Given:
Jan and Julie started their ride at 09:30 and finished at 15:15.
Stopped for a drink = 20 minutes
Lunch = 45 minute
Rest = 10 minutes
To find:
Time they are riding on their bikes (excluding stops).
Solution:
Jan and Julie started their ride at 09:30 and finished at 15:15.
So, total time of ride including stops is 5 hours 45 minutes or we can say 345 minutes calculated as
[tex]30+60+60+60+60+60+15=345\text{ minutes}[/tex]
We need subtract Drink, lunch and rest time from the total time to get the Time they are riding on their bikes (excluding stops) is
[tex]345-20-45-10=270 \text{ minutes}[/tex]
Therefore, the total time they are riding on their bikes (excluding stops) is 270 minutes.
Find the value of a for which the solution of the inequality is all real numbers
a(x + 3) < 5x + 15 - X
Answer:
x = 3
Step-by-step explanation:
(3 • (5x - 15)) - 15 • (x - 3) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
5x - 15 = 5 • (x - 3)
Equation at the end of step
3
:
15 • (x - 3) - 15 • (x - 3) = 0
STEP
4
:
Pulling out like terms
4.1 Pull out 15
Pulling out like terms :
4.2 Pull out x-3
After pulling out, we are left with :
15 • x-3 • ( 1 * 1 +( (-1) * (-1) ))
Equation at the end of step
4
:
30 • (x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 30 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
One solution was found :
x = 3
The required value of a for which the solution of the inequality is all real numbers is a > 4.
What is inequality?
A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
a(x + 3) < 5x + 15 - x
or, a(x + 3) < 4x + 15
Now let us solve for x first,
⇒ ax + 3a < 4x + 15
Subtract 3a from both sides we get,
ax < 4x + 15 - 3a
Subtract 4x from both sides we get,
ax - 4x < 15 - 3a
or, (a - 4)x < 15 - 3a
Dividing both the side by (a - 4) we get,
x < (15 - 3a) / (a - 4)
Now for solutions to be real numbers,
a - 4 > 0
subtracting 4 both the side we get,
⇒ a > 4
this is the required value of a for which the solution of the inequality is all real numbers
Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.
To learn more about inequality :
https://brainly.com/question/13363104
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x3 = 0.008 what does the x equal
Complete the statement relating solutions and roote
Select three ratios that are equivalent to 8:58,
Choose 3 answers:
(Choice A)
A
16:10
(Choice B)
B
50:80
(Choice C)
C
48:30
(Choice D)
D
32:20
(Choice E)
E
64:35
Answer:
Step-by-step explanation:
Given expression:
The ratio equivalent to 8:58
let us first reduce this ratio to the simplest term:
Divide by 2;
4 : 29
A. 16: 10
Reduce to the simplest term by dividing by 2;
4 : 5
B . 50:80
Reduce to the simplest term by dividing by 10;
5 : 8
C. 48 : 30
Reduce to the simplest term by dividing by 6:
8 : 5
D. 32 : 20
Divide through by 4;
8 : 5
E. 64 : 35
Cannot be further simplified
If x is 6, then 7x =
Answer:42
Step-by-step explanation: You have to multiply 7 per 6 and so the result will be 42.
if you answer this question your cool
Answer:
D. 40
Step-by-step explanation:
Triangles add up to 180 degrees so...
110 + 30 + x = 180
140 + x = 180
x = 40
Yeah Ik!
You're cool too!
Plsssss help!!! Brainliest....
Answer:
yous welcome
Step-by-step explanation:
6. is 2
7. is 1
8. is 100
plesse answer this question
Answer:
number 2......................
Simplify√16 r6
A) 4r2
B) 4r3
C) 8r2
D) 8r3
Answer:
B) [tex]4r^{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{16r^{6}}=\sqrt{4*4* r^{(3*2)}\\[/tex]
[tex]=\sqrt{4^{2}*(r^{3})^{2}}\\\\=4*r^{3}\\\\=4r^{3}[/tex]
Answer:
B) 4r3
Step-by-step explanation:
Hope this helps.
HELP ME I NEED HELP EASY 10 POINTS
Answer:
X = 14
give me brainliest please
Step-by-step explanation:
3x + 29 = 7x - 27
3x + 56 = 7x
56 = 4x
x = 14
The United States Capitol is
located at (2, 4) on a coordinate grid. The White
House is located at (-10, 16) on the same coordinate
grid. Find two different points on a segment joining
the United States Capital and the White House such
that the ratio of the two shorter segments created by
each point is 1:3.
Answer:
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Step-by-step explanation:
At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:
[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)
Where:
[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.
[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.
If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:
[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]
[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]
[tex]\overrightarrow{AB} = (-12,12)[/tex]
Besides, we can find the location of any point inside the line segment by using the following vectorial equation:
[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)
Where:
[tex]r[/tex] - Segment factor, dimensionless.
[tex]\vec C[/tex] - Location of resulting point, dimensionless.
There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:
[tex]r_{1} = \frac{1}{4}[/tex]
[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]
[tex]\vec C_{1} =(-1,7)[/tex]
[tex]r_{2} = \frac{3}{4}[/tex]
[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]
[tex]\vec C_{2} = (-7,13)[/tex]
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Chad sells custom T-shirts with five friends. They want to make enough money so that, after splitting the earnings evenly, each person earns 40
Answer: They earned 500 bucks in total
Answer:
They want to make 200 dollars
Step-by-step explanation:
40*5=200
Which expression is equivalent?
- 5(2x -3y +4)
Answer:
A
Step-by-step explanation:
How much cents are in 12 quarterS answer fast!!!!
Answer: 300 cents or 3 dollars
Step-by-step explanation: 12x25=300.
Answer:
300 CENTS
Step-by-step explanation:
hope this helps
Write the explicit formula for the arithmetic sequence 6, 8, 10, 12, . . . What is term number 46 in this sequence?
Answer:
Answer:
102
Step-by-step explanation:
What is 4÷3/5 Options:6 6 2/5 6 2/3 8
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
your 6 1/4 - year investment of 40,000 at 14% compounded quarterly is worth how much now?
Answer:
The investment of $40,000 is worth $94,529.80 now
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
To calculate the final amount we use:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.
Applying the formula:
[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]
[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]
A=$94,529.80
The investment of $40,000 is worth $94,529.80 now
5% of 59 is what number?
Answer:
2.95
Step-by-step explanation:
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
2.95
5 x 59
-----------
100
= 2.95
Question 4
Which of the following statements is true (read each carefully!):
.
The square root of 30 is between 6 and 7.
• The square root of 41 is between 5 and 6.
The square root of 14 is between 3 and 4.
• The square root of 27 is between 14 and 15.
Answer:
The square root of 14 is between 3 and 4.
Step-by-step explanation:
The answer would be that because the square root of 14 is 3.74165738677. HOPE THIS HELPS! CAN I HAVE BRAINLIEST?!
What is the value of x in the equation 8+4 = 2(x-1)?
5
11
2
13
2.
7
Answer:
x = 7
Step-by-step explanation:
HELP ASAP!!!!! I’ll give u brainlest
Answer:
first one (382,000)
Step-by-step explanation:
just multiply by 10^5
Answer:
382000
Step-by-step explanation:
3.82*100*1000=382*1000=382000
Spoopy doopy doo ill ask a question and first, to get correct I will give the brainiest.
Tim has 789 Oreos Jon has 2x more Oreos than Tim, Pops has 4 times more than Jon how many Oreos does everyone has altogether? ASAP or I won't give brainiest.
4,734 is the answer because I used my calculator XD
Step-by-step explanation:
8679 easy equation all u gotta do is multiply 789 times 2 then take that number and multiply it by 4 and add all the numbers u got up
is 1,2 a function?
If it’s correct I will cashapp you :))
Answer:
yes
Step-by-step explanation:
Since there is one value of y for every value of x, this relation is a function.
The relation is a function.
What is the sum of zeros in this equation (m-10)(8m-1)=0? Enter your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP
Answer:
Step-by-step explanation:
m-10=0
m = 10
8m-1=0
8m=1
m=1/8
Question 4(Multiple Choice Worth 3 points)
(03.01)
Which of the sums below can be expressed as 8(2 + 7)?
O2 +56
O 10 + 15
O 16 + 7
O 16 + 56
Answer:
16+56
Step-by-step explanation:
8(2 + 7)
=8*2+8*7
16+56
I really need the answer to this plzzzzzz
Answer:
it may be c but im not usre
Step-by-step explanation:
Suppose it was –5 degrees Celsius at 6:00 a.m. By noon, the temperature had Increased by 11 degrees. What was the temperature at noon?
Answer:
6
Step-by-step explanation:
11 - -5 = 6
The temperature at noon is 6 degrees Celsius.
GivenSuppose it was -5 degrees Celsius at 6:00 a.m.
By noon, the temperature had increased by 11 degrees.
What is temperature?Temperature declines as altitude increases.
The temperature at noon is calculated by adding the morning temperature and temperature in the afternoon.
The temperature in noon = temperature at 6;00 a.m. + increase in temperature in afternoon.
The temperature in noon = -5 + 11
The temperature in noon = 6 degrees.
Hence, the temperature at noon is 6 degrees Celsius.
To know more about Temperature click the link given below.
https://brainly.com/question/22618350
6x + 1 = 6x - 8 what is the value of x
Answer:
No solution
Step-by-step explanation:
6x + 1 = 6x - 8
-6x -6x
1 ≠ -8
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
A. 121
B. 7
C. 1.75
D. 30.25
Select the correct answer.
The formula for the voltage, V, of an electrical current is V = VPR, where Pis the power measured in watts and Ris the resistance measured
In ohms.
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
OA. 0.225 watts
OB. 0.60 watts
Ос.
3.6 watts
OD
16.7 watts
I don't know the correct answer but I know its not 0.60 watts
Answer:
it is 3.6 watts
Step-by-step explanation:
there is no explanation but if needed proof i will try to post a picture of it