Answer:
A B C have the same pattern and D does not
Step-by-step explanation:
What is the first step you would take to solve the equation 1 1/2x 2 1/3
The first step would take to solve the equation 1 1/2x 2 1/3 is to convert the mixed fraction to improper fraction
What are fractions?Fractions are defined as the expressions that involves the part of a whole number or the part of a variable.
There are different types of fractions in mathematics. These fractions are namely;
Proper fractions.Improper fractionsComplex fractions.Simple fractions.Mixed fractions.Also, in converting mixed fractions to improper fractions, we have to multiply the denominator of the fraction by the whole number, then, add the value of the product to the numerator.
We have that;
1 1/2x 2 1/3
convert to improper fractions
3/2 × 7/3
Multiply
7/2
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Five times the sum of a number and -23.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We need to translate "five times the sum of a number and -23" into an algebraic expression.
\(\triangle~\fbox{\bf{KEY:}}\)
Can you see the word "sum" there? It tells us to add.So in this case we should add a number (let it be x) and -23:
\(\star~\large\pmb{x+-23}\)
Which is the same thing as
\(\star~\large\pmb{x-23}\)
Now we multiply this little expression by 5, which gives us
\(\star~\large\pmb{5(x-23)}\)
The parentheses around the expression indicate that we multiply 5 by the entire expression, and not just one term.
Hope it helps you out! :D
Ask in comments if any queries arise.
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show me how to solve 11(5c-1)-18=53c+11
Answer:
The answer should be : 55c+29 , not 55c+11
Step-by-step explanation:
minus + minus = PLUS
Day Care Tuition A random sample of 50 four-year-olds attending day care centers provided a yearly tuition average of $3987 and the population standard deviation of $630. Find the 90% confidence interval of the true mean. If a day care center were starting up and wanted to keep tuition low, what would be a reasonable amount to charge
Answer:
We have to find the 90% confidence interval for the mean
Given sample size
Sample mean
Population standard deviation
Here the confidence level is 90% then
And
The 90% confidence interval is
Here is the critical value at 0.05
From the tables
Now the 90% confidence interval is =
=
=(3840.44, 4133.56)
Hence the 90% confidence interval for the mean is (3840.44, 4133.56)
Put the numbers in order from least to greatest.
.2, -.4, .8,-.9, 1
A. -.4,-.9, 1, 2,8
B. -.9,-4, 1, .2, .8
C. -.9,-.4, .2, .8, 1
D. 1, 2, -4,8, -9
Answer:
B. -.9,-4, 1, .2, .8
Hope this helps!:)
Answer:
B not sure cuz i lit bit cant recognize the question
Step-by-step explanation:
Use the four intervals shown. I. (0, 2) II. (0, 2]III. [0, 2) IV. [0, 2]Based on the extreme value theorem, on which interval must the function f(x) = xhave both a maximum and minimum value?O IO IIO IIIO IV
Each interval (a, a), [a, a), and (a, a] represents the empty set, whereas [a, a] denotes the singleton set {a}
What do you meant by interval?
The empty set is represented by the intervals (a, a), [a, a), and (a, a, while the singleton set an is denoted by [a, a]. All four notations are often taken to denote the empty set when a > b. Both notations may be used in conjunction with other mathematical parentheses and brackets.For instance, in analytic geometry, linear algebra, and set theory, the notation (a, b) is frequently used to represent an ordered pair, the coordinates of a point or vector, or (sometimes) a complex number.Bourbaki created the notation]a, b[to signify the open interval for this reason. For ordered pairings, the notation [a, b] is also occasionally used, particularly in computer science.a ) [0, 2]
The empty set is represented by the intervals (a, a), [a, a), and (a, a, while the singleton set an is denoted by [a, a].
b ) iv
If a function f(x) is continuous on a closed interval [ a, b], then f(x) has both a maximum and minimum value on [ a, b].
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Simplify each expression using order of operations to reveal a fact about Earth Day. Earth Day is observed in this many countries... 6 + 2 18 + 200 – 8 x 10 2 e е
Answer:
YOOOOOOOOSHI :33
Step-by-step explanation:
Find the value Of x ? help please asap
Answer:
x= 85°
Step-by-step explanation:
Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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Coins are placed into a treasure chest, and each coin has a radius of 1.4 inches and a height of 0.0625 inches. If there are 230 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π =3.14
A: 0.38 in²
B: 126.39 in³
C: 353.88 in³
D: 88.47 in³
The total volume taken by the coins is 88.47 cubic inches, so the correct option is D.
How many cubic inches are taken up by the coins?The coins are cylinders with a radius of 1.4 inches and a height of 0.0625 inches.
Remember that the volume of a cylinder is given by:
volume = (height)*pi*(radius)^2
Where pi = 3.14
Then here the volume of each coin is:
V = (0.0625 in)*3.14*(1.4 in)^2 = 0.384 in³
And there are 230 coins, so the total volume is:
V = 230*0.384 in³ = 88.47 in³
So the correct option is D.
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Answer: D: 88.47 in³
Step-by-step explanation: So what you want to do is first find the individual volume of the coins. Use the volume formula: V = πr^2h
Take 1.4 and times it by itself
1.4 x 1.4 = 1.96
Now multiply 1.96 by 0.0625
1.96 x 0.0625 = 0.1225
And times 0.1225 by pi, or in this case, 3.14
0.1225 x 3.14 = 0.38465
Now you have found the individual volume of each coin. You are trying to find how much space all of the coins take up together. The question says that there is 230 coins in total. So times 0.38465 by 230 to find how much space all the coins take up.
0.38465 x 230 = 88.4695 in³
Now round it to the nearest hundredth: 88.47 in³
That is your answer.
Also I took the same test and I picked 88.47 inches cubed and got it right.
Proof:
Have a good day :)))
XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.
The values of the constants m and c include the following:
m = -1.3
c = 7.1
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;
2 = -7m + c ...equation 1.
-11 = 3m + c ...equation 2.
By solving the system of equations simultaneously, we have:
2 = -7m - 3m - 11
11 + 2 = -10m
13 = -10m
m = -1.3
c = 7m + 2
c = 7(-1.3) + 2
c = -7.1
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The perimeter of a rectangle is 64m and it’s length is 3 times it’s width.what is the length of the rectangle?
so umm this is the answer
Perimeter = 2(length + width)
P = 2(L+w)
We are told the length is 3 times the width...
L = 3w
64 = 2(3w + w)
64 = 2(4w)
64 = 8w
8 = w
L = 3w = 3(8) = 24 cm
Length is 24 cm
width is 8 cm
Determine the remaining sides and angles of the triangle ABC.
c=6 mi, B = 38.71°, C = 32.51°
Find the measure of angle A.
A=°
(Type an integer or a decimal.)
Find the length of side a.
а:
mi
(Round to the nearest mile as needed.)
Find the length of side b.
b=mi
(Round to the nearest mile as needed.)
9514 1404 393
Answer:
A = 108.78°
a = 11 mi
b = 7 mi
Step-by-step explanation:
The sum of angles in a triangle is 180°, so the third angle is ...
A = 180° -38.71° -32.51°
A = 108.78°
__
The remaining sides can be found from the law of sines.
a/sin(A) = c/sin(C)
a = sin(A)·c/sin(C) ≈ 0.946762 × 11.163896
a ≈ 11 mi
b = sin(B)·11.163896 ≈ 0.625379 × 11.163896
b ≈ 7 mi
Which number has a 4 that is 10 times greater than the 4 in 542?
A. 5,420
B. 54.2
C. 5.42
D. 0.542
Answer:
A. 5,420
Step-by-step explanation:
4 in 542 is in the tens place and 4 in 5,420 is in the hundreds.
The number A. 5420 has a 4 that is 10 times greater than the 4 in 542.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
The expanded form of 542 is 5×100 + 4×10 + 4.
So, 10 times greater than it should be a multiple of 100 or a digit in the hundreds place.
From the given options the number 5420 in the expanded form is,
5×1000 + 4×100 + 2×10 + 0.
So, The number 5420 has a 4 that is 10 times greater than the 4 in 542.
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Let σ(n) be the sum of all positive divisors of the integer n and let p be any prime number.
Show that σ(n) < 2n holds true for all n of the form n = p²
The statement that "σ(n) < 2n holds true for all n of the form n = p²" has been proved.
Let p be any prime number, and let σ(n) be the sum of all positive divisors of the integer n.
As p is a prime number, and 2 is the smallest prime number, so, p\(\geq\)2
So, the positive divisors of the integer n are: 1,p,p².
As σ(n) represents the sum of all positive divisors of the integer n.
σ(n)=1+p+p²
In order to prove that σ(n) < 2n,for all n of the form n = p².
1+p+p²<2p²
p²-p-1>0
It is know that, p\(\geq\)2.
So, p²-p-1\(\geq\)1
Thus, σ(n) < 2n holds true for all n of the form n = p².
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AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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which is greater? 0.4 or 0.127
Answer:0.4
Step-by-step explanation:
4 is bigger than one so it would be like 400>127
Answer:
0.4 would be the greater number
How many positive odd integers less than 10000 can be written using the digits 3 4 6 8 and 0.
Answer:
Step-by-step explanation:
125.
Place value relationship, Name the value of the given digits. The 9s in 299?
PLEASE I WILL DO ANYTHING JUST I NEED TO GET THIS LAST QUESTION DONE
ANSWER:
= 158 square inches
STEP BY STEP:
okay! so basically I like to ignore the net figure (just my personal opinion)
so we know that the rectangular prism has six sides (one top, one bottom, one front, one back, and two on each side)
so using that information, we can solve for the surface area!
FRONT AND BACK AREA:
- to solve for this area, we are going to take the 8" and multiply it by 5" to find the surface area of the front and the back panels
8*5 = 40 BUT WE HAVE TWO PANELS WITH THIS AREA
40*2 = 80
TOP AND BOTTOM AREA:
- to solve for this area, we are going to take 3" and multiply it by 8" to find the surface area of the top and bottom panels
3*8 = 24 BUT WE HAVE TWO PANELS WITH THIS AREA
24*2 = 48
SIDE AREA:
- to solve for this area, we are going to take 3" and multiply it by 5" to find the surface area of both the left and right sides
3*5 = 15 BUT WE HAVE TWO PANELS WITH THIS AREA
15*2 = 30
So now we have all of our areas and we will just add them together!
80+48+30
= 158 square inches
I hope this helped :)
Answer:
158
Step-by-step explanation:
its the right answer trust me I just can't be asked to explain it
Need help asp pleaseeeeeeee
Answer:
x=4
Step-by-step explanation:
You can use the app photo math, thats what I did you just take a pic of the problem and it shows you the steps and answer
find the equation of a line perpendicular to 2x + 2y= -10 that passes through the point (6,2)
Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4
EXERCISE Carlos is jogging at a constant speed. He starts a timer when he is 12 feet from his starting position. After 3 seconds, Carlos is 21 feet from his starting position. Write a linear equation to represent the distance d of Carlos from his starting position t seconds after starting the timer.
The linear equation that represent the distance d of Carlos from his starting position is d=3t+12 where d denotes the distance and t denotes the time.
What is the meaning of speed?
The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined.
Given that when Carlos is 12 feet from his starting position, starts a timer.
He is 21 feet from his starting position after 3 s.
He covers (21 - 12) = 9 feet in 3 second.
The speed of an object is the distance that covers in unit time.
The Carlos's speed is 9/3 = 3 feet/s.
After t seconds, he covers (3×t) = 3t feet.
The distance of his from his starting position after t seconds is (3t + 12) feet.
The linear equation is d = 3t + 12.
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Amir bought a camera 5 year ago for RM1500. He plans to sell his camera at a price of RM1800. What percentage of the profit or loss?
Answer:
20% profit
Step-by-step explanation:
(1800-1500) / 1500 = 0.2
so 20% profit
Answer:
20% profit
Step-by-step explanation:
Hope this helps
7.6 cm
3.7 cm
Find the area of the parallelogram.
Answer:
7cm²
Step-by-step explanation:
Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
More than two-thirds of undergraduate students who graduated with a bachelor's degree had student loan debt. The average student loan debt among these graduating seniors was $28,654. The average interest rate on student loans was 6.1%. How much interest did a student with $28,654 in student loan debt pay in the first year? Round to the nearest cent.
The interest paid for the loan is $1748
Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,
We need to find the interest paid for the same.
So,
Simple Interest = principal × time × rate / 100
= 28654 × 1 × 6.1 / 100
= 28654 × 0.061
= 1747.894
= 1748
Hence the interest paid for the loan is $1748
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Pls help
I need help asap
The distance from the tip of a slice of pizza to the crust is 7 inches.
Does this represent diameter, circumference, or radius?
ANSWER ASAP THANK YOU
Answer:
radius
Step-by-step explanation:
What do patterns do you notice about finding the area of a triangle?
Step-by-step explanation:
heres the formula A=12b(base)h(hight)
Answer:
Step-by-step explanation:
It has (1/2) included in the formula to find area