The cyclist cover 200 kilometer in 5 hours and his speed in miles are 25 miles per hour.
According to the statement
We have to find that the speed of the cyclist.
So, For this purpose, we know that the
Speed is the time rate at which an object is moving along a path
From the given information:
A cyclist his bike at a speed of 40 kilometers per hour
Then
The distance he covered in 5 hours = 40*5
The distance he covered in 5 hours = 200.
And then
The speed in miles :
We have given that the 1 mile is equal to 1.6 kilometers
Then
If he covers a 40 kilometers in a hour then
in miles it becomes = 40/1.6
In other words,
Speed in miles = 40/1.6
Speed in miles = 25 miles per hour.
So, The cyclist cover 200 kilometer in 5 hours and his speed in miles are 25 miles per hour.
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What are the solutions of this quadratic equation?
x² - 6x+2=0
OA.
O B.
OC.
2-3 ± √7
CD. 2-3 ± √11
-6 ± √7
x=3+√7
I need help with my homework
The lengths of the other two sides is 6 inches each.
The perimeter of any figure is sum of all the sides of the figure.
Here, we are given that the area of a triangle is 18 inches. Also, in the figure, we can see that the 3 sides of the triangle are-
6 inches, s inches and s inches.
Therefore, the perimeter of the given triangle will be-
Perimeter = 6 + s + s
⇒ 18 = 6 + s + s
Thus, the equation to find the lengths of the two sides is-
18 = 6 + 2s
18 - 6 = 2s
12 = 2s
2s = 12
s = 12/ 2
s = 6
Thus, the lengths of the other two sides is 6 inches.
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(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Step-by-step explanation:
y=1
x=1
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The mass of an oxygen molecule is about 0.000000000000000000000053 g. What is it’s scientific notation?
Answer:
5.3 x 10^-23 g
A small pizza has an area of
730
730730 square centimeters.
Write an inequality that describes
p
pp, the area of a pizza that is larger than a small pizza.
The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
What is inequality?
Inequality refers to the miracle of unstable and/ or unjust distribution of coffers and openings among members of a given society. The term inequality may mean different effects on different people and in different surroundings. The major exemplifications of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals admit better and further professional care compared to others.
From the information given, we have that;
Area of the small pizza = 730(seven hundred thirty) square centimeters
p = area of the larger pizza
In writing inequality, we have to use the signs
< less than
> greater than
Since p has a greater area, we have
730(seven hundred thirty) < p
Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p
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Complete the missing values. (Hint 1 yard-3 feet)
2/ yd =
ft
Answer:
6 ft
Step-by-step explanation:
if 1 yard = 3 feet, you add +3 to the second one because its 2x more
You may recall that the area of a rectangle is A=L⋅W, where W is the width and L is the length.
Suppose that the length of a rectangle is 4 times the width. If the area is 900 square feet, then what is the width of the rectangle, in feet?
Answer:
Width = 15 ft
Step-by-step explanation:
Given formula,
→ A = L × W
Let us assume that,
→ Length = 4x
→ Width = x
→ Area = 900 ft²
Then the value of width will be,
→ A = L × W
→ 900 = 4x × x
→ 4x² = 900
→ x² = 900/4
→ x = √225
→ [ x = 15 ft ]
Hence, the value of width is 15 ft.
Translate the sentence into an equation.
Nine more than the product of a number and 6 is equal to 4.
Use the variable x for the unknown number.
Answer:
6x + 9 = 4
Step-by-step explanation:
Simplify : p^2-p-12/p^2-10p+24
Step-by-step explanation:
[tex] = \frac{ {p}^{2} - p - 12 }{ {p}^{2} - 10 + 24} \\ [/tex]
[tex] = \frac{ {p}^{2} - (4 - 3)p - 12 }{ {p }^{2} - (6 + 4)p + 6 \times 4} \\ [/tex]
[tex] = \frac{ {p}^{2} - 4p + 3p - 4 \times 3 }{ {p}^{2} - 6p - 4p + 6 \times 4 } \\ [/tex]
[tex] = \frac{p(p - 4) + 3(p - 4)}{p(p - 6) - 4(p - 6)} \\ [/tex]
[tex] = \frac{(p + 3)(p - 4)}{(p - 4)(p - 6)} \\ [/tex]
[tex] = \frac{p + 3}{p - 6} \\ [/tex]
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Shirley and Pam, working together, can mow the lawn in 6
6
hours. Working alone, Pam takes three times as long as Shirley. How many hours does it take Shirley to mow the lawn alone? Round your answer to two decimal places, if needed.
Shirley will take 8 hours to complete mowing the field alone.
We are given that Shirley and Pam, working together, can mow the lawn in 6 hours.
So, work done if 1 hour together = 1 / 6
Also, we are given that Pam takes three times as long as Shirley when she works alone.
Time taken by Pam = 3 times Time taken by Shirley.
Let the time taken by Shirley be y.
Job done in 1 hour = 1 / y
Time taken by Pam = 3 y
Job done in 1 hour = 1 / 3y
ATQ:
1 / y + 1 / 3 y = 1 / 6
4 / 3 y =1 / 6
24 = 3 y
y = 24 / 3
y = 8 hours.
Therefore, Shirley will take 8 hours to complete mowing the field alone.
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determine the range of the following graph, help me please!!
Answer: Range: -9<=y<=-4
Step-by-step explanation:
Starts at (-5,-4), ends at (3, -9). Look at the y-coordinates
Range starts at y=-4, ends at y=-9. In the graph, there are no y-coordinates that are greater than -4 and less than -9.
Range: -9<=y<=-4
Answer:
-9 ≤ y ≤ -4
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph goes through.
The minimum y-value of this graph is -9, and the maximum y-value is -4. Since the endpoints are filled in, we use the ≥ or ≤ symbols to write the inequality.
The inequality is -9 ≤ y ≤ -4.
Which is the same length as 4 kilometers
Answer:4000 meters
Step-by-step explanation: 1 kilometer =1,000 meters
Help
Find a if A = 8a
Answer:
a(A) = 0
Step-by-step explanation:
in the u.s government a memeber if the senate serves for 4 years longer than a member of the House of Representatives. If a member of the House of Representatives serves for h years, write an expression for how many years a member of the senate serves .
A member of the senate will serve for (h+4) years.
An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.
Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.
Also the House of Representatives serves for- h years
Thus, the number of years a member of the Senate will serve will be 4 more than the number h
= h + 4
Thus, a member of the senate serves for (h+4) years.
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let's find the sizes of unknown angles in the following figures.
Answer:
if this shape has greater that's obtuse
(b) If you put $7750 in the ATM each day, what percent of the days in a month should you expect to run out of cash?
The percent of the days in month that the cash will run out is given as: 23.33%. See the computation below.
What is the explanation that justified the above answer?Money put in ATM per day=$7750
We have to find the percent of days in a month you should expect to run out of cash.
From the given information
There are 7 days in which you run out cash more than $7750
Assuming that the total number of days in a month = 30
Hence, we can arrive at the above value by saying:
(Corresponding days/Total number of Days) * 100
From we above we state:
(7/30) * 100
= 23.33%
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A toll-free consumer information line answered 105 of 120 questions in one day. What is the daily success rate of the information line?
The daily success rate of the toll-free answers is 87.5%.
What is described as a percentage?A percentage is a fraction of a whole represented as a number from zero and 100. Nothing is zero percent, everything is 100 percent, 50 per cent of everything is fifty percent, and nothing is zero percent.To calculate a percentage, divide this same portion of the total by the total and multiply by 100.Now, as per the given data;
The number of consumer information asked in one day is 120.
Total number of toll-free consumer's question answered = 105.
To find the daily success rate, determine the percentage of 105.
Let the x% of the total be 115.
Thus, x% of 120 = 105
x × 120/100 = 105
12x = 1050
x = 1050/12
x = 87.5 %
Therefore, the answer rate of the toll-free is 87.5%,
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Create a scaled copy of ABCD using a scale factor of 2.
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
How to create a scaled copy of a quadrilateral
A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.
The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).
Second, determine the coordinates of the new quadrilateral by using the dilation formula:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]
Where:
k - Scale factorO(x, y) - Center of dilationP(x, y) - Original pointP'(x, y) - Dilated pointIf we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:
A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]
A'(x, y) = (1, 9)
B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]
B'(x, y) = (1, 9) + 2 · (2, 0)
B'(x, y) = (1, 9) + (4, 0)
B'(x, y) = (5, 9)
C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]
C'(x, y) = (1, 9) + 2 · (1, - 2)
C'(x, y) = (1, 9) + (2, - 4)
C'(x, y) = (3, 5)
D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]
D'(x, y) = (1, 9) + 2 · (0, - 1)
D'(x, y) = (1, 9) + (0, - 2)
D'(x, y) = (1, 7)
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
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Classify the relationship(s) between the two following sets: A = {Joe Hawley, Noah Spence, Clinton McDonald, DaVonte Lambert, Luke Stocker} B = {Andrew DePaola, Mike Lennon, Sealver Siliga, Freddie Martino}
Answer: both
Step-by-step explanation:
You need 6 cups of fruit punch. use 2 cups of pineapple juice add 1 cup of cranberry juice. How many cups of orange juice should you add?
Answer:3
Step-by-step explanation:easy 2 cups of pj plus cranberry juice is 3, get 6 by adding 3 again
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 82 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 568 mg of cholesterol. How much cholesterol is in each item?
Answer: 300
Step-by-step explanation:
The amount of money earned varies directly as the number of hours worked. After working 14 hours, Joe earned $119. How
much would Joe earn for working 20 hours?
Joe earned $140 for working 20 hours
To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Joe worked 14 hours and earned = $119
Joe worked for 1 hour and earned = $ 119/ 14
Joe worked for 20 hours and earned = $ 119/ 14 x 20
= 4140
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24= 8 + 2 (y - 10)
step by step pls
Answer:
18
Step-by-step explanation:
Distribute the 2 to the terms inside the parenthesis.
24=8+2y-20
Combine like terms
24=2y-12
Add 12 to 24
36=2y
Divide by 2
18=y
Answer:
18
Step-by-step explanation:
24 = 8 + 2 (y-10)
24-8 = 8 + 2 (y-10) -8
16 = 2 (y-10)
16 = 2y - 20
16 + 20 = 2y -20 + 20
36 = 2y
36/2 = 2y/2
18 = y
Whats 150 x 2 divided by 2?
Answer:
150 ?
Step-by-step explanation:
150*2 = 300 / 2 = 150
Answer:
the answer is 150
Step-by-step explanation:
150×2÷2
150×1
150
8 3/7 x 7 2/15 Add. Express your answer in lowest terms.
Answer:
Step-by-step explanation:
Step 1: Convert
8 3/7= 43/5
7 2/15= 10/15
Step 2: Multiply
43×107=4601
----------
5×15=75
[tex]\frac{4601}{75}[/tex]
Step 3: Convert to an improper fraction
[tex]\frac{4601}{15}= 61\frac{26}{75}[/tex]
Hence, our answer is 61 26/75
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Answer: Why is the question blank
Also the answer is 5.2
Step-by-step explanation:
Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
through(–3, 8) and perpendicular to y=-1/4x-3
Answer:
it's is the way to do it
Step-by-step explanation:
the equation is X-4y-35
A submarine was a number of feet, f, below sea level. The submarine ascended to an elevation
of 0 feet above sea level. What must be true about the number of feet the submarine ascended?
The number of feet the submarine ascended is the same as the number of feet f below sea level.
What is a number line?A number line is a straight line with a zero point in the middle and positive and negative numbers listed on either side of zero and going on indefinitely.
We have,
The submarine is at feet f below sea level.
We represent the distance below sea level by a negative number.
We represent ascended by a positive number.
So the distance traveled by submarine is:
= Distance below sea level + Distance ascended
= (-f) + distance ascended
We have,
The submarine ascended to 0 feet above sea level.
This means,
The distance traveled by submarine = 0
Distance below sea level + Distance ascended = 0
(-f) + Distance ascended = 0
Distance ascended = f
Thus the number of feet the submarine ascended is same as the number of feet f below sea level.
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Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10 what is the graph of the new line
the graph of the new line ,Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10.
Definition:Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
x = 3
The points are on a vertical line because they share the same x-coordinate. A vertical line has the equation x=constant. The x-coordinate of the points must match the constant:
x = 3 . . . . formula for the line
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