Answer:
[tex]x=4.375[/tex]
Step-by-step explanation
From the question we are told
Plane A starts at altitude 790
Plane B starts at altitude 1142
Plane A losing altitude at 14 meters per second
Plane B is losing altitude at 22 meters per second
Generally the altitude of both plane is given by
Plane A= [tex]790-14x[/tex]
Plane B=[tex]1142-22x[/tex]
Therefore when they exist in the same altitude
[tex]790-14x[/tex] =[tex]1142-22x[/tex]
[tex]-350=-8x[/tex]
[tex]\frac{-350}{-8} =x[/tex]
Therefore
[tex]x=4.375[/tex]
This is GCF so ..
-3x^4+12x^3-21x^2
Answer:
The greatest common factor in that expression is 3x², giving you the expression:
3x²(-x² + 4x -7)
Step-by-step explanation:
All three terms are divisible by three:
3(-x⁴ + 4x³ - 7x²)
Each term is also divisible by x²:
3x²(-x² + 4x -7)
So the greatest common factor is 3x²
7. Alex makes $30,000 a year at his job
and gets $2,500 a year raise every year.
Sydney makes $40,000 a year and gets a
$2,000 raise every year. How many years
will it take for them to make the same
salary?
Answer:
It will take them 20 years to make the same salary
Step-by-step explanation:
Let us solve the question
Assume that they will have the same salary after x years
∵ Alex makes $30,000 a year at his job
∵ He gets a $2,500 a year raise every year
∵ He will work x years
→ That means his salary is the sum of a fixed amount and the raise times x
∴ His salary = 30000 + 2500(x) ⇒ (1)
∵ Sydney makes $40,000 a year
∵ He gets a $2,000 raise every year
∵ He will work x years
→ That means his salary is the sum of a fixed amount and the raise times x
∴ His salary = 40000 + 2000(x) ⇒ (2)
∵ They will make the same salary after x years
→ Equate (1) and (2)
∴ 30000 + 2500x = 40000 + 2000 x
→ Subtract 30000 from both sides
∴ 2500x = 2000x + 10000
→ Subtract 2000x from both sides
∴ 500x = 10000
→ Divide both sides by 500
∴ x = 20
∴ It will take them 20 years to make the same salary
What is the value of the expression below when
x = 3?
7x -4
Answer:
17
Step-by-step explanation:
7(3) - 4
21 - 4
17
Answer:
i dont know
Step-by-step explanation:
i dont know
Select the correct statement about the function represented by the table.
Plz help!
Answer:
I believe that it is B
Р
R
(x+40)
(3x-20)
T
(3x-20)
S
y=3x-20 thats ur answer good luck
Elena's distances and times for a training run are given by the equation , where represents distance in miles and represents time in minutes. Who ran faster during the training run?
Answer:
Elena's run for 1.17 miles in ten minutes
Step-by-step explanation:
From the question
y = 8.5 x ; where x is Distance in miles, and y is time in minutes
and y= 10 minutes
thus on substituting the respected values we get
10 = 8.5 x
⇒ x = [tex]\frac{10}{8.5}[/tex] = 1.17 miles
Therefore Elena's run for 1.17 miles in ten minutes
Your answer
O
This is a required question
Maria spent 1/3 of the money her grandparents gave her on an adventure
book. She also spent 1/9 of the money on a bag of candy.
What fraction of the payment has Maria spent?
Answer:
4/9
Step-by-step explanation:
if you make 1/3 x 3 to put it at /9, it will give you 3/9, now, 3/9+1/9=4/9 sorry for bad english
write as single power of 7?
(7^2)^-2
Answer:
[tex]7^{-4}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](7^2)^{-2}[/tex]
= [tex]7^{2(-2))}[/tex]
= [tex]7^{-4}[/tex]
EASY POINTS!?!?!?!?!?!
Write an equation with a variable for the situation below: Mike's high school played 17 hockey games this year. The team won most of their games. They were defeated during 4 games. How many games did they win?
A survey was conducted of 880 college students attending the same university. They were offered a list of 10 different internet service providers and were asked to select the one they prefer. Can a service provider receiving only 89 votes come out on top?
Answer: Yes
Step-by-step explanation:
From the question, we are informed that a survey was conducted of 880 college students attending the same university and that they were offered a list of 10 different internet service providers and were asked to select the one they prefer.
Basee on this information, if everyone selected equal numbers, each service provider will get (880 / 10 = 88 students). In this case, if someone has 89 votes, this means that another person will get 87 votes while the remaining 8 service providers gets 88 students each. Therefore, the device provider with 89 votes can come out on top.
2.(03.07)
Solve 2x^2 - 8x = -7. (2 points)
Answer:
Step-by-step explanation:
Make a quadratic:
2[tex]x^{2}[/tex]-8x+7=0
Then use quadratic formula to solve.
It would be x= 2 ± [tex]\frac{2}{\sqrt{2} }[/tex]
The two scalene triangles seen below are similar figures. What is the scale factor from the small scalene triangle on the left to
the large scalene triangle on the right? The scalene triangles are not drawn to scale.
Step-by-step explanation:
Scale factor
= Side length of big triangle / Side length of small triangle
= 12/5 = 24/10 = 33.6/14 = 2.4.
Answer: 2.4
Step-by-step explanation:
10 × 2.4 = 24
5 × 2.4 = 12
14 × 2.4 = 33.6
In the diagram below, AB|| DEF , AE and BD intersect at C, m angle B = 43 degrees, and m angle CED equals 152 degrees. Please show work correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
71
Step-by-step explanation:
Answer:
3)
Step-by-step explanation:
152 - 90 = 62
180-152 = 28 which <CED and <BAC = 28.
180-28-43 = 109
<ACD = 71 because if <ACB = 109. then think of DCB as a 180 degree. 180-109. then it is 71.
hope this help
I NEEDS THE HELP PLEASE
Answer:
x+6<10
5x<20
x-2<2
hope this helps!!:)
Step-by-step explanation:
Answer:
Step-by-step explanation:
can somebody help me ?
Answer:
$3.07
Step-by-step explanation:
36.84/12=3.07
ndixbslwofbnslaoqhfb
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer: Infinite solutions
Step-by-step explanation:
This is because they're the same and will have the same points till the line ends.
It's when the equations intersect at a point that they have one solution.
When the lines a parallel, they have no solutions.
Hope this helped!
In ABC, AC is extended through point C to point D,
m< BCD = (9x - 1), m
m
Answer:
cx
Step-by-step explanation:
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Answer:
is not b
Step-by-step explanation:
i got an 80% on my test and i got this answer wrong and i chose b and it was wrong and it doesn't show me the correct answer plz give me at least 3 star rating im not wrong my answer is right just not specific.
Answer:
Answer is A
5x = −10
11x − 9y = −13
Step-by-step explanation:
Got it right on Edge
A pair of boots are $94.99. They are 25% off. With this discount, what is the sale price?
5 points
Answer:
94.99 - 23.7475 = 71.24 dollars.
Step-by-step explanation:
The table shows the amount of money Tyler earns for mowing lawns. Is the
relationship a proportional relationship? Complete the explanation.
Answer:
The constant of variation 'k' is NOT constant.
Therefore, we conclude that Taylor did not charge a constant rate. The rates are not equal because his rate changed.
Step-by-step explanation:
Given the table
Number of Lawns 1 2 3 4
Amount Earned ($) 16 32 54 72
We know that when y varies directly with x, we get the equation
y ∝ x
y = kx
k = y/x
where 'k' is called the constant of proportionality.
In our case, the 'Amount earned ($) ' is represented by 'y', and the 'Number of Lawns' is represented by 'x'.
Let us check the constant of proportionality using the equation
k = y/x
k = 16/1 = 16
k = 32/2 = 16
k = 54/3 = 18
k = 72/4 = 18
It is clear that that the constant of variation 'k' is NOT constant.
Therefore, we conclude that Taylor did not charge a constant rate. The rates are not equal because his rate changed.
Dylan's mother gets a restaurant bill for $25. She has a coupon for 15% off. After the discount is applied, she adds 20% tip for the server. What is the total that Dylan's mom will pay at the restaurant?
Given:
Amount of bill = $25
Coupon = 15% off
Tip = 20% after discount is applied.
To find:
The total that Dylan's mom will pay at the restaurant.
Solution:
We have,
Amount of bill = $25
Discount = 15%
Amount after discount = 25 - 15% of 25
[tex]=25-\dfrac{15}{100}\times 25[/tex]
[tex]=25-3.75[/tex]
[tex]=21.25[/tex]
So, amount after discount is $21.25.
Tip = 20%
Total Amount = Amount after discount + Tip
[tex]\text{Total Amount}=21.25+\dfrac{20}{100}\times 21.25[/tex]
[tex]\text{Total Amount}=21.25+4.25[/tex]
[tex]\text{Total Amount}=25.5[/tex]
Therefore, Dylan's mom will pay total $25.5 at the restaurant.
ABE is the image of ACD after a dilation centered at the origin. Which ratio is equal to the scale factor of k of the dilation
1.2/3
2.3/2
3.3/4
4.4/3
Answer:
3
Step-by-step explanation:
The sum of three consecutive odd integers is 765. What are the three
integers?
Answer: 254, 255, 256
Step-by-step explanation:
Divide the total by 3 to get the integer in the middle. 255.
Subtract 1 to get the first integer, 254.
Add 255 + 1 to get the third integer, 256.
Malala is following this recipe for bread rolls.
She uses 200 ml of water.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
550 g flour
12 g salt
10 g yeast
30 ml oil
500 ml water
PLEASE HELPPP
Which of the following is NOT a proportion? *
3/9 = 12/36
5.2 / 4 = 3.9 / 3
8 / 16 = 16 / 24
12 / 2 = 7.2 / 1.2
Answer:
8/16=16/24
Step-by-step explanation:
Cyanobacteria, also known as blue-green algae, are a kind of bacteria found in many lakes. These organisms make their own food through photosynthesis. Small animals, including mayfly larvae, eat the cyanobacteria. Small fish, such as yellow perch, eat the mayfiy larvae. The small fish provide food for larger fish, such as walleye. Choose the level of the food pyramid that represents the energy role of cyanobacteria in the lake ecosystem.
Level 1
Level 2
Level 3
Level 4
Apples cost $0.95 per pound and bananas cost $1.10 per pound.
Leah bought a total of 8 pounds of apples and bananas for $8.05.
a+b=8
The system of equations
models this
0.95a + 1.10b = 8.05
situation, where a is the number of pounds of apples and b is
the number of pounds of bananas. How many pounds of each did
Leah buy?
1
Answer:
I think the answer would be 3.92682926829
Step-by-step explanation:
Honestly i dont think i did this right at all. But i hope i did.
Here is what i did:
0.95 + 1.10 = 2.05
8.05 divided by 2.05 = 3.92682926829
Im so sorry if you get this wrong. I honestly am having an off day. Good luck :(
Cornell is going to purchase a flat-screen TV for $367. The store charges 8% sales tax. What will the total price be for Cornell's purchase?
The answer options are in the photo.
(I accidentally clicked the A so that is why it’s like that)
Is it a 3 or 4 choice question?
Can someone substitute this? Please and thank you
Step-by-step explanation:
soln
given
y=2x+3 -----(i)
y=-x-9 ------(ii)
now, putting value of equation (i) in (ii)
y= -x-9
or, 2x+3 = -x-9
or, 2x+x = 9-3
or, 3x = 6
or, x = 6/3
or, x = 2
again,
y = 2x+3
or, y = 2×2+3
or, y = 7
therefore, value of X and Y are 2 and 7 respectively.
(7x + 34)
(10x - 23)