Answer:
See Explanation
Step-by-step explanation:
Required
Determine how far he walked in one loop
This question is incomplete, as the playground diagram and dimensions are missing. However, I'll answer on a general terms.
What this question requires is to calculate the perimeter of the playground.
Assume that the playground is rectangular and the dimensions are: 2 meters by 3 meters.
The distance walked will be calculated using the following perimeter formula.
[tex]Distance = 2(2m + 3m)[/tex]
[tex]Distance = 2(5m)[/tex]
[tex]Distance = 10m[/tex]
If it is a square with 5m as the length of one of its side, the distance would be:
[tex]Distance = 4 * 5m[/tex]
[tex]Distance = 20m[/tex]
So basically, all you need to do is calculate the perimeter of the playground.
Can someone help me with these and show the work also?
QUESTION:
Simplify each expression
ANSWER:
1.) [tex]\green{{- 8n}}[/tex]
2.) [tex]\green{{- 2b - 60}}[/tex]
3.) [tex]\green{{- 10x - 14}}[/tex]
4.) for number 4 study my step-by-step explanation so you can answer that
STEP-BY-STEP EXPLANATION:
1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1
WHY?
Learn why:
Why is it considered that the coefficient is 1?
Remember that any term multiplied by [tex]\blue{{1}}[/tex] remains the same :
[tex]\blue{{1}}[/tex] [tex]{× x = x}[/tex]
Step 1:
The equality can be read in the other way as a well, so any term can be written as a product of [tex]\blue{{1}}[/tex] and itself:
[tex]{x = }[/tex] [tex]\blue{{1}}[/tex] [tex]{× x}[/tex]
Step 2:
Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:
[tex]{x = 1x}[/tex]
This is why we can write the term without the coefficient as a term with coefficient [tex]{1}[/tex]
Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1
[tex]{n - 9n}[/tex]
[tex]\red{{1}}[/tex] [tex]{n -9n}[/tex]
Second, Collect like terms by subtracting their coefficients
[tex]\red{{1n - 9n}}[/tex]
[tex]\red{{( 1 - 9)n}}[/tex]
Third, Calculate the difference
how?
Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger
[tex]\red{{1 - 9}}[/tex]
[tex]\red{{- (9 - 1)}}[/tex]
Subtract the numbers
- ([tex]\red{{9 - 1}}[/tex])n
- [tex]\red{{8}}[/tex]n
[tex]\green{\boxed{- 8n}}[/tex]
2.) First, Distribute - 6 through the parentheses
how?
Multiply each term in the parentheses by - 6
[tex]\red{{- 6(b + 10)}}[/tex]
[tex]\red{{- 6b - 6 × 10}}[/tex]
Multiply the numbers
- [tex]{6b}[/tex] - [tex]\red{{6 × 10}}[/tex]
- [tex]{6b}[/tex] - [tex]\red{{60}}[/tex]
Second, Collect like term
how?
Collect like terms by calculating the sum or difference of their coefficient
[tex]\red{{- 6b + 4b}}[/tex]
[tex]\red{{(- 6 + 4)b}}[/tex]
Calculate the sum
[tex]\red{{(- 6 + 4)}}[/tex]b
[tex]\red{{-2}}[/tex]b
[tex]\green{\boxed{- 2b - 60}}[/tex]
3.) First, Distribute 2 through parentheses
how?
Multiply each term in the parentheses by 2
[tex]\red{{2(x - 5)}}[/tex]
[tex]\red{{2x - 2 × 5}}[/tex]
Multiply the numbers
[tex]{2x -}[/tex] [tex]\red{{2 × 5}}[/tex]
[tex]{2x -}[/tex] [tex]\red{{10}}[/tex]
Second, Distribute - 4 through the parentheses
how?
Multiply each term in the parentheses by - 4
[tex]\red{{- 4(3x + 1)}}[/tex]
[tex]\red{{- 4 × 3x - 4}}[/tex]
Calculate the product
- [tex]\red{{4 × 3}}[/tex]x - 4
- [tex]\red{{12}}[/tex]x - 4
Third, Collect like terms
how?
Collect like terms by subtracting their coefficient
[tex]\red{{2x - 12x}}[/tex]
[tex]\red{{(2 - 12)x}}[/tex]
Calculate the difference
[tex]\red{{(2 - 12)}}[/tex]x
[tex]\red{{- 10}}[/tex]x
Fourth, Calculate the difference
how?
Factor out the negative sign from the expression
[tex]\red{{- 10 - 4}}[/tex]
[tex]\red{{- (10 + 4)}}[/tex]
Add the numbers
- ([tex]\red{{10 + 4}}[/tex])
- [tex]\red{{14}}[/tex]
[tex]\green{\boxed{- 10x - 14}}[/tex]
That's all I know sorry but I hope it helps :)
for f(x) =4x+1 g(x)=x²-5, find (f•g)(x)
Step-by-step explanation:
The composite function (f o g)(x)
= f(x² - 5)
= 4(x² - 5) + 1
= 4x² - 19.
4x² - 19
This is your correct answer friend
Alright, Since my previous questions have not been answered, here's 50p to whoever solves this
Two times x is 16 more than y. The sum of x and two times y is 18.
find the value of y.
Step-by-step explanation:
We can make 2 equations as follows:
2x = y + 16 and x + 2y = 18
x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.
2(18 - 2y) = y + 16
36 - 4y = y + 16
5y = 20
y = 4.
Good Night Bewtiful peeps!
What is 2097÷4?
Answer: 2097÷4 = 524.25
Answer:
524.25
Step-by-step explanation:
Good bewtiful to u too
Which of the following sets of ordered pairs can be modeled by a linear equation?
A {(2, 3), (2, 4), (2, 5), (2, 6)}
B {(3, -3), (1, 1), (0, 3), (-1, 5)
C {(-2, 2), (0, 0), (2, 2), (4,8)
Answer:
A[2,3],(2,4),(2,5),(2,6)
Thisss one toooo plsss
Answer:
5
Step-by-step explanation:
x + y = 3
xy = 2
x = 1 and y = 2 or x = 2 and y = 1
x + y = 1 + 2 = 3
xy = (1)(2) = 2
y^2 + x^2 = (2)^2 + (1)^2 = 4 + 1 = 5
What is f(−1) for the function given? f(x)=x2−3x+8
Answer:
12
Step-by-step explanation:
I am assuming you are asking for f(x)=x^2-3x+8? You plug (-1) in for all portions of x. This means you get (-1)^2-3(-1)+8. (-1)^2 is simply 1 because -1 x -1=1. 3*-1 is -3. This makes the equation 1 - (-3) + 8. The middle section simplifies down to +3 making it 1+3+8, or 12.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. You draw the first marble, return it to the box and draw a second marble. What is P(both marbles are orange)?
Answer:
1/15
Step-by-step explanation:
1/5+3+2 all of the marbles
2/10 odds of drawing an orange marble(bc 2 orange marble)
3/9 because to get 3 green and 1 marble is removed and 9 is total marbles left
2/10*3/9=1/15 muliply odds because 2 draws of marbles
Ill mark brainliest to the correct answer
Answer:
I think 1/5 would be the answer
Step-by-step explanation:
I hope this helps
35 Leticia has two bouquets of flowers. Each bouquet contains 13 daisies,
.
Bouquet S contains 30 flowers.
Bouquet T contains 13 flowers.
Which statement is true?
A The probability of randomly selecting a daisy from Bouquet s is less than the probability of
randomly selecting a daisy from Bouquet T.
B The probability of randomly selecting a daisy from Bouquet s is 1.
C The probability of randomly selecting a daisy from Bouquet s is equal to the probability of
randomly selecting a daisy from Bouquet T.
D The probability of randomly selecting a daisy from Bouquet s is.
ON
SEN
Answer:
D
Step-by-step explanation:
D
Answer: A is the answer
Step-by-step explanation:
There are eleven shirts in your closet, four
blue and seven green. Three of the blue
shirts and one of the green shirts fit well.
The others are too big. You randomly
select a shirt to wear. It is blue or is too
big.
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi (pounds per square inch)
Answer:
23.04psiStep-by-step explanation:
Since we are not told what to find, we can as well find the new tire pressure after reducing to 28% of the target pressure
Given the target tire pressure = 32psi
If the tire pressure of the vehicle is 28% below the target pressure, then the pressure of the tire will be;
32 - (28% of the target pressure)
= 32 - (28% of 32)
= 32 - (0.28 * 32)
= 32 - 8.96
= 23.04psi
Hence the new tire pressure if it is 28% below the target is 23.04psi
Y= -2x+4 by graphing
Answer:
See attached file.
Step-by-step explanation:
This can be graphed by plugging in two distinct x values and solving each for y. That will give you two x,y coordinates to draw on the graph, which will let you trace the line defined by them.
You can get the points where the line intersects the axis by solving either variable for zero. Try giving x a value of 2 or 0 to find those.
If it costs $12 to enter an amusement park and $0.50 per ride.
how would I explain in words the meaning of f(6) = 15 in context of the problem?
Answer:
In this problem, the equation is basically as follows:
F(x)=0.5x+12
where f(x) is the total cost and x represents the number of rides
F(6)= 15 means that the total cost of the amusement park when a person rides six rides is $15.
−2 4/5 ÷ (−7) i need this i will give brainiest
Answer:
0.4
Step-by-step explanation:
Pls mark me brainliest! :D
Answer:It is 0.4 or 2/5
Step-by-step explanation:
Hope this helps!!
Solve
4x+3/7+2=x+5/2
Answer:
x= 1/42
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x+3/7+2=x+5/2
combine like terms (2 and 3/7)
4x+17/7=x+5/2
Step 2: Subtract x from both sides.
4x-x+17/7=x-x+5/2
3x+17/7=5/2
Step 3: Subtract 17/7 from both sides.
3x+17/7−17/7=5/2-17/7
3x=1/14
Step 4: Divide both sides by 3.
3x/3=1/14/3
1/14 * 1/3 = 1/42
x=1/42
ASAP PLZ HELP ME WILL MARK BRAINLIST
Answer:
Step-by-step explanation:
do the two small rectangle first. they are 2 by 8's meaning that one side is 16 and the other 16 (16+16=32)
Now for the big one which is a 6 by 6 (6*6=36)
add 36 + 32 and the area is 68
I will give you brainlest plzzz helppp!!!!
Answer:
329/9, the answer seems wrong but I triple checked because I thought so too. The answer is 100% correct
Step-by-step explanation:
Angle EFG + Angle FGH + Angle GEF = 180 degrees
(2x+1) + (6x+2) + (x + 19) = 180 degrees
9x + 22 = 180 degrees
9x = 158 degrees
x= 158/9
x+19 = Angle GEF
158/9 + 19 = Angle GEF
329/9 =Angle GEF
Double check:
(2x+1) + (6x+2) + (x + 19), x=158/9
2(158/9) + 1 = 325/9
6(158/9) +2 = 322/3
(158/9) +19 = 329/9
325/9 + 322/3 + 329/9 = 180
Select all the angle measurements that are correct
g=24,
h=24,
f=151,
g=29,
b=132,
h=19
Answer:
a = 132
b = 132
d = 29
e = 29
f = 151
g = 24
h = 24
Temperature at 8AM was -8°. The temperature at 8 PM is 3º.
What is the change in temperature from 8 AM to 8 PM?
Answer:
11
Step-by-step explanation:
HELP PLS :)))) could you also explain how you got the answer thanksss!:)))))
Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5 feet shorter than three times its width. He decides the perimeter should be 70. PLEASEEEEE ITS URGENT
Answer:
Width of the rectangle = 10 feet
Length of the rectangle = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width of the rectangle = x feet
Length of the rectangle = 3x - 5 feet
Perimeter of the rectangle = 70 feet
Perimeter of a rectangle = 2(length + width)
70 = 2{x + (3x - 5)}
70 = 2{x + 3x - 5}
70 = 2(4x - 5)
70 = 8x - 10
70 + 10 = 8x
80 = 8x
Divide both sides by 8
x = 80 / 8
= 10
Width of the rectangle = 10 feet
Length of the rectangle = 3(10) - 5
= 30 - 5
= 25 feet
QS is an angle bisector, what is the value of x?
Answer:
The value of x is 16
Step-by-step explanation:
The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle
In Δ QPR
∵ QS is the angle bisector
∵ PR is the opposite side
→ By using the rule above
∴ [tex]\frac{PS}{PQ}[/tex] = [tex]\frac{SR}{RQ}[/tex]
∵ PS = x and PQ = 30
∵ PR = 40
∵ RS = PR - PS
∴ RS = 40 - x
∵ RS = 40 - x and RQ = 45
→ Substitute them in the rule above
∴ [tex]\frac{x}{30}[/tex] = [tex]\frac{40-x}{45}[/tex]
→ By using the cross multiplication
∵ x × 45 = 30 × (40 - x)
∴ 45x = 30(40) - 30(x)
∴ 45x = 1200 - 30x
→ Add 30x to both sides
∵ 45x + 30x = 1200 - 30x + 30x
∴ 75x = 1200
→ Divide both sides by 75
∴ x = 16
∴ The value of x is 16
Answer:17
Step-by-step explanation:trust me bro
A teacher wants to split 2 erasers between 5 students equally. How many erasers will each student get?
Answer:
If the teacher wants to split an eraser into 5 pieces she/he could but they would be small pieces. if she/he splits them, each student would get one small piece and since there are two erasers, then each student would get 2 small pieces of an eraser.
Step-by-step explanation:
what is the value of p
Answer:
p = 61 degrees
Step-by-step explanation:
The sum of all angles that make up a striaght line is 180 degrees. To find p you just subtract the other angles from 180: 180 - 87 - 32 = 61.
My little sis needs help
Answer:
603 miles in 3 days
Step-by-step explanation:
Let's find out how many miles in 1 day:
1,005 ÷ 5 = 201So, Sarah drives 201 miles in 1 dayLet's find out how many miles in 3 days:
3 days = 1 day × 33 days = 201 × 3 3 days = 603 milesI hope this helps!
Which statement is true about the equation (see picture)
A. It has no solution.
B. It has one solution.
C. It has two solutions.
D. It has infinitely many solutions.
Answer:
D would be your answer
Step-by-step explanation:
Simplify :)
PLEASEEE HELPP!!!!!!
Answer:
5x2x6
Step-by-step explanation:
Because you cut it in half so you have to divide the length and width by 2.
Robert graded his friend Sam's practice test, and gave him a 72%. Sam checked it again and found that he really made 80%. Robert
said, "Relax; l ohly made an error of 8%." Is Robert correct?
A) Yes; 80% - 72% = 8%
B) Yes; 8% less then the score or 80% would be 72%
C) No; robert actually made a error of 10% since 8/8” = 10
D) No; 80 divided by 72=1.11, so the error was 11%
Answer:the answer is c,no;Robert actually made an error of 10 present since 8/80=10
Step-by-step explanation:
Answer:
Answer:the answer is c,no;Robert actually made an error of 10 present since 8/80=10
Step-by-step explanation:
Find the slope between the
following points:
(-3,3), and (5, 10)
Answer:
7/8
Step-by-step explanation:
I got it right
Answer:
7/8
Step-by-step explanation:
cuz