Mathematics Middle School

Owen used these steps to solve the equation 4x+7=1+2(2x+3) . Which choice describes the meaning of his result, 7=7 ?
a.The result is not correct because Step 2 has an error.
b.The solution is x=7.
c.No values of x make the equation true.
d.All values of x make the equation true.

Answers

Answer 1
The answer is d because 7=7 and whenever the two numbers equal each other, then all values of x are true, but when they don't equal each other then No values of x are true
Answer 2

The choice that describes the meaning of the result is,

all values of x make the equation true.

The correct option is d.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Owen used these steps to solve the equation,

4x+7 = 1+2(2x+3).

Simplifying,

4x + 7 = 1 + 4x + 6

4x + 7 = 4x + 6 + 1

4x + 7 = 4x + 7

Subtract 4x to both sides,

7 = 7.

That means, the equation has infinitely many solutions.

Therefore, all values of x make the equation true.

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Related Questions

complete this complex math problem
200/20×5+20-20

Answers

= 10 * 5 + 20 - 20
= 50 + 20 - 20
= 70 - 20
= 50

Hope this helped!

Dana painted a wall in her bedroom that is 10.5 feet tall and 23.5 feet wide.she used exactly 3quarts of paint to cover the wall.How many square feet will 1quart of paint cover? Please explain

Answers

82.25 square feet

Start off by multiplying 10.5 by 23.5, to get the area of her wall - 246.75 square feet. This took up 3 quartz of paint, so divide both 246.75 by 3 to find out how many square feet were painted with only 1 quartz, 82.25 square feet! :D Hope I helped!

Abigail is redecorating her house. A scale drawing of 2 rooms can be seen below. If each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail’s house?

Room measurements:
A: 9 cm
B: 10 cm
C: 9 cm
D: 8 cm
E: 7 cm

Answers

the complete question in the attached figure

we know that

scale factor r=[dimension scale drawing]/[actual dimension]
r=6/12=0.5 cm/ft
[actual dimension]=[dimension scale]/r

for dimension scale=9 cm
[actual dimension]=[9]/0.5=18 ft

for dimension scale=10 cm
[actual dimension]=[10]/0.5=20 ft

answer
the actual dimensions of Abigail’s house are 18 ft x 20 ft
the area of Abigail’s house is (18*20)=360 ft²

Which unit of measurement is best to measure the amount of water in a swimming pool?
a. mililiter
b. kiloliter
c. centiliter
d. kilometer

Answers

kiloliters is your answer
I would eliminate the answers with -meter in it because that measure length or depth. That leaves you with B and C. Then classify what the prefixes kilo- and centi- mean 
Kilo meaning 1000
Centi meaning 100. 
I would go with C. Centiliter

A zookeeper asks,”How many animals were in the zoo each month of last year?”is this question statistical or not?Explain you reasoning.

Answers

um this is a random question um try google

History (from Greek ἱστορία, historia, meaning "inquiry, knowledge acquired by investigation")[2] is the study of the past as it is described in written documents.[3][4] Events occurring before written record are considered prehistory. It is an umbrella term that relates to past events as well as the memory, discovery, collection, organization, presentation, and interpretation of information about these events. Scholars who write about history are called historians.

A plot of land is a pentagon with vertices Q(-4, 4), R(2, 4), S(4, 1), T(2, -4), and U(-4, -4).

Each unit of the coordinate grid represents one meter.

Fencing costs $24.75 per meter. What is the cost of placing a fence around the plot of land?

Answers

The measure of QR is 6 units, which is 6 meters, since every unit on the coordinate grid is 1 meter.
The measure of UT is also 6 meters.
The measure of QU is 8 meters.
To find the measure of RS, we use the distance formula:
[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]
We substitute the coordinates of R and S into the formula and have:
[tex]\sqrt{(2-4)^2+(4-1)^2} \\ =\sqrt{(-2)^2 + (3)^2} \\ =\sqrt{4+9} \\=\sqrt{13} \\=3.61[/tex]
To find the measure of ST we use the distance formula again, substituting the coordinates for S and T into the formula:
[tex]\sqrt{(4-2)^2+(1--4)^2} \\=\sqrt{(2)^2 + (1+4)^2} \\=\sqrt{4+5^2} \\=\sqrt{4+25} \\=\sqrt{29} = 5.39[/tex]
Now we find our perimeter by adding the sides together:  5.39 + 3.61 + 6 + 6 + 8 = 29 meters
Since fencing costs $24.75 per meter, we multiply this by our perimeter:
29(24.75) = $717.75 

An isosceles triangle has a base of 8 inches and legs measuring 12 inches how wide is the base of a similar triangle with legs measuring 36 inches

Answers

If the triangles are similar, the base should be 24 inches. The legs on the first triangle are 12 inches. To get 36 inches (the other triangle), we multiply 12 by 3. 12 x 3 = 36. Because you did that to the legs, you must also do it to the base. 8 x 3 = 24. Therefore, the base of the second triangle is 24 inches.

Han and Clare walk towards each other a constant rate, meet up, and then continue past each other in opposite direction. We will call the position where they meet up 0 feet and the time when they meet up 0 seconds - Han’s velocity is 4 feet per second. -Clare’s velocity is -5 feet per second. -where is each person 10 second before they meet up? - where is each person at the position -10 feet from the meeting place?

Answers

We can find the distance that they are at at 10 seconds by multiplying their velocity. 

Han - 40 feet away from Clare. 
Clare - -50 feet away from Han.

Han and Clare would be -10 feet away from the meeting place at -10 feet.  

Han is around a distance of 40 feet away from Clare, Clare is around -50 feet away from Han and both would be -10 feet far away from the meeting point.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Han's velocity is 4 feet per second, and their meeting point is 0 feet and 0 seconds. Clare's speed is -5 feet per second.

We can calculate their distance in 10 seconds by multiplying their velocity.

Han is around (10× 4)40 feet away from Clare.

Clare is around (10× -5)-50 feet away from Han.

Han and Clare would be -10 feet faraway from the meeting point.

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Stella's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 37 degree, and traveled a distance of 2.1 point, 1 kilometers before she fell in a straight line perpendicular to the ground. How far from the skydiving center did Stella land? Round your final answer to the nearest hundredth.

Answers

The situation is represented by a right triangle with 2.1km as the hypotenuse. The distance x from the center to the landing point divided by 2.1 is the cosine of 37 degrees. So x/2.1=cos37=0.7986 approx, x=2.1×0.7986=1.68 km.

1.68 km from the skydiving center did Stella land .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenusecos θ = Base/Hypotenusetan θ = Perpendicular/Basesec θ = Hypotenuse/Basecosec θ = Hypotenuse/Perpendicularcot θ = Base/Perpendicular  

According to the question

Stella's friends got her a skydiving lesson .

Her helicopter took off from the skydiving center, ascending in an angle of 37 degree .

i.e angle of elevation = 37°

then traveled a distance of 2.1 kilometers , 1 kilometers before she fell in a straight line perpendicular to the ground.

i,e

Her helicopter is making a right angled triangle with respect to ground

in which

Hypotenuse of triangle = 2.1 km

Perpendicular of triangle = 1 km

with angle of elevation = 37°

now,

the distance from the skydiving center did Stella land

According to the Trigonometric ratios

cos θ = Base/Hypotenuse

substituting the value in formula

cos 37°  =  [tex]\frac{Base}{2.1}[/tex]  

0.7986 * 2.1 = Base

Base = 1.68

Hence, 1.68 km from the skydiving center did Stella land .

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What is the simplified form of -3z^2(z+2)-4(z^2+1)

Answers

The ice rink sold 95 tickets for the afternoon

skating session, for a total of $828. General admission

tickets cost $10 each and youth tickets cost $8 each.

How many general admission tickets and how many

youth tickets were sold?

Could someone tell me if this is correct please

Answers

You are correct for 18a through 18c. Nice work.

18a. True (think of it as 21 is less than 27)
18b. False; 0.4 is the same as 0.40
18c. True. Three dollars is much greater than 20 cents
18d. False. 1.9 is the same as 1.90 and can't be smaller than itself
18e. False. The two sides are completely diferrent numbers.
18f. True. The value 6.2 is the same as 6.20
--------------------------------
For problem 19, you have to make the denominators the same. So multiply top and bottom of the first fraction by 10 to go from 4/10 to 40/100

If 40 is in the first box, then 40+40 = 80 is the final numerator. If this is over 100, then 80/100 = 8/10 meaning that 10 goes in the other box. 

The geometric mean of 8 and 32

Answers

A geometric mean is the n-th root of the product of n numbers.

In this case, there are 2 numbers, which means you take the square root. If there were 3 numbers, you'd take the cube-root, and so on...

First, multiply 8 and 32 to get 256. Now, take the square root of 256, which is 16. This is the geometric mean.

The geometric mean of 8 and 32 is 16.

Given :

The two numbers 8 and 32

To find:

The geometric mean of given numbers.

Solution

The geometric mean is given by the formula:

[tex]G.M=\sqrt[n]{x_1\times x_2\times x_n}[/tex]

n = num ber of terms

According to question : n = 2

The geometric mean of given numbers:

[tex]G.M=\sqrt[2]{8\times 32}\\\\G.M=\sqrt[2]{256}\\\\G.M=16[/tex]

The geometric mean of 8 and 32 is 16.

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What is X the two numbers are 46 and 71

Answers

the answer would be 63 bc 46+71= 117 then a triangle usaually equals 180 so 180 -117=63!!

A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 512 meters wide, and 612 meters tall. What is the volume of the recycling bin? 3534 m³ 360 m³ 429 m³ 51834 m³

Answers

the answer is 3534 meters square

Answer:

3534

I just agree with the comment above me.

Can someone help me find the value of b? Thank you!

Answers

I think the value of b is 130 degrees. Hope this helps!

If 200% of x is equal to 50% of y and x = 16, what is the value of y?

Answers

First, find what 200% of x is. 
Multiply x by 2. 
16 x 2 = 32 
Since it is equal to 1/2 of y, 
multiply it by 2 once more. 
32 x 2 = 64 
y = 64.
Hope this helps!

in a recent survey of middle school students about pizza toppings it was found that 25 students liked pepperoni pizza 31 like banana peppers pizza and 5 liked both pepperoni and banana peppers on their Pizza if 66 students where surveyed how many students do not like banana peppers on their Pizza

Answers

Using the principle of inclusion-exclusion, it was determined that out of 66 surveyed students, 15 do not like banana peppers on their pizza.

The number of students who do not like banana peppers on their pizza can be calculated as follows:

Students who like pepperoni pizza only = 25 - 5 = 20

Students who like banana peppers pizza only = 31 - 5 = 26

Students who do not like banana peppers = Total students surveyed - Students who like banana peppers - Students who like only pepperoni = 66 - 31 - 20 = 15 students

Jim is 3 times as old as his cousin and the difference in their ages is 18. How old is Jim?

Answers

cousin is 9 , jim is 27

The Jim's age is 27.

It is required to find the age of Jim.

What is average?

Number that is calculated by adding quantities together and dividing the total by the number of quantities.

Given that:

Let cousin's age = x

Let Jim's age = 3x

Since the difference between their ages is 18,

3x - x = 18  

Solving for x,

2x = 18  

x = 9  

Cousin's age is 9.

Jim's age is 27.

So, the Jim's age is 27.

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half of a number decreased by 6

Answers

The answer is:           " [tex]\frac{1}{2}[/tex] x  −  6 "  .

_______________________________________________

      →   in which "x" represents the "unknown number" .        

_______________________________________________

The expression written for: "Half of a number decreased by 6"  is:

               →      " [tex]\frac{1}{2}[/tex] x  −  6 "   ;  

_____________________________________________

               →   in which "x" represents the "unknown number" .

________________________________________

Explanation:

Let "x" represent the "unknown number".

→   "One-half" of a number , decreased by "6" ;

              →  is written as:   "1/2 of "x" ,  minus "6" .

Note that:  " 1/2 of x "  =  " [tex]\frac{1}{2}[/tex]  * x "   =   " [tex]\frac{1}{2}[/tex]  x "  .

Then, we subtract "6" ; from that value;  to write the expression:

________________________________________

The expression written for:  "Half of a number decreased by 6"  is:

                    "  [tex]\frac{1}{2}[/tex] x  −  6 " ;  

                     →            in which "x" represents the "unknown number" .

________________________________________

Hope this helps!

Best wishes in your academic endeavors — and within the "Brainly" community!

________________________________________

help its easy i just have to much work! i need 4-8

Answers

4. Substituting for y:
.. 7x -(6 -2x) = 3
.. 9x = 9 . . . . . . . . . add 6, collect terms
.. x = 1
.. y = 6 -2*1 = 4
(x, y) = (1, 4)

5. Substituting for x:
.. 3(y -4) +y = 12
.. 4y = 24 . . . . . . . add 12, collect terms
.. y = 6
.. x = 6 -4 = 2
(x, y) = (2, 4)

6. Substituting for x:
.. 4(y -5) -y = 4
.. 3y = 24 . . . . . . . add 20, collect terms
.. y = 8
.. x = 8 -5 = 3
(x, y) = (3, 8)

7. y = 2x -6 . . . . . add 2x to the first equation
Substituting for y:
.. 5x -(2x -6) = 9
.. 3x = 3 . . . . . . . add -6, collect terms
.. x = 1
.. y = 2*1 -6 = -4
(x, y) = (1, -4)

8. x = 2 -3y . . . . . add -3y to the first equation
Substituting for x:
.. y -(2 -3y) = -6
.. 4y = -4 . . . . . . . add 2, collect terms
.. y = -1
.. x = 2 -3*(-1) = 5
(x, y) = (5, -1)

what is 3/10 in money form?

Answers

There are many different ways to teach or explain this. I'll try one way which may be different from what your daughter was taught, but it may help you understand better. 1. Common Denominators Before I get to your exact problem, I think it'll still be insightful to talk a little about fractions and common denominators. The denominator is the number on the bottom of the fraction. If the denominators of a bunch of fractions are the same, the problem is easier to handle. For instance, in your fractions above you have 3/10, 9/10, and 1/10. These have the same denominator, which makes them easier to compare directly. One way to think about fractions is in terms of a pie. The denominator tells you the total pieces of pie and the numerator (top number) is, say, how many pieces of pie you are going to eat out of the total. So, for 3/10, this is like saying there are 10 pieces of pie and you are going to have 3 of them. So, it should make sense if we rank these in order of smallest to largest, then the rank is 1/10, 3/10, and 9/10, because eating 1 out of 10 pieces of pie is a lot less than eating 9 out of 10 pieces of pie. You could summarize this and say: if you compare fractions with the same denominators (bottom numbers), then the fraction with the smallest numerator (top number) is the smallest fraction and the fraction with the largest numerator is the largest fraction. Again, this method is nice if you have fractions with the same denominator. In fact you can take fractions with different denominators and do some math to get them to all have common denominators and then still use this method. For what you're doing, I think there is a more concrete way to understand how to order the fractions from smallest to largest. Let's look at that now. 2. Change Fractions to Decimals What I explained above is nice if all your fractions have the same denominator, but unfortunately that's not the case with your problem. You have 12 fractions all having different combinations of numerators and denominators. One nice thing with fractions is that any fraction can be converted to an equivalent decimal by dividing the numerator by the denominator. For instance, take the fraction 1/10. In your calculator press 1, divided by, 10. 1/10 = 0.10 The part I like about this is to think of the decimals as money! So 1/10 (of a dollar) = 0.10 (this is a dime; 10 cents). Using our example from above, 1/10 = 0.10 3/10 = 0.30 9/10 = 0.90 10 cents is less than 30 cents, which is less than 90 cents. This rank order also confirms our answer from above. Now if we convert the 12 fractions from above into decimals and think of the decimals as money, we should have a more intuitive feel for ordering them. 1/10 = 0.10 (10 cents; smallest) 1/6 ~ 0.167 1/4 = 0.25 3/10 = 0.30 1/3 ~ 0.333 3/8 = 0.375 1/2 = 0.50 3/5 = 0.60 3/4 = 0.75 4/5 = 0.80 7/8 = 0.875 9/10 = 0.90 (90 cents; largest) Does this help? Please write back if you need anything else. :-) Also, I'd encourage you to search our archives for additional information on fractions or for any future problems you may have--our archives are a great resource!
3/10$ mind blown. lol. you cant delete this because this answer is actually right. all you had to do was add the money sign to make it in money form. just simplify it for your answer. i bet your teacher will give you an A. good luck kid.

Matthew made lasagna for dinner he gave equal portions of 2/3 of the lasagna 23 friends what diagram could Matthew use to find a fraction of the whole is lasagneach friend of got

Answers

the answer is 2/69 because if u divide 2/3 and 23 you get 2/69

I really need help on this!!! God bless you!!

Answers

The answer is A.

The y intercept is 4 (written in the equation).
Every time x increases by 1, y increases by -2/3, which is the slope.

Hope this helps!

A computer program reduces the length of each side of an 8'' by 8'' square photograph by 25%. What is the area, in square inches, of the reduced photo?

Answers

36 in2 because it says reduce of each side by 25% not reduce the area by 25%

Jane is planting flowers in her garden. She planted 8 flowers on Saturday and 10 on Sunday. So far she planted 2/5 of her flowers. How many flowers does she have total?

Answers

she has 45 flowers, 18/2=9, 9*5=45
the answer is 45.  I hope this helped!!!                                                   

A figure is translated rotated or reflected describe its image

Answers

When transforming a shape, the original form is called 'object' and the transformed shape is called the 'image.' If the shape in question has been rotated, reflected or translated, it will remain the same size. As a result, the transformed image will be 'congruent' to the original object.

Final answer:

Transformations in mathematics involve translating, rotating, or reflecting figures, resulting in images that maintain their shape but may change position, orientation, or both. Examples include translations that shift figures, rotations that pivot them around a point, and reflections that create mirror images.

Explanation:

When a figure is translated, rotated, or reflected, its image undergoes specific transformations. In a translation, every point of the figure moves the same distance in the same direction, resulting in a figure that maintains its shape and orientation but changes its position. A rotation involves turning the figure around a fixed point known as the center of rotation, changing the direction of the figure while preserving its shape and size. Finally, a reflection is akin to looking into a mirror, where the figure is flipped over a line known as the axis of reflection, creating a mirror image that maintains the shape and size of the original figure but reverses its orientation.

These transformations can be visually represented and understood using diagrams, such as those involving ray diagrams for reflections. For example, in the reflection of an object in a mirror, light rays hitting the mirror generate new rays that appear to originate from a point behind the mirror, creating a virtual image. This conceptual understanding helps to explain how images are formed through various transformations, highlighting the precision and predictability of geometric operations.

PLZZZZ HELP WILL MARK BRAINLIEST

Which statement is true about the distribution?

A line ranging from 10 to 45 with boxes between 15 and 25, and 25 and 40.


A.The IQR is the best measure of variability because the distribution has no outliers.

B.Either the IQR or the range are good measures of variability because the distribution has an outlier.

C.The range is the best measure of variability because the distribution has an outlier.

D.Either the IQR or the range are good measures of variability because the distribution has no outliers.

Answers

Hey there!

The  correct answer is : D.Either the IQR or the range are good measures of variability because the distribution has no outliers.

Hopes this helps u :D

Answer:

answer is not that  asnwer is iat the bottom

Step-by-step explanation:

Either the IQR or the range are good measures of variability because the distribution has no outliers.

Find the volume of this sphere.

Answers

The Volume of the sphere is 267.946 repeating, the rounded answer though, is ≈268 

The formula I use is 4(3.14)(r^3)/3, I think it's easier, but that's just me. Hope this helps! ٩(ര̀ᴗര́)

l4-8(3-12)l - l5-11l

Answers

The answer is -36 and you can also use the calculator to help!

Hope you have the correct answer
Final answer:

The given mathematical expression is solved by simplifying within parentheses, performing multiplication, and understanding the absolute value concept, leading to a final answer of 70.

Explanation:

The given mathematical expression is |4-8(3-12)| - |5-11|. To solve this, we first need to simplify the expressions within the absolute value bars, following the order of operations (PEMDAS/BODMAS).

Step 1: Simplify inside the parentheses

3-12 = -9. So, the expression now is |4-8(-9)| - |5-11|.

Step 2: Multiply

8 times -9 equals -72. Substituting this, we get |4 - (-72)| - |5-11|, which simplifies to |4 + 72| - |5-11|.

Step 3: Simplify the absolute values

4 + 72 equals 76, so |76| is just 76 because absolute values ensure a positive outcome. Next, 5-11 equals -6, so |5-11| is |-6|, which is 6. Therefore, you have 76 - 6.

Step 4: Subtract

Lastly, subtracting 6 from 76 gives 70. So, the final answer to the given expression is 70.

Which completely describes the polygon
A: equilateral
B: equiangular
C: regular
D: congruent
the shape is Hexagon

Answers

A=equilateral hope that helped
Other Questions
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