Answer: 2800 dollars in intrest
Step-by-step explanation:
At the farmer's market,
eight peaches (x) plus
three cantaloupe (y) cost
$63. Two peaches plus
three cantaloupe cost $27.
How much does each fruit
costo
Answer:
Cantaloupe = $6, peach=$5
Step-by-step explanation:
[tex]8x+3y=63\\2x+3y=27\\[/tex]
Subtract the first one from the second one
[tex]8x-2x+3y-3y=63-27\\6x=36\\x=6\\[/tex]
Plug in:
[tex]2(6)+3y=27\\12+3y=27\\3y=15\\y=5[/tex]
Hope this helps plz hit the crown :D
Write the equation of the line that passes through the given points
(0,2)) and (-9, -3)
Step-by-step explanation:
Y= m x+ C
m (slope ) = 2 - (_3) / 0 _( - 9 )
= 5 / 9
( O, 2 ) Satisfying equation
2= 5/9 ( 0) + C
C= 2
So eq. is
y= 5/ 9 X + 2
A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume
Answer:
[tex]890.75m^3[/tex]
Step-by-step explanation:
Step one:
given data
heigth/depth = 3.5m
radius= 9m
Step two:
The shape is that of a cylinder
Hence the volume of the pool is
[tex]V= \pi r^2h[/tex]
substitute
[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]
What is the equation of the line that passes through the point (2,0) and has a slope of 5/2
Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake? A) Corresponding sides of the two triangles have the ratio of 4:1, which proves SAS similarity.The length of the lake is 212 m. B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132 m.
C) Corresponding sides of the two triangles have the ratio of 3:1, which proves SSS similarity. The length of the lake is 159 m. D)
Corresponding sides of the two triangles have the ratio of 4:1, which proves AAS similarity. The length of the lake is 240 m.
Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
[tex]\frac{L}{33} =4[/tex]
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
What’s the answer to the problem Help me
Answer:
$2000 can get 250000 sheets of papers
Step-by-step explanation:
[tex]500/4=125[/tex]
[tex]125*2000=250000[/tex]
1/3 + a = 5/4
A=? ..........................................................
Write an equation of the line below
Answer:
The equation of the line is:
[tex]y = 4x + 3[/tex]
Step-by-step explanation:
We know that the slope-intercept of line equation is
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept
Given the two points on a line
(0, 3)(-2, -5)Finding the slope between (0, 3) and (-2, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)[/tex]
[tex]m=\frac{-5-3}{-2-0}[/tex]
[tex]m=4[/tex]
We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.
From the graph, it is clear:
at x = 0, y = 3
Thus, y-intercept = b = 3
Substituting m = 4 and b = 3 in the slope-intercept form of line equation
[tex]y = mx+b[/tex]
[tex]y = 4x + 3[/tex]
Therefore, the equation of the line is:
[tex]y = 4x + 3[/tex]
There are 32 females cast in the school play. The ratio of male roles is 3:8. How many males are cast in the school play
WHO WANTS BRAINLIST??
Answer:
Me please
Step-by-step explanation:
I like ice cream :D
Answer:
I do!!! Please may I get it? If someone else asked and you chose them that's fine!
Step-by-step explanation:
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.
- •Trix•
( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
what is the equation?
Answer:
Step-by-step explanation:
y = 10/4 x
y = 2.5 x
Pls answer asp!!!! Pls
Answer:
C I think
Step-by-step explanation:
hope it's correct
Answer:
im 92.2% sure its A because 70 is what he had while 27 is after taking the 18 but i might be wrong so your better off with someone elses answer
Step-by-step explanation:
The table below shows the probability distribution of students in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?
Age
13, 14, 15, 16, 18
Probability
0.01, 0.28, 0.30, 0.25,0.15,0.01
A. 15.28
B. 15.64
C. 15.34
D. 15.36
Answer: 15.28
Step-by-step explanation:
The expected value for the age of a randomly chosen student is,
⇒ 15.28
Given that:
Total number of students,
⇒ n = 1500,
And, Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Now,
We can Calculate the expected value as shown below,
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38
Therefore, The expected value for the age of a randomly chosen student is 15.38.
To know more about probability:
brainly.com/question/743546
#SPJ7
Please help! it's algebra 2! correct answers only!
B.
To create a square trinomial on the left side of the equation, find a value that is equal to the square of half of.
Please help geometry
50 points.........
A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?
x(t) = sin(60°)t + 44 and y(t) = –16t2 + cos(60°)t + 44
x(t) = cos(60°)t + 44 and y(t) = –16t2 + sin(60°)t + 44
x(t) = 44sin(60°)t and y(t) = –16t2 + 44cos(60°)t
x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t
Answer:
B
Step-by-step explanation:
For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?
After doing the math in my notebook, I got the answer D.
Please let me know if you have any other questions down below.
please help UwU
if correct you get Brainiest
Answer: C
Step-by-step explanation:
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
What is the equation of the perpendicular bisector of Ny?
Given:
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
To find:
The equation of the perpendicular bisector of NY.
Solution:
Midpoint point of NY is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)[/tex]
[tex]Midpoint=\left(-4,1\right)[/tex]
Slope of lines NY is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-3-5}{3-(-11)}[/tex]
[tex]m=\dfrac{-8}{14}[/tex]
[tex]m=\dfrac{-4}{7}[/tex]
Product of slopes of two perpendicular lines is -1. So,
[tex]m_1\times \dfrac{-4}{7}=-1[/tex]
[tex]m_1=\dfrac{7}{4}[/tex]
The perpendicular bisector of NY passes through (-4,1) with slope [tex]\dfrac{7}{4}[/tex]. So, the equation of perpendicular bisector of NY is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-1=\dfrac{7}{4}(x-(-4))[/tex]
[tex]y-1=\dfrac{7}{4}(x+4)[/tex]
[tex]y-1=\dfrac{7}{4}x+7[/tex]
Add 1 on both sides.
[tex]y=\dfrac{7}{4}x+8[/tex]
Therefore, the equation of perpendicular bisector of NY is [tex]y=\dfrac{7}{4}x+8[/tex].
which of these is not a linear graph.
Answer:
D
Step-by-step explanation:
It isn't linear
Answer:
D)
Step-by-step explanation:
Linear graphs are straight they can be positive or negative but they do not have bending points in them.
I added a picture to help you
A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.
Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)
Part B: At time t, at what rate is the height of the dough decreasing with respect to time?
Answer:
a) dA/dt = 125,42 mm/min
b) dh/dt = - 1,78 mm/min
Step-by-step explanation:
The volume of the cylinder is:
V(c) = π*r²*h ( r and h radius of the base and heigh respectively )
Then the surface area is: Area of the base : π*r²
Plus lateral area : h*2*π*r
A(c) = π*r² + 2*π*r*h
With the help of differentials we obtain:
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt (1)
In this equation and at time t we know:
r = 18 mm dr/dt = 2 mm/min h = 8 mm dh/dt = ??
dA/dt = increasing rate of the surface area ( with respect to time)
To find dh/dt we know:
V(c) is constant, then
V(c) = π*r²*h then h = V(c) / π*r²
dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴
By subtitution of V(c)
dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴
dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴
dh/dt = - [2*h* dr/dt ] / r
dh/dt = - 2*8*2 / 18 mm/min
dh/dt = - 1,78 mm/min
By subtitution in equation (1)
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt
dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )
dA/dt = 226,20 + 100,53 - 201,31
dA/dt = 125,42 mm/min
Following are solutions to the given points:
Formula:
Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]
[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]
Part A:
Calculating the circular area of the surface:
[tex]\to A=\pi r^2\\\\[/tex]
So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]
Therefore
[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]
Part B:
[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]
Learn more:
brainly.com/question/19667963
Which Shape is NOT quadrilateral
Answer:
the pentagon (3rd one)
Step-by-step explanation:
definition of a quadrilateral literally means a shape with 4 sides
3. What is the equation of the line that
passes through the point (1,5); and
is parallel to the equation. y= -2x - 4
Bouncing Baby Company sells their cribs for the following amounts to stores:
Number of Cribs Price
10 $1320
50 $6600
Which of the following statements about the price of the cribs are true if the price remains proportional to the number of cribs? Select TWO that apply.
A
6 cribs cost $660
B
22 cribs cost $2640
C
40 cribs cost $5280
D
55 cribs cost $7920
E
80 cribs cost $10,560
F
250 cribs cost $11
Answer:
C and E
Step-by-step explanation:
Ik u prolly dont care about the explanation but ill just say it
the ratio is 1:132 or 1 crib is $132. So 40 x 132 = 5280 and 80 x 132 = 10560
For the test im doing the answer is C and D yw ;D
PLEASE HELP ME !!!
:(
Answer:
Step-by-step explanation:
G is the incenter of ΔABC,
Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.
10). m∠ABG = m∠CBG = 25°
11). m∠BCG = m∠ACG = 18°
Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°
12). m∠ABC + m∠BAC + m∠ACB = 180°
2(25)° + m∠BAC + 36° = 180°
m∠BAC = 180° - 86° = 94°
13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°
14). Since, incenter is equidistant from all sides of the triangle,
Therefore, DG = GF = FE = 4 units
15). In right triangle BEG,
tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]
BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]
= [tex]\frac{4}{\text{tan}25}[/tex]
BE = 8.6
16). In right triangle BEG,
cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]
BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4
17). In right triangle GEC,
sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]
GC = [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9
Ella's father paid her $9.15 for helping him rake leaves, clean flower beds, and haul trash. If she received an equal amount for each job, how much did he pay her for raking the leaves?
Answer:
$3.05?
Step-by-step explanation:
The table below shows the distribution of students by age in a high school
with 1500 students. What is the probability that a randomly chosen student is
14 years old?
Age
13, 14, 15, 16, 17, 18
Number of Students
15,375,450,420,225,15
A. 0.15
B. 0.30
C. 0.28
D. 0.25
Answer: 28
Step-by-step explanation:
Answer:
it is .28
Step-by-step explanation:
ayepexs
alice started at the origin and moved to the left and then down to plot a point. which quadrant and which possible point did alice plot at?
Answer:
OK
Step-by-step explanation:
LOL SO WHAT I . DID
IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3
How to cross multiply for sin
Answer:
What do you mean sin?
Step-by-step explanation:
The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence
Answer:
Step-by-step explanation:
Answer: 1. heading and subheading
2. subheading
3. point-by-point
Step-by-step explanation:
xander takes a quiz worth 50 points. each question is worth 10 points. sketch a graph to show his score if he missed 1,2,3,4 or 5 questions
