Please help with this

Answer:

-4x + 11y = 14

Step-by-step explanation:

you just add and subtract the like terms

Solve for x.

2x + 9 = 33

2x = 24

x = 12

A. x = 7.5

B. x = 12

C. x = 21

D. x = 84

Answer:

\(2x + 9 = 33 \\ 2x = 33 - 9 \\ 2x = 24 \\ x = \frac{24}{2} \\ x = 12\)

Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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The construction worker will be able to repaint 6 walls with 4 ½ gallons of paint. Option C

To determine how many walls the construction worker will be able to repaint with 4 ½ gallons of paint, we need to divide the total amount of paint by the amount required per wall.

The worker has 4 ½ gallons of paint, which can be written as 4 + 1/2 gallons.

Each wall requires 3/4 gallon of paint.

To find the number of walls that can be repainted, we divide the total amount of paint by the amount required per wall:

Number of walls = (Total amount of paint) / (Amount required per wall)

Plugging in the values, we have:

Number of walls = (4 + 1/2) gallons / (3/4 gallon)

To simplify the division, we can convert the mixed number 4 1/2 to an improper fraction:

Number of walls = (9/2) gallons / (3/4 gallon)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

Number of walls = (9/2) gallons * (4/3 gallon)

Simplifying the multiplication:

Number of walls = (9 * 4) / (2 * 3) = 36/6 = 6

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Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

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According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

21 cups of sugar

Step-by-step explanation:

so it gives you the ratio for cups of sugar(or as i'm going to use it, COS) and cups of flower(COF), which is 3:2, so if you have 14 cups of flower, you would divide 14 by the COF part of the ratio, which is 2, which gives you 7, then you would multiply the COS part of the ratio, which is 3, by 7 to get the number of cups of sugar needed for 14 cups of flower.

The equation of a quadratic function P with rational coefficients that have a zero of 3 + 7i is; P(x) = x² - 6x + 58

We are given one of the zero of the quadratic function as 3 + 7i.

The given zero of the function is a complex number and we know that when dealing with complex numbers, if the zero of the function is of the form a + bi then we can deduce that the other zero of the function will be a - bi.

This means that the other zero of our function is 3 - 7i.

Thus, the factors of the quadratic function are;

(x - (3 + 7i)) and (x - (3 - 7i))

Thus, the equation of the quadratic function is;

P(x) = (x - (3 + 7i)) × (x - (3 - 7i))

We know that i² = -1

Thus, our equation is;

P(x) = x² - 6x + 58

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The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

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

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.

Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.

For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.

Therefore,  a) The inverse of “Add 25” would be “Subtract 25.”What is the  b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”

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Answer:

10.30 or 10 1/6 if this answer is not on the answer choices round to the nearest answer close to this.  

Step-by-step explanation:

how to solve.

34/5=6.8    - this is how many miles the car is traveling per minuet.

6.8/70=10.30   - this should be the answer because this is how many minutes it takes the car to travel 70 miles

Step-by-step explanation:

5.1054 meters

I think you should round the number tho

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

Options F and G are the correct answer.

We have,

The number of students in Henderson High School.

Work = 96

College = 114

Armed forced = 48

Other = 42

The number of students in Johnson High School.

Work = 30

College = 40

Armed forced = 15

Other = 15

From the information,

The number of students in Work for Henderson High School is greater than Johnson High School.

Now,

Henderson High School:

Armed force and other = 48 + 42 = 90

Mode = college

Johnson High School.

Armed force and other = 15 + 15 = 30

Mode = college

Thus,

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

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Answer:

  -2, -7

Step-by-step explanation:

We only need to look at negative factors of 14:

  14 = (-1)(-14) = (-2)(-7)

The latter pair of factors has a sum of -9.

The two factors of interest are -2 and -7.

The correct face value will be Option C ($20,000). A further solution id provided below.

Given:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \(\frac{4.4}{2}\)

= \(1.1\) (%)

Time will be:

= \(20\times 2\)

= \(40 \ periods\)

As we know the formula,

⇒ \(Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}\)

By substituting the values, we get

                   \(8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}\)

                   \(8375=\frac{Face \ value}{(1.022)^{40}}\)

                   \(8375=\frac{Face \ value}{2.3880083}\)

The face value will be:

        \(Face \ value = 2.3880083\times 8375\)

                          \(=20,000\) ($)

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Answer:

8%

Step-by-step explanation:

P(X<79) = normalcdf(0,79,100,15) = 0.0807567112 ≈ 0.08 ≈ 8%

Therefore, the probability, rounded to the hundredth, that a person from Montana will have an IQ less than 79 is 0.08 or 8%

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

r = 6

Step-by-step explanation:

34 = 7r - 8

+8 .       +8  

42 = 7r

__ .  __

7 .     7

6 = r  

Answer:

Step-by-step explanation:

2x×1=(√3)²

2x=3

x=3/2

movies 1.75 each

games 5.75 each

Answer:

tourist: 28%

non-tourist: 72%

Step-by-step explanation:

total: 50

tourists: 14

non-tourists:50 - 14 = 36

tourist percentage: 14/50 × 100% = 28%

non-tourist percentage: 36/50 × 100 = 72%

9514 1404 393

Answer:

  17n+9 feet

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of length and width.

  P = 2(L +W)

  P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)

  P = 17n +9

The perimeter of the rectangle is 17n +9 feet.

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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