Answer:
The rate of the jet in still air is 738 mph and the rate of the wind is 90 mph
Step-by-step explanation:
Check: (738+90)*6 = 648*6 = 3888 mike's against the wind
(738-90)*6 = 828*6 = 4968 miles with the wind
solve the simultaneous equations 4x-3y=19 and 2x+3y=23
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \sf{4x - 3y = 19}[/tex] ••••• equation ( i )
[tex] \sf{2x + 3y = 23}[/tex] ••••• equation ( ii )
The coefficients of y are the same in both equation but the sign of 3y of equation ( i ) differs from the equation ( ii ). So , we add one equation from the other to eliminate 3y.
Adding equation ( i ) and ( ii ) , we get :
[tex] \sf{4x \: \cancel{ - 3y}} = 19[/tex]
[tex] \sf{2x \: \cancel{ \: + 3y}} = 23[/tex]
_________________
[tex] \sf{6x \: \: \: \: \: = \: \: \: 42 }[/tex]
Solve for x :
⟿ [tex] \sf{ \frac{6x}{6} = \frac{42}{6}} [/tex]
⟿ [tex] \boxed{ \sf{x = 7}}[/tex]
Now , substituting the value of x in equation ( ii ) , we get ( Remember : you can substitute the value of x in any of the equation ) :
[tex] \sf{2x + 3y = 23}[/tex]
⟿ [tex] \sf{2 \times 7 + 3y = 23}[/tex]
⟿ [tex] \sf{14 + 3y = 23}[/tex]
⟿ [tex] \sf{3y = 23 - 14}[/tex]
⟿ [tex] \sf{3y = 9}[/tex]
⟿ [tex] \sf{ \frac{3y}{3 } = \frac{9}{3}} [/tex]
⟿ [tex] \boxed{ \sf{y = 3}}[/tex]
[tex] \red{ \boxed{\boxed{ \tt{☥ \: Our \:final \: answer :x = 7 \: and \: y = 3}}}}[/tex]
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✑[tex] \underline{ \underline{ \sf{learn \: more }}}: [/tex]
https://brainly.com/question/20487855?exp=27-1
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Solve the system algebraically.
y = – 4x + 6
y = – 4x + 5
Answer:
We conclude that -1 = 0 is false, therefore the system of equations has no solution.
Step-by-step explanation:
Given the system of equations
y = – 4x + 6
y = – 4x + 5
solving the system of the equations
[tex]\begin{bmatrix}y=-4x+6\\ y=-4x+5\end{bmatrix}[/tex]
Substitute y = -4x+5
[tex]\begin{bmatrix}-4x+5=-4x+6\end{bmatrix}[/tex]
Refine – 4x + 5 = – 4x + 6
-1 = 0
FALSE!
NO SOLUTION!
We conclude that -1 = 0 is false, therefore the system of equations has no solution.
Carol had a previous balance of $557.83 in her checking account. She deposited checks
totaling $882.84, made cash withdrawals of $325.00, and wrote checks totaling
$617.77 that were paid by the bank. She also earned interest of $1.15. What is her
present balance?
(Present Balance = Previous Balance + Deposits - Withdrawals - Service Charges/Fees
+ Interest)
c) $496.75
b) $499.05
a) $2.384.59
d) $1.149.05
Answer:
x^2-4/7x-12/49=0
x= 6/7 and -2/7
Step-by-step explanation:
During Mr. Sanz’s tutorial class, four students were asked to write a number that is close to zero.
Answer:kathy 0.1. sorry if i am late
Step-by-step explanation:
Explain how you can use multiplication to solve a division problem.
Answer:Inverse operation
Step-by-step explanation: an example is 5 x 5. That equals 25 so take 5 and divide that by 5. Inverse operation is important.
43. f(g(x)]
44. g h
Express g. f and fog, if they exist, a
46. f = {(2, 1), (3, 4), (6, -2)}
g = {(1,5), (4, -7), (-2, -3)}
48. f = {(0, 2), (1, 1), (3, 3), (4, -1)}
g = {(0, 0), (1, 1), (2, 4), (
Answer:
46. f(g(x)) =doesn't exist
because from the range of g(x) there is none in the domain of f(x)
48.f(g(x)) = {(0,2), (1,1)}
HURRY PLEASE The top and bottom of a right rectangular prism are 4 inches long and 4 inches wide. What is true about the other faces
(front, back, left, and right)?
All four of the remaining faces will have a helght of 4 inches.
There is not enough information to tell what the other faces will look like.
Two of the remaining faces will be 4 inches wide.
All four of the remaining faces will be 4 inches wide.
Answer:
All four of the remaining faces will be 4 inches wide.Step-by-step explanation:
A right rectangular prism with square base and top with sides of 4 in.
It has four sides of 4 in wide each and of equal height of unknown measure.
Options:
All four of the remaining faces will have a height of 4 inches.
Incorrect, the height is unknown.There is not enough information to tell what the other faces will look like.
Incorrect, all the other faces are rectangular.Two of the remaining faces will be 4 inches wide.
Incorrect, all the faces are 4 in wide.All four of the remaining faces will be 4 inches wide.
Correct.what is 60 as a ratio
Answer:
the answer is 60/100 60%
Step-by-step explanation:
Someone help me do this please. I included a picture.
Answer:
52° and 128°
Step-by-step explanation:
The sum of the angles in a triangle is 180°
So to find the angles, the easiest thing to do is to use that fact.
There is one angle missing in the triangle shown, so to find it you need to subtract (5x-2)° from 180° since the angle is located on a line.
Simplifying that, you get 180°-(5x-2)°.
Now you can use the fact at the top of these instructions.
So you get the equation: 180°=2x°+76°+180°-(5x-2)°
Solving this equation, you get x=26
Plug x into the values that have x in the picture, and you get 52° and 128°
Eduardo is painting a rectangular wall that is 96 inches high and 110 inches long. What is the area of the wall?
Here the height and length are the sides of the rectangular wall and we have to find the area.
Area of rectangle is given by:
[tex] = l \times b[/tex]
where l is the length and b is the breadth/width according to the question. Plugging the given values:
[tex] = 110 \times 96 \: {inch}^{2} [/tex]
[tex] = 10560 \: {inch}^{2} [/tex]
Hence:-The area of the wall is 10560 inch²
hereeeeeeeeeeeeeeeeee
Answer: See explanation
Step-by-step explanation:
1. (x + 6)(x - 4)
x (x - 4) + 6 (x - 4)
x² - 4x + 6x - 24
x² + 2x - 24
2. (2x + 5)(x - 3)
2x (x - 3) + 5 (x - 3)
2x² - 6x + 5x - 15
2x² - x - 15
3. (3x + 2)(2x + 5)
3x (2x + 5) + 2 (2x + 5)
6x² + 15x + 4x + 10
6x² + 19x + 10
4. (2x - 1)(x - 5)
2x (x - 5) + -1 (x - 5)
2x² - 10x + -x + 5
2x² - 10x - x + 5
2x² - 11x + 5
Hope that helped!
Help me out from a through c (geometry/angle bisectors)
Answer:
A) supplementary
B) 148°
C) 50°
Step-by-step explanation:
A) supplementary
B) 180-32=148
C) 90-40=50
A notebook cost $4.50 plus sales tax. The sales tax is $.36. what is the sales tax rate?
Answer:
It's simple the answer is 8%
Step-by-step explanation:
$. 36/ $4.50 × 100 = 8%
Answer:
8%
Step-by-step explanation:
Sales price x sales tax rate = sales tax
4.50 x sales tax rate = .36
sales tax rate = .36/4.50
sales tax rate = .08 or 8%
then how many inches
10. If 1 inch represents 10 miles on a map,
will represent120 miles?
Answer: 12 inches
Step-by-step explanation: 1:10
10:100
12:120
Yeah So each inches is 10 miles so if you use 12 inches then you get 120 miles in the Map that’s my explanation, so try to rewrite your question cause it’s kinda messed up
Use a graphing tool to solve the system.
{4x−15y=−432x−3y=−2
Which ordered pair is the best estimate for the solution to the system?
A (4.8,5.2)
B (6.5,5.2)
C (5.1,4.8)
D (5.5,4.3)
Answer: D (5.5,4.3)
Step-by-step explanation:
Answer:
D: 5.5, 4.3
Step-by-step explanation:
yes
Which equations are correct?
Select each correct answer.
help please, i’ll give brainly
Answer:
36
Step-by-step explanation:
let amount of money for cheese scone be x
plain scone is 3x and fruit scone is 4x add them all up and it is 8x
96/8 is 12
then that means x=12 and plain scone is 12 times 3 which is 36
2) How can 4(3 + 8) be rewritten using the distributive property?
12 + 8
3 +32
12 + 32
43 + 48
Use any method to divide
Answer:
Step-by-step explanation:
remember when we divide 2 fraction, we will multiply the first one with the reciprocal of the second
(5/12)*(- 6/1)=-30/12= - 5/2= -2 1/2
look at the image to figure out how to solve this!!
good luck, and have a good day :]
2x + 4y − 6z = 44
x + 2y + 3z = −2
3x − 4y + 4z = −16
(x, y, z) =
Answer:
x,y,z=4,3,-4
Step-by-step explanation:
2x+4y-6x=44 = x+2y-3z=22
x+2y-3z=22
x+2y+3z=-2
x+2y-3z=22
3x-4y+4z=-16
x+2y-3z=22 ------>
2x+4y=20
x+2y+3z=-2 ------>
x+2y-3z=22 ------>
13x-4y=40
3x-4y+4z=-16 ------->
2x+4y=20
13x-4y=40
y=3
x=4
4+2x3-3z=22
z=-4
(x,y,z)=(4,3,-4)
2x4+4x3-6x(-4)=44
4+2x3+3x(-4)=-2
44=44
-2=-2
-16=-16
(x,y,z)=(4,3,-4)
I am so sorry if it is incorrect I tried :<
PLEASE ANSWER ASAP!!!!!!!!!!!!!!
The equation m = 32 g represents the average number of miles, m, that a car can go on g gallons of gas. What is the constant of proportionality and what does it represent in this situation?
Answer:
32
Step-by-step explanation:
32 is the constant of proportionality. Its represents thr average number of miles per gallon.
If you have 12 donuts for $5.40, what is the cost of one donut
Answer:
0.45
Step-by-step explanation:
you have to divide 5.40 by 12
Find the slope of the line that contains the following points.
(18, –7) and (18, 2)
Answer:
Step-by-step explanation:
.
Will give the brainliest answer
Answer:
I think it's C, because the figures are similar by THAT statement
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!
Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours after, I went back to the gas station with my dad’s car and I put 6 gallons and I paid $18.
is this proportional or not?
Jack and Cameron are playing a game of paper football by the rules you can score a five point touchdown or seven in the game there have been 13 touchdowns scored for a total of 71 points how many of these touchdowns were seven point touchdowns
Answer:
3 seven point touchdowns
Step-by-step explanation:
x=5 pointn
y=7point
x+y=13
5x+7y=71
solve
multiply first equaiton by -5 and add
-5x-5y=-65
5x+7y=71 +
0x+2y=6
2y=6
divide 2
y=3
sub
x+y=13
x+3=13
x=10
10 five point touchdowns
3 seven point touchdowns
A type of green paint is made by mixing 2 cups of yellow with 35 cups of blue.
1. Find a mixture that will make the same shade of green but a smaller amount
2. Find a mixture that will make the same shade of green but a large amount
3. Find a mixture that will make a different shade of green that is bluer.
4. Find a mixture that will make a different shade of green that is more yellow.
Answer:
1. 1 cup of yellow 17.5 cups of blue 2. 4 cups of yellow 70 cups of blue
3. 2 cups of yellow 40 cups of blue 4. 2 cups of yellow 30 cups of blue
Step-by-step explanation:
1. to get same shade keep ratios the same but divide by 2 for smaller amount
2/2 = 1 and 35 /2 = 17.5
2. similar to 1. except multiply by 2
3. use same yellow amount but more blue
4. use same yellow but less blue
As president of the soccer club, Joey had to order pins for the entire club. He knew there were 96 boys in the club, but did not know the number of girls. The coach told him that the ratio of girls to boys was 2:3. How many pins did Joey have to order?
a.
64 pins
c.
144 pins
b.
160 pins
d.
192 pins
Answer:
160 pins
Step-by-step explanation:
In triangle ABC, angle A = 2x + 5, angle B = 4x + 10 and angle C = x - 31. Find the value of x.
Answer:
x=28
Step-by-step explanation:
sum of all angles im a triangle = 180°
(2x+5) + (4x+10) + (x-31) = 180
7x=196
x=28
Answer:
x = 28°
Step-by-step explanation:
Sum of a triangle is equal to 180°. Firstly you need to form an equation. Add all the angles which equals to 180°.
2x + 5 + 4x + 10 + x - 31 = 180°
Now simply and find the value of x. Add all the x terms and whole numbers.
7x + 5 + 10 - 31 = 180°
7x + 15 - 31 = 180°
7x - 16 = 180°
7x = 180° + 16
7x = 196
x = 196 ÷ 7
x = 28°
So the angles are:
Angle A = 2x + 5
2 x 28 + 5 = 61°
Angle B = 4x + 10
4 x 28 + 10 = 122°
Angle C = x - 31
28 - 31 = -3°
helppp nowwww plssss!!!