Answer:
35 [$]
Step-by-step explanation:
1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;
2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;
3) using the two above it is possible to make up the system of two equations:
[tex]\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.[/tex]
4) finally, the have together 10+25=35 doll-s.
Jacky and Peter had a total of 70 dolls altogether.
What is an equation?A equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of Jack doll and y represent Peter doll, hence:
x - 15 = y + 15 (1)
Also:
(5/7)(x + y) = x (2)
From both equations:
x = 50, y = 20
x + y = 50 + 20 = 70
Jacky and Peter had a total of 70 dolls altogether.
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Find the volume of a pyramid with a square base, where the area of the base is 7.5\text{ ft}^27.5 ft
2
and the height of the pyramid is 4.6\text{ ft}4.6 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
17.9 m^3
Step-by-step explanation:
(3x + 5)(4x^2 + 8x + 40)
Step-by-step explanation:
= ( 3x + 5 ) ( 4x² + 8x + 40 )
= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )
= 12x³ + 24x²+ 120x + 20x² + 40x + 200
= 12x³ + 24x² + 20x² + 120x + 40x + 200
= 12x³ + 44x² + 160x + 200
Answer:
12x^3 +44x^2 +160x +200
Step-by-step explanation:
Distribute:
(3x+5)(4x^2 +8x+40)
3x(4x^2 +8x+40) +5(4x^2 +8x+40)
Then it would be:
(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)
therefore the soloution is:
12x^3 +44x^2 +160x +200
x to the second power - 5x + 6
Answer:
−5
Step-by-step explanation:
−5x+6
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax
n
is nax
n−1
.
−5x
1−1
Subtract 1 from 1.
−5x
0
For any term t except 0, t
0
=1.
−5
Evaluate
6−5x
A motor center carries out servicing of cars, which includes the replacement of parts.
Three service technicians can each do 5 services per day . Normally they work Monday to Friday, but
sometimes one technician will also work on Saturday.
Each car requires 1 air filter, 1 oil filter, 1 quantity of engine oil and 4 spark plugs.
The parts are purchased in bulk, and come in boxes containing the quantities shown below.
Air filter............. 8 per box
Oil filter ............ 20 per box
Engine oil ......... 4 per box
Spark plugs ...... 80 per box
How many boxes of each item is it necessary to buy each week, if the motor center is to carry out the maximum possible number of services?
Answer:
1 box of spark plugs, 3 air filter boxes, 1 oil filter box, and 5 boxes of engine oil
Step-by-step explanation:
the max amount of services that can be done is about 20 per week, including the one on Saturday. so u just multiply the amount needed by the 20 possible services and check to see the amount that comes in each box, then get as many as needed
PLEASE HELP 88 POINTS Alejandro volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday, 463 people went to The Youth Wing, 474 people went to Social Issues, and 335 went to Fiction and Literature. On Sunday, the library had 1100 total visitors. Based on what Alejandro had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
Answer:
401 people
Step-by-step explanation:
First, find the percentage of students that went to the Youth Wing on Saturday, this is 463/463+474+335
464/1272
=36.4779874%
Multiply it now by the Sunday visitors, 0.364779874 x 1100
= 401.2578616
=401 people
Answer: 400
Step-by-step explanation:
What is the area of this triangle:
A company is replacing cables with fiber optic lines in rectangular casing bcde. if segment de = 3 cm and segment be = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? round your answer to the nearest hundredth. quadrilateral bcde inscribed within circle a 3.91 cm 4.24 cm 4.61 cm 4.95 cm
Answer:
4.61
Step-by-step explanation:
I saw another question that had 3 and 3 and that question's answer was 4.24, so i multiplied the 0.5 and got 4.61
can you solve it I need this respond pless
Find the surface area of the cylinder
I NEED HELP FAST OR ILL FAIL
Draw a graph of kinetic energy against mass using the table. To plot a point, use the circle tool. To draw a line between points, use the line tool. To move a point or line, use the select tool. Once you’ve finished drawing the line, describe its shape in a text box on the graph.
here is the table Mass of Student
(kilograms) Kinetic Energy
(joules) Constant Speed
(meters/second)
27 121.5 3
36 162.0 3
45 202.5 3
54 243.0 3
64 288.0 3
73 328.5 3
Answer:
Step-by-step explanation: I failed to get this right for yall XD
The equation of line is y = ( 1/2 ) mv² , where m is the mass of the student and y is the kinetic energy
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let y represent the kinetic energy and mass is m
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
The equation for kinetic energy is K = ( 1/2 )mv²
The constant speed v = 3 m/s
So , the linear equation is
y = { 121.5 , 162 , 202.5 , 243 , 288 , 328.5 }
x = { 27 , 36 , 45 , 54 , 64 , 73 }
The slope m = y / x
On simplifying , we get
m = 121.5 / 27 = 4.5
And , the equation of line is
y - 121.5 = 4.5 ( x - 27 )
Adding 121.5 on both sides , we get
y = 4.5x
Now , plotting the points on the graph , we get a straight line
Hence , the equation of line is solved and the graph is plotted
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5x+1/3 = 7 help me, thanks!
Answer:
5x+1/3=7
5x+1=7×3
5x+1=21
5x=21-1
5x=20
x=20/5
x=4
Select the graph that represents h = -16t^2+ 80.
Answer:
None
Step-by-step explanation:
the slope has t to second power. So, the graph needs to be a parabola. Means second one is wrong.The slope is negative so the parabola is downward facing, so third one is wrong. When you plug in 0 for t, y becomes 80, so (0,80) point needs to be along the line. So first and second are wrong.If first one was shifted letward so the vortex was at (0.80), that would be the correct option, but not how it is not.
We are on my trigonometry unit and I don’t understand this question. I need work shown if at all possible!
Answer:
I think this is the right answer.
Step-by-step explanation:
Ship A is 2.653 miles from the island and ship B is 2.981 miles away from the island.
Can someone help me
Please
9z
hope it reall helps...!!!
please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure,
100'
Let's consider what the problem wants us to find:
fractional part covered by the labeled angleangle in radiansLet's find the fractional part:
⇒ the fractional part is equal:
[tex]\frac{degree-covered-by-angle}{total-angle} =\frac{100}{180} =\frac{2*2*5*5}{2*2*3*3*5} =\frac{5}{3*3} =\frac{5}{9}[/tex]
Answer: The angle 100 degrees covers 5/9 of a semicircle.
Let's find the angle measure in radians:
⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees
⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]
so [tex]100*\frac{\pi }{180} =\frac{100\pi }{180} =\frac{10}{18} \pi =\frac{5}{9} \pi[/tex]
Answer: The angle 100 degrees in radians is [tex]\frac{5}{9} \pi[/tex] which in terms of [tex]\pi[/tex] is
5/9
Hope that helps!
Consider theline plot below. What is the median of the data. What is the mean
PLEASE HELP, I'LL GIVE BRAINIEST!!!
What is b?
Answer:
B is 6
Step-by-step explanation:
When y is zero the x on the other side will represent B, because that would be the Y-intercept
ABCD is not drawn to scale. Based on the angle measures given, ABCD
a parallelogram.
A. must be
B. must not be
C. may or may
not be
Answer:
C.
Explanation:
If we had the final value of C, we would be able to determine whether or not the ABCD is parallelogram. Hope this helps you out!!
Answer:
it must not be a parallelogram because it's angle is not supplementary
A scatter plot is shown:
A scatter plot is shown. Data points are located at 0 and 1, 1 and 1.5, 2 and 2, 3 and 2.5, 4 and 3, 5 and 3.5, 6 and 4, 7 and 4.5, 8 and 5.
What type of association does the graph show between x and y? (4 points)
A: Linear positive association
B: Nonlinear positive association
c: Linear negative association
D: Nonlinear negative association
Answer:
A is the answer hope this helps
If f(x)=6x+1 and g(x)=2x^2-5x, what is f+g
Answer:
2x²+x+1
Step-by-step explanation:
you are adding the functions together so it is collecting like terms
6x+1
+ 2x²-5x
2x²+x+1
Isosceles triangle ABC contains angle bisectors segment BF, segment AD, and segment CE that intersect at X.
If segment BA is congruent to segment BC and m∠BCA = 48°, what is m∠CXA?
132°
96°
66°
24°
Answer:
The measure of angle CXA is 134°
Step-by-step explanation:
* Lets explain how to solve the problem
- Triangle ABC is an isosceles triangle where AB = BC
∵ AB = BC
- The base angles in the isosceles triangle are congruent
∴ m∠BAC = m∠BCA
∵ m∠ BCA = 46° ⇒ given
∴ m∠ BAC = 46°
- The sum of the measures of the interior angles in any triangle is 180°
∵ m∠BAC + m∠BCA + m∠ABC = 180°
- Substitute the values of angle BAC and BCA in the equation above
∴ 46 + 46 + m∠ABC = 180
∴ 92 + m∠ABC = 180
- Subtract 92 from both sides
∴ m∠ABC = 88°
- BF , AD , CE are bisectors segments of angles B , A , C and they are
intersected at point X
∵ CE bisects ∠BCA
∵ X ∈ CE
∴ m∠XCA = 1/2 m∠BCA
∴ m∠XCA = 1/2 (46) = 23°
∵ AD bisects ∠BAC
∵ X ∈ AD
∴ m∠XAC = 1/2 m∠BAC
∴ m∠XAC = 1/2 (46) = 23°
- In Δ AXC
∵ m∠XAC = 23° ⇒ proved
∵ m∠XCA = 23° ⇒ proved
∵ m∠CXA + m∠XAC + m∠XCA = 180° ⇒ interior angles of Δ
Substitute the values of angles XAC and XCA
∴ m∠AXC + 23 + 23 = 180
∴ m∠CXA + 46 = 180
- Subtract 46 from both sides
∴ m∠CXA = 134°
* The measure of angle CXA is 134°
Answer: I also have this question and because everybody is saying 134 I believe it is 132. So I hope this helps.
P.S If possible please mark it as the brainliest. thanks
Joe does 25 sit ups each day. How many set ups does he do in three weeks? Remember, one week has seven days.
Answer:
525 sit-ups
Step-by-step explanatiSince there are 7 days in a week, and there are 3 weeks, you can multiply 7 * 3 = 21 to find out how many days Joe is doing situps. Next, you need to multiply the number of situps per day by the number of days: 25 * 21 = 525. Joe will do 525 situps in 3 weeks.
Hope this helps! :)
find the values of a and b such that x squared-4x+9= (x+a) squared+b
Answer:
a = - 2, b = 5
Step-by-step explanation:
expand the right side using FOIL and compare the coefficients of like terms on both sides.
(x + a)² + b
= x² + 2ax + a² + b
compare terms with x² - 4x + 9
coefficients of x- term
- 2a = 4 ( divide both sides by - 2 )
a = - 2
compare constant terms
a² + b = 9
(- 2)² + b = 9
4 + b = 9 ( subtract 4 from both sides )
b = 5
Six books need to be placed on a shelf.
You randomly arrange the books on the
shelf from left to right.
Explanation:
For
6
books, that means we have
6
spots to put them in.
Our first book has
6
spots it can be in.
Our second book will now have
5
, since one is taken up by the first spot.
The next will have
4
, then
3
,
2
, and
1
. Thus, we can model the number of arrangements as
6
⋅
5
⋅
4
⋅
3
⋅
2
⋅
1
=
6
!
=
720
Therefore, we have
720
ways of arranging
6
books on the shelf.
Hope this helps!
A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
What distance does it rebound the 5th time?
What is the total distance the ball has travelled after this time?
Help!!! Find the value of
x
xx in the isosceles triangle shown below.
please answer with all the steps and you’ll get brainliest
Answer:
x = -1
Step-by-step explanation:
You have:
[tex]\frac{3}{2x-1} =\frac{1}{x}[/tex]
Multiply both sides by 'x' to get:
[tex]\frac{3x}{2x-1} =1[/tex]
Multiply both sides by (2x-1) to get:
[tex]3x=2x-1[/tex]
Subtract 2x on both sides to get:
[tex]x=-1[/tex]
Saritza will find the area of the rectangle by tiling it with unit squares. The sides: 5/6 and 2/3. The question: Which is the appropriate side length for the unit square to tile Saritza’s rectangle to find the area? The answers: 1/9 yard
1/6 yard
1/3 yard
1/2 yard.
A rectangle is a 2-dimensional shape with equal opposite sides. The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard
How to find the area of a rectangleA rectangle is a 2-dimensional shape with equal opposite sides.
Area of a rectangle = Length * width
Given the following parameters:
length = 5/6 yard
width = 2/3
Find the area
Area = 5/6 * 2/3
Area = 5/9 square units
The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard
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Sue’s bank account has a balance of $899.83 before she starts spending money. she makes the following transactions: transaction cost ($) rent 353.76 video game 32.79 bike maintenance 60.26 jacket 55.62 rug 80.40 night out 35.77 sue is considering splitting the cost of a new tv with her roommate. her share would be $305.22. can sue afford this? a. yes, she can make the purchase and have money left over. b. yes, but doing so will clear out her account. c. no, making that purchase will overdraw her account. d. no, she is overdrawn already. please select the best answer from the choices provided a b c d
Answer:
Sue cannot afford to split the cost of a new TV as she only has $281.23 in her bank account after transactions. She has to contribute $302.22 and she doesn't have enough money.
Explanation:
Item Debit Credit Balance
Bank balance before transactions 899.83
Rent 353.76 546.07
Video game 32.79 513.28
Bike maintenance 60.26 453.02
Jacket 55.62 397.40
Rug 80.40 317 .00
Night out 35.77 281.23
Sues bank balance after all the transactions is $281.23
Step-by-step explanation:
Please help me with this one!
It would be C because no other would have worked.