Leigh-Mari walks 10 kilometres to a waterfall at an
average speed of 3 kilometres per hour.
(a) Write down, in terms of r, the time taken in hours.
(b) Leigh-Mari returns from the waterfall but this time she
walks the 10 kilometres at an average speed of (x+1)
kilometres per hour. The time of the return journey is
30 minutes less than the time of the first journey. Write
an equation in x and show that it simplifies to
2 + 1 - 20 = 0.
(c) Solve the equation x2 + - 20 = 0.
(d) Find the time Leigh-Mari takes to walk to the waterfall,
Answer:
immma send you the link friend me on hereStep-by-step explanation:
I NEED HELP!!! ASAP!!
Answer:
1)
Perimeter=24 inches
Area= around 43.46 inches
Step-by-step explanation:
1) Perimeter = 3in * number of sides
Perimeter = 3*8 = 24
Area= 2(1+ square root of 2) length of one side squared
=42.46
2)
Perimeter = 24
Area= 43.46 inches squared- 3inches
3)
Perimeter = 24
Area= 43.46- triangle area
triangle area = height x base /2
Height = 3, we can compare it.
Base = 3
Triangle = 9/2
Area = 43.46- 4.5
Area =38.96
Can't see 4 and 5 for some reason
6)
Perimeter = 30
Area = 61.94
Sorry if its incorrect, I am just 4th grade :(
Please I need help with the question now PLEASE HELP
5. Marina lives in a 2-bedroom condominium overlooking a lake. Her expenses are as follows.
•The bi-weekly mortgage and property taxes are $718.
•The condo fees are $525 per month.
•The electricity bill averages $320 bi-monthly.
•The quarterly water bill averages $210.
a) Calculate Marina’s fixed monthly expenses for housing.
b) Calculate Marina’s average monthly expenses for utilities.
c) What is her average total monthly cost for housing?
Answer:
a) $1961
b) $710
c) $2671
Step-by-step explanation:
Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month
Condo fees: $525/month
Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month
Water bill is quarterly, so 210/3 months. 210/3 = $70/month
a) housing expenses = mortgage, taxes, condo fees
1436 + 525 = $1961
b) utilities = electricity and water
640 + 70 = $710
c) all expenses listed
1961 + 710 = $2671
Which expressions are equivalent to the one below? Check all that apply.
log, 1 • log, 81
A. O
B. 9.9
O C. 1
O D. 9.log, 9
SUBMIT
Answer:
I think is C I hope is right
The correct expressions which are equivalent to the one below is,
⇒ 0
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ log 1 × log 81
Now, We know that;
⇒ log 1 = 0
Hence, The correct expressions which are equivalent to the one below is,
⇒ log 1 × log 81
⇒ 0 × log 81
⇒ 0
Thus, The correct expressions which are equivalent to the one below is,
⇒ 0
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Find the volume of the cylinder. Round to the nearest tenth
5 ft
2 ft
Given:
Radius of the cylinder = 2 ft
Height of the cylinder = 5 ft
To find:
The volume of the cylinder.
Solution:
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi = 3.14,r=2,h=5[/tex] in the above formula we get the volume of the given cylinder is:
[tex]V=(3.14)(2)^2(5)[/tex]
[tex]V=(3.14)(4)(5)[/tex]
[tex]V=62.8[/tex]
Therefore, the volume of the given cylinder is 62.8 ft².
when twice a number is increased by 10, the sum is 42.what is the number?
Complete the square
x
2
+
8
x
+
6
Answer:
2
+
8
+
6Step-by-step explanation:
Answer:
(x + 4)² - 10Step-by-step explanation:
[tex]x^2+8x+6 =\\\\=\underline{x^2+2\cdot x\cdot 4+4^2}-4^2+6=\\\\=(x+4)^2-16+6=\\\\=(x+4)^2-10[/tex]
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
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Which choice is equivalent to the expression below?
Plz help.
Thank u soooooo muchhh
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
12=100+0.3x
-100 -100 subtract 100 both side
-88=0.3x divide -88 into 0.3
x=-293.3
Compare the box plots for two data sets.
Which statement is true?
-
Set A
Set A
TI
Set B
20
22
24 26 28
30
32 34
36
38 40
The range for Set B is greater than the range for
Set A
The median for Set A is greater than the median
for Set B.
The ranges for both sets are equal
The medians for both sets are equal.
Answer:
The median for Set A is greater than the median
for Set B.
Step-by-step explanation:
From the boxplot attached, we can deduce the following :
Median (vertical line in between the box on a boxplot).
Median, set A = 30
Median, set B = 29
Range = (Maximum - Minimum. Value)
Set A :
Maximum = 35 ; Minimum = 21
Range = 35 - 21 = 14
Set B :
Maximum = 37 ; Minimum = 24
Range = 37 - 34 = 3
Hence, from the options, the only correct statement is The median for Set A is greater than the median for Set B.
The number line below represents the solution to which inequality?
F. -2x + 728
H, 6x 9-21
G. 7x + 1134
J. -3x - 155 -27
Truth or False Domain and Asymptote can be the same number.
algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)
Answer:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
STEP
2
:
3s2 - 2s + 1
Simplify ————————————
s2 - s + 2
Trying to factor by splitting the middle term
2.1 Factoring 3s2 - 2s + 1
The first term is, 3s2 its coefficient is 3 .
The middle term is, -2s its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Answer this if you know this
5+3-2√5±∞
Answer:
wt actual hell
Step-by-step explanation:
Answer:
answering because my account got banned
Step-by-step explanation:
Please help. SINE=?
Answer:
opposite - hypotenuse
(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
Weight/Calories per Day 1000 to 1500 cal. 1500 to 2000 cal. 2000 to 2500 cal. Total 120 lb. 90 80 10 180 145 lb. 143 35 25 203 165 lb. 15 27 75 7 117 Total 140 250 110 500 Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?
A. 0.09
B. 0.12
C. 0.22
D. 0.35
Answer:
its A
Step-by-step explanation:
The probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that:
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
per Day
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
Hence, Total no. of person consumes 2000 to 2,500 calories in a day = 110
And, Total = 500
Now the probability that a person consumes 2,000 to 2,500 calories in a day :
⇒ 110 / 500
⇒ 0.22
Hence the probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.
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The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.
Jane's dance recital started at 1:17 PM. It ended at 5:34 PM. How long did the recital last?
Answer:
the recital lasted 4 hours and 17 minutes
Answer:
4 hours 17 minutes
Step-by-step explanation:
5.34-1.17
Angle A and Angle B are vertical angles. If the measure of Angle A is 30 degrees, what is the measure of Angle B?
Answer: 30 degrees
Step-by-step explanation: Vertical angles are always congruent. If Angle A and Angle B are vertical then they are equal to each other. They both will way thirty degrees.
PLEASE NO FILES OR LINKS
Answer: 16
Step-by-step explanation:
Answer:
It should be 16
Step-by-step explanation:at the you would take the 8 because that tells you half the length of the side then at the bottom there is also the other half of the line
Find the length of side x in simplest radical form with a rational denominator.
45°
X
45°
6
Answer:
square root 6
Step-by-step explanation:
Which fraction is equivalent to -(7/8)
1. -7/8
2. -7/-8
3. -(-7/8)
4. -(7/-8)
Answer:
A. The others are equivalent to 7/8
The coordinates of the vertices of a polygon are (1, 2), (1,-1).(-6, -1), and (-6, 2).
What is the perimeter of the polygon?
A. 10 units
B. 14 units
C. 18 units
D. 20 units
The answer is D. 20 units
Answer:
20 units
Step-by-step explanation:
Worth 38 points!!
What is the area of this figure?
Enter your answer in the box.
units2
Answer:54
Step-by-step explanation: It’s in the picture
guys answer fastyyytytttttt
Answer:
1/4
Step-by-step explanation:
there are 2 footballers
and 8 other sports
therefore, 2/8 or 1/4
5x+ 10y =300
what is x and y?
Answer:
5x + 10y + -10y = 300 + -10y
Step-by-step explanation:
he graph below shows the results of a middle school election for president of the student body.
How many 6th, 7th, and 8th graders voted for Jose?
A.
320
B.
410
C.
420
D.
370
Answer:
Step-by-step explanation:
tina has 10 cards on her table she wrote letter z on 2 of them and the letter y on 8 of them whats the probability that someone picks a card with the letter z on it?
Answer:
1/5
Step-by-step explanation:
From the 10 cards, only 2 cards have the letter Z.
2/10 = 1/5
Answer:
1/5
Step-by-step explanation:
it is 2/10 so 1/5 thats
the probability that someone picks a card with the letter z on it?