Answer:
Wind speed = 30 mph
Plane speed = 270 mph
Step-by-step explanation:
Given that :
Distance = 600 miles
Let speed of airplane = a ; speed of wind = b
Net speed ; with wind = a + b
Net speed against wind = a - b
Time taken with wind = 2 hours
Time taken against wind = 2.5 hours
Recall :
Speed = distance / time ; distance = speed * time
(a + b) * 2 = (a - b) * 2.5
2a + 2b = 600
a + b = 300 - - - (1)
a = 300 - b
2.5a - 2.5b = 600
a - b = 240 - - - (2)
300 - b - b = 240
300 - 2b = 240
-2b = - 60
b = 30
a = 300 - 30
a = 270
Wind speed = 30 mph
Plane speed = 270 mph
solver r=1/2m2p for p
Answer:
p= 2r/m^2
Step-by-step explanation:
The blue figure is a translation of the black image. Write a rule to describe the translation.
it has gone up 4 lines and left -2 making it go for a (4,-2)
Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. 8a. Is Charles's reasoning correct? Explain why or why not.
Answer:
Charly has the better buy
Step-by-step explanation:
The unit cost is
=16.8/7
=$2.4
Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75
Unit cost
=12.75/5
=$2.55
Charly got the best deal because the unit cost per item is less than that of the friend
The Davis family is moving, and they estimate that they will need a truck with about 1,250 cubic feet. Which truck do would be best for them to rent?
Lught herzu
[tex] {x}^ {2} - xy + {x}^{2} - xy [/tex]
Answer:
sry I can't understand how to do this question
Rewrite the following equation in slope-intercept form. y - 8 = -8(x + 2)
Step-by-step explanation:
y - 8 = -8(x + 2)
y - 8 = -8x - 16
y = -8x - 8
The slope-intercept form is y = -8x - 8.
Answer:
y = -8x - 8
Step-by-step explanation:
First distribute the -8 into the parentheses
next get the the y by itself
add 8 to both sides and you get
y = -8x - 8
interest 600$ invested at6% compounded annually for 7 years
Answer:
The interest earned is $302.18
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested rather than paying it out. Interest in the next compound period is earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment described in the question is of P=$600 at a rate of r=6%=0.06 for t=7 years compounded annually. The compounding period coincides with the time of interest rate, thus n=1.
Applying the formula:
[tex]{\displaystyle A=600\left(1+{\frac {0.06}{1}}\right)^{1*7}}[/tex]
[tex]{\displaystyle A=600\left(1.06}\right)^{7}}[/tex]
A = $902.18
The interest is:
I = A - P = $902.18 - $600 = $302.18
The interest earned is $302.18
What is the image point of (2, 4) after a translation left 4 units and down 1 unit?
Answer:
the answer is (-2,3)
Step-by-step explanation:
when moving to the left you going across the x axis 4 times and going down once om the u axis
Can someone help mean I know this is easy but it’s not to me lol
Answer:
I. Not a function
II. Not a function
III. Yes, function
IIII. Yep!
(I messed up the numbering in the explanations, sorry 3 is 4 and 4 is 3)
Step-by-step explanation:
Hi!
For a function, every x value must have exactly 1 y value.
f(2) can't equal both 0 and 10. It can only equal 0 or 10. So, because of this, we have a test called the vertical line test. Basically, you drag a line through a graph, and if there is any x value that goes to two (or more) different y-values, then that graph is not the graph of the function.
Let me try to give a practical explanation.
I.
In this graph, everything looks fine until we reach x=6. (I'm assuming the graph goes by ones). Do you see the problem? Yep! x has two different y values.
y= 4 and y= 6.
So, this isn't a function. Why? Because there are two y values for each x value (aka, this doesn't pass the V.L.T)
II.
(1,2), (2,5) , (3,8) , (2,-5) (1,-2)
We have two groups of problem points.
(2,5) and (2,-5) and (1,2) and (1,-2)
Here, each x value goes to a different y value. Therefore, this isn't a function
III. y=x^2
This is your typical parabola. See the graph that I attached.
Notice that -2 and 2 both go to 4. Two different x-values going to the same y-value is fine, but one x can't go to to different y values.
IIII.
(-4,1) , (0,3) , (4,5) , (6,6)
Check 1: Does any x-value go to multiple y values? Nope! So, this is a function.
Find tan A ( write as a decimal rounded to the three decimal places) FIRST ANSWER GETS BRAINIEST
Answer:
[tex]tanA = \frac{28}{21 } = 1.333[/tex]
Write an equation of the line that passes through the given points.
(0,0), (2,6)
Answer:
y=3x
Explanation: Since the line passes through (0,0), the y-intercept is 0. The rate of change is 3, which can be onserved if you you plot these points on a corrdinate graph. Therefore, the equation is y=3x.
what is 4/5divied by 1/3
Answer:
it is 3
Step-by-step explanation:
Answer:2.4
Step-by-step explanation:
i will add you to brainlist if you get the answer right promise
Answer:
B
Step-by-step explanation:
It's timed plzzz help!!!
Answer:
2A/p
the last option
Step-by-step explanation:
gl!!!
A test has 10 questions worth 100 points in total. The test consists of multiple choice questions, which at worth 4 points each, and open-response questions, which are worth 12 points each. How many multiple choice questions are on the test
Given:
A test has 10 questions worth 100 points.
Points of each multiple choice question = 4
Points of each open-response question = 12
To find:
The number of multiple choice questions.
Solution:
Let x be the number of multiple choice questions and y be the open-response questions.
According to the question,
Total question : [tex]x+y=10[/tex] ...(i)
Total points : [tex]4x+12y=100[/tex] ...(ii)
Form (i), we get
[tex]y=10-x[/tex] ...(iii)
Putting this in (ii), we get
[tex]4x+12(10-x)=100[/tex]
[tex]4x+120-12x=100[/tex]
[tex]-8x=100-120[/tex]
[tex]-8x=-20[/tex]
Dividing both sides by -8, we get
[tex]x=\dfrac{-20}{-8}[/tex]
[tex]x=2.5[/tex]
Since x is the number of multiple choice questions, so it cannot be a faction value.
Therefore, the number of multiple choice questions in test are either 2 or 3.
Which statement is true about the numbers marked on this horizontal number line?
A.
0.25 < -0.25
B.
0.25 > -0.25
C.
-0.25 = 0.25
D.
-0.25 > 0.25
Answer:
B.
Step-by-step explanation:
Answer:
The answer to this issssssss surely B
The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
X
F
W
х у
Which of the following statements are true about this construction? Select all that apply.
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X
The first step of the construction is to draw the perpendicular bisector of WY.
The second step of the construction is to draw the perpendicular bisector of FG.
O The second step of the construction is to draw the perpendicular bisector of WY.
Answer:
1st and 4th
Step-by-step explanation:
Find 160% of 90 ??????
Answer:144
Step-by-step explanation:
Answer:
the answer is 144
160/100×90=144
The number of students that earn straight A's decreases by half
each year. Currently there are 20 students who have all A's. Write
an equation to represent this scenario.
Step-by-step explanation:
20 ÷ 2 = S
S represents the students that have straight A's the next year. You would simply divide the current number of students by 2 and it will give you half the student number you had before. And those are the students who still are getting straight A's.
can anyone pls tell me the answer to this pls
Answer:
you're lazy count the squares
Step-by-step explanation:
i think i counted 73. You can count the squares again. Then that is the area cm^2
the perimeter i counted 64
Count the edges of the squares and you'll get perimeter. I counted roughly so count carefully.
Graph the function f(x) = x2 – 2x – 8. Which features are correctly stated?
Answer:
C, B
Step-by-step explanation:
C: When you substitute F(0) = -8
B: You just have to find the x value of the lowest point of the graph
Suzanne bought 50 apples at the orchard. She bought 4 times as many red apples as green apples. How many more red apples than green apples did Suzanne buy?
Step-by-step explanation:
Let x be the number of Green apples bought.
Then 4x is the number of Red apples bought.
We have x + 4x = 50, so x = 10.
Since there are 10 green and 40 red apples, 40 - 10 = 30 more red apples than green apples.
Line AB on Circle A measures 7 cm. What is Circle A's circumference?
Answer:
Step-by-step explanation:
The circumference for a circle is found in the formula
[tex]C=\pi d[/tex]
so if the diamteter is 7, then the circumference is
[tex]7\pi[/tex] or if you are told to round to the nearest hundredth or thousandth, multiply pi in as 3.1415 to get that the circumference is 21.9905 cm
solve the following-
4y + 2+y= 2(2y + 3)
-4
4
-8
8
Answer:
y=4
Step-by-step explanation:
4y+2+y=4y+6
4y-4y+y=6-2
y=4
hope it helps
Answer:
4
Step-by-step explanation:
Help me with This please
Answer:
I believe it is 2787.6
Step-by-step explanation:
Math
Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)
Answer:
...
Step-by-step explanation:
factor completely 25d^8 -80d^4 +64
Answer:
Step-by-step explanation:
(5d^4 - 8)^2
This is a perfect square.
Note an exponent multiplied by an exponent is the addition of them so
d^4 X d^4 = d^8
or
(d^4)(d^4)=d^8
How much cheaper per ounce is purchasing 6 ounces for $6.72 compared to purchasing 3 ounces for
$3.48
Answer:
1.60
Step-by-step explanation:
:)
Is this correct and if not can you please help me?
Answer:
No problems here!
Great Job!
Step-by-step explanation:
It will cost a total of $7,740 for 18 students to go to New York City for Spring Break. The cost for each student is the same. What is the cost for each student?
$430.00
Step-by-step explanation:
[tex]7740 \div 18 = 430[/tex]