Answer:
3
Step-by-step explanation:
Answer:
3
Explanation:The factors of 51 are 1,3,17,51; The factors of 87 are 1,3,29,87
Hope this helps =]
Frank wants to know how many people live in each household in his town. He conducts a random survey of 10 people and asks how many people live in their household. His results are shown in the table.
1 6 2 4 4 3 5 5 2 8
Calculate the MAD of the number of people per household.
Answer:
1.6
Step-by-step explanation:
The average of this ten number is (1+6+2+4+4+3+5+5+2+8)/10=4
So the MAD is (|1-4|+|6-4|+|2-4|+|4-4|+|4-4|+|3-4|+|5-4|+|5-4|+|2-4|+|8-4|)/10
=(3+2+2+0+0+1+1+1+2+4)/10
=1.6
At a garage sale, the most expensive item was marked $24.00 more than the cheapest item. The sum of the two items was $27.50. Find the cost of the least expensive item.
Answer:
$3.50
Step-by-step explanation:
27,50-24.00=3.50
Christina says that if she multiplies 23×25, her product will automatically be less than 23 because 25 is less than 1, meaning the product will only be a part of 23. Is Christina correct?
Answer:
Christina is incorrect.
Step-by-step explanation:
Since we are multiplying and our numbers are larger than 1, we know our product will be large. Your answer will be 575 :)
I hope this helps! :3
Please help me (triangle properties)
Answer:
1) yes
2) no
3) no
4) yes
5) yes
6) no
6) 3 < x < 17
7) 3 < x < 15
3/5 = 4m.
What does m equal?
First, flip the equation around.
3/5=4m
4m=3/5
Now simplify by dividing 4 from both sides.
4m=3/5
/4 /4
m=0.15 or 3/20
---
hope it helps
The value of m will be equal to 3 / 20.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3 / 5 = 4m. The value of m will be calculated as:-
First, flip the equation around.
3/5=4m
4m=3/5
Now simplify by dividing 4 from both sides.
4m = 3/5
m = 0.15
m = 3/20
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6) From a point on the ground 15 ft. From the base of a flagpole, the angle of elevation of the top of the pole measures 57°. How tall is the flagpole?
Answer:23.1 ft
Step-by-step explanation:
Given
Point is 15 ft away from the base of the flagpole
The angle of elevation is [tex]57^{\circ}[/tex]
from the figure, we can write
[tex]\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft[/tex]
The length of the flagpole is 23.1 ft
please i have a hw and i need help
Answer:
11: A. Some ferrets are longer than some fishers.
12: The range for the fisher is 25cm greater than for the ferret.
13. The mean for the ferret is 11cm less than for the fisher.
5. Probably 18 members.
6. Probably 210
The 1st 3 terms of an A.P., a, a+d, and a+2d, are the same as the 1st 3 terms of a G.P.( a is not equal to 0). Show that this is only possible if r=1 and d=0
Answer:
See Below.
Step-by-step explanation:
The first three terms of an A.P is equivalent to the first three terms of a G.P.
We want to show that this is only possible if r = 1 and d = 0.
If a is the initial term and d is the common difference, the A.P. will be:
[tex]a, a+d, \text{ and } a+2d[/tex]
Likewise, for the G.P., if a is the initial term (and it does not equal 0) and r is the common ratio, then our sequence is:
[tex]a, ar,\text{ and } ar^2[/tex]
The second and third terms must be equivalent. Thus:
[tex]a+d=ar\text{ and } a+2d=ar^2[/tex]
We can cancel the d. Multiply the first equation by -2:
[tex]-2a-2d=-2ar[/tex]
We can now add this to the second equation:
[tex](a+2d)+(-2a-2d)=(ar^2)+(-2ar)[/tex]
Simplify:
[tex]-a=ar^2-2ar[/tex]
Now, we can divide both sides by a (we can do this since a is not 0):
[tex]-1=r^2-2r[/tex]
So:
[tex]r^2-2r+1=0[/tex]
Factor:
[tex](r-1)^2=0[/tex]
Thus:
[tex]r=1[/tex]
The first equation tells us that:
[tex]a+d=ar[/tex]
Therefore:
[tex]a+d=a(1)\Rightarrow a+d=a[/tex]
Hence:
[tex]d=0[/tex]
Q.E.D.
f(x) = x^2 . What is g(x)?
Answer:
g(x) = (1/4x)^2
Step-by-step explanation:
Given f(x), we want to get g(x)
As we can see, the point (4,1) lies on the graph of g(x)
So the correct option will be the one where g(4) = 1
Let us take a look at the second option
g(x) = (1/4x)^2
Here,
g(4) = (1/4 * 4)^1 = 1^1 = 1
Please hello i appreciate it
Step-by-step explanation:
sorry dude my last brain cell ran after exam
help plz helpppppppppppp plzzzzzzzzz
it's 5 days, if you need an explanation feel free
Answer:
5 days
Step-by-step explanation:
for 100 people------------ last for 8 days
for 1 person-----------------last for 8x100=800 days
Therefore, for 160 people----------------last for(800/160)=5 days.
-4x+y=23 and 4x-9y=-15
Answer: x= -6; y= -1
Step-by-step explanation:
-4x + y = 23
4x - 9y = - 15
-4x + y = 23
y = 23 + 4x [Add 4x to both side]
4x - 9(23 + 4x) = - 15
4x - 207 - 36x = - 15
-32x - 207 = -15
-32x = 192 [Add 207 to both side]
x = -6 [Divide -32 from both side]
-4x + y = 23
-4(-6) + y = 23 [Plug in -6 for x]
24 + y = 23 [Subtract 24 from both side]
y = -1
The points (1, 4) and (−3, 2) are the endpoints of a diameter of a circle. What is the equation of the circle?
Answer:
Step by step
Step-by-step explanation:
Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.
That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)
Distance between the given points give the diameter and half of that is the radius length.
So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)
Thus equation required is: (x-a)^2 + (y-b)^2 = r^2
So, (x+1)^2 + (y-3)^2 = 5
The equation of the circle is (x + 1)² + (y - 3)² = 5
How to determine the circle equation?The endpoints of the diameter are given as:
(1, 4) and (−3, 2)
Start by calculating the midpoint using:
Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)
So, we have:
Midpoint = 0.5 * (1 - 3, 4 + 2)
Evaluate
Midpoint = (-1, 3)
So, the center (a,b) of the circle is:
(a,b) = (-1,3)
Calculate the length of the diameter using:
D² =(x₁ - x₂)² + (y₁ - y₂)²
This gives
D² = (1 + 3)² + (4 - 2)²
D² = 20
Take the square roots
D = 2√5
Divide by 2 to calculate the radius
r = √5
Square both sides
r² = 5
The equation of the circle is then represented as:
(x - a)² + (y - b)² = r²
This gives
(x + 1)² + (y - 3)² = 5
Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5
Read more about circle equations at:
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Hi im going to give Brainliest to the person who best answers! Thank you!!! :)
Answer: 2 over 3 = 5 over 6 and the other answer is 6 over 6
Step-by-step explanation: Hope this helps
Given that £1 = $1.58
a) How much is £920 in $?
b) How much is $553 in £?
please help!!!! will mark brainlest
Answer:
16.59
Step-by-step explanation:
πr^2/2
radius is 6.5/2 = 3.25
πx3.25x3.25/2= 16.59
What is the simplified form of this expression? `sqrt(8x^3 + 24x^2 + 18x)` A. ±(2x + 3)`sqrt(2x)` B. ±(4x + 6) `sqrt(2x)` C. ±(2x + 3)`sqrt(x)` D. ±(4x + 6)`sqrt(x)`
Answer: B
`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`
x = -0.25 and y = -6
Solve the expression: xy
Answer:
If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5
Hope this helps!
The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 23cm and a second side that is 4cm less than twice the third side, what are the possible lengths for the second and third sides?
Answer:
21 < x < 27
Step-by-step explanation:
Given that :
Side 1 = 23
Side 3 = x
Side 2 = 2x - 4
23 + x > 2x - 4
Collect like terms
x - 2x > - 4-23
-x > - 27
x < 27
Also ;
23 + 2x - 4 > x
23 - 4 > x - 2x
21 > - x
-21 < x
x > - 21
Hence,
Possible values of x :
x > 21 and x < 27
21 < x < 27
Which pair of fractions are equivalent? Click or tap the correct answer. 14 and 18 24 and 38 34 and 68 34 and 78 Reset
Answer:
3/4 and 6/8 = 3/4 and 3/4
Step-by-step explanation:
1/4 and 1/8
2/4 and 3/8
3/4 and 6/8
3/4 and 7/8
Which pair of fractions are equivalent?
1/4 and 1/8
Not equivalent
2/4 and 3/8
Not equivalent
3/4 and 6/8
Divide both numerator and denominator of 6/8 by 2
3/4 and 3/4
Equivalent
3/4 and 7/8
Not equivalent
Devon bought a 4 pound 10 ounce package of ground turkey to make turkey burgers for a family cookout. He wants to use about 7 ounces of turkey for each burger. (1 lb = 16 oz)
Answer:
C
Step-by-step explanation:
In total Devon can make 11 turkey burgers for a family cookout.
Given that, Devon bought a 4 pound 10 ounce package of ground turkey to make turkey burgers for a family cookout.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, a 4 pound 10 ounce
= 4×16 + 10
= 64 + 10
= 74 ounces
Devon wants to use about 7 ounces of turkey for each burger
So, number of burgers = 74/7
= 10.57
≈ 11
Therefore, in total Devon can make 11 turkey burgers for a family cookout.
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I’m helpless please help me
Answer: I think the last one sorry of I am wrong
Step-by-step explanation:
As a block of ice melts, its weight changes from 1 3/4 lb to 1/4 lb. This change takes 1/4 h. The ice melts at a constant rate. At what rate does the weight of the ice change? Show your work.
PLZ HELP ME
Answer:
2.25
Step-by-step explanation:
I think it is this in fraction form 2 1/4
Andy is wrapping gifts for the holidays. He has 3 rolls of wrapping paper that are 18- inches wide and 24- inches long. What is the total area that 3 rolls of wrapping paper could cover?
Answer:
1296 sq inches
Step-by-step explanation:
To start, you need to get the total area of each individual roll of wrapping paper. To do this, you need to multiply the length x width, which would be 18 x 24 = 432. Then, you have three rolls so you mutiply that by three, which is 432 x 3 = 1296. You add the unit, and that leaves you with 1296 sq inches.
What are the coordinates of the image D(0.5)(1, 2)?
Answer:
(0.5, 1)
Step-by-step explanation:
The coordinates of the image of the point D (0.5, 2 ) are 0.5 and 2.
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that:-
The image of point D ( 0.5 , 2 ) is given so the coordinates of the point will be 0.5 and 2.
Hence the coordinates of the image of the point D (0.5, 2 ) are 0.5 and 2.
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Find the area of a triangular garden if the sides are approximately 6 feet, 14 feet, and 13 feet (to the nearest square foot).
546 ft2
39 ft2
10 ft2
578 ft2
A power line stretches from the top of a building to the ground. The power line is 100ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building?
Answer:
86.6 ft.
Step-by-step explanation:
Can Somebody help me real quick?
Answer:The answer is (4 x -1)
Step-by-step explanation: How to solve this is tell the teacher I don’t know
i need help asap with this question it’s due tonight
Answer:
The answer is 44 cm^2
I hope it helps
Answer:
44 cm
Step-by-step explanation:
math. ...........
The distance between the two points pictured is d = Vn
Use the distance formula to find n. d = V(x2 – xı)2 + (v2-y)?
n =
Answer is 61
Feel free to take points :)
Answer:
n = 61Step-by-step explanation:
Given points:
(-3, -2) and (2, 4)Use distance formula:
d = [tex]\sqrt{(2 - (-3))^2 + (4 - (-2)^2}[/tex] = [tex]\sqrt{5^2 + 6^2}[/tex] = [tex]\sqrt{25 + 36}[/tex] = [tex]\sqrt{61}[/tex]n = 61Distance
√(4+2)²+(2+3)²√6²+5²√36+25√61n=61