The speed on the plane is 104mph while that of the wind is 78mph
Speed and distancesThe formula for calculating distance is expressed as:
Speed = Distance/Time
If the plane is flying with the wind;
3(r+ w) = 312
r + w = 104 ................... 1
If against the wind
4(r - w )= 312
r- w = 78 .................. 2
Add both equations
2r = 104 + 78
2r = 182
r = 91
Since r + w = 104
w = 104 - 91
w = 13
Speed on the plane = r + w = 91 + 13 = 104mi/hr
Speed on the wind = 91 - 13 = 78mi/hr
Learn more on speed here: https://brainly.com/question/4931057
a basketball team played 30 games. they won 22 . what is the ratio of games won to games lost ?
Answer:
22:8
11:4
Step-by-step explanation:
for every 22 games won, there was a loss of 8 games
simplify...
for every 11 games won, there was a loss of 4 games
let me know if this helps :3
change 4 and 3/5 to an improper fraction
Answer:
The answer is 23/5, or 23 over 5.
Step-by-step explanation:
4 and 3/5
Multiply the denominator by the whole number and add the numerator, all over the original denominator to calculate the improper fraction.
20 + 3 over 5
please answer correctly
Step-by-step explanation:
BF is parallel to CG, DH
so here the ans is choice 1
Answer:
BF is parallel to none of the options.
Step-by-step explanation:
Find the solution of the system of equations.
2x+5y=-11
-8x-5y= -1
Answer:
x = 2 , y = -3
Step-by-step explanation:
by elimination method
+5y in equation 1 cancel -5y in equation 2
2x - 8x = -11 - 1
-6x = -12
divide both sides by - 6
- 6x/ -6 = -12/-6
x = 2
substitute x = 2 into equation ii
- 8 (2) - 5y = - 1
- 16 - 5y = - 1
collect like terms
- 5y = -1 + 16
- 5y = 15
divide both sides by -5y
-5y/-5y = 15/-5y
y = - 3
eleven more than twice x is 5 less than x.
Answer:
x= -2
Step-by-step explanation:
11+2x = 5 - x
6 = -3x
x = -2
In the diagram, the measure of angle 3 is 105°.
A
1/2
4/ 3
5 6
8 7
Which angle must also measure 105?
041
O24
Answer:
<6
Step-by-step explanation: The total should be 180 and its common sense to know that measure <5 is not 105 degrees
A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people.
Function B gives the amount of money that the bus operator earns when n people ride the bus.
Which numbers make sense as inputs and outputs for this function?
i. 3-10
ii. 4-11
iii. 2-10
iv. 10-15
Answer:
the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.
Amount = 3.5n
Sarah wrote the whole numbers from 1 to 85 on a sheet of paper. How many times did Sarah write the digit 7?
Answer:
18
Step-by-step explanation:
7, 17, 27, 37, 47, 57, 67
70, 71, 72, 73, 74, 75, 76, 77, 78, 79
whats greater -5 or-6
Answer:
-5
Step-by-step explanation:
-5 is closer to being a positive number
Answer:
-5 is greater than -6
Step-by-step explanation: Because when we are talking about negative numbers the bigger number is always going to be the smallest and the smallest number is always going to be the the greater number. Hope this helps!!:)
Help please. Im stuck
Answer:
16 units squared
Step-by-step explanation:
First, calculate the distance between (0, 0) and (0, 4). The distance is in y, so there are 4 units in-between.
Next, calculate the distance between (0, 0) and (4, 0). This time, the distance is in x, but it is still four.
We know the dimensions of the shape are 4x4 so we just multiply.
4*4=16
A circle is divided into 10 equal parts what is the angle measure of four of those parts
Answer:
Four of those parts will have 144 degrees
Explanation:
A full circle will always have 360 degree
If the circle is divided into 10 equal parts,
The angle shall divide in 10 parts:
Each slice angle: [tex]\frac{360}{10}[/tex] = 36 degrees.
1 parts has 36 degrees; so:
Four parts will have: 36 * 4 = 144 degrees.
hi who can help me do this 2quetion,I will mark brainlest
Step-by-step explanation:
[tex]8. log_{10}(2.15) = 0.332 \: then \: log_{10}(21500) = ..... \\ log(21500) = log(2.15 \times 10000) \\ = log(2.15) + log(10000) \\ = log_{10}(2.15) + log_{10}( {10}^{4} ) \\ = 0.332 + 4 log_{10}(10) \\ = 0.332 + 4(1) \\ log_{10}(21500) = 4.332[/tex]
9. log(2)=a, log(3)=b, then log(36)=______
log(36) = log(6*6) = log(6) + log(6)
log(36)= log(6) + log(6)
log(36) = log(3*2) + log(3*2)
log(36) = (log(3) + log(2)) + (log(3) + log(2))
log(36) = (a + b) + (b + a)
log(36) = a + b + b + a
log(36) = 2a + 2b
Answer:
4.3324384599
or you can just round it to 4.332
Question
A sandbox in the shape of a rectangular prism measures 7 feet by x feet by 9 feet. Write a simplified expression for the volume (in cubic feet) of the sandbox.
Answer:
63x ft³
Step-by-step explanation:
To find the the volume of a rectangular prism you multiply all the dimensions (7 feet, x feet, and 9 feet in this case).
7×x×9=
63×x=
Volume= 63x ft³
If.you are missing a term in your
polynomials (both dividend and divisor),
you must put a zero as a coefficient
place holder for that term.
Only for the dividend
False
Only for the divisor
True
Answer:
True
Step-by-step explanation:
You need a place holder in both the dividend and the divisor when dividing polynomials.
WILL GIVE BRAINLIEST!! In this triangle, what is the value of x? enter your answer, rounded to the nearest tenth, in the box.
x = 56.5 and rounded to the nearest tenth is still gonna be 56.5 but to the nearest TENS is 60 (Please give brainliest!!)
Step-by-step explanation:
His is a right triangle so you can use SOH CAH TOA :
Sine = opposite/ hypotenuse
Cosine= adjacent/ hypotenuse
Tangent = opposite/ adjacent
here you have the hypotenuse and are looking to solve for the adjacent side to angle measure 28
so you can set this up like this: cos(28)= x/64
now multiply both sides by 64 and you'll get x = 56.5 just make sure your calculator is in degrees not radians
Luke is 5 feet 11 inches and weighs 170 pounds. Using the body mass index chart as a guide, under which category would he fall? A. Underweight B. Normal C. Overweight D. Obese Please select the best answer from the choices provided. A B C D.
Answer:
Normal
Step-by-step explanation:
If your BMI is less than 18.5, it falls within the underweight range. If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.
Answer:
The answer is B
Step-by-step explanation:
Took The Test
Three vertices of a rectangle are (6,1), (3,1), and (3,8). What are the coordinates of the fourth vertex?
Answer:
Image result for Three vertices of a rectangle are (6,1), (3,1), and (3,8). What are the coordinates of the fourth vertex?
One would be to divide the rectangle into two triangles, then use the Pythagorean Theorem to find the distances between the points, and finally use Heron's formula to find the areas of the two triangles.
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2.
Step-by-step explanation:
What is the value of X? Enter your answer in the box X=
Answer:
25
Step-by-step explanation:
by Pythagoras' theorem,
13^2=12^2 + x^2
169=144+x^2
x^2=169-144
x^2=25
√x=√25
therefore, x=25
At a certain restaurant, 8 sandwiches and 10 burritos will cost $123.40. In addition, 5 sandwiches
and 9 burritos cost $97.20. Assuming that we are talking about the same sandwiches and burritos,
what is the cost of 1 sandwich? What is the cost of 1 burrito? Let x represent the cost of a
sandwich and y represent the cost of a burrito
Equation #1:
Equation #2:
Cost of 1 burrito:
Cost of 1 sandwich: $
Answer:
Equation 1: 8x + 10y = 123.4
Equation 2: 5x + 9y = 97.2
cost of a burrito = $7.30
cost of a sandwich = $6.30
Step-by-step explanation:
Let x = cost of a sandwich
Let y = cost of a burrito
Equation 1: 8x + 10y = 123.4
Equation 2: 5x + 9y = 97.2
Rewrite equation 1 to make y the subject, then substitute into equation 2 and solve for x:
8x + 10y = 123.4
⇒ 10y = 123.4 - 8x
⇒ y = 12.34 - 0.8x
5x + 9(12.34 - 0.8x) = 97.2
⇒ 5x + 111.06 - 7.2x = 97.2
⇒ 13.86 = 2.2x
⇒ x = 6.3
So cost of a sandwich = $6.30
Substituting x = 6.3 into equation 2 and solving for y:
5(6.3) + 9y = 97.2
⇒ 31.5 + 9y = 97.2
⇒ 9y = 65.7
⇒ y = 7.3
So cost of a burrito = $7.30
Answer:
8x + 10y = 123.40
5x + 9y = 97.20
OR
40x + 50y = 617
-40x - 72y = -777.6
x = $6.30
y = $7.30
Step-by-step explanation:
we can write this system of equations:
8x + 10y = 123.40
5x + 9y = 97.20
using the 'elimination method', we can multiply the first equation by 5 and the second equation by -8 to get:
5(8x + 10y) = 123.4(5)
40x + 50y = 617
-8(5x + 9y) = 97.2(-8)
-40x - 72y = -777.6
now we can add the new equations and solve for 'y':
40x + 50y = 617
-40x - 72y = -777.6
-22y = -160.6
y = 7.30
now we can substitute 7.3 for 'y' so we can solve for 'x':
8x + 10(7.3) = 123.4
8x + 73 = 123.4
8x = 50.4
x = 6.30
Type the missing number that makes these fractions equal 1/ =2/4
Answer:
1/2=2/4
Step-by-step explanation:
if you simply 2/4 it becomes 1/2. i hope that's what you were asking for.
Answer:
2
Step-by-step explanation:
Simplify 2/4 to give 1/2
Just divide top and bottom by 2
Do the equations 5y−2x=18 and 6x=−4y−10 form a system of linear equations?
For clear understanding refer to the attachment please! :)
So I'm trying to answer these problems but decimals aren't my strong suit
These are the questions
a - 2.01 = 5.5
b + 2.01 = 5.5
10c = 13.71
100d = 13.71
Answer:
number 1 is a - 2.01 = 5.5 and the answer is a=7-51
number 2 is b + 2.01 = 5.5 and the answer is b=3.49
number 3 is 10c = 13.71 and the answer is c=1.371
number 4 is 100d = 13.71 and the answer is d=0.1371
Step-by-step explanation:
Find the measure of AD
Answer:
x=6
Step-by-step explanation:
triangles CDB and ADB are equal so we know that CD=AD and can write this equation:
3x+5 = 5x-7
subtract '3x' from each side:
5 = 2x-7
add 7 to each side:
12 = 2x
12/2 = x
6=x
If Mr. John plans to replace the carpet in his living room AND bedroom with carpet that cost $2.00 per square foot, how much will it cost to replace it if there are no other charges?
Answer:
1496
Step-by-step explanation:
A = lw
22 x 16 = 352 ( bedroom)
22 x 18 = 396 (living)
352 + 396 = 748
748 x 2 = 1496
hope this helps
pls mark brainliest
What is the sum of the polynomials? (6x+7+8^2) + (2x^2-3)
Answer:
2(x^2 + 3x + 34)
Step-by-step explanation:
(6x+7+8^2) + (2x^2-3)
= 6x + 7 + 64 + 2x^2 - 3
= 2x^2 + 6x + 68
= 2(x^2 + 3x + 34)
Mortimer got into his car and drove away. Exactly 1 hour later, his wife Deborah began to chase after him when she realized that he was probably sleepwalking again (sleep driving, that is). If Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take Deborah to catch him? (ULx8.5)C OIx¿.D NORI DON abB0 Quiba 12BE WON
It took Deborah 2 hours to catch Mortimer.
Time calculationTo determine, if Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take Deborah to catch him, the following calculation must be made:
75X = 50 + 50X75X - 50X = 5025X = 50X = 50 / 25X = 2Therefore, it took Deborah 2 hours to catch Mortimer.
Learn more about time calculation in https://brainly.com/question/26368368
Please answer soon (60 points!)
Answer:
3.5
Step-by-step explanation:
We will divide 35 by 10.
35/10 = 3.5
75 is 60% of what number? 30 45 125 450
Answer:
60% of 125
Step-by-step explanation:
60% of 30 = 18
60% of 45 = 27
60% of 125 = 75
60% of 450 = 270
branliest pls
Answer:
125
Step-by-step explanation:
i took the test :D
Please answer this correctly
Thank you
percentage is a ratio of a number or fraction to 100
percentage =per(every) + cent (100)
per cent = per 100
1. 63 % = 63 /100 = 0.63
2. 9 % = 9/100 = 0.09
3. 152 % = 152/100 = 1.52
At the zoo, detailed records are kept for each animal. This chart shows the weight of a tiger cub. During which period was the weight gain the lowest?
Answer:
a. may to june
Step-by-step explanation:
subtract all the first months by second months to get answer.