Use intercepts to graph the line described by the equation.
7y=5x+35

Answer:

[tex] y = 8x + 16 [/tex]

[tex] x = 12 [/tex]

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format [tex] y = mx + b [/tex].

Where,

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

[tex] (0, 16) = (x_1, y_1) [/tex]

[tex] (3, 40) = (x_2, y_2) [/tex]

[tex] slope (m) = \frac{40 - 16}{3 - 0} [/tex]

[tex] slope (m) = \frac{24}{3} [/tex]

[tex] slope (m) = 8 [/tex]

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

[tex] y = mx + b [/tex]

[tex] 16 = 8(0) + b [/tex]

[tex] 16 = 0 + b [/tex]

[tex] 16 = b [/tex]

[tex] b = 16 [/tex]

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

[tex] y = mx + b [/tex]

[tex] y = 8x + 16 [/tex]

Let's use the equation to find x when y = 112.

[tex] y = 8x + 16 [/tex]

Substitute y = 112 in the equation

[tex] 112 = 8x + 16 [/tex]

[tex] 112 - 16 = 8x [/tex]

[tex] 96 = 8x [/tex]

Divide both sides by 8

[tex] 12 = x [/tex]

[tex] x = 12 [/tex]

Answer:

If they are seperate numbers then it would be

47,582 and 162,315

If they are the same number it would be 47,582,162,315

Answer:

(-6)(+5-5) is the answer

Answer:

154×5×100=770×100=77000

look at the picture above for the answer with process

Answer:

hey, i hope you are having a wonderful day.

Step-by-step explanation:

Answer:

Cindy uhh, I can't really see the figures well but I think you'll insert the x and y values into the function given and solve for A, B and C simultaneously.

where you see f(x), put in there the y value of the point and where you see x , put in the x value of the point.

Also ,you can nullify A and B to get C first . You can do that by putting zero in place of x and putting it's correspondent on the y axis into f(x)

Answer:

Step-by-step explanation:

1 and 3 are 128

4 is 52

2 and 6 are 136

5 is 44

7 and 10 are 74

9 and 8 is 106

13 and 18 equals 52

14 and 17 is 128

12 and 15 is 44

11 and 16 is 136.

Answer:

answer is A

Step-by-step explanation:

Answer:

8x21 (i think this is it..)

Step-by-step explanation:

If it is 8 x (14+7)=? + (8 x 7), then it should be (8 x 14)+ (8 x 7), which is the distributive property of multiplication. There, the 8 is multiplied by each of the terms in the parentheses and the two products are added. That answer is 112+56=168, which is 8 x 21.

Answer:

$60 per week

Step-by-step explanation:

Mark me brainliest if possible

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Answer: $97.524

Step-by-step explanation:

First let's calculate the price after the tax rate:

converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)

Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524

Answer:

Differential equation: [tex]\frac{dA}{dt} = k\cdot A(t)[/tex], [tex]k < 0[/tex], [tex]k = -\frac{1}{\tau}[/tex], [tex]\tau > 0[/tex].

Solution: [tex]A(t) = A_{o}\cdot e^{-\frac{t}{\tau} }[/tex]

Step-by-step explanation:

Let suppose that rate of change of the amount of Carbon-14 atoms are directly proportional to the current amount of Carbon-14 atoms. That is:

[tex]\frac{dA}{dt}\propto A(t)[/tex]

[tex]\frac{dA}{dt} = k\cdot A(t)[/tex]

Where:

[tex]A (t)[/tex] - Amount of Carbon-14 atoms, dimensionless.

[tex]k[/tex] - Proportionality constant, measured in [tex]\frac{1}{yr}[/tex].

[tex]k[/tex] must be negative as death rate is constant and birth rate is zero. ([tex]k< 0[/tex]). Dimensionally, we can rewritte this constant as following:

[tex]k = -\frac{1}{\tau}[/tex]

Where [tex]\tau[/tex] is the time constant ([tex]\tau > 0[/tex]), measured in years.

We can find the solution of the ordinary differential equation by separating each variable:

[tex]\frac{dA}{dt} = -\frac{1}{\tau}\cdot A[/tex]

[tex]\int {\frac{dA}{A} } = -\frac{1}{\tau} \int \, dt[/tex]

[tex]\ln A(t) = -\frac{t}{\tau} + C[/tex]

[tex]A(t) = e^{-\frac{t}{\tau}+C }[/tex]

[tex]A(t) = e^{C}\cdot e^{-\frac{t}{\tau} }[/tex]

[tex]A(t) = A_{o}\cdot e^{-\frac{t}{\tau} }[/tex]

Where [tex]A_{o}[/tex] is the initial amount of atoms of Carbon-14.

Answer:  x = 2, y = -1

-------------------------------

Answer:

  4x +7y

Step-by-step explanation:

(8x +10y) +(-4x -3y) = x(8 -4) +y(10 -3) = 4x +7y

__

Combine like terms. Pay attention to signs.

The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be independent or dependent. A dependent variable depends on other variable while an independent variable does not depend on other variable.

Let x represent the money invested in growth fund, y represent that of income fund and z represent that of money market fund.

$5000 was invested, hence:

x + y + z = 5000     (1)

Also:

0.12x + 0.08y + 0.05z = 5450 - 5000       (2)

Your teacher invested twice as much in the income fund as in the money market fund:

y = 2z    (3)

From the three equations:

x = 2000, y = 2000, z = 1000

The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.

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53 years for the Population of the United States to reach 300 million people according to this model.

The recursive formula of the population of the United States is given by ao = an1.015a - 1

Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)

where a0 is the population of the United States in 1910 (92.2 million people) .

Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)

To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300

Dividing both sides by 92.2, we get1.015t = 3.2596

Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2

Therefore,  approximately 53 years for the population of the United States to reach 300 million people according to this model.

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Answer:

smsmsmandkjenkj

um

Answer:

Your answer is

-2r-7

Step-by-step explanation:

Hope this helps!

Answer:

-2r-7

Step-by-step explanation:

Answer:

it is 60 my guy

Step-by-step explanation:

Answer:  LCM = 60

Step-by-step explanation:

                6             20  

× 1             6              20

× 2           12              40

× 3           18              60

× 4           24

× 5           30

× 6           36

× 7           42

× 8           48

× 9           54

× 10          60

Answer: - 19

Step-by-step explanation:

Answer:

-19 is the answer

Step-by-step explanation:

Answer:

m∠4 and m∠2 = 81 degrees, m∠3 is 99 degrees

Step-by-step explanation:

180 - 99 = 81, therefore m∠4 and m∠2 are 81 degrees

Since 1 is 99 degrees, m∠3 is 99 degrees too.

I hope this helped, please mark Brainliest, thank you!

Answer:

Angle 1 = 99

Angle 2=81

Angle 3=99

Angle 4=81

Step-by-step explanation:

Angle one is given with this we can conclude angle 3 as they are vertical of each other.

Angle two can be seen as the sum of Angles 1 and 2 equal 180 as angle 1 is 99 we may assume angle two is 81.

Angle four is the vertical of angle two so it is 81 as well.

Not positive of this answer as I'm in geometry but I tried.

Best of luck mate

Answer:

Step-by-step explanation:

69

Answer:

Rs 36 600

Step-by-step explanation:

PRT/100

P is the principle

R is the rate of interest

T is the time taken

30 000 * 2 * 11

=660 000/100

= 6600 is the amount of interest charged after the 2 years

now to find the total amount received after the 2 years

= 6600 + 30 000 =36600

To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

Answer: Debit salaries expense 3920

Credit salaries payable 3920

Step-by-step explanation:

Note that the total amount that the company will pay to the employees on Monday, January 6, 2020, is approximately $1,166.69.

Based on the given information, we can calculate the total amount that the company will pay to the employees on Monday, January 6, 2020.

The company has 15 employees, and they earn a total of $2,500 in salaries each working day. Therefore, the daily salary per employee is $2,500 divided by 15, which is approximately $166.67.

From December 31, 2019, to January 6, 2020, there are a total of 7 days, including New Year's Day, which is a paid holiday.

The employees worked the first two days of that week (December 31 and January 1), which means they will be paid for those two days.

On January 6, 2020, the employees will be paid salaries for five full days, which includes the remaining three days of the previous week and the upcoming week.

To calculate the total amount paid on January 6, 2020, we add the salary for the two worked days and the salary for the five full days:

Total amount paid = (Salary per day * 2) + (Salary per day * 5)

= ($166.67 * 2) + ($166.67 * 5)

≈ $333.34 + $833.35

≈ $1,166.69

Hence, the total amount that the company will pay to the employees on Monday, January 6, 2020, is approximately $1,166.69.

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Answer:

-3

Step-by-step explanation:

use the power rule to solve this

Answer:

Sarah's Store

Step-by-step explanation:

Sorry it took a long time.

Answer:

Thor is the best deal.

Step-by-step explanation:

Thor is $10.35, Lemon is $11.73, Patrick is $14.66, and Sarah is $16.63.

For Thor, multiply $1.15(2)=$2.30. Then multiply $1.15(7)=$8.05. Add these together to get $10.35.

For Lemon, multiply 17($1.15)=$19.55. Then subtract by $7.82 to get $11.73.

For Patrick, use the equation we already did 17($1.15) and subtract $4.89 from it to get $14.66.

Last, For Sarah multiply our $19.55 (.15) to find 15% and get 2.934. Then subtract $19.56 - 2.934 to get $16.626. Round to $16.63.

Hope this helped!

Answer:

[tex] -2\frac{7}{9} [/tex]

Step-by-step explanation:

Given,

[tex] -3\frac{1}{3} \div 1\frac{1}{5} [/tex]

First, change the mixed fraction into improper fraction

[tex] -\frac{10}{3} \div \frac{6}{5} [/tex]

Flip the fraction on your left upside down, and change the operation from division to multiplication

[tex] -\frac{10}{3} \times \frac{5}{6} [/tex]

Multiply both fractions together

[tex] -\frac{10 \times 5}{3 \times 6} [/tex]

[tex] -\frac{50}{18} [/tex]

Simplify

[tex] -\frac{25}{9} [/tex]

[tex] -2\frac{7}{9} [/tex]