the ratio of the measure of angle A to the measure of angle B is 3:2. find the measure of angle A.​

Answer:

A. y = –5x – 27

Step-by-step explanation:

You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.

y = –5x + 3

slope of the given line by comparing with y=mx+b is

m= - 5

Concept is that the slope of parallel lines are equal so we need a line with slope same as m=-5

and passes through point (-6,3)

Equation using the point slope equation

y-3 = -5 (x-(-6))

y-3=-5(x+6)

y-3= -5x-30

y= -5x -27

A

groceries has a higher population mean annual credit card charge

What is population mean?

A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.

The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

Given that Bank of America’s Consumer Spending Survey collected data on annual credit card  charges in seven different categories of expenditures: transportation, groceries, dining out,  household expenses, home furnishings, apparel, and entertainment (US Airways Attache,  December 2003).

Sample size n =42

Mean difference d = 850

Std dev s = 1125

Point estimate of the difference is 0

95% confidence level would be

= 0A ± tcritical * stderrror

=  A ± 2.021*173.59

= (-350.83 , 350.83)

Learn more about Population mean at :

https://brainly.com/question/28103278

#SPJ4

The mass of NaF that is required to make a standard 1 solution of 250 ml 0.1 M F- solution is 5.45 g of NaF. The number of moles in a solution is the concentration in moles per litre multiplied by the volume in litres.

To calculate the mass of a solute required, we need to first calculate the number of moles required. We can then use the molar mass of the solute to calculate its mass.To calculate the number of moles required in this question, we can use the formula:n = c × V where n is the number of moles, c is the concentration in moles per litre and V is the volume in litres. We have:c = 0.1 M

and V = 0.25 L

Substituting these values into the formula gives:n = 0.1 mol/L × 0.25 L

= 0.025 mol

Now we can use the molar mass of NaF to calculate its mass. The molar mass of NaF is 41.99 g/mol (22.99 g/mol for Na and 19.00 g/mol for F).

We have:n = 0.025 mol

solving for mass:m = n × M

where M is the molar mass of NaF.

Substituting gives:m = 0.025 mol × 41.99 g/mol ≈ 1.05 g

However, this is the mass required to make 0.25 L of solution. To make 1 L of solution, we would need to multiply the mass by 4. Therefore, the mass of NaF required to make a standard 1 solution of 250 ml 0.1 M F- solution is:1.05 g × 4 = 4.20 g Rounding this to two significant figures gives:4.2 g NaF.

To know more about number visit:

https://brainly.com/question/3589540

#SPJ11

Answer: theres no attachment

Step-by-step explanation:

Using the given value numbers, we can represent the number as 203,167.

To represent the given number using the value numbers 3, 80, 7, 30, 200,000, 3,000, and 50, we need to understand the place value system. In this system, each digit's position determines its value relative to the other digits in the number.

Let's break down the given value numbers:

3 represents the digit 3.

80 represents the digit 8 in the tens place and 0 in the ones place.

7 represents the digit 7.

30 represents the digit 3 in the tens place and 0 in the ones place.

200,000 represents the digit 2 in the hundred thousands place and all other digits as zeros.

3,000 represents the digit 3 in the thousands place and all other digits as zeros.

50 represents the digit 5 in the tens place and 0 in the ones place.

Now let's combine these value numbers to form a single number:

(200,000) + (3,000) + (80) + (30) + (7) + (50)

To simplify this expression, we can add up each component:

200,000 + 3,000 + 80 + 30 + 7 + 50 = 203,167

To know more about place value system refer here:

https://brainly.com/question/32789360#

#SPJ11

Answer:

125

Step-by-step explanation:

125 divided by 5 is 25, and 25 is 1/4 of 100

Answer:

125

Step-by-step explanation:

Answer:   width=8, length=24

Step-by-step explanation:

2(x+3x)=64

2x+6x=64

x=8

width (x)=8

length (3x)=24

perimeter=2(x+3x)=64

Answer:

the slope is 5. 5/1

Step-by-step explanation:

Use rise over run to find slope. It is the easiest way to find slope

You rise 5 and 1 to the right

Answer:

The slope is 5

Step-by-step explanation:

So you're just trying to find the slop. We're going to choose 2 points to use which are already marked on the graph.

(0, 2) and (-1, -3)

So to find the slope, we have to find (the difference in y) / (the difference in x)

So we're going to do

-3-2/-1-0

Which is

-5/-1

So since there are two negatives, it become positive, and it'll simplify into 5.

So the slope of the line is 5

Answer:

Ok, sabemos que Carlos ha construido un 3/7 de una casa.

Queremos saber cuanto le falta para terminar de construirla.

Entonces podemos realizar el cálculo:

1 casa - lo que Carlos ya construyo = Lo que le falta.

Entonces:

1 casa - 3/7 de una casa = X

Podemos reescribir:

1 casa = 7/7 de una casas

así tenemos:

7/7 de una casa  - 3/7 de una casa = X

(7/7 - 3/7) de una casa = X

4/7 de una casa  = X

Así podemos concluir que a Carlos le falta construir 4/7 de una casa para acabar.

Given in the question:

a.)

Answer:

-$84

Step-by-step explanation:

$-6 x $14 = -$84

Given the expression;

We can find the solution by simplifying the expression and factorizing the simplified expression to get the solutions.

We then factorize the quadratic expression above;

Therefore the solutions would give;

ANSWER: X=1 gives yes, x=-4 gives yes, the rest gives no

To find the total number of possible sandwiches, we need to multiply the number of choices for each ingredient.

Let's assume that the sandwich shop offers the following choices:

- 1 type of bread

- 1 protein option

- 1 cheese option

- 2 vegetable options

Then, the total number of possible sandwiches can be calculated as:

1 (bread) x 1 (protein) x 1 (cheese) x 2 (vegetables) = 2

Therefore, there are 2 possible sandwiches that can be made at this submarine sandwich shop, assuming that customers can only choose one type of bread, one protein option, one cheese option, and two vegetable options for their sandwich.

To know more about combination refer here:

https://brainly.com/question/15301090?#

SPJ11

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The angles are classified as: 1: alternate interior 2: None 3: corresponding 4: alternate exterior 5: corresponding.

Corresponding angles are angles in matching positions at the intersection of two parallel lines with a transversal, while alternate interior angles and alternate exterior angles are pairs of non-adjacent angles on opposite sides of the transversal.

Therefore, the angles are classified as:

Figure 1: alternate interior

Figure 2: None

Figure 3: corresponding

Figure 4: alternate exterior

Figure 5: corresponding

Learn more about corresponding angles on:

https://brainly.com/question/28769265

#SPJ1

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

To learn more about interest click here: brainly.com/question/30393144

#SPJ11

Answer:

1850 * 0.7^3 = 634.55

Step-by-step explanation:

Answer:

Amount Dan has = $17

Amount Ann has = $27

Amount Pablo has = $34

Step-by-step explanation:

Total amount they have = $78

Let

Amount Dan has = x

Amount Ann has = x + 10

Amount Pablo has = 2x

Total = Dan + Ann + Pablo

78 = x + (x + 10) + 2x

78 = x + x + 10 + 2x

78 = 4x + 10

78 - 10 = 4x

68 = 4x

x = 68/4

x = 17

Amount Dan has = x = $17

Amount Ann has = x + 10

= 17 + 10

= $27

Amount Pablo has = 2x

= 2(17)

= $34

Answer: 2x + 3y + 1

Step-by-step explanation:

That is your answer

Please give brainliest

In your daily routine, If you weight 200 pounds and need to drink 1L of water every day, it would take you 1 hour and 30 minutes to get through this amount (roughly 30 minutes less than if you weighed 180 pounds).

Water is the most important nutrient you can consume. This is because it helps your body with its normal functioning and helps to flush out toxins from your system. Water helps maintain the proper pH balance of your body by lowering high levels of acid in the blood. Water is the best source of hydration. It hydrates the body, maintains healthy cardiovascular system and helps fight off dehydration. Depending on your weight classification you need to drink around 1 gallon of water every day.

Learn more about Water, Visit:

https://brainly.com/question/13157972#

SPJ11

Answer:

5.172

Step-by-step explanation:

Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step

Divide 3 by 725. Write the remainder after subtracting the bottom number from the top number.

Bring down next digit 7. Divide 37 by 725. Write the remainder after subtracting the bottom number from the top number.

Bring down next digit 5. Divide 375 by 725. Write the remainder after subtracting the bottom number from the top number.

Bring down next digit 0. Divide 3750 by 725. Write the remainder after subtracting the bottom number from the top number.

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 1250 by 725. Write the remainder after subtracting the bottom number from the top number.

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 5250 by 725. Write the remainder after subtracting the bottom number from the top number.

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 1750 by 725. Write the remainder after subtracting the bottom number from the top number.

End of long division (upto 3 decimal places).

37.5 ÷ 7.25 = 5.172

If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

See more about supplementary angle at https://brainly.com/question/12919120.

#SPJ11

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

To know more about direct labor:

https://brainly.com/question/13126873

#SPJ4

The pair of equal trigonometric ratios among the given options is tan A and tan B.

To identify the pair of equal trigonometric ratios among the given options, we have to use the basic identities of trigonometry.

Basic identities of trigonometry:1. sin² θ + cos² θ = 1 (Pythagorean identity)2. tan θ = sin θ/cos θ3. cot θ = cos θ/sin θ4. sec θ = 1/cos θ5. cosec θ = 1/sin θ.

Now, let's check the given options,I. sin A and cos B: Not equal because sin is opposite/hypotenuse and cos is adjacent/hypotenuse in a right-angled triangle.II. tan A and tan B:

Equal because the tan is opposite/adjacent in a right-angled triangle. III. cosec A and sec B: Not equal because cosec is hypotenuse/opposite and sec is hypotenuse/adjacent in a right-angled triangle.

Therefore, the correct answer is (B) II only. Hence, the main answer is B. II only.

The pair of equal trigonometric ratios among the given options is tan A and tan B.

To know more about right-angled triangle visit:

brainly.com/question/12381687

#SPJ11

Answer:

1990.98

Step-by-step explanation:

:)

The numerical expression will be;

⇒ 5 × (67 + 86) = 765

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division

Given that;

The algebraic expression is,

''5 multiplied by the sum of 67 and 86''

Now,

Write the mathematical expression as;

''5 multiplied by the sum of 67 and 86''

⇒ 5 × (67 + 86)

⇒ 5 × 153

⇒ 765

Thus, The numerical expression will be;

⇒ 5 × (67 + 86) = 765

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

fifth gear is also rotating clockwise

Answer:

\(k = 1\)

Step-by-step explanation:

Given

\(3y = 5x + k\)

Opposite points: \((1,-2)\) and \((-2,1)\)

Required

Find k

First, calculate the midpoint of the opposite points.

\((x,y) = 0.5(x_1 + x_2,y_1 + y_2)\)

This gives:

\((x,y) = 0.5(1 -2,-2 + 1)\)

\((x,y) = 0.5(-1,-1)\)

Open bracket

\((x,y) = (-0.5,-0.5)\)

The equation \(3y = 5x + k\) becomes:

\(3 * -0.5 = 5 * -0.5 + k\)

\(-1.5 = -2.5 + k\)

Solve for k

\(k = 2.5-1.5\)

\(k = 1\)

Answer:

Blank 1. -2x+4

Blank 2. x+2

Step-by-step explanation: