Answer:
Its A x=21/4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.6 hours for the flight, and it takes the private airplane 2.4 hours.
The speed of the commercial jet is 180 miles per hour faster than the speed of the private airplane. Find the speed, in miles per hour, of both airplanes.
commercial jet
X mph
private airplane
X mph
Answer:
commercial: 540 mphprivate: 360 mphStep-by-step explanation:
Time is inversely proportional to speed for the same distance covered. The ratio of commercial to private speeds is ...
2.4 : 1.6 = 3 : 2
If p is the speed of the private plane, then 3/2p is the speed of the commercial plane and the difference of speeds is ...
3/2p -p = 180
1/2p = 180 . . . collect terms
p = 360 . . . . . . speed of the private plane
3/2p = 540 . . . . speed of the commercial plane
The commercial jet flies 540 mph; the private plane flies 360 mph.
it was observed that 60% read
magazine A, 50% magazine B, 50% magazine C, 30% A and B, 20% B and C, 30% C and
A and 10% all the threes. In the fitness of the thing, state (i) what percentage read exactly
two magazines ? (ii) what percentage do not read any of the threes ?
Answer:
je
Step-by-step explanation:
suis suis pasforet en anglais
We're dealing with percentage. hence, our universal set: U=100%.
Let:A = set of those that read magazine A
B = set of those that read magazine B
C = set of those that read magazine C
(i) we are looking for n{(A n B) u (B n C)}
so, n{(A n B) u (B n C)} = n(A n B) + n(B n C) -n(A n B n C)
n{(A n B) u (B n C)} = 20% + 30% - 10%
: n{(A n B) u (B n C)} = 40%
(ii) We're looking for {A' n B' n C'}
{A' n B' n C'} = n(U) - n(A u B u C)
{A' n B' n C'} = 100% - n(A u B u C)
n(A u B u C) = n(A) + n(B) + n(C) - n{(A n B) - n(A n C) -n(B n C) + n(A n B n C)
n(A u B u C) = 60% + 50% + 50% -30% - 30% - 20% + 10%
n(A u B u C) = 90%
however, {A' n B' n C'} = 100% - n(A u B u C)
: {A' n B' n C'} = 100% - 90%
{A' n B' n C'} = 10%
let me know if you think there's a reason to doubt my answer.
Hello everyone, I'm just having trouble on two questions for my Calculus work. Does anyone know where to start with this problem? Any help would be greatly appreciated!
Answer:
2) [tex](4 - 9x) {}^{ \frac{7}{2} } (4 - 9x) {}^{ \frac{7}{2} } [/tex]
3) in image 2
Which expression is equivalent to 4^36/ 4^9
a. (4^9)^3
b. 4^4
c. 4^45
d. 1/4^4
Answer:
A.
Step-by-step explanation:
Rule:
When 2 or more exponents divide, they subtract.
Divide using the rule:
[tex] {4}^{36} \div {4}^{9} = {4}^{36 - 9} = {4}^{27} [/tex]
B, C, and D are incorrect.
A is the correct option.
[tex]( {4}^{9} )^{3} = {4}^{9 \times 3} = {4}^{27} [/tex]
Which of the following is a valid application of the distributive property? A. 3. (4 - 5) = (3.4) - (3.5) B. 3 + (4 - 5) = (3 + 4) - (3 + 5) O Both A and B O A only O Neither A nor B B only
Answer:
The answer is A only.
Step-by-step explanation:
Hope that helps!
Answer:
A only.
Step-by-step explanation:
Solve
[tex]2 \times 2(3 \times 2) \\ hurry \: first \: person \: brainest \\ thank \: you[/tex]
Pls
hurry
Thank you
Answer:
24
Step-by-step explanation:
2×2(3×2)
2×2(6)
2×12
24
Estimate the sum of 604 and 392
Answer:
1000
Step-by-step explanation:
604 is close to 600.
392 is close to 400.
600 + 400 = 1000
Answer: 1000
Answer:
1,000
Step-by-step explanation:
Estimate means to round and sum means addition
604 rounds to 600
392 rounds to 400
600 + 400 = 1,000
I hope this helps! have a wonderful rest of ur day :)
Question is below- answers are provided as well
Please,please, help, please
Answer:
55
Step-by-step explanation:
This looks like it was written in Spanish. I can only answer you in English.
The 2 "c"s tell you PM = MR, so QM is an angle bisector.
PQR is a right angle and = 90 degrees.
x is 1/2 PQR so x is 45 degrees
x + 10 = 45 + 10 = 55
Which statement is true about the pattern above (Look at picture)
Answer:
C. the next fraction is 243/324
Step-by-step explanation:
In A, we can see that 12/16 does not fall under the sequence.
In B, all the values in the sequence is 0.75.
In C, the next fraction is determined by multiplying numerator and denominator by 3. therefor the correct solution is found.
In D, its wrong and does not match.
Check option C
243/324=0.75Hence option C is correct as all are equal in this sequence
the three gibbons brothers are 3 years apart. the total of their ages equals 33 years. what is the age of the oldest brother?
Answer:
18
Step-by-step explanation:
33 - 3 = 30
30 ÷ 2 = 15
15 + 3 = 18
Solve the equation.
y + 3 = -y + 9
O y = 1
O y = 3
O y = 6
O y = 9
Answer:
y = 3
Step-by-step explanation:
Subtract 3 from both sides of the equation
y + 3-3 = -y + 9-3
Simplify
y = -y + 6
Add y to both sides of the equation
y+y=-y+6+y
Simplify
2y = 6
Divide both sides of the equation by the same term
2y/2 = 6/2
Simplify
y = 3
[RevyBreeze]
The solution of the Equation is y= 3.
We have, the equation is
y + 3 = -y + 9
y + y = 9 - 3
2y = 6
Now, divide both side we get
2y = 6
2y/ 2 = 6/ 2
y = 3
Thus, the solution of y is 3.
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ7
Hi there I don't usually ask questions but I'm having a bit of trouble solving for X on this equation. 1+(3x-3)=1 You don't necessarily have to give me the answer, a break down would be just fine :)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]1+(3x-3)=1[/tex]
First, you have to take the one that is outside of the Parenthesis and take it to the other side. That would mean it would be this:
[tex]3x-3=1-1[/tex]
1 - 1 is 0
[tex]3x-3=0\\[/tex]
Move the -3 to the other side, which makes it positive;
[tex]3x=3[/tex]
Divide both sides by 3
[tex]x=1[/tex]
If you want to check it, you can replace 1 in the original equation:
[tex]1+(3X1-3)=1[/tex]
[tex]1+(0)=1[/tex]
[tex]1=1[/tex]
So x=1
Which of the following describes exponential decay?
A.) The amount at a given time can be calculated by subtracting an amount from the previous amount.
B.) The amount at a given time can be calculated by adding an amount to the previous amount.
C.) The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.
D.) The amount at a given time can be calculated by multiplying the previous amount by a value greater than 1.
Answer:
C. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.
Step-by-step explanation:
Exponential decay is when an exponential function decreases per x-value. These functions go by a multiplier and are therefore, not linear, so you cannot add or subtract. Because the function is decaying, it is multiplying by an amount less than 1, since the multiplier is 1 - r, where r is the percent.
Write the expanded form of the expression.
y(0.75 + 7)
+
Answer:
y(0.75+7) = 0.75y + 7y
Step-by-step explanation:
....
Answer:
if you open the bracket by multiplying y with the sum of the numbers you will have 7.75y
m with the power of -2 times n with a power of 3
Answer:
n^3/m^2
Step-by-step explanation:
I simplified the expression and I got ( n^3/m^2)
m^(-2) * n^(3) = n^3/m^2
(6n^2+5)+(-3n^2-2) i need your help
answer:
= 3n^2 + 3
...........
[tex]\huge\mathbb\pink{ANSWER:}[/tex]
[tex]\huge\tt\blue{3n² + 3}[/tex]
[tex] \large\tt\pink{••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex](6n^{2} + 5) + ( - 3^{2} - 2)[/tex]
[tex]6 {n}^{2} + 5 - 3 {n}^{2} - 2[/tex]
[tex](6 {n}^{2} - 3 {n}^{2} ) + (5 - 2)[/tex]
[tex](6 - 3) {n}^{2} + (5 - 2)[/tex]
[tex]3 {n}^{2} + (5 - 2)[/tex]
[tex]\large\tt\blue{3n² + 3}[/tex]
[tex] \large\tt\pink{••••••••••••••••••••••••••••••••••••••••••••••••••••••••}
[/tex]
The trapezoids below are similar. Find z.
Answer:
[tex]z = 24.5[/tex]
solving similarities:
[tex]\frac{upper-length}{bottom- length}=\frac{upper-length}{bottom- length}[/tex]steps:
[tex]\frac{2}{14} =\frac{7/2}{z}[/tex]
[tex]2z = \frac{14*7}{2}[/tex]
[tex]2z = 49[/tex]
[tex]z = 24.5[/tex]
Answer:
[tex]z = \dfrac{49}{2}[/tex]
Step-by-step explanation:
If the trapezoids are similar, then the ratio of side lengths will be equal.
[tex]\implies 14 : 2 = z : \dfrac72[/tex]
[tex]\implies \dfrac{14}{2}=\dfrac{z}{\frac72}[/tex]
[tex]\implies z=\dfrac{14}{2} \times \dfrac72[/tex]
[tex]\implies z = \dfrac{49}{2}[/tex]
Tommy mixed ‡ gallon of
yellow paint with 1; gallons
of blue to make green paint
for his treehouse. He ran out
of green and needs to make
more. If he uses 2 gallons of
blue paint, to keep the same
ratio, how much yellow paint
should Tommy use?Tommy mixed à gallon of
yellow paint with 1; gallons
of blue to make green paint
for his treehouse. He ran out
of green and needs to make
more. If he uses 2 gallons of
blue paint, to keep the same
ratio, how much yellow paint
should Tommy use?
Answer:
2/3 gallon
Step-by-step explanation:
If y is the amount Tommy should use, and he want to keep the same proportion, then the proportion is ...
y/(2 gal) = (1/2 gal)/(3/2 gal) = yellow/blue
y = (2 gal)(1/3) = 2/3 gal
Tommy should use 2/3 gallon of yellow paint.
For a scavenger hunt, Jim's mom distributed a bag of 858 jelly beans evenly into 26 plastic containers and hid them around the yard. If, after the hunt, Jim has a total of 330 jelly beans, then how many of the plastic containers did he find?
Answer:
the answer is 19.0384615385
Answer:
33
Step-by-step explanation:
divide 858 by 26
P.S. sorry I am really tired that is why it not as good of an explanation
anyone know the answer?
Answer:
no
Step-by-step explanation:
Carlos wants to have an average of
at least 90% on his tests for Semester
So far he has gotten a 95%.,
an 87%
and an 887. What is the minimum he
must get on the next test to maintain
the 90% average?
Enter the value of some ergoession 34+) is equinient to 3=o).
Answer:
1/27
Step-by-step explanation:
Answer:
1/27 is correct give brainliest to fist respond
according to its warning lable a rowboat can safely hold 310lb
Nick weighs 148 lb Elaine weighs 120 lb and Dario weighs 167 lb
Who can go on the boat safely
Answer:
Nick and Elaine can go on the boat safely
Elaine and Dario can go on the boat safely
Nick and Dario can NOT go on the boat safely
Step-by-step explanation:
Nick's weight + Elaine's weight = 268, 288<310
Elaine's weight + Dario's weight = 287, 287<310
Nick's weight + Dario's weight = 315, 315>310
Answer:
Nick And Elaine Can Go On The Boat Safely
Elaine And Dario Can Go On The Boat Safely
Nick And Dario can Not Go On The Boat Safely
Nick's weight + Elaine's Weight = 268
Elaine's Weight + Dario's Weight = 287
Nick's Weight + Dario's Weight = 315
◊ YusuCr ◊
Please help me. Use mathematical induction to prove the given statement for all positive integers n.
3+5+7+ ... + (2n+1)=n(n+2)
Part: 0/6
Part 1 of 6
Let P.be the statement: 3+5+7+ ... + (2n+1)=n(n+2).
Show that P, is true for n=
When proving by induction, your first step is to show that a given claim is true for some minimal case (often called the base case). The given statement is a claim about the sum of numbers of the form 2n + 1 where n is a positive natural number. The least positive natural number is n = 1, so that seems like a reasonable place to start.
Now, we show the claim holds for n = 1:
3 + 5 + 7 + … + (2n + 1) = n (n + 2)
is a statement about an arbitrary positive integer n; the case of n = 1 reduces to
3 = 1 (1 + 2) = 1 • 3 = 3
which is obviously true.
Next, we assume that the statement is true for some arbitrary positive integer n = k, so that
3 + 5 + 7 + … + (2k + 1) = k (k + 2)
This is called the induction hypothesis.
We then use this assumption to show that the claim is also true for the next positive integer, n = k + 1. This is the claim that
3 + 5 + 7 + … + (2k + 1) + (2 (k + 1) + 1) = (k + 1) (k + 1 + 2)
or
3 + 5 + 7 + … + (2k + 1) + (2k + 3) = (k + 1) (k + 3)
By the induction hypothesis, we have
3 + 5 + 7 + … + (2k + 1) + (2k + 3)
= k (k + 2) + (2k + 3)
= k² + 2k + 2k + 3
= k² + 4k + 3
= (k + 1) (k + 3)
and this is exactly what we wanted to show, that if P(k) is true, then P(k + 1) is also true.
This means we have
P(1) = true ⇒ P(2) = true ⇒ P(3) = true ⇒ …
and so on, and the claim is true for all positive integers n.
Help me to solve all of this questions
......
Answer:
Q 6.
[tex]2x - x + 4(x - (x + 7) - 2) \\ x + 4(x - x - 7 - 2) \\ x + 4( - 9) \\ = x - 36[/tex]
____o___o___
Q 7.
o 1)
[tex] \frac{ {x}^{2} - 4 }{5 - x} \times \frac{ {x}^{2} - 8x + 15}{ {x}^{2} - 5x + 6 } \\ \\ \\ \frac{(x + 2)(x - 2)}{5 - x} \times \frac{(x - 5)(x - 3)}{(x - 3)(x - 2)} \\ \\ \\ \frac{(x + 2)}{5 - x} \times \frac{(x - 5)}{1} \\ \\ \\ \frac{(x + 2)}{ - ( - 5 + x)} \times (x - 5) \\ \\ \\ \frac{(x + 2)}{ - (x - 5)} \times (x - 5) \\ \\ \\ \frac{(x + 2)}{ - 1} \\ \\ = - (x + 2) \\ \\ = - x - 2[/tex]
___o___o___
o 2)
[tex] \frac{ {x}^{2} - 2x - 8 }{ {x}^{3} + 3 {x}^{2} } \div \frac{x - 4}{ {x}^{2} - 9} \\ \\ \\ \frac{ {x}^{2} - 2x - 8}{ {x}^{3} + 3 {x}^{2} } \times \frac{ {x}^{2} - 9 }{x - 4} \\ \\ \\ \frac{(x - 4)(x + 2)}{ {x}^{2}(x + 3) } \times \frac{(x + 3)(x - 3)}{x - 4} \\ \\ \\ \frac{x + 2}{ {x}^{2} } \times \frac{x - 3}{1} \\ \\ \\ = \frac{(x + 2)(x - 3)}{ {x}^{2} } \\ \\ \\ = \frac{ {x}^{2} - x - 6 }{ {x}^{2} } [/tex]
__o___o__
Q 8.
a.
[tex]10 {x}^{2} + 7x - 12 \\ = (5x - 4)(2x + 3)[/tex]
Multiply 78 by a fraction that is equivalent to 1.
Answer:
78
Step-by-step explanation:
A fraction equivalent to 1 would be 2/2. 78 X 2/2 is 78
What is the slope of the line on the graph below?
Answer:
Two ways to get the solution:
slope = rise
run
slope = 1
3
or
slope = y2- y1
x2 - x1
slope = -4 - (-5)
3 - 0
slope = 1
3
What is the square root of -3-4i??
Answer:
this what i got
Step-by-step explanation:
=1.73205081i
All roots:
1.73205081i
−1.73205081i
3 is not a perfect square
help me please, will give brainliest
[tex]A\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right][/tex]
[tex]B\left[\begin{array}{ccc}3&-5&3\\2&3&1\\4&1&-3\end{array}\right][/tex]
[tex]Now,\\\\2B-A\\\\2\left[\begin{array}{ccc}3&-5&3\\2&3&1\\4&1&-3\end{array}\right]-\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]\\\\=\left[\begin{array}{ccc}6&-10&6\\4&6&2\\8&2&-6\end{array}\right] -\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]\\\\=\left[\begin{array}{ccc}5&-10&1\\4&11&-5\\8&-1&-2\end{array}\right][/tex]
Row 1 column 2(a12)=-10
Hence,-10 is your answer.