Answer:
1)D
2)D
3)A
4)B
5)Cannot Answer - No data
6)C
7)C
6 Questions answered for 30 points.
Step-by-step explanation:
Answer for the 1st Question,
Area of a cylinder can be calculated by,
Area of the cylindrical part = [tex]2\pi rL[/tex]
Area of the parts that cover the open parts of cylinder = [tex]2\pi r^2[/tex]
Therefor Total are of the cylinder = [tex]2\pi rL+2\pi r^2[/tex]
Area of the total cylinder = [tex]2*3.14*6.8*14.2+2*3.14*6.8^2[/tex]
=[tex]896.784[/tex]
Therefor best estimate will be D) 923 in^2
Answer for the 2nd Question,
ABC is a triangle.
By Pythagorean theorem it says,
[tex](AC)^2+(CB)^2=(AB)^2[/tex]
The distance from A to C = 6
The distance from C to B = 5
[tex](AC)^2=6^2=36[/tex]
[tex](CB)^2=5^2=25[/tex]
[tex](AC)^2+(CB)^2=(AB)^2=36+25=61[/tex]
Therefor [tex](AB)^2=61\\(AB)=\sqrt{61}[/tex]
Therefor Answer is D) Sqr 61
Answer to Question 3
To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)
Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.
Area of the Store 1 =[tex]\frac{1}{2} *(110+40)*110=8250[/tex]
Area of the Store 2=[tex]\frac{1}{2} *110*80=4400[/tex]
Therefore Revenue from Store 1 = $8250
Revenue from Store 2 = $4400
Answer is A) Store 1 has more sales revenue
Answer for Question 4
[tex]\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545[/tex]
You can straight away discard answer D because it is less than both 5/12 and 5/11.
Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)
[tex]\frac{11}{23} =0.4782[/tex], therefor this is not in between those two numbers.
Then it has to be [tex]\frac{115}{264} =0.4356[/tex]
Answer is B)
Answer for question 6
The equation of a straight line is of the form [tex]y=mx+c[/tex]
here m is the gradient and c is the intercept.
Find the intercept(c) by finding the y value when x value is 0, here it is +1.
Gradient (m) of the graph can be found by,
[tex]\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2[/tex]
Therefor the equation of the graph is,
[tex]y=2x+1[/tex]
Answer is C
Answer for question 7
[tex]\frac{7}{8} =0.875[/tex]
[tex]\frac{6}{9} =0.67[/tex]
We can discard answer A because the value is close to 0.5
We can discard answer B because 3/17 is a very small value (0.17)
[tex]\frac{53}{72} =0.73[/tex], This falls between the above 2 numbers.
Therefor answer is C
4 1/2 divide by 1 5/6
17x-3y=4 2x-4y=1 the solution to the system of equations is
ANSWER
[tex]x=\frac{13}{62}[/tex]
and
[tex]y= \frac{-9}{62}[/tex]e have
EXPLANATION
[tex]17x-3y=4---(1)[/tex]
[tex]2x-4y=1[/tex]
Let us make y the subject and call it equation (2)
[tex]2x=1+4y[/tex]
[tex]x=\frac{1}{2}+2y--(2)[/tex]
We put equation (2) in to equation (1)
[tex]17(\frac{1}{2}+2y)-3y=4[/tex]
[tex]\frac{17}{2}+34y-3y=4[/tex]
[tex]34y-3y=4- \frac{17}{2} [/tex]
Simplify to get,
[tex]31y= \frac{8-17}{2} [/tex]
[tex]31y= \frac{-9}{2} [/tex]
Divide both sides by 31,
[tex]y= \frac{-9}{2} \div 31[/tex]
[tex]y= \frac{-9}{2} \times \frac{1}{31}[/tex]
[tex]y= \frac{-9}{62}[/tex]
We put this value in to equation (2) to get,
[tex]x=\frac{1}{2}+2\times -\frac{9}{62}[/tex]
[tex]x=\frac{1}{2} -\frac{18}{62}[/tex]
We collect LCM to obtain,
[tex]x=\frac{31-18}{62}[/tex]
[tex]x=\frac{13}{62}[/tex]
Help please 10 minutes!!!!!!!!!
Substitute y = 2x - 15 to the second equation:
4x + 3(2x - 15) = -5 use distributive property
4x + (3)(2x) + (3)(-15) = -5
4x + 6x - 45 = -5 add 45 to both sides
10x = 40 divide both sides by 10
x = 4
Substitute the value of x to the equation y = 2x - 15:
y = 2(4) - 15 = 8 - 15 = -7
Answer: (4, -7)Four times the difference of a number and five is 24.
Translate the sentence into an equation.
4x19=76 tada there ya go pally!
Which choice is the closest estimate for the product? (5.4)⋅(3.8) A:18 B:15 C:24 D:20
Meridith picked 4 times as many green peppers as red peppers how many green peppers did she pick.
138 in =____yd___ft___in
138/36 = 3 R 30
30/12 = 2 R 6
3 yds 2 ft 6 in
how do i write 3y-9x=24 in function notation
To write an expression in function notation, you must solve it for the dependent variable.
Assuming that you want the expression to be written in the form [tex] y = f(x) [/tex] (i.e., assuming that x is the independent variable), we have to solve the expression for y, which means that we want y to remain alone on the left hand side, and move everything else to the right hand side.
So, first of all, we can add 9x to both sides to get
[tex] 3y = 9x+24 [/tex]
Finally, we divide both sides by 3:
[tex] y = 3x + 8 [/tex]
Principal is ____.
A- the original amount invested
B- the total amount earned
C- interest plus original amount invested
D- interest on a loan
One number is 3 1/3 larger than the other. The tripled sum of these numbers is 133.What is the largest number?
Let denote the two numbers with X and Y. n represent one number
Y=X + 3 1/3
The sum of the two numbers is: X+Y=X + X + 3 1/3
The triple sum is: 3(X + X + 3 1/3)
3(X + X + 3 1/3) = 133
3X + 3X + 10 = 133
6X + 10 = 133
6X = 123
X = 12 1/2 , Y= X+ 3 1/3 = 12 1/2 = 3 1/3 is the largest number
Answer:
[tex]23\frac{5}{6}[/tex]
Step-by-step explanation:
Let x be the smaller number,
Thus, according to the question,
Second number or larger number = [tex]x+ 3\frac{1}{3}[/tex]
Now, sum of these number = [tex]x+x+ 3\frac{1}{3}=2x+\frac{10}{3}[/tex]
Again according to the question,
[tex]3\times ( 2x + \frac{10}{3})= 133[/tex]
[tex]6x + 10 = 133[/tex]
[tex]6x = 123[/tex]
[tex]\implies x = \frac{123}{6}[/tex]
Thus, the larger number = [tex]\frac{123}{6}+3\frac{1}{3}=\frac{123}{6}+\frac{10}{3}=\frac{123+20}{6}=\frac{143}{6}=23\frac{5}{6}[/tex]
47% as a fraction or a mixed number
Riding the bus,Jasmine uses 2/3 of her money for bus fare.What is this number as a decimal?
0.3*
0.6*
0.8*
1.5*
Help asap!!!!!
pam has 3 times as many green beads as red beads and twice as many blue beads as green beads. She has 150 beads in total. How many blue beads are there?
what is the answer to 3(4g+6)=2(6g+9)
Answer:
Solution: All real numbers.
Step-by-step explanation:
[tex]3(4g+6)=2(6g+9)\qquad|\text{use distributive property}\\\\(3)(4g)+(3)(6)=(2)(6g)+(2)(9)\\\\12g+18=12g+18\qquad|\text{subtract 12g from both sides}\\\\18=18\qquad TRUE[/tex]
It's an identity equation.
If a number is raised to a power of 2, it is
(a) cubed
(b) powered
(c) squared
When a number is raised to the power of 2, it is squared. This means the number is multiplied by itself once.
Explanation:When a number is raised to the power of 2, it is squared. Squaring a number means multiplying it by itself. For example, if you have the number 4 and you square it (raise it to the power of 2), you would multiply 4 by 4, which equals 16. Therefore, 4 squared (or 4 to the power of 2) equals 16.
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You and a friend buy two fruit smoothies and leave a tip. You split the total and your half cokes to 3.60. What percent tip (in decimal form) did you and your friend leave if the fruit smoothies cost $3 each?
If you bought a $3 smoothie and your total (with tip) is $3.60, you have to divide 3.6/3. You get 1.2, which means you left a 20% tip, which would be .2 in decimal form.
To find the percent tip, divide the tip amount by the total cost and multiply by 100.
Explanation:To find the percent tip, we need to first calculate the total cost of the smoothies and the tip. Since the smoothies cost $3 each, the total cost of the smoothies is $3 * 2 = $6. Let's assume the tip amount is x dollars. The split total (including the tip) is $3.60, which is equal to half of the total cost plus the tip: $3 + $3 + x = $6 + x. Solving this equation, we can find the value of x:
$6 + x = $3.60 * 2$6 + x = $7.20x = $7.20 - $6 = $1.20The tip amount is $1.20. To find the percent tip in decimal form, we divide the tip amount by the total cost and multiply by 100: $1.20 / $6 * 100 = 20%. Therefore, you and your friend left a 20% tip.
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solve for x
21x+6
help please ?
subtract 6 from the 21x+6. Then divide by 21. The answer is going to be -6/21
you have 5/8 if a pepproni pizza. you divide the remaining pizza into 3 equal slices. what portion of the original pizza is each slice?
You have 5/8 remaining of a pizza. You want to divide it into 3 equal slices.
To find the answer, Divide 5/8 with 3, or multiply 5/8 x 1/3
5/8 x 1/3 = 5/24
Each portion is 5/24 of the original slice.
hope this helps
the density of pure gold 1,204 pounds per cubic foot? how many cubic feet is 481.6lbs of pure gold?
Answer:
Volume of Gold = 0.4 cubic feet.
Step-by-step explanation:
First we have to make sure the units are same as the units the answer is required in.
Answer should be given in cubic feet.
Density is given in pounds per cubic foot. And Mass is given in pounds. So units are in order. Therefore, we can go ahead with the calculation.
The Density of Gold = [Mass of Gold/Volume of Gold]
By substituting values,
[tex]1204[/tex] ponds per cubic foot = [[tex]481.6[/tex] pounds / Volume of gold]
Making Volume of God the subject of the equation,
Volume of Gold = [[tex]481.6[/tex] pounds / tex]1204[/tex] ponds per cubic foot ]
Volume of Gold = 0.4 cubic feet.
spent 305.43 on groceries she spent 213.20 in the first month how much did she spend in the second month
Total amount of money spent: 305.42
Money spent the first month: 213.20
Money spent on the second month: ??
Subtract 305.42 - 213.20= Amount of money spent the second month
Answer: 92.23
In Mathematics, the solution to this subtraction problem is to subtract the amount spent in the first month, $213.20, from the total amount spent on groceries, $305.43. The result is $92.23, the amount spent in the second month.
Explanation:This appears to be a simple subtraction problem within the domain of Mathematics. If the total amount spent on groceries is $305.43 and she spent $213.20 in the first month, then to find out how much she spent in the second month, you need to subtract the amount spent in the first month from the total amount.
To solve this, you do the following calculation: $305.43 - $213.20 = $92.23.
Therefore, she spent $92.23 on groceries in the second month.
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i need help with this please??
*(Wednesday)*
1. Simply. Show your work.
[tex]9[/tex] · [tex]5+4[/tex] Simplify The Exponents
[tex]45+4[/tex] Multiply [tex]9[/tex] to [tex]5[/tex]
[tex]49[/tex] Add [tex]45[/tex] to [tex]4[/tex]
*(Answer)*= [tex]49[/tex]
2. Model and Solve.
[tex]4[/tex] ÷ [tex]\frac{2}{3}=?[/tex] Use the KCF strategy
[tex]4[/tex] ÷ [tex]\frac{2}{3}=?[/tex] K = Keep the whole number or freaction on the left
[tex]4[/tex] · [tex]\frac{2}{3}=?[/tex] C = Change the division sign to multiply sign
[tex]4[/tex] · [tex]\frac{3}{2}=?[/tex] F = Flip the fraction or whole number
[tex]\frac{4}{1}[/tex] · [tex]\frac{3}{2}=?[/tex] Make [tex]4[/tex] into a fraction
[tex]\frac{12}{2}[/tex] Multiply the numerator to another and the denominator to another
[tex]6[/tex] Divide 12 to 2 to simplify the fraction
*(Answer)*= [tex]6[/tex]
3. Based on the diagram, describe how a parallelogram and rectangle are related.
They are the same is because the rectangle is the same as the parallelogram because it is same shade, however, sightly tilted.
4. Solve.
- [tex]\frac{5}{8}[/tex] · [tex]\frac{1}{2}= \frac{5}{16}[/tex]
- [tex]\frac{1}{4}[/tex] · [tex]\frac{4}{5}=\frac{4}{20}=\frac{1}{5}[/tex]
If you want than I can edit the answer to add Thursdays answer
Hope this helps
Person Who Answer: BangtanBoyScouts
How many miles did I run
you do 4 3/4 times 5= 95/4-23 3/4
Answer: 23 3/4the function is decreasing for -3<x<1
Look at the picture.
please help.......if Frans fudge recipe calls for 2 1/2 cups of sugar and she increases it by 2/5 of a cup, how much sugar does she use?
The time it takes an excursion boat to travel 36 miles downstream is the same as the time it takes the boat to travel 12 miles upstream. If the stream is 4 miles per hour, which of the following is the speed of the boat in still water.
The speed of the boat in still water is 8 miles per hour.
Explanation:To find the speed of the boat in still water, we can use the formula:
Speed of the boat in still water = (speed downstream + speed upstream) / 2
Given that it takes the same amount of time for the boat to travel 36 miles downstream and 12 miles upstream, we can set up the following equation:
36 / (v + 4) = 12 / (v - 4)
Where v is the speed of the boat in still water. Cross multiplying and solving the equation, we get:
36(v - 4) = 12(v + 4)
36v - 144 = 12v + 48
24v = 192
v = 8
Therefore, the speed of the boat in still water is 8 miles per hour.
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What is 0.64 divided by 4 in standard algorithm
The answer to your is 0.16 hope this will help you.
What is four more than the number of weeks in a group of days
The sentence 'four more than the number of weeks in a group of days' is converted into the equation is W = D/7 + 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Convert the sentence into an equation or expression.
The sentence is four more than the number of weeks in a group of days.
We know that in a week, there are 7 days. Then the equation will be
Week = (Days / 7) + 4
Simplify the equation, then the equation will be
W = D/7 + 4
The sentence 'four more than the number of weeks in a group of days' is converted into the equation is W = D/7 + 4.
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Identify the terms coefficients and constants in the expression 20x+13
Constant: 13
Coefficient: 20
Fill in the Blank, 1.) 2t+8>-4(t+1). t>_____
Hey there!!
Given equation :
... 2t + 8 > -4 ( t + 1 )
Using the distributive property :
... 2t + 8 > -4t - 4
Adding 4t on both sides :
... 6t + 8 > - 4
Subtracting 8 on both sides :
... 6t > - 12
Dividing by 6 on both sides :
... t > -2
Hence, the number in the blank is -2.
Hope my answer helps!!
If f(x)=x^2 and g(x)=6x+4, which value of x does (f+g)(x)=0
The answer is x = −2
open the attachment to get the show the explaining.