Answer:
The distance between the two is:
d=1600km
Hope this helps! :)
Step-by-step explanation:
so, we know A and B left at the same time, one from city A and the other from city B, they're both moving towards each other, and they met in 5hrs.
now, by the time they met, car A has been running for 5hrs already,
and car B has also been running for 5hrs, so the time for both is the same, when they met, each had been running for 5hrs
if B has a speed rate of "r", then A's speed rate is " r - 10"
now, the next to last paragraph
"If the first automobile had left city A 4 1/2 hours earlier than the other automobile left city B, then the two would have met 150 km away from B."
IF, a big if, but they didn't, they left at the same exact time, so that's just an IF
if A had left 4 1/2 hrs earlier, they'd had met 150km from B
so... by the time A had been running already for 4.5 hrs, car B starts off, goes off and they meet 5hrs later, when they meet, car A would have been running for 5hrs, 4.5 + .5 hrs, but car B would had been running for only half an hour when they met
that means car B met car A half an hour later from when it started, and met A 150kms away from its starting point
that means car B can cover 150km in just half an hour
that gives us a speed rate of 150/.5
which is 300kmh
now, if car B is 300kmh, car A has r-10, or 300-10, or 290kmh
so, car A's rate is really just 290
now, let's say the total distance is AB
so, by the time car A had been running for 5hrs, it had covered a distance of "d"
by the time car B had been running for 5hrs, it had then covered the slack, or " AB - d "
2 cars are driving in a highway.car A starts 10 miles ahead of car B.Car A is driving at a speed of 55 miles per hour.car B is driving at a speed of 60 miles per hour.After how Many hours will the 2 cars be in the same location?how far will car B have driven when the 2 cars leer?
Answer:
Step-by-step explanation:
60 - 55 = 5, car B catches up to Car A 5 miles per hour, they are 5 miles closer every hour
10 / 5 = 2, 2 hours
car b would have driven 60 * 2 = 120
A park has a rectangular dog run with length 30 and width 20 ft. The parks department wants to expand each end of each side of the dog run by the same amount x. What will be the total area the expanded dog run?l
Answer:
[tex]Area = (30 + x)(20 + x)[/tex]
Step-by-step explanation:
By definition, the area of a rectangle is the product of its length multiplied by its width.
Initially the dog run has a length of 30 ft long and 20 ft wide.
If you want to expand the track, increase the length of each side by a factor x. So, the dimensions of the expanded dog run will be:
[tex]Length = 30 + x\\Width = 20 + x[/tex]
Then, the area is:
[tex]Area = Length * Width[/tex]
[tex]Area = (30 + x)(20 + x)[/tex]
The total area of an expanded rectangular dog run, after increasing each side by the same amount x, is calculated using the formula A = (l + 2x)(w + 2x), where l is the original length and w is the original width. The new area after expansion is 4x^2 + 100x + 600 square feet.
The student is asking how to calculate the total area of an expanded rectangular dog run after increasing each side by the same amount, x. To solve this, we can use the formula A = lw, where A is the area, l is the length, and w is the width of the rectangle. In the original dimensions, the dog run has a length of 30 ft and a width of 20 ft. After expanding, the new dimensions will be (30 + 2x) ft for the length and (20 + 2x) ft for the width, since each side is increased by x on each end.
Expanded Dog Run Area Calculation:
First, we write out the new dimensions:
New Length = 30 ft + 2xNew Width = 20 ft + 2xThen, we calculate the new area:
A = (30 + 2x)(20 + 2x)
A = 600 + 60x + 40x + 4x^2
A = 4x^2 + 100x + 600
The expanded area of the dog run will be 4x^2 + 100x + 600 square feet.
2164 rounded to the nearest 10th
Answer: The answer is 2160
Answer:
2160
Step-by-step explanation:
all the numbers are small so instead of rounding up you round dow to zero for the forth.
an office building in the form of a right rectangular prism with a height of 200 m, a length of 60 and a width of 40 m. the upper quarter of each vertical face of the building must be covered with a large banner promoting a sports event. what will be the surface of the surface covered by the streamer
Final answer:
The surface area covered by the banner is 27,000 square meters. The side length of a square with the same area would be approximately 164.3 meters.
Explanation:
The office building is a right rectangular prism with a height of 200m, a length of 60m, and a width of 40m. The upper quarter of each vertical face needs to be covered with a large banner.
To find the surface area covered by the banner, we need to calculate the surface area of each vertical face. The surface area of a rectangular prism is given by the formula 2lw + 2lh + 2wh. Since we need to cover the upper quarter of each face, we can consider only three quarters of the height, resulting in a formula of 2lw + (3/4)lh + 2wh.
Plugging in the given values, we get:
Surface area = 2(60)(40) + (3/4)(200)(60) + 2(40)(200)
Simplifying the expression, we get the surface area covered by the banner to be 27,000 square meters.
If we want to represent the area as a square with the same area, we can take the square root of the surface area. In this case, the side length of the square representing the area would be approximately 164.3 meters.
An 8-car Ferris wheel is shaped like a regular octagon. Does the Ferris wheel have rotational symmetry?
Answer:
Yes, it does.
Step-by-step explanation:
Every regular shaped figure will have rotational symmetry, since they are built with identical segments all around.
To find the answer, ask yourself « If I rotate the shape, is there a time where I’ll find the exact same shape again with a different angle? »
So, a square has rotational symmetry, but not a rectangle.
A equilateral triangle has rotational symmetry, but not any other type of triangle.
A triangle has sides of lengths 4, 3, and 5. Is it a right triangle?
Answer:
Yes, because 3^2 + 4^2 = 5^2
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
it doesn't have the same length so one sides gonna be longer
Factor 24x^3y^2-4x^2y+84x^4 please show work
The given equation is :
[tex]24x^{3}y^{2} -4x^{2}y +84x^{4}[/tex]
Now taking [tex]4x^{2}[/tex] common from all the terms, we get
[tex]4x^{2} (6xy^{2} -y+21x^{2} )=0[/tex]
Writing the equation in standard form we get:
[tex]21x^{2} +6xy^{2} -y=0[/tex]
Now we will use the formula of quadratic equations to solve this,
[tex]x1,2 = \frac{-b+\sqrt{b^{2}-4ac }} {2a}[/tex] and
[tex]x1,2 = \frac{-b-\sqrt{b^{2}-4ac }} {2a}[/tex]
Now putting a = 21, b = 6y² and c = -y and solving the equations, we get
[tex]x=\frac{-6y^{2}+\sqrt{36y^{4}+84y }}{42}[/tex] and
[tex]x=\frac{-6y^{2}-\sqrt{36y^{4}+84y }}{42}[/tex]
Find the area of the shaded segment. Round your answer than your square meter.
Answer options: 3m2, 5m2, 6m2, 4m2.
Answer:
3 m^2
Step-by-step explanation:
The shaded area = Area of Sector - Area of Triangle
First we find area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]
We know the angle is 60° (vertical angles are equal) and the radius is 6, so we find the area of sector to be:
[tex]\frac{\theta}{360}*\pi r^2\\\frac{60}{360}*\pi (6)^2\\=18.85[/tex]
Secondly, we find area of triangle (isosceles) = [tex]\frac{1}{2}abSinC[/tex]
where
a and b are the two sides bordering the known angle, so a=b=6, and
C is the angle which is 60°
Now we find the area to be:
[tex]\frac{1}{2}(6)(6)Sin(60)\\=15.59[/tex]
Hence, area of shaded = [tex]18.85 - 15.59=3.26[/tex]
Rounding to nearest whole number, area of shaded region = 3m^2
I don't know how to answer this please help this is urgent.
Answer:
V = 240 in ^3
SA = 2(lw+lh+wh)
SA = 236 in^2
Step-by-step explanation:
Volume = l*w*h where l=length, w= width and h =height
We know l=6, w=5 and h =8
V = 6*5*8
V = 240 in ^3
The formula for surface area of a rectangular prism is
SA = 2(lw+lh+wh) where l=length, w= width and h =height
We know l=6, w=5 and h =8
Substituting into the equation
SA = 2(6*5+6*8+5*8)
= 2 (30+48+40)
=2(118)
= 236 in ^2
7x + 2y = 4
y = x + 1
Solve the system of equations.
A. (1/3, 4/3)
B. (2/9,11/9)
C. no solution
Two mathematically similar cylinders are shown .
The volume of the smaller cylinder is 50 cm3 Calculate the volume of the larger cylinder.
Answer:
400
Step-by-step explanation:
scale factor is 2
so you cube the 2 to get 8
50 times 8 = 400
I would like some help please
Which comparison is not correct?
a. 6 > 5
B. -7 > -9
C. -3 < 4
D. -4 < -12
-4 < -12 would be my answer, just from looking at it. If you write it out on a number line, the number -4 is higher than -12. The higher the negative number, the lower it is on the line. So, -4 is greater than -12, not lower than.
The comparison which is not correct is Option (D) -4<-12
Concept of inequality between two numbers -The inequality, greater than or lesser than between two numbers indicate that whether one number is greater than the other number or less than the other number. The inequality is represented by ">" and "<".
How to find the comparison from the options which is not correct ?In number system, when comparing two numbers less than zero then the magnitude of smaller negative number is always greater than the magnitude of bigger negative number. Or in other words it is opposite to the positive number system .
For example, -10<-4 or -2<-1
Thus the comparison which is incorrect is Option (D) -4 < -12.
To learn more about comparison between two numbers, refer -
https://brainly.com/question/2954013
#SPJ2
three times the difference of 5 and a number gives 30. Find the number.
Answer:
15
Step-by-step explanation:
we need to write the equation. I came up with....
3(5 - x) = 30
so take the 3 away from the 30. I think your not supose to do the 3 because it out of the ( ). the opppisite of multiplication is division. so...
3 divided by 30 =10
rewrite
(5 - x) = 10
take the 5 away. the oppisite of subbtraction is addition.
5 + 10 = 15
check your; plug in x
3(5 - 15) = 30 This equation looks true!
Hope this helped! Please mark as brainliest! Thanks
Which of the following expressions are equivalent to (x + y) − z ?
A. z + (x + y)
B. x +(y − z)
C. None of the above
[tex]\huge\text{B. $\boxed{x+(y-z)}$}[/tex]
First, let's take a look at the terms in the original expression. Since its just addition and subtraction, we can get rid of the parentheses, leaving behind just [tex]x+y-z[/tex].
As long as an answer is made up of a positive [tex]x[/tex], a positive [tex]y[/tex], and a negative [tex]z[/tex], its correct!
Removing the parentheses in choice A leaves us with [tex]z+x+y[/tex], which has a positive [tex]z[/tex] rather than a negative [tex]z[/tex], so it's incorrect.
Removing the parentheses in choice B on the other hand gives us [tex]x+y-z[/tex], which means it's the correct answer! This is a good example of the associative property of addition in action.
The correct expression that is equivalent is option B. x +(y − z)
Let's simplify each expression to see if they are equivalent to (x + y) - z:
A. ( z + (x + y))
We can rearrange the terms:
z + (x + y) = (x + y) + z
This is not equivalent to (x + y) - z because the terms are added in a different order.
B. (x + (y - z))
We can expand the expression:
[tex]\[ x + (y - z) = x + y - z \][/tex]
This expression is indeed equivalent to (x + y) - z because the terms are arranged in the same order and operations are consistent.
So, the correct answer is:
[tex]\[ \text{B. } x + (y - z) \][/tex]
Is the sequence -1,6,-36,216 geometric and what is the common ratio
Answer:
yes, -6
Step-by-step explanation:
6/-1 = -36/6 = 216/-36 = -6
Adjacent terms have a common ratio of -6, so they comprise a geometric sequence.
Please help solve this problem
Answer: OPTION A
Step-by-step explanation:
To simplify the expression you must multiply the numerator and the denominator of the expression by √3.
As all the square roots have equal index, you can multiply the radicands, which are the numbers inside of the sqaures roots.
You also must keep on mind that:
[tex](\sqrt[n]{a})^n=a[/tex]
Therefore, you obtain:
[tex]\frac{6\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}}=\frac{6\sqrt[]{6}}{3}=\frac{2\sqrt[]{6}}{3}[/tex]
Answer:
The correct answer is option B. 2√6
Step-by-step explanation:
It is given that an expression, 6√2/√3
To simplify the expression
6√2/√3
Multiplying numerator and denominator with √3
6√2/√3 = (6√2 x √3)/(√3 x √3)
= [ 6 x √(2x3)]/3) (√2 x √3 = √(2 x 3)
= 6√6/3
= 2√6
Therefore the simplified form of given expression 6√2/√3 is 2√6.
The correct answer is option B. 2√6
A bag contains an equal number of blue, green, pink, and red balls. If a ball is chosen at random 160 times, with replacement, predict the number of times the ball would be the color red.
Answer:
Step-by-step explanation:
Any one color would be 1/4 of the total. So the number of times you should get red is 1/4 of 160 = 40
Notice that this very odd problem does not depend on what the total is. It only depends on the number of times you make the draw. Unusual question.
Find the probability distribution for the following function: P(x) = x/10 for x = 3, 5, and 7
Answer:
3/10. 1/2 and 7/10
Step-by-step explanation:
For P(x) = x/10
When x = 3;
Then;
P(3) = 3/10
When x = 5
Then;
P(5) = 5/10
= 1/2
When, x = 7
Then;
P(7) = 7/10
Answer:
[tex]P(3)=\frac{3}{10}=0.3\\\\P(5)=\frac{5}{10}=0.5\\\\P(7)=\frac{7}{10}=0.7[/tex]
Step-by-step explanation:
Probability is the possibility of happening of some event .
Probability = [tex]\frac{No.\,\,of\,\,outcomes}{Total\,\,no.\,\,of\,\,outcomes}[/tex]
Probability distribution links each outcome of an experiment with it's probability of occurrence .
Given: [tex]P(x)=\frac{x}{10}[/tex]
To find: Probability distribution for the given function for x = 3 , 5 and 7
Solution:
For x = 3 :
On putting x = 3 in function [tex]P(x)=\frac{x}{10}[/tex] , we get
[tex]P(3)=\frac{3}{10}=0.3[/tex]
For x = 5 :
On putting x = 5 in function [tex]P(x)=\frac{x}{10}[/tex] , we get
[tex]P(5)=\frac{5}{10}=0.5[/tex]
For x = 7 :
On putting x = 7 in function [tex]P(x)=\frac{x}{10}[/tex] , we get
[tex]P(7)=\frac{7}{10}=0.7[/tex]
In 1997 U.S. House of Representatives there were 222 Republicans, 204 Democrats, 2 Independents, and 7 undecided. What percentage of the total is neither Republican nor Democrat?
A.) .02%
B.) .98%
C.) 2.1%
D.) 9%
Answer:
2.1
Step-by-step explanation:
There were a total of 435 people in the House. 9 were neither Republican nor Democratic. Divide 9/435. multiply that by 100
Answer:
The answer is C.
Step-by-step explanation:
In 1997 U.S. House of Representatives there were 222 Republicans, 204 Democrats, 2 Independents, and 7 undecided.
So total number in the House = 222 + 204 + 2 + 7
= 435
Total number who is neither Republican nor Democrat = 2 + 7
= 9
Percentage of the total is neither Republican nor Democrat
= 9 / 435 * 100%
= 2.1%
what is the measure of jml?
Answer: 94
Step-by-step explanation:
you have 3/4 yard of felt for a project and you use 1/8 yard. What fraction of a yard of felt do you have left over?
Answer: [tex]\frac{5}{8}[/tex] yard.
Step-by-step explanation:
You have the following information given in the problem:
- You have 3/4 yard of felt.
- You used 1/8 yard,
Therefore, to find the fraction of a yard of felt that you have left over (which you can call x), you only need to subtract 3/4yard and 1/8 yard, as you can see below:
[tex]x=\frac{3}{4}yard-\frac{1}{8}yard\\\\x=\frac{5}{8}yard[/tex]
-4(3s) + 2(-t)
if s = 1/2 and t = -3, what would the answer be?
Answer:
The expression would be = to 0.
Step-by-step explanation:
Starting with -4(3s) + 2(-t), substitute (1/2) for s and (-3) for t:
-4(3/2) + 2(+3)
This gives us:
-12/2 + 6 = 0
Answer:
-12
Step-by-step explanation:
3 times 1/2 is 1 1/2. 1 1/2 times -4 is -6. Then, -3 times 2 equals to -6. lastly -6 plus -6 equals to -12
Ivan is on a three-day hike. The hike is 60 miles long. If he walked 15 miles on the first day and 25 miles on the second day, how many miles does he have left to walk?
Answer:
Ivan has 20 more miles to walk.
Step-by-step explanation:
If the hike is 60 miles long and he has already walked 15 miles the first day and 25 miles the next we can do this equation :
60 - 15 - 25 = 20.
Which means the third day he has to walk 20 whole miles! Good luck Ivan :D
Hope this helps,
Davinia.
Answer:
Ivan have left to walk = 20 miles .
Step-by-step explanation:
Given:Ivan is on a three-day hike. The hike is 60 miles long. If he walked 15 miles on the first day and 25 miles on the second day.
To find: How many miles does he have left to walk.
Solution: We have given that
Total length of hike = 60 miles .
Ivan walked on the first day = 15 miles .
Ivan walked on the second day = 25 miles .
Ivan walked in 2 days = 15 + 25 = 40 miles .
So, Ivan have left to walk = 60 -40 = 20 miles .
Therefore , Ivan have left to walk = 20 miles .
What are the characteristics of a rectangle
Oh that question
Parallel sides
Opposite sides are congruent
And diagonals bisect each other
A rectangle is a four-sided quadrilateral with four right angles, opposite sides are parallel and of equal length, and the area is the product of its base and height. Rectangles typically have a larger perimeter than a square with the same area and can form larger rectangles when equal rectangles are combined. The golden rectangle has sides in the golden ratio, considered aesthetically pleasing.
A rectangle is a geometrical figure with some specific properties. First, it is a quadrilateral, meaning it has four sides. A defining characteristic of a rectangle is that it has four right angles (90°). Due to this property, opposite sides of a rectangle are parallel and equal in length. The area of a rectangle can be calculated by multiplying its base (length) by its altitude (height). A square is a special type of rectangle where all four sides are of equal length.
In terms of perimeter, a rectangle has a larger perimeter compared to a square of the same area, because it will have two longer sides and two shorter sides, whereas a square has four sides of equal length. This also means that in geographic terms, a rectangle would represent a larger coastline if used to approximate a peninsula. When constructing a golden rectangle, which is a rectangle with aesthetically pleasing proportions found in nature and art, the ratio of the longer side to the shorter side is known as the golden ratio.
Another important fact about rectangles is that by placing equal rectangles together, we can form a larger rectangle with sides that simply are multiples of the corresponding sides of the original rectangles. This principle is used in various mathematical proofs and constructions.
What is a way to write 1,00,000 using exponents
Answer:
10^5
Step-by-step explanation:
100,000
= 10 x 10 x 10 x 10 x 10
= 10^5
i don’t understand :(
Answer:
multiplication
Step-by-step explanation:
See what is happening to the expression x - 4 and choose the opposite operation.
x - 4 is being divided by 5.
The opposite operation to division is multiplication, so you need to use multiplication to get x - 4 alone on the left side.
the answer to the question is multiplication
What is the sum of the geometric sequence 1,4,16 if there are 8 terms
Answer:
[tex]\large\boxed{21845}[/tex]
Step-by-step explanation:
The formula of a sum of terms of a geometric sequence:
[tex]S_n=a_1\cdot\dfrac{1-r^n}{1-r}[/tex]
We have:
[tex]a_1=1,\ a_2=4,\ a_3=16\ and\ n=8[/tex]
Calculate the common ratio:
[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{4}{1}=4\\\\r=\dfrac{16}{4}=4[/tex]
CORRECT :)
Substitue:
[tex]S_8=1\cdot\dfrac{1-4^8}{1-4}=\dfrac{1-65536}{-3}=\dfrac{-65535}{-3}=21845[/tex]
1. For the carnival, the park rented a dunking booth shaped as a rectangular prism. The booth is 3 1/2 ft wide, 3 1/2 ft long, and 8 ft tall. (a) What is the total volume of the dunking booth? (b) If they are only going to fill the dunking booth 6/7 full, how many cubic feet of water will they need?
Answer:
a) The volume of the dunking booth = 98 feet³
b) They will need 84 feet³ of water to fill 6/7 of dunking booth
Step-by-step explanation:
* Lets talk about the rectangular prism
- It has 6 rectangular faces each two opposite faces are congruent
- It has three dimensions Length, Width and Height
- Its volume = Length × Width × height
* In our problem the dunking booth is a rectangular prism
with dimensions:
- Width = 3.5 ft
- Length = 3.5 ft
- Height = 8 ft
∴ Its volume = 3.5 × 3.5 × 8 = 98 feet³
a) The volume of the dunking booth = 98 feet³
* They want to fill 6/7 of the dunking booth with water
∴ The volume of the water will be 6/7 from the volume
of the dunking booth
∵ The volume of the dunking booth = 98 feet³
∴ The volume of the water = 6/7 × 98 = 84 feet³
b) * They will need 84 feet³ of water
a) 98
b) 84
hope this helps!
22.122+14.83 plz help this is super hard for me
Answer:
36.952
Step-by-step explanation:
22+14=36
.12+.83= .95
36+.95=36.95
Answer:
36.952
Step-by-step explanation:
Step 1. First think of regular addition add all of your number together.
Step 2. Once you've added all your numbers, place the decimal point. This can be done by counting the number of numbers behind the decimal point.
Step 3. Once you've added and placed your decimal point you should have gotten 36.952. Hope this helped you! <3