Answer:
x = 20
Step-by-step explanation:
(2x+10) = 180 - 130
2x + 10 = 50
2x= 40
x = 20
hope this helps! :)
Some information about a direct variation is given in the table below. If the equation
of this direct variation is y = kx , find the coefficient k and fill in the missing
information.
Answer:
Step-by-step explanation:
y = kx ;
k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]
~~~~~~~~~~~~~
k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]
[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4
[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2
[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1
[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]
[tex]x_{7}[/tex] = 0
( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )
5. What is 75% of 50?
Answer:
37.5
Step-by-step explanation:
multiply 50 by .75
same as
50/4=12.5+25=37.5
While shopping at his local home improvement store, Chen noticed that the directions for an extension ladder state, “This ladder is most stable when used at a 60° angle with the ground.” He wants to buy a ladder to paint a two-story house. How long does his ladder need to be in order to reach the top of the house if the house is 27 feet tall?
The length of the ladder needed to reach the top of the house is 31.2 feet.
Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.
Let d represent the length of the ladder. Using trigonometric ratio:
[tex]sin(60)=\frac{27}{d} \\\\d=\frac{27}{sin(60)} =31.2\ feet[/tex]
The length of the ladder needed to reach the top of the house is 31.2 feet.
Find out more at: https://brainly.com/question/4326804
What is the Square root of -18
Answer:
3i square root 2
Step-by-step explanation:
A. -5
B.-1/5
C.1/5
D.5
Answer:
b
Step-by-step explanation:
Find the gradient of the line segment between the points (10,-4) and (6,-16).
Solve the literal equation for Y:
4=5x+6y
Answer:
y=2/3-5x/6
Step-by-step explanation:
Welcome to Gboard clipboard, any text you copy will be saved here.
Answer:
yooo i got the new rank im now expert :0
Step-by-step explanation:
XD
Trey will be splitting 2 3/4 pies with himself and 5 friends. how much pie will each person get?
Answer: 11/24
Step-by-step explanation:I turned 2 and 3/4 into an improper fraction which got me 11/4.
There are 5 friends and him so that's 6 people.
So we can't do 11/4 divided by 6 so we must put 6 over 1.
So 11/4 divided by 6/1
Then we do "Keep Change Flip"
We keep 11/4
We change the division sign to multiplication
Then we flip 6/1 to 1/6
Then the problem is re wrote as:
11/4 times 1/6
And that equals 11/24 as your answer
So each person gets 11/24 of the pies.
Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000.and the rest are dated after 2000
How many pennies in Maggie's collection are dated after 2000?
A 480 B 720 C 40 D 60
Answer:
A- 480
Step-by-step explanation:
First, I'm going to work out 25% of 1200 for the before 1980 pennies.
10% = 120
20% = 240
5% = 60
240 + 60 = 300 pennies before 1980.
Next, work out 35% of 1200 instead.
20% = 240
+ 10%
30% = 360
+ 5% = 60
35% = 420 pennies from 1980-2000
Finally, work out how many pennies are leftover.
300 + 420 = 720
1200 - 720 = 480
A is the answer.
Hope this helps and have a good day!
A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.
a. What is the distance of the entire trip?
miles
b. How long does the entire trip take?
hours
minutes and
seconds
Answer:
The correct answers are:
A) 60 miles; and B) 3.375 hours.
Explanation:
We will use the equation d = rt for this.
For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation
d = 20x
For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:
d-6 = 16x
To isolate d, we will add 6 to each side:
d-6+6 = 16x+6
d = 16x+6
We will set the two equations equal to one another, since they both equal d:
20x = 16x+6
Subtract 16x from each side:
20x-16x = 16x+6-16x
4x = 6
Divide both sides by 4:
4x/4 = 6/4
x = 1.5
He travels for 1.5 hours both times.
The first time, 1.5 hours at 20 miles per hour is:
d = 1.5(20) = 30 miles
The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.
On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:
24 = 16x
Divide both sides by 16:
24/16 = 16x/16
1.5 = x
If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:
24/1.5 = 30/x
Cross multiplying,
24*x = 1.5(30)
24x = 45
24x/24 = 45/24
x = 1.875
This gives him a total time of 1.5+1.875 = 3.375 hours
Step-by-step explanation:
The school band sold T-shirts for a fundraiser. They earned $6 profit on each T-shirt minus $4 for flyers. Give verbal description relating the number of T-shirts and the profit. Find the profit for selling 30 T-shirts
The school band could have a profit of $ 60 for selling 30 T-Shirts.
For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.
Hence, the profit for selling 30 T-shirts is shown below:
[tex]C = (\$\,2)\cdot (30)[/tex]
[tex]C = \$\,60[/tex]
The school band could have a profit of $ 60 for selling 30 T-Shirts.
To learn more on net profit issues, we kindly invite to check this verified question: https://brainly.com/question/13749820
2/7x9 in simplest form
Answer:
2/63
Step-by-step explanation:
I'm going to assume that the x is a multiplication symbol.
7 x 9 = 63
Therefore, the simplest form would be 2/63
Jamie joined the marching band. To pay for a uniform, he borrowed $120 for 3 months with 6% interest per month. What was the total cost of Jamie’s uniform?
Answer:
$142.92
Step-by-step explanation:
120 * 1.06^3 = 142.92192
Anybody know the answer !!
Answer:
17.08
Step-by-step explanation:
When it reaches its maximum, suppose that y = 0
Therefore you will need to factorise and solve
-16x^2 + 267 x + 107 = 0
Here you can use the quadratic equation[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]
Where you will get x = -0.39 seconds or 17.08 seconds (rounded to 2 decimal places according to the question
Because -0.39 is negative, this answer can be deleted
Leacing x = 17.08 seconds
Kyle is setting out Japanese food for a party he is having. He has 9 avocado rolls and 18 cucumber rolls. If he wants each plate to be identical, with no rolls left over, what is the greatest number of platters Kyle can create? GCF and LCM: word problems no links pls
Answer:
9 plates
Step-by-step explanation:
The number of plates Kyle can make is the GCF of 9 and 18. Since 9 is a factor of 18, that GCF is 9.
Kyle can make 9 plates, each containing 1 avocado roll and 2 cucumber rolls.
Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15
Answer:
c
Step-by-step explanation:
_6x -9y =15
_6x÷3=-2x
9y÷3=3y
15÷3=5
so,_2x -3y =5
Luis has $4.00 from his allowance. He visits an arcade where soda costs $0.75 and video games cost $0.25. Which of the following expressions represents the amount of money Luis will have left if he buys one soda and plays "g" video games? *
5 points
4.00 - 0.25 - 0.75g
4.00 + 0.75 + 0.25g
4.00 - 0.75 - 0.25g
4.00 - 0.25 + 0.75g
Answer: c
Step-by-step explanation:
Simplify the expression.
4+ 5(3x - 2) - 3x
O A. -187-6
ООО
O B. -18x-14
-
C. 12x - 6
O D. 12x+ 2 2
I need friends answer this and we will be besties
Answer:
12x - 6
Step-by-step explanation:
4 + 15x - 10 -3x
(15x - 3x) + (4-10)
12x - 6
solving system by elimination
show your work
-3x - 5y = -7
-4x + 5y = 14
Answer:x=-1, y=2
Step-by-step explanation:
Summing these equations, we will obtain,
-7x =7
Therefore, x=-1
If we put x in the first equation,
(-3*-1)-5y=-7
3-5y=-7
-5y=-10
y=2
Answer:
x=-1, y=1
Step-by-step explanation:
-3x-5y=-7
-4x+5y=14
-7x=7
x=-1
-3x-5y=-7
-3(-1)-5y=-7
3-5y=-7
-5y=-10
y=2
a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.
Answer:
Warrior WiFi is better because it costs 167.50 for 175 texts.
Step-by-step explanation:
2x175 = 350 + 20 = 370
0.50x175 = 87.5 + 80 = 167.5
A potter makes cups and saucers in a factory. He is paid $1.44 per
batch of cups and $1.20
per
batch of saucers. What is his gross pay if
he makes 9 batches of cups and 11 batches of saucers in one day?
Answer:
4
Step-by-step explanation:
find the volume of this figure:
Answer:
= 5l. 66 in^3
Step-by-step explanation:
Area of cross section (A) = 1/2×b×h
=1/2 ×3.5×4.1
=7.175
Volume =AXH
= 7.175× 7.2
= 5l. 66 in^3
Which of the following tables represents a function?
X 6 6 7 7
y 2 -2 3-3
x 2-2 3-3
y 5 5 7 7
x 3 -3 3-3
y 6 7 8 9
X 4 4 5 5
y 1 2 3 4
Answer:
The second one:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain value or x can only have one range, y, so, with that said, the second one is the answer.
which multipilcation expression is equal to 2 over 5 divided by 2 over 3
Answer:
2/5 × 3/2
Step-by-step explanation:
solve for x
-4x < 16
ill give brainliest if correct
Answer:
x>-4
Step-by-step explanation:
Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.
The following is a conversion table for hours and minutes. Which numbers belong in the hours column?
1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6
Answer:
2,3,4
Step-by-step explanation:
Question 1
Part a) 9 Athletes are running the 200M event. How many ways can the first three finishers be awarded medals? Show your work using the Permutation or Combination formula for full credit.
Part b) You have 10 photos to arrange in an art gallery, where there are 5 spaces to place them. How many ways can they be arranged? Show your work using the Permutation or Combination formula for full credit.
Part c) Write an original word problem of your own creation that uses a combination and the numbers 8 and 4. Also state the solution. You may not use a pizza-themed scenario.
Using the permutation and the combination formula, we have that:
a) The first three finishers can be awarded medals in 504 ways.
b) They can be arranged in 252 ways.
c) In how many ways can 4 students form a team from a set of 8.
If the order is important, the permutation formula is used.If the order is not important, the combination formula is used.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Item a:
Order is important, as the finishers are ranked, hence:
[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]
The first three finishers can be awarded medals in 504 ways.
Item b:
The order is not important, hence:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
They can be arranged in 252 ways.
Item c:
Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.
For more on permutation/combination, you can take a look at https://brainly.com/question/25247153
Find the area, in square inches, of a square with a side length 1/4 in.
Answer:1/16 squared
Step-by-step explanation:
1/4*1/4
4*4=16
1/16
radius=12 round up to the nearest tenth
Answer:
12.0
Step-by-step explanation:
Answer:
452.4
Step-by-step explanation: