Lets set up the equation:
p + w = 327 -- equation 1
p - w = 289 -- equation 2
equation 1 + equation 2
2p = 616
p = 308
Thus the plane flies at 308 mph without the wind.
Hope that helps!
What is a secure line of credit? a. A line of credit offered only to individuals with excellent credit ratings. B. A line of credit offered to a business or corporation. C. A line of credit backed by the government. D. A line of credit backed by collateral. Please select the best answer from the choices provided A B C D.
Answer:
d. A line of credit backed by collateral.
Step-by-step explanation:
i just took the test
How do I work out reverse mean
Answer:
reverse mean going back side.
Which expression is equivalent to −28x2 + 35x?
Answer:
-7x(4x - 5)
Step-by-step explanation:
−28x^2 + 35x
-7x(4x - 5)
Hope this helps!
Which of the following is a solution to the inequality below?
–10c > 50
Answer: c < -5
Divide by negative 10 on both sides and get negative 5
What is the value of the expression below?
(-8) ^ 5/3
A. 40/3
B. - 40/3
C. -32
D. 32
Answer:
C. -32
Step-by-step explanation:
Using the rule of exponents for a power of a power, we can simplify the expression like this:
(-8)^(5/3) = ((-8)^(1/3))^5 = (-2)^5 = -32
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A suitable calculator can evaluate this for you.
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Additional comment
Some calculators use logarithms to compute powers. The logarithm of a negative number is undefined, so direct computation of this expression would give an error on such a device. You would have to recognize that the root and power are odd, so the result will be negative. Then you could calculate -(8^(5/3)) without error.
The rule of exponents used here is ...
(a^b)^c) = a^(bc)
Use the slopes to describe each line as slanting downward, slanting upward, horizontal, or vertical. explain your answer.
(1,3) and (1, -10)
Step-by-step explanation:
The slope of 3 and -10.
If the slope is above 0, the line is increasing.
If the slope is at 0, it's a horizontal line or straight. Vertical If the run is 0.
If the slope is below 0, the line is decreasing.
3 is slanting upward, the slope is greater than 0 therefore the line is increasing.
-10 is slanting downward, the slope is less than 0 therefore the line is decreasing.
you deposit 250 into an account at the end of 6 months your balance is 255 what is the simple annual interest rate
Answer:
I'm not completely sure but I think that it is 2.5%
Step-by-step explanation:
255-250=5, 5=5%, 5% in 6 months = 2.5% in 12 months. BOOM, TOO EASY!
write down Mrs chauke's balance on the 25march in words
Given:
f(g)=(-10*g^2+17*g-6) / (-15*g^2-2*g+24)
Factor both numerator and denominator:
f(g)=-(2g-1)(5g-6)/(-(3g+4)(5g-6))
if 5g-6≠0, we can cancel out the factor (5g-6).
We can also cancel the negative signs to simplify to
f(g)=(2g-1)/(3g+4) on condition that g≠6/5
Mrs. Chauke balance at 25th of march is ninety six thousand, one hundred and twenty.
Data;
Monthly income = 32040Balance on March 25Assuming that Mrs. Chauke has received monthly income and didn't touch it till march 25th, we can easily calculate what her balance would be by knowing how many months interval are there from January to March which is 3 and then we multiply her monthly income by 3 to know her balance at that day.
This is calculated as
[tex]32040 * 3 = 96120[/tex]
Mrs. Chauke balance at 25th of march is ninety six thousand, one hundred and twenty.
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Which fraction does the colored portion of the picture represent?
Answer: 19/24
Step-by-step explanation: There are 19 colored squares out of 24 squares total.
Hi there please help me
On question two I’m not understanding why they put the brackets in when there was no brackets in the equation they gave me to solve
Answer/Step-by-step explanation:
When you have one or more parentheses inside a parentheses you change it to bracket so it is easier to tell which parentheses belongs to which.
Instead of ((-2+5)x4), it would be [(-2+5)x4]
It does not affect the answer
explain the importance of factoring and substitution while solving trigonometric equations
Answer:
Explain in your own words how knowledge of algebra is important when solving trigonometric equations.
Step-by-step explanation:
Last week, Paula worked 23 hours. This week, she worked 18 hours more than last week. She earns $11.75 per hour. How much money does Paula make?
Answer: $752
Step-by-step explanation:
Last week: 23
This week: 23 + 18 = 41
Total = 41 + 23 = 64
64 x 11.75 = $752
Ari will be a teenager 1 3/4 years His little sister anna will be one in 3 1/4 years how much longer does anna have to wait than ari?
Answer:
well this is just 3 1/4 - 1 3/4
Step-by-step explanation:
1 2/4 (or just 1 1/2)
Ari will be a teenager in 1 3/4 years His little sister anna will be one in 3 1/4. The longer anna has to wait than ari is 1 2/4.
We have given that,
Ari will be a teenager 1 3/4 years His little sister anna will be one in 3 1/4 years
We have to determine the how long does anna have to wait than ari
well , this is just 3 1/4 - 1 3/4.
What is subtraction?
The process of taking a matrix, vector, or other quantity away from another under specific rules to obtain the difference.
Therefore we get the
3 1/4 - 1 3/4=1 2/4 (or just 1 1/2).
Therefore the longer anna has to wait than ari is 1 2/4.
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Marcy wants to know which type of book is most commonly checked out by visitors of her local public library. She surveys people in the children's reading room between 1:00 and 2:00 on Saturday afternoon. Which statements about Marcy's survey are true? Select all that apply.
It is true about Marcy's survey that she wants to study all visitors of the library and due to this, her sample is not representative.
What does Marcy want to study?Marcy's study focuses on determining the type of books that visitors prefer to borrow. Based on this, Marcy is studying the preferences of all the visitors to the library.
How was the sample Marcy selected?The sample selected is not representative because she is only considering those that go to the children's room on a specific day and time of the week rather than all the visitors.
Based on this, it can be concluded her population is all visitors and the sample is not representative.
Note: This question is incomplete because the options are missing; due to this, I answered it based on general knowledge.
Learn more about population in: https://brainly.com/question/905400
Answer: Look at the explanation
Step-by-step explanation:
Note that I think it is the question in the math book.
Its says... (from what I see in my book)
A) Marcy’s sample is not a representative sample because not all of the library’s visitors go to the children’s reading program.
B) Marcy’s sample is a represnetative sample of the population.
C) Marcy will get a random sample by surveying as many people in the children’s reading room as possible.
D) The population of Marcy’s study consits of all visitors of the public library.
E) The results of Marcy’s survey include a mode, but niether a mean nore a median.
The answers that are true are
A
D
E
Why?
Let’s take letter b for example. It says that Marcy’s sample is a representative sample of the population. This is wrong because she asked all the people in the children’s reading room and that is not the whole population
*Note that the whole population is the people in the library*
Marcy needs to ask people who are in and not in the children’s reading room.
I am not sure if this is correct but I hope this helps with your question.
Will someone tell me if this is correct please?
Enola spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6125 feet.
Enola initially measures an angle of elevation of 16° to the plane at point A. At some
later time, she measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest tenth of a foot if necessary.
Answer:
12930.1
Step-by-step explanation:
please help me quick with it
Answer:
the answer is C
Step-by-step explanation:
I had the same question
AABC shows the floor space that a corner cabinet takes up. What is the
area?
The area of the triangle is 2√5 square units
Arwa of a triangleThe formula for finding the area of a triangle is expressed as:
A = 0.5bh
b is the base
h is the height of the triangle
Using the distance formula
b = AC = √(5-1)²+(0-2)²
base =√20
base = 2√5
For the height
h = √(1-3)²+(4-4)²
base =√2²
base = 2
Area = 0.5(2)(2√5)
Area = 2√5 square units
Hence the area of the triangle is 2√5 square units
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Kito makes on online purchase of a guitar case for $39.99, a tuner for $24.99 and picks for $26.99. Taxes are 6% of the total purchase price. Shipping charges are based on the following table:
Amount of Purchase
Standard Shipping
Express Shipping
up to $50
$5.10
$7.00
$50 up to $100
$6.35
$8.20
$100 up to $200
$7.80
$11.60
$200 and over
$10.50
$16.45
Kito selects express shipping and the company bills his credit card $105.69 for the total of the online purchase. Determine if Kito has been billed correctly for his purchase.
a.
Kito has been billed correctly.
b.
Kito has not been charged enough for his purchase.
c.
Kito has been over charged by $1.85 for his purchase.
d.
Kito has been over charged by $3.40 for his purchase.
Answer:
a. Kito has been billed correctly
Step-by-step explanation:
We simply need to check Kito's work to see if his price is accurate.
First, we can add the prices together to find the price before the sales tax is applied: 39.99 + 24.99 + 26.99 = $91.97
We can use this formula to figure out the total cost, C, after the sales tax, t is added:
C = l + (l * (t / 100)), where l = the price before applying the sales tax
C = 91.97 + (91.97 * (6 / 100)) = 97.4882 = $97.49
We know that the total cost lies between the 50 and 100 and that Kito chose the express shipping. Thus we add: 97.49 + 8.20 = $105.69.
If we did not round before, we would still get the same answer when rounding: 97.4882 + 8.20 = 105.6882 = $105.69
Kito has not been charged enough for his purchase.
Option B is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, we need to calculate the total cost of the purchase before shipping and taxes:
= $39.99 + $24.99 + $26.99
= $91.97
Next, we need to add the shipping cost based on the amount of the purchase:
Since the purchase amount is between $50 and $100, the express shipping cost is $8.20.
So the total cost of the purchase with shipping is:
= $91.97 + $8.20
= $100.17
Finally, we need to add the tax:
= 6% of $100.17
= $6.01
So the total amount Kito should be billed is:
= $100.17 + $6.01
= $106.18
And,
Since Kito was billed $105.69, he has been undercharged by $0.49.
Therefore,
Kito has not been charged enough for his purchase.
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Aunt sue baked a batch of cookies and shared 3/10 of them with her neighbor. If she gave 15 cookies to her neighbor, how many cookies had aunt sue bake altogether?
If she gave 15 cookies to her neighbor, 50 cookies had aunt sue bake altogether.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, Aunt sue baked a batch of cookies and shared 3/10 of them with her neighbor and she gave 15 cookies to her neighbor.
We have to solve the following problem by applying the arithmetic operation in the following fractions.
Suppose there is x number of cookies aunt sue bake altogether,
3/10 of x = 15
3x/10=15
x=(10×15)/3
x=150/3
x=50
Thus, if she gave 15 cookies to her neighbor, 50 cookies had aunt sue bake altogether.
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help please!!!!!!!!!
6. Molly uses 192 beads to make a bracelet and
a necklace. It takes 5 times as many beads
to make a necklace as it does to make a
bracelet. How many beads are used to make
the necklace?
Answer:
1960
Step-by-step explanation: 192 x 5
The graph shows the total cost tand
the number of shirts n purchased at
a store. Write an equation to express
this relationship. What is the cost of
20 shirts?
What is the value of 12a^-4b^-3 for a = 2 and b = -1?
Answer:
-3/4
Step-by-step explanation:
a = 2 and b = -1
12a⁻⁴b⁻³
= 12(2)⁻⁴(-1)⁻³
= 12(1/16)(-1)
= -12/16
= -3/4
Factor completely 3x3 − 3x2 − 18x. 3x(x 3)(x 2) 3x(x 3)(x − 2) 3x(x − 3)(x 2) 3x(x − 3)(x − 2).
Thank you if you help. It may take some time to give someone brainlyist just be patient.
Answer:
The bathroom measures 14 feet by 15 feet. They have 188 square feet of tile. Does the family have enough tile to cover their bathroom floor? Yes, they have enough tiles and will have 159 square feet of tiles left over.
Step-by-step explanation:
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The sum of one third of a number and five is equal to six less than the number
Call the number : x
(1/3)x + 5 = x-6
=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6
=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.
Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2
33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)
The circumference of a circle is 20 4/35 cm. What is the approximate diameter of the circle? Use 22/7 for π. Enter your answer as a mixed number in simplest form in the box. cm
The approximate diameter of this circle is equal to 6.4 cm.
Given the following data:
Circumference of a circle = [tex]20\frac{4}{35}[/tex] cm.[tex]\pi = \frac{22}{7}[/tex]To determine the approximate diameter of this circle:
How to calculate the circumference of a circle.Mathematically, the circumference of a circle is given by the formula:
[tex]Circumference = \pi D[/tex]
Where:
D is the diameter of a circle.Substituting the given parameters into the formula, we have;
[tex]20\frac{4}{35}=\frac{22}{7} D\\\\\frac{704}{35} =\frac{22D}{7} \\\\704\times 7=22D \times 35\\\\4928=770D\\\\D=\frac{4928}{770}[/tex]
D = 6.4 cm.
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Answer:
6.4 = 6 2/5
Step-by-step explanation:
i took the test
ayo
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What is the question of pi?
Answer:
It is also called Archimedes constant which was named after the Greek mathematician, Archimedes, who created an algorithm to approximate the pi value. The value of pi is irrational, which means that the count of digits after the decimal point is infinite.
I hope this helped (;
Answer:
of a Circle. The circumference divided by the diameter of a circle is always π, no matter how large or small the circle is! To help you remember what π is ... just draw this diagram.
...
Step-by-step explanation:
the sum of 48 and twice a number is 58. find the number
Answer:
5
Step-by-step explanation:
5 x 2 is 10 and 48 plus 10 is 58
Which choice shows the graph of a linear function?
Answer:
4th one
Step-by-step explanation:
because its a line (linear)
