Answer:
The rate of the plane is 753 km/h while the rate of the wind is 75km/h
Step-by-step explanation:
Here in this question, we are interested in calculating the rate of the plane in still air and the rate of the wind.
Since we do not know these rates, we shall be representing both using variables.
Let’s represent the rate of the plane in still air by x kmph while the rate of the wind be represented by y kmph
Now, for us to calculate the speed of the plane while it travels against the wind, that would be the speed of the plane in still air minus the speed of the wind.
Mathematically, that would be (x-y) kmph
Now the speed of the plane while it travels with the wind would be its speed in still air plus the speed of the wind.
Mathematically, that would be;
(x + y) kmph
From the question;
The plane journeyed 5424 km against the speed in 8 hours, this means that its speed will be 5424/8 = 678 kmph
Thus, that means;
x -y = 678 •••••••(i)
Now, traveling with the wind , its speed will be ;
6624/8 = 828 kmph
Thus;
x + y = 828 kmph •••••••(ii)
So we have two equations to solve simultaneously;
Let’s add both together;
x -y + x + y = 828+ 678
2x = 1,506
x = 1506/2
x = 753 kmph
From ii
x + y = 828
y = 828 - x
y = 828 - 753
y = 75 kmph
God loves you :) Evaluate: 3 times (12 minus 5) minus 9 A.) 1 B.) -6 C.) 12 D.) 22
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{12}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
Using PEMDAS rule :
Parentheses, Exponents , Multiplication , Division , Addition , Subtraction
Let's solve
[tex] \sf{3 \times (12 - 5) - 9}[/tex]
Subtract 5 from 12
⇒[tex] \sf{3 \times 7 - 9}[/tex]
Multiply the numbers
⇒[tex] \sf{21 - 9}[/tex]
Subtract 9 from 21
⇒[tex] \sf{12}[/tex]
Hope I helped!
Best regards!!
what are scaled copies? and how to use them?
Answer:
A scale copy of a figure is a figure that is geometrically similar to the original figure. This means that the scale copy and the original figure have the same shape but possibly different sizes. First you have to look at one of the sides of the scaled copy. If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.
Which two expressions are equivalent
4x + 3y = 26 3x - 2y=11
Answer:
x = 5
Step-by-step explanation:
2 (4x + 3y = 26)
3 (3x - 2y = 11)
8x + 6y = 52
9x - 6y = 33 [the 6y and -6y cancel out]
17x = 85 [divide both sides by 17 to find x]
x = 5
Step-by-step explanation:
Hey, there!!
Given,
4x + 3y = 26........(i)
3x -2y = 11............(ii)
Multiplying equation (i) by 2 and equation (ii) by 3 we get,
8x - 6y = 52
9x + 6y = 33
17x = 85 { cancelling 6y and -6y}.
[tex]x = \frac{85}{17} [/tex]
Therefore, x= 5.
Now, putting the value of x is equation (i)
4x + 3y = 26
4×5 + 3y = 26
20 + 3y = 26
3y = 26 -20
[tex]y = \frac{6}{3} [/tex]
Therefore, y = 2.
Hope it helps.....
simplify expression
25 - (√ 16-1)•(3-9)^2
Answer:
-83
Step-by-step explanation:
25-(4-1)×(-6)^2
25-(3)×36
25-108
The ideal gas equation says that the product of the pressure, P, and the volume of a gas, V, is equal to the number of miles of the gas,n, times the gas constant, R, times the temperature of gas,T.
PV=nRT
which of the following equations is equivalent to the ideal gas equation?
Algebra 1
Answer:
T=PV/nR
Step-by-step explanation:
Use the division property of equality to solve the ideal gas equation for T. Divide both sides of the equation by nR, then simplify.
PV=nPT
PV/RT=nRT/nR
PV/nR=T
Therefore, the equation below is equivalent to the ideal gas equation.
T= PV/nR
Please I need help!!!
F 25
G20
H10
J28
Answer: J) 28
Step-by-step explanation: Triangle interior angles equal 180°
PLEASE HELP MEEEEEEEEEEEEEE
Answer:
D Line segments are the same and do not intersect
Step-by-step explanation:
They are parallell lines and are the same length
Answer:
eat my butt
Step-by-step explanation:
Miranda buys 6 pounds of nuts . 3/4 pounds in her bag how many bags
Answer:
8 bags
Step-by-step explanation:
Take the number of nuts and divide by the number of pounds in a bag
6 lbs ÷ 3/4 lbs
Copy dot flip
6 * 4/3
8 bags
Answer:
[tex]\Huge \boxed{\mathrm{8 \ bags}}[/tex]
Step-by-step explanation:
We can solve the problem with algebra.
[tex]\displaystyle \frac{3}{4} x=6[/tex]
Let x be the number of bags.
Multiply both sides by [tex]\frac{4}{3}[/tex]
[tex]\displaystyle \frac{3}{4} x \cdot \frac{4}{3} =6 \cdot \frac{4}{3}[/tex]
[tex]x=8[/tex]
The number of bags is 8.
help me with this problem please
Answer:
$77.39
Step-by-step explanation:
170/2 230/3 290/4
take all three answers and add together, then divide by 3 :)
Given that 110ₓ = 40₅ , find the value of x.
Answer:
x = 4
Step-by-step explanation:
110ₓ = 40₅ --------- change all to base ten.
the system called binary
1x²+1x ¹+0x⁰ = 45¹+0*5⁰
x² + x + 0 = 20
x² + x – 20 = 0
solve x using Quadratic equation
-1 ± [tex]\sqrt{1^2 - 4* 1 (-20)}[/tex]
x = ------------------------------------
2 * 1
x = -5; x = 4
therefore, x = 4
Suppose you want to solve the equation 2a+b=2a, where a and b are nonzero real numbers. describe the solution.
Answer:
b=0 would appreciate brainliest
Step-by-step explanation:
Otherwise, no solution for this equation. You cannot isolate the variable a; its solution value can be anything, but you still find b=0.
2a+b=2a
b+2a=2a
b+2a-2a=2a-2a
b+0=0
b=0
1. Which becomes 2(1) + 0 = 2(1)
2. 2 + 0 = 2 :
3. 2 = 2. Here we can observe the equality.
Bismah is building 5 raised garden beds in a community garden. Each raised
garden bed will need 1 7/8 bags of soil. How many bags of soil will Bismah need for
all 5 raised garden beds?
Answer:
9.375, or 10 bags, since he cant buy a part of a bag. Hope this helps!
Step-by-step explanation:
Solve the equation a = m – n for the variable n
Answer:
a=m-n
(Add n to both sides)
a+n=m-n+n
(The -n and +n cancel out, on the right side of the equation)
a+n=m
(Now subtract a from both sides)
a+n-a=m+a
(The +a and -a cancel out, on the right side of the equation)
n=m+a
Answer:
[tex]\huge \boxed{n=-a+m}[/tex]
Step-by-step explanation:
[tex]a=m-n[/tex]
Adding [tex]n[/tex] to both sides.
[tex]a+n=m-n+n[/tex]
[tex]a+n=m[/tex]
Subtracting [tex]a[/tex] from both sides.
[tex]a+n-a=m-a[/tex]
[tex]n=m-a[/tex]
Vanessa and zack are playing a game where a player with the lower score wins at the end of the game Vanessa has a score of -3 5/8 and zack has a score of -3 2/3 which statement explains who won
Complete question :
Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of -3 5/8 and Zack has a score of -3 2/3. Which statement explains who won?
Vanessa won. If you compare the decimal equivalents of their scores, -3.625 < -3.666.
Vanessa won. If you compare the decimal equivalents of their scores, -3.666 < -3.625.
Zack won. If you compare the decimal equivalents of their scores, -3.625 < -3.666.
Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625
Answer: Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625
Step-by-step explanation:
Given that :
Player with the lowest score wins ;
Vanessa's score = - 3 5/8
Zack's score = - 3 2/3
Converting to decimal:
Vanessa :
-3 5/8 = - 29 /8 = - 3.625
Zack:
-3 2/3 = - 11/3 = - 3.666
Comparing the scores :
From the negaryce side of a number line :
-3.666 comes before - 3.625, hence, - 3.666 is lower or lesser than - 3.625
-3.666 < - 3.625, hence Zack won
Answer:
D. Comparing the decimal equivalents of their scores shows that Zack won because -3.6 (line over 6) if less than -3.625.
Step-by-step explanation:
Edge 2021
Help me with this question this was supposed to be due yesterday!
Effects of Shifting, Adding and Removing Data
Pamela works at the zoo. She was looking at some data showing the weight of their 4 giraffes. The mean of weight of the giraffes was 1,800 pounds and the median weight was 2,000 pounds. Then gets a baby giraffe that weighs 500 pounds. How would the addition of the baby giraffe affect the mean and median?
Chose one:
• Both the mean and median increased.
• Both the mean and median decreased.
• The mean increased, but the median decreased.
• The median increased, but the mean decreased.
Answer: Both the mean and median decreased.
Step-by-step explanation:
The addition of the 500 lb baby elephant will have a huge impact on the mean, since you'll be finding the average (adding all numbers then dividing). So the only logical answer would be the chosen. The median will most likely either decrease or stay the same, but since staying the same isn't an option for the median, it's most likely going to be decrease.
[I do apologize in advance if it's wrong, and next time try submitting work on time :)) Hope I helped!]
(8^-5/2^-2)^-4 select the equivalent equation 1)8^20/2^8 2)2^6/8^9 3)1/8 x 2^2
Answer:
1) 8²⁰ / 2⁸
Step-by-step explanation:
(8⁻⁵ / 2⁻²)⁻⁴
multiply the exponents
-5 • -4 = 20 → 8²⁰
-2 • -4 = 8 → 2⁸
8²⁰ / 2⁸
how do I solve this
Answer: pemdas you solve each portion in the order of pemdas parenthesis, exponents, multiplication, division, addition, and subtraction so you would start with 2(5x) than you would need to make both sides true so if you were to take 6 away from the left side of the equal sign you would need to do the same on the other side so put negative six on the right side
Step-by-step explanation:
Answer:
[tex]\huge \boxed{\mathrm{No \ solutions.}}[/tex]
Step-by-step explanation:
[tex]6-2|5x|=86[/tex]
Subtracting 6 from both sides.
[tex]-2|5x|=80[/tex]
Dividing both sides by -2.
[tex]|5x|=-40[/tex]
Solving for absolute value.
Absolute value cannot be less than 0.
There are no solutions.
Simply the radical expression 189
Answer
13
Step-by-step explanation:
Snow Instructions
Question 1 (1 point)
1) Tr +1= 7(1 +r)
a
One Solution
b
No Solution
C
Infinite Solutions
Answer:
C
Step-by-step explanation:
tr+1=7(1+r) Step 1: Add -7r to both sides. rt+1+−7r=7r+7+−7r rt−7r+1=7 Step 2: Add -1 to both sides. rt−7r+1+−1=7+−1 rt−7r=6 Step 3: Factor out variable r. r(t−7)=6 Step 4: Divide both sides by t-7. r(t−7) t−7 = 6 t−7 r= 6 t−7 Answer: r= 6 t−7
Hoped I helped
Kens prediction temperature for April 7C. His prediction for May is 2C higher than April. He use the number line to solve the problem, starting at zero, moving right to seven, and then moving to units to the left. Explain Ken's error
Answer:
Step-by-step explanation:
Given that:
Ken's prediction temperature for April 7C.
His prediction for May is 2C higher than April.
He attempts to use the number line to solve the problem.
On a number line, we have the origin at a given point zero, the positive x-axis to the right side, and the negative x-axis to the left side.
So, if Ken's starts from zero and move right to seven and the move units to the left, the error he made was moving 2 units to the left because he supposed to have continued in the right direction by moving 2 units forward. This is because moving to the left side will showing a decrease in the temperature by -2° C and he intends to have 2° C.
What does ''|x|'' mean in math? For example, ''h(x) = |x|''
Absolute value which means even negative integers are considered as positive
the volume of a coffee mug should be measured in
Answer:
I think it's millilitres.
Explanation: You use millilitres or fluid ounces to measure a coffee mug.
Hope it helps!
Answer:
The cup is a cooking measure of volume, commonly associated with cooking and serving sizes. It is traditionally equal to half a liquid pint in US customary units, or an amount between 200 mL and 250 mL (1 ⁄ 5 and 1 ⁄ 4 of a litre) in the metric system, which may vary due to location.
given the function f(x)=5(x+4)-6 solve fot the inverse function when x=19
Answer:
I got 109
Step-by-step explanation:
f(x)=5(x+4)-6 x=19
f(19)=5(19+4)-6
*Add 19 + 4 because it is in ()* f(19)=5(23)-6
*Multiply because it is the first in the order of operations* f(19)=115-6
*Now just subtract* f(19)= 109
Find the second term “t2” of the recursive function described below tn= tn-1-tn-2 t8=20 t6 =13
Answer:
The second term is, t₂ = 20.
Step-by-step explanation:
The recursive function described is as follows:
[tex]t_{n}= t_{n-1}-t_{n-2}[/tex]
Given:
[tex]t_{8}=20\\\\t_{6}=13[/tex]
Compute the 7th term as follows:
[tex]t_{8}= t_{7}-t_{6}\\\\t_{7}=t_{8}+t_{6}\\\\t_{7}=20+13\\\\t_{7}=33[/tex]
Compute the 5th term as follows:
[tex]t_{7}= t_{6}-t_{5}\\\\t_{5}=t_{6}-t_{7}\\\\t_{5}=13-33\\\\t_{5}=-20[/tex]
Compute the 4th term as follows:
[tex]t_{6}= t_{5}-t_{4}\\\\t_{4}=t_{5}-t_{6}\\\\t_{4}=-20-13\\\\t_{4}=-33[/tex]
Compute the 3rd term as follows:
[tex]t_{5}= t_{4}-t_{3}\\\\t_{3}=t_{4}-t_{5}\\\\t_{3}=-33+20\\\\t_{3}=-13[/tex]
Compute the 2nd term as follows:
[tex]t_{4}= t_{3}-t_{2}\\\\t_{2}=t_{3}-t_{4}\\\\t_{2}=-13+33\\\\t_{2}=20[/tex]
Thus, the second term is, t₂ = 20.
The temperatures at several times of the day are shown in the coordinate plane below. The xxx-axis represents the number of hours before or after noon. For example, -1−1minus, 1 would represent 11 \text{ a.m.}11 a.m.11, start text, space, a, point, m, point, end text The yyy-axis represents the temperature in degrees Celsius. At 5 \text{ p.m.}5 p.m.5, start text, space, p, point, m, point, end text, the temperature is halfway between the temperature at 2 \text{ p.m.}2 p.m.2, start text, space, p, point, m, point, end text and the temperature at 8 \text{ p.m.}8 p.m.8, start text, space, p, point, m, point, end text What coordinates represent the temperature at 5 \text{ p.m.}5 p.m.5, start text, space, p, point, m, point, end text ?
Answer:
5,2
Step-by-step explanation:
Answer:
5, 2
Step-by-step explanation:
Follow me, please
Btw mark as brainliest so I can get to Virtusio
Peace out!
<3
how do you solve for 14x+11x+10=85
Answer:
combine like terms i think
Step-by-step explanation:
Answer:
First, add the like terms (14x +11x), which equals 25x.
25x+10=85
25(3)+10=85
X=3
Step-by-step explanation:
co efficient of x^2 in (2-x) (5-3x) (1-7x)
Answer:
+ 80
Step-by-step explanation:
Given
(2 - x)(5 - 3x)(1 - 7x) ← expand the first two factors using FOIL
= (10 - 11x + 3x²)(1 - 7x)
Each term in the second factor is multiplied by each term in the first factor
= 10(1 - 7x) - 11x(1 - 7x) + 3x²(1 - 7x) ← distribute the 3 parenthesis
= 10 - 70x - 11x + 77x² + 3x² - 21x³ ← collect like terms
= - 21x³ + 80x² - 81x + 10
The coefficient of the x² term is + 80
A shirt regularly priced at $36.00 was on sale for 25% off.
What was the sale price?
A. $9.00
B. $24.00
C. $27.00
D. $48.00
E. None correct
Answer:
C
Step-by-step explanation:
find out the 35% OF 36.00
36x35%=9
36-9=27
Using factor theorem, factorize: x3 - 6x2 + 3x + 10
Factor the polynomial using the rational roots theorem (x+1) (x−5) (x−2)