Answer:
1.15 hr
Step-by-step explanation:
Given that:
To get bike fixed :
Speed = 3 miles per hour
Distance = 1.5 miles
Time taken = distance / speed
Time taken = 1.5 / 3 = 0.5 hour
Waiting time for repair = 30 minutes = 0.5 hours
Return home :
Speed = 10 miles per hour
Distance = 1.5 miles
Time taken = distance / speed
Time taken = 1.5 / 10 = 0.15 hour
Total time : (0.5 + 0.5 + 0.15) = 1.15 hr
Twice a number increased by 1 is -11. Find the number.
Answer:
x=-6
Step-by-step explanation:
Twice mean multiply by 2
and twice a number is 2x (If you let x be the "number")
increase means adding by
increase by 1 is adding by 1
Is means =
is -11 is
=-11
now that we have all the things we add it up
Wice a number increased by 1 is -11:
2x+1=-11
Now you move the 1 to the other side by subtracting by 1 on both sides:
2x+1-1=-11-1
Simplify:
2x=-12
divide both sides by 2:
x=-6
Hope this helps!
A bookshop had 650 copies of a book for sale. The books were marked at 75 per copy in order to make a profit of 30%. A bookseller bought 300 copies at 5% discount. If the remaining copies sold at 75 each, calculate the percentage profit of the bookshop will make on the whole
Answer:
The percentage profit of the bookshop will make on the whole is 27%.
Step-by-step explanation:
The following are given in the question:
Copies of books for sale = 650
Selling price per copy = 75
Copies sold at 5% discount = 300
Discount rate = 5%, or 0.05
Percentage profit per copy = 30%, or 0.30
To calculate cost per copy, the following formula is used:
Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)
Substituting the values into equation (1) and solve for Cost per copy, we have:
30% = (75 - Cost per copy) / Cost per copy
0.30 * Cost per copy = 75 - Cost per copy
(0.30 * Cost per copy) + Cost per copy = 75
1.30 * Cost per copy = 75
Cost per copy = 75 / 1.30
Cost per copy = 57.6923076923077
Therefore, we have:
Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500
Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25
Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375
Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250
Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625
Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125
To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:
Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)
Substituting the relevant values form above into equation (2), we have:
Percentage profit on the whole = (10,125 / 37,500) * 100
Percentage profit on the whole = 0.27 * 100
Percentage profit on the whole = 27%
Therefore, the percentage profit of the bookshop will make on the whole is 27%.
Brainliest!! What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?
Answer:
the answer is b
Step-by-step explanation:
Expand and simplify (x + 3)(x-4)
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
I need help on the first question please will mark brainiest
Answer:
D. [tex]2^{18}[/tex]
Step-by-step explanation:
The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]
For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:
6 * 3 = 18
Now the expression looks like this: [tex]2^{18}[/tex] * [tex]2^{0}[/tex]
Any number to the power of zero is 1.
So the equation now looks like this: [tex]2^{18}[/tex] * 1
After you multiply the two terms, you end up with [tex]2^{18}[/tex].
Answer:
The answer is D 2^18
Step-by-step explanation:
Solve for x
4x + 8 = 6x – 1
Answer:
x = 9/2
Step-by-step explanation:
4x + 8 = 6x - 1
4x - 6x = - 1 - 8
-2x = -9
2x = 9
x = 9÷2
x = 9/2
-TheUnknownScientist
Circle Q has a circumference of approximately 50 centimeters. Circle Q with diameter d is shown. What is the approximate length of the diameter, d? Use 3.14 for . Round to the nearest tenth of a centimeter. 4.0 centimeters 8.0 centimeters 15.9 centimeters 31.8 centimeters
Answer:
C: 15.9cm
Step-by-step explanation:
d= circumference/π
= 50/3.14
=15.9 cm
Answer:
c
Step-by-step explanation:
on edge 2020
Please help! Thanks!!
Answer:
a) Equation is: 3x+4=22
b) Solving the equation we get the number x = 6
Step-by-step explanation:
a) Equation
Let the number be x.
Translating the statement into mathematical form:
Multiply the number with 3 i.e 3x
Add four i.e 3x+4
I get twenty two means: 3x+4=22
So, Equation is: 3x+4=22
b) Solve the equation:
3x+4=22
subtracting 4 on both sides
[tex]3x+4=22\\3x+4-4=22-4\\3x=18[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{18}{3}\\x=6[/tex]
So, the number x = 6
Question 2015
4
Rewrite
1
3
as a unit rate.
O A. 2:1
O B. 12:1
O C. 12:6
D. 2:9
What is the answer?
Answer:
i think it's c
Step-by-step explanation:
12:6 can be done as 4:12 also saying 1:3
James has $120 in his savings account and
plans to save $x each month for 6 months.
The expression $6x + $120 represents the
total amount in the account after 6 months.
Factor the expression 6x + 120.
Answer:
6(x + 20)
Step-by-step explanation:
you need to divide both numbers by six.
I recommend downloading photomath for a more detailed explanation and for help with math in the future.
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?
Answer:
The possible graph is "A". A further explanation is given below.
Step-by-step explanation:
The given values are:
Dominick spends on running
= 0.70 hours
He spends on swimming
= 1.5 hours
This week,
Dominick spends more than six hours.
If,
Number of runs be "x".
Number of swimming be "y".
then,
⇒ [tex]0.75x+1.5y>6[/tex]
⇒ [tex]75x+150y>600[/tex]
⇒ [tex]x+2y>8[/tex]
Therefore, [tex]x+2y=8[/tex]
x = 0
y = 4
So the above is the correct answer.
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
Please help me with this question! :)
Answer:
adding 5 tiles each time
what can u hold in ur right hand but not ur left????
Answer:
a fork
Step-by-step explanation:
Answer:
your right elbow
Step-by-step explanation:
Rearrange the equation y = 4x – 5 to find x in terms of y.
We have:
y = 4x - 5
Lets add 5 in each member:
y + 5 = 4x - 5 + 5
y + 5 = 4x
Divide the entire equation by 4:
[tex]\dfrac{y+5}{4} = \dfrac{4x}{4}\\\\\dfrac{y+5}{4} = x\\\\x = \dfrac{y+5}{4}\\\\\boxed{x = \dfrac{y}{4} + \dfrac{5}{4}}[/tex]
Evaluate the logarithm.
log9(1/81)
a. 2
b. -2
The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.
Given that,
The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].
Used the formula of logarithmic functions that are,
[tex]log (m^n) = n log m[/tex]
And, [tex]log_a (a) = 1[/tex]
Now, simplify the given logarithmic functions by using the above formula,
[tex]log_9 ( \dfrac{1}{81} )[/tex]
[tex]log_9 ( 81 )^{-1}[/tex]
[tex]log_9 ( 9^2)^{-1}[/tex]
[tex]log_9 ( 9)^{2 \times -1}[/tex]
[tex]log_9 ( 9)^{-2}[/tex]
Apply the formula [tex]log (m^n) = n log m[/tex],
[tex]- 2 log _ 9 (9)[/tex]
Since, [tex]log_a (a) = 1[/tex]
Hence, it can be written as,
[tex]- 2 log _ 9 (9)[/tex]
[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]
Therefore, the solution is,
[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]
To learn more about logarithms visit:
brainly.com/question/30085872
#SPJ6
can someone help with explanation what is 2+√12/√27
Answer:
Step-by-step explanation:
If "a" is a solution to the equation 5 + 6a
= 7a-3, then what is the value of 2a?
Answer:
The value of 2a will be: 16
Step-by-step explanation:
Given the equation
[tex]5 + 6a = 7a-3[/tex]
subtract 5 from both sides
[tex]5+6a-5=7a-3-5[/tex]
[tex]6a=7a-8[/tex]
[tex]-a=-8[/tex]
Divide both sides by -1
[tex]\frac{-a}{-1}=\frac{-8}{-1}[/tex]
[tex]a=8[/tex]
As we know that [tex]a=8[/tex] is the solution to the equation.
Hence, the value of 2a will be:
[tex]2a = 2(8)[/tex] ∵ [tex]a=8[/tex]
[tex]= 16[/tex]
Therefore, the value of 2a will be: 16
Please help :( please
Answer:
1. $6.88
2. 16 oz box
3. 5 dollars if u were to buy the 11 pound I think
Step-by-step explanation:
1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88
2. cheaper for more
What value of n makes the equation 4(0.5n-3) =n-0.25(12-8n) true?
Answer:
n = -9Step-by-step explanation:
Given
4(0.5n-3) =n-0.25(12-8n)Solving for n
4(0.5n) - 4(3) = n - 0.25(12) + 0.25(8n)2n - 12 = n - 3 + 2n-12 = n - 3n = 3 - 12n = -9How can you tell if an expression is a monomial , binomial or trinomial?
Answer:
Look at the Latin root. Mono means one, so [tex]2x^{2}[/tex] is an example because it is only made up of one term. Bi means two, so [tex]3x^{3}[/tex]+4 is an example because it was two terms. Tri means three, so there needs to be three terms for it to be a trinomial. [tex]2x^{5}[/tex]-3x+5 is an example of a trinomial because it was three terms within the equation.
I hope this helps!
What is the equation of the line through the origin and (7, 2)?
Answer:
Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]
Step-by-step explanation:
The general form of equation of line is given by:
[tex]y = mx+b[/tex]
When a line passes through origin it has no y-intercept so the equation will become
[tex]y = mx[/tex]
Slope is given by the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
(x1,y1) = (0,0)
(x2,y2) = (7,2)
Putting the values in the formula
[tex]m = \frac{7-0}{2-0} = \frac{7}{2}[/tex]
Putting the value of slope in equation of line
[tex]y = \frac{7}{2}x[/tex]
Hence,
Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]
Answer:
y = 2/7x
Step-by-step explanation:
ap.ex
What is the sales tax on a bicycle that cost $175 with an 8% tax?
$189
Оа
О Б
$161
$14
Od
$140
Answer:
The answer is 161
Step-by-step explanation:
In order to get the answer you ahve to multiply 175 by 0.08 then subtract 14 from 175
someone plz help me i'm so confused
(click on picture)
Answer:
the equation to finding slope is this:
y2-y1 / x2-x1
Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.
5-0 / -2-2
5/-4
-5/4 is the slope
Step-by-step explanation:
Answer:
[tex]m=\frac{-5}{4} \\[/tex] which is the slope.
Step-by-step explanation:
Since we have two points on the line, we can easily calculate the slope.
Point 1 = (-2, 5)
Point 2 = (2, 0)
[tex]m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}[/tex]
Which agency offers the better deal
What is the reason for proving the following triangles congruent?
A. SSS
B. SAS
C. ASA
D. AAS
E. Not congruent
Answer:
i think its c) asa but im not sure
Step-by-step explanation:
2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)
Answer:
y = 70 + 30x
slope 30
y intercept 70
Step-by-step explanation:
Imelda rode her bicycle 39 kilometers. If 1 meter = 1.094 yards, find the distance Imelda rode her bicycle to the nearest mile. (Hint: 1 mi = 1760 yd)
Answer: 24.24 miles
Step-by-step explanation:
We should note that 1000 metres = 1 kilometer.
Imelda rode her bicycle 39 kilometers which will be converted to meters a:
= 39 × 1000
= 39000 meters
Since 1 meter = 1.094 yards
39000 meters = 39000 × 1.094 = 42666 yards
To find find the distance Imelda rode her bicycle to the nearest mile goes thus:
1 mi = 1760 yd
42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles
Answer:
24.24
Step-by-step explanatio i looked at the answer above thank if you
like that
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Complete question is;
In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Answer:
A2 = 1 m²
Step-by-step explanation:
Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;
F1/A1 = F2/A2
We are given;
Force of small piston: F1 = 100 N
Area of small piston; A1 = 0.0020 m²
Force of small piston: F2 = 50000 N
Thus;
Making A2 the subject, we have;
A2 = (F2/F1)A1
A2 = (50000/100) × 0.0020
A2 = 1 m²
plz help cant figure it out