Answer:
f=24km/h
Step-by-step explanation:
Alright, here's what we know.
He travels 2 hours at a fast speed, lets call that speed f km/h
He then travels 3 hours at (f-10) km/h
In these 5 hours, he travels 90km
So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.
So we have:
[tex]v=\frac{d}{t}[/tex]
d and t are given to us as 90 and 5 respectively
v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.
[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]
2f+3f−30=90 by cancelling the 5's in the denominator and expanding 3(f−10)
5f=120
f=24km/h
So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.
what is parallelogram?
Answer:
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
Step-by-step explanation:
rút gọn (x-4) (x-3) -x(x+5) +82
Answer:
-12x + 94
Step-by-step explanation:
Simplify:
[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x^2-5x+82[/tex]
[tex]=x^2-x^2-7x-5x+12+82[/tex]
[tex]=-7x-5x+12+82[/tex]
[tex]=-7x-5x+94[/tex]
[tex]=-12x+94[/tex]
How do I factor this problem?
Answer:
[tex]7x(4x-1)[/tex]
Step-by-step explanation:
First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.
Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.
Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:
[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]
Another example of what I said above would be this:
Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.
[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]
plz help answer will mark brainiest
Answer:
4/3 litres of water is enough to water 2/5 of the plants
Assuming the number of plants in the house is an unknown variable, take the value as x.
Thus, 4/3 litres is enough to water 2x plants in the house.
x = 4/3 ÷ 2
= 2/3 litres
Amount of water for all the plants = 5x = 5 × 2/3
= 10/3 litres
Thus, 10/3 litres of water is necessary to water all the plants in the house.
please help and show work
x=
Answer:
x = 7
Step-by-step explanation:
from the properties of an isosceles triangle, 5x+6 = y-9
so
98+2(5x+6) = 180
98+10x+12 = 180
110+10x = 180
10x = 70
x = 7
Kaya is riding her dirt bike eastward on a dirt road. She spots a pothole ahead. Kaya slows her car from 18.0 m/s to 6.5 m/s in 6.5 s. What is her acceleration?
Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy
The number of soda bottles Katie bought is 6
The given parameters are:
Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99Assume the number of soda bottle is x.
So, we have:
[tex]Total = Pizza + Soda \times x[/tex]
This gives
[tex]23.99 = 14.99 + 1.50\times x[/tex]
Subtract 14.99 from both sides of the equations
[tex]9 = 1.50\times x[/tex]
Divide both sides of the equations by 1.5
[tex]6=x[/tex]
Rewrite the equation as
[tex]x = 6[/tex]
Hence, the number of bottles is 6
Read more about linear equations at:
https://brainly.com/question/14323743
How would you write "there were 3 times as many baby dinosaurs as adult dinosaurs" as an algebraic equation where x = baby dinosaurs and y = adult dinosaurs?
Step-by-step explanation:
x = 3y
or y = x/3
bottom line : there are three times as many x as there are y. or the number of y is 1/3 of x.
PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between −10 and −4.
Enter the answer into the box
When we use the number line, we need to count forward from -10.
-9,-8,-7,-6,-5,-4Conclusion:Therefore, the distance between -9 and -4 is 6 units.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
What is the difference between log(x/y) and log(x)/log(y)?
(9,11)(9,3) find the slope and explain
please
Answer:
0
Step-by-step explanation:
y2-y1/x2-x1
11-3/9-9
8/0
0
slope=0
Why are scarcity and choice basic economic questions faced by every society?
8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?
Answer:
0
Step-by-step explanation:
Jordan hasn't got enough money to buy any books, as $11.40<$280.
What can readers learn from ""A Flight Through the Sky""?
Readers can learn various information related to an airplane flight.
Fly through the sky is a children's song in which different aspects of an airplane flight are described in a simple and direct way. Some of the aspects that a person can learn by reading the lyrics of the song are:
Technical aspects of flight and aircraft. Its wheels are inflated with air. Its engine runs on fuel. Its wings are made of aluminum. All passengers must wear seat belts during take off.
Learn more about airplane in: https://brainly.com/question/15415980
What is (0,1) and (4,2) in slope intercept form
Answer:
y = 0.25x+1
Step-by-step explanation:
Y= mx+b
m= 0.25
b= 1
hope this helps
It costs $10 to rent a canoe and $5.50 to use the canoe for an hour. You have $21. Write an equation that represents the number h of hours you can rent the canoe.
Answer:
21 = 10 + 5.5h
Step-by-step explanation:
Total cost = initial cost + hourly cost
21 = 10 + hourly cost
hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour
21 = 10 + 5.5h
Answer:
Step-by-step explanation:
$10 + $5.50h ≤ $21
Let h stand for the hours the canoe is rented.
Fixed cost = $10, regardless of h.
$5.50h for the cost of n hours of rental.
Total cost = $10 + $5.50h
The total cannot exceed $21, legally.
So we should write:
$10 + $5.50h ≤ $21
If $10 + $5.50h ≥ $21 then ║║║║║║║
Find the value of r in the isosceles triangle shown below.
8
8
6
Answer:
r = 6
.....................
what is the approximate value of a local maximum for the polynomial
Answer:
D) 2.5
Aaliyah- ツ
The art club in Northwestern middle school is selling candy bars as a fundraiser. each art club member....
Please help me
I such at geometry
Suppose a varies jointly as b and c. Find a when b= 4 and c= -4 a= -60 when b= -5 and c= 4
Answer:
b=4
Step-by-step explanation:
13-n + 2n > 8 + 1 Solve the given inequality and graph and solution
because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable
HURRYYYY MATH PEOPLE!!! I ONLY HAVE 3 MINUTES!!!
Answer:
x > -4
Step-by-step explanation:
- 16x < 64
Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)
x > -4
(When dividing or multiplying by a negative the inequality sign flips!)
Hope this helps and have a good day!
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.
Answer:
m = 2, b = 9
Step-by-step explanation:
Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.
Find b by substituting one of the coordinates into the problem.
y = mx + b
1 = 2(-4) + b
1 = -8 + b
9 = b
Question in the picture
Answer:
√85
Step-by-step explanation:
the EM wave emitted by the sun and responsible for heating the Earths atmosphere due to green house effect is
Using HL, are the two triangles congruent? What information would be used? Question 2 options: A) No, the triangles aren't congruent by HL. ∠H ≅ ∠M, ∠N ≅ ∠I, ∠L ≅ ∠J B) Yes, the triangles are congruent by HL. ∠H ≅ ∠M, ≅ C) Yes, the triangles are congruent by HL. ≅ , ≅ D) No, the triangles aren't congruent by HL. ∠N ≅ ∠I, ≅
Answer:
Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ
Step-by-step explanation: I took the test
Answer:
Step-by-step explanation:
j
Solve for x
1. x + 4x = 90
Answer:
First, you combine like terms.
Then, you divide both sides of the equation by the same term.
Next, you simplify.
Lastly, you have your solution, which is x= 18
Step-by-step explanation:
Hope this helps!
a2+b2=
What is the answer
Answer:
(a+b)² - 2ab
Step-by-step explanation:
it is a formula :)