Sarah has 4/7 pounds of flour. She is splitting the flour into 5 containers
with the same amount in each container. How much flour will be in each
container? *

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

Answer:

Unlikely

Step-by-step explanation:

50/50 means that there is half a chance to loose a turn or 6/12 which is not the case.

Certain is definitely not correct as there is only 1/12 of a chance.

And impossible is not possible because it would have to be 0/12. There is still a chance to loose a turn with 1/12

Answer:

Negative times a negative equals a positive

25x + 30x

55x

Answer: In nine years she will owe $40,977.37

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer:

Step-by-step explanation:

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I answered it here.

Given:

The list price for a boat is $5500.

The cost to the retailer is $3850.

Required:

We need to find the trade discount rate.

Explanation:

Consider the trade discount rate formula.

Substitute list price=5500 and selling price =3850 in the formula.

Final answer:

Answer:

2 gallons

Step-by-step explanation:

If Han used 1 1/2 gallons of paint to paint 3/5 of a shed, this can be expressed as;

1 1/2 gallons = 3/5 of the shed

3/2gallons = 3/5 of the shed

To find the number of gallons that will paint the whole shed, we will say;

x gallons = 1 shed

Divide both expressions

3/2/x = 3/5

3/2x = 3/4

2x * 3 = 3*4

6x = 12

x = 12/6

x = 2

Hence 2 gallons will be needed for the whole shed

Answer:

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

The segment GI contains both GH and HI.

Using the segment addition postulate we set up an equation:

Substitute to get:

So the value of x is 9.

Answer: its the Laurel girl :)

Step-by-step explanation: I got it right.

Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate option (B) is correct.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

We have a statement:

Who is most likely to get a good credit card rate based on their credit-to-debt ratio?

As we know,

Credit-to-debt ratio = Credit card balance ÷ Credit limit

A. Darius has a credit limit of $6,000 and a balance of $1,200.

Credit-to-debt ratio = 1200/6000 = 0.2 or 20%

B. Laurel has a credit limit of $5,000 and a balance of $500.

Credit-to-debt ratio = 500/5000 = 0.1 or 10%

C. Lenore has a credit limit of $10,000 and a balance of $3,500.

Credit-to-debt ratio = 3500/10000 = 0.5 or 35%

D. August has a credit limit of $2,000 and a balance of $300.

Credit-to-debt ratio =  0.15 or 15%

As we can see Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate.

Thus, Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate option (B) is correct.

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Answer:

y = \(\frac{1}{3}\) x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x - 10 ← is in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-3}\) = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (9, - 2 ) into the partial equation

- 2 = \(\frac{1}{3}\) (9) + c = 3 + c ( subtract 3 from both sides )

- 5 = c

y = \(\frac{1}{3}\) x - 5 ← equation of perpendicular line

Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

De el modelo lineal, hay que:

a) El precio de venta es de $2,100.

b) Si depen producir y vender 8.57 desayunos para no tener ni ganancias ni pérdi- das.

c) El nuevo benecio es $1,840.

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

Un modelo lineal tiene el seguiente formato:

\(y = mx + b\)

Costo constante mensual de $12000.

O sea, \(b = 12000\)

Puesto que:

\(C(x) = mx + 12000\)

El costo total de fabricación de 10 desayunos  es $19000.

O sea, cuando \(x = 10, C = 19000\), y usa-se esto para encontrar m.

\(19000 = 10m + 12000\)

\(10m = 7000\)

\(m = 700\)

Entonces, la función del costo es:

\(C(x) = 700x + 12000\)

Item a:

El costo de 16 servicios es:

\(C(16) = 700(16) + 12000 = 23200\)

Benecio de $10,400, o sea, las ganancias fueran de 23200 + 10400 = 33600.

El precio de venta es:

\(p = \frac{33600}{16} = 2100\)

De modo que la ganancia de la venta de x servicios es:

\(G(x) = 2100x\)

Item b:

Para esto, hay que:

\(G(x) = C(x)\)

\(2100x = 700x + 12000\)

\(1400x = 12000\)

\(x = \frac{12000}{1400}\)

\(x = 8.57\)

Si depen producir y vender 8.57 desayunos para no tener ni ganancias ni pérdi- das.

Item c:

El costo de 8 desayunos es:

\(C(8) = 700(8) + 12000 = 17600\)

Bajando el costo en 15%, sera 85%, o sea:

\(0.85(17600) = 14960\)

La ganancia es:

\(G(8) = 2100(8) = 16800\)

Lo benecio es:

\(B(8) = G(8) - 0.85C(8) = 16800 - 14960 = 1840\)

El nuevo benecio es $1,840.

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Answer:

very

Step-by-step explanation:

my brain is very smooth

A taxpayer's taxable income is reduced by the standard deduction. It makes sure that only families who make more than a specific amount of money will have to pay income tax. When submitting their tax returns, taxpayers have the option to take the standard deduction, which lowers their taxable income and the amount of taxes they must pay.

You might have to spend more time on your tax return. If you itemize, you'll need to set aside extra time when preparing your returns to fill out the big enchilada of tax forms: the Form 1040 and Schedule A, as well as the supporting schedules that feed into those forms.

Add up your itemized deductions and compare the total to the standard deduction available for your filing status. If your itemized deductions are greater than the standard deduction, then itemizing makes sense for you. If you're below that threshold, then claiming the standard deduction makes more sense.

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Answer:

hypotenuse = 13.0 cm

Step-by-step explanation:

Given the dimensions of a right triangle whose legs have measures of 13 cm and 1 cm, we can use the Pythagorean Theorem to find the measure of the triangle's hypotenuse.

The Pythagorean Theorem states that the squared measure of a right triangle's hypotenuse is equal to the sum of the squared lengths of its legs. In other words:

Pythagorean Theorem:   c² = a² + b²

Let c = hypotenuse

     a  =  Leg₁   = 1 cm

    b  =  Leg₂  =  13 cm

Substitute these values into the given formula to find the measure of the hypotenuse, c:

c² = a² + b²

c² = ( 1 )² + (13)²

c² = 1 + 169

c² = 170

Next, take the square root of c² and 170 to isolate c:

\(\displaystyle\mathsf{\sqrt{c^2}\:=\:\sqrt{170}}\)

c = 13.04 or 13.0 cm

Therefore, the length of the hypotenuse is 13.0 cm.

Since it doesn't make sense for Timothy to have negative money, we can conclude that there is no solution to this problem.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's assume that Timothy has x dollars when he enters the first store.

According to the problem, he spends 1 dollar more than half of what he has.

So, the amount he spends in the first store is:

1/2 * x + 1

After spending this amount, he will have:

x - (1/2 * x + 1) = 1/2 * x - 1

dollars left.

He then goes to the second store and spends 1 dollar more than half of what he has left, which is:

1/2 * (1/2 * x - 1) + 1 = 1/4 * x + 1/2

After spending this amount, he will have:

1/2 * x - 1 - (1/4 * x + 1/2) = 1/4 * x - 3/2

dollars left.

He repeats this process for each of the five stores.

Therefore, the amount of money Timothy has left after visiting all five stores is:

1/4 * x - 3/2 - (1/4 * x + 1/2) - (1/4 * x + 1/2) - (1/4 * x + 1/2) - (1/4 * x + 1/2) = -5/4 * x - 5

Since he has spent all his money, the amount of money he has left must be 0:

-5/4 * x - 5 = 0

Solving for x, we get:

x = -20

However, since it doesn't make sense for Timothy to have negative money, we can conclude that there is no solution to this problem.

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For both vendors, we need to obtain the price for an ear of corn to determine which bag is a better deal.

For the first vendor, we can obtain the cost of an ear of corn by dividing the price by the ears of corn, as follows:

As for the second vendor, we need to do exactly the same calculation:

Therefore, the better deal is the bag being sold by the first vendor

Step-by-step explanation:

\(f(-1) = 7(-1) + 4 = -3\) (because -1 < 0)

\(f(0) = 7(0) + 8 = 8\)

\(f(2) = 7(2) + 8 = 22\)

1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

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1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

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A triangle cannot be formed with side lengths 3, 9, 17 because A. No, because 3 + 9 < 17

In geometry, a triangle is a polygon with three sides, three edges, and three vertices. The main characteristic of a triangle is that the sum of its internal angles is 180 degrees.

This is referred to as the triangle's angle sum property. It should be noted that any two sides of a triangle must have a sum of lengths greater than the third side.

In this instance, the result of multiplying 3 by 9 equals 12, which is less than 17. Therefore, choice A is the right one.

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Answer:

x=18

Step-by-step explanation:

am=by which means you can make the equations equal each other

4x-22=2x+14

2x=36

x=18

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Answer:

Aaron completed the race in 9 days.  Mitch finished in the race in 8 days 20  hours. Dallas finished in 8 days 18 hours

Step-by-step explanation:

1. Dallas won the race. 8 days 18 hours

2. Mitch came in second. 2 days 5 hours x 4= 8 days 20

3. Aaron was 3rd. 4 days 12 hours x 2= 9 days

Answer:

Step-by-step explanation:

Hi there!

Please see the attached picture.

Hope it helps!

Answer:

21 years

Step-by-step explanation:

Given

\(Initial\ Height = 4\frac{1}{2}\)

\(Final\ Height = 40\)

\(Difference = 1\frac{3}{4}\)

Required

Determine the years it'll take to grow to the final height

This question depicts arithmetic progression and will be solved using

\(T_n = a + (n - 1)d\)

Where

\(T_n = 40\)

\(a = 4\frac{1}{2}\)

\(d = 1\frac{3}{4}\)

Substitute these values in the given formula;

\(40 = 4\frac{1}{2} + (n - 1)1\frac{3}{4}\)

Convert all fractions to decimal

\(40 = 4.5 + (n - 1) * 1.75\)

Open Brackets

\(40 = 4.5 + 1.75n - 1.75\)

Collect Like Terms

\(1.75n = 40 - 4.5 + 1.75\)

\(1.75n = 37.25\)

Divide both sides by 1.75

\(n = \frac{37.25}{1.75}\)

\(n = 21.2857142857\)

\(n = 21\) (Approximated)

The number of years it will take for the tree to have a height greater than 40 feet is 23 years

Given:

Height of the tree = 4 1/2 feet

Growth rate per year = 1 3/4 feet

Expected growth rate = 40 feet

Expected Number of years = y

The inequality:

4 1/2 + 1 3/4y > 40

Subtract 4 1/2 from both sides

1 3/4y > 40 - 4 1/2

7/4y > 40 - 9/2

7/4y > (80-9)/ 2

7/4y > 79/2

divide both sides by 7/4

y > 79/2 ÷ 7/4

y > 79/2 × 4/7

y > (79×4) ) (2×7)

y > (316) / 14

y > 22.57142857142857

Approximately,

y > 23 years

Therefore, number of years it will take for the tree to have a height greater than 40 feet is 23 years

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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9514 1404 393

Answer:

  no, when x is even, y will be an integer, not a fraction

Step-by-step explanation:

We observe that the coefficient of x is 1/2, so the x-term will be an integer only if x is a multiple of 2 (even). If the x-term is an integer, y will be an integer.

The given point has x even (-4), so we expect y to be an integer. The given point has y=1/2, not an integer, so the point will NOT be on the graph.