Answer:
34 mph
Step-by-step explanation:
Average speed = total distance / total time
Total distance = ( 40 × 2 + 30 × 3 )
= 170 miles
Total time = 5 h
So, avg speed = 170/5 = 34 mph
One length of a rectangular garden lies along a patio wall. However, the rest of the garden is enclosed by 40 feet of fencing. If the length of the garden is three times it’s width, what is the area of the garden ?
The area of the rectangular garden is determined as 192 ft² from the product of the width and length.
What is the area of the rectangular garden?The area of the rectangular garden is calculated by applying the following method.
let the width of the garden = w
then, length of the garden = 3w
The resultant length or remaining length;
= 3w - w
= 2w
The value of the width of the garden is calculated by applying the formula for perimeter of a rectangle.
2w + w + 2w = 40
5w = 40
w = 40/5
w = 8 ft
So the length of the garden = 3 x 8 = 24 ft
The area of a rectangle is calculated as follows;
Area = 8ft x 24 ft
Area = 192 ft²
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pls help me adwadawd
9514 1404 393
Answer:
15.5 lb
Step-by-step explanation:
The average weight of the top 5 fish was 12.9 lb:
(? +14.4 +12.8 +11.6 +10.2)/5 = 12.9
? +49 = 64.5 . . . . . . multiply by 5
? = 15.5 . . . . . . . . subtract 49
The weight of the heaviest fish was 15.5 lb.
Some people advise that in very cold weather you should keep the gas tank in your car more than half full Louis car had 6.9 gallons in a 15 gallon tank on the coldest day of the year blue filled the tank with gas that cost 3.90 per gallon how much did we spend on gas
integration of sin3xsinx
Recall that
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
cos(x - y) = cos(x) cos(y) + sin(x) sin(y)
If you subtract the first equation from the second one, you end up with
cos(x - y) - cos(x + y) = 2 sin(x) sin(y)
so that
sin(3x) sin(x) = 1/2 (cos(3x - x) - cos(3x + x)) = 1/2 (cos(2x) - cos(4x))
Then in the integral,
[tex]\displaystyle \int \sin(3x)\sin(x)\,\mathrm dx = \frac12 \int(\cos(2x)-\cos(4x))\,\mathrm dx \\\\ = \frac12 \left(\frac12 \sin(2x) - \frac14 \sin(4x)\right) + C \\\\ = \boxed{\frac14 \sin(2x) - \frac18 \sin(4x) + C}[/tex]
A triangle with vertices at point A(-2,1), B(1,5), and C(2,3) calculate the coordinates of the mid point of AB
=======================================================
Explanation:
Add up the x coordinates of A and B
-2+1 = -1
Then cut that result in half
-1/2 = -0.5
This is the x coordinate of the midpoint.
Repeat these steps for the y coordinates: (1+5)/2 = 6/2 = 3
The midpoint of segment AB is located at (-0.5, 3)
Help help please help help me help help please please let me know please please help help please help me help help please help help me help help
Answer:
1) A=XB
2) (A-C)/B
Step-by-step explanation:
1) to keep A alone convert B to the other side with multiplication A=XB
2) To keep X alone. First C goes to the other side be minus A-C=BX
then B goes the other side with division (A-C)/B=X
Please answer question c
Answer:
the mean number of magazine readers is 200
What is the complementary angle of 60°.
Answer:
30°
Step-by-step explanation:
The complementary angle of 60° is 30° complementary angles are angles whose measures sum to 90�,
so complementary angles of 60�is 30�
Answer:
30°
Step-by-step explanation:
90-60=30 the complementary angle of 60° is 30°
Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.25 on an exam.
a) Write a sentence explaining what that means.
b) Your friend got a z-score of −1. If the grades satisfy the Nearly Normal Condition, about what percent of the class scored lower than your friend?
The sum of two nunbers is 80
Answer:
x + (80-x) = 80
Hope this helps
PLZ HELP 10 POINTS!!
Answer:
i think its not equivalent but NOT sure
Step-by-step explanation:
Write the slope-intercept form of the equation of each line.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given equation can be written as :
[tex]x - 2y = 2[/tex][tex] - 2y = 2 - x[/tex][tex] - y = \dfrac{2 - x}{2} [/tex][tex]y = - \bigg( \dfrac{2 - x}{2} \bigg)[/tex][tex]y = \dfrac{x - 2}{2} [/tex][tex]y = \dfrac{x}{2} - 1[/tex]Therefore , the slope intercept form for above equation is :
[tex]\boxed{ \boxed{y = \frac{x}{2} - 1 }}[/tex]A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
ifruhhwhahsjjdhwjdkk
A bag contains 7 red marbles, 6 white marbles, and 8 blue marbles. You draw 4 marbles out at random,
without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
what is 6 1/4 divided by 5 evenly
Answer:
1 1/4
Step-by-step explanation:
here is the exact form if your looking for that. :)
5/4
and heres the decimal form if you are looking for that :>
1.25
Multiply (-2) (-2)(9)
Answer:
-2×(-2)×9
= 4×9
= 36
Step-by-step explanation:
lf you like my answer than please mark me brainliest thanks
Answer:
OPTION ( A) 36Step-by-step explanation:
(-2) (-2)(9)=36HOPE IT HELPS
what is 2 times negative 4/5
Find the coordinates of the point.
The point is seven units to the left of the y-axis and two units below the x-axis.
Answer:
(-7, -2)
Step-by-step explanation:
If you look on a graph and travel 7 units to the left of the y axis, you are traveling in the x direction (along the x axis). Since you are 7 units to the left, you are at -7 in the x direction.
If you look on a graph and travel 2 units down below the x axis, you are traveling in the y direction (along the y axis). Since you are 2 units down, you are at -2 in the y direction.
Coordinates are listed in (x,y) format, so it would be (-7, -2)
Tell whether each equation is True or False.
-4+ (-7) = 11
True
Wha
first
False
a.
b. 5 + (-4) = -5 +4
True
False
True
False
C.
-10 + 7 = 7 - 10
True
False
d. 14+ (-3) = 10 + 1
5 Aduck is sitting on a ledge that is 11 feet above the
Answer:
false, false, true. This is my answer for the three questions.
You tested a sample of 100 packages from a shipment of 6000 packages. You
found that 70 packages were under weight. Estimate the number of packages that
will be under weight.
Answer:
100 p have 70 p under weight
6000p have: 6000*70/100=4200
Step-by-step explanation:
what is an equation of the line that passes through the points (3,-9) and (-12,-6)
Mrs. Matherne received a grant to take some of her students on a field trip to the Audubon Zoo. Before she could release the permission slips to the students, she had to determine how many students she could take on the field trip. The total amount of the grant that she received $1,250.00. The grant total was to pay for the round trip bus ride and each students' admission ticket to the zoo. The round trip bus ride will cost $350, and the admission into the zoo is $10.00 per student.
Part A: WRITE an algebraic equation using the information provided above. Use "s" as your variable, which represents the number of students that can attend the field trip. (SHOW YOUR WORK)
Part B: SOLVE the algebraic equation and determine how many students can attend the field trip. (SHOW YOUR WORK)
In this problem, we build and solve an expression.
a)
The expression is:
[tex]350 + 10s = 1250[/tex]
b) 90 students can attend the field trip.
Item a:
The spendings are:
Round trip bus ride of $350.$10 per student s.Thus, in total:
[tex]350 + 10s[/tex]
Has $1,250.00 to spend, thus:
[tex]350 + 10s = 1250[/tex]
Item b:
The number of students that can attend the trip is the solution for s, thus:
[tex]350 + 10s = 1250[/tex]
[tex]10s = 900[/tex]
[tex]s = \frac{900}{10}[/tex]
[tex]s = 90[/tex]
Then, 90 students can attend the field trip.
A similar problem is given at https://brainly.com/question/22312773
In question 12 write a valid conclusion for the given set of premises or indicate that no conclusion is possible.
12. If it doesn't rain, then Kristen will go swimming this weekend.
Kristen does not go swimming this weekend.
Answer: It rained.
Step-by-step explanation: Based off the information given, you can safely assume the reason she didn’t go swimming was because it was raining.
What two numbers can be used for the denominators of 5/8 and five/4
equal denominators can be 8, 16, 24, etc
but for this one, you can use 8.
Let f (x) = log2(x) + 2 and g(x) = log2(x3) – 4.
Part A: If h(x) = f (x) + g(x), solve for h(x) in simplest form. (4 points)
Part B: Determine the solution to the system of nonlinear equations. (6 points)
The function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]
The functions are given as:
[tex]f(x) = log_2(x) + 2[/tex]
[tex]g(x) = log_2(x^3) - 4[/tex]
(a) Function h(x)This is given as:
[tex]h(x) = f(x) + g(x)[/tex]
So, we have:
[tex]h(x) = log_2(x) + 2 + log_2(x^3) - 4[/tex]
Collect like terns
[tex]h(x) = log_2(x) + log_2(x^3)+ 2 - 4[/tex]
[tex]h(x) = log_2(x) + log_2(x^3)- 2[/tex]
Apply law of logarithm
[tex]h(x) = log_2(x \times x^3)- 2[/tex]
[tex]h(x) = log_2(x^4)- 2[/tex]
Apply law of logarithm
[tex]h(x) = 4log_2(x)- 2[/tex]
Hence, function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]
(b) System of nonlinear equationsThe equations are not given.
So, the question cannot be solved
Read more about composite functions at:
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21 less than tree-fifths of a number
(3/5)x - 21
hope this helps :)
The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
49.02%
Step-by-step explanation:
Difference:
= 51-26
= 25
Decreased percentage
= 25/51 * 100%
= 49.02
The number of girls int the choir is 4 times the number of boys in the choir. The total number of students in the choir is 60. How many girls are in the choir?
Answer:
15 boys in the choir
Step-by-step explanation:
60/4
4 x 15 = 60
Answer:
48
Step-by-step explanation:
First, make up some variables to represent the number of Girls and Boys in the choir.
B = number of boys
G = number of girls
You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
If you cross-multiply, then you get the simplified equation:
G = 4B
Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.
Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60
To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12
However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48
The number of girls you have is 48.
What is the 5th term of the sequence defined by f(n) = 3(n-3)
Answer:
f(n) = 3(n-3).
f(5)=3(5-3)
f(5)=6
Arnold Ackerman deposits $870 in a savings account at Home City Bank. The account pays an annual interest rate of 7 percent. He makes no other deposits or withdrawals. After three months the interest is calculated. How much simple interest does his money earn?
Answer: $15.23
Step-by-step explanation:
$870 x ((7% / 12 months) x 3 months)
= $870 x 0.005833 x 3
= $15.23