Answer:
198 KM
Step-by-step explanation:
82.5KM/5.5L= 15KM per liter
13.2 x 15 = 198 KM
The probability that Sara wins a raffle is given by the expression n/n+3
Write down an expression, in the form of a combined single fraction, for the probability that Sara does not win.
Answer:
3/(n + 3)
Step-by-step explanation:
The given probability that Sara wins a raffle draw, P = n/(n + 3)
Given that the sum of all probabilities is 1, we get
The probability that Sara does not win, Q = 1 - P
Therefore;
Q = 1 - n/(n + 3) = (n + 3) - n/((n + 3) = 3/(n + 3)
The probability that Sara does not win, Q = 3/(n + 3)
Which of the following points is a solution of the inequality y < |x - 2|?
(-2, 0)
(2, 1)
(2, 0)
Answer:
(-2,0)
Step-by-step explanation:
y < |x - 2|
Substitute the points in and check
(-2,0)
0 < |-2 - 2|
0 < |-4|
0 < 4 True
(2,1)
1 < |2 - 2|
1 < |0|
1 < 0 False
(2,0)
0 < |2 - 2|
0 < |0|
0 < 0 False
multiply 3/7 by the reciprocal of -3/14
Multiplying 3/7 by the reciprocal of -3/14,
[tex] \frac{3}{7} \times \frac{14}{ - 3} \\ = \frac{1}{1} \times \frac{2}{ - 1} \\ = \frac{2}{ - 1} \\ = - 2[/tex]
Hope it helps!!
Find questions attached.
Show workings.
Answer:
Solution given:
7.<OYM=15°base angle of isosceles triangle
<OYL=50°base angle of isosceles triangle.
<OYL=<OYM+<MYL
50°=15°+<MYL
<MYL=50°-15°
<MYL=35°
again;
<MOL=35*2=70°central angle is double of a inscribed angle.
18.
Solution given:
<PQR+<PSR=180°sum of opposite angle of a cyclic quadrilateral is supplementary
<PQS+42°+78°=180°
<PQS=180°-120°=60°
<PQS=60°
<SPR=42°inscribed angle on a same arc is equal
:.<QPS=18°+42°=60°
<QSR=18°inscribed angle on a same arc is equal
again.
<PSR=78°
<QSR+<PSQ=78°
18°+<PSQ=78°
<PSQ=78°-18°
<PSQ=60°
In ∆ PQS
<PSQ=60°
<QPS=60°
<PQS=60°
In triangle ∆PQS all the angles are equal.
so it is a equilateral triangle.Ibrahim likes to run a loop around the park near his house that is ⅞ mile long. There is a water fountain ½ way around the loop. Ibrahim stopped to get a drink of water at the water fountain. How far did Ibrahim run?
Answer:
7/16 mile
Step-by-step explanation:
Distance of the loop = 7/8 mile
Distance of Water fountain = 1/2 of the Distance of the loop
= 1/2 of 7/8
Ibrahim stopped to get a drink of water at the water fountain. How far did Ibrahim run?
= 1/2 of 7/8
= 1/2 * 7/8
= (1 * 7) / (2 * 8)
= 7/16
Ibrahim ran 7/16 mile to drink water at the water fountain around the loop
There is a bag with 50 popsicles inside. 5 are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is red or not orange?
P(red or not orange)
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A. The graph of h is the graph of g horizontally shifted right 3 units.
B. The graph of h is the graph of g horizontally shifted left 3 units.
C. The graph of h is the graph of g vertically shifted up 3 units.
D. The graph of h is the graph of g vertically shifted down 3 units.
Answer:
A
Step-by-step explanation:
The graph of h(x) = (x-3)^2. The (x-3) indicates that the graph is shifted horizontally right 3 units because the change takes place inside the parantheses. Because the units are being subtracted, the graph will shift to the right. I highly recommend using Desmos to find your answer next time.
A boy on top of a building observe that the angle of depression of a goat in horizontal ground is 47.if the goat is 23m away from the foot of the building,how high is the building,correct to the nearest meter? (ignore the height of the boy)
Answer:
Step-by-step explanation:
tan 47° = opposite side /adjacent side
=>1.072 = AB/BC
=>1.072 × BC = AB(height of the building)
=>1.072 × 23 = h ( As assumed height of building is h )
h = 24.656
= 25 metres ( nearest metre )
adhiambos entertainment hall has a rectangular floor measuring 30m by 24m ,she wants to cover it with square tiles. each tile has a surface area of 900cm. the tiles are packed in cartons each containing ten tiles. How many cartons of tiles does she require?
1 meter = 100 cm
Convert the dimensions of the room to cm:
30m x 100 = 3000 cm
24 m x 100 = 2400 cm
Area of floor = 3000 x 2400 = 7,200,000 square cm
Find number of tiles by dividing area of room by area of a tile:
7,200,00 / 9000 = 800
They will need 800 tiles
800 tiles / 10 tiles per carton = 80
They will need 80 cartons
Determine a simplified expression for the shaded area
Answer:
4x^2-3x
Step-by-step explanation:
3x(2x+5) = 6x^2+15x
2x(x+9) = 2x^2+18x
(6x^2+15x)-(2x^2+18x) = 4x^2-3x
Answer:
11x
Step-by-step explanation:
Solve the system of equations using the substitution method.
y = 5x
7x + 2y = -17
(x, y) = ( , )
PLSSS HELP
Answer:
1. = 5 10 15 20 25
2. 2 4 6 8 10 12 14
X, y =10
I have 7,800 dollars and rent is 625.55 what is the yearly amount?
Simplify this expression.
Can anyone help pls
Answer:
Step-by-step explanation:
can someone answer this
Answer:sadwer
Step-by-step explanation:
matematicas
[tex]6. \binom{ \sqrt{3} }{2} - ( - 2.5 )= [/tex]
Answer:
3.36602540378
Step-by-step explanation:
The way I read the question, the unknown in the first set of parenthesis is a fraction. If I am wrong, please correct me so my answers are better in the future.
using the graph, determine the coordinates of the roots of the parabola
Answer:
x = 1, x = 7
Step-by-step explanation:
The roots are the values of x where the graph crosses the x- axis
The graph crosses the x- axis at 1 and 7 , then
the roots are x = 1, x = 7
Answer:
(1,0) and (7,0)
Step-by-step explanation:
Roots are also known as the zeroes, or x-intercepts. This is where the line crosses the x axis, here it crosses where x is 1 and where x is 7.
Two factory plants are making TV panels. Yesterday, Plant A produced 8000 panels. Four percent of the panels from Plant A and 1% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 2%?
Answer:
The answer is "16,000"
Step-by-step explanation:
In this question the amounts of panels created by B the x.
[tex]\therefore[/tex]
Calculating the amounts of defective panels from B:
[tex]\to \frac{1}{100} \times x = 0.01x[/tex]
Calculating the amounts of defective panels from A:
[tex]\to \frac{4}{100} \times 8000 = 320[/tex]
Calculating the total defective panels are :
[tex]\to 320+ 0.01x[/tex]
Calculating the total panels manufactured:
[tex]\to 8000 + x[/tex]
when the overall percentage of the defective panels is [tex]2\%[/tex]
[tex]\to \frac{(320 + 0.01x)}{(8000 + x)} = 0.02\\\\\to (320 + 0.01x) = 0.02 (8000 + x)\\\\\to 320 + 0.01x = 160 + 0.02x\\\\\to 320 -160 = -0.01x + 0.02x\\\to 160 = 0.01x\\\\\to x=\frac{160}{0.01}\\\\\to x=16,000\\\\[/tex]
Can someone please help me solve this problem
Step-by-step explanation:
Step 1: After adding 875 to both sides of the original equation, you get
[tex]x^2+10x+\text{ ----- }=875[/tex]
Step 2: b is the coefficient of the x term, so b = 10. Divide in half (always half for completing the square!).
[tex]\frac{10}{2}=5[/tex]
Square that result to get 25. That's c, the amount to add to both sides of the equation.
Step 3: Adding c to both sides produces
[tex]x^2+10x+25=875+25[/tex]
Step 4: The result of Step 3 is [tex]x^2+10x+25=900[/tex], and the left side factors as a perfect square.
[tex](x+5)^2=900[/tex]
Step 5: After taking square roots of both sides, you get
[tex]x+5=\pm 30[/tex] which represents "two equations in one."
Separate them.
[tex]x+5=30 \text{ or } x+5 =-30\\x=25 \text{ or } x=-35[/tex]
Frogs are released into a pond where there are no other frogs of this species. The
function f(t) can be used to model the population of this new species after t years.
Below are 4 forms of the function that model this situation. Which form most clearly
shows the monthly population growth?
Answer:
[tex]f(t)=12(1.0139)^{12t}[/tex]
Step-by-step explanation:
Let the initial number of frogs = 12
And their population is growing with the annual growth rate = 16.68% per year
Function modeling the population after 't' years will be,
[tex]P(t)=12(1+r)^{t}[/tex]
Here, r = Annual growth rate
t = Number of years
If we convert the annual growth rate to monthly growth rate,
Expression modeling the population will be,
[tex]f(t)=12(1+\frac{r}{12})^{12t}[/tex]
[tex]=12(1+\frac{16.68}{12})^{12t}[/tex]
[tex]=12(1.0139)^{12t}[/tex]
Therefore, [tex]f(t)=12(1.0139)^{12t}[/tex] will be the answer.
Find the surface area of the solid given the net
what is the solution to this equation?
3x+x-13+4-6x=12
A. x= -21/2
B. x= 21/2
C. x= 3/2
D. x= -3/2
Answer:
A.
Step-by-step explanation:
3x + x - 13 + 4 - 6x = 12
we try to combine the elements with the same power of x (including the ones without any x) :
3x + x - 6x
-13 + 4
so, we get
-2x - 9 = 12
-2x = 21
x = -21/2
Answer:
A
Step-by-step explanation:
group the like terms
3x+x-6x-13+4=12
-2x=12+9
divide both sides by -2
-2x/-2=21/-2
x= -21/2
hope it helps
F(x)=-3x^2+4x+4
G(x)=x(-7x-7)
Which expression is equal to f(x)+g(x)
Answer:
A
Step-by-step explanation:
f(x)+g(x)=-3x^2+4x+4+x(-7x-7)= -3x^2+4x+4 -7^2-7x
= -10x^2-3x+4
Which is the graph of f(x) = 3 (2/3)x ?
Step-by-step explanation:
.....................
if we put a marble in 10 ml of water how can we find its volume
please answer
i will mark brainliest
Answer: See below
Step-by-step explanation:
This relates to the usage of water displacement.
Have the 10 ml of water ready in a measuring flask (or any container that has a scale)Put the marble into the waterObserve how much did the water riseSubtract the current water level by the original 10 mlThe final answer would be the volume.------------------------------------------------------------------------
EXTRA (Only for advanced purposes, if you do not understand, it is totally fine)
Refer to the attachment below to finish the question.
Assuming the water levels are integer,
The original water level is 13.33 mlAfter the rock is put in, the water level is raised to 30 mlThen, we do the fourth step which is subtraction
30 - 13.33 = 16.66 mlHope this helps!! :)
Please let me know if you have any quesitons
Factorise:
What is the answer for 3x²+ 11xy + 6y²
Answer:
(3x+2y)(x+3y)
Step-by-step explanation:
First:
(3x²+ 2xy) + (9xy + 6y²)
then:
x(3x+2y) + 3y (3x+2y)
s0:
(3x+2y)(x+3y)
-2b^2-18b^2
Help me. Plz
Answer:
[tex]{ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} [/tex]
Which expression is equivalent to the given expression?
Answer:C
Step-by-step explanation:
a^0=1 so youre left with 6ab/b8
then,
6a•b^(1-8)
6a•b^-7
therefore, 6a/b^7 is the answer
If anyone knows the answer plz tell me, thank you
Answer:
A
Step-by-step explanation:
plug it in
(-3)^2+(4)^2=9+16=25
Answer:
[tex]\text{A) }x^2+y^2=25[/tex]
Step-by-step explanation:
The equation of a circle with center [tex](h, k)[/tex] and radius [tex]r[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex].
We're given:
The circle's center is at the origin (0, 0)The point (-3, 4) is on the circleSince we're given the circle's center, we just need to find the radius. Because the center of the circle is at (0, 0), the radius will be equal to the distance from (-3, 4) and (0, 0).
For points [tex](x_1, x_2)[/tex] and [tex](x_2, y_2)[/tex], the distance between them is given by the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let:
[tex](x_1, y_1)\implies (0, 0)\\(x_2, y_2)\implies (-3, 4)[/tex]
The distance between these two points must be:
[tex]d=\sqrt{(-3-0)^2+(4-0)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=5[/tex]
Therefore, the radius of the circle is 5 and the equation of the circle is:
[tex](x-0)^2+(y-0)^2=5^2,\\\boxed{x^2+y^2=25}[/tex]
what is the square root of 25
the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!
10 men painted 3 identical houses in 5 hours, working at a constant rate. How many houses would it take 20 men to paint 12 such houses, working at the same constant rate?
THE answer is
10 hours
