Answer:
a]2.3 hrs
b]3.6hrs
Step-by-step explanation:
4hrs = 12 miles
x = 7miles
4 x 7=28/12=2.3
4 x 11=44/12=3.6hrs
Answer:
Below in bold.
Step-by-step explanation:
His rate of walking = 12/4 = 3 miles per hour.
So the times for 7 and 11 miles are
(a) 7/3 = 2 1/3 hours.
(b) 11/3 = 3 2/3 hours.
II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.
Answer:
A
Step-by-step explanation:
Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain percent
Answer:
His gain percent is 20%
Step-by-step explanation:
In this question, we want to find the percentage gain of the business.
We need the following parameters;
The cost price which is the sum of the amount she bought the goods + the amount spent on transport
Using the values we have in the question;
The cost price will be;
13,600 + 400 = Rs 14,000
The selling price = Rs 16,800
Mathematically the percentage gain will be;
% gain = (selling price- cost price)/selling price * 100%
% gain = (16,800-14,000)/14,000 * 100/1
% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%
Can somebody please help me with this & show work ?? :)
Answer:
s = 116°, q and t are 64°
Step-by-step explanation:
isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64
A student in a statistics class asks students in a long lunch line about their opinions about the school cafeteria. The sample that results is most likely __________________.
A. quota
B. symmetric
C. large
D. biased
Answer:
The correct option is;
D. Biased
Step-by-step explanation:
A sampling method in which the members of the sample are not representative of the population, such that some members of the population have a higher or lower probability within the sample which is indicative that not all members of the population are sampled
A biased sample is a non random sample and the can lead to misleading data conclusion
In the question, the sampling of student opinion about the school cafeteria among students who are on the lunch line and so prefer the school cafeteria leaves out the portion of the population that get their lunch from alternative sources.
Answer:
biased
Step-by-step explanation:
Which algebraic expression represents the phrase below?
five times the sum of a number and eleven, divided by three times the sum of the number and eight
5(x + 11) + 3(x + 8)
5x+11
3X+8
5(X+11)
3(x+8)
5x + 11 + 3x + 8
Answer:
[tex] \frac{5x + 11}{3(x + 8)} [/tex]
Step-by-step explanation:
[tex] \frac{5x + 11}{3(x + 8)} [/tex]
Five times the sum of a number and eleven, divided by three times the sum of the number and eight
Five times the sum= 5(_+_)
a number and eleven= x+11
divided= ÷ or /
3 times the sum of= 3(_+_)
the number and eight.
Together it will be
[tex]the \: \: one \: written \: in \: the \: answering \: section[/tex]
Hope this helps ;) ❤❤❤
please heellllpppp ....
Answer:
x ≈ 2.3 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )
4 × cos55° = x , thus
x ≈ 2.3 cm ( to 1 dec. place )
NEEEED HELPPPPP PLEASEEEEEE Use long division to find the quotient below.
(8x^2 + 4x^2 + 100) - (2x + 5)
Answer:
[tex]4x^2 - 8x + 20[/tex]
Step-by-step explanation:
The correct equation is:
[tex]8x^3 + 4x^2 + 100[/tex]
We want to divide that by (2x + 5)
To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.
When you get to 0, you have reached the end of the division.
Whatever term you get from each step of division is part of the quotient.
Go over the steps above carefully while following them below:
Step 1:
Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].
Step 2
Multiply [tex]4x^2[/tex] by (2x + 5) and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:
[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]
Step 3
Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].
Step 4
Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:
[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100
Step 5
Divide 40x by 2x. You get 20.
Step 6
Multiply 20 by (2x + 5) and subtract from 40x + 100:
40x + 100 - (40x + 100) = 0
From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.
Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]
Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir
bracelets, which are $3.25 each. All prices include taxes.
Which inequality can be used to solve for how many bracelets Omar can buy?
OA.
3.25x + 13.50 < 40
O B.
3.25x + 13.50 > 40
OC.
13.50X+3.25 < 40
OD
13.50x + 3.25 2 40
Answer:
The answer is A- 3.25x + 13.50 < 40
Answer:
13.50X+3.25 < 40
HELP please!!!
Jeanie wants a $100 000 mortgage. She arranged payments for the next 15 years. The bank charges 4.8%/a interest, compounded monthly.
a) how much is each monthly payment
b) how much interest is jeanie paying?
Answer:
in one month : 13676.57/12=1139.71
the interest on 100000 is: 205148.48-100000=105148.48
Step-by-step explanation:
A=P(1+r)^t (p is the mortgage, t is the time and r is the rate)
p=100000,t=15*12 month,r=4.8%( or 0.048)
A=100000(1+0.048/12)^(12*15)
A=205148.48 (the number rounded to the nearest hundredth)
205128.48 is the amount she has to pay it after 15 years
in one year : 205128.48/15=13676.57 ( rounded to nearest hundredth)
in one month : 13676.57/12=1139.71
the interest on 100000 is: 205148.48-100000=105148.48
Explain how to get the volume of this figure
Answer:
350 meters cubed.
Step-by-step explanation:
If you visualize it, there are two rectangular prisms: one flat one on the top, and one large one on the bottom.
The width of the top one is 5 meters. The length is 7 meters. The height is 8 - 5 = 3 meters. So, one prism has a volume of 5m x 7m x 3m.
The width of the bottom one is 7 meters. The length is 7 meters. The height is 5 meters. So, the bottom prism has a volume of 7m x 7m x 5m.
(5 * 7 * 3) + (7 * 7 * 5)
= (35 * 3) + (49 * 5)
= 105 + 245
= 350
So, the volume of the figure is 350 meters cubed.
Hope this helps!
Can someone please help me?
Answer:
( - 1 , - 1 )Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
---------------------
5x = - 5
Divide both sides of the equation by 5
[tex] \frac{5x}{5} = \frac{ - 5}{5} [/tex]
Calculate
[tex]x = - 1[/tex]
Again, Putting the value of x in equation ( ii ) in order t get the value of y
[tex]y = 3x + 2[/tex]
plug the value of x
[tex] = 3 \times ( - 1) + 2[/tex]
Any expression multiplied by ( - 1 ) equals it's opposite
[tex] = - 3 + 2[/tex]
Calculate
[tex] = - 1[/tex]
Therefore, The possible solution of the system is the ordered pair ( x , y )
[tex](x \:, y \: ) = ( - 1 \:, - 1)[/tex]
-----------------------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation
[tex] - 1 = - 2 \times ( - 1) - 3[/tex]
[tex] - 1 = 3 \times ( - 1) + 2[/tex]
Simplify the equation
[tex] - 1 = - 1[/tex]
[tex] - 1 = - 1[/tex]
Since all the equalities are true, the ordered pair is the solution of the system.
( x , y ) = ( - 1 , - 1 )Hope this helps..
Best regards!!
Is 5.7c-1.5+3.2c=7.8c-1.5+1.1c a one solution problem?
Answer:
This is NOT a one solution problem.
Step-by-step explanation:
Group all terms with a c in it to the left of the equal sign, and group all numbers to the right of the equal sign.
5.7c-1.5+3.2c=7.8c-1.5+1.1c
5.7c + 3.2c - 7.8c - 1.1c = - 1.5 + 1.5
8.9c - 8.9c = 0
0 = 0
No matter which number you substitute for c, it will always be true. Since you can find infinity of solutions, this is NOT a one solution problem.
Plz help me the question is in the picture below
Answer:
function 2
Step-by-step explanation:
To do this you would already know that the first function's slope is 1 since r represents the x in slope intercept form. 2 will just be 1/1.1 since if you do y2-y1/x2-x2 you get 1/1.1 as the slope so function 2 will have a greater slope
how to do this question plz answer me step by step plzz plz
Answer: 4cm
Step-by-step explanation:
Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.
Before being turned over the milk volume is:
5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).
Therefore the volume of the milk once turned over is 480
When on it's side, the volume of the milk equals
8 * 15 (the base) * depth
120 * depth
120 * depth = 480
so the depth = 4cm
Find the Equation of the Parallel Line
2
of
Instructions: Find the equation of the line through point (-7,2) and parallel to
= x - 1. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 1).
Y=
y =
Answer:
y = 2/5x + 4/5
Step-by-step explanation:
We'll begin by calculating the slope of the equation: y = 2/5x – 1/2
The slope of the above equation can be obtained as follow:
y = mx + c
Where m is the slope.
c is the y-intercept.
y and x are the coordinate.
Comparing:
y = 2/5x – 1/2 with y = mx + c
The slope of y = 2/5x – 1/2 is 2/5.
Now, let us determine the equation parallel to y = 2/5x – 1/2.
This is illustrated below:
The coordinate of the line => (–7, 2)
x1 = –7
y1 = 2
Slope (m) = 2/5 => Since the lines are parallel, their slope are equal.
y – y1 = m (x – x1)
y – 2 = 2/5(x – –7)
y – 2 = 2/5(x + 7)
Clear bracket
y – 2 = 2/5x + 14/5
Rearrange
y = 2/5x + 14/5 + 2
y = 2/5x + 4/5
Therefore, the equation is:
y = 2/5x + 4/5
MATH PLEASE HELP ME. WILL GIVE BRAINLIEST
Answer:
The answer is - 17Step-by-step explanation:
g(x) = 2x³ - 3x + 5
To find g(- 2) substitute the value of - 2 into g(x)
That's
g(- 2) = 2(-2)³ - 3(-2) + 5
= 2(-8) - 3(2) + 5
= - 16 - 6 + 5
= - 17Hope this helps you
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
C
Step-by-step explanation:
Line of symmetry
sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test
Answer: (upside down fancy u) q5
Step-by-step explanation:
Simply apply the law of conservative (upside down fancy u)
Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be?
Answer:
Max would be 4y meters ahead by 4pm
Step-by-step explanation:
What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.
Mathematically, distance = speed * time
The time is just the difference between 12 noon and 4pm which is 4 hours
Let’s tackle Max’s
He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters
Now let’s tackle Sven
Sven is biking at a speed which is y mph less than Max’s x mph
Thus his speed would be (x-y) mph
His distance covered would be 4(x-y) meters
Now the difference between their bikes distance at 4pm would be;
4x - [4(x-y)]
= 4x -(4x -4y)
4x -4x + 4y
= 4y
Hence, Max would be 4y meters ahead by 4pm
Ama has a rectangular garden measuring 12m and 25m.He wants to divide it into square plots of equal sizes .What is the largest sized square he can use?
What is the equation of the line that passes through the point (-6, 6) and has a
slope of
1/3?
Answer:
Using point-slope form we get:
y - 6 = 1/3(x + 6)
y - 6 = 1/3x + 2
y = 1/3x + 8
A science fair poster is a rectangle 48 inches long and 36 inches wide. What is the area of the poster in square feet?
Be sure to include the correct unit in your answer.
Answer:
Whats the formula for the area of a rectangle?
L x W. 48 x 36 = 1728 sq inches.
Then divide by (12 x12 ) = 144 to find square feet
Step-by-step explanation:
solve the equation 2/3x-2=7
Answer: x = 27/2
Step-by-step explanation:
2/3x-2=7
2/3x=9
2/3x=27/3
2/3x(3/2)=27/3(3/2)
x=81/6
x=27/2
Answer: x = 27/2
Step-by-step explanation: In this equation, our first step is to isolate the x term by adding 2 to both sides.
On the left, -2 and +2 cancel out and were left
with 2/3x and on the right, 7 + 2 simplifies 9.
So we have 2/3x = 9.
In order to get x by itself, since it's being multiplied by a fraction,
we multiply both sides of the equation by the reciprocal of that fraction.
The reciprocal of a fraction is just that fraction
flipped so the reciprocal of 2/3 is 3/2.
So we have (3/2)(2/3x) = 9(3/2).
On the left, the 2's cancel and the 3's cancel.
On the right, 9(3/2) is 27/2.
So x = 27/2
The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A. 5(0.06)7 B. 5(7)(0.06) C. 5(1.06)7 D. 5(7)(1.06)
Complete Question:
The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A. 5(0.06)^7 B. 5(7)(0.06) C. 5(1.06)^7 D. 5(7)(1.06)
Answer:
C. 5(1.06)^7
Step-by-step explanation:
The volume of a tree increases by 7% every year
The formula we would be using is
V(t) = Vo (1 + r)t
Where V(t) = Volume after t years
Vo = Present of initial volume
r = rate of increase
t = time
From the question,
V(t) = Volume after t years = unknown
Vo = Present of initial volume = 5m³
r = rate of increase = 6% = 0.06
t = time = 7 in years
V(t) = 5 × ( 1 + 0.06)^ 7
V(t) =(5)(1.06)^7
Therefore, its volume be after 7 years if its volume is 5 cubic meters now is
Option C: (5)(1.06)^7
If c cars can be parked in each of the four main rows of the parking lot, what is the expression gor the maximum number of cars that can be parked in the parking lot?
Answer:
4c
Step-by-step explanation:
We can say that the maximum number of cars can be represented as:
Maximum number of cars = Total of rows × Number of cars per row
In this particular case, we have 4 rows and the number of cars per row is c, thus, the expression above becomes:
Maximum number of cars = 4c
What is the margin of error for 95% confidence for a sample of size 250 where p = 0.45?
A. 0.0541
B. 0.0775
C. 0.0706
D. 0.0617
Answer:
0.0617
Step-by-step explanation:
so the formula is 1.96[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
P is the proportion (.45) and n is the sample size (250). Inserting these into the problem, we get 1.96[tex]\sqrt{\frac{.45(1-.45)}{250} }[/tex]. Solving this out, you should solve the inside of the square root to get .00099. Take the square root of this, and multiply by 1.96 to get your answer!
This method applies to any problems with the same basic format. Good luck!
How many solutions are there to the equation below?
7(x + 2) = 7x-10
O A. Infinitely many
O B. o
O c. 1
Hi there! :)
Answer:
B. 0 solutions.
Step-by-step explanation:
Given the equation 7(x + 2) = 7x - 10
Simplify:
7(x + 2) = 7x - 10
Distribute the 7 with the terms inside of the parenthesis:
7x + 14 = 7x - 10
Subtract "7x" and 14 from both sides:
7x - 7x = -10 - 14
0 ≠ - 24. The equation has no solutions.
Answer:
[tex]\boxed{\sf B. \ 0}[/tex]
Step-by-step explanation:
[tex]\sf 7(x + 2) = 7x-10[/tex]
Expand brackets.
[tex]\sf 7x+14 = 7x-10[/tex]
Subtract 7x and 14 from both sides.
[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]
[tex]\sf 0=-24[/tex]
There are 0 solutions.
In a class Vidya ranks 7th from the top. Divya
is 7 ranks ahead of Medha and 3 ranks
behind Vidya. Sushma who is 4th from the
bottom is 32 ranks behind Medha. How many
students are there in the class?
Answer:
52 students
Step-by-step explanation:
From the question above, we have the following information:
a) Vidya ranks 7th from the top.
Mathematically,
Vidya = 7th student
b) Divya 3 ranks behind Vidya.
Divya = Vidya + 3
Hence, Mathematically:
Divya = 7 + 3 = 10
Divya = 10th student
c) Also, Divya is 7 ranks ahead of Medha.
Mathematically,
Medha = 10 + 7= 17
Medha= 17th student
d)Sushma is 32 ranks behind Medha
Mathematically,
Sushma = Medha + 32
= 17 + 32 = 49
Sushma is the 49th student
Therefore, since, Sushma is 4th from the bottom, total number of students is:
49 + 3 = 52 students
U
480
S
d
T
b
R.
C
P
1549
Q
Answer:
a = 26°
b = 48°
c = 26°
d = 106°
WHAT IS THE ANSWER PLS HELPPPPP!!!!!
Answer:
5^x - 5^-x
Step-by-step explanation:
g(x) = 5^-x
h(x) = 5^x
We want h(x) - g(x)
h(x) - g(x) = 5^x - 5^-x
This cannot be simplified