Answer:
time = distance / speed
time = 200/10
= 20
Step-by-step explanation:
The time taken to travel a distance of 200 Km will be 5.5 hours.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that the speed is 10 m/s and the distance to be travelled is 200 km.
The time will be calculated as below,
T = Distance / Speed
T = 200000/ 10
T = 200000/10 x 3600
T = 5.5 hours
Therefore, the time taken to travel a distance of 200 Km will be 5.5 hours.
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If the perimeter of a triangle is 10x + 12y, and two of the sides are 4x + 14y and 4x − 2y, which is the third side?
A. 2x + 2y
B. 2x
C. 3x + y
D. x + y
Answer:
The third side is
B. [tex]2x[/tex]
Step-by-step explanation:
Given:
Perimeter of triangle = [tex]10x+12y[/tex]
Two sides of the triangle are :
1) [tex]4x+14y[/tex]
2) [tex]4x-2y[/tex]
To find the third side.
Solution:
Let the third side be = [tex]z[/tex]
The perimeter can be given as sum of all 3 sides :
[tex]4x+14y+4x-2y+z[/tex]
Combining like terms.
[tex]4x+4x+14y-2y+z[/tex]
[tex]8x+12y+z[/tex]
The perimeter given = [tex]10x+12y[/tex]
So, we have:
[tex]8x+12y+z=10x+12y[/tex]
Solving for [tex]z[/tex]
Subtracting both sides by [tex]8x[/tex]
[tex]8x-8x+12y+z=10x-8x+12y[/tex]
[tex]12y+z=2x+12y[/tex]
Subtracting both sides by [tex]12y[/tex]
[tex]12y-12y+z=2x+12y-12y[/tex]
∴ [tex]z=2x[/tex]
Thus, the third side is = [tex]2x[/tex]
Which form of equation models the data if a is a negative integer and b is a positive integer?
A.) b = ax/y
B.) y = ab^x
C.) y = ax+b
D.) y = ab^-x
* ^ = exponent *
Answer:
y=ax+b
Step-by-step explanation:
i got it right on TTM
Answer:
C
Step-by-step explanation:
Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression.
Due tonight please help
brainliest and 50 points
the answers
10: 6(3+9) = 6(12) = 72
11: 8(8+5) = 8(13) = 104
12: (10+9)3 = (19)3 = 57
13: (12+7)5 = (19)5 = 95
14: 9(12-3) = 9(9) = 81
15: 3(15-5) = 3(10) = 30
16: -4(8-5) = -4(3) = -12
17: -7(16-8) = -7(8) = -56
18: 14(20-4) = 14(16) = 224
find the slope between points (1,3) and (4,5)
Answer:
2/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(4-1)
m=2/3
If you know a point on a line and you know the equation of a line parallel to this line, explain how to write the line’s equation.
Answer:
Step-by-step explanation:
First, parallel lines have the same slope, so the slopes should be the same , and then you use the given point to find the y intercept
EX:
y=x+1
find equation of line the is parallel and passes through (1, 1)
Same slope, so y=x+b
then plug in the point
1=1+b
b=0
our line would be y=x
To write the equation of a line when you know a point on the line and have the equation of a line parallel to it, use the point-slope form of a linear equation. Substitute the values and simplify to get the equation.
Explanation:To write the equation of a line when you know a point on the line and have the equation of a line parallel to it, you can use the point-slope form of a linear equation. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is the known point and m is the slope of the parallel line. Substitute the values into the equation and simplify to get the equation of the line.
For example, if you know a point on the line is (2, 5) and you have the equation of a line parallel to it as y = 2x + 3, the slope of the parallel line is 2. Substitute the values of the known point and the slope into the point-slope form: y - 5 = 2(x - 2). Simplify the equation to get the equation of the line: y - 5 = 2x - 4.
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If a = b and e = f, what is the value of y
A. 87
B.88
C. 91
D. 92
Answer:
it’s 92 on edge
Step-by-step explanation:
Evaluate the expression when n=-2.
n²-8n+7
Answer:
27
Step-by-step explanation:
Substitute n = - 2 into the expression
n² - 8n + 7
= (- 2)² - 8(- 2) + 7 = 4 + 16 + 7 = 27
Perform the indicated operation.
h(x) = 3x - 1
g(x) = 2x – 4
Find (hog)(x)
Answer:
[tex]\large\boxed{(h\circ g)(x)=6x-16}[/tex]
Step-by-step explanation:
[tex]h(x)=3x-1\\\\g(x)=2x-4\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\\\\\text{Substitute instead of x the expression (2x - 4) to h (x):}\\\\(h\circ g)(x)=3(2x-4)-4\qquad\text{use the distributive property}\\\\(h\circ g)(x)=(3)(2x)+(3)(-4)-4\\\\(h\circ g)(x)=6x-12-4\\\\(h\circ g)(x)=6x-16[/tex]
is 40% of a class are girls. and 25% of girls play tennis, what is the percent of the class play tennis?
a. 10%
b. 15%
c. 20%
d. 40%
Answer: a. 10%
Step-by-step explanation:
Girls in the class = 40%
Girls play tennis = 25%
Percentage of class play tennis = 40%*25% = 0.4*0.25 = 0.1
Percentage of class play tennis = 10%
The percentage of the class that plays tennis is 70%.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We
If 40% of a class is girls, then 60% of the class must be boys.
Let's say there are 100 students in the class, so 40 of them are girls, and 60 are boys.
If 25% of the girls play tennis, that means 25% of 40, which is 10 girls, play tennis.
Therefore, the total number of students who play tennis is 10 girls + some number of boys.
We don't know how many boys play tennis, but we can find out what percentage of the whole class plays tennis by dividing the total number of tennis players by the total number of students:
(10 girls + X boys) / 100 total students
We know that 40% of the class is girls, so:
X boys = 60% of 100 total students = 60 students
So the total number of students who play tennis is:
10 girls + 60 boys = 70 students
And the percentage of the class that plays tennis is:
70 students / 100 total students = 70%
Therefore,
The percentage of the class that plays tennis is 70%.
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Explain Joshua has 10 cookie. Dareonte has 7 cookies
How many more cookies does Joshua have than Dareonte?
Answer:
joshua has 3 more cookies than dareonte
Mary is 1 9/11 ft tall, whereas Anne is 1 7/10 ft tall. How much taller in feet is Mary than Anne? *
show ur work!!!
Answer:
= 13/110 ftStep-by-step explanation:
1 9/11 - 1 7/10
= (1-1) + (9/11 - 7/10)
= 9/11 - 7/10
= (9×10)/110 - (7×11)/110
= (90-77)/110
= 13/110
Answer:
Step-by-step explanation:
Mary is 1 9/11feet = 20/11feet
Anne is 1 7/10feet = 17/10
Mary is tall than Anne with
= 20/11 - 17/10
The LCM is 110
= (200 - 187)/110
= 13/110
= 13/110feet
41,464,700+?=50,000,000
Answer:
8,535,300
Step-by-step explanation:
the answer is 41,464,700 + 8,535,300 = 50,000,000
Find the evaluate this expression 7×(12+8)-6
The answer to this problem is simple 134
Tyler works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 3 pounds each, and are shipped in a container that weighs 18 pounds. Large ones, on the other hand, weigh 5 pounds apiece, and are shipped in a container that weighs 10 pounds. If these boxes can hold a certain number of helicopters each, all of the packed containers will have the same shipping weight. How many helicopters would fit in either container? What would the total weight be?
Answer:
6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18
Step-by-step explanation:
Answer:
2 kilos and costing $22
Step-by-step explanation:
Equation that would have infinitely many solutions with 5x+3y=12
A real estate sales agent receives a salary of $250 per week plus a commission of 2% of sales.Write an equation that gives the weekly income y in terms of sales x.
The equation y=0.02x+250 gives the weekly income y in terms of sales x.
Step-by-step explanation:
Given,
Weekly salary of real estate agent = $250
Commission rate = 2%
Let,
x be the sales per week.
y be the total weekly income.
Amount of commission = 2% of sales per week
Amount of commission = [tex]\frac{2}{100}*x[/tex]
Amount of commission = 0.02x
Total weekly income = Amount of commission + Weekly salary
[tex]y=0.02x+250[/tex]
The equation y=0.02x+250 gives the weekly income y in terms of sales x.
Keywords: equation, percentage
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The weekly income y of a real estate agent can be calculated using the equation y = 250 + 0.02x where 'y' is the weekly income, 'x' is the sales amount, '250' is the fixed salary and '0.02x' is the commission on sales.
Explanation:The weekly income y of a real estate agent is comprised of a fixed salary and a variable part which is a commission based on the amount of sales done. Given the fixed salary is $250 and the commission is 2% of sales, we can represent this as a mathematical equation:
y = 250 + 0.02x
Here, 'y' represents the weekly income, 'x' represents the amount of sales and '250' is the fixed salary. The term '0.02x' is the 2% commission of sales. So, for a given sales amount 'x', the weekly income 'y' can be computed using this equation.
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easy question plz help
I need to know how you do this math
11-360+15
Answer:334
Step-by-step explanation:
11+15=26-360
what is the answer to 6y2−24y+18
0.3(e+60)+1500/3
A. 0.1e+500
B. 0.1e+506
C. 0.1e+502
D. 0.1e+520
Answer:
0.3e+518
Step-by-step explanation:
0.3(e+60)+1500/3
0.3e+18+500
0.3e+518
0.5•(6x-3)=3(1+x) how to solve
Answer:
No solution
Step-by-step explanation:
We need to isolate x.
Start by performing the indicated multiplication:
3x - 1.5 = 3 + 3x
This has no solution, since 3x = 3x for any x value and -1.5 never equals 3.
The table above represents what type of function?
A.
nonlinear
B.
linear
C.
linear and nonlinear
D.
neither linear nor nonlinear
Answer:
A
Step-by-step explanation:
4000 minutes is equal to how many days, hours, and minutes
Answer:
2.78 days 66.67 hours
Step-by-step explanation:
Write the equation of the line. A line that passes through (5,7) and (9-5).
13.) Springfield Elementary is putting on a school play
to raise money for their field trip. They are selling
adult's tickets for $6 and children's tickets for $3.50.
They made a total of $550 for selling 125 tickets. Write
and solve a system to determine how many of each
type they sold.
45 adult tickets and 80 children tickets were sold
Solution:
Let "a" be the number of adult tickets sold
Let "c" be the number of children tickets sold
Cost of 1 adult ticket = $ 6
Cost of 1 children ticket = $ 3.50
They sold a total of 125 tickets
Therefore,
a + c = 125
c = 125 - a --------- eqn 1
They made a total of $550. Therefore, frame a equation as:
number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = 550
[tex]a \times 6 + c \times 3.50 = 550\\[/tex]
6a + 3.50c = 550 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
6a + 3.50(125 - a) = 550
6a + 437.5 - 3.50a = 550
2.5a = 112.5
a = 45Substitute a = 45 in eqn 1
c = 125 - 45
c = 80Thus 45 adult tickets and 80 children tickets were sold
Make an algebraic equation out if this word problem: Sharkira went bowling with her friends. She paid 3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $21, then how many games did Shakira bowl?
Shakira played 3 full games because rounding off to 4 would increase the total.
Step-by-step explanation:
Given,
Rent of shoes = $3
Amount paid for each game = $4.75
Total paid by Shakira = $21
Let,
x be the number of games played by Shakira.
Amount paid for each game * Number of games + Rent of shoes = Total paid
[tex]4.75x+3=21\\4.75x=21-3\\4.75x=18[/tex]
Dividing both sides by 4.75
[tex]\frac{4.75x}{4.75}=\frac{18}{4.75}\\x=3.8[/tex]
Therefore,
Shakira played 3 full games because rounding off to 4 would increase the total.
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fred thinks of a number that is greater than 110 and less than 120. he can make his number with same number of hundreds,tens and ones. what is freds number?
The number Fred thinks of is 111
Solution:
Given that, Fred thinks of a number that is greater than 110 and less than 120
He can make his number with same number of hundreds,tens and ones
To find: Fred's number
Given that the number is greater than 110 and less than 120
The possible numbers are:
111 , 112, 113, 114, 115, 116, 117, 118, 119
But he can make his number with same number of hundreds,tens and ones
So the numbers in ones, tens and hundreds place are same
So the only possible number is 111
Thus the number Fred thinks of is 111
Final answer:
Fred's number is 111, as it is the only number that is greater than 110 and less than 120 and has the same number of hundreds, tens, and ones.
Explanation:
The number Fred thinks of must be greater than 110 and less than 120. Additionally, it must have the same number of hundreds, tens, and ones. To meet these conditions, the only number that fulfills this is 111. This is because it's the only number between 110 and 120 that has the same digit in the hundreds, tens, and ones place.
Fred's number is unique in this range because it is represented with three identical digits, showcasing an interesting property of numbers in our base-ten system where a digit's value depends on its position. Hence, 111 is the number Fred is thinking of, which consists of one hundred, one ten, and one one.
what is the square root of 56
Answer:
7.48331477355
Step-by-step explanation:
Answer:
(7.48331)
Step-by-step explanation:
what is 40 percdnt of 30? plz hel will give brainliest
Answer:
12
Step-by-step explanation:
30 times .40 =12
Answer:
Step-by-step explanation:
To calculate %, or to find x% of y, use
xy/100
(30)(40)/ 100
1200/100
12
Therefore, 40% of 30 = 12
The area of a triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is known that parabola opens downward.
Answer:
[tex]a=-\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given the parabola
[tex]y=a(x-1)(x-4)[/tex]
To find y-intercept, substitute [tex]x=0:[/tex]
[tex]y=a(0-1)(0-4)\\ \\y=4a[/tex]
Hence, [tex](0,-4a)[/tex] is the point of intersection with y-axis.
To find x-intercept, substitute [tex]y=0:[/tex]
[tex]0=a(x-1)(x-4)\\ \\x_1=1\ \text{or}\ x_2=4[/tex]
Hence, points [tex](1,0)[/tex] and [tex](4,0)[/tex] are the points of intersection with x-axis.
Find the area of the triangle formed:
[tex]A_{\triangle}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}\\ \\\text{Base}=|4-1|=3\\ \\\text{Height}=|4a|\\ \\A_{\triangle }=\dfrac{1}{2}\cdot 3\cdot |4a|=6|a|[/tex]
Since the area of the triangle is 3, you have
[tex]6|a|=3\\ \\6a=-3\ [\text{Parabola goes downward}]\\ \\a=-\dfrac{1}{2}[/tex]