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.
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.
which graph represents the equation y=3x^2+12x-6
A sample in which every member of the sampling frame has an equal chance of being selected.
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.
On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40 minutes longer to climb up than run down, what is the total length of Ted's hike?
So the other guy has the right work but at the end he messed up. The real answer is 10 miles.
By establishing the relationship between Ted's uphill and downhill travel times, we can set up an equation to solve for the one-way distance D of the hike. We find that the one-way distance D is 5 miles, making the total length of the hike 10 miles.
Explanation:On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40 minutes longer to climb up than run-down, we need to figure out the total length of Ted's hike.
First, let's establish the relationship between the times it takes Ted to hike up and run down the hill. If T is the time it takes to run down, then the time to hike up is T + 40/60 hours (since 40 minutes is two-thirds of an hour).
Let D be the distance of the hike one way. As Ted climbs up at a rate of 3 miles per hour, the uphill time is D/3. Running down at a rate of 5 miles per hour, the downhill time is D/5. We can set up the following equation:
D/3 = D/5 + 40/60
Multiplying through by 15 to eliminate fractions, we get:
5D = 3D + 10
This simplifies to:
2D = 10
Dividing by 2:
D = 5 miles
Since the total hike involves going up and then down the same distance, the total length of the hike is:
Total Length = 5 miles + 5 miles = 10 miles.
An isosceles triangle has a perimeter of 82 cm. The lengths of the legs of the triangle are represented by (3x +2) and (5x-14). Find the length of the base of the triangle.
The triangle's base measures 82 in length.
What is the Permeter of a traingle?
The perimeter of any polygon is equal to the sum of its side lengths. Considering a triangleSum of the three sides equals the perimeter.Units are always a part of the ultimate response. The final solution should be given in centimeters if the triangle's sides are in that unit.According to our question,
IF (3X+2) & (5X-14) ARE THE EQUAL SIDES THEN
3X+2=5X-14
-2X=-16
X=-16/-2
X=8
THUS THE EQUAL SIDES ARE
3*8+2=24+2=26
5*8-14=40-14=26
SO
82=BASE+26+26
BASE=82-52
B=30 CM.
30+26+26=82
82=82
Hence we can say that the triangle's base measures 82 in length.
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Final answer:
The lengths of the two legs of the isosceles triangle are equal, and by setting the expressions for these lengths equal to each other and solving for 'x', we find that the length of the base of the triangle is 30 cm.
Explanation:
The perimeter of an isosceles triangle is given as 82 cm. The two legs are represented by the expressions (3x + 2) and (5x - 14). Since it is isosceles, these two expressions must be equal because the lengths of the legs are equal, as stated by the theorem.
First, set the expressions equal to each other to find the value of 'x':
3x + 2 = 5x - 14
We then solve for 'x' by subtracting 3x from both sides and adding 14 to both sides:
16 = 2x
x = 8
After finding 'x', we can determine the length of one of the equal sides by substituting 'x' back into either of the original expressions:
Length of one side = 3x + 2 = 3(8) + 2 = 26 cm
Since we have two sides of the same length, we multiply by 2 to find the total length of the two legs:
Total length of two legs = 26 cm imes 2 = 52 cm
To find the length of the base, subtract the total length of the two legs from the perimeter:
Length of the base = 82 cm - 52 cm = 30 cm.
Therefore, the length of the base of the isosceles triangle is 30 cm.
A bakery sells packages of 6 cupcakes for $10. If the bakery starts selling the cupcakes in packages of 12, how much would you expect a packet of 12 to cost?
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.
Help pleeeeease
Theo deposited $1,250 in a savings account that pays 6% interest, compound quarterly. What was his balance at the end of the second quarter after the interest had been added?
A. $1,270.31
B. $1,270.65
C. $1,290.62
D. $1,287,78
Please explain your answer clearly! and explain how you got it!
what is 10.85 divided by blank equals 1.55. what is the missing number
Given a standard deck of cards, what is the probability of drawing a face card, given that it is a red card?
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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Write the first 4 terms in the sequence defined by the explicit rule f(n)=n^2 - 5 *n^2 means n squared
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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Algebra help please!
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.
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:
What is the greatest common factor for 96, 72 48?
A segment has endpoints with coordinates - 3 and 4. What is the coordinate of the segment's midpoint?
How do you use a Number line to multiply two digit numbers by 20
Over a 8 week period, the price of an MP3 player dropped steadily, from $82 to $26. What is the average weekly change in the price of the MP3 player over this period?
if angle A has a measurement of 42 degree and is complementary to angle B whats the measurement of angle B
A car repair shop shop charged 80$ per hour for labor and210 for car parts it it all cost 490 how many hours did it take
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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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
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?
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
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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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A fair coin is tossed four times. what is the probability that the sequence of tosses is hhtt?