Evaluation: Decisions About Equivalence
Decide if the expressions in each pair are equivalent. Explain how you know.
1.
X + x + x + x and 4x
2.
5x and x + 5
Answers
Answer:
x+x+x+x=4x
x+5=5x
There equivalent
Step-by-step explanation:
x+x+x+x=4x:
count the number of x's they equal 4 so it would be 4x
x+5=5x
you have 5 x's it would equal 5x
Related Questions
EASY MATH QUESTION, EARN POINTS!
Answers
Answer:
g43 = 79.5
Step-by-step explanation:
geometric sequence = ar^(n-1), where a is first term and r is common ratio.
g23 = ar^(23-1) = ar^22 = 16.
g28 = ar^27 = 24.
now do g28/g23:
(ar^27) / (ar^22) = 24/16,
a^(1-1) r^(27-22) = 24/16,
a^0 r^5 = 24/16,
r^5 = 24/16 = 1.5,
r = (1.5)^1/5 ≈ 1.084.
ar^22 = 16,
a = 16/(r^22) ≈ 2.687.
so g43 = ar^42 ≈ (2.687)(1.084)^42 = 79.5
clearance items in a store are all marked down proportionally. A shirt with an original price of $32 is on clearance of $12. what is the clearance price of the shirt with an original price of $40?
Answers
Answer:
$15
Step-by-step explanation:
Set up a proportion where x is the clearance price of the $40 shirt:
\(\frac{32}{12}\) = \(\frac{40}{x}\)
Cross multiply and solve for x:
32x = 480
x = 15
So, the clearance price is $15
the graph shows the number of flowers that can be pollinated as the number of bees increase what is the unit rate A) 1/6 B) 6 C) 10 D) 30 Answer and i will giveaway robux and a gift card :D the picture i pasted shows the graph
Answers
Answer:6
Step-by-step explanation:
The answer is choice B, six
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answers
Hey there! :)
Answer:
-1/2.
Step-by-step explanation:
For a line to be perpendicular, the slope must be the negative reciprocal of the original. In this instance:
A line perpendicular to y = 2x + 7 must contain a slope that is the negative reciprocal of 2.
The negative reciprocal of 2 is -1/2. This is the slope of a perpendicular line.
Answer:
-1/2
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
what is -0.3(0.2)(12)
Answers
Answer:
-0.72
Step-by-step explanation:
(-.3)(-.2)= -0.06
(-.06)(12) = -0.72
-0.3 x 0.2 x 12 = -0.06 x 12
-0.06 x 12 = -0.72
Worth 15 pts.
Choose the correct answer
Answers
Answer:
Its c. c = 50.
Step-by-step explanation:
First, we need to figure out what the equation equals.
7 + 7/7 + 7*7 - 7 = x
PEMDAS
Parentheses, exponents, division/fraction, addition, subtraction.
7/7 = 1. So equation changed into 7 + 1 + 7*7 - 7 = x.
7*7 = 49. So equation changed again into 7 + 1 + 49 - 7.
Lets calculate it. 7 + 1 = 8 + 49 = 57 - 7 = 50. x = 50.
c is the only one who has a calculation of 50.
What is equivalent to 31/50 in decimal form?
Answers
Independent Practice; Problem Solving help please!
Answers
Answer:
4/5 - 2/ 15=
0.66666666666
0.66666666666 in fraction form is 2/3
Step-by-step explanation:
I hope this helps <3
Answer:
2/3 (0.6)
Step-by-step explanation:
To subtract fractions find the LCD then combine
2/3 times 3/2 = 6/6 =
try to explain so I can do other problems on my own pls and thank you
Answers
Answer:
6/6 or 1
Step-by-step explanation:
Adding Fractions
The formula for adding fractions is:
ab+cd=ad+bcbd
Example steps:
26+14=(2×4)+(6×1)6×4
=1424=712
Subtracting Fractions
The formula for subtracting fractions is:
ab−cd=ad−bcbd
Example steps:
26−14=(2×4)−(6×1)6×4
=224=112
Multiplying Fractions
The formula for multiplying fractions is:
ab×cd=acbd
Example steps:
26×14=2×16×4
=224=112
Dividing Fractions
The formula for dividing fractions is:
ab÷cd=adbc
Example steps:
26÷14=2×46×1
=86=43=113
The side lengths of cube 1 are 2/3 inch. and cube 2 is 2 inches. How many cube 1's to fill cube 2. if you don't understand I have a picture of the question.
Answers
Answer:
A or 3
Step-by-step explanation:
2/3+2/3=4/3 or 1 1/3
4/3+2/3= 6/3 or 2
Hannah has an eraser 1 1/2 in. long, a pencil 5 7/8 in. long, and a marker 7 5/8 in. long. Can she arrange these items into a triangle? Explain your thinking.
Answers
Hello !
- for a triangle to be constructible, the longest side must be less than the sum of the other two sides. -
already, the denominator must be the same everywhere to be able to calculate, therefore:
11/2 = (11 × 4) / (2 × 4) = 44/8
then you have to ask yourself if
44/8 is smaller than
57/8 + 75/8 .
57/8 + 75/8 = 132/8
44/8 ⟨ 132/8
Yes, the triangle is feasible.
I hope I helped you !!
Have a good evening !!!
What is the area of this figure? IXL assignment
Answers
Answer:
The answer should be 128? Let me know if i'm wrong.
The international space station has small cupboards that are used for storage. A cupboard is drawn below (redrew by me cause I'm using chrome book and computer)
1. What is a formula that can be used to find the area of one triangular section of the door?
2. How do you know the formula will work?
Answers
Answer:
\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)
Step-by-step explanation:
Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.
\(A = \frac{h_{b}+b}{2}\)
Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.
By using trigonometric relations we will see that the area is:
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
brainly.com/question/2217700
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The tape diagram below represents 100\%100%100, percent.
What percent is represented by the shaded area?
Answers
Answer:
Step-by-step explanation:
Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent
Chris wants to determine the most popular sport of the students at his school. Which sample should he survey?
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what is a conversion i need a visual Please Hurry
Answers
what part of 8 is 64
Answers
Answer:
I believe the answer would be 1/8 of 64
Step-by-step explanation:
I think it means what fraction of 64 is 8, so in that case, 8 would be 1/8 of 64.
This is correct because 8/8 equals 1 whole and 8x8 is 64
216 Divided by 31 (Please include the remainder) :D
Answers
2 divided 31 you can’t do so 0
21 divided 31 you cant do so 0
216 divided 31 is 6
6 times 31 is 186
So 216-186=30
You can’t do 30 times 31 so 0
Then bring down a 0 to 30 so it’s 300
Then 300 divided by 31 is 9
So 31 times 9 is 217
300-217= 83
83 divided by 31 is 2
31 times 2 is 62
83-62=21
21 divided by 31 you can’t do so add a 0
210 divided by is 6
31 times 6 was 189
210-189=21
You don’t have to keep going
Its 6.926 remainder 21
Two newspapers are comparing sales from last year.
• The Post sold 24,657 copies.
• The Riverdale Register sold fewer copies than Post.
Which expression could describe the number of newspapers the Riverdale
Register sold?
A. 24,657 x 1/2
B. 24,657 x 3/2
C. 24,657 x 2/2
D. 24,657 x 4/2
Answers
Answer:
A seems most likely
Step-by-step explanation:
Happy Holidays
e) A and B are the subsets of a universal set U. If n (A) = 63, n (B) =72.
n (AUB) ,= 115, n (AUB) = 20, find
(i) n (U)
(ii) n(u)
(iii) n (Anb)
(iv) n (only A)
Also illustrate the above information in Venn-diagram.
Answers
sorry, there are two (AUB), I think one should be n(AnB) and i.e n(AnB)=20.Right?
A semicircle is attached to the side of a rectangle as shown. What is the best approximation for the figure? Use 3.15 to approximate pi.
A. 15.5
B. 16.7
C. 26.1
D. 40.3
Answers
HELP PLEASE????????????????????
Answers
Answer:
20x - 8
Step-by-step explanation:
Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:
(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8
Which of the following describes two triangles that are similar to one another?
Answers
We have to determine, which of the following triangle is similar to another one.
Two similar triangle are always congruent. Two figures are similar if they have the same shape and size.
Two triangles are similar if their corresponding sides are proportional. Two polygons are similar if their corresponding side are proportional.
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Both triangles are similar by SSS theorem, because all three pairs are in proportion,
To calculate the proportion of sides,
Triangle 1; m1 = 67, m2 = 15Triangle 2 ; m1 = 15 , m2 = 95
\(\dfrac{67}{15}= \dfrac{15}{95}\)
Thus the angles are not proportion then the triangle are not similar.
Triangle 1; m1 = 24, m2 = 101Triangle 2 ; m1 = 65, m2 = 101
\(\dfrac{24}{65}= \dfrac{101}{101}\)
Thus the angles are not proportion then the triangle are not similar.
Triangle 1; m1 = 45, m2 = 80
Triangle 2 ; m1 = 59 , m2 = 45
\(\dfrac{45}{59}= \dfrac{80}{45}\)
Thus the angles are not proportion then the triangle are not similar.
Triangle 1; m1 = 71, m2 = 32Triangle 2 ; m1 = 71 , m2 =77
\(\dfrac{71}{71}= \dfrac{32}{77}\)
Thus the angles are in same proportion then the triangle are similar.
To know more about Triangles click the link given below.
https://brainly.com/question/17721279
a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow
Answers
Hey There!!
The answer to this is: The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is 5x. Then all you have to do is 20x5 and you get 100 ft.
Hope It Helps!~
edit this with the right answers
Answers
19. The y intercept and x intercept is 2 and -3 respectively
20. The y intercept and x intercept is 2 and 8 Respectively
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
The equation ,-2x +3y = 6
the y intercept is obtained when x = 0
-2(0) + 3y = 6
3y = 6
y = 6/3
y = 2.
The x intercept is obtained when y = 0
-2x = 6
x = 6/-2
x = -3
therefore the y and x intercept for the graph are 2 and -3 respectively.
For equation x+4y = 8
when x= 0
4y = 8
y = 8/4
y = 2
when y = 0
x = 8
therefore the y and x intercept are 2 and 8
learn more about linear equation from
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Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
Answers
In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Minimum value: 18
First quartile (Q1): 22
Median: 29
Third quartile (Q3): 36
Maximum value: 38
The box plot is created using these values. A box is drawn from Q1 to Q3 with a line inside the box at the median. Whiskers are drawn from the box to the minimum and maximum values. Any data points beyond the whiskers are plotted as individual points.
In this box plot, the data is dispersed fairly evenly, with no outliers beyond the whiskers. The box is centered around the median, indicating that the data is roughly symmetric. The lower half of the data is slightly more spread out than the upper half, as indicated by the longer whisker on the left side of the box. Overall, the box plot shows that the data is relatively consistent, with no extreme values.
Find m F.
F
x+ 14
DT
\10x-9
58°
A) 23°
C) 29°
E
B) 27°
D) 81°
Answers
Answer:
The correct option is A:
A) 23°
Step-by-step explanation:
Consider the line FV which is getting intersected by the segment DE, which divided the angle <EDV and <EDF with the line
We know that a straight line has an angle of 180°. Hence, the sums of angles which are formed due to the intersection of the segment DE, should be equal to 180°
<EDV + <EDF = 180°
<EDV + 10x - 9 = 180°
<EDV = 180 - 10x + 9
We know the sum of angles of the triangle is also 180°
<F + <EDV + <E = 180°
(x + 14) + (180 - 10x + 9) + 58 = 180
-9x + 261 = 180
-9x = -81
x = 9
As
<F = x + 14
Substitute x = 9
<F = 23°
Please please please help me I’m in honors math so our teacher makes us show our work
Answers
Answer:
You didn't put the question
Step-by-step explanation:
(will edit when the question is fixed)
Answer:
what is the question?
Step-by-step explanation:
A student formed a pattern in which each term is represented by a sum. The first four terms of the pattern are shown below.
sum table
A n squared
B 4n
C n + 3
D 2 to the power of n
Answers
Answer:Its C \pi r^{2}h
Step-by-step explanation:
did that before
Factor the expression using GFC/ Greatest common factor.
45+5