please Solve

6(x + 4) = 30

Answer:

480 liters of natural oil

Step by step Explanation:

ratio of natural to synthetic oil

= 5:3

If 440 liters have to be made then,

Add 5 + 3 = 8

So, 5/8 of 768 liters will be = 480 liters of natural oil

and, 3/8 of 768 liters will be = 288liters of synthetic oil

Therefore, 480 liters of natural oil will be needed

Answer:

51

Step-by-step explanation:

=====================================================

The reference angle has AC = 12.3 as the opposite side and BC = 8.4 as the adjacent side. The tangent ratio ties the opposite and adjacent sides together.

--------

tan(angle) = opposite/adjacent

tan(theta) = AC/BC

tan(theta) = 12.3/8.4

theta = arctan(12.3/8.4)

theta = 55.6697828044967

theta = 55.7 degrees approximately

--------

arctan is the same as inverse tangent which is written as \(\tan^{-1}\)

make sure your calculator is in degree mode

Answer:

first blank: 50-10=40

second blank: 50-20=30

third blank: 50-25=25

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

                                              40  30  25

10     20        25

40    30        25

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

3(X+1)+6=33

3x+3+6=33

3x+9=33

3x=33-9

X=24/3

X=8

Answer:

\(x = 8\)

Step-by-step explanation:

1) Subtract 6 from both sides.

\(3(x + 1) = 33 - 6\)

2) Simplify 33 - 6 to 27.

\(3(x + 1) = 27\)

3) Divide both sides by 3.

\(x + 1 = \frac{27}{3} \)

4) Simplify 27/3 to 9.

\(x + 1 = 9\)

5) Subtract 1 from both sides.

\(x = 9 - 1\)

6) Simplify 9 - 1 to 8.

\(x = 8\)

Therefor the answer is, x = 8.

The correct option related to enrollment of sam in university is C (We cannot be certain whether Sam is or is not a college freshman.)

What is enrollment?

The act of putting yourself or some other person onto the official list of members of a course, faculty or university, or group.

Main body:

as all college freshmen at highlands university take english composition , which means he is enrolled in university.

Sam is enrolled in english composition at highlands university which means he has English as a subject.

But it doses not tell us about his current year , which year he is studying.

therefore ,We cannot be certain whether Sam is or is not a college freshman.

To know more about enrollment , visit:

https://brainly.com/question/1101942

#SPJ4

Answer:

c = 2

Step-by-step explanation:

To solve this equation, you need to combine like terms and then divide by the coefficient of the variable on both sides of the equation.

To start, add 12c and 6c because they are like terms.

12c + 6c = 18c

Then, divide by 18 on both sides of the equation to solve for c.

18c = 36

----     ----

18      18

c = 2

True. Strings can be concatenated (joined together) using the plus sign in programming languages like Python, JavaScript, and Java.

In most programming languages, strings can be concatenated or added together using the "+" operator. When the "+" operator is used with two string operands, it combines the two strings into a single string by appending the second string to the end of the first string.

It's important to note that the "+" operator behaves differently when used with other types of operands, such as numbers or lists, and can perform addition or concatenation depending on the context.

Learn more about programming languages: https://brainly.com/question/16936315

#SPJ11

Answer:

Since the ratio of the altitudes of the two triangles ABC and DEF is 1:3, we can say that the altitude of triangle DEF is three times that of triangle ABC.

Let's assume the altitude of triangle ABC is h, then the altitude of triangle DEF is 3h.

Now, we know that the area of a triangle is given by the formula:

Area = (1/2) * base * height

Let's apply this formula to both triangles:

Area of triangle ABC = (1/2) * base * altitude

= (1/2) * 7cm * h

= 3.5h cm^2

Area of triangle DEF = (1/2) * base * altitude

= (1/2) * 7cm * 3h

= 10.5h cm^2

Since the two triangles are similar, their areas are proportional to the squares of their corresponding sides. That is:

Area of triangle ABC / Area of triangle DEF = (AB / DE)^2

Substituting the values, we get:

3.5h / 10.5h = (AB / DE)^2

1/3 = (AB / DE)^2

Taking the square root of both sides, we get:

AB / DE = 1 / sqrt(3)

AB = (1 / sqrt(3)) * DE

Now, we know that the sides of triangle ABC are 3cm, 5cm, and 7cm.

Let's assume that the sides of triangle DEF are a, b, and c.

Since the sides of the two triangles are proportional, we can write:

a / 3 = b / 5 = c / 7 = 1 / sqrt(3)

Solving for a, b, and c, we get:

a = 3 / sqrt(3) = sqrt(3) cm

b = 5 / sqrt(3) = (5 * sqrt(3)) / 3 cm

c = 7 / sqrt(3) = (7 * sqrt(3)) / sqrt(3) = 7 cm

Therefore, the measures of the sides of triangle DEF are sqrt(3) cm, (5 * sqrt(3)) / 3 cm, and 7 cm.

Answer: "When we plot a linear function, the graph is always a line. The rate of change, which is constant, determines the slant, or slope of the line. The point at which the input value is zero is the vertical intercept, or y-intercept, of the line."

Step-by-step explanation: Hope it helped! :)

Answer:

1.125 and 0.5625

Step-by-step explanation:

Hello there!

It seems that every term is dividing by 2 to get the next term

18/9=2

9/4.5=2

So to find the next terms we just divide the previous term by 2

2.25/2=1.125

1.125/2=0.5625

so the next two terms would be 1.125 and 0.5625

~TheMathWiz

Answer: =4?

Step-by-step explanation:

Answer:

The diagram is omitted--please sketch it to confirm my answer.

Set your calculator to degree mode.

\( \tan( \alpha ) = \frac{110}{450} \)

\( \alpha = {tan}^{ - 1} \frac{11}{45} = 13.74 \: degrees\)

The angle of elevation is 13.74°.

Answer: 1/4

The probability that the sum is less than or equal to 5 is 1/4.

Explanation:

There are a total of 6 possible ways of picking 2 cards out of 4 cards:

{1,2}, {1,3}, {1,4}, {2,3}, {2,4}, {3,4}

Out of these, only the first two pairs have a sum of less than or equal to 5.

Therefore, the probability of getting a sum less than or equal to 5 is 2/6, which simplifies to 1/3.

However, we are asked for the probability of getting a sum less than or equal to 5 after removing two cards.

So, after removing two cards, there are only 2 cards left, and there is only one pair of cards we can draw.

Therefore, the probability of getting a sum less than or equal to 5 after removing two cards is 1/4.

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11

Answer:

450

Step-by-step explanation:

790 × 150 = 13500

GCF = 30

13500/30 = 450

The area between the curves x = 28 − 7y² and x = 7y² − 28 is 0.

By counting the number of squares on a piece of paper with grids (square shaped), and using basic formulas, it is possible to determine the area of shapes like quadrilaterals and circles, which are 2D shapes.

To find the area between the curves x = 28 − 7y² and x = 7y² − 28, we need to first find the points of intersection.

Setting the two equations equal to each other, we get:

28 - 7y² = 7y² - 28

Simplifying and solving for y, we get:

y = ±2

So, the two curves intersect at y = 2 and y = -2.

Next, we need to determine which curve is on top in each interval. To do this, we can evaluate the y-values for each curve at y = 0 and y = 2:

For x = 28 − 7y²:

- At y = 0, x = 28

- At y = 2, x = 0

For x = 7y² − 28:

- At y = 0, x = -28

- At y = 2, x = 28

So, the curve x = 28 − 7y² is on top for y between 0 and 2, and the curve x = 7y² − 28 is on top for y between -2 and 0.

Using the formula for finding the area between two curves, we can now calculate the total area:

A = ∫(-2)²[28 - 7y² - (7y² - 28)] dy + ∫02[(7y² - 28) - (28 - 7y²)] dy

Simplifying, we get:

A = 2∫02(14y² - 28) dy

A = 2[\(14y^{3/3\) - 28y]0²

A = 2(0 - 0)

A = 0

Therefore, the area between the curves x = 28 − 7y² and x = 7y² − 28 is 0.

Learn more about area between curves on:

https://brainly.com/question/30402524

#SPJ4

Given:

Two values of a linear function are f (6) = 8 and f (9) = 3.

To find:

The linear function.

Solution:

According to the question f (6) = 8 and f (9) = 3, it means the function passes through (6,8) and (9,3).

If a linear function passes through two points then the equation is

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

So, the equation of linear function is

\(y-8=\dfrac{3-8}{9-6}(x-6)\)

\(y-8=\dfrac{-5}{3}(x-6)\)

\(y-8=-\dfrac{5}{3}(x)-\dfrac{5}{3}(-6)\)

\(y-8=-\dfrac{5}{3}(x)+10\)

Add 8 on both sides.

\(y=-\dfrac{5}{3}(x)+10+8\)

\(y=-\dfrac{5}{3}(x)+18\)

Function form is,

\(f(x)=-\dfrac{5}{3}(x)+18\)

Therefore, the required linear function is \(f(x)=-\dfrac{5}{3}(x)+18\).

Answer: A, B, C, E

Step-by-step explanation:

Answer:The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

h is=380 or h=100

Step-by-step explanation:

Perimeter of Rectangle is 44m

A perimeter is a closed path that encompasses, encircles, or delineates a one-dimensional length or a two-dimensional shape.

According to the given information

Area of Rectangle = l × b

Area of Rectangle = 105 \(m^{2}\)

Length of one side = 7 m

Let the length of the adjacent side = b

Area of Rectangle given = 7 × b

                     105   = 7 × b

                       b    =  \(\frac{105}{7}\)

                       b   = 15 m

Perimeter of Rectangle given = 2( l + b )

                                        = 2 ( 7 + 15 )

                                        = 2 × 22

                                        = 44m

Perimeter of Rectangle is 44m

To know more about Perimeter

https://brainly.com/question/15271274

#SPJ4

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

Answer:

Divide all of them by 5.

30 g onions

16 g carrots

0.5 tablespoons of oil

130 g tomatoes

0.3 I vegetable stock (whatever this is)

I hope this helps! If there are calculation mistakes, I’m sorry because I did this all in my head...

30 onions

16 carrots

1/2 tablespoons of oil

130 grams of tomatoes

0.3 liters of vegatable stock

Since the recipe serves 5, you divide the ingredients by 5 to get the values needed for one portion:

150/5 = 30 onions

80/5 = 16 carrots

2.5/5 = 1/2 tablespoons of oil

650/5 = 130 grams of tomatoes

1.5/5 = 0.3 liters of vegatable stock

George needs to sail close to 3.7 miles from Paradise Island to reach Shipwreck Rock.

Applying  the law of cosines:

c^2 = a^2 + b^2 - 2ab cos(C)

where:

c = the unknown distance

a = 3.7 miles (distance from the dock at the mainland to Paradise Island)

b = 5.6 miles (distance from the dock at the mainland to Shipwreck Rock)

C = 72 degrees (angle formed between the dock at the mainland and Shipwreck Rock)

The we convert the angle from degrees to radians:

72 degrees = (72/360) * 2π radians = 1.2566 radians (approx.)

Substituting  the values into the formula and solving  for c:

c^2 = 3.7^2 + 5.6^2 - 2(3.7)(5.6)cos(1.2566)

c^2 = 13.69

c ≈ 3.7 miles

learn more about law of cosines at: https://brainly.com/question/30249060

#SPJ1

Answer:

D. reflection then rotation

Step-by-step explanation:

ABC then A'B'C' then A''B''C''

Following this order, you can see that ABC is reflected across the x-axis to create A'B'C'.

A'B'C' is then rotated anticlockwise to create A''B''C''. How do we know this? The vertexes are pointing in different directions. If it was translated then B' would have been facing downwards instead of facing to the right

Answer:

after 101.25 seconds

Step-by-step explanation:

set h equal to zero and solve for 'x'

0 = -0.03x² + 2.84x + 20

I multiplied through by 100 to work with integers instead of decimals, and then I used the Quadratic Formula

9-b ± √b²-4ac) / 2a

a = -3

b = 284

c = 2000

Solving the quadratic equation, it is found that the ball splashes into the water after 101.25 seconds.

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

The height of the ball after x seconds is given by:

\(h(x) = -0.03x^2 + 2.84x + 20\)

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

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

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

\(-0.03x^2 + 2.84x + 20\) has coefficients \(a = -0.03, b = 2.84, c = 20\). Thus:

\(\Delta = (2.84)^2 - 4(-0.03)(20) = 10.4656\)

\(x_{1} = \frac{-2.84 + \sqrt{10.4656}}{2(-0.03)} = -6.58\)

\(x_{2} = \frac{-2.84 - \sqrt{10.4656}}{2(-0.03)} = 101.25\)

The ball splashes into the water after 101.25 seconds.

A similar problem is given at https://brainly.com/question/16840613

Answer:

what is it round what to the nearest ten what

Step-by-step explanation:

Answer:

C(x) = dependent variable

x = independent variable

Step-by-step explanation:

A function means the dependent variable is determined by the independent variable(s).

In the given function, C(x) = 7.25x + 1,500:

The x represents the input value, which is the independent variable. The input value does not depend on other factors. The independent variable, x, can have different values. When x (input) changes, C(x) (output) also changes.

C(x) or y represents the output value, or the dependent variable. The output value, "C(x)," means that the output value depends on or is determined by the input value, x.  For example, if your input value is 1, then:

C( 1 ) = 7.25( 1 ) + 1,500

C( 1 ) = 7.25 + 1,500

C( 1 ) = 1,507.25.