A women drives her car 245 miles in 5 hours at this rate how far will she travel in 7 hours
The woman's average speed is 49 miles per hour, so in 7 hours she will travel 343 miles.
To solve how far a woman will drive in 7 hours at the same rate as she did for 245 miles in 5 hours, we need to calculate her average speed and then use that to find the distance for 7 hours. The average speed is calculated by dividing the total distance by the total time of travel. So in this case, the average speed is 245 miles divided by 5 hours, which is 49 miles per hour.
Next, to find out how far she will travel in 7 hours, we multiply her average speed by the total time of travel. Therefore, 49 miles per hour multiplied by 7 hours equals 343 miles.
How do you use a Number line to multiply two digit numbers by 20
Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay. How much did the bicycle cost? $ After how many weeks will Hugo finish paying for the bike?
He needs 15 weeks to pay back his brother completely.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Hugo decided to pay $2 a week to his brother to buy a bicycle.
The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
To pay back to the brother he must owe no money which is y = 0.
∴ The weeks needed is,
0 - 10 = -2(x - 10).
- 10 = -2x + 20.
2x = 30.
x = 15.
He needs 15 weeks to pay back completely.
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A segment has endpoints with coordinates - 3 and 4. What is the coordinate of the segment's midpoint?
A sample in which every member of the sampling frame has an equal chance of being selected.
which graph represents the equation y=3x^2+12x-6
Which of the following is true for the relation f(x) = 2x2 + 1?
Only the equation is a function.
Neither the equation nor its inverse is a function.
Both the equation and its inverse are functions.
Only the inverse is a function.
Answer:
Both the equation and its inverse are functions.
Step-by-step explanation:
Since, a relation is called a function when an input value of the relation has only one output value,
Here, the given relation,
[tex]f(x) = 2x^2 + 1[/tex]
When we plot the graph of this function,
We observed that all vertical line intersects the graph exactly once, except
, x = 0,
Thus, by vertical line test,
In the given equation every x has only one output value,
⇒ f(x) is a function,
Now, the inverse of a function is also a function,
⇒ [tex]f^{-1}(x)[/tex] is also a function,
Hence, Both the equation and its inverse are functions.
Find the equation of the line passing through (4,3) and parallel to the line whose equation is y=2x-6
Pleasssss answer me
Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in the park that is 3 miles long. Then she’ll ride the same way home. She wants to ride a total of at least 22 miles. The inequality 3t + 10 ≥ 22 models this situation, where t is the number of times Elena rides around the loop.
Solve the inequality. How many times does Elena need to ride around the loop?
A. 5 or more times
B. At most 4 times
C. At most 5 times
D. 4 or more times
Answer:
Option D. 4 or more times
Step-by-step explanation:
we have
[tex]3t+10\geq 22[/tex]
Solve for t
Subtract 10 both sides
[tex]3t+10-10\geq 22-10[/tex]
[tex]3t\geq 12[/tex]
Divide by 3 both sides
[tex]t\geq 4\ times[/tex]
The solution is all real numbers greater than or equal to 4
therefore
4 or more times
Answer:
Option D is the correct answer.
Step-by-step explanation:
The inequality is given by 3t + 10 ≥ 22, where t is the number of loops Elena rides in the park.
Solving we will get
3t + 10 ≥ 22
3t ≥ 22 - 10
3t ≥ 12
t ≥ 4
That is t is 4 or more times,
Number of times Elena need to ride around the loop is 4 or more times.
Option D is the correct answer.
Solve this system of linear equations. -14x + 11y = 23 7x - 3y = 37
x=? y=?
To solve the linear system given by -14x + 11y = 23 and 7x - 3y = 37, we used the elimination method, which resulted in finding the solution x = 13.6 and y = 19.4.
Explanation:To solve the system of linear equations given by -14x + 11y = 23 and 7x - 3y = 37, you can use the method of substitution or elimination. Here, I'll demonstrate the elimination method:
Multiply the second equation by 2 to make the coefficients of x in both equations equal in magnitude but opposite in sign:Therefore, the solution to the system of equations is x = 13.6 and y = 19.4.
A person can burn about 9 calories per minute bicycling. Let x represent the number of minutes bicycled, and let y represent the number of calories burned. Create a mapping diagram to show the number of calories burned by bicycling for 50, 100, 150, or 200 minutes. Determine the domain and range of the relation in context and explain whether or not this represents a function.
Final answer:
A mapping diagram to show the number of calories burned by bicycling for different durations has been created. The domain is {50, 100, 150, 200} minutes, and the range is {450, 900, 1350, 1800} calories. This represents a function because each time duration maps to exactly one calorie value.
Explanation:
To create a mapping diagram that represents the number of calories burned by bicycling for 50, 100, 150, or 200 minutes, we consider that a person burns about 9 calories per minute. Let x represent the number of minutes bicycled, and let y represent the number of calories burned. The mapping diagram looks like this:
50 minutes → 50 × 9 = 450 calories
100 minutes → 100 × 9 = 900 calories
150 minutes → 150 × 9 = 1350 calories
200 minutes → 200 × 9 = 1800 calories
The domain of this relation is the set of minutes bicycled, which is {50, 100, 150, 200}, and the range is the set of calories burned, which is {450, 900, 1350, 1800}. This does represent a function because for each value in the domain, there is exactly one corresponding value in the range.
Which expression is equivalent to sin(2x) − sinx?
A. 2cos(x/2) sin(3x/2)
B. 2cos (3x/2) sin(x/2)
C. 2sin(3x/2) cos(x/2)
D. 2sin (3x/2) sin(x/2)
The expression sin(2x) − sinx is equivalent to 2sin (3x/2) sin(x/2) therefore option (D) is correct.
Recall the formula of sine
[tex]\sin x-\sin y=2 \sin (\frac{x+y}{2}) \sin (\frac{x-y}{2})[/tex]
How to find the equivalent expression?The given expression is sin (2x) − sin x.
Apply the formula
[tex]\sin (2x) - \sin x =2 \sin (\frac{2x+x}{2}) \sin (\frac{2x-x}{2})[/tex]
[tex]=2 \sin (\frac{3x}{2}) \sin (\frac{x}{2})[/tex]
Hence the expression is equivalent to 2sin (3x/2) sin(x/2)
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A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales total s dollars, he makes a total of 2000 + 0.1s dollars. What does 2000 represent?
85 points, Brainliest, ill report random answers>ban
What is the scale factor of the dilation?
A (−4, −6) B(−8, 2) C(−2, 4)
A' (−2, −3) B'(−4, 1) C'(−1, 2)
A. 2
B. 1/2
C. - 1/2
D. −2
all the coordinates of the original triangle have been multiplied by 1/2
A (-4,-6) x 1/2 = -2,-3
B (-8,2) * 1/2 = -4,1
C (-2,4) *1/2 = -1,2
so the scale factor is 1/2
Answer is B
Over a 8 week period, the price of an MP3 player dropped steadily, from $82 to $26. What is the average weekly change in the price of the MP3 player over this period?
LaTonya works two part-time jobs while attending college. She works 12 hours per week as a work-study student at the college and is paid once a month. After taxes, her net pay is $289. On her second job, LaTonya works 16 hours each week and is paid $7.25 per hour. Deductions from her weekly paycheck total $22.10. LaTonya's husband works full-time and is paid every two weeks. His take home pay after taxes is $1,108.
What is the total household income they should use in creating a budget for the next six months?
Answer:
Your answer should be $18,579.40
Step-by-step explanation:
The length of a rectangle is 4 yd longer than its width. if the perimeter of the rectangle is 32 yd, find its area.
The area of rectangle is 60 yd²
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The length of a rectangle is 4 yd longer than its width.
Let, the length = x
And, width = y
Now,
Perimeter of rectangle = 2(x+y)
the area of rectangle = xy
x = y+ 4
2(x+y) = 32
Subtract x by equation (1) in (2), we get;
2(y+4+y) = 32
2y+8 +2y = 32
4y = 24
y= 24\4
y =6yd
And, x = 6+4
x = 10yd
Thus, Area of rectangle = xy
= 10 × 6
= 60yd²
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Kevin has $4.85 in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether?
A.) 74 coins
B.) 75 coins
C.) 76 coins
D.) 77 coins
Answer:the awnser is c 76
Step-by-step explanation:
Jon has two trees in his yard. one is 20 feet taller than the other. if we let h h be the height of the shorter tree, write an algebraic expression for the sum of the two trees' heights. be sure to simplify your expression.
Answer:
[tex]2h+20[/tex]
Step-by-step explanation:
It is given that there are two trees in Jon yard, where one tree is 20 feet taller than the other.
We need to find the algebraic expression for the sum of the two trees' heights.
So, in order to solve that we first need to find the height of individual trees then we have to add.
Also, It is given that the height of the smaller tree is h.
So, height of the larger tree is [tex]h+20[/tex]
Now, the total height of both the trees [tex]=h+h+20[/tex]
[tex]=2h+20[/tex]
Hence, the total height of both the trees is [tex]2h+20[/tex].
Algebra help please!
Find the value of the following expression [(17-9)×(3×2)]÷2
The function f(x) is graphed on the coordinate plane.
What is f(−1) ?
Answer:
3
Step-by-step explanation:
Similar problem to a previous one that I solved
Which of the following points is a solution of the inequality y > -2x + 5?
(1 ,4)
(0 ,5)
(-2, 8)
(1, -2)
After testing each given point by substituting them into the inequality y > -2x + 5, only the point (1, 4) satisfies the condition, making it the correct answer.
The question is asking to find which point among the options given satisfies the inequality y > -2x + 5. To solve this, we will substitute the x and y values from each option into the inequality and check whether the inequality holds.
For (1, 4), if we substitute x = 1 and y = 4 we get 4 > -2(1) + 5, which simplifies to 4 > 3. Since this is true, this point is a solution.
For (0, 5), if we substitute x = 0 and y = 5 we get 5 > -2(0) + 5, which simplifies to 5 > 5. Since this is not true (it should be strictly greater), this point is not a solution.
For (-2, 8), if we substitute x = -2 and y = 8 we get 8 > -2(-2) + 5, which simplifies to 8 > 9. Since this is not true, this point is not a solution.
For (1, -2), if we substitute x = 1 and y = -2 we get -2 > -2(1) + 5, which simplifies to -2 > 3. Since this is not true, this point is not a solution.
Therefore, the correct answer is the point (1, 4) as it is the only one that satisfies the given inequality.
A fair coin is tossed four times. what is the probability that the sequence of tosses is hhtt?
A car repair shop shop charged 80$ per hour for labor and210 for car parts it it all cost 490 how many hours did it take
what is 10.85 divided by blank equals 1.55. what is the missing number
Cyndi bought an extra large pizza, cut into 12 pieces, for today's meeting of the mystery club. She ate 1/6 of the pizza yesterday afternoon. Her brother ate 1/5 of what was left last night. Cyndi knows that she needs 8 pieces of pizza for the club meeting. Help Cyndi figure out if she has ebough pizza left for the meeting.
Answer:
Thus, she has enough pizza left for the meeting.
Step-by-step explanation:
It is given that, Cyndi cut pizza in 12 pieces.
Also, She ate 1/6 of pizza yesterday afternoon.
⇒ She ate = [tex]12\times\frac{1}{6} = 2\ \text{pieces}[/tex]
Her Brother ate 1/5 of left pizza
⇒ Her Brother ate = [tex]10\times\frac{1}{5} = 2\ \text{pieces}[/tex]
Then she has left pieces of pizza = 12 - (2 + 2) = 8 pieces
And also that much pieces she wants for the club meeting.
Thus, she has enough pizza left for the meeting.
if you add one-third of a number to itself, you get 1348. what is the number?
An equation is formed of two equal expressions. The number is 1,011.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the unknown number be represented by x.
Given that if you add one-third of a number to itself, you get 1348. Therefore, we can write the given statement in the form of an equation as,
(1/3)x + x = 1348
(x/3) + (3x/3) = 1348
(x + 3x)/3 = 1348
4x / 3 = 1348
4x = 1348 × 3
x = (1348×3)/4
x = 1011
Hence, the number is 1,011.
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The length of a football playing field is 100 yards between the opposing goal lines. What is the length of the football field in feet? Use the conversion equivalency of 3 feet = 1 yard.
a.
33.3 feet
b.
300 feet
c.
200 feet
d.
600 feet
Answer: b. 300 feet
Step-by-step explanation:
We know that 1 yard = 3 feet
Given : The length of a football playing field is 100 yards between the opposing goal lines.
Then, the length of the football field in feet will be :-
[tex]100\times3=300[/tex]
Therefore, the length of the football field in feet = 300 feet
Hence b is the correct option.
145% of what number is 870
Answer:
600
Step-by-step explanation:
145% can be written as 145/100.
"of" is another word for multiplication in math
"x" will be the variable for the number
The equation:
145/100x=870
Here, we simplify the equation:
Step 1 (write the equation): 145/100x=870
Step 2 (multiply both sides by 100): 145x = 87000
Step 3 (divide both sides by 145): x=600
:)