A car service charges a fixed fee of $3 plus $2 for each mile. Find the cost of a 7-mile ride. Let x=the number of miles.
Reaner Recycling shreds 7/8 ton of aluminum each day.The machines can shred 1/24 ton aluminum per cycle.How many cycles will be needed to shred the aluminum?
plz help I don't get it
Answer:
21.
Step-by-step explanation:
We have been given that Reaner Recycling shreds 7/8 ton of aluminum each day.The machines can shred 1/24 ton aluminum per cycle.
To find the number of cycles needed to shred the aluminum, we will divide amount of aluminium by 1/24 as:
[tex]\text{Number of cycles}=\frac{7}{8}\div \frac{1}{24}[/tex]
Convert into multiplication problem by flipping the 2nd fraction:
[tex]\text{Number of cycles}=\frac{7}{8}\times \frac{24}{1}[/tex]
[tex]\text{Number of cycles}=\frac{7}{1}\times \frac{3}{1}[/tex]
[tex]\text{Number of cycles}=7\times 3[/tex]
[tex]\text{Number of cycles}=21[/tex]
Therefore, 21 cycles will be needed to shred the aluminum.
angle efg and angle gfh are a linear pair, the measure of angle efg equals 4n+20, and measure of angle gfh equals 3n+13. what are the measures of angle efg and angle gfh?
Answer:
∠EFG=104° and ∠GFH=76°
Step-by-step explanation:
Given information:∠EFG = (4n+20)°, ∠GFH = (3n+13)° and ∠EFG and ∠GFH are a linear pair.
If two angles are a linear pair, then the sum of those angles is 180°.
It is given that ∠EFG and ∠GFH are a linear pair.
[tex]\angle EFG+\angle GFH=180^{\circ}[/tex]
Substitute the given values.
[tex](4n+20)+(3n+13)=180[/tex]
Combined like terms.
[tex](4n+3n)+(20+13)=180[/tex]
[tex]7n+33=180[/tex]
Subtract 33 from both sides.
[tex]7n+33-33=180-33[/tex]
[tex]7n=147[/tex]
Divide both sides by 7.
[tex]n=21[/tex]
The value of n is 21.
[tex]\angle EFG=4n+20=4(21)+20=104^{\circ}[/tex]
[tex]\angle GFH=3n+13=3(21)+13=76^{\circ}[/tex]
Therefore, the measure of ∠EFG and ∠GFH are 104° and 76° respectively.
is it possible to have three points that would not fit on the same plane 2 dimensional surface? Why or why not
At a baseball game, a vender sold a combined total of 112 sodas and hot dogs. the number of sodas sold was three times the number of hot dogs sold. find the number of sodas and the number of hot dogs sold.
There are 2 4/5 pounds of bricks in a bag. each brick weighs 2/5 of a pound. how many bricks are in the bag?
HELP PLEASE!!!
A wheel makes 20 revolutions per minute. Find the angular velocity.
10π rad/min
20π rad/min
40π rad/min
Answer:
Angular velocity of a wheel which makes 20 revolutions per minute is 40π rad/min
Step-by-step explanation:
Angular velocity, ω = 2πf , where f is the frequency.
Here frequency, f = 20 revolutions per minute
Substituting frequency value in angular velocity equation,
Angular velocity, ω = 2πf = 2 x π x 20 = 40π rad/min
So angular velocity of a wheel which makes 20 revolutions per minute is 40π rad/min
Jan scored 539,178 points in a video game what is Jans score rounded to the nearest ten thousand?
15 coins worth $3.15. if the coins are all quarters and dimes, how many quarters and dimes does she have?
5(x+2)7x+4 plz help idk what to do
If y varies directly as x and y is 18 when x is 5 which expression can be used to find the value of y when x is 11?
Answer:
The value of y is [tex]\frac{198}{5}[/tex] or 39.6.
Step-by-step explanation:
It is given that y varies directly as x and y. It means y is directly proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex] .... (1)
where, k is constant of proportionality.
It is given that y is 18 when x is 5.
Substitute y=18 and x=5 in equation (1).
[tex]18=k(5)[/tex]
Divide both sides by 5.
[tex]\frac{18}{5}=k[/tex]
The value of k is [tex]\frac{18}{5}[/tex]. So, the relation between x and y is
[tex]y=\frac{18}{5}x[/tex] .... (2)
We need to find the value of y when x=11.
[tex]y=\frac{18}{5}(11)[/tex]
[tex]y=\frac{198}{5}[/tex]
[tex]y=39.6[/tex]
Therefore the value of y is [tex]\frac{198}{5}[/tex] or 39.6.
A rectangular room is three times as long as it is wide, and its perimeter is 48 meters. Find the length of the room.
Determine algebraically whether the function is even, odd, or neither even nor odd.
f(x)=x+ [tex] \frac{4}{x} [/tex]
a))Even
b))Neither
c))Odd
The number of timeshare condos available at sunset beach is 3/5 the number of timeshare condos available at playa del mar. if the total number of timeshare condos available at the two beaches combined is 240, what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar?
To find the difference between the number of condos available at Sunset Beach and Playa Del Mar, we need to set up an equation and solve for the unknown. The number of timeshare condos available at Sunset Beach is 3/5 of the number available at Playa Del Mar. By solving the equation, we find that the difference is 60 condos.
Explanation:To solve this problem, we can set up an equation. Let's say the number of timeshare condos available at Playa Del Mar is x. According to the question, the number of condos available at Sunset Beach is 3/5 of x, or 3/5x.
So, the total number of condos available at both beaches is x + 3/5x = 240. We can combine the like terms to get 8/5x = 240.
To solve for x, we divide both sides of the equation by 8/5, which is the same as multiplying by its reciprocal, 5/8. Simplifying, we get x = 240 * 5/8 = 150.
Therefore, the number of condos available at Sunset Beach is 3/5 * 150 = 90, and the difference between the number of condos available at Sunset Beach and Playa Del Mar is 150 - 90 = 60.
What is the equation of the line in slope-intercept form?
What is the solution to the system of equations?
y = x + 3
x = –2
Cristina Suarez has insured her home for 80% of its replacement value of $155,000. Use the chart to determine the amount of coverage for her personal property, to the nearest dollar.
The final answer is 55,800
What is the value of c such that: x2 + 14x + c, is a perfect-square trinomial? A. 7 B. 98 C. 196 D. 49
Find three consecutive integers such that the sum of the first and twice the second is equal to the third plus four.
Help please!
Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.
Enter an inequality that can be used to represent this situation in the box, where x represents Victoria's neighbor's age.
The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of 18 feet and an area of 477 ft squared, find the length of the longer base.
The length of the shorter base of the trapezoid is found by solving the equation generated by using the formula for the area of a trapezoid. After finding this length, it is substituted into the equation representing the length of the longer base to find its value, which is 76 feet.
Explanation:To solve this problem, let's denote the length of the shorter base of the trapezoid as 'a'. According to the problem, the length of the longer base is then 5a - 19. We also know that the area of a trapezoid is given by the formula: (1/2) * (sum of lengths of bases) * height. So, by substituting the given trapezoid area (477 ft squared) and height (18 ft) into the this formula, we get: 477 = 1/2 * (a + (5a - 19)) * 18. Solving this equation will give us the value of 'a'. As calculating 'a' we find it to be 19. After that, we insert 'a' into the longer base equation: 5a - 19, we find the length of the longer base to be 76 ft.
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if you cross multiply 10 over 2.4=15 over x
This may make me look dumb but idk what to do. I need answers please
An item is regularly priced at $65 . it is on sale for 80% off the regular price. how much (in dollars) is discounted from the regular price?
f(x)=x+7
if you know the domain is {-9,-3} then the range must be?
Cards numbered 1 through 30 are shuffled in a bin one card is randomly selected what is the probability of selecting a number that is a multiple of 11 ? please help
Help solve x for this
134 = 14 +6x
subtract 14 from each side
120 = 6x
divide each side by 6
x = 120/6 = 20
x = 20
ANGLE GOF = (360 - (134+134)) /2 = 92/2 = 46 degrees
Which is an equivalent form of the equation 4x-y= 14
Answer:
y = 4x - 14 is equivalent from of y = 4x - 14.
Step-by-step explanation:
Given : 4x-y= 14
To find : Which is an equivalent form of the equation.
Solution : We have given 4x - y = 14.
We can write it in slope intercept form y = mx + b
Where, m = slope , b = y intercept.
4x - y = 14.
On subtracting both sides by 4x
- y= -4x + 14.
On dividing both sides by -1.
y = 4x - 14.
Therefore, y = 4x - 14 is equivalent from of y = 4x - 14.
Is the value a an improper fraction less than 1 or greater than 1
What is the reference angle for a 240° angle
The reference angle for a 240° angle is 60 degree.
What is a Reference Angle?Reference Angle is the acute angle between the terminal side and the x axis. The value of reference angle is always positive and less than 90 degree.
The angle is 240 degree, for which the reference angle has to be determined.
The angle 240 degree lies in the third quadrant between 180 and 270 degree.
To determine the reference angle, the given angle will be subtracted by 180 degree.
=> 240 - 180
=> 60 degree
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