you and your friend went shopping. you bought 3 shirts and 4 sweaters for $69. your friend bought 6 shirts and 2 sweaters for $66 how much does one shirt and one sweater coat each

I need this answered quickly ​

The solution to the compound inequality 2X - 18 ≥ 122 or 5X + 15 ≤ 250 is X ≤ 47 or X ≥ 70.  The mile marker X that will determine the conclusion of the research is any value of X greater than or equal to 70 or any value of X less than 47.

The insurance data scientist is trying to determine a conclusion about a certain stretch of a rural highway. To do this, they are investigating two conditions that could impact the safety of drivers on that highway.

These conditions are represented by two inequalities:

2X - 18 ≥ 122

5X + 15 ≤ 250

To determine the conclusion of their research, the data scientist needs to find the values of X that satisfy at least one of these inequalities.

Let's start by solving the first inequality:

2X - 18 ≥ 122

2X ≥ 140

X ≥ 70

This means that if the mile marker is greater than or equal to 70, then the condition represented by the first inequality is satisfied. Specifically, if the mile marker is at or beyond mile marker 70, then the insurance data scientist concludes that the condition represented by the first inequality is a concern for drivers on the highway.

Next, let's solve the second inequality:

5X + 15 ≤ 250

5X ≤ 235

X ≤ 47

This means that if the mile marker is less than or equal to 47, then the condition represented by the second inequality is satisfied. Specifically, if the mile marker is at or before mile marker 47, then the insurance data scientist concludes that the condition represented by the second inequality is a concern for drivers on the highway.

To summarize, the insurance data scientist needs to investigate the mile markers between 47 and 70 to determine if either condition is a concern for drivers on the highway. If the mile marker is at or before mile marker 47 or at or beyond mile marker 70, then the data scientist concludes that at least one of the conditions is a concern for drivers on the highway.

In conclusion, the solution to the compound inequality 2X - 18 ≥ 122 or 5X + 15 ≤ 250 is X ≤ 47 or X ≥ 70. The insurance data scientist needs to investigate the mile markers between 47 and 70 to determine if the conditions represented by either inequality are a concern for drivers on the highway.

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The most likely to happen to "job-market" in a weak economy is (a) The unemployment rate rises, and companies go out of business or "lay-off" employees due to insufficient profits.

In a weak economy, the companies experience a decrease in their sales and revenue, which leads to financial difficulties. So, in an attempt to reduce costs and remain profitable, the companies "lay-off" employees or go out of business, resulting in an increase in the unemployment rate.

The weak economy also means that there are fewer job opportunities available, which make it harder for people who are unemployed to find work. So, a weak economy generally has a negative impact on the job market.

Therefore, the correct option is (a).

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The given question is incomplete, the complete question is

What is most likely to happen to the job market in a weak economy?

(a) The unemployment rate rises, and companies go out of business or lay off employees due to insufficient profits.

(b) The unemployment rate decreases because people have no money and want to take any job.

(c) Businesses usually hire more people to help make the economy strong and people have more money to spend on luxuries.

(d) Employment rates rise and employers have more people to choose from when they need to hire new employees.

We can conclude that the solution of the equation `f(x) = -3x + 1` when `f(x) = -5` is `x = 4/3`.

Given the function `f(x) = -3x + 1` and `f(x) = -5`, we are required to solve for x. Substituting f(x) = -5 in the function, we get,`-5 = -3x + 1`Adding 3x to both sides, we get,`3x - 5 + 1 = 0`Simplifying the left-hand side, we get,`3x - 4 = 0`Adding 4 to both sides, we get,`3x = 4`Dividing both sides by 3, we get,`x = 4/3`Therefore, the solution of the equation `f(x) = -3x + 1` when `f(x) = -5` is `x = 4/3`.Thus, we can conclude that the solution of the equation `f(x) = -3x + 1` when `f(x) = -5` is `x = 4/3`.

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your answer luv- y-1/2x-7

The correct answer is (c) The vectors are linearly independent for all real numbers a, excluding a = ±√96.

To determine if the vectors v1 = (a, 1), v2 = (-4, a), and v3 = (4, 6) are linearly independent, we can check the determinant of the matrix formed by these vectors. If the determinant is not equal to zero, the vectors are linearly independent. Otherwise, they are linearly dependent.

The matrix is:
| a, -4, 4 |
| 1,  a, 6 |

The determinant is: a * a * 1 + (-4) * 6 * 4 = a^2 - 96.

Now, we want to find the real number(s) a for which the determinant is not equal to zero:

a^2 - 96 ≠ 0
a^2 ≠ 96

So, the vectors are linearly independent if a^2 is not equal to 96. This occurs for all real numbers a, except for a = ±√96. Therefore, the correct answer is (c) The vectors are linearly independent for all real numbers a, excluding a = ±√96.

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Answer:

C

Step-by-step explanation:

I got it right

Answer:

Option 3

Step-by-step explanation:

If you multiply the numbers inside the root of option 3, you get the equation

2 * 2 * 3 * 3 * 5

Which equals 180

Replacing the root sign will show that you have the right answer.

(2+3i)+2i(2+3i) = 1(2+3i) + 2i(2+3i) = (1+2i)(2+3i)

Step-by-step explanation:

50

Answer:

m(arc)RST = 154 deg

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

x + 77 + x + 103 = 180

2x + 180 = 180

2x = 0

x = 0

m<RST = x + 77 = 0 + 77 = 77

The measure of an inscribed angle is half the measure of its subtended arc.

m<RST = (1/2)m(arc)RST

77 = (1/2)m(arc)RST

154 = m(arc)RST

m(arc)RST = 154 deg

Answer:

1,000 because it's in the thousands place

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}\)

Answer:

The answer is

\(5 \sqrt{2} \)

Step-by-step explanation:

By using Pythagoras

Then

\( {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} \)

Let x be the dilation factor, then we can write

If we move 28 to the right hand side, we get

therefore, the answer is option D

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Step-by-step explanation:

Answer:

The sum of -3/7 and its opposite is 0

Step-by-step explanation:

The problem says to find the sum of -3/7 and its opposite.

The opposite of -3/7 is +3/7

Sum means we need to add -3/7 and +3/7.

\(\dfrac{-3}{7}+\dfrac{3}{7}=0\)

As the two fractions have opposite signs, it means when we add them we get the answer as 0.

Answer:

this is the answer fod this lroblsm

Answer:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet.

Step-by-step explanation:

this equation is stander form

Answer:

119

Step-by-step explanation:

First find c. It is a straight line so 180. 180-112=68. 68+51=119. 180-119=61. 180-61=119.

Answer:

A reflection across the y-axis and a translation 2 units down.

Explanation:

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

13

Step-by-step explanation:

I assume that we are talking about the points and lengths of a number line.

A is the starting point (-8).

B is the mid point (-4).

C is the end point (5).

To find the distance of AC, we take the absoulte value of any value if its negative and add.

|-8| + 5

8 + 5

13

Best of Luck!

The orthogonal trajectories are given by options (C), (F), and (G), i.e.,

\(\(y^2 + 2x^2 = C\),\)

\(\(2y^3 + 25x^3 = C\)\), and

\(\(23y^2 + 23x^2 = C\)\).

To find the orthogonal trajectories of the family of curves given by, we need to find the differential equation satisfied by the orthogonal trajectories and then solve it to obtain the desired equations.

Let's start by finding the differential equation for the family of curves \(\(y^4 = kx^3\)\). Differentiating both sides with respect to (x) gives:

\(\[4y^3 \frac{dy}{dx} = 3kx^2.\]\)

Now, we can find the slope of the tangent line for the family of curves. The slope of the tangent line is given by \(\(\frac{dy}{dx}\)\), and the slope of the orthogonal trajectory will be the negative reciprocal of this slope.

So, the slope of the orthogonal trajectory is

\(\(-\frac{1}{4y^3} \cdot \frac{dx}{dy}\).\)

To find the differential equation satisfied by the orthogonal trajectories, we equate the negative reciprocal of the slope to the derivative of \(y\) with respect to \(x\):

\(\[-\frac{1}{4y^3} \cdot \frac{dx}{dy} = \frac{dy}{dx}.\]\)

Simplifying this equation, we get:

\(\[-\frac{1}{4y^3} dy = dx.\]\)

Now, we integrate both sides with respect to the respective variables:

\(\[-\int \frac{1}{4y^3} dy = \int dx.\]\)

Integrating, we have:

\(\[\frac{1}{12y^2} = x + C,\]\)

where (C) is the constant of integration.

This equation represents the orthogonal trajectories of the family of curves \(\(y^4 = kx^3\)\).

Let's check which of the given options satisfy the equation

\(\(\frac{1}{12y^2} = x + C\):\)

(A) \(\(25y^3 + 3x^2 = C\)\) does not satisfy the equation.

(B) \(\(2y^3 + 2x^2 = C\)\) does not satisfy the equation.

(C) \(\(y^2 + 2x^2 = C\)\) satisfies the equation with \(\(C = \frac{1}{12}\)\).

(D) \(\(25y^2 + 25x^3 = C\)\) does not satisfy the equation.

(E) \(\(23y^2 + 2x^2 = C\)\) does not satisfy the equation.

(F) \(\(2y^3 + 25x^3 = C\)\) satisfies the equation with \(\(C = -\frac{1}{12}\)\).

(G)\(\(23y^2 + 23x^2 = C\)\) satisfies the equation with \(\(C = -\frac{1}{12}\)\).

(H) \(\(23y^3 + 25x^3 = C\)\) does not satisfy the equation.

Therefore, the orthogonal trajectories are given by options (C), (F), and (G), i.e., \(\(y^2 + 2x^2 = C\)\),

\(\(2y^3 + 25x^3 = C\)\), and

\(\(23y^2 + 23x^2 = C\)\).

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Answer:

25% of 64 is 16 and for b it is 34.

Step-by-step explanation:

The area of Unnex is 7,640 square miles, and the area of Biron is 14,320 square miles.

Let's denote the area of Unnex as "U" and the area of Biron as "B."

According to the given information, Nonlief initially had an area of 36,200 square miles. After Unnex seceded, Nonlief's area reduced to 28,560 square miles. This means that the area of Unnex is the difference between the initial area of Nonlief and the area remaining after Unnex seceded:

U = Initial area of Nonlief - Area remaining after Unnex seceded

U = 36,200 - 28,560

U = 7,640 square miles

Next, we are told that after Biron seceded, Nonlief was left with an area of 21,880 square miles. To find the area of Biron, we need to subtract the remaining area from the area before Biron seceded:

B = Area before Biron seceded - Remaining area after Biron seceded

B = 36,200 - 21,880

B = 14,320 square miles

Unnex therefore has an area of 7,640 square miles, while Biron has an area of 14,320 square miles.

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Answer:

x=10, y=20

Step-by-step explanation:

3x+10=5x-10

2x=20

x=10

4y=5x-10+3x+10

4y=8x

y=2x

y=20

Hope it helps.

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A. Number of trips booked if the decrease in price is x dollars per rate is 200 trips. and B. If they decrease the price by x dollars, the new price per trip will be $100 - x.

a. The expression to represent the number of trips booked if the decrease in price is x dollars per rate is:

(200 + 10x)

This is because for every 1 dollar decrease in the price per trip, they can book an additional 10 trips. So, if they decrease the price by x dollars, they will be able to book 10x more trips in addition to the original 200 trips.

b. The expression to represent the price per trip if the two sisters decrease the x dollars per trip is:

(100 - x)

This is because the original price per trip was $100. If they decrease the price by x dollars, the new price per trip will be $100 - x.

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