Answer:
Step-by-step explanation:
Since we are not told what to find, we can as well find the time taken by the rocket to reach its maximum height as shown
The rocket reaches its maximum height when the velocity is zero
v = dh/dt
v = -32t+64
Since v = 0 at maximum height
0 = -32t+64
32t = 64
t = 64/32
t = 2secs
Hence the rocket reaches the maximum height after 2secs
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . The solution to the inequality is . Sal's mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.
Question:
Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage.
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is .
The solution to the inequality is .
Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.
Answer:
a. [tex]150 + 51x < 100 + 55x[/tex]
b. [tex]x > 12.5[/tex]
c. At least 13 months
Step-by-step explanation:
Given
First Phone;
[tex]Cost = \$100[/tex]
[tex]Additional = \$55[/tex] (monthly)
Second Phone;
[tex]Cost = \$150[/tex]
[tex]Additional = \$51[/tex] (monthly)
Solving (a): The inequality
Represent the number of months with x
The first phone is expressed as:
[tex]100 + 55x[/tex]
The second phone is expressed as:
[tex]150 + 51x[/tex]
For the second to be less expensive that the first, the inequality is:
[tex]150 + 51x < 100 + 55x[/tex]
Solving (b): Inequality Solution
[tex]150 + 51x < 100 + 55x[/tex]
Collect Like Terms
[tex]51x-55x<100 - 150[/tex]
[tex]-4x<-50[/tex]
Solve for x
[tex]x > -50/-4[/tex]
[tex]x > 12.5[/tex]
Solving (c): Interpret the solution in (b)
[tex]x > 12.5[/tex] implies 13, 14, 15....
Hence, She'll keep the second phone for a period of at least 13 months
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
O x = -3
OX=-1
O x = 0
O x = 3
Answer:
I think Its x=0
just did it on edg lol hope
The value of x in the expression is,
⇒ x = 0
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 2 (x - 3) + 9 = 3 (x + 1) + x
Now, We can simplify the expression as;
⇒ 2 (x - 3) + 9 = 3 (x + 1) + x
⇒ 2x - 6 + 9 = 3x + 3 + x
⇒ 2x + 3 = 4x + 3
⇒ 4x - 2x = 3 - 3
⇒ 2x = 0
⇒ x = 0
Thus, The value of x in the expression is,
⇒ x = 0
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
The Marine Discovery Aquarium sells ocean-themed cookies in their gift shop. Last month, they sold 65 shark cookies and 85 clown fish cookies. The cookies were so popular that they want to order more cookies this month. They plan to order 170 clown fish cookies this month. If they keep the same ratio, how many shark cookies should they order this month?
Answer: 130 shark cookies.
Step-by-step explanation: If you divided 170 clown fidh cookies by 85 clown fish cookies you get 2. So same as 85 times 2. Then do the same with the shark cookies. 65 times 2, that equals 130.
can someone help plzzz asappp :///
Answer:
I believe answer choice A
Step-by-step explanation:
Answer:
I thin that the answer is A
Step-by-step explanation:
does 9, 13, 16 make a right triangle
Answer:
no it makes an acute angle
Step-by-step explanation:
9+13+16=38
to be a right triangle they need to equal 90
Divide
x= 8.1/-0.30
This needs to be divided
What is the discriminant of the quadratic equation
7x^2-4x+5=0
Answer:
[tex]\Delta=-124[/tex]
Step-by-step explanation:
The discriminant for a quadratic in standard form is given by the formula:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]7x^2-4x+5=0[/tex]
Hence, a=7; b=-4; and c=5.
Therefore, our discriminant will be:
[tex]\Delta=(-4)^2-4(7)(5)[/tex]
Evaluate. Hence, our discriminant is:
[tex]\Delta=16-140=-124[/tex]
Notes:
Since our discriminant is negative, this tells us that the quadratic has no real roots.
Answer:
-124
Step-by-step explanation:
The discriminant is given by
b^2 -4ac where ax^2 + bx+c =0
7x^2-4x+5=0 so a = 7 b = -4 and c = 5
( -4) ^2 - 4(7) ( 5)
16 - 140
-124
what do I need to know to ace my test on basic constructions for geometry
Answer:
Its important to ask your teacher this alot of tests are different. But just study the general idea of what you've learned so far.
step-by-step explanation:
Answer:
perdón por no ayudar
Step-by-step explanation:
mucho texto
What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}
Answer:
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
Step-by-step explanation:
The domain is the set of the x-coordinates.
The range is the set of the y-coordinates.
If any value appears more than once as an x-coordinate, it is not a function.
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
pleaseee help meee!!!!!!! :)
Answer:
the answer to your question is (1,-2)
Answer: y=2x-1
This is the answer
Step-by-step explanation:
I fix the answer
Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 47 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?
Complete question :
Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 4/7 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?
Answer:
1.4 miles
Step-by-step explanation:
Given that :
Ned's home and park are on the same straight road :
Store where Ned stopped is 4/7 of the way to the park
Bikes the remaining 0.6 miles to the park
Hence after traveling 4/7 of the distance, distance to park is 0.6 miles
Hence, 1 - 4/7 = 3/7
Hence, 3/7 of the way = 0.6 miles
If 3/7 = 0.6 miles
Then, 1 = x
Cross multiply
3/7 x = 0.6
3x = 4.2
x = 4.2 / 3
x = 1.4 miles
The distance from Ned's home to park is 1.4 miles
The distance between Ned's home and the park is 1.4 miles.
Ned is riding his bike from his house to the park, both of which are on the same straight road.
At some point between the way to the park, he covered [tex]\dfrac{4}{7}[/tex] of total distance and the destiny is still remained by 0.6 mile.
The fraction of the distance yet to be covered is,
[tex]\begin{aligned}\rm{Remaining\;distance}&=1-\dfrac{4}{7}\\&=\dfrac{7-4}{7}\\&=\dfrac{3}{7} \end{aligned}[/tex]
Now, the remaining distance is given that is 0.6 mile.
Therefore,
[tex]\begin{aligned}\dfrac{3}{7} \times \rm{Total \;distance}&=0.6\\\rm{Total \;distance}&=1.4\;\rm{miles} \end{aligned}[/tex]
Thus, the distance between Ned's home and the park is 1.4 miles.
To know more about it, please refer to the link:
https://brainly.com/question/24379068
HELP I GIVE BRAINLIEST
Solve for x: 3x − 24 = 81
fifty-seven over three
one hundred five over three
57
105
3x-24=81
3x=81+24
3x=105
divide both sides by 3
therefore, the answer is 35
Answer:
B
Step-by-step explanation:
if you divide 105 by 3 it is equivalent to 35
I NEED HELP ASAP, I'LL GIVE BAINLIEST
Find the value of each expression. SHOW YOUR WORK.
(3.4)2
33 + 10 – 2 • 6
102 ÷ 22
Answer:
Step-by-step explanation:
3.4 times 2 is 6.8
pemdas for the second one. 2 times 6 is 12. 33+10-12, 31
102/22
4.3636
Answer:
1: 6.8
Work: 3.4 divided by 2 equals 6.8
2: 246
Work: 33 plus 10 minus 2 times 6 equals 246
3: 4
Work: 102 divided by 22 equals 4
Step-by-step explanation: I hope this helps! :)
Which is the factorization of 8x2 + 13x – 6
Answer:
(8x−3)(x+2)
Step-by-step explanation:
Factor 8x2+13x−6
8x2+13x−6
=(8x−3)(x+2)
Answer:
13x + 10
Step-by-step explanation:
A recipe for cupcakes calls for 4 5/7 cups of flour. Dan accidentally put 5 5/6 cups. How many extra cups did he put in?
1 and 5/42
Step-by-step explanation:
[tex]5 \frac{5}{6} - 4 \frac{5}{7} [/tex]the demonomatior would be 42 as it is the lowest common multiple 6 and 7 sharewhat is the least common denominator of2/3and 5/8
Answer:
16
Step-by-step explanation:
3 and 8 can both go into 16
Write an equation of a line that is (a) parallel to the given line and (b)
perpendicular to the given line.
can you answer 7 too ?
Answer:
for question 7 : I think it is no
Step-by-step explanation:
if you plot the points on a quick rough sketch you will find that none of the coordinates are on the same line (which they would have to be for a straight line). No points in those 3 coordinates are the same so the there cannot be two points on the same x or y coordiante therefore there is no right-angles triangle.
If you plot the points roughly there will not be two perpendicular lines so there is no right-angles triangle.
sorry I realise this is confusing :(
Also for Question 5:
Parallel should be anything y= for example, y=6
Perpendicular should be anything x= for example x=6 as y=7 is a horizontal line and x=6 is a vertical line. Y=6 would be parallel because y=(any number with no gradient e.g. 1,2,3,4,etc.) is horizontal.
In 2017, the price of gas in a certain state changed from $2.24 to $2.56. Calculate the percent of change increase in the price of gas in 2017.
Group of answer choices
14.3%
32%
12.5%
80%
Answer:
12.5%
Step-by-step explanation:
2.56-2.24 =0.32
By using the rule of three we can find the answer.
we have that 2.56 = 100% so we have to find what percentage 0.32 represents
(0.32*100)/2.56 = 12.5
Answer:
12.5%
Step-by-step explanation:
Instructions: Find the missing angle in the image below. Do not include spaces in your answers. If you are using a screen-reader, please consult your instructor for assistance. m∠DCF= ∘
Solve equations with variables on both sides 6 - x = 5x + 30
The solution to the equation 6 - x = 5x + 30 is x = -4.
We have,
To solve the equation 6 - x = 5x + 30, we can start by bringing all the variables to one side and the constants to the other side of the equation. Here's the step-by-step solution:
Start with the equation: 6 - x = 5x + 30.
To eliminate the variable terms on the right side, subtract 5x from both sides of the equation:
(6 - x) - 5x = 5x + 30 - 5x.
Simplifying the left side gives: 6 - x - 5x = 30.
Combining like terms on the left side yields: 6 - 6x = 30.
Now, isolate the term with the variable.
Move the constant term (6) to the right side by subtracting it from both sides of the equation:
6 - 6x - 6 = 30 - 6.
Simplifying both sides gives: -6x = 24.
To solve for x, divide both sides of the equation by -6:
(-6x) / -6 = 24 / -6.
Simplifying gives: x = -4.
Therefore,
The solution to the equation 6 - x = 5x + 30 is x = -4.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
61°
Step-by-step explanation:
It is the same value because m//n.
Chris and Sean live on Main Street. Chris lives7 blocks east of Center Avenue, and Sean
lives 10 blocks west of Center Avenue. How far apart do Chris and Sean live from each
other?
Answer:
17 blocks
Step-by-step explanation:
17 blocks because if you draw it on a number line they are opposite sides of the number line so you would do 7+10 which is 17.
The output of a function is 8 less than 23 times the input. Find the input when the output is -23.
Answer:
Step-by-step explanation:
-23=-3X-8
find the value of x. A.12 B.30 C.9 D. 21.75
Answer:
i need help my self keep trying
Step-by-step explanation:
At a flower show, one trolley arrives every 4 minutes to take people to the rose pavilion. Another trolley arrives every 10 minutes to take people to the exotic flower green house. Both trolley's. Just arrived at the main building. How many minutes from now will be the next time the trollies arrive at the main building
Answer:
20 minutes
Step-by-step explanation:
Given
[tex]Pavilion: 4\ minutes[/tex]
[tex]Green\ House: 10\ minutes[/tex]
Required
Determine the time they both arrive together
To do this, we simply determine the common multiple of both numbers:
Start by listing the multiples of 4;
[tex]4: 4,8,12,16,20,24,28......[/tex]
Next, list the multiples of 10
[tex]10: 10, 20, 30,40, 50......[/tex]
Their common multiple is: 20
Hence, they'll both arrive at 20 minutes
20 minutes Answer:
Step-by-step explanation:
Edgy
is 0.59 a repeating decimal
Answer:
No
Step-by-step explanation:
Item 7
Use the Distributive Property to simplify the expression.
9(3+c+4) =
ty
Can u answer this. This ain’t 20 characters long, why.
Answer:
Step-by-step explanation:
slope is 3/4.
I'm pretty sure, cuz it's rise/run
Which ordered pair is the solution to the system of equations? {−3x+4y=−20y=x−4 (−4, −8) (4, 8) (−2, −6) (0, −5)
Answer:
Step-by-step explanation:
-3x + 4y = -20
y = x - 4
Put the second equation into the first equation in place of y.
-3x + 4 (x - 4) = -20
Multiply everything in the parenthesis by 4.
-3x + 4x - 16 = -20
Combine like terms.
x - 16 = -20
Add 16 to both sides.
x = -4
Put this into the second equation in place of x.
y = -4 - 4
y = -8
Your solution set is (-4,-8).
Hope this helps!
Answer:
(-4,8)
Step-by-step explanation:
13/14% of a quantity is equal to what fraction of the quantity?