Answer: GCF = 6, LCM = 72
Step-by-step explanation:
The prime factorization of 18 is 2*3^2 and the prime factorization of 24 is 2^3*3
Therefore, the gcf is 2*3 = 6.
The lcm is 2^3*3^2 = 8*9 = 72
The number of frogs in a pond doubles every 7 months. The pond started with 2 frogs. how many frogs will there be after 35 months?
Answer:
64 frogs
Step-by-step explanation:
After 7 months: 2 x 2 = 4
After 14 months: 4 x 2 = 8
After 21 months: 8 x 2 = 16
After 28 months: 16 x 2 = 32
After 35 months: 32 x 2 = 64
The value y (in dollars) of a farm tractor x years after it is purchased is given by y=-6500x+80000.
a. Graph the Equation.
b. Interpret the slope and y-intercept.
A. Graph is in the picture
B. slope is -6500 and they-intercept is (0, 80000)
HELP PLEASE
What percent of 600 is 3 3/4?
Enter your percent as a fraction in simplest form by filling in the boxes.
Answer:
0.625%
Step-by-step explanation:
3 3/4 = 3.75
3.75 ÷ 600 × 100 = 0.625
Please help I need this please help please just me help
Answer:
It would take 4 minutes.
Step-by-step explanation:
Step 1: divide 63 by 3 to get how many hotdogs the champion can eat in a minute which equals 21
Step 2: Divide 84 by 21 to get 4 minutes
In the diagram, the measure of angle 3 is 105°.
A
1/2
4/ 3
5 6
8 7
Which angle must also measure 105?
041
O24
Answer:
<6
Step-by-step explanation: The total should be 180 and its common sense to know that measure <5 is not 105 degrees
Radio direction finders are placed at points A and B, which are 4.44 mi apart on an east-west line, with A west of B. The transmitter has bearings 39.3 degrees from A and 313.9 degrees from B. Find the distance from A.
Answer:
3.09 miles
Step-by-step explanation:
Given one distance and two angles, we will need to use the Law of Sines. For this, we need to know the internal angles of the triangle formed by the various bearing lines.
The angle between the bearings of A and B from the transmitter will be the difference of the reverse of the given bearings.
A from T = 39.3° +180° = 219.3°
B from T = 313.9° -180° = 133.9°
Then the angle at T between receivers is ...
219.3° -133.9° = 85.4°
The angle between A and T as measured at B will be ...
313.9° -270° = 43.9°
These angles and length AB can be used with the Law of Sines to find AT:
AT/sin(B) = AB/sin(T)
AT = AB(sin(B)/sin(T)) = (4.44 mi)·sin(43.9°)/sin(85.4°)
AT ≈ 3.09 mi
The distance of the transmitter from A is about 3.09 miles.
simplify this expression
Jess walked from her home to her friend’s house and arrived at 4.15. If it took Jess 25 minutes to walk this distance, then what time did she leave home?
Select one:
a. 3.55
b. 3.45
c. 3.50
d. 3.05
eleven more than twice x is 5 less than x.
Answer:
x= -2
Step-by-step explanation:
11+2x = 5 - x
6 = -3x
x = -2
If Mr. John plans to replace the carpet in his living room AND bedroom with carpet that cost $2.00 per square foot, how much will it cost to replace it if there are no other charges?
Answer:
1496
Step-by-step explanation:
A = lw
22 x 16 = 352 ( bedroom)
22 x 18 = 396 (living)
352 + 396 = 748
748 x 2 = 1496
hope this helps
pls mark brainliest
emily bought 4 pounds of grapes for $20 .find the unit price A)$5 B)15 c)1 D)20
Answer:
(a)5
Step-by-step explanation:
$20 ÷4 pounds of grapes = $5
Last week, Lisa's Fruit Stand sold 1/3 of a box of kiwis. Down the road, Dave's Fruit Stand sold 3 times as many boxes of kiwis as Lisa's did. How many boxes of kiwis did Dave's Fruit Stand sell?
PLEASE AWNSER WILL GIVE BRAINLIEST TO FIRST RESPONDER
Multiply the amount Lisa’s fruit stand sold by the amount more Daves fruit stand sold:
Daves fruit stand sold 3 times more:
3 x 1/3 box = 3/3 = 1 box
Answer: 1 box
Dave sold
[tex]\\ \tt\hookrightarrow 3(1/3)=3/3=1box[/tex]
Robyn saves $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each.
Which answer gives the best estimate for the number of books Robyn can buy?
88
2121
192192
200
Answer:
21 books
Step-by-step explanation:
Subtract $32.50 from her total savings:
$204 - $32.50 = $171.50
Divide the remaining money by the cost for each book from the sale:
$171.50 / $8.15 = 21.0429448
Round:
21 books
Factor the expression. 40a + 45
Answer:
5(8a + 9)
Step-by-step explanation:
40 and 45 can both be divided by 5, so this is a common factor.
-> 40 divided by 5 is 8
[] It has a variable, so it will be 8a
-> 45 divided by 5 is 9
Our final answer is 5(8a + 9)
-> To check we can multiply it out, 5 * 8a is 40a, 5 * 9 = 45
-> This works
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Which statement about quadrilateral LAMB is true?
Quadrilateral LAMB is a parallelogram because opposite sides are parallel.
QuadrilateralA quadrilateral is a polygon with four sides and four angles. Types of quadrilaterals are square, rectangle, kite, parallelogram, rhombus and so on.
A parallelogram is a quadrilateral in which opposite sides are opposite and parallel to each other.
Quadrilateral LAMB is a parallelogram because opposite sides are parallel.
Find out more on Quadrilateral at: https://brainly.com/question/16691874
list a example of a irrational number like any irrational number
The number pi is a famous irrational number since we cannot represent it as a fraction of two integers. Pi is approximately equal to 3.14159. The decimal digits go on forever without any pattern.
Another irrational number would be [tex]\sqrt{2}[/tex] which is approximately equal to 1.4142; the decimal digits for this number also go on forever without any pattern.
What is the sum of the polynomials? (6x+7+8^2) + (2x^2-3)
Answer:
2(x^2 + 3x + 34)
Step-by-step explanation:
(6x+7+8^2) + (2x^2-3)
= 6x + 7 + 64 + 2x^2 - 3
= 2x^2 + 6x + 68
= 2(x^2 + 3x + 34)
Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).
Answer:
g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]
Step-by-step explanation:
f(x) = 3x + 5
f[g(x)] = 3[g(x)] + 5
⇒ 3[g(x)] + 5 = x + 4
⇒ 3[g(x)] = x + 4 - 5
⇒ 3[g(x)] = x - 1
⇒ g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]
The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled 8 x squared, the height is labeled 4 x squared 15, and the base is labeled 8 x 10. Which expression represents the total perimeter of the pool edge? 12x2 15 20x2 25 12x2 8x 25 24x2 16x 50.
Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
How to calculate perimeter of a triangular figure?Perimeter of a triangle = Sum of lengths of all its 3 sides.
For the given case, we have:
Length of first side(hypotenuse) = [tex]8x^2[/tex] units
Height = [tex]4x^2 + 15[/tex] units
Base is of length [tex]8x + 10[/tex]
Thus, its perimeter is calculated as:
Perimeter of a triangle = Sum of lengths of all its 3 sides.
Perimeter = [tex]8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25[/tex] units
Perimeter = [tex]12x^2 + 8x + 25[/tex] units
Thus,
The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
Learn more about perimeter here:
https://brainly.com/question/10466285
Answer:
12x2 + 8x + 25
Step-by-step explanation:
i said so
hi who can help me do this 2quetion,I will mark brainlest
Step-by-step explanation:
[tex]8. log_{10}(2.15) = 0.332 \: then \: log_{10}(21500) = ..... \\ log(21500) = log(2.15 \times 10000) \\ = log(2.15) + log(10000) \\ = log_{10}(2.15) + log_{10}( {10}^{4} ) \\ = 0.332 + 4 log_{10}(10) \\ = 0.332 + 4(1) \\ log_{10}(21500) = 4.332[/tex]
9. log(2)=a, log(3)=b, then log(36)=______
log(36) = log(6*6) = log(6) + log(6)
log(36)= log(6) + log(6)
log(36) = log(3*2) + log(3*2)
log(36) = (log(3) + log(2)) + (log(3) + log(2))
log(36) = (a + b) + (b + a)
log(36) = a + b + b + a
log(36) = 2a + 2b
Answer:
4.3324384599
or you can just round it to 4.332
A scientist used 2 gallons of liquid for ever 7 hours he worked. He uses ------of a gallon each hour he works
Answer:
2/7
Step-by-step explanation:
2 ÷ 7 = 2/7 of a gallon each hour he works
An angle measures 36° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Measure of each angle is 108 and 72 degrees.
Step-by-step explanation:
Let's the angle be "n"
Supplementary angle = 180 °
n- (180-x) = 36
n - 180 + n = 36
Combine like terms
n - 180 + n = 36
2n - 180 = 36
Add 180 to both sides of the equation
2n - 180+180 = 36+180
Simplify
2n = 216
Divide both sides of the equation by the same term
2n/2 = 216/2
Simplify
n = 108
2n = 216
Measure of each angle
1st = 108
2nd = 180-108 = 72
[RevyBreeze]
Answer:
An angle measures 36° more than the measure of its supplementary angle. What is the measure of each angle?
Step-by-step explanation:
Let's the angle be "n"
Supplementary angle = 180 °
n- (180-x) = 36
n - 180 + n = 36
Combine like terms
n - 180 + n = 36
2n - 180 = 36
Add 180 to both sides of the equation
2n - 180+180 = 36+180
Simplify
2n = 216
Divide both sides of the equation by the same term
2n/2 = 216/2
Simplify
n = 108
2n = 216
Measure of each angle
1st = 108
2nd = 180-108 = 72
please help I will give 20 points
Answer:
C.) 8
Step-by-step explanation:
[tex]11- (1/2)^4 x 48 = 11- 1/16 x 48= 11-3= 8[/tex]
What are the steps to solve (5xy^3)^2(xy)^4?
Answer:
[tex]25x^6y^{10}[/tex]
Step-by-step explanation:
[tex](5xy^3)^2(xy)^4\\\\5^2*x^2*(y^3)^2*x^4*y^4\\\\25*x^{2+4}*y^{3*2}*y^4\\\\25*x^6*y^6*y^4\\\\25x^6*y^{6+4}\\\\25x^6y^{10}[/tex]
Remember to use your exponent rules
Hi!
Given:
[tex](5xy^3)^2(xy)^4[/tex]
Distribute the exponent:
[tex]5^2x^2y^6 * x^4y^4[/tex]
Multiply like terms (add the exponents to do it):
[tex]25x^6y^[/tex]^10
For more information on how to solve these types of questions, see:
https://brainly.com/question/219134
solve these problems
43+(-56) minus 78
-78 minus 65
-19 minus 4
-16 + 9
71 + (-18)
Answer:
Step-by-step explanation:
1. 43+(-56) - 78
43 - 56 - 78 = -91
2. -78 - 65 = -143
3. -19 - 4 = -23
4. -16 + 9 = -7
5. 71 + (-18)
71 - 18 = 53
Hope this helps!
Answer:
Step-by-step explanation:
43+(-56)minus 78= negative 91
43+-56= - 13 13-78= negative 91
-78 subtract 65=143 because when your in negatives it is opposite so when you subtract it is addition so what is -30 add 50=20. So what is -78 subtract 65=143
-19 subtract 4 =-23 because like I said in negatives it's opposite.
-16+9=7.
And last 71 + -18=53 because it is subtracting 18 since it is negatives.
Hope it helps :)
Sarah wrote the whole numbers from 1 to 85 on a sheet of paper. How many times did Sarah write the digit 7?
Answer:
18
Step-by-step explanation:
7, 17, 27, 37, 47, 57, 67
70, 71, 72, 73, 74, 75, 76, 77, 78, 79
The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answer as a decimal in the box.
Answer:
y = 17.5
Step-by-step explanation:
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x = k or y = kx
Find the value of the constant k
we have:
y = 7 and x = 2
substitute
7/2 = k
k = 3.5
Thus, the equation is equal to
y = 3.5x
Find the value of y when x = 5
substitute in the equation
y = 3.5(5) = 17.5
Or we can put as:
y = 7 * 5 /2
Calculate the product or quotient: y = 35/2
Answer = 17.5
[RevyBreeze]
Answer:
y = 17.5
Step-by-step explanation:
If y is proportional to x, then:
[tex]y = kx[/tex] (for some constant k)
Given y = 7 when x = 2:
⇒ 7 = 2k
⇒ k = 3.5
Therefore, [tex]y=3.5x[/tex]
So when x = 5:
⇒ y = 3.5 x 5
⇒ y = 17.5
A builder needs three pipes of different lengths. The pipes are feet long, feet long, and feet long. How many feet of piping is required in all? (Hint: Try dividing each radicand by 6. ) feet feet feet feet.
All the square root term are equal then they can be added. Then the length of piping is needed in all is 98√6.
What is the length?It is the measure of distance between the two points is called a length. It is a scalar quantity.
A builder needs three pipes of different lengths.
The pipes are 6√96 feet long, 12√150 feet long, and 2√294 feet long.
The length of pipes can be written as
[tex]6\sqrt{96} = 6 \sqrt{2*2*2*2*2*3} = 24\sqrt6[/tex]
[tex]12\sqrt{150} = 12 \sqrt{5*5*6} = 60\sqrt6[/tex]
[tex]2\sqrt{294} = 2 \sqrt{6*7*7} = 14\sqrt6[/tex]
Since all the square root term are equal then they can be added.
[tex]24 \sqrt{6} + 60 \sqrt{6} + 14\sqrt{6}\\\\98\sqrt{6}[/tex]
Thus, the length of piping is needed in all is 98√6.
More about the lenght link is given below.
https://brainly.com/question/8552546
Answer:
98 sqrt 6
Step-by-step explanation:
Jesus told me
5 + 5 equals whaar ???
Answer:
Its 10
Step-by-step explanation:
5 + 5 = 10
Addition can be defined as the process of adding two numbers. The sum of 5 and 5 is 10.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that we need to add 5 and 5. This can be simply understood with the help of an example. One hand has 5 fingers and as we need to add the 5 and 5 therefore, we need to add the number of fingers in the two hands which is equal to 10. therefore, we can write it as,
[tex]5 + 5 =10[/tex]
Hence, the sum of 5 and 5 is 10.
Learn more about Addition:
https://brainly.com/question/13167637
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Luke is 5 feet 11 inches and weighs 170 pounds. Using the body mass index chart as a guide, under which category would he fall? A. Underweight B. Normal C. Overweight D. Obese Please select the best answer from the choices provided. A B C D.
Answer:
Normal
Step-by-step explanation:
If your BMI is less than 18.5, it falls within the underweight range. If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.
Answer:
The answer is B
Step-by-step explanation:
Took The Test