Given the equation 6x + 18 = 72:

Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)

Part B: Solve the equation showing all work. (4 points)

Part C: Explain what the value of the variable represents. (2 points)

Answers

Answer 1

The short word problem that illustrates the given equation is seen below. The value of the variable is 9.

Expression of the algebraic equation into word problems:

Linear algebra equations are equations that can be expressed in word problems and these equations can be used to solve real-life scenarios. These algebraic equations are designed by the application of the desired set of variables with its arithmetic operations.

A.

In a food factory, Eighteen fried chickens are added to the six times the number of food plates is seventy-two. How much-fried chicken goes into each food plate?

B.

6x + 18 = 72

Subtract 18 from both sides;

6x + 18 - 18 = 72 - 18

6x = 54

Divide both sides by 6.

6x/6 = 54/6

x = 9

C.

The value of the variable is 9, and according to the example we used, it represents the number of chickens that goes into each plate of food.

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Related Questions

taking π=22/7, find the circumference of a circle 70cm

Answers

The circumference of circle of radius 70 cm is 440 [tex]cm^{2}[/tex].

According to the question,

We have the following information:

Radius of the circle = 70 cm

(Diameter is twice that of its radius..)

We know that the following formula is used to find the circumference of circle:

Circumference of circle = 2πr

(More to know: the formula to find the area of circle is π[tex]r^{2}[/tex].)

(More to know: there are two values of π. One is 3.14 and one is 22/7.)

Circumference of circle = 2*(22/7)*70

Circumference of circle = 440 [tex]cm^{2}[/tex]

Hence, the circumference of the circle of radius 70 cm is 440 [tex]cm^{2}[/tex].

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write a word problem that uses mixed numbers and asks to find the unit price of an item

Answers

A word problem that uses mixed numbers and asks to find the unit price of an item is " The price of a cup of rice is $2. Find the price of 3 1/2 cups.

How to illustrate the information?

From the information given, we want to find the word problem that uses mixed numbers and asks to find the unit price of an item.

This can be illustrated as the price of a cup of rice is $2. Find the price of 3 1/2 cups.

Therefore, the price of the cups of rice will be:

= 3 1/2 × $2

= $7

The price is $7.

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help I don't understand it
3x+4=9x+3

Answers

Answer:

x = 1/6.

Step-by-step explanation:

3x+4=9x+3

STEP 1: Subtract 4 from both sides...

3x+4 -4 = 9x+3 -4

3x = 9x-1

STEP 2: Subtract 9x from both sides...

3x - 9x = 9x-1 -9x

-6x = -1

STEP 3: Divide both sides by -6x...

-6x / -6x = -1/ -6x

x = 1/6x.

REMEMBER: 2 negatives are equal to positive.

Please help,
Will mark as brainliest

Answers

Answer: D

Step-by-step explanation:

5 x 3 = 15

8 x 3 = 24

the multipliers are both 3

so they are "similar shapes".

The other options don't have the same multipliers so they aren't right :)

Estimate using compatible numbers 1,710 divided by 32

Answers

Compatible numbers are close in value to the real numbers, which simplifies problem-solving and estimation of the solution. 1,7,10/32 has a quotient (integer division) of 53 and a remainder ("leftover") of 14. The dividend is 1,7,10, while the divisor is 32.

Explain about the compatible numbers?

Compatible numbers are those that divide equally into each other and are near to the numbers they are replacing. The outcome of a division is the quotient. 55,304 is not too far away from 56,000. 800 splits equally into 56,000 and is reasonably near to 875.

Our minds can occasionally spin when we are asked to find the total (in addition), difference (in subtraction), product (in multiplication), or quotient (in division). By rounding each number to the closest ten, twenty, fifty, or hundred, we employ suitable numbers to make the problem simpler to figure out mentally.

Numbers that are simple to mentally add, subtract, multiply, or divide are said to be compatible. To estimate a calculation, substitute compatible numbers for the actual numbers. Since it is simple to mentally calculate the sum of 800, the numbers 500 and 300 can be added together.

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average temperatures were measured at five randomly selected soups. the x-bar and r-bar were found 45.25 degree and 1.05 degree, respectively. the uclr and lclr are:

Answers

The UCLR (Upper Control Limit) and LCLR(Lower Control Limit) are 2.22 and 0 respectively.

Given that,

At five soups that were chosen at random, average temperatures were recorded. X-bar and r-bar positions were 45.25 degree and 1.05 degree, respectively.

To find : UCLR (Upper Control Limit) and LCLR (Lower Control Limit)

R-bar = 1.05 Degrees

X-bar = 45.25 Degrees

Sample Size , n=5

D3=0

D4=2.114

3 Sigma control limits of Range Chart

LCLR = D3*R-bar = 0*1.05 =0

UCLR =D4*R-bar = 2.114*1.05 = 2.22

The UCLR (Upper Control Limit) and LCLR (Lower Control Limit) are therefore 2.22 and 0, respectively.

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Lines L and M are parallel.


What is the value of x?

12

16

29

33

Answers

29 I’m pretty sure. Since 4x+8 and 124 are corresponding, they’re congruent. To solve, set 4x+8 and 124 equal to each other.


Which equation is equivalent to y = 3x-6?
0 3x-2y = 6
000
2x+3y = -6
=
O 3x-2y = 12
2x-3y = 18

Answers

The equivalent equation for the expression y = 3x-6 is none.

Equivalent equation:

If the two equations are said to be equivalent when they have the same solution set. Then it is called as Equivalent equation.

Given,

Here we have the expression y = 3x-6

Now, we need to find the equivalent equation.

In order to find the equivalent equation, we have to take some sample values for x,

The sample value of x as 1, 2, 3

Now, we have to apply these values on the given expression first,

Then we get,

x = 1 => y = 3(1) - 6 = -3

x = 2 => y = 3(2) - 6 = 0

x = 3 => y = 3(3) -6 = 9

Now, we have to apply these to the given equation and which has the same value of the given expression,

x = 1 => 3(1) - 2y = 6 = -2y = 6 - 3 => y = -3/2

x = 2 => 3(2) - 2y = 6 = -2y = 6 - 6 => y = 0

x = 3 => 3(3) - 2y = 6 = -2y = 6 - 9 => y = 3/2

This is not equal one.

Move on to the second one,

x = 1 => 2(1) + 3y = -6 => 3y = -6 - 2 => y = -8/3

x = 2 =>  2(2) + 3y = -6 = 3y = -6 - 4 => y = -10/3

x = 3 =>  2(3) + 3y = -6 = 3y = -6 - 6 => y = -4

This is not a equivalent one.

Move on to the third expression,

x = 1 => 3(1) - 2y = 12 = -2y = 12 - 3 => y = -9/2

x = 2 => 3(2) - 2y = 12 = -2y = 12 - 6 => y = -3

x = 3 => 3(3) - 2y = 12 = -2y = 12 - 9 => y = -3/2

This is not a equivalent one.

Finally we have to use the last one, then  we get,

x = 1 => 2(1) - 3y = 18 => -3y = 18 - 2 => y = -16/3

x = 2 =>  2(2) - 3y = 18 => -3y = 18 - 4 => y = -14/3

x = 3 =>  2(3) - 3y = 18 => -3y = 18 - 6 => y = -4

Therefore, none of them are the equivalent one.

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What is the slope of the line that
passes through these two points?
(-1,4)
(2,2)

Answers

Answer:

-2/3

Step-by-step explanation:

y2-y1/x2-x1

2-4/2-(-1)

-2/2+1

-2/3

Please mark as brainliest

Where do i start?
This is only a grade 11 math problem thanks

Answers

The smallest positive integer is 267 that should be multiply with given series.

What is meaning of series?

A series in mathematics is the total of a given set of terms. Real or complex numbers are typically used in these terms, but considerably more generality is conceivable.

Given series is 3, 6, 9, .... , 2400.

Assume that n should be multiply with the given series.

The series becomes 3n, 6n, 9n, .... , 2400n.

Now add the series:

(3n + 6n + 9n + ....+ 2400n)

Taking common 3n:

= 3n( 1 + 2 + 3 + ...+ 800)

Apply the formula the sum of the first n positive integers is n(n+1)/2

= 3n ×{800(800+1)}/2

=3n × 400 × 801

= 3n  × 4 × 100 × 3 × 3 × 89

= (4 × 100 × 3 × 3) × (3 × 89) × n

The product of (4 × 100 × 3 × 3)  is a perfect square. But 3 × 89 is not a perfect square. Thus n = 3 × 89 = 267.

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Can anyone write the equation of the graph?

Answers

The graph shows the absolute value function.

y = |x - 3| + 5

How to identify the function in the graph?

First, we can see that the shape of the graph is a "V", so we have an absolute value function.

We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form

y = |x - a| + b

Notice that the above function has a vertex at (a, b)

And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:

y = |x - 3| + 5

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solve this :)
-7m+10m-8=25

Answers

Answer:

[tex]\huge\boxed{\sf m = 11}[/tex]

Step-by-step explanation:

Given equation:

-7m + 10m - 8 = 25

3m - 8 = 25

Add 8 to both sides

3m = 25 + 8

3m = 33

Divide 3 to both sides

m = 33/3

m = 11

[tex]\rule[225]{225}{2}[/tex]

8.How do you know whether the graph of g(x) = a |x| is a vertical stretch or a vertical
shrink of the graph of f(x) = b |x|?

Answers

Answer

it’s because of the amplitude the value in the front controls the height

Step-by-step explanation:

A.

which expression is equivalent to 2 over 5 x 2 over 28

Answers

answer:

look

step-by-step explanation:

over? you would have 2 ÷ (5 x 2) ÷ 28. in fraction form.

When the p-value is used for hypothesis testing, the null hypothesis is rejected if?.

Answers

If the p-value is less than or equal to the selected significance level, the null hypothesis is rejected; otherwise, it is not. In other words, if p, reject[tex]H_{0}[/tex]; if p>, do not reject [tex]H_{0}[/tex].

In null hypothesis testing, this criterion, also known as (alpha), is frequently set to 05. If there is less than a 5% chance that the null hypothesis would be accepted and a result as spectacular as the effects that result would occur, the null hypothesis is rejected. When this happens, the result is said to be statistically significant.

The null hypothesis would be rejected if a statistical test was conducted with a threshold of relevance = 0.1, 0.05, & 0.01.

If the P value is smaller than alpha, the preset level of statistical significance, the alternative hypothesis is considered instead of the null hypothesis.

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Choose the correct description of the graph of the inequality x − 3 greater than or equal to 5. (5 points)
Open circle on 8, shading to the left.
Closed circle on 8, shading to the left.
Open circle on 8, shading to the right.
Closed circle on 8, shading to the right.

Answers

The correct description of the graph of the inequality x - 3 ≥ 5, is: D. Closed circle on 8, shading to the right.

How to Graph an Inequality?

An inequality statement compares two unequal quantities. When plotting the graph of an inequality, if the inequality sign involve is "< or >", an open circle is used to mark the value of the variable on the number line, while a closed circle is used when the inequality sign involved is, "≤ or ≥".

Given the inequality, x - 3 ≥ 5, solve for x:

x - 3 ≥ 5

Add 3 to both sides

x - 3 + 3 ≥ 5 + 3 [addition property]

x ≥ 8

This means the possible values of x are greater than or equal to 8. The graph of the inequality would have a closed circle at 8, with the line shaded to the right on the number line.

The correct description is: D. Closed circle on 8, shading to the right.

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Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.

A. Write an equation that can be used to solve for the number of days until the plant has a height of 30 cm. Use d to represent the number of days. Label each part of your equation with what it represents.

B. How much does the plant still have to grow?

C. Solve for the value of d. What does this value represen in this problem?

PLEASE SOLVE ALL

Answers

A) The equation is 22 + (d * 1/2) = 30

B) The plant that still have to grow 8 cm more

C) d = 16 days, d represents the number of days

Step-by-step explanation:

Given:

Initial height (basil plant at buying) = 22cm

Plant grows on everyday = 1/2cm

A) Given:

Total  height (to be grown) = 30 cm.

The equation is,

Initial height+ ( number of days * plant grows on everyday) =  Total height

22 + (d * 1/2) = 30  →  equation 1

B) The plant that still have to grow = Total height - Initial height

= 30 - 22

= 8 cm

C) Solving the value d using equation 1:

22 = 30 - (d * 1/2)

    44 = 60 - d 

      d = 16 days

Hence, A) The equation is 22 + (d * 1/2) = 30.

B) The plant that still have to grow 8 cm more.

C) d = 16 days, d represents the number of days.

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Find h in the parallelogram shown.
h= ? ft

Answers

The required value of h is 5.29 ft in the parallelogram shown.

What is Parallelogram?

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

As per the given figure, the dotted lines create a triangle, and the hypotenuse of that triangle is the opposite base of the parallelogram, indicating that it is likewise 8 feet long.

The base of the newly made triangle is one of the parallelogram's diagonals, which is 6 feet long.

According to Pythagorean's theorem, we have

h² + 6² = 8²

h² + 36 = 64

h² = 28

h = √28

h = 5.29

Thus, the required value of h is 5.29 ft.

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Answer:

4

I did the i-ready, hope this helps! :)

Find the rate of change between the following points:
(2,-1)
(-6,-5)

Answers

The rate of change between (2,-1) and (-6,-5) is 1/2.

What is the rate of change?

The slope is the ratio of the rate of change between two points (also known as the "slope") to (the change in the x coordinate).

Let (x,y)=(2,-1), (m,n)=(-6,-5)

Rate of change=(n-y)/(m-x)=(-5-(-1))/(-6-2)=1/2.

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50 Points
What is the best approximation of the solution to the system to
the nearest integer values?
O(7, -2)
O(-2, 6)
O (6, -2)
O(-2,7)

Answers

Answer:

B) (-2, 6)

Step-by-step explanation:

The solution of linear system of equations is the point of intersection of the lines.

Closer view of the graph gives us the point ( - 2, 6 ). See the attached.

Add vertical and horizontal lines from the point of intersection and take the closest values to the integer numbers on the x-axis and the y-axis. The numbers are -2 on the x-axis and 6 on the y-axis, therefore the answer is (- 2, 6).

The matching choice is B.

suppose the counts recorded by a geiger counter follow a poisson process with an average of 2 counts per minute. what is the probability that there are no counts in a 30 second interval? round your answer to 3 decimal places. suppose the counts recorded by a geiger counter follow a poisson process with an average of 2 counts per minute. what is the probability that there are no counts in a 30 second interval? round your answer to 3 decimal places.

Answers

The probability that there are no counts in a 30 second interval is 0.284

What is probability ?

Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Before we can determine the probability that a particular event will occur, we must first know the total number of outcomes.

Given that,

Assume that a Geiger counter records counts using a poisson process, with an average rate of 2 counts per minute.

0.284

P(X < 10 Seconds)  = P(X<1/6 minutes) = F(1/6) = 1-e-2*1/6 = 1-e-1/3 = 0.284

Therefore, the  probability that there will be no counts in a 30-second period is 0.284.

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The map shows a portion of downtown Mapledale. Main Street and 2nd Avenue are parallel. Use the map to answer each question. ​ Question​ Angle​ ​Which angle is an alternate exterior angle to angle 8? ​ Which angle is a same-side interior angle to angle 2?​ ​ Which angle is a corresponding angle to angle 3?​

Answers

a. Angle 4 is an alternate exterior angles to angle 8.

b. Angle 3 is same-side interior angle to angle 2.

c. Angle 1 is corresponding angles to angle 3.

What are Corresponding Angles?

Corresponding angles are located on the same corner and on the same side of a transversal.

For example, in the given image below, angles 1 and 3 are corresponding angles.

What are Alternate Exterior Angles?

Alternate exterior angles are any two exterior angles that lie on two different parallel lines but on alternate sides of the transversal that crosses the two parallel lines.

For example, in the image given, angles 8 and 4 are alternate exterior angles.

What are Same-side Interior Angles?

Same-side interior angles are interior angles that are located on the same side of the transversal but on different parallel lines that the transversal cuts across.

For example, angles 2 and 3 are same-side interior angles as seen in the given image.

What are Corresponding Angles?

Corresponding angles are located on the same corner and on the same side of a transversal.

For example, in the given image below, angles 1 and 3 are corresponding angles.

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Find the measure of the exterior angle.

Answers

Answer:

since the degree of the adjacent angles is 180°, we find the answer from that

Answer:

128°

Step-by-step explanation:

it is a right triangle, the bottom right one is, from the drawing, 90 °, the sum of the internal angles of all the triangles is 180 °, so making 180 - 90 - 38 we have the missing internal angle of 52 °.

Then we find the outer angle, the inner-outer sum is 180 °, 180 - 52 = 128 ° (your answer)

There are 9 adults waiting in line to get the newly released "grown-up" happy meal. What is the probability that
hey are lined up from shortest to tallest?

Answers

not an answer, but ik the probability that they'll get one - 0% because they have been discontinued already :D

jeremiah is testing the impact of different fertilizers on crop yields. six different fertilizers have been applied to one field. suppose he uses an anova to test whether or not there are differences in yields. how many treatments are in this test?

Answers

The impact of different fertilizers on crop which yields six different fertilizers have been applied to one field. here, the number of treatments in the test are 6.

Treatments are the numerous values of the factor.

The factor here is the effect of various fertilizers on crop yields.

Six different fertilizers were used.

As a result, the number of treatments equals the number of different fertilizers used = 6.

Fertilizers supply essential nutrients such as nitrogen to crops, allowing them to grow larger, faster, and produce more food. However, overfertilization can be a problem because it causes greenhouse gas emissions and eutrophication.

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Question 2 of 10 Which of the following is equal to the fraction below? (5/8)

Answers

The fraction that is equivalent to the fraction expression given as 5/8 is 40/64

How to evaluate the expression?

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

Fraction = 5/8

The above expression is a fraction and at the same time it is a rational number

The denominator of the fraction is 8

So, we start by rationalizing the expression by the fraction

This is represented as

5/8 = 5/8 * 8/8

Evaluate the products of the numerator

So, we have the following representation

5/8 = 40/8 * 1/8

Evaluate the products of the denominator

So, we have the following representation

5/8 = 40/64

The above expression cannot be further simplified

Hence, the equivalent expression of the fraction is 40/64

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Possible question

Which of the following is equal to the fraction below? (5/8)

40/64

0.556

2/5

FIND THE SLOPE FROM THE GRAPH
a.
b.
c.
d.

Answers

Answer:

A

Step-by-step explanation: Rise/run. is important

it goes up 4 and then over 6 and so we have to simplify which is 2/3 and snice it is going down it is negitive.

WILL MARK BRAINLIEST! Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.

Answers

Answer:the quadratic function in f(x)= a(x-h)^2+k is f(x) = - (x - 2)² + 2.I think this is false";}

Step-by-step explanation:

4, 7/4, -1/2, -11/4,
Arithmetic or Geometric

Answers

4, 7/4, -1/2, -11/4, is Arithmetic progression.

What is Arithmetic progression ?

An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.

Here the series is given

4, 7/4, -1/2, -11/4,.....

In series, take 1st and 2nd terms to know common difference.

the common difference is = 7/4 - 4

                                              = (7 - 16) / 4 = -9/4

Now, take 3rd and 2nd term

common difference = -1/2 - 7/4

                                 = (-2 - 7) / 4 = - 9/4

so, we get the common difference is -9/4.

By that we can clearly say that given sequence of series is a Arithmetic sequence.

Hence, 4, 7/4, -1/2, -11/4, is Arithmetic progression

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I NEED ANSWER URGENTLY

Answers

Y=-2x+2 I think but you can use a line equation calculator online to check x

Answer: Y=1

Step-by-step explanation:

Equation - y=mx+b

y2-y1

First point: )-4, 1)

second point: (2,1)

Finding the slope:

m=0

b = ?

1=0x+b

y=0x+1

so thats why its y=1

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