Hey there! :)
3t - 18 = 4(-3 - 43t)
Let's start on the right side of the equal sign by multiplying "4" with everything inside of the parenthesis. Keep in mind that a negative times a negative is a positive & a negative times a positive is a negative.
4 × -3 = -124 × -43t = -172tLet's put this all together:
3t - 18 = -12 - 172t
Now, we need to isolate "t." We can do this by adding 18 to both sides along with adding "172t" to both sides.
3t - 18 + 18 + 172t = -12 - 172t + 172t + 18
Simplify.
3t + 172t = -12 + 18
Simplify - add like terms!
3t + 172t = 175t-12 + 18 = 6Let's put this all together:
175t = 6
Divide both sides by 175.
175t ÷ 175 = 6 ÷ 175
Simplify.
t = 6/175Hope this helped! :)
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction
Step 1
3t−18=4(−3− 43 t) Equation/Question
Step 2
3t-18=4(−3− 43 t) Remove parenthesis
3t-18=-172t-12
Step 3
3t-18=-172t-12 Add 172t
175t-18=-12
Step 4
175t-18=-12 Add 18 to sides
175t=6
Step 5
175t=6 Divide sides by 175
[tex]\frac{175t}{175} =\frac{6}{175}[/tex]
answer
t=[tex]\frac{6}{175}[/tex]
Hope this helps
a ball is launched upward from the ground with an initial velocity of 20 ft/s. The height of the ball at time t is represented by the function h(t). h(t)=-16t^2+20t, where t is measured in seconds and h(t) is measured in feet. drag the values to the lines to complete each sentence.
1. The ball reaches its maximum height when t is ____ seconds.
2. The maximum height of the ball is ____ feet.
3. The balls hits the ground when t is ____ seconds.
OPTIONS: 0.4 0.625 0.8 1.25 5.44 6.25 12.5 25
Answer:
1.-t₁ = 0,625 s
2.-h(max) = 6,25 f
3.-t = 1,25 s
Step-by-step explanation:
V₀ = 20 f/s
h(t) = - 16*t² + 20*t
h(max) = ??
h´(t) = - 32*t + 20
h(max) will occurs when V = 0 dh/dt = 0 then
- 32*t + 20 = 0
- 32*t = -20
t = 20/32
t₁ = 0,625 s
h(max) = h(0,625) = - 16*(0,625)² + 20*0,625
h(max) = - 6,25 + 12,5
h(max) = 6,25 f
c) The ball will hit the ground
t = 2*t₁
t = 2*0,625
t = 1,25 s
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of the following is closest to the percent error for Diego's measurement?
Answer: 4.3%
Step-by-step explanation:
100(23 -23)/23
Mega-Gym costs a one-time $60 membership fee and then charges $70 per month, while Mega-er-Gym does not charge a membership fee but costs $90 per month. If you sign up for Mega-Gym, how many months is it until your cost os the same as Mega-er-Gym?
Answer:
3 months
Step-by-step explanation:
So 60 dollar down and 70 per month
130 (60+70)
200
270
now 90 per month but no down
90
180
270
So 3 months
The number of months will be 3 is it until your cost is the same as Mega-er-Gym. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mega-Gym costs a one-time $60 membership fee and then charges $70 per month, while Mega-er-Gym does not charge a membership fee but costs $90 per month.
Cost of Megagym = 60 + 70m
Cost of Mega-er-Gym = 90m
90m = 60+70m
20m = 60
m = 60 / 20
m = 3 months
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Lily, Juliet, and Willow are baking muffins. Lily has 1 1/2 cups of flour, Juliet has 3/4 cup of flour, and Willow has 1 2/6 cups of flour. How many cups of flour do they have altogether?
Answer: 3 7/12
Step-by-step explanation:
From the question, we are given the information that Lily has 1 1/2 cups of flour, Juliet has 3/4 cup of flour, and Willow has 1 2/6 cups of flour.
The number of cups of flour that they have altogether would be the addition of all the fractions of each girl. This would be:
= 1 1/2 + 3/4 + 1 2/6
The lowest common multiple is 12, therefore we make them have a common denominator
= 1 6/12 + 9/12 + 1 4/12
= 2 19/12
= 2 + 1 7/12
= 3 7/12 cups
Sneakers at Mr. Lou's garage sale cost the same price. Alexander paid $90.52 for four pairs. How many pairs of sneakers did Justin buy if he paid $135.78? Write a proportion and use cross products to solve for d, the number of sneakers that David bought
Answer:
6 pairs
Step-by-step explanation:
Since we are given a ratio/proportion problem and 3 values and 1 variable then we can use the Rule of three to solve this problem. We simply multiply the diagonal values available and divide by the 3 value to find the variable of the ratio like so...
4 pairs <======> $90.52
d pairs <======> $135.78
(4 * 135.78) / 90.52 = 6 pairs
Finally, we can see that Justin ended up buying a total of 6 pairs of sneakers.
Sarah has to travel 60 miles to see her friend. Her dad drives at 30 mph and her uncle drives at 40 mph. How much time does she save if she travels with her uncle rather than her dad
Answer:
1h30min
Step-by-step explanation:
Please give me the correct answer
Answer:
[tex] \sqrt{149} [/tex]
Step-by-step explanation:
leg 1 squared plus leg 2 squared = 3rd leg squared
Answer: [tex]c = \sqrt{149}[/tex]
Step-by-step explanation:
[tex]a =7 \\b=10\\a^{2} +b^{2}=c^{2}\\7^{2} + 10^{2} =c^{2}\\49 + 100 = c^{2}\\c^{2} = 49 + 100\\c^{2}=149\\\sqrt{c^{2}} =\sqrt{149}\\c = \sqrt{149}[/tex]
5ft is what percent of 37 1/2 ft? I also need 37 1/2 is what percent of 5? Thank you!
Answer:
13.33333333
Step-by-step explanation:
Answer:
13.33333
Step-by-step explanation:
Evaluate the expression if x=2 and y=4
4x + 3y
1. 13
2. 15
3. 20
4. 21
4(2) + 3(4) =
8 + 12 =
20
and your final answer is 20
1. Identify and explain one way in which the movie portrays historical facts accurately in the movie (History vs. Hollywood).
Please help !!! It’s due today
Answer: D
Step-by-step explanation:
the second one cant be it because its negative and it would end in a negative result and 3,1 is equal to 2x-5 on the graph
express 80 as an product of it's prime number
Answer:
"When you will get the factors of 80 you will get 2 * 2 * 2 * 2 * 5.
These numbers are the prime numbers that make them the prime factor of the 80.
It is known as prime because the number will not be divided by any other number except themselves or 1."
Step-by-step explanation:
Answer:
I
Step-by-step explanation:
wish this is your answer
Three times a number is 4 more than twice the number
Answer:
3n = 2n + 4
Step-by-step explanation:
That is that as an equation.
can anyone help me create the equation of the given parabola . is it x^2-x-3?
Answer:
The function of this parabola is is equal to [tex]f(x) = (x-1)^{2} - 4[/tex]
Step-by-step explanation:
If we look at this picture we cans see that the most bottom point of this parabola is located 4 units below and 1 unit tot he right of the origin point. From here we know tha tthe function will lokk something like this....
[tex]f(x) = (x^-1)^{2} + bx - 4[/tex]
But in our case b is equal to zero and so we get that the following parabola is represented by the following function....
[tex]f(x) = (x-1)^{2} - 4\\[/tex]
(If you don't believe me you can check this function on a graphing site called Desmos)
independent practice: tangents of circles
Find the value of x in each of the following:
(see picture)
Answer:
Step-by-step explanation:
9). "Tangent is perpendicular to the radius of a circle"
By applying Pythagoras theorem in the given triangle,
x² = 15² + 20²
x = √625 = 25
10). By applying Pythagoras theorem in the given triangle,
(r + x)² = r² + 15²
(8 + x)² = 8² + 225
8² + x² + 16x = 8² + 225
x² + 16x = 225
x² + 16x - 225 = 0
x² + 25x - 9x - 225 = 0
x(x + 25) - 9(x + 25) = 0
(x + 25)(x - 9) = 0
x = -25, 9
But x > 0
Therefore, x = 9 is the answer.
11). By the property of the tangents drawn to the circle from a point,
"Tangents drawn from a point lying outside the circle are equal in measure"
AC = BC
3x + 4 = 40
3x = 36
x = 12
12). By the same property used in question (11)
DE = DC = 4 units
BA = BC = 3 units
x = 4 + 3 = 7 units
6. What is the solution of the system
of equations?
2x + 3y = 12
-6y = 4x - 24
A. X = 3, y = 2
B. X = 6, y = 0
C. Infinitely many solutions
D. No solution
Answer:
C
Step-by-step explanation:
If you rewrite the questions into linear form (y=mx+b) then you get
For the first one
2x-12= -3y
Divide by -3 and get
-2/3x +4 =y
For the second one
-6y=4x -24
Divide by -6 and get
y= -4/6x +4
Simplify the fraction and you get -2/3x+4 =y
Obviously these two lines are identical meaning that any number will work
7th grade math help me pleaseee :)
Answer:choice 2
Step-by-step explanation:Combine like terms which are 3x +8x equals 11x
then you do 7-2 which equal 5.And then you add 11 x to 5.
Hope it helps .Brainliest please?
Please help me ASAP!
Hal is downloading a file from the internet. So far he has downloaded 25% of the file.
If 10 minutes have passed since he started, how long will it take to download the rest of the file?
Answer:
30 minutes
Step-by-step explanation:
If it takes 10 minutes to download 25%, and there is 75% left to reach 100%.
25% + 25% +25% = 75% there are 3 25% left thus,
10min + 10min + 10min = 30 minutes left to complete download.
The amount of time in minutes it will take to download the rest of the file
is 30 minutes.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Let, 'x' be the number of minutes required to download the complete movie.
Therefore,
25% of 'x' is 10 minutes, This can be numerically expressed as,
(25/100)×x = 10.
0.25x = 10.
x = 10/0.25.
x = 40 minutes.
So, it would take 40 10 = 30 minutes.
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what is the value of 5 in this number 124.519 write your answer as a frasction
Question 15(Multiple Choice Worth 1 points)
(03.03 LC)
PLS HELP
PLS HELP
Given the exponential function f(x) = 16(0.75)*, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
math
pls help dudndjrjdjr
Answer:
it is not possible
Step-by-step explanation:
6+4=10
10+8=18
so it is not possible
What is the value of −4(9 + 6)?
Answer:
-60
Step-by-step explanation:
1. Add 9 and 6
9+6=15
2. Multiply by -4
-4 times 15
-60
One pizza costs 3 times as much as a soda. If the price of one
pizza and a soda is $5, what is the cost of one pizza?
Answer:
2
Step-by-step explanation:
i don't know step by step but I have this same problem and the answer is 2
Find the next 3 terms of each sequence
1. [4, 8, 12, 16 ...}
Answer:
20, 24, 28
Step-by-step explanation:
Hope this helps!
Pls help!!!!! 20 points! and brainliest!!!
Answer:i tried
Step-by-step explanation:
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of n (no aproximations).
Answer:
Where's the shaded region?
I need help
Evaluate using the order of operations.
3/4 +5/6 divided by 2/3
Answer:
2
Step-by-step explanation:
I Think its 2 I'm not sure Correct me if I'm wrong in comments.
For f(x) = x
2 − 5, find f(0).
Answer:
f(0)=0
Step-by-step explanation:
If f(x) is x you don't have to do anything to it.
I'm assuming 2 - 5 is like the problem # or something but just in case... that is -3 lol
A number x increased by 17 is 106
Answer:
x = 89
Step-by-step explanation:
106 - 17 = 89