The cost of the hiking trip is 2/3 of the cost of last years trip this year trip cost $32 write and solve an equation to find the cost of last years trip
Answer:
(32/2)*3=48
Step-by-step explanation:
In order to find the answer, we must find one third of last year's trip. To do this, we can simply divide the cost of this years trip by two, 32/2=16.
Now if we multiply this this number by 3, 16*3=48, we can see that the total cost of last year's trip was $48.
If we'd like to turn this into one equation, it looks like this: (32/2)*3=48
Triangle A B C is shown with centroid G. Lines are drawn from each point of the triangle through the centroid and to the midpoint of the opposite side to form line segment A D, line segment B E, and line segment C F. The length of line segment D G is x minus 15 and the length of line segment G A is x + 7.
G is the centroid of triangle ABC.
What is the value of x?
What is the length of segment DG?
What is the length of segment AG?
What is the length of segment AD?
Answer:
37
22
44
66
Step-by-step explanation:
the value of x is 37
the length of segment DG is 22 units
The length of segment AG is 44 units
the length of segment AD is 66 units
took it on edg
hope this helps (:
The length from the vertex to the centroid is twice the length from the
centroid to the midpoint of the opposite side.
x is 37Segment [tex]\overline {DG}[/tex] is 22Segment [tex]\overline {GA}[/tex] is 44Segment [tex]\overline {AD}[/tex] is 66Reasons:
The known parameters are;
The centroid of ΔABC = Point G
Segments [tex]\overline {AD}[/tex], [tex]\overline {BE}[/tex], and [tex]\overline {CF}[/tex] are the medians of ΔABC
Length of line segments [tex]\overline {DG}[/tex] = x - 15
Length of line segments [tex]\overline {GA}[/tex] = x + 7
Required:
The value of x, and lengths of the segments of median [tex]\overline {AD}[/tex]
The median is divided at the centroid of the triangle to ratio 2:1
[tex]Length \ of \ line \ segment \ \overline{GA} = \dfrac{2}{3} \times \overline{AD}[/tex]
Therefore;
[tex]\overline{AD} = \mathbf{\dfrac{3}{2} \times \overline{GA}}[/tex]
[tex]Length \ of \ line \ segment \ \overline{DG} = \mathbf{\dfrac{1}{3} \times \overline{AD}}[/tex]
Therefore;
[tex]\overline{AD} = 3\times \overline{DG}[/tex]
Which gives;
[tex]\dfrac{3}{2} \times \overline{GA} = 3\times \overline{DG}[/tex]
Therefore;
[tex]\dfrac{3}{2} \times (x + 7) = 3\times (x - 15)[/tex]
3·x + 21 = 6·x - 90
21 + 90 = 6·x - 3·x
111 = 3·x
3·x = 111
[tex]x = \dfrac{111}{3} = 37[/tex]
x = 37
[tex]\overline {DG}[/tex] = x - 15
The length of line segment [tex]\overline {DG}[/tex] = 37 - 15 = 22
[tex]\overline {GA}[/tex] = x + 7
Length of line segment [tex]\overline {GA}[/tex] = 37 + 7 = 44
[tex]\overline {AD}[/tex] = [tex]\overline {DG}[/tex] + [tex]\overline {GA}[/tex]
Therefore;
Length of line segment [tex]\overline {AD}[/tex] = 22 + 44 = 66
Learn more here:
https://brainly.com/question/7698132
2. What is the variable in this expression? 4y-5
Answer:
y
Step-by-step explanation:
A variable is a letter that holds the place of a number. y in this expression matches that description, so it is the variable.
Write the phrase as an expression.
a number b squared
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second number?
Answer:
10:40
Step-by-step explanation:
All copper has a density of 8.83g/cm3. True Or False.
please help
Answer:
False
Step-by-step explanation:
Copper actually has about 8.96 g/cm3
Answer: No
Step-by-step explanation:
The perimeter of a rectangle is found by multiplying the sum of the length, shown as LaTeX: ll, and the width, shown as LaTeX: ww, by LaTeX: 22. The length of a certain rectangle is LaTeX: 2020 . Which inequality shows that the perimeter of this rectangle is less than LaTeX: 5757 units?
Answer:
40 + 2W < 57
Step-by-step explanation:
Given that:
Perimeter of a rectangle (P) :
P = 2(length(L) + width(W))
If the length of a certain rectangle L = 20 ; which inequality shows perimeter of rectangle is less than 57 units
P = 2(length(L) + width(W))
40 + 2W < 57
Suzy plants 4 saplings in a row in her garden the distance between two adjacent saplings in 3/4 meters find the distance between the first and the last sapling? please show me how to work this out with the answer
Answer:
The answer is 3 meters.
Step-by-step explanation:
Suzy has 4 saplings the distance between two of the is 3/4
So if the distance from one to another is 3/4 then you have to do 3/4 (.75) times 4. Giving you the answer of 3 meters.
Answer: three meters
Step-by-step explanation:
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true?
x =
Answer: -1
Step-by-step explanation:
Answer: -1
Step-by-step explanation: I got it right :))
Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line
Answer:
y = 4x - 3
Step-by-step explanation:
When x = 0, y = -3
When y = 0, x = 3/4
use the distributive property to expand 2(6x-5y)-7
Give the domain and range.
The domain is:
The range is:
Answer:
Domain: (-4,4)
Range: (-4,6)
Step-by-step explanation:
Domain is found by viewing the distance from the points on the x-axis (left to right)
Range is found by viewing the distance from the points on the y-axis (up and down)
For domain, the furthest point on the left is (-4,3). You have to take the x from that furthest to the left point (which is -4) to get the first x in the domain (x,y). The furthest point to the right is (4,6). The x on that furthest point is 4. Put them together in the (x,y) form with the furthest left being x and the furthest right being y. That makes the domain (-4,4).
Same goes for range but instead of it being left to right it will be down and up.
Highest point is (4,6)
Lowest point is (0,-4)
Take the y from each one and put them in (x,y) form, this would make your range (6,-4).
Always put the lowest one first (bottom to top)
Always put the furthest to the left first (left to right)
The (x,y) point for either domain or range will always be (lowest value, highest value). In other words, (lowest number, highest number).
what is the answer when you simplify?.
Answer:
C
Step-by-step explanation:
Because when you multiply 4³ × 4^4 = 16384
And 4^9 = 262144
(divide) 16384/262144 = .0625
.0625 = [tex]\frac{1}{16}[/tex]
[tex]\frac{1}{4^2}[/tex] = [tex]\frac{1}{16}[/tex]
because 4 * 4 = 16
HOPE THIS HELPED!!!
What's the circumference of a circle with a diameter of 9 inches?
Answer:
9pi
Step-by-step explanation:
circumference= 2 (pi) (r)
radius = diameter \ 2
r = 9 \ 2 = 4.5in.
c = 2 (pi) (4.5)
c = 9pi or 28.3in.
Hope this helps!
The least common multiple of two numbers is 24. Which could be the two numbers?
6 and 8
4 and 6
8 and 16
4 and 12
Answer:
a
Step-by-step explanation:
Answer:
A=6 and 8
Step-by-step explanation:
Hope it is correct
Athena bought x boxes of cookies to bring to a party. Each box contains 10 cookies. She decides to keep two boxes for herself. She brings 70 cookies to the party. Which equation can be used to find the number of boxes, x, Athena bought?
Given parameters:
Number of boxes Athena bought for the party = x
Number of cookies per box = 10
Number of cookies she brought to the party = 70
Number removed = 2 boxes
Unknown:
Equation of the number of boxes = ?
Solution:
1 box of cookies contains 10 cookies
If Athena, removed 2 boxes, in those two boxes, we have 20 cookies
Total number of cookies = 70 + 20 = 90 cookies;
So;
x = [tex]\frac{total number of cookies}{number of cookies per box}[/tex]
Therefore;
x = [tex]\frac{90}{10}[/tex]boxes
What is the value of 3-(-2)?
5 4 3 -2 -1 0 1 2 2 3
4 5
0-5
0 -1
O 5
Answer:
answer it is 5
Step-by-step explanation:
yea
I believe
[tex]\frac{3}{5} /8[/tex]
Answer:
[tex]\huge\boxed{\frac{\frac{3}{5}}{8}=\dfrac{3}{40}}[/tex]
Step-by-step explanation:
[tex]\dfrac{a}{b}=a:b\\\\a:b=a\cdot\dfrac{1}{b}\\\\========================\\\\\dfrac{\frac{3}{5}}{8}=\dfrac{3}{5}:8=\dfrac{3}{5}\cdot\dfrac{1}{8}=\dfrac{3\cdot1}{5\cdot8}=\dfrac{3}{40}[/tex]
The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 7 days. About what percentage of births would be expected to occur within 7 days of the mean pregnancy length
Answer:
68.268%.
Step-by-step explanation:
Let \mu be the mean pregnancy length.
The given standard deviation, [tex]\sigma=7[/tex] days
The z-score:
z=\frac{x-\mu}{\sigma}
where x is any pregnancy length.
The range of x within 7 days of the mean pregnancy length is
[tex]\mu-7<x<\mu+7.[/tex]
z-score for this range is:
[tex]\frac{\mu-7-\mu}{\sigma}<z<\frac{\mu+7-\mu}{\sigma}[/tex]
[tex]\Rightarrow -1<z<1[/tex]
So, the area on the normally distributed curve for the above range of z-score will give the expected percentage of birds to occur within 7 days of the mean pregnancy length.
Now, from the z-score table:
The area from [tex]z = -\infty[/tex] to z=1 is 0.84134
and the area from [tex]z = -\infty[/tex] to z=-1 is 0.15866.
So, the area for -1<z<1
=0.84134 - 0.15866
=0.68268
Hence, the percentage of births would be expected to occur within 7 days of the mean pregnancy length=68.268%.
3. The point below best represents which of the following? to 6 7 A. 738 B. V35 C. 145 D. 48
Answer:
686
Step-by-step explanation:
Candace ate 3 over 4 cup of cereal. The box of cereal states that one serving of cereal is equal to 2 over 3 cup. Which fraction represents the number of servings Candace ate?
Answer: Candace ate [tex]\dfrac9{12}[/tex] servings.
Step-by-step explanation:
Given: Candace ate [tex]\dfrac34[/tex] cup of cereal.
The box of cereal states that 1 serving of cereal = [tex]\dfrac23[/tex] cup.
i.e. 1 cup = [tex]\dfrac32[/tex] servings [Multiply [tex]\dfrac32[/tex] both sides]
⇒ [tex]\dfrac{3}{4}[/tex] cup = [tex]\dfrac34\times\dfrac32[/tex] servings
= [tex]\dfrac9{12}[/tex] servings [which is the number of servings she ate]
Hence, Candace ate [tex]\dfrac9{12}[/tex] servings.
please answer asap, i'll give brainliest
Which coordinate grid shows the correct locations of P(1.5, 1), point Q, which is a reflection of point P across the y-axis, and R(2.5, −1)?
Answer:
it's B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
its B
What is the range of the function f (x)= 4x -6 when the domain is { -4,-2,0,2,6}?
Answer:
{-22, -14, -6, 2, 18}
Step-by-step explanation:
f(-4)=4(-4)-6=-22
f(-2)=4(-2)-6=-14
f(0)=4(0)-6=-6
f(2)=4(2)-6=2
f(6)=4(6)-6=18
A new concert venue just opened in downtown Augusta and they are in the process of deciding how many tickets they can sell for each show. The venue has three levels, two general admission that only have standing room, and one level with 240 seats. The first level of standing room is a square with one side measuring 80'. The second level, also standing room, is a rectangle measuring 120' by 30' ft. The third level has 240 seats. The venue thinks each person will occupy 2.5 square feet. How many tickets should they sell?
Answer:
4,240 tickets
Step-by-step explanation:
The first level of standing room is a square with one side measuring 80'.
Area of the first level = length^2
= 80^2
= 6,400 square ft
The second level, also standing room, is a rectangle measuring 120' by 30' ft.
Area of the second level = length × width
= 120 × 30
= 3,600 square ft
Total area of the standing rooms = (6,400 + 3,600) square ft
= 10,000 square ft
Each person in the standing room will occupy 2.5 square ft
Number of Persons that will occupy the standing room = Total area of the standing rooms / 2.5 square ft
= 10,000 square ft / 2.5 square ft
= 4,000
Therefore the number of Tickets that should be sold
= Number of seats + Number for standing Room
= 240 + 4000
= 4,240 tickets
please send help i really need it lol thank u
Answer:
i think it is B
Step-by-step explanation:
(x²+7x+10) =
whats the answer help me plsss:(
Answer:
(х+2)(х+5)
Step-by-step explanation:
easy, just train quadratic equations ;)
In math class, you have the following scores: 77, 82, and 73. If the
last test has a maximum of 100 points, what score do you need for
an average of 80?
Answer: 88
Step-by-step explanation: 77+82+73= 232. So you need an 80 for average. So what you have to do is 80x4 and that equals to 320. last step is to subtract 320-232 and you get 88. 77+82+73+88=320.
Answer:
Did you actually get that score???
Actually, it is none- of my buisness, but no one will judge
and probably not for the 77 and 73 your grade just go's up 2 points if you get a 100
if your call phone bill was $67.82 and there is a 7.5% late free tax how much will your bill will be
Answer:
$72.91
Step-by-step explanation:
1.) 0.0075 x 67.82= 5.0865
2.) 67.82+5.0865= 72.9065 but I rounded it to 72.91 because with money it doesn't go beyond the hundredths place
a performer excepts to sell 5,000 tickets for an upcoming concert. They want to make a total of $311,000 in sales from these tickets.
how much well they make if they sell 7,000 tickets ?
Express 156 as the product of primes.
Answer:
Step-by-step explanation:
Divide the numbers by only the prime numbers.
After u have done completing as in the attached picture:
you have to write :
156 = 2 × 2 × 3 × 13
