Answer:
-3
Step-by-step explanation:
The given expression is:
[tex]\frac{\frac{a-3}{7} }{\frac{3-a}{21} }[/tex]
We can rewrite this as:
[tex]\frac{a-3}{7}\div \frac{3-a}{21}[/tex]
[tex]\frac{a-3}{7}\times \frac{21}{3-a}[/tex]
Factor -1 out of the first numerator:
[tex]\frac{-(3-a)}{7}\times \frac{21}{3-a}[/tex]
Cancel out the common factors;
[tex]\frac{-1}{1}\times \frac{3}{1}=-3[/tex]
Answer:
-3
Step-by-step explanation:
that's just the way it be.
the volume of a cylinder with a height of 25cm and a radius of 20cm
Answer:
5652 cm³
Step-by-step explanation:
V = 2πr² + 2πrh
= (2 × 3.14 × 3.14 × 20 ×20) + (2 × 3.14 × 20 × 25)
= 2512 + 3140
= 5652 cm³
What is the area, in square meters, of a right triangle with sides of length 8 meters, 15 meters and 17 meters?
Answer:
60 square meters
Step-by-step explanation:
The area of a triangle is with the formula A = 1/2 b*h. The base and height are the measurements of the sides of a triangle which form a 90 degree angle. When all three measurements are given, the base and height are the smallest since the largest is the hypotenuse. Here b = 8 and h = 15.
So the area is A = 1/2 * 8 * 15 = 60.
PLEASE I REALLY NEED HELP
I believe the correct answer is 36
The answer is B. ( that’s why it has the 1 in front of it) but I need help showing how I got that as an answer
Answer: The area is 221.558, with the explanation below.
Step-by-step explanation: The area of a circle is solved by the equation
π x r². You are given the diameter of 16.8, and the radius is half of it, so the radius = 16.8/2 = 8.4
Next, you need to plug your numbers into the equation:
Area = 3.14 x 8.4²
Area = 3.14 x 70.56
Area = 221.558
To divide a figure (such as an angle or line segment) in half is to __it
Answer: bisect
Step-by-step explanation:
A segment that is bisected is divided into 2 congruent (equal) lengths from the midpoint.
An angle that is bisected is divided into 2 congruent (equal) angles.
If we know that p → q is true and p is true, what do we know about q?
a. q is false
b. q is true
c. q must be negated
d. q could be either true or false
Answer:
B
Step-by-step explanation:
If p and q are both true, then p→q is true.
If p is true, q is false, then p→q is false.
If p is false, q is true, then p→q is true.
If p and q are both false, then p→q is true.
So if you know that p→q and p are both true, then q must be true (because if q is false, then p→q must be false).
Mr Gan has fewer than 20 candies.He wants to pack them into plastic bags.If he packs 3 candies in each bag,he will have 4 extra candies left over.If he packs 5 candies in each bag,he will be short of 2 candies.How many candies does he have?
Answer:
y = 13
Step-by-step explanation:
If Mr Gan packs 3 candies in each bag, he will have 4 extra candies left over. Therefore
3x + 4 = y
where 'x' represents the number of bags, and 'y' the total number of candies he has.
If Mr. Gan packs 5 candies in each bag, he will be short of 2 candies.
5x - 2 = y
To find the number of candies he has, we need to solve the system of equations ove:
3x + 4 = 5x - 2
6 = 2x
x = 3
Now, to find 'y':
5(3) - 2 = y
y = 13
Therefore, Mr. Gan has 13 candies.
Mr. Gan could have 7, 10, 13, or 16 candies.
Explanation:Let's assume that Mr. Gan has x candies.
If he packs 3 candies in each bag, he will have 4 extra candies left over. This means that the total number of candies can be expressed as 3n + 4, where n is the number of bags. Since we know that Mr. Gan has fewer than 20 candies, we can set up the inequality:
3n + 4 < 20
Solving this inequality, we find that n < 5.
If he packs 5 candies in each bag, he will be short of 2 candies. This means that the total number of candies can be expressed as 5m - 2, where m is the number of bags. Using the same reasoning, we can set up the inequality:
5m - 2 < 20
Solving this inequality, we find that m < 4.
Combining the two inequalities, we know that n < 5 and m < 4. Since n and m represent the number of bags, they must be positive integers. So the possible values for n are 1, 2, 3, and 4, and the possible values for m are 1, 2, and 3.
If we substitute these values into the equations, we can find the corresponding number of candies:
If n = 1, then 3n + 4 = 7 candies.
If n = 2, then 3n + 4 = 10 candies.
If n = 3, then 3n + 4 = 13 candies.
If n = 4, then 3n + 4 = 16 candies.
If m = 1, then 5m - 2 = 3 candies.
If m = 2, then 5m - 2 = 8 candies.
If m = 3, then 5m - 2 = 13 candies.
Since Mr. Gan has fewer than 20 candies, the only possible values for the number of candies he has are 7, 10, 13, and 16.
the perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)
Answer:
2x+3y
Step-by-step explanation:
first you group up the sides and subtract from the perimeter to get the last side. then combine all the sides to see if your answer is correct.
Which of the following shows the table representation of the exponential function f(x)=5*2^x
0-5
1-7
2-9
3-11
0-1
1-10
2-100
3-1000
0-10
1-20
2-40
3-60
0-5
1-10
2-20
3-40
Answer:
The correct option is 4.
Step-by-step explanation:
The given function is
[tex]f(x)=5(2)^x[/tex]
Put x=0,
[tex]f(0)=5(2)^0=5\times 1=5[/tex]
Put x=1,
[tex]f(1)=5(2)^1=5\times 2=10[/tex]
Put x=2,
[tex]f(2)=5(2)^2=5\times 4=20[/tex]
Put x=3,
[tex]f(3)=5(2)^3=5\times 8=40[/tex]
Only table 4 represents the correct value of the given function, therefore the correct option is 4.
The table representation of the exponential function f(x)=5*2^x is: for x=0, f(x)=5; for x=1, f(x)=10; for x=2, f(x)=20; for x=3, f(x)=40.
Explanation:To find the table representation of the exponential function f(x)=5*2^x, we need to calculate the values of f(x) for different values of x. Remember, any number raised to the power of 2 is being squared, but in this case, x can be any integer, and we're multiplying the result of 2 raised to that power by 5. Here's how you calculate the first few values:
For x=0: f(0) = 5*2^0 = 5*1 = 5 For x=1: f(1) = 5*2^1 = 5*2 = 10 For x=2: f(2) = 5*2^2 = 5*4 = 20 For x=3: f(3) = 5*2^3 = 5*8 = 40
Therefore, the correct table representation of the function f(x)=5*2^x is:
0 - 5 1 - 10 2 - 20 3 - 40
Kaylee cut half of a loaf of bread into four equal parts. What fraction of the whole loaf does each of the four parts represent?
1 whole divided by 4 parts is the same as saying each part is 1/4 or 25% of the whole.
A cylinder has a radius of 10 m and a height of 8 m what is the exact volume of he cylinder
[tex]\bf \textit{volume of a cylinder}\\\\ V = \pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8) \\\\\\ V=800\pi \implies V\approx 2513.27[/tex]
Answer:
V = 800π
Step-by-step explanation:
The formula for volume of a cylinder is V = πr²h where r is the radius of the base circle, and h is the height of the cylinder
We are given r = 10, and h = 8. Plug them in and solve for V...
V = π(10²)(8)
V = π(100)(8)
V = 800π
This is the EXACT answer. Leave it in terms of pi. If you multiply out pi, you have to round, then you have an estimated answer.
Carl earned $40 for 5 hours of mowing lawns. He earned $35 for 7 hours of babysitting.
Which statement correctly compares Carl’s earnings per hour for mowing lawns and
babysitting?
Answer:49,000
Step-by-step explanation:you just multiply it
Answer:
He earned $3 per hour for mowing lawns.
Step-by-step explanation:
I did the assignment
What is the solution to this equation? 5x - 4 + 3x = 36 A. x = 5 B. x = 16 C. x = 20 D. x = 4
Let's do this in steps, show your work! | Make sure to ask questions!
#1. Simplify 5x - 4 + 3 to 8x - 4.
8x - 4 = 36.
#2. Add 4 to both sides.
8x = 36 + 4.
#3. Simplify 36 + 4 to 40.
8x = 40.
#4. Divide both sides by 8.
x = 40/8. <------ It turned into a fraction because it's easier to not divide a decimal.
#5. Simplify 40/8 to 5.
x = 5.
Therefore, x = 5.
PLEASE PLEASE HELP ASAP
Answer:
I GOT U ITS C DIDN'T HAVE TIME TO WRITE EXPLANATION SEEMS U IN A HURRY
Step-by-step explanation:
Determine the mean of 28,40,53,39,45
Answer:
41
Step-by-step explanation:
Add the numbers together and divide by 5. 5 is the amount of numbers in the example.
Answer: The mean of all the numbers is 41.
Step-by-step explanation:
To find the mean of a set of numbers you must first add them all together. In this case, all of the numbers added together equaled 205. Then, you divide what ever your previous number was by how many numbers are in the original set all total. In this case, there was 5. So my last step would be dividing 205 / 5 = 41. 41 is my final answer.
please help me!!! who know the answer of this question?
Divide the volume by the height to find the area of the base:
3042 / 18 = 169 square cm
Since the base is square both the length and the width are the same,
so find the length take the square root of the base:
Side length = √169 = 13 cm
Given a mean of 100, and a standard deviation of 5.3, what is the Z-score for 130?
Answer:
5.66038
Step-by-step explanation:
Given
Mean= μ=100
SD= σ=5.3
Z-score of 130= ?
The z-score of any value tells us that how many standard deviations that value is from the average or mean.
The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.
z-score= (x- μ)/σ
z-score of 130= (130-100)/5.3
=30/5.3
=5.66038
please answer it is math
Answer:
The maximum number of points is [tex]140\ points[/tex]
Step-by-step explanation:
we know that
Essay question represent the 10% on Mrs. Moore's English final exam
so
To find the number of points in Essay questions multiply the percent by total questions and then multiply by the value of 10 points each
[tex]10\%=10/100=0.10[/tex]
[tex]0.10*50=5\ Essay\ questions[/tex]
[tex]5*10=50\ points[/tex]
The remaining questions are
[tex]50-5=45\ questions[/tex]
To find the number of points in the remaining questions multiply the number of remaining questions by the value of 2 points each
[tex]45*2=90\ points[/tex]
therefore
The maximum number of points is
[tex]50\ points+90\ points=140\ points[/tex]
I’m very confused on how to solve this question help will be nice.
Answer:
see below
Step-by-step explanation:
Let q = number of quarters
Each quarter is worth .25
The total is 9.50
.25q = 9.50
Divide each side by .25
.25q/.25 = 9.50/.25
q =38
she has 38 quarters
1226 divided by 6 step by step
Answer: 204.333333333
Step-by-step explanation:
Answer:
204.3
Step-by-step explanation:
6 cannot be divided by 1, so you move to the next number and divide it by 12
6 fits into 12 TWO times, so subtract 12 by 12.
Bring down the 2 from the original problem
6 cannot fit into 2, so the number is 0
Bring down the 6 from the original problem
6 fits into 26 FOUR times, there for the next answer number is four
If you need a remainder, there is a REMAINDER of 2
If you need a decimal, 0 will continue to be brought down, but nothing will fit into 20.
The decimal is .333 repeating
The attachment should make it more clear.
Please explain and help im giving away 20 points!
Answer:
B:960cm^3
Step-by-step explanation:
12*8=96
96/2*20=960∴
ans:960cm^3
What is the answer to this?
Answer:
Opt. D. AB=WX
Step-by-step explanation:
If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.
What is the probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube? Assume the number cubes are fair and have six sides. Express your answer as a fraction in simplest form.
Answer:
The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is 1/36
Step-by-step explanation:
There are total 6 possible outcomes of rolling a six sided fair cube. Therefore, the probability of rolling each number (1,2,3,4,5,6) is fair = 1/6
In this way,
The probability of rolling a 5 on the first number cube = p(A) = 1/6
The probability of rolling a 6 on the second number cube = p(B) = 1/6
The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is = p(A) * p(B) = 1/6*1/6 = 1/36
Answer:
1/36
Step-by-step explanation:
The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is 1/36
Step-by-step explanation:
There are total 6 possible outcomes of rolling a six sided fair cube. Therefore, the probability of rolling each number (1,2,3,4,5,6) is fair = 1/6
In this way,
The probability of rolling a 5 on the first number cube = p(A) = 1/6
The probability of rolling a 6 on the second number cube = p(B) = 1/6
The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is = p(A) * p(B) = 1/6*1/6 = 1/36
zoom in closely, pls help me
Answer: a = 11.1
Step-by-step explanation:
a(0.3 - y) + 1.1 + 2.4x = 0
Let y = 1.3 → a(0.3 - 1.3) + 1.1 + 2.4x = 0 → -a + 1.1 + 2.4x = 0 → a = 1.1 + 2.4x
(y - 1.2) = -1.2(x - 0.5)
Let y = 1.3 → (1.3 - 1.2) = -1.2(x - 0.5) → 0.1 = -1.2x + 0.6 → -0.5 = -1.2x → [tex]\dfrac{50}{12}=x\ \rightarrow\ \dfrac{25}{6}=x[/tex]
a = 1.1 + 2.4x
[tex]=1.1+2.4\bigg(\dfrac{25}{6}\bigg)[/tex]
= 1.1 + 0.4(25)
= 1.1 + 10
= 11.1
Answer: I agree with 11.1
Step-by-step explanation:
may somebody help me please and thank you.
x^2+3x-8-2x^2+x-5
Collect Like Terms and Simplify
-x^2+4x-13
Therefore D is the correct answer
QUICK !!
What is the image point of (-9,5) after a translation right 3 units and down 2 units ?
Answer:
(-6, 3)
Step-by-step explanation:
What you do is based off the image point (-9, 5). What you do is you go 3 units right which is like -9+3=-6. Then you will go 2 units down which is like 5-2=3.
(-6, 3) is your answer.
The image point of (-9,5) after a translation right 3 units and down 2 units is (-6,3).
We add 3 to the x-coordinate for the right translation and subtract 2 from the y-coordinate for the downward translation.
The image point of (-9,5) after a translation right 3 units and down 2 units can be found by changing the x-coordinate and the y-coordinate according to the translation vectors. Since we are moving right, we add 3 to the x-coordinate, and since we are moving down, we subtract 2 from the y-coordinate. The step-by-step process is:
Translate right 3 units: Add 3 to the x-coordinate (-9). So, -9 + 3 = -6.
Translate down 2 units: Subtract 2 from the y-coordinate (5). So, 5 - 2 = 3.
Therefore, the image point after the translation is (-6,3).
convert 8.25% to a decimal
8.25 divided by 100=0.0825
A circular pizza is being made that will fit in a box that is 14 inches by 16 inches. A 2-inch border is needed between the edge of the box and the pizza. What is the radius, in inches, of the largest pizza that can fit in the box?
Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.
Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.
The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)
And the radius is = [tex]\frac{10}{2}=5[/tex] inches.
So, the largest pizza that can fit in the box will have a radius of 5 inches.
Here is a picture of a cube, and the net of this cube. What is the surface area of this cube? Enter your answer in the box. cm² A cube and a net of the cube are shown. The edge length of the cube is labeled 13 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 13 centimeters.
Answer:
78 cm²
Step-by-step explanation:
since all sides are congruent you multiply the one measurement 6 times,so you do 13 × 6 equals 78
The slope of the tangent to a curve at any point (x, y) on the curve is x divided by y. Find the equation of the curve if the point (2, −3) is on the curve. x2 + y2 = 13 x2 + y2 = 25 x2 − y2 = −5 x2 − y2 = 5
[tex]x^2-y^2=-5[/tex]
Step-by-step explanation:The problem tells us that the slope of the tangent to a curve at any point [tex](x, y)[/tex] on the curve is x divided by y, that is:
[tex]m=\frac{x}{y}[/tex]
We also know that the point [tex](2,-3)[/tex] is on the curve. By taking a look on the options this point lies on both equations, namely:
[tex]x^2+y^2=13 \ because \ (2)^2+(-3)^2=13 \\ \\ x^2-y^2=-5 \ because \ (2)^2-(-3)^2=-5[/tex]
We know that the derivative is the slope of the tangent line to the graph of the function at a given point. So taking the derivative of both equations we have:
[tex]\frac{d}{dx}(x^2+y^2)=\frac{d}{dx}(13) \\ \\ \therefore 2x+2y\frac{dy}{dx}=0 \\ \\ \therefore m=\frac{dy}{dx}=-\frac{x}{y}[/tex]
And:
[tex]\frac{d}{dx}(x^2-y^2)=\frac{d}{dx}(-5) \\ \\ \therefore 2x-2y\frac{dy}{dx}=0 \\ \\ \therefore m=\frac{dy}{dx}=\frac{x}{y}[/tex]
So [tex]x^2-y^2=-5[/tex] also meets the requirement of the condition the slope of the tangent to a curve at any point (x, y) on the curve is x divided by y. Therefore this is the correct option.
Answer:
The correct option is D
Step-by-step explanation:
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