The ratio of cars to trucks in a parking lot was 5:2. The ratio of trucks to bicycles in the parking lot was 1:4. If there were 20 cars in the lot, how many bicycles were in the lot
Answer:
16 Bicycles
Step-by-step explanation:
......................
4 x4 x4 x5 x5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4\times4\times 4\times5\times5}[/tex]
[tex]\mathsf{4\times4 = \bf 16}[/tex]
[tex]\mathsf{\bold{16} \times 4\times 5\times 5}[/tex]
[tex]\mathsf{16\times4 = \bf 64}[/tex]
[tex]\mathsf{\bold{64}\times5\times5 }[/tex]
[tex]\mathsf{64\times5 = \bf 320}[/tex]
[tex]\mathsf{\bold{320}\times5}[/tex]
[tex]\mathsf{= \bf 1,600}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\huge \bf 1,600}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help! x+15 is 1/2 of x+21. What is x+15?
Answer:
x=6
Step-by-step explanation:
Simplifying
x + 15 = 21
Reorder the terms:
15 + x = 21
Solving
15 + x = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + x = 21 + -15
Combine like terms: 15 + -15 = 0
0 + x = 21 + -15
x = 21 + -15
Combine like terms: 21 + -15 = 6
x = 6
Simplifying
x = 6
HOPE THIS HELPS :)
HELP ASAP!!! PLEASE!!! look at the screenshot (15 pts)
Answer:
should be A sorry if I'm wrong
help me plz..
the pair of line represented by equation 9x²+12xy+(k+1)y²=0 coincide, find the value of k
Answer:
k=3 is your answer
Step-by-step explanation:
given equation :
9x²+12xy+(k+1)y²=0
comparing above equation with
ax²+2hxy+by²
we get
a=9
h=12/2=6
b=k+1
since lines are coincident
ø=0
Tan0=±[2√(h²-ab)]/(a+b)
we get
h²=ab
6²=9(k+1)
36/9=k+1
4=k+1
k=4-1=3
The value of k will be;
⇒ k = 3
What is Equation of line?The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The pair of equation is,
⇒ 9x² + 12xy + (k + 1)y² = 0
Now,
We know that;
The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,
⇒ h² = ab
So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;
⇒ 2h = 12
⇒ h = 6
⇒ a = 9
⇒ b = (k + 1)
Substitute all the values in given condition for coincide , we get;
⇒ h² = ab
⇒ 6² = 9 (k + 1)
⇒ 36/9 = k + 1
⇒ 4 = k + 1
⇒ k = 4 - 1
⇒ k = 3
Thus, The value of k = 3
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
Find the value of x that makes the equation true
3/5x + 10 = 4/5x - 6
Answer:
80
Step-by-step explanation:
multiply both sides by 5
3x +50 = 4x -30
combine like terms
-x = -80
x = 80
what shape would be made if you cut a rectangular pyramid diagonally?
Answer:
You would get a trapezoid shape.
Step-by-step explanation:
1,find the equation of the line with y-intercept (0,8) and slope ⅗. 2,Find the slope and y-intercept of y=10x-⅓. 3,Find the slopes of the lines containing these points. a) (4,-3) and (6,-4) b)
Answer:
1) y = 3/5x + 8
2) Slope: 10
y-intercept: -1/3
3) y = -1/2x - 1
Step-by-step explanation:
1) The equation you need to refer to for this problem is y = mx+b
m = slope (3/5 for this problem)
b = y-intercept(which is 8)
plug those numbers in and you get y = 3/5x + 8
2) look back at this equation: y = mx+b
10 is the slope and -1/3 is the y-intercept
3) This one is a bit more difficult as you need two other formulas to solve:
the slope formula, y1 - y2/x1 - x2, and the point-slope formula,
y - y1 = m(x - x1)
For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:
-3 -(-4)/4 - 6 = -1/2
the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.
-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)
To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:
(keep in mind, for this, I used (4,-3) but you can use either one)
y -(-3) = -1/2(x - 4)
To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:
y -(-3) = -1/2x + 2
Then, on the other side, add the to negatives to get a positive 3:
y + 3 = -1/2x + 2
and subtract 3 from both sides:
y = -1/2x - 1
I hope this isn't too confusing
good luck!
Marlena was asked to find an expression that is not equivalent to 212 Which of the following is not equivalent to the given
expression?
Answer:
(2⁶)(2⁶)
Step-by-step explanation:
Hope it help
brainliest please
2 black 5 grey and 1 white marbles. What is the likelihood pf picking white?
Answer: The probability is 5/6
Step-by-step explanation:
Find the circumference and the area of a circle with radius 5mm.
Write your answers in terms of π, and be sure to include the correct units in your answers.
Answer: 31.4 mm
Step-by-step explanation:
C=2πr
2(3.14)(5)
2(15.7)
31.4
HELP MEEEEEEEE PLZZZZZZ
Step-by-step explanation:
what is the question talking about
Please help!! Find the value of x and y
the value of "x" is 5 and the value of "y" is 12
HELP PLEASE 10 POINTS
Answer:
A
Step-by-step explanation:
Pomocy. Wskaż powierzchnię całkowita sześcianu, którego objętość jest równa 64 cm.
4. 16 om?
B. 64 cm
C. 96 cm2
D. 512 cm?
Answer:
C. 96 cm²
Step-by-step explanation:
Objętość sześcianu = 64 cm³
Krok 1
Znajdujemy długość boku sześcianu
Objętość = (długość boku) ³
64 = a³
a = pierwiastek sześcienny (64)
a = 4 cm
Krok 2
Znajdujemy obszar sześcianu
Wzór na całkowitą powierzchnię sześcianu = 6a²
a = 4 cm
Całkowita powierzchnia = 6 × 4²
= 6 × 16
= 96 cm²
Opcja C jest właściwą opcją
Write an equation of the perpendicular bisector of the segment with endpoints M(10,-7) and N(-4,1).
14cm
12 cm
22cm. Find the area.
Answer:
216 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]
so if you say hi to someone and they dont say it back what do you do
You can either walk by and just go with it, say dang okay, or you could walk past them like you were saying it to someone else. Good luck to you if you end up in the situation.
Answer:
Give them a dirty look, then say it louder but if u dont want to say it again then just leave them alone. If not BEAT THEM UP
Step-by-step explanation:
What is the value of x? Enter your answer in the box.
Answer:
Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem
Step-by-step explanation:
3x + 50 = 6x - 10
3x + 60 = 6x
60 = 3x
20 = x
see how I got that?
A number is 11 less than 3 times another number. The sum of the numbers
is 25. What are the two numbers?
Can you please send the work too
Step-by-step explanation:
this is simple use it and enjoy
Step-by-step explanation:
Let x be the first number
Let y be the 2nd number
given,
[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]
as equation 1
and
[tex]x + y = 25[/tex]
as equation 2.
Now we will use elimination method to solve for simultaneous equations.
We will use equation 1 - equation 2 to eliminate x to solve for y.
[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]
Substitute y into equation 2.
[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]
The numbers are 9 and 16.
Justin has $0.90 worth of nickels and dimes. He has a total of 15 nickels and dimes altogether. Determine the number of nickels, x,x, and the number of dimes, y,y, that Justin has.
A classroom has 20 seats arranged in 5 rows of 4 seats each. Each student is randomly assigned a seat.
What is the probability that the first student is placed in the first row?
1 / 5
I like orange juice.
a new computer costs 950$ but it depreciates in value by about 14% each year.At this rate,how much will it be worth in 6 years?
Step-by-step explanation:
950x14= 13 300
13300/100
133$ per year
133x6years= 798$
so 950-798= 152
152$ will be the price of the pc at this rate you said
. The expression 5n + 2 can be used to find the total cost in
dollars of bowling where n is the number of games bowled and
2 represents the cost of shoe rental. How much will it cost
Vincent to bowl 3 games?
Answer:
$17
Step-by-step explanation:
If n is the number of bowls, then replace n with 3
5(3) + 2 = x
15 + 2 = x
x = 17
does anyone know what the answer is ?
Answer:
Volume of the cylinder is 588π cm³ Or 1846.32 cm³
Step-by-step explanation:
Area of a cylinder is given by the formula,
Volume = πr²h
Here, r = Radius of the circular base
h = Height of the cylinder
From the picture attached,
Radius of the given cylinder = 7 cm
Height of the cylinder = 12 cm
By substituting these values in the formula,
Volume of the cylinder = π(7)²(12)
= 588π cm³
≈ 1846.32 cm³
Therefore, volume of the cylinder is 588π cm³ Or 1846.32 cm³.
Helppp look at photo will mark brainliest
Answer:
C) 12.5
The length of BC = 12.5cm
Step-by-step explanation:
Step(i):-
Given that ΔABC
Given that AB = 15cm and ∠A = 40°
we will use trigonometric function
[tex]tan x = \frac{oppositeside}{adjacentside}[/tex]
[tex]tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}[/tex]
Step(ii):-
we know that tan40° = 0.83909
[tex]tan 40^{0} = \frac{BC}{15}[/tex]
BC = 15 × tan 40°
BC = 12.58649
BC = 12.5cm
Final answer:-
The length of BC = 12.5cm
There are five loaves of bread shared among a group of teachers each teacher has 1/5 of his or her share how many teachers had an equal amount of share
Answer:
25
Step-by-step explanation:
number of teachers that got an equal amount = total loves of bread ÷ fraction the bread is shared
5 ÷ 1/5
5 x 5 = 25
Answer dis for me ASAP
the answer is B 87.5
ILL GIVE BRAINLEIST!!
Find the sum of the given arithmetic series:
104 + 101 + 98+...+14
A. O 1820
B. O 1786
C. 1829
D. O 1926
Answer: 317
Step-by-step explanation:
A stone is thrown horizantally with a velocity of 50 m/s from the top of a building. Find its velocity after 2 seconds.
Answer:
V = 53.7 m/s ∠-21.41°
Step-by-step explanation:
Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s
So, v = u - gt
v = 0 m/s - 9.8 m/s² × 2 s
v = 0 m/s - 19.6 m/s
v = - 19.6 m/s
Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)
So, V = √((50 m/s)² + (-19.6 m/s)²)
V = √(2500 m²/s² + 384.16 m²/s²)
V = √(2884.16 m²/s²)
V = 53.7 m/s
Its direction Ф = tan⁻¹(v/u')
Ф = tan⁻¹(-19.6 m/s/50 m/s)
Ф = tan⁻¹(-0.392)
Ф = -21.41°
So it velocity V = 53.7 m/s ∠ -21.41°