Answer:
5m
Step-by-step explanation:
The GCF is 5m assuming that the question was actually:
5m⁴, 50nm, 15m³n²
Final answer:
The greatest common factor of the given monomials 5m⁴, 50nm, and 15³n² is 5m.
Explanation:
To find the greatest common factor of the given monomials 5m⁴, 50nm, and 15³n², we need to factorize each monomial and find the common factors.
The prime factorization of 5m⁴ is 5 * m * m * m * mThe prime factorization of 50nm is 2 * 5 * n * mThe prime factorization of 15³n² is 3 * 5 * 5 * 5 * n * nNow, we can find the common factors by looking at the factors that are present in each monomial.
The common factors are 5 and m.
So, the greatest common factor is 5m.
Evaluate
1/3 ÷ 2/5 =
Give your answer as a fraction in its simplest form.
Answer:
5/6
Step-by-step explanation:
Since 1/3÷2/5 can also be written as 1/3/2/5
So the ÷ can then be converted to × and 2/5 will change to 5/2
So let's solve
1/3×5/2
5/6
Since there is no common number that can divide the two
So the final answer is 5/6
Answer:
5/6
Step-by-step explanation:
1/3 divided by 2/5 is 2 1/2
this is because when you do this you use KCF
Keep Change Flip
you keep 1/3
change the sign to times
and flip the last fraction around to 5/2
Alan is printing photographs for an exhibition. He prints 11 photographs, and the total printing cost is $47.81. After 2 days, he gets 3 more photos printed. Alan estimates that the cost of the last 3 photos will be approximately $13.00. Is this a reasonable estimate?
Answer:
yes, this is a reasonable estimate
Step-by-step explanation:
47.81 x 3/11 = 13.04
The total cost for the first 11 photographs is $47.81.
To ascertain whether Alan's estimate for the cost of the last three photographs is reasonable, we will first compute the average cost of the first 11 photographs. Then, we will compare it to the estimated cost for the additional 3 photographs.
The total cost for the first 11 photographs is $47.81. To find the average cost per photograph, we divide this amount by the number of photographs:
$47.81 / 11 = $4.35 per photograph (rounded to the nearest cent).
Next, if Alan estimates the cost for 3 more photographs to be approximately $13.00, then the estimated cost per photograph for these would be:
$13.00 / 3 = $4.33 per photograph (rounded to the nearest cent).
Given that the average cost of the first 11 photographs is very close to the estimated cost of the additional 3 photographs, Alan's estimate is not only reasonable but also very precise.
Which function is a translation of the parent absolute value function?
f(x) = 2lx|
f(x) = lX+6l
f(x) = |x|
f(x) = -4lxl
Answer:
Answer is B on Edge 2021
Step-by-step explanation:
I need help with this so I don’t fail
MATH!!! I HAVE NO IDEA HOW TO DO THIS PLEASE SHOW ME THE WORK I WANNA KNOW HOW TO DO THIS FOR THE NEXT QUESTION!!!!
PLEASE MARK BRAINLIEST!
Answer:
Sorry I'm late!
Step-by-step explanation:
Formula ⇒ [tex]A = \frac{1}{2}bh[/tex]
[tex]A = \frac{1}{2}bh[/tex]
[tex]A = \frac{1}{2}(5)(7)[/tex]
[tex]A = \frac{1}{2}(35)[/tex]
[tex]A = 17.5[/tex]
The Area of the face of the triangle is 17.5 in²I hope this helps!
- sincerelynini
A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer region is 4 in. What is the area of the outer part of the rug?
To find the area of the outer part of the square rug, calculate the total area using the length of the entire square (x + 8)² and subtract the area of the inner square (x²), yielding (x + 8)² - x² square inches.
Explanation:The subject of this question is geometry - specifically area calculations in mathematics. The student is asking for the area of an outer part of a square rug. The main rug is comprised of a square within another square, with the side length of the smaller square being x inches and the distance in between the small and large square (representing the outer region) being 4 inches.
To calculate the area of the outer region, first, we need to calculate the side length of the outer (entire) square. This would be x + 2*4 = x + 8 inches (4 inches from each side). The total area of the rug would be squared side length of the outer square, which is (x + 8)² square inches.
Subsequently, the area of the inner part of the rug can be calculated as x² square inches (since it's a square). Therefore, the area of the outer part of the rug would be obtained by subtracting the area of the inner square from the total area of the rug, yielding: (x + 8)² - x² square inches.
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To find the area of the outer part of the rug, we first need to find the area of the entire rug and then subtract the area of the inner square.
Let s be the side length of the outer square.
The area of the entire rug is the area of the outer square:
Area of outer square = [tex]s^2[/tex]
Since the width of the outer region is 4 inches, we know that the side length of the outer square is [tex]\( s = x + (2 \times 4) = x + 8 \).[/tex]
So, the area of the outer square is:
Area of outer square = [tex](x + 8)^2[/tex]
Now, let's find the area of the inner square:
Area of inner square = [tex]x^2[/tex]
The area of the outer part of the rug is the difference between the area of the outer square and the area of the inner square:
Area of outer part = Area of outer square - Area of inner square
[tex]\[ = (x + 8)^2 - x^2 \][/tex]
Now, let's expand and simplify:
[tex]\[ = x^2 + 16x + 64 - x^2 \][/tex]
= 16x + 64
So, the area of the outer part of the rug is 16x + 64 square inches.
You are looking at two area rugs for your bedroom. One is a square with a side length of 6.3 feet. The other is a rectangle that is 4.8 feet by 8.2 feet. Which rug will cover the greater area? How much more area will it cover? Justify your response with mathematics.
Answer:
The square rug. The area of the rug is 39.69 ft² and is 0.33 ft² bigger than the rectangle rug.
Step-by-step explanation:
The find the area of a square, you multiply the length or the width (they all have the same length in a square) by the width (or the length), which would be the same exact number. So in that case—
The square has a side length of 6.3. To find the area of the square, we simply multiply 6.3 · 6.3 =39.69.
So, the area of the square is 30.69 ft²
————————————————————————————————————————
To find the area of a rectangle, you have to multiply the width by the length. (Or vise versa) This is showed by the following formula.
L·W=A
Where L=length, W=width, and A=area.
If the length is 8.2 and the width is 4.8, we can do the multiplicant equation that follows.
8.2·4.8= 39.36 ft².
Now that we have the area of both figures, we can compare them.
The square rug— 39.69
The rectangular rug— 39.36
Of we subtract the areas
39.69 and 39.36, we get the answer that the square rug is bigger by 0.33 ft².
Create a table of values for the equation Y= 2/7x + 3
here this is the answer
Write the series in expanded form.
Š (n − 3)(n+ 2)
7
=0
-6-6-2+0
-6-6-4 +0
-6-4-4-2
6- 4 – 4 +0
Answer:
It's B
Step-by-step explanation:
Just took this
Answer: B
Step-by-step explanation:
Explain hard to tell whether (2,-1) is a solution of the equation Y= 3X -2 without using the graph
Answer:
Considering the equation given:
[tex]y= 3x -2[/tex]
As a function:
[tex]f(x)= 3x -2[/tex]
[tex]$(2, -1)$[/tex] states for [tex](x, y)[/tex], which means, [tex]x=2[/tex] and [tex]y=-1[/tex]
[tex]f(2)= 3(2) -2\\f(2)= 6-2\\f(2)= 4[/tex]
[tex]4\neq -1[/tex]
Therefore, [tex]$(2, -1)$[/tex] is not a solution for the equation given and for the function.
Final answer:
To determine if (2,-1) is a solution of Y = 3X - 2, we substitute x=2 into the equation and simplify. The resulting y-value does not match the y-coordinate of the point, therefore (2,-1) is not a solution.
Explanation:
To verify whether the point (2,-1) is a solution to the equation Y = 3X - 2, we need to substitute the x-value of the point (2) into the equation and see if the resulting y-value equals the y-value of the point (-1). If they match, then the point is a solution of the equation.
Let's go through the step-by-step process:
Substitute the x-coordinate of the point into the equation: Y = 3(2) - 2.Simplify the right side of the equation: Y = 6 - 2 which equals 4.Compare this value to the y-coordinate of the point, which is -1.Since the calculated y-value (4) does not equal the y-coordinate of the point (-1), the point (2,-1) is not a solution of the equation Y = 3X - 2.
Write two numbers that are opposites and each more than 6 units away from 0.
Answer:
6 and - 6
Step-by-step explanation:
Two numbers that are opposites and each more than 6 units away from 0 is (8, -8).
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
Given that, two numbers that are opposites and each more than 6 units away from 0.
Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it (8, -8).
Therefore, two numbers that are opposites and each more than 6 units away from 0 is (8, -8).
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Hurry!!
Hans wants to find the smallest of the fractions Three-thirds, Two-thirds, Seven-ninths, and One-ninth. He uses 0 and 1 as benchmarks. Which fraction is closest to 0?
Answer:
two thirds
Step-by-step explanation:
I think that's the answer
What is the LCD (LEAST common denominator
Answer:
What is LCD or Least Common Denominator?
Step-by-step explanation:
Great question! The least common denominator (or more commonly known as LCD) is a term used in mathematics meaning the smallest denominator a fraction can have that is in common with the other fraction.
Hope this helps you!
*
(3) Sing Lu jogs around a park near her house 3 times a week. The
distance around the park is 0.8 mile. How many laps around the
park are necessary to run 6 miles?
**
*
Answer:
7.5 laps.
6 ÷ 0.8 = 7.5
I might be wrong.
Simplify the expression to a single numerical value. 3x2^3 x 2x3^2.
A.144
B.432
C.900
D.5,184
Answer:
The answer is B.432
Step-by-step explanation:
When you use a calculator but i used a app and simplified the question
need math help asap:)
Answer:
12
Step-by-step explanation:
8/6 = 1.333333333
That is the scale factor
then you mulitply by 9
9*1.3333333333=12
plz mark brainliest
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot.
You may use the law of sines, that states that in every triangle the ratio between a side and the sine of the opposite angle is constant.
So, in your case, we have
[tex]\dfrac{QR}{\sin(\hat{S})}=\dfrac{RS}{\sin(\hat{Q})}[/tex]
We know that [tex]\hat{S}[/tex] is 90 degrees, so its sine is 1. Also, we know that RS=26. So, the equation becomes
[tex]QR=\dfrac{26}{\sin(54)}[/tex]
Answer:
32.1 FT
Step-by-step explanation:
the sum of the digits 2014 is 7. How many whole numbers between 100 and 999 have 9 as the sum of their digits?
Answer:
45
Step-by-step explanation:
this should be correct :)
There are 9 in the 100's
108
117
126
135
144
153
162
171
180
There are 8 in the 200's (starting to see a pattern?)
207
216
225
234
243
252
261
270
There are 7 in the 300's
306
315
324
333
342
351
360
9+8+7+6+5+4+3+2+1 = 45
To find the number of whole numbers between 100 and 999 with a sum of 9 as their digits, we can use combinations. By selecting the digits using the given steps, we find that there are 50 such numbers.
Explanation:To find how many whole numbers between 100 and 999 have 9 as the sum of their digits, we can use the concept of combinations. We can select 3 digits (from 0 to 9) to form a number, and there are 10 choices for each digit. However, we need to consider the constraint that the sum of the digits should be 9. So, we can select the digits such that the first digit and second digit will have a sum of 9, and the third digit will also be 9. This can be done in the following steps:
Select a number from 0 to 9 for the first digit.Select a number from 0 to the remaining digits to get a sum of 9 (e.g., if the first digit is 5, then we can choose the second digit from 0 to 4).The third digit should always be 9 to satisfy the condition.Applying these steps, we have 10 choices for the first digit, 5 choices for the second digit (since the second digit cannot be greater than the first digit to achieve a sum of 9), and only 1 choice for the third digit. Therefore, the total number of whole numbers between 100 and 999 with a sum of 9 as their digits is 10 * 5 * 1 = 50.
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If √17 is a side length of a square, what does that mean about the area? Explain.
Answer:
The area is 17
Step-by-step explanation:
The area of a square is LxW and a square has equal sides which means the area equals √17^2
Answer:
17
Step-by-step explanation:
sqrt of 17 squared is just 17. IDRK how to explain but sqrt is x multiplied by itself equals the number in the sqrt.
What is 8/10 x 1/2= ??
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Step 1: Multiply
[tex]\frac{8}{10} * \frac{1}{2}[/tex]
[tex]\frac{8*1}{10*2}[/tex]
[tex]\frac{8}{20}[/tex]
[tex]\frac{8/4}{20/4}[/tex]
[tex]\frac{2}{5}[/tex]
Answer: [tex]\frac{2}{5}[/tex]
Answer:
[tex]\frac{4}{10}[/tex]
Step-by-step explanation:
[tex]\frac{8}{10}[/tex] x [tex]\frac{1}{2}=\frac{4}{10}[/tex]
[tex]\frac{8(1)}{10(2)}=\frac{4}{10}[/tex]
[tex](0.8)0.5=0.4[/tex]
One half of 0.8 is 0.4.
A line passes through the points (-3, -10) and (0, -5). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
Y = mx + b
Step-by-step explanation:
In the triangle, x = 3. Find y.
Answer:
y = 3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Assuming what you're talking about is a right triangle and the two sides are x, y= [tex]\sqrt{18} = \sqrt{9(2)} =\sqrt{9}[/tex] x [tex]\sqrt{2} = \sqrt[3]{2}[/tex]
write (2y)^3 without exponents
How many ordered pairs of consecutive integers (a, b) satisfy inequalities |b|+|a| ≤10 and a
What is the range of h(x)?
Answer:
multiply
Step-by-step explanation:
Jen uses 8.6 gallons of gasoline to drive 164.7 miles. Which is the best estimate for thenumber of miles per gallon of gasoline her vehicle gets?
A. 10 miles per gallon
B. 16 miles per gallon
C. 20 miles per gallon
D. 30 miles per gallon
Answer:
C
Step-by-step explanation:
164.7/8.6 = 19.15
about 20 miles per gallon
The best estimate of the rate of fuel consumption is C, 20 mi/gal
Which is the best estimate for thenumber of miles per gallon of gasoline her vehicle gets?To estimate the rate between miles and gallons, we just need to take the quotient between the given distance and the volume of gasoline consumed. Then we will get the rate:
R = 164.7mi/8.6 gal
R = 19.4 mi/gal
The closest value is the one at option C, which is 20 miles per galon.
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A 270-mile highway has a toll booth at the beginning, a toll booth every 45 miles, and then a final toll booth at the end. A
passenger vehicle must pay a $2.75 toll each time that it passes by a toll booth. There are no additional tolls when exiting
the highway.
Josh entered the turnpike at its beginning and exited after driving 120 miles. How much in toll fees did Josh have to pay?
Answer:
$8.25
Step-by-step explanation:
270 sectioned out by 45s is 7 toll booths on the highway. That means theres a toll booth at 0 mi, 45, 90, 135, 180, 225 and 270 mi. If Josh exits after 120 mi, he only hits the booth at the beginning and then the last one at 90 mi because he doesn't reach the next one at 135 mi. $2.75 per toll booth and if he passed 3, then 2.75 x 3 = $8.25.
This should be correct, hope it helps. :)
Use parentheses if necessary. secondly, evaluate the expression when x = 5. The Sum of n and 19 divided by the difference of n and 1. *
Answer:
The answer is 6
Step-by-step explanation:
1). (n + 19) / (n - 1)
x = n = 5
2). (5+19) / (5-1) = 24 / 4 = 6
Pls make as brainliest this answer
-8 (4 - 4a) -2 = 222
Answer:
a = 8
Step-by-step explanation:
-32 + 32a -2 = 222
-34 + 32a = 222
32a = 256
a = 8
Answer:
[tex]a = 8[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](-8 * 4) + (-8 * -4a) - 2 = 22[/tex]
[tex]-32 + 32a - 2 = 222[/tex]
Step 2: Combine
[tex](-32 - 2) + 32a = 222[/tex]
[tex]-34 + 32a = 222[/tex]
Step 3: Add 34 to both sides
[tex]-34 + 32a + 34 = 222 + 34[/tex]
[tex]32a = 256[/tex]
Step 4: Divide both sides by 32
[tex]32a / 32 = 256 / 32[/tex]
[tex]a = 8[/tex]
Answer: [tex]a = 8[/tex]
Which of the following is NOT a perfect square?
A) 49x^2
B) 64a^2
C) 121y^2
D) 125z^2
Answer:
d) 125z^2
Step-by-step explanation:
A perfect square is a number gotten by square an integer e.g. 4 = 2^2, 9 = 3^3. So, 4 and 9 are perfect squares.
lets take each option
a) 49x^2 = 7^2 * x^2 This is a perfect square
b) 64a^2 = 8^2 * a^2 This is a perfect square
c) 121y^2 = 11^2 * y^2 This is a perfect square
d) 125z^2 = (10^2 + 5^2) * z^2 This is not a perfect square