100

180-80=100

180-75=105

180-70=110

180-60=120

100+100+105+110+120= 535 which is not equal to 360. Since the total interior angle is not 360, Jay's measurements are wrong .

Answer:

the answer is c

Step-by-step explanation:

5/8-3/8 is 1/4 + 2 is 2 1/4 then put into improper fraction

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

Answer:

60

Step-by-step explanation:

Asked google for 75% of 80

Answer:

60 cargo planes

Step-by-step explanation:

80 x 75% = 60

plz give me brainliest i lost all my brainliest for some reason.

Answer:

My logical answer is repeat the first survey with different 25 different students

Step-by-step explanation:

The indicates 9 of 25 students surveyed chose her. To determine if her calculation is accurate she needs more survey(s).

How many surveys or the size of sample group could matter.  If she surveys 3 more people, that would not be very accurate.

If she surveys 100 student that would give a better idea of how many students  would vote for her, so I THINK she should repeat the first survey with the same number in the sample size, 25.

Answer: N= 12

Step-by-step explanation: if you follow PEMDAS, you take (4^3)^4 and multiply 3*4 which is 12.

Because the base of 4^12=4^n is the same you leave it alone and N is equal to 12

Answer:

Hi

Please mark brainliest ❣️

Thanks

Answer:

83.08

Step-by-step explanation:

this means that they want only two numbers after the decimal point

if the number is up to five round it up and call it one the add it to the number before it

hope it helps

83.08 is the correct notation of 83.07718 to two decimal places.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

To write a number correctly to two decimal places, you need to look at the third decimal place digit.

If this digit is 5 or greater than 5, you will need to round up the second decimal place digit by adding 1 to it.

If this digit is less than 5, you simply leave the second decimal place digit as it is.

In the case of 83.07718, the third decimal place digit is 7, which is greater than 5. Therefore, we need to round up the second decimal place digit (7) by adding 1 to it, resulting in 83.08. This is the number written correctly in two decimal places.

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Answer:

I think the answer is 288.

Step-by-step explanation:

The measure of angle C is of m<C = 66º, using bisection and sum of the internal angles of a triangle.

The bisection of an angle is when a segment divides an angle into two angles of equal measure. Hence, since angle A has a measure of 66º, the measures are as follows:

The triangle at the right of the figure has these following angles:

The sum of the measures of the internal angles of a triangle is of 180º, hence:

81 + 33 + m<C = 180

114 + m<C = 180

m<C = 180 - 114

m<C = 66º.

The diagram is given by the image at the end of the answer.

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Answer:

3000 + 900 + 40 + 5

Step-by-step explanation:

(3 x 1000) + (9 x 100) + (4 x10) + (5 x 1) = 3000 + 900 + 40 + 5

Answer:

a. geometric series

b. r_n = 100 × (0.75)^n ft

c. 400

Step-by-step explanation:

a.

Start: 100 ft

After 1 hour: 75% of 100ft = 100 ft × 0.75

After 2 hours: 75% of 100ft × 0.75 = 100 ft × 0.75²

After 3 hours: 75% of 100 ft × 0.75² = 100 ft × 0.75³

Notice what is happening to the radius as the hours pass.

With each passing hour, the radius is 0.75 times the previous radius.

Since each new term is the previous term multiplied by a constant, 0.75, this is a geometric series.

b.

At each hour, multiply 100 ft by 0.75 raised to the number of the hour.

a_n = 100 × (0.75)^n ft

The nth term is 100 times 0.75 to the nth power.

c.

The sum of all the radii is the sum of a series that has 100 as its first term, and each subsequent term is 0.75 times the previous term.

r_n = 100(0.75)^n

Since the constant ratio has an absolute value less than 1, the series has a sum.

S = a_1/(1 - r)

S = sum of infinite series

a_1 = first term

r = constant ratio

S = 100/(1 - 0.75)

S = 100/0.25

S = 400

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

D

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf -1 \frac{7}{8} }\)

Step-by-step explanation:

-1.875

Since there are 3 digits after decimal point, we will omit the decimal point by putting a 1000 in the denominator ( 1000 has 3 zeroes just as there were 3 digits after the decimal point.)

So, It'll become:

= \(\sf -1 \frac{875}{1000}\)    [Dividing by 125 as it is it's GCF]

= \(\sf -1 \frac{7}{8}\)

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

11 1/4

Step-by-step explanation:

9/2/4/10

9/2/2/5

9/2*5/2

45/4

11 1/4

Final Answer:

45/4

Step-by-step explanation:

9/2 ÷ 4/10

90/8 ⇒ 45/4

The relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.

Translations is a transformation technique that changes the position of an object from one point on the plane to another.

Given the function below

g(x) = (x − 2)^3 + 6

The function compared to f(x) = x^3, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up

Hence the relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.

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Answer:

g(x) is shifted 6 units to the left and 2 units down.

Step-by-step explanation:

took the test

The  function f(x) = (x² - b²)/(x - b), does not have any points of discontinuity. It is continuous for all real values of x, except when x = b where it is defined.

To determine if the given function, f(x) = (x² - b²)/(x - b), has any points of discontinuity, we need to examine the behavior of the function when x approaches the value of b.

In this case, if we evaluate the function directly at x = b, we get an indeterminate form of 0/0. This suggests that there might be a potential point of discontinuity at x = b.

To further investigate, we can simplify the function by factoring the numerator as the difference of squares:

f(x) = [(x - b)(x + b)] / (x - b).

f(x) = x + b.

From this simplification, we can observe that when x approaches b, the function f(x) becomes x + b.

This means that there is no longer an indeterminate form at x = b, and the function is continuous at x = b.

Therefore, the function f(x) = (x² - b²)/(x - b), does not have any points of discontinuity. It is continuous for all real values of x, except when x = b where it is defined.

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If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

Answer:

7 1/2

Step-by-step explanation:

Convert 7 1/2 to a decimal then multiply it by 1.6 to get 12.00 then add 48 to get 60.

P.S i got it right

A paired t-test can be used to determine if there is a difference between the means of the two groups.

YES.

A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.

In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.

By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.

Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.

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Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.