Please help me solve this I’ll give you brainliest!

Answer:

1

Step-by-step explanation:

The GCF of 15 : 1, 3, 5, 15

The GCF of 647 : 1, 647

The only GCF that was on both lists was 1

The altitude of the triangle is 1/6 units,

To calculate the altitude of the triangle formed by the given lines, we need to find the distance between the base of the triangle and the vertex opposite to it.

First, let's find the coordinates of the vertices of the triangle. We can start by finding the intersection points of the lines forming the sides of the triangle:

Line 1: 3x + 2y - 10 = 0

Line 2: x + 6y - 10 = 0

Solving these two equations simultaneously will give us the coordinates of the vertices.

Solving Line 1 and Line 2:

3x + 2y - 10 = 0

x + 6y - 10 = 0

Multiplying the second equation by 3, we get:

3(x + 6y - 10) = 0

3x + 18y - 30 = 0

Now we have two equations:

3x + 2y - 10 = 0

3x + 18y - 30 = 0

Subtracting the first equation from the second equation:

(3x + 18y - 30) - (3x + 2y - 10) = 0

16y - 20 = 0

16y = 20

y = 5/4

Plugging the value of y into the first equation:

3x + 2(5/4) - 10 = 0

3x + 5/2 - 10 = 0

3x - 10/2 = 0

3x - 5 = 0

3x = 5

x = 5/3

So one vertex of the triangle is at (5/3, 5/4).

Now, let's find the equation of the line forming the base of the triangle:

By simplifying the given equation: 6x - 8x + 3 = 0

-2x + 3 = 0

-2x = -3

x = 3/2

So the base line has the equation x = 3/2.

To calculate the altitude, we need to find the perpendicular distance from the vertex (5/3, 5/4) to the base line x = 3/2. The perpendicular distance is the shortest distance between the vertex and the base.

The shortest distance between a point and a line can be found using the formula:

Distance = |Ax + By + C| / sqrt(A^2 + B^2)

For the equation x = 3/2, we can rewrite it as 2x - 3 = 0, which represents the line x - (3/2) = 0.

Comparing this with the general equation Ax + By + C = 0, we have A = 2, B = 0, and C = -3.

Now, substituting the values into the formula for the perpendicular distance:

Distance = |2(5/3) + 0(5/4) - 3| / sqrt(2^2 + 0^2)

Distance = |10/3 - 3| / sqrt(4)

Distance = |10/3 - 9/3| / 2

Distance = |1/3| / 2

Distance = 1/6

Hence, the altitude of the triangle is 1/6.

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Answer:

4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.

So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).

Step-by-step explanation:

The couple should withdraw approximately $1,120.28 each month for a period of 10 years in order to deplete the account balance to zero by the end of the term.

To calculate the monthly withdrawal amount for the couple, we can use the concept of an annuity.

Principal amount (P) = $200,000

Interest rate (r) = 8.4% per year = 8.4/100 = 0.084

Number of compounding periods per year (n) = 12 (monthly compounding)

Number of years (t) = 10

The formula for calculating the monthly withdrawal amount from an annuity is:

Withdrawal Amount \(= P \times (r/n) / (1 - (1 + r/n)^{(-n\times t)})\)

Plugging in the given values, we get:

Withdrawal Amount \(= $200,000 \times (0.084/12) / (1 - (1 + 0.084/12)^{(-12\times 10)})\)

Now, let's calculate it step by step:

Calculate the value inside the parentheses:\((1 + 0.084/12)^{(-1210)}\)

(1 + 0.084/12) = 1.007

(-1210) = -120

\((1.007)^{(-120)\) ≈ 0.433

Substitute the value into the formula:

Withdrawal Amount \(= $200,000 \times (0.084/12) / (1 - 0.433)\)

Simplify the denominator:

Withdrawal Amount \(= $200,000 \times (0.084/12) / 0.567\)

Perform the division:

Withdrawal Amount ≈ $1,120.28

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Answer:

The sweater was 30% off

Step-by-step explanation:

To find this answer you need to simply dived 15  ÷ 50 to get the answer of 0.3 and 0.3 as a percent would be 30 making the sweater 30% off

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

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Step-by-step explanation:

\((8 - 12) \times (8 \times 4) + {7}^{2} \\ \)

\(( - 4) \times (32) + 49\)

\( -12 8 + 49 =79 \)

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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The system of equations has an infinite number of solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

3x + 2y = 6 ____(1)

6x + 4y = 12 _____(2)

Applying the substitution method.

3x + 2y = 6

x = (6 - 2y)/3 in (2)

6 (6 - 2y)/3 + 4y = 12

2 (6 - 2y) + 4y = 12

12 - 4y + 4y = 12

12 = 12

This means,

It has an infinite number of solutions.

Thus,

An infinite number of solutions.

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The complete question is:

Graph the system of equations

3x + 2y = 6

6x + 4y = 12

and find the solution to the system.

Step-by-step explanation:

h = 5

y = 8

=> 7hy² + y

=> 7 × 5 × 8² + 8

=> 35 × 64 + 8

=> 2240 + 8

=> 2248

The probability of selecting a 3 both times is  1/200

From the question, we have the following parameters that can be used in our computation:

Set 1 = 0 to 9

Set 2 = 0 to 19

The probability of selecting 3 in each set is

P(Set 1) = 1/10

P(Set 2) = 1/20

So, the required probability is

P = 1/10 * 1/20

Evaluate

P = 1/200

Hence, the value is 1/200

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Answer:

36m^2

Step-by-step explanation:

3*2+ 3*4/2 *2 + 4*2 + 5*2

= 6+12+8+10

= 36

Answer:

Step-by-step explanation:

Answers Below

1) = 1/5

2) = 1/4

3) = 3/20

4) = 2/25

5) = 1/3

Please Brainly

Answer:

i)1/5

ii)1/2

iii)3/20

iv)1/3

Step-by-step explanation:

Just keep eliminating in all sums as we are multiplying and u will get the ans.

Pls mark me brainliest

Answer:

-5

Step-by-step explanation:

g(x)=x^2+4x-5

g(-4)=(-4)^2+4(-4)-5

g(-4)=(-4)(-4)+(-16)-5

g(-4)=16-16-5

g(-4)=0-5

g(-4)=-5

The total amount to be paid on a 9 year, $60,500 loan at 7.3% p.a. is $100248.50.

It should be noted that simple interest is calculated as:

Interest = Principal × Rate × Time / 100

Interest = 60500 × 7.3 × 9 / 100

Interest = $39748.50

It should be noted that the amount will be the addition of the principal and the interest. This will. be:

= Principal + Interest

= $60500 + $39748.50

= $100248.50

The amount is $100248.50.

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Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

Answer:

the median is increased from 7 to 7.5

Answer:

Let the amounts be 2x and 3x.

Then 2x+3x=60

So, 5x=60

So, x=60/5=12

So, amounts are

2x=2*12=24

And 3x=3*12=36

Hope this helps you!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In the slope-intercept form (y=mx+c), the coefficient of x is the slope and c is the y-intercept.

g(x)= -6x +3

Slope= -6

y- intercept= 3

f(x)

y- intercept is the point at which the graph cuts through the y- axis, and it occurs at x= 0.

The two points on the graph are (0, 3) and (1, 1).

slope

\( = \frac{y1 - y2}{x1 - x2} \)

\( = \frac{3 - 1}{0 - 1} \)

\( = \frac{2}{ - 1} \)

= -2

y- intercept= 3

Thus, both have different slopes but the same y-intercepts.

Answer:

A

The slopes are different but the y-intercepts are the same

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

By the alternate interior angles theorem,

\(4x=2x+20\\2x=20\\x=10\)

The difference (in °F) between the average temperature at 12,000 ft and the average temperature at 20,000 ft is 35°F.

It should be noted that the average temperature at 12000ft is 50°F and the average temperature at 20000 ft is 85°F.

Therefore, the difference (in °F) between the average temperature at 12,000 ft and the average temperature at 20,000 ft will be:

= 85 - 50

= 35°F

Therefore, the difference in temperature is 35°C.

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The average temperature at 12000ft is 50°F and the average temperature at 20000 ft is 85°F. What is the difference (in °F) between the average temperature at 12,000 ft and the average temperature at 20,000 ft?

Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

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Answer:

38.5

Step-by-step explanation:

rectangle = (2.5x2)+1.5=6.5

6.5x5=32.5

both triangle = 4/2 = 2

(1.5x2)x2=6

total area = 32.5 + 6 = 38.5

Answer:sorry I don’t speak proeze najsztbsza but do you know the way

Step-by-step explanation:

Based on the total costs of buying at the two stores, it is not worth the extra drive going to the store across town.

The total costs for buying 5 pounds of chicken at each store are added to the total gas costs to and from each location to determine the total costs of each option.

Based on the cost difference of $1 ($18.34 - $17.34), it is not advisable to travel across town just for 5 pounds of chicken, especially when you factor in the wear and tear of the car along the distance and the time difference.

The cost of a pound of chicken at a neighborhood store = $2.99

The cost of a pound of chicken at the store across town = $3.29

The number of pounds of chicken required = 5 pounds

The distance to and from the neighborhood store = 4.6 miles (2.3 miles x 2)

The distance to and from the store across town = 17.6 miles (8.8 miles x 2)

The total time to and from the neighborhood store = 14 minutes (7 x 2)

The total time to and from the store across town = 42 minutes (21 x 2)

The time difference = 28 minutes.

Car's mileage per gallon = 19 mpg

The cost of gas per gallon = $3.66

The total cost of buying at the neighborhood store = $17.34 ($3.29 x 5 + $3.66 x 4.6/19)

The total cost of buying at the store across town = $18.34 ($2.99 x 5 + $3.66 x 17.6/19)

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