For this case we have that by definition, the perimeter of the rectangle is given by:
[tex]P = 2w + 2L[/tex]
Where:
W: Is the width of the rectangle
L: is the length of the rectangle
According to the data we have:
[tex]L = 6 + w\\P = 48[/tex]
Substituting:
[tex]48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9[/tex]
So, the width of the rectangle is 9 inches
[tex]L = 6 + 9 = 15[/tex]
So, the length of the rectangle is 15 inches
Answer:
the width of the rectangle is 9 inches
the length of the rectangle is 15 inches
How many minutes will it take the school bus to complete the 52-km trip back to the school at an average speed of 1.0 km/min?
If the school bus travels at an average speed of 1.0 km/min, it will take 52 minutes to complete the 52 km trip back to the school.
It is given in the question that the school bus is traveling at an average speed = 1.0 km/min
The total distance the school bus will cover on the trip back to the school is = 52 km
According to the formula of speed,
Speed = Distance/Time
So, Time = Distance/Speed
Substituting the given values of distance and speed, we get
Time = 52 km/1.0 km/min
= 52 minutes
Therefore, the time being taken by the school bus to complete the 52 km trip back to the school (average speed = 1.0 km/min) = 52 minutes
To know more about speed,
https://brainly.com/question/13943409
1. The total area of all the faces of a three-dimensional figure is
called the
Answer:
Surface Area
Step-by-step explanation:
Its's basically the total area of all faces in the three-dimensional figure.
Final answer:
The total area of all the faces of a three-dimensional figure is known as the surface area. It can be calculated differently based on the shape, like multiplying one face's area by six for a cube or summing up the areas of each face for a more complex shape.
Explanation:
The total area of all the faces of a three-dimensional figure is called the surface area. There are various methods to calculate the surface area depending on the shape of the three-dimensional object. For example, a cube has six faces, and the surface area can be found by calculating the area of one face and then multiplying by six. For more complex shapes, one might need to calculate the area of each face separately and sum them up.
For instance, taking a cube, if each face has an area of 4 square inches, then the total surface area of the cube would be 4 square inches multiplied by 6 faces, resulting in 24 square inches. If we then divide this cube into smaller cubes, the surface area-to-volume ratio of these smaller cubes would increase. When dealing with areas or volumes of objects with complex shapes, often, they're idealized to reflect simpler shapes like a cube or a sphere.
WUIZ
9. The length of a rectangle is 4 inches greater than the width. The perimeter of the
rectangle is 24 inches. What are the dimensions of the rectangle?
O
A length = 12 in.; width = 8 in.
B length = 8 in.; width = 4 in
c length = 8 in.; width – 6 in.
D length = 6 in.; width = 2 in.
Answer:
B length = 8 in.; width = 4 in
Step-by-step explanation:
Given
the length L = w + 4
Perimeter = 24 inches
Perimeter of a rectangle
= 2(L + W)
We now have two equations.
Equation 1: L = w + 4
Equation 2: P = 2(L + W)
Substitute L as w + 4 into equation 1. And 24 for p
Therefore
24 = 2(w + 4 + w)
24 = 2(2w + 4)
Distribute 2 into (2w + 4)
We have
24 = 2 x 2w + 2 x 4
24 = 4w + 8
Subtract 8 from both sides
24 - 8 = 4w + 8 - 8
16 = 4w
Divide both sides by 4
16/4 = 4w/4
4 = w
w = 4 inches
Now substitute 4 for w into either of the equations to get
L.
Using equation 1 , we have
L = w + 4
L = 4 + 4
L = 8 inches
Answer:
12 oak as best value
Step-by-step explanation:
two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50)
Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50)
What is Jo’s margin of error, rounded to the nearest whole number? (The formula is
10
20
50
529
Answer:
Required margin of error = 20
Step-by-step explanation:
Required margin of error = 20
so , option (2) is the correct answer.
Explanation:
Values are given as,
we will have to need confidence level to calculate margin of error so ,we assume 95% confidence level .
z = 1.96 (critical value of 95%)
sample size n = 25
standard deviation = 50
Using the formula
Margin of error E = z∗(σ/ n )
putting the values
1.96∗(50/ 25)
= 19.6
=20
Required margin of error : E = 20
Answer: Jo's margin of error is M = 20
Step-by-step explanation:
The margin of error can be calculated as:
M = z*σ/√n
where:
z depends on the confidence interval with we are working, let's use 95%, so z = 1.96
σ = standard deviation = 50
n = number of the sample.
So for Jo we have:
M = 1.96*50/√25 = 1.96*50/5 = 1.96*10 = 19.6
So if we round it to the nearest whole number, we should round up, and we get:
M = 20
5,680 divided by 80 with the remainder division by 2-digits
The quotient of 5,680 divided by 80 with a remainder division by a 2-digit number is 71 with a remainder of 1 and 15/25.
Explanation:When dividing 5,680 by 80, we get a quotient of 71 and a remainder of 40. Now, we divide the remainder by a 2-digit number. Let's say the 2-digit number is 25. When we divide 40 by 25, we get a quotient of 1 and a remainder of 15. Therefore, the final quotient is 71 with a remainder of 1 and 15/25.
Learn more about division here:
https://brainly.com/question/34253396
#SPJ11
2 Points
The value 4 is an upper bound for the zeros of the function shown below.
f(x) = 4x2 - 12x2 – x+15
O A. True
O. B. False
SUBMIT
Answer:
Step-by-step explanation:
A true true
Answer:
T
Step-by-step explanation:
Micah recorded the amount of time his mom and dad spend reading bedtime stories. He plotted the data in the box plot below.
Which is an accurate comparison of the two data sets?
The lengths of time that his mom reads are typically longer and have less variability than the lengths of time that his dad reads.
The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.
The lengths of time that his mom reads are typically shorter and have less variability than the lengths of time that his dad reads.
The lengths of time that his mom reads are typically shorter and have more variability than the lengths of time that his dad reads.
Answer:
The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.
Step-by-step explanation:
This is because the range is greater and the minimum and maximum are higher numbers.
The solution to the box plot is is the lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Let the box plots be represented as A and B
Now , the box plot A represents the minutes Mom used to spend during reading
And , the box plot B represents the minutes Dad used to spend during reading
From the box plots , we can see that the range is greater in the box plot A and the minimum and maximum are higher value numbers when Mom is reading the bedtime stories
Hence , from the box plots lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads
To learn more about box plots click :
https://brainly.com/question/1523909
#SPJ2
it takes 12 minutes to answer 5 homework questions how many minutes will it take to answer 42 questions?
Answer:
100.8 minuts
Step-by-step explanation:
12 question = 5 min
1 question = 12/5 min
42 question = (12/5) * 42 min
= 100.8 min
Answer:
100.8 minutes
Step-by-step explanation:
proportion
12 over 5 = x over 42
12*42=504
504/5
100.8 minutes
Jenna is filling containers of beans. Each container holds
1
3
of a kilogram of beans. If Jenna has 8 kilograms of beans, how many containers can she fill?
A) 21
B) 23
C) 24
D) 28
Answer:
C)24
Step-by-step explanation:
Answer:
24 or c
Step-by-step explanation:
its on usatestprep
Estimate the square root of 51
Answer:
7.14
Step-by-step explanation:
Just use a calculator and type in the [tex]\sqrt{51}[/tex]
PLLSS ANSWER QUICKLY I WILL GIVE BRAINLIEST!
Question 4(Multiple Choice Worth 5 points) (05.02 LC) Which of the following possibilities will form a triangle? Side = 15 cm, side = 7 cm, side = 7 cm Side = 15 cm, side = 7 cm, side = 9 cm Side = 14 cm, side = 6 cm, side = 7 cm Side = 14 cm, side = 6 cm, side = 8 cm
Answer:
Option C is the right answer
Step-by-step explanation:
the correct answer would be Side = 14cm, side = 6 cm, side = 7cm
What is the answer to -3x+2y=5
3x+y=7
Answer:
x=1
y=4
(1, 4)
Step-by-step explanation:
To solve simultaneous equation, we can use either of these three methods. Substitution method, elimination method or graphical method. But for the purpose of this question, we would be using the elimination method.
-3x+2y=5 Equation 1
3x+y=7. Equation 2
Since in the two equations, x has the same coefficient, we can eliminate x by adding both equations together
-3x+3x=0
2y+y=3y
5+7=12
We now have 3y=12
Divide both sides by 3
y=12/3
y=4
Substitute y for 4 in equation 2.
3x+4=7
3x=7-4
3x=3
Divide both sides by 3
x=3/3
x=1
x=1 and y=4
Help pls I dunno how to do it ): explanation would be nice
Bob has to pack 192 boxes. This morning, he packed 84 boxes in 3.5 hours. If Bob continues at the same rate, how long will it take him to pack the remaining boxes?
1.365
Step-by-step explanation:
Answer:
A. 4.5
Step-by-step explanation:
sorry if its wrong it was correct for me
Patrick received a $98 gift card for a coffee shop. Patrick used it to buy coffee that cost $1.64 per pound. Patrick has $81.68 left on the gift card how many pounds of coffee did Patrick by? Round to the nearest hundredth.
Answer:
9.95 pounds
Step-by-step explanation:
(98 - 81.68) ÷ 1.64
= 9.95
2. A ride in a taxicab costs $2.50 for the first mile and $1.50
for each additional mile or part of a mile.Write an equation
and make a graph that represents the total cost.
The equation for this graph would be Y=1.50x+2.50.
What is the equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
How to solve?
Because 1.50 is the price per mile and 2.50 is the starting price for the ride.
The equation for this graph would be Y=1.50x+2.50.
Learn more about Equations:
https://brainly.com/question/16450098
#SPJ2
A circle has its center at the center of a square with 10 inch sides. Find the area of the square not covered by the circle to the nearest 10th
Assuming that the diameter of the circle is the square's side, then we have
Area of square: S1=10×10=100in²
Radius of circle: r=10/2=5in
Area of circle: S2=pi×r²=3.14×5²=78.54in²
Remaining area: S1-S2=100-78.54=21.46in².
Rounding to the nearest tenth: 21.5in².
Answer: 21.5in²
The area of the square not covered by the circle is calculated by first determining the areas of the square and the circle, and then subtracting the latter from the former. The area of the square is 100 square inches and the area of the circle is approximately 78.5 square inches. Subtracting these gives approximately 21.5 square inches.
Explanation:First, let's find the area of the square. Since all sides are equal in a square, the area can be found using the formula side ⨉ side. In our case, the sides of the square are 10 inches, so the area is 10 inches ⨉ 10 inches = 100 square inches.
Next, we'll need to find the area of the circle. The radius of the circle is equal to half the length of a side of the square, or 5 inches. Use the formula for area of a circle, which is πr². So the area of the circle is π(5 inches)² = 25π square inches ≈ 78.5 square inches.
To find the area of the square not covered by the circle, simply subtract the area of the circle from the area of the square. 100 square inches - 78.5 square inches = 21.5 square inches, thus this is the area of the square not covered by the circle.
Learn more about Area Calculation here:https://brainly.com/question/34380164
#SPJ12
what does 2 (x+6) + 3x + 4 =
Answer:
5x +16
Step-by-step explanation:
2 (x+6) + 3x + 4
Distribute the 2
2x+12 +3x +4
Combine like terms
2x+3x +12 +4
5x +16
The sum of two numbers is 11 and their product is 18. Find the numbers.
Answer: the numbers are 9 and 2
Step-by-step explanation:
Let the numbers be a and b
a + b = 11.........equation 1
ab = 18.......equation 2
Multiply equation 1 by a
a ^2 + ab = 11a.......equation 3
Substitute the value of ab from equation 2 into equation 3
a ^2 + 18 = 11a
a^2 - 11a + 18 = 0
(a-9) x (a-2) = 0
If a = 9, then b =2
I hope this helps, please mark as brainliest answer.
What is the degree measure of v?.
A) 31°
B) 34°
C) 58°
D) 74°
Answer:
B) 34°
Step-by-step explanation:
149 - 115 = 34°
Exterior angle = sum of other interior angles
Answer:
B) 34°
Step-by-step explanation:
The sum of the two opposite interior angles is equal to the exterior angle in a triangle
v+115 = 149
Subtract 115 from each side
v+115-115 =149-115
v =34
Candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive?
Answer: Candidate B has 69,500 votes!
Step-by-step explanation:
one easy way to solve this is by dividing 109,000 in half and that gives us
54500 and 54500 but since Candidate C has 15000 less
we subtract 15000 from candidate c and add 15000 from candidate b
which gives us
Candidate C= 39,500 votes
Candidate B= 69,500 votes
please give brainliest!
Bill made some purchases that totalled $18.75 and paid for them with a twenty-dollar bill. The cash register has only quarters, dimes and nickels.
In how many different ways can the cashier make change
Answer:
42
Step-by-step explanation:
The $1.25 in change can be made ...
5 quarters (1 way)4 quarters and any of 2, 1, 0 dimes (3 ways)3 quarters and any of 5, 4, 3, 2, 1, 0 dimes (6 ways)2 quarters and any of 7--0 dimes (8 ways)1 quarter and any of 10--0 dimes (11 ways)0 quarters and any of 12--0 dimes (13 ways)Change can be made a total of 1+3+6+8+11+13 = 42 ways.
Write a real-world
solved by first adding 24 and 36 and then dividing by 1/4. Find the solution
to your problem and explain your answer.
Answer:
Problem: Jamie was driving for 24 miles in the first hour and 36 miles is the second hour. But, she stopped at a gas station 1/4 of the total drive. Find how far the gas station is from her start.
Answer:
24 + 36 = 50
50 * 1/4 = 50/4
50/4 = 12.5
Explanation: The gas station is 12.5 miles from her start to a 50 mile journey. The gas station was 1/4 of the total drive which was 50 miles. 1/4 of 50 is 12.5
An architect build a scale model of a sports stadium that was 12 inches. The actual height of the building was 180 feet.
Which scale did the architect use to create the scale of the sports stadium?
Answer:
Scale did the architect use to create the scale of the sports stadium is 1 inch = 15 feet.
Step-by-step explanation:
Given : An architect build a scale model of a sports stadium that was 12 inches. The actual height of the building was 180 feet.
To find : Which scale did the architect use to create the scale of the sports stadium?
Solution :
An architect build a scale model of a sports stadium that was 12 inches.
The actual height of the building was 180 feet.
The scale is determined by number of feet used in 1 inch.
i.e. For 12 inches it is 180 feet
For 1 inch = [tex]\frac{180}{12}[/tex] feet
1 inch = 15 feet
Therefore, scale did the architect use to create the scale of the sports stadium is 1 inch = 15 feet.
Please write step by step of how you got the answer. Thankyou
Answer:
The solution in the attached figure
Step-by-step explanation:
step 1
Place the numbers -4, 4, 0, and -3 in the left side
Adds the numbers
[tex]-4+4+0-3=-3[/tex] ----> is correct
step 2
Place the numbers 3, -1, and -2 in the right side
Adds the numbers
[tex]-3+3-1-2=-3[/tex] ----> is correct
step 3
Place the numbers 1 and 2 in the base side
Adds the numbers
[tex]-4+1+2-2=-3[/tex] ----> is correct
The solution in the attached figure
Circle O has a circumference of 36π. What is the length of the radius, r? 6cm 18cm 36cm 72cm
Answer:
The exact radius is 17.99 but I guess you can round it to get 18cm.
Step-by-step explanation:
Next time if you still get these questions, you can use a online calculator to help you!
the area is 28 square cm, and 4 width
Answer:
High is 7
Step-by-step explanation:
If the area is 28 square cm, and 4 width Then the High is 7
Because 28/4=7
And 7*4=28
Solve for r write the answer in simplified form
7 = - 7r
Answer:
r = -1
Step-by-step explanation:
To get r isolated, you have to divide each side by -7
7 divided by -7 is -1, therefore r = -1
How do you know if two triangles are congruent
Answer:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
HELP!!!! WILL MARK BRAINLEST IF CORRECT!
How is the distributive property used when finding the product of two polynomials? How are polynomials closed under multiplication?
Answer:
When you multiply the first number of each polynomial by the second. Then you add the products together and combine like terms to simplify.
Step-by-step explanation:
I don't really know how to explain this, lol.