3. A fisherman scoops water out of his boat after a rainstorm. If the container he uses to scoop water can hold 2.1 liters, which is closest to the total amount of water, in liters, that he will remove with 8 scoops? 4 6 10 16 PREVIOUS

Answer:

always

Step-by-step explanation:

if something parallel then it never touch each other and are opposite of each other

Answer:

h = hamburgers sold

2h - 72 = 578

2h = 650

2       2

h = 325

There were 72 fewer cheeseburgers sold than hamburgers. That means cheeseburgers = 325 - 72

325 - 72 =  253

253 = cheeseburgers

325 = hamburgers

253 + 325 = 578

Hamburgers = 325

Hope this helps :)

Answer:

Step-by-step explanation:

If \(A =\pi xy\), then π, x, and y are all multiplied together. Multiplication is undone by division, so we will divide away the πx to solve for y:

\(\frac{A}{\pi x}=y\) which is your last option.

Here, we are required to find an equivalent equation solved for y if the area, a is given by;

a = πxy

An equivalent equation solved for y is;

y = a ÷ (πx)

To find an equivalent equation solved for y,

We have to make y the subject of the formula in;

a = πxy.

Therefore, by dividing both sides of the equation by πx, so that y is left alone on the right hand side.

Therefore, y = a ÷ (πx).

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60 bags are needed to fertilize a field 300 meters by 600 meters.

CALCULATE AREA OF THE FIELD

= 180000 ÷ 3000

= 60 bags.

Hence, 60 bags are needed to fertilize a field 300 meters by 600 meters.

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The possible value of x is 17 and the degree measure of each angle is m∠P = 57°, m∠Q = 110°, and m∠R = 17°.

What are the degree measures of the three angles in triangle?

The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well. Half of 360° is 180°.

We have given,

The triangle PQR,

m∠P=(4x - 9), m∠Q=(6x+2), and m∠R=x. (a) Write an equation to find x.

a)

In a triangle, the sum of the degree measures of the three angles must be 180 degrees.

So for the triangle with angles P, Q, and R, we can use this rule to write the following equation:

m∠P + m∠Q + m∠R = 180

(4x - 9) + (6x + 2) + x = 180

11x - 7 = 180

11x = 187

x = 17

This equation shows that x = 17 is the only possible value of x that satisfies the triangle inequality rule for the given triangle.

b) To find the degree measure of each angle:

m∠P = 4x - 9 = 4(17) - 9 = 57°

m∠Q = 6x + 2 = 6(17) + 2 = 110°

m∠R = x = 17°

Hence, the possible value of x is 17 and the degree measure of each angle is m∠P = 57°, m∠Q = 110°, and m∠R = 17°.

.

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As domain x approaches positive infinity, S(x) approaches positive infinity. Option B is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Given expression for the attendance of the student is,
S(x) = (x - 50)² + 19

The end behavior of their graph is given as after x = 50 the graph starts heigh increasing gradient and it keeps increasing, till x =  infinity, as shown in the graph.

Thus, the curve of the given equation S(x) will increase from x = 50 to x = ∞ .

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Hey there! I'm happy to help!

NUMBER 1

This is a trick to solve any proportion.

Multiply the diagonal numbers.

5(16)=80

Divide by the number that isn't the one you want to find.

90/8=10

And you are left with the number you haven't touched. We haven't touched x, so x=10.

NUMBER 2

Cross multiply.

45(-50)=-2250

Divide.

-2250/3=-750

So x=-750.

QUESTION 3

4(27)=108

108/12=9

So x+3=9, subtract 3 from both sides x=6.

Have a wonderful day! :D

The following numbers converted from base ten to the designated base:

(a) 66 ten five = 333

(b) 154 ten five = 543

(c) 94 ten two = 110010

(d) 207 ten two = 111101

(e) 48 ten twelve = 32

(f) 405 ten sixteen = 193

(g) 66ten six = 42

(h) 1,258 ten Six = 2432

(i) 147 ten sixteen = 221

(j) 200 ten five = 400

(k) 96 ten sixteen = 150

(l) 1,058 ten five = 2113

(m) 2,500,000 ten five = 10000000

To convert a number from base ten to another base, we can use the following steps:

1. Divide the number by the new base.

2. Write down the remainder.

3. Repeat steps 1 and 2 until the number is zero.

4. Read the remainders from bottom to top, starting with the largest remainder.

The numbers in the table were converted using these steps.

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#Complete Question:- Convert the following numbers from base ten into the designated base, (a) 66 ten five (b) 154 ten five (C) 94 ten two (d) 207 ten two (e) 48 ten twelve (f) 405 ten sixteen (g) 66ten six (h) 1,258 ten Six (0) 147 ten sixteen 0) 200 ten five (K) 96 ten sixteen (0) 1,058 ten five (m) 2,500,000 ten five

Answer:

30/5=6

Step-by-step explanation:

There’s 30 fish put into five bowls, and there’s six fish in each

Answer:

3 is equvalent...........

The expressions which are equivalent are; 1/3 - 2/1 and -1 2/3

According to the question;

The equivalent expressions are; 1/3 - 2/1 and -1 2/3.

Upon evaluation; 1/3 - 2/1;

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Answer:

x₁ = (1 + √43)/6

x₂ = (1 - √43)/6

Step-by-step explanation:

6x² - 2x = 7

6x² - 2x - 7 = 0

Formula

ax² + bx + c = 0

a = 6 ; b = - 2 ; c = - 7

x₁/₂ = [-b ± √(b²- 4ac)]/2a

x₁/₂ = (2 ± √4 + 4×6×-7)/12

x₁/₂ = (2 ± √172)/12

x₁/₂ = (2 ± 2√43)/12

x₁/₂ = 2(1 ± √43)/12

x₁/₂ = (1 ± √43)/6

x₁ = (1 + √43)/6

x₂ = (1 - √43)/6

The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°

In a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.

Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.

Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:

180° - 120°

= 60°.

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George would take 11 years to reach the top of the salary scale and he would earn a total of 18,480,000 during that period.

The given problem requires calculating the time needed to reach the top of the salary scale and the total amount earned by George during that period. Let's begin with the calculation.Time required to reach the top of the salary scale. The increase in salary per year is 80,000 and the starting salary is 1,200,000.

To calculate the time needed to reach the top of the salary scale, we can use the formula:Time = (Final Salary – Initial Salary)/Increase in SalaryTime = (2,080,000 – 1,200,000)/80,000Time = 11 yearsTotal amount earned by George during the period.

To calculate the total amount earned by George during the period, we can use the formula:Total Earnings = Initial Salary x Number of Years + 1/2 x Increase in Salary x Number of Years x (Number of Years + 1)Total Earnings = 1,200,000 x 11 + 1/2 x 80,000 x 11 x 12Total Earnings = 13,200,000 + 5,280,000Total Earnings = 18,480,000.

Therefore, George would take 11 years to reach the top of the salary scale and he would earn a total of 18,480,000 during that period. The total amount earned is calculated by adding the starting salary to the sum of the salary increases over the years.

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a survey of 1021 school-age children was conducted by randomly selecting children from several large urban elementary schools The U.S. Population Census is an example of a census

Census means the procedure of counting, calculating and recording the number and information about the members of the nation's.

Generally, population census are conducted every 10 years although some nations conduct their's every 5 years.

The primary objective of population census is to know the total size of the population of a country.

Population census also enable the government to appropriate resources fairly based on the number of people in a geographical area.

In conclusion, the U.S. population census is the only example of census.

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Answer:

nin7

Step-by-step explanation:

The perimeter of the drawing is 22 inches.

The perimeter of the actual garden is 770 inches.

The effect on the perimeter of the garden is that it becomes 35 times larger than the original perimeter.

What is perimeter ?

Perimeter is the total length of the sides or edges of a two-dimensional shape, such as a polygon or a circle. It is the distance around the outside of the shape.

For example, the perimeter of a square is the sum of the lengths of all four sides of the square. If the side length of a square is "s", then the perimeter of the square is:

Perimeter = 4s

According to the question:

(a) Perimeter of the drawing:

The garden is rectangular, so we can use the formula for perimeter:

P = 2L + 2W

where L is the length and W is the width.

In the drawing, the length is 7 inches and the width is 4 inches. Substituting these values into the formula, we get:

P = 2(7) + 2(4) = 14 + 8 = 22 inches

Therefore, the perimeter of the drawing is 22 inches.

(b) Perimeter of the actual garden:

We are told that the actual garden is 35 times larger than the drawing. This means that the length and width of the actual garden are 35 times the length and width in the drawing, respectively.

The length of the actual garden is:

L_actual = 35L_drawing = 35(7) = 245 inches

The width of the actual garden is:

W_actual = 35W_drawing = 35(4) = 140 inches

Using the formula for perimeter again, we get:

P_actual = 2L_actual + 2W_actual

= 2(245) + 2(140)

= 490 + 280

= 770 inches

Therefore, the perimeter of the actual garden is 770 inches.

(c) Effect on the perimeter of the garden when the dimensions are multiplied by 35:

When the dimensions of the garden are multiplied by 35, the perimeter of the garden also increases by a factor of 35. This is because the perimeter depends on the length and width of the garden, and both of these dimensions are being multiplied by 35.

Therefore, the effect on the perimeter of the garden is that it becomes 35 times larger than the original perimeter.

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Answer: 12 friends

Step-by-step explanation:

The required probability is  \(\frac{1}{10}\).

This problem is related to probability.

First we have to calculate the number of outcomes and then the number of favorable outcomes.

In this case the numbers are from 1 to 150.

First we have to find the numbers which are perfect square between 1 to 150= {1,4,9,16,25,36,49,64,81,100,121,144}

Now we have to find the numbers which are perfect cube other than those which came in square={8,27,125}

Here the number of favorable outcome is 150 minus number of elements in set of perfect square and perfect cube.

Now the probability of the required problem is = \(\frac{15}{150}\)

                                                                         = \(\frac{1}{10}\)

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

\((2n)+(2n+2)+(2n+4)=114\)

Solve for n. Combine like terms on the left:

\(6n+6=114\)

Subtract 6 from both sides:

\(6n=108\)

Finally, divide both sides by 6. Therefore, the value of n is:

\(n=108/6=18\)

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

Let the three consecutive even numbers be x, x + 2 and x + 4 .

\( \longrightarrow \rm x + x + 2 + x + 4 = 114\)

\( \longrightarrow \rm 3x + 6 = 114\)

\( \longrightarrow \rm 3x = 108\)

\( \longrightarrow \bf x = 36\)

Smallest number = 36

Answer:

b is the correct answer

Step-by-step explanation:

mark as brainlist

Answer:

largest angle = 90°

Step-by-step explanation:

let the smallest angle be x then and other 2 angles are 3x and x + 30

the sum of the 3 angles in the triangle sum to 180° , that is

x + 3x + x + 30 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

3x = 3 × 30 = 90

x + 30 = 30 + 30 = 60

the 3 angles are 30° , 60° , 90°

with 90° being the largest

This method works because it uses the right triangle theorem.

Triangle is a three-sided polygon that has three vertices and three angles. It is one of the basic shapes in geometry. A triangle with all sides equal is called an equilateral triangle, one with two sides equal is called an isosceles triangle, and one with all sides of different lengths is called a scalene triangle. Triangles are used in many fields, including engineering, architecture, and art.

The right angle of the triangle is formed by the line of sight from your eye to the balloon, and the two sides of the triangle are formed by the ground to your eye measurement and the distance from you to the gym wall. By multiplying the two measurements, you can estimate the height of the balloon from the ground.

This measuring method is simple and easy to use. All that is needed is a cardboard square, a tape measure, and a friend to help. It is also accurate since it uses the right triangle theorem. However, it is only an estimate of the true distance from the ground to the balloon. To get a more precise measurement, the angles of the triangle should be calculated and the measurements should be taken from two or three different points.

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1. A simplified expression for the volume of the above prism is 15x³ cubic units.

2. Destiny made her mistake in step 1, and the correct solution with steps is shown below.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 3x × 5x ×  x

Volume of rectangular prism = 15x³ cubic units.

Question 2.

Given the following expression, \(\frac{5(x+2)-(8-x)}{2}\)

Step 1: we would open the bracket;

\(\frac{5x\;+\;10\;-\;8\;+\;x}{2}\)

Step 2: we would collect like-terms and evaluate;

\(\frac{5x\;+\;x\;+\;10\;-\;8}{2}\\\\\frac{6x\;+\;2}{2}\)

Step 3: we would split;

\(\frac{6x}{2}+ \frac{2}{2}\)

Step 4: we would divide;

3x + 1

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Answer: you need 20 teaspoons of red paint

19) g(x)=0 is the value of x at points where the line cuts the x-axis

From the graph that is at:

x=-7, x=1, x=3, and x=9

20) f(x)>g(x) where the curve f(x) is higher than the curve g(x), and this is at:

x<-3, 07