Answer:
Step-by-step explanation:
The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.
The whole journey took him 1hr.
Let S denotes the average speed (in km/hr) for the first 40 km.
Hence we get the following relation,
40/S + (90 - 40)/(S + 20) = 1
or 50/(S + 20) = 1 - 40/S = (S - 40)/S
or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0
or S = 80 (km/hr) [Ans]
[S cannot be negative value]
Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.
Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.
1/2(12w+8)-1/8(10w-5) This confuses me very much pls help
Answer:
3 8 + 3 7 divided by 8
Step-by-step explanation:
10 points
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?
Answer:
135
Step-by-step explanation:
27 x 5 =135
A phone company charges $25.00 a month for 500 minutes.
Every minute over 500 cost $0.75. If a customer uses 530
minutes how much will their monthly bill amount to?
Answer:
$47.50
Step-by-step explanation:
75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50
Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51
[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]
Solve for x
x+0.15x=3.45
Answer:
thanks for the points new comer you will get use to it
Can somebody please help me and tell me how did you get the answer please thank you!!!
Answer:
10
Step-by-step explanation:
(6x-5)+(12x+5)=180
18x=180
x=10
6 * 2 /( -1)4* 5-(8+3)
Answer:
−251
Step-by-step explanation:
Answer:
6 x 2 / (-1) x 5 - (8 + 3)
6 x 2 / (-1) x 5 - 11
12 / -1 x 5 - 11
-12 x 5 -11
-60 - 11
-71
Step-by-step explanation:
hope this helped if not then i am sorry good luck
If 5mi ≈ 8km, how many miles would be equal to 50 km
Answer:
Too tired to go into detail so I just showed steps
Step-by-step explanation:
5mi = 8km ~~ Original
5/8mi = 1km ~~ Get 1km isolated
250/8mi = 50km ~~ Get 50km now
What is Integration ?
Answer:
Integration is the act of bringing together smaller components into a single system that functions as one. These links usually are established between the components of the process and control layer of each system to promote the free flow of data across systems.
Answer:
Integration is the action or process of integrating.
Step-by-step explanation:
[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly
HELP pleaseeeeeeeeee
Answer:
Or is separate
And is together
Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile
Answer:
117 units
Step-by-step explanation:
I need help please! It’s due tonight and I don’t know.
Answer:
i think the first question is yes and the second one is no
Step-by-step explanation:
PLS HELP AMSWER ANYONE PLS ILL GIVE BRAINLKEST THANKS
Answer:
5. w ≠ 8
Step-by-step explanation:
#1 is the expression for "The amount of water is greater than eight ounces." This technically means it differs from eight ounces, but it's too specific for what the question is asking.
#2 is the expression for "The amount of water is greater than or equal to eight ounces." It doesn't necessarily differ from eight ounces.
#3 is the expression for "The amount of water is less than eight ounces." Same issue as #1.
#4 is the expression for "The amount of water is greater than eight ounces." Same issue as #2.
#5 is the expression for "The amount of water is not equal to eight ounces." This is the correct expression as the only information we know is that it's not eight ounces.
hidden valley motel 32 feet long
write 28 + 24 as a product of two factors using the greatest common factor and the distributive property
Answer:
4 * 13
Step-by-step explanation:
Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.
85% of 540 = 30% of C
Answer:
C = 1530
Step-by-step explanation:
85% of 540 = 30% of C
0.85 * 540 = 0.3 * C
459/0.3 = 0.3C/0.3
C = 1530
Answer:
c = 1530
Step-by-step explanation:
First, convert the percentages to a decimal.
[tex]85\div100=0.85\\30\div100=0.30[/tex]
In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.
With that, you can write this equation:
[tex]0.85\times540=0.3\times c[/tex]
Now, just solve for c:
[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]
To confirm that:
[tex]0.85\times540=0.30*1530\\459=459[/tex]
Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST
Answer:
83.3
Step-by-step explanation:
Alright so
She can write 500 words per hour
An hour is 60 minutes
500 divided by 6 (because 6x10= 60)
so you get est. 83 words per 10 mins.
To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)
Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?
b) Find the fraction of the watermelon that remains.
Answer:
A) Second, as 3/8 is larger than 1/3.
B) 7/24
Step-by-step explanation:
3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.
9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.
Find the value of X in the following 3x+4=25
The answer is 7
Step-by-step explanation:
subtract 4 from 25 which is 21 than divide by 3 getting x =7
Answer:
x=7
Step-by-step explanation:
3x+4=25
3x=25–4
3x=21
X=21÷3
X=7
Type the missing digit in this number
7,587_64 is divisible by 8.
Answer:
The numbers can be 2,4,6,8,0
Step-by-step explanation:
Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.
Hoped this helped.
the total of this is 297197401415÷842035
Answer:
Approximately 352,951.36
Answer:
Step-by-step explanation:
= 297197401415+842035
= 297198243450
=297197401415/842035
=352951.363
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation:
A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans
Answer:
the answer is 100.
Step-by-step explanation:
divide 1000 by 10
The number of boxes required to hold 1000 cans is 100 bags.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, every Monday each student brings in a bag with 10 cans.
They put 10 bags into a box.
So, number of boxes required to hold 1000 cans
= 1000/10
= 100 bags
Therefore, the number of boxes required to hold 1000 cans is 100 bags.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
every summand of an expression is called a???
Answer:
I think it's called a term.
Hope this helps :)
PLEASE HELP ME FAST IF YOU CAN
Answer:
1. 180°
2. m∠AOB
3. 60° + 90 ° + 30 ° = 180 °
4. x = 15
Step-by-step explanation:
Reason for number 1:
All straight lines are 180°
Reason for number 2:
These angles all add up to 180° and the line with this angle is m∠AOB.
Please see screenshot.
Could someone help?
Answer:
56/100
Step-by-step explanation:
The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.
fill in the blank to make the fractions equivalent. 1/2 ?/10
Answer:
5/10
Step-by-step explanation:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
5/10
Answer:
5
Step-by-step explanation
multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10
Solve the system by substitution
y=-8x -24
y=-4x
Answer: 8
Step-by-step explanation:
plug y into the first equation:
8x+5y=24
8x+5(-4x)=24
8x-20x=24
-12x=24
x=-24/12
x=-2
then plug x to the second equation
y=-4
y=-4(-2)
y=8
x=-2
y=8
Answer:
(- 6, 24 )
Step-by-step explanation:
y = - 8x - 24 → (1)
y = - 4x → (2)
Substitute y = - 4x into (1)
- 4x = - 8x - 24 ( add 8x to both sides )
4x = - 24 ( divide both sides by 4 )
x = - 6
Substitute x = - 6 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 4(- 6) = 24
solution is (- 6, 24 )