Jaylin has a scale model of a train. 2 cm in the lotto represents 3 feet in a real train. The height of the model train is 10.2 cm. What is the height of the real train?
6. Expand the expression 4(x + 5).
PLEASE HELP DUE TOMORROW
Answer:
4x+20
Step-by-step explanation:
Using the distributive property you multiply the terms outside by the terms inside. So the expression will be like this
4(x)+4(5)
When simplified the answer is
4x+20
Answer:
Step-by-step explanation:
Here you go mate
Step 1
4(x + 5) equation
Step 2
4(x + 5) simplify the expression
(x+5)4
(x+5)(4)
answer
20+4x
Can anyone help me with this
Answer:
D. 8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9
Step-by-step explanation:
(8x⁸ - 9x³ + 3x² + 9) + (4x⁷ + 6x³ - 2x)
Apply distributive property to eliminate parentheses
8x⁸ - 9x³ + 3x² + 9 + 4x⁷ + 6x³ - 2x
Collect like terms
8x⁸ + 4x⁷ - 9x³ + 6x³ + 3x² - 2x + 9
8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9
The sum of two numbers is 66 and the difference is 14. What are the numbers!?
Larger number :
Smaller number!?
Answer:
66 and 52?
Step-by-step explanation:
any help
plz
i need som body help
Directions: find the equation of each line in standard form with the given properties:
1. Slope =3, y-intercept=1
2. Passing through (0,2), slope = -4
3. Passing through (-1,3) and (1,1)
4. Passing through (1,3), slope = 1/2
5. Passing through (1/2,1) and (4,2)
Answer:
Step-by-step explanation:
1) slope = 3 ; y-intercept = 1
y = mx + b
y = 3x + 1
0 = 3x + 1 -y
-1 = 3x - y
ANS: 3x - y = -1
2) Passing through (0,2), slope = -4
y - y₁ = m(x -x₁)
y - 2 = -4(x - 0)
y - 2 = -4x
4x + y - 2 = 0
Ans: 4x + y = 2
3)Passing through (-1,3) and (1,1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-3}{1-[-1]}\\\\= \frac{-2}{1+1}\\\\= \frac{-2}{2}\\\\= - 1[/tex]
m= -1 ; (-1 , 3)
y - y₁ = m(x -x₁)
y - 3 = (-1)(x - [-1] )
y -3 = (-1)(x +1 )
y - 3 = -x - 1
x + y -3 = -1
x +y = -1 + 3
Ans: x + y = 2
4) Passing through (1,3), slope = 1/2
y - y₁ = m(x -x₁)
[tex]y - 3 = \frac{1}{2}(x - 1)\\\\y - 3 = \frac{1}{2}x - \frac{1}{2}\\\\[/tex]
Multiply the equation by 2
[tex]2*y - 2*3 = 2*\frac{1}{2}x - 2*\frac{1}{2}\\\\2y - 6 = x - 1\\[/tex]
2y - 6 +1 = x
2y - 5 = x
-5 = x - 2y
Ans: x - 2y = -5
5) Passing through (1/2,1) and (4,2)
Slope = [tex]\frac{2-1}{4-\frac{1}{2}}[/tex]
[tex]= \frac{1}{\frac{7}{2}}\\\\= \frac{2}{7}[/tex]
m = 2/7 ; (4 , 2)
y - y₁ = m(x -x₁)
[tex]y - 2 = \frac{2}{7}(x - 4)\\\\7y - 7*2 = 7*\frac{2}{7}(x - 4)\\\\7y - 14 = 2(x -4)\\\\7y - 14 = 2x - 8\\\\[/tex]
7y - 14 + 8 = 2x
7y - 6 = 2x
Ans: 2x - 7y = -6
Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ∫ 9 0 | 6 x − 6 | d x
Answer:
-189
Step-by-step explanation:
[tex]\int^9_0 \ |6x-6| \ dx[/tex]
⇒ 6x - 6 = 0
6x = 6
x = 1
[tex]\int^9_0 \ (6x- 6 ) \ dx = \int^9_0 \ -(6x - 6) \ dx[/tex]
[tex]= - \Big[ \dfrac{6x^2}{2}- 6x \Big]^9_0[/tex]
[tex]= - \Big[ \dfrac{6(9)^2}{2}- 6(9) - 0 \Big][/tex]
[tex]= -(243 - 54 - 0 )[/tex]
= -189
Example 3:
John earned grades 78, 68, 92, and 85 on the four text of the semester. What is the total number of points he
earned on the four tests.
read the question below please
Answer: 900 times
Step-by-step explanation:
1 kilometer = 1000 meters
1.8 kilometers = 1000 × 1.8
1.8 kilometers = 1800 meters
2 meters = 1 click
1800 meters = 1800 ÷ 2
1800 meters = 900 clicks
The wheel will click 900 times when Ty walks 1.8 kilometers.
Hope this helped!
Answer:
It will click 900 times
Step-by-step explanation:
We know that there are 1000 meter in 1 km.
So 1.8 km is basically
1.8*1000=1800
So 1800 meters
And every 2 meters it clicks once
So 1800/2=900
So 900 times in 1.8 km
4
A roulette wheel consists of 18 red slots, 18 black slots, and 2 green slots. A player can wager $1 that a marble
will land in a red slot, in which case the player would gain a $1. If the marble lands in a slot that isn't red, then
the player loses their $1 wager. Let X represent the player's gain from a random $1 wager on red. Here's the
probability distribution of X along with summary statistics:
A piz
size
Xro
prot
Lose
Win
-1
1
X = gain ($)
P(X)
20/38
X
18/38
px - $0.05
Mean:
P
Standard deviation:
Ox $1.00
Suppose a player decides to wager $5 instead of $1, so the possible outcomes become either losing or winning
$5. Let Z represent the player's gain from a random $5 wager on red.
The
What are the mean and standard deviation of Z?
any
prot
on a
μ28
dollars
Wha
dollars
Uy
Answer: -0.25 and 5
Step-by-step explanation:
Khan
PLS HELP ASAP THANKS
Answer:
(5,-1)
x=5
y= -1
Step-by-step explanation:
To solve this we're going to solve for one variable in either equation
so we have
x+y=4
We can subtract y and 4 from both sides to get
x-4= -y
Then divide by -1 so that y will be a positive number
-x+4=y
We can plug this in for y in the other equation
2x -2(-x+4)=12
Distribute the -2 and get
2x+2x-8=12
Combine like terms and add 8 to get
4x=20
divide and get x=5
Plug in x=5 into the first equation to get
5+y=4
subtract 5 to get y= -1
Our answer is (5,-1) or x=5 y= -1
I checked this on desmos and the math is correct
Answer:
The solution to the system of equations will be:
x = 5, y = -1
Step-by-step explanation:
Given the system of equations
x + y = 4
2x - 2y = 12
Isolate x for x + y = 4: x = 4 - y
substitute x = 4 - y in the equation 2x - 2y = 12
2(4-y) - 2y = 12
8 - 2y - 2y = 12
8 - 4y = 12
4y = 8 - 12
4y = -4
divide both sides by 4
4y/4 = -4/4
y = -1
substitute y = -1 in x + y = 4
x + y = 4
x + (-1) = 4
x - 1 = 4
x = 5
so
(x, y) = (5, -1)
Therefore, the solution to the system of equations will be:
x = 5, y = -1
(-25 + 4²) × 7
.pemdas
pls help asap!! correct answers only
Pls help I need a good grade on this
Answer:
y=1.125×8 or y=1.125×24
Point M is between L and N. LN = 23 and MN = 3. Find LM.
Answer:
20
Step-by-step explanation:
Answer:
LM = 20
Step-by-step explanation:
To find LM we have. to subtract MN from LN
So 23 - 3 = 20
Solve in terms of x: z = x + y
Answer:
[tex]z = x + y \\ \huge \boxed{x = z - y}[/tex]
Using cross multiplication, which of the following is the solution to 7/3x = 2/(x+5)?
35
-35
-1/35
1/35
is this correct btw I put 1400
Answer: Yes
Step-by-step explanation: The answer of 1400 is correct.
What I did is I found the area of the figure assuming it was a rectangle, then I subtracted the corners that were removed.
1800 - 150 - 100 - 150 = 1400
Answer:
Yup Its Correct
Step-by-step explanation:
The Calculated Area Al adds up to 1400
May someone help me understand 2 step equations
3y + 6 = 12
Answer:
= 2
Step-by-step explanation:
3 + 6 = 1 2
subtract 6 from both sides of the equation
3 + 6 − 6 = 1 2 − 6
3 = 1 2 − 6
3y/3 = 6/3
y = 6/3
y = 2
i'm taking the same thing :)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
A bank is offering 2.5% simple interest on a savings account. If you deposit $5000, how much interest will you earn in one year?
Answer:
$125
Step-by-step explanation:
To solve this, we need to find 2.5% of 5,000. To do this, we multiply 5,000 by .025. This gets us 125. That means you earn $125 worth of interest in one year.
Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find the total surface area of the cylinder.
PLEASE HELP ME AS FAST AS POSSIBLE With a full process.
Answer:
925.04cm²
Step-by-step explanation:
Curved surface area of a cylinder = 2πrh
If the sum of the radius of the base and height of the cylinder is 21 cm, then;
r + h = 21
r = 21-h..... 1
The curved surface area is expressed according to the formula
CSA = 2πrh
Substitute the value of CSA given into the formula
616 = 2πrh ....2
Substitute equation 1 into 2;
]616 = 2π(21-h)h
616 = 2π(21h-h²)
Note that π = 3.14
616 = 42(3.14)h - 2(3.14)h²
616 = 131.88h - 6.28h²
98.09 = 21h - h²
h²-21h+98.09 = 0
h = 21±√21²-4(98.09)/2
h = 21±√441-392.36/2
h = 21±√48.64/2
h = 21±6/97/2
h = 21+6.97/2 and 21-6.97/2
h = 27.97/2 and 14.03/2
h = 13.985 and 7.015
Recall that r = 21-h
r = 21 - 13.985
Substitute r = 7.015 into the total surface area of the cylinder
The total surface area = 2πrh + 2πr²
The total surface area = 616 + 2(3.14)7.015²
The total surface area = 616 + 309.04
The total surface area = 925.04
Hence the total surface area of the cylinder is 925.04cm²
i giveeee brainlilst
Answer:
yes 17-17=8=9=23/23/234/23=-234
Step-by-step explanation:
Please help quickly I only have 5 mins!!!
PLEASE MARK BRAINLIEST!
Answer:
Let's go step-by-step ⇒
[tex]\frac{10x + 4}{7} = 8[/tex]
= [tex](\frac{7}{1})\frac{10x+4}{7} = \frac{8}{1}(\frac{7}{1})[/tex]
= [tex]10x+4=56[/tex]
= [tex]10x = 52[/tex]
= [tex]x = 5.2[/tex]
Your answer is x = 5.2
I hope this helps!
- sincerelynini
Eva bought one share of a company's stock for $42 on Monday. Over the next two days, the value of the stock changed, as described below. •change in value on Tuesday: -$15 • change in value on Wednesday: +$15 which number line best represent the value of Eva’s stock over the three-day period?
Answer:
The first number line is correct.
Step-by-step explanation:
To find the number which best represents Eva's stock, we look into the text, and find the changes:
Monday: Stock bought at $42.
Tuesday: Change of -$15, so now it is worth $42 - $15 = $27
Wednesday: Change of +$15, so now it is worth $27 + $15 = $42
The number line which represents the decrease, and then the increase, is the first one.
Skye's Ice Cream Shoppe is Mario's favorite place to get ice cream. Unfortunately, because he was late arriving, his friends had already ordered. He did not know what they had ordered for him. They told him that is was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry.
The total number of possible outcomes is?
Answer:
6
Step-by-step explanation:
there are six outcomes:
waffle cone apricot
waffle cone chocolate
waffle cone blackberry
sundae apricot
sundae chocolate
sundae blackberry
What is the value of x in simplest radical form?
Answer:
D. [tex] x = \frac{5*\sqrt{2}}{2} [/tex]
Step-by-step explanation:
Reference angle = 45°
Length of Opposite side = x
Hypotenuse length = 5
Applying trigonometric ratio, we have:
[tex] sin(45) = \frac{x}{5} [/tex]
Multiply both sides by 5
[tex] 5*sin(45) = \frac{x}{5}*5 [/tex]
[tex] 5*sin(45) = x [/tex]
[tex] 5*\frac{1}{\sqrt{2}} = x [/tex] (sin 45 = 1/√2)
[tex] \frac{5}{\sqrt{2}} = x [/tex]
Rationalize
[tex] \frac{5*\sqrt{2}}{\sqrt{2}*\sqrt{2}} = x [/tex]
[tex] x = \frac{5*\sqrt{2}}{2} [/tex]
Lisset throws a softball from a height of 4 feet, with an initial velocity of 60 feet per second at an angle of 45 degrees with respect to the horizontal. what is the height of the ball when it is 100 feet away from Lisset?
How do I ask a quaestion
Answer:
Step-by-step explanation:
Hahahhhh Lol
On Saturday, the vacation resort offers a discount on water sports. To take
a surfing lesson and go parasailing costs $130. That day, 25 people take
surfing lessons, and 30 people go parasailing. A total of $3,650 is collected.
What is the discounted price of each activity?
Answer:
Let x be the discounting price of a surfing lessons per person
Let y be the discounted price of a surfing lessons per person
The cost of taking a surfing lesson and go parasailing is $130
x + y = 130--------------(i)
25 people take
Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected
25x + 30y = 3650--------------(ii)
We solve for y using equ (i):
y = 130 - x ------------(iii)
Substitute equ (iii) to equ (ii) and solve for x
25x + 30(130 - x) = 3650
25x + 390 - 30x = 3650
-5x = -250
-x = 50
We solve for y using equ (iii):
y = 130 - x
y = 130 - 50
y = 80
So, the discounted price to take a surfing lesson is $50 and the discounted price to go parasailing is $80
Four cards cost £12. How much will five cards cost
Answer:
it would cost £15
Step-by-step explanation:
12 ÷ 4 = 3
3 × 5 = 15