Answer:
The value of the shares Samantha owns is $3,010
Step-by-step explanation:
Step 1
We add all the shares together and find out the cost of each share per dollar
Samantha owns 70 shares, Nyla owns 50 shares, and Jerry owns 40 shares.
Total amount of shares = (70 + 50 + 40) shares
= 160 shares
Step 2
The cost of share per dollar =
Values of shares/ Total number of shares
= $6,880/160 shares
= $43
1 share = $43
Step 3
The value of the shares Samantha owns is calculated as:
Number of shares Samantha owns × cost of share per dollar
Samantha owns 70 shares
Hence:
= 70 × $43
= $3010
The value of the shares Samantha owns is $3,010
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4). The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed? (__,__)
Answer:
The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)
Step-by-step explanation:
To find the centroid of a triangle, use this rule centroid = ([tex]\frac{x1+x2+x3}{3},\frac{y1+y2+y3}{3}[/tex]), where (x1, y1), (x2, y2), (x3, y3) are the vertices of the triangle
∵ The vertices of the triangle are (1, 1), (1, 4), (-3, 4)
∴ x1 = 1 and y1 = 1
∴ x2 = 1 and y2 = 4
∴ x3 = -3 and y3 = 4
→ Substitute them in the rule above
∵ Centroid = ([tex]\frac{1+1+-3}{3},\frac{1+4+4}{3}[/tex])
∴ Centroid = ([tex]\frac{-1}{3},\frac{9}{3}[/tex])
∴ Centroid = ([tex]-\frac{1}{3}[/tex] , 3)
∴ The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)
The function f(x) is defined below. What is the end behavior of f(x)?
f(x)=123x^3+9x^4-768x-3x^5-189x^2+1260
Answer:
Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
The function f(x) is defined as;
f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260
WE need the degree and the leading coefficient to determine the behavior.
Since our leading coeffeicent has a leading even degree of 5, and a positive number,
The function will Rises to the left and falls to the right.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
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Write y= -1(x-4.5)^2 + 15.25 in standered form
Given:
The equation is
[tex]y=-1(x-4.5)^2+15.25[/tex]
To find:
The standard form of the given equation.
Solution:
We have,
[tex]y=-1(x-4.5)^2+15.25[/tex]
It is a quadratic equation.
The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.
[tex]y=-(x-4.5)^2+15.25[/tex]
[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=-[x^2-9x+20.25]+15.25[/tex]
[tex]y=-x^2+9x-20.25+15.25[/tex]
[tex]y=-x^2+9x-5[/tex]
Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
The table below shows the number of pencils and pens three friends have in their backpacks.
Who has a greater ratio of pencils to pens?
A. Lydia
B . Angel
C . Elizabeth
Answer:
Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Step-by-step explanation:
Considering the table
Lydia's Number of Pencils = 10
Lydia's Number of Pens = 7
Lydia's Pencils to Pens ratio = 10/7
Angel's Number of Pencils = 9
Angel's Number of Pens = 6
Angels's Pencils to Pens ratio = 9/6 = 3 / 2
Elizabeth's Number of Pencils = 12
Elizabeth's Number of Pens = 9
Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3
So, We get the inputs ratios such as:
Lydia's ratio: Angels's ratio: Elizabeth's ratio
10/7 : 3 / 2 : 4 / 3
As the least common denominator (LCD) is: 42
Rewriting as equivalent fractions with the LCD:
10/7 : 3 / 2 : 4 / 3
60 / 42 : 63/42 : 56/42
Sorting from least to greatest:
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
Elizabeth's ratio : Lydia's ratio : Angels's ratio:
4/3 : 10 /7 : 3 / 2
56/42 : 60 / 42 : 63/42
Therefore, Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Answer this question and ill give out brainliest
Gimme a reason
Answer:
A rift valley is forming.
Step-by-step explanation:
Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.
3x-5y=22: y=-5x+32 solve for y
What is (-3x2 - 6x - 8) - (4x2 + 5) simplified?
Step-by-step explanation:
i got 9x-9
hope this helps broo
The price of the same type of milk is shown. Which store has the the lowest unit price per ounce
Answer:
I would answer but there is no picture
Step-by-step explanation:
Answer:
It's not shown actually...
Step-by-step explanation:
Ummm...
been stuck on this for a bit
a new pair of shoes for 60% off. what expression represents the total cost
Answer:
What was the origainal price?
Step-by-step explanation:
6. Which of the following is the volume of a hemisphere with a radius of 8
inches?
A. 1,607,68 inches cubed
O B. 1,071.79 inches cubed
C. 2,143.57 inches cubed
D. 535,89 inches cubed
Answer:
Step-by-step explanation:d
Answer:
B
Step-by-step explanation: A hemisphere is half of a sphere. Knowing this all you have to do is find the volume as if the figure was a sphere, then divide it by 2.
volume of sphere equation: V=4 /3 πr^3
Two siblings set up a lemonade stand. Each half hour, the siblings record the number of cars, X, that pass by and the total amount of lemonade sales, in
dollars, y. The scatter plot shows the results,
A triangle has sides with lengths of 7 yards, 12 yards, and 13 yards. Is it a right triangle?
Answer:
yh
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
We use the Pythagorean theorem.
a^2 + b^2 = c^2
7^2 + 12^2 = 49 + 144 = 193
13^2 = 169
Since 193 is not equal to 169, the triangle is not a right triangle.
please answer thins thanks
A)
150 / 32 = 4.6785
5 people
B)
150 / 30 = 5
Yes
Answer:
A) Five people
B) Yes
Step-by-step explanation:
Just multiply 32 by x where x untill you hit 150 or more.
4x2+24=0 simplify solutions
Answer:
4x^2 + 24 = 0
4x^2 = - 24
unsqrt
4x = ±2√6
x = (±2√6)/4
PLEASE HELP ME ASAP IMDOING FINALS
help me with this please
Answer:
30-40
Step-by-step explanation:
because on the graph thats where they cross.
What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?
Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
2x - y = 3 → (1)
x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by subtracting x from both sides
y = 3 - x → (3)
Substitute y = 3 - x into (1)
2x - (3 - x) = 3
2x - 3 + x = 3
3x - 3 = 3 ( add 3 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
substitute x = 2 into (3) for corresponding value of y
y = 3 - 2 = 1
Solution is (2, 1 )
Currently James has $600 in his bank account, while Lisa has $500 in hers.
Every Friday afternoon James withdraws $15. At the same time Lisa withdraws $12 knowing that she can't spend as much as James.
Will their account balances ever be equal? If they are ever equal, how many weeks will it take?
Answer:
Their account balances will never be equal.
Step-by-step explanation:
I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.
Hey I need help
solve: (2 to the power of 4) - 6 divided by 2.
Answer:
13
Step-by-step explanation:
2 to the power of 4 - 6 divided 2
16 - 6 divided by 2
16 - 3
13
Answer: 13
Step-by-step explanation:
2 to the power of 4 =
16 - 6/2 = 16 - 3 = 13
Write the coordinates of the vertices after a reflection over the line y = 1.
*tuff scrolls
*looks at other hard things
VERTICIES AND COORDINATES
A(2,2), B(2, 6), C(5, 2)
I'VE BEEN WORKING IT FOR 6 HOURS STRAIGHT HELP ME.
I am kind of confused.
50 points.
Record the simplified expression
Answer:
-4x+5
Step-by-step explanation:
-(4x-2) change sign of each in parenthesis so they are now -4+2
now you have -4x+2+3 add like terms
now you have -4x+5
[tex]\sf \longmapsto−4x+2+3[/tex]
Combine like terms[tex]\sf \longmapsto−4x+2+3[/tex]
[tex]\sf \longmapsto(−4x)+(2+3)[/tex]
[tex]\sf \longmapsto−4x+5[/tex]
Two boats start their journey from the same point A and travel along directions AC and AD, as shown below
What is the đistance, CD, between the boats? (5 points)
461.9 ft
530.9 ft
646.4 ft
325.5 ft
Answer:
a
Step-by-step explanation:
Find BD
Remember soh-cah-toa?
opposite/adjacent
tan30=400/x
xtan30=400
x = 400/tan30
Find BC
Still toa. . . still toa
90 + 60 = 150
180-150 = 30
BAC = 30
tan30=x/400
400tan30=x
BD-BC=CD
If you followed my steps, your answer should come to you.
If you didn't and are a lazy pr*ck who relies on others to do their semester exam problems for them, the answer is A. Or 461.
16 points, Brainllest, a heart, and stars! First place gets brainllest, five stars and a heart! Second place gets 4 stars and a heart! (You only get it if you get it right )!
Write the percent as a fraction in simplest form and as a decimal. 16.24%
The fraction is
The decimal is
Answer:
Umm ty!
Step-by-step explanation:
Answer:
Fraction is: 203/1250
Decimal is: 0.1624
Step-by-step explanation:
Thank you for the points! Please mark this as brainliest! :)
In the figure below, ray MP and ray MQ both intersect line LN.
Answer:
x = 20°
Step-by-step explanation:
Lines and Angles
Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.
Thus, we have:
45 + 6x - 5 + x = 180
Simplifying:
40 + 7x = 180
Subtracting 40:
7x = 180 - 40
7x = 140
Dividing by 7:
x = 140/7 = 20
x = 20°
WILL GIVE BRAINLIEST!
If Triangle ABC ≈ Triangle DBE, find the value of x.
Answer:
x = 49
Step-by-step explanation:
The sum of angles in a triangle add up to 180°.
∠CBA = ∠EBD (Vertically opposite angles are equal)
= 52°
Since in the triangle DBE, you already know two of the angles, you can find ∠BDE which is equal to ∠CAB (x + 9)°.
∠BDE = 180° - 70° - 52°
= 58°
∠BDE = ∠CAB
= ∠(x + 9)°
= 58°
x + 9 = 58
x = 58 - 9
x = 49
Which graph shows a proportional relationship that passes through the point (2, 1)?
A.
B.
C.
D.
The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.
Equation of a lineA line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.
Using a factor of 2;
New coordinate = 2(2, 1)
New coordinate = (4, 2)
From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.
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