Carlos cycles for 2 hours at a fast speed, then cycles for 3 more hours at a speed 10 km/h slower than this. If the entire distance travelled is 90 km, find Carlos’ speed in the first two hours of travel.
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.
Practice A:
(first taught ir
lesson 14)
400 has how many 3/4 in it? Make sure your
answer is fully reduced.
Answer:
The answer is
→ 533.333333333 or 533.33 (Rounded up to the hundredths)
Step-by-step explanation:
Given: How many 3/4 can fit in 400.
Solve:Step 1: Indentify what 3/4 equals.
3/4 = 0.75
Step 2: Divide 400 by 0.75
400 / 0.75 = 533.333333333
Step 3: Round up to the hundredths.
533.333333333 → 533.33
Hence, 533.333333333 or 533.33 is your answer.
- ✨7272033Alt✨2x + 3y = 13
y = 3x + 8
Step-by-step explanation:
2x+3(3x+8)=13 y=3x+8
2x+9x+24=13 y=3(-1)+8
11x+24=13 y= -3+8 =8-3
11x=13-24 y=5
11x/11= -11/11
x= -1
Pls help me with this
Step-by-step explanation:
a)
clearly, A and B are mirrored images of each other around the x-axis.
and the equation of the x-axis is simply
y = 0
b)
this is trickier.
first of all, the mirror line is now vertical and not horizontal.
and where is it ? of course, in the middle between A and B.
how many units are there between A and B ?
I am counting 5. so, the middle between them is 2.5 units.
so, let's go e.g. from A 2.5 units to the right (in the direction of B).
where do we end up ? at x = 0.5
and that is also the equation of the vertical line there.
again
x = 0.5
pls help. i don't like math
Answer:
X = 5 3/8 (5 and 3 eighths)
Step-by-step explanation:
4/5x = 5 1/5 - 9/10
4/5x = 43/10
x=43/8
x= 5 3/8
Answer:
Exact Form: x=43/8
Decimal Form: 5.375
Mixed number form: x= 5 and 3/8
Step-by-step explanation: here is the steps
Help!!! need the answer asap
Only question 6 please!!
Explanation:
The concept of the additive inverse is that we add some number x, with its opposite -x, to get 0. The two items cancel each other out.
[tex]x + (-x) = 0\\ \text{or}\\-x+x = 0[/tex]
In this case, [tex]x = \sqrt{3}[/tex]
-2a
0b
-2
× -5b
4
× -b
Answer:
Step-by-step explanation:
Army DA administrative publications and forms by the Army Publishing Directorate APD. The latest technologies high quality electronic pubs and forms view ...
How many solutions does this equation have?
4h + 2 = 2 + 4h
should be 4
Step-by-step explanation:
Write an expression that is equivalent to 4(x + 1) - 7 (x + 3)
Answer:
-3x-17
Step-by-step explanation:
We need to expand this term by multiplying a term and an expression.
The following product distributive property will be used:
.
In our example, the resulting expression will consist of 2 terms:
the first term is a product of and .
the second term is a product of and .
Therefore, one expression that is equivalent to 4(x + 1) - 7(x + 3) is -3x - 17.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
What is 2+6 100 points the answer is 8 right?
Answer:
yes it is 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
8
Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.
1. The value of the bond with a market interest rate of 8% is $1,159.71.
2. The value of the bond with a market interest rate of 15% is $899.44.
3. The new value of the bond after 2 years with market interest rate of 8% is $1,103.08.
4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.
Data and Calculations:
N (# of periods) = 5 years
I/Y (Interest per year) = (A) 8% or (B) 15%
PMT (Periodic Payment) = $120
FV (Future Value) = $1,000
Results
PV = $1,159.71 and $899.44 for (B)
Schedule at 8% interest rate
Period PV PMT Interest FV
1 $1,159.71 $120.00 $92.78 $1,132.49
2 $1,132.49 $120.00 $90.60 $1,103.08
3 $1,103.08 $120.00 $88.25 $1,071.33
4 $1,071.33 $120.00 $85.71 $1,037.04
5 $1,037.04 $120.00 $82.96 $1,000.00
Schedule at 15% interest rate
Period PV PMT Interest FV
1 $899.44 $120.00 $134.92 $914.35
2 $914.35 $120.00 $137.15 $931.50
3 $931.50 $120.00 $139.73 $951.23
4 $951.23 $120.00 $142.68 $973.91
5 $973.91 $120.00 $146.09 $1,000.00
Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123
y + 4= -6
Find the slope and the Y-intercept of the graph of this equation
y=2x squared +4x-1 . help me
Answer:
y = 9/8 for part one of solving y in this equation .
Step-by-step explanation:
Answer:
x= (√2y+6/2)-1
Step-by-step explanation:
Swap sides so that all variable terms are on the left hand side.
2x^2+4x−1=y
Subtract y from both sides.
2x^2 +4x−1−y=0
Using quadratics formula:
x=-4±√4²-4*2(y-1)/2*2
x= −4±2√ 2y+6/4
Next solve the equation by using either ± = subtraction or addition
I am using ± = addition. This means I add -4 to 2. From there I simplify equation.
x= (√2y+6/2)-1
Not sure if this means to find x, but I think this is what it would be.
Find the x and y-intercepts of y= 2/5x-12
1. Classify the following polynomials as monomial, binomial trinomial and polynomial.
i) 7ab – 5a
Answer:
it's binomial...............................
Muhammad needs at least 6 feet of yarn to make a scarf. If Muhammad has 2 yards and 3 inches of yarn, and there are 3 feet or 36 inches in 1 yard, will he be able to make a scarf?
Answer:
Muhammad will be able to make the scarf
Step-by-step explanation:
If he needs 6 feet of yarn and he has got 2 yards witch are 3 feet each multiply 3 feet by 2 and you get 6 yards and then add the 3 inches left, he's got 6 feet 3 inches
a cylinder has a radius of 3 feet and a height of 2.1 feet. what is the approximate volume of the cylinder? use 3.14 for pi. 12.6 ftł 59.3 ftł 237.5 ftł 8550.2 ftł
Answer:
59.3ft³
Step-by-step explanation:
The formula for the volume of a cylinder is V= πr²h, where r is radius and h height.
So in our case, we have r= 3ft and h=2.1 ft and π≅3.14
So from the formula for the volume of a cylinder, we get 3.14*3²*2.1 = 59.3 ft³
The volume of the cylinder is about 59.3 ft³
10^5 =
easy question
[tex] \: \: \: [/tex]
[tex] \pink{100000}[/tex]
step-by-step explanation
[tex] {10}^{5} [/tex]
write the exponentiation as a multiplication[tex]10 \times 10 \times 10 \times 10 \times 10[/tex]
multiply the number[tex] = \pink{100000}[/tex]
hope it helps
Answer:
The solution is 100.000
Step-by-step explanation:
10⁵
= 10×10×10×10×10
= 100×10×10×10
= 1.000×10×10
= 10.000×10
= 100.000
Use the standard algorithm to solve 4,761 ÷ 23 = ________.
Answer: 207 Remainder 0
Step-by-step explanation:
what type of solution results in exactly one
x and one y value?
Answer:
An independent system of equations
I need help with this question
Answer:
2√14m
Step-by-step explanation:
Hypothenus = 9m
Second side = x
third side = 5m
Using Pythagoras theorem
9² = x² + 5²
81 = x² + 25
x² = 81 - 25
x² = 56
x = √56
= √4 × √ 14
= 2√14m
the picture is there
Answer:
Step-by-step explanation:
Because CB = 6 cm, we can find CD
Use Triangle CDB.
<BCD = <BCA - <ACD
<BCD = ?
<BCA = 90
<ACD = 60
<BCD = 90 - 60
<BCD = 30
Cos 30 = CD / CB
CD = Cos(30) * BC
CD = 5.196 cm
<A = 90 - ACD
<ACD = 60
<A = 90 - 60
<A = 30
Sin(<A) = CB / AB
AB = CB / sin(<A)
AB = 6 / 0.5
AB = 12
Area =1/2 CD * AB
Area = 1/2 * 5.196 * 12
Area = 31.18
Ed is on a road trip. He has already traveled 226 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles?
Answer:
[tex]\purple{\rule{1000pt}{900000pt}} [/tex]
The equation is
[tex]\\ \sf{:}\Rrightarrow 66x+226=639[/tex]
[tex]\\ \sf{:}\Rrightarrow 66x=413[/tex]
[tex]\\ \sf{:}\Rrightarrow x\approx 6[/tex]
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
f(2)=3(x+6)2 - 75
B
f(x) = 3x2 + 36x +33
f(x) = 3(x + 1)(x +11)
Write one of the zeros.
T =
Answer:
c
Step-by-step explanation:
Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for you conclusions. sequence1: 1/2, 7/6, 11/6, 5/2
The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence
The given sequence is:
[tex]\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........[/tex]
A sequence is an arithmetic sequence if it has a common difference d
In the given sequence:
[tex]T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}[/tex]
[tex]T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}[/tex]
Since the sequence has a common difference of 2/3, it is an arithmetic sequence
Learn more on sequence here: https://brainly.com/question/25935727
help pleasee
on the image
with the steps.
Answer:
an = 22 -6(n -1)
Step-by-step explanation:
The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d
The third term will be ...
a3 = 10 = 22 +d(3 -1)
Then the common difference is ...
10 -22 = 2d
-12/2 = d = -6
__
Putting the known values into the formula for the general term, it becomes ...
an = 22 -6(n -1)
__
This can be simplified to ...
an = 28 -6n
help please anybody hmm
Answer:
Step-by-step explanation:
The answer would be 6 because you would count the distance like it says!
Find the values of the variable and the lengths of the sides.
Answer:
See answers below
Step-by-step explanation:
2x - 7 = x + 1 sides are equal
x - 7 = 1
x = 8
Find the length of each side
AD = 2x -7 BC = x + 1 AB = 2x - 2 DC = x - 1
AD = 2(8) - 7 BC = 8 + 1 AB = 2(8) - 2 DC = 8 - 1
AD = 16 - 7 BC = 9 AB = 16 - 2 DC = 7
AD = 9 AB = 14
what label would not be appropriate for volume
someone help me with this still im stock on it plz
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8