Jennifer ran 4/5 of a mile on Monday. She ran 1 2/3 times as far on Tuesday. How far did she run on Tuesday?
1 4/15 miles
1 1/3 miles
2 7/15 miles
3 1/3 miles
Answers
Jennifer ran [tex]1\frac{1}{3}[/tex] miles on Tuesday.
What is multiplication?Multiplication is when you take one number and add it together a number of times. Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20.
Given that, Jennifer ran 4/5 of a mile on Monday. She ran [tex]1\frac{2}{3}[/tex] times as far on Tuesday, we need to find how far did she run on Tuesday,
Since, she ran 4/5 times mile,
And, on Tuesday she ran [tex]1\frac{2}{3}[/tex] times as far Monday,
On Tuesday she will run = 4/5 × [tex]1\frac{2}{3}[/tex]
= 4/5 × 5/3
= 4/3
= [tex]1\frac{1}{3}[/tex]
Hence, Jennifer ran [tex]1\frac{1}{3}[/tex] miles on Tuesday.
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Related Questions
What is the runner’s average rate of change between the hours: 0.5 and 2? mph 1.5 and 2.5? mph Average Rate of Change
Answers
Answer:
4mph
5mph
slower
Step-by-step explanation:
i did it
To calculate the average rate of change, divide the total change in distance by the total change in time. Without the specific distance covered in the given durations, it's impossible to provide absolute answers, but an example calculation has been given using an average speed of 9.5 mph.
Explanation:In your question, the average rate of change refers to the change in distance with respect to time, also known as velocity or speed. Since there are no concrete values mentioned in your question for the distances covered by a runner between time 0.5 and 2 hours, and 1.5 to 2.5 hours, it would be impossible to provide an accurate answer without such data.
However, allow me to explain how you could calculate these values. If you assume that a runner has the marathon runner's average speed of 9.5 miles per hour, then the average rate of change, or average speed, over a certain time period is just the total change in distance divided by the total change in time. For instance, if the runner covered 9.5 miles between 0.5 and 2 hours, then the average rate of change would be 9.5 miles per 1.5 hours, or approximately 6.33 mph. This same method would apply to calculations between 1.5 and 2.5 hours.
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A bus traveled 472 miles at a constant rate in 16 hours. What was the speed of the bus?
miles per hour
Answers
[tex]472 \div 16[/tex]
Your final answer should be 29.5 m/hr
Answer:
29.5 miles per hour.
Step-by-step explanation:
We have been given that a bus traveled 472 miles at a constant rate in 16 hours. We are asked to find the speed of the bus.
We will use speed formula to solve our given problem.
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]\text{Speed}=\frac{472\text{ Miles}}{16\text{ hours}}[/tex]
[tex]\text{Speed}=\frac{29.5\text{ Miles}}{\text{ hour}}[/tex]
Therefore, the speed of the bus is 29.5 miles per hour.
Find the value of xx that makes m ∥ n.
Answers
If the lines are parallel, they are supplementary.
The sum of the measures of supplementary angles is 180.
150 + 3x - 15 = 180
135 + 3x = 180
3x = 45
x = 15
The earnings of two employees are given below: Employee A: 6% commission on all sales Employee B: 4% commission on the first $80,000 and 8% on anything over $80,000 How much more does a straight commission employee make than the graduated commission employee for sales of $100,000?
Answers
B: (80000 x 0.04) + (20000 x 0.08) =4800
A makes $1200 more than b
Hope this helps
Employee A makes $1,200 more than Employee B for sales of $100,000.
The earnings of Employee A are:
= Commission rate x Sales
= 6% x 100,000
= $6,000
The earnings of employee B are:
= Commission on first $80,000 + Commission on anything above $80,000
= (4% x 80,000) + (8% x (100,000 - 80,000)
= 3,200 + (8% x 20,000)
= $4,800
The difference is:
= Employee A commission - Employee B commission
= 6,000 - 4,800
= $1,200
In conclusion, Employee A makes $1,200 more than Employee B for sales of $100,000.
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What is the mathematical sentence for 7 is subtracted from a number y. then the result is multiplied by 3. the final answer is less than or equal to 12?
Answers
_
Ollie is catering a dinner party for more than 26 guests. Each guest has a choice between a vegetarian dinner or a steak dinner. The vegetarian dinner is $20 per plate and the steak dinner is $30 per plate. Ollie can spend no more than $690 on the entire party. If Ollie wants to purchase the most amount of food and still stay within budget, which combination of vegetarian and steak dinners is optimal?
Answers
If both types of meals need to be purchased, 33 vegetarians and 1 steak. If only vegetarians are purchased, the cost is cheaper by $10.
The longer base of isosceles trapezoid is 12 cm. the side is 5 cm. the acute angle is 37º. find the shorter base.
Answers
The shorter base of the isosceles trapezoid is approximately 6 cm.
Explanation:To find the shorter base of the isosceles trapezoid, we need to use the properties of the trapezoid. Firstly, let's draw the isosceles trapezoid and label the given information.
The longer base is 12 cm, the side is 5 cm, and the acute angle is 37º. We can see that the trapezoid has two congruent triangles, and we can find the height of the triangle using trigonometry.
Step 1: Find the height of the triangle using the sine of the acute angle.
sine(37º) = opposite / hypotenuse
sin(37º) = h / 5
h = 5 * sin(37º) ≈ 3 cm
Step 2: Use the height to find the shorter base of the trapezoid.
The shorter base can be found by subtracting twice the height from the longer base.
shorter base = longer base - 2 * height
shorter base = 12 cm - 2 * 3 cm
shorter base = 12 cm - 6 cm
shorter base ≈ 6 cm
Therefore, the shorter base of the isosceles trapezoid is approximately 6 cm.
point P coordinates (-6,6) and P' is it's reflection across the x axis
Answers
How do you find the answer for 7x-(3x+8)
Answers
Simplify the Expression:
[tex]=7x-(3x+8)[/tex]
Distribute the Parenthesis. How? Multiply the contents of the parenthesis by the value outside of the parenthesis:
[tex]=7x-1*3x+-1*8[/tex]
[tex]=7x-3x-8[/tex]
Combine Like terms.
The Answer Is:
[tex]=4x-8[/tex]
Hope this helps.
-Benjamin
if the discriminant of an equation is positive, which of the following is true of the equation?
A. it has one complex solution
B. it has two real solutions
C. it has one real solution
D. it has two complex solutions
Answers
It can have one solution only if D=0 and complex solutions only if D<0.
D means discriminant
Answer: B it has two real solutions
hope this helps :)
Kyle has 125 marbles. Fifty of these marbles are red and the rest are other colors. What is the ratio of the number of red marbles to the total number of marbles expressed in simplest terms?
Answers
Answer:
2/5
Step-by-step explanation:
its asking in "simplest terms" so you would divide the number of marbles Kyle has by the 50 red marbles. 125 divide by 50 is 2.5 which equals to 2/5.
So 2/5 will be your answer. Hope this helps <3
Which of the following best represents the average speed of a fast runner? (1 point) 10 meters per second 10 miles per minute 10 centimeters per hour 10 kilometers per second
Answers
Answer:
10 meters per second
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
The best representation would be 10 meters per second. Usain Bolt, The fastest person person alive runs at approximately 12.5 meters per second.
10 miles per minute would be insanely fast. That is equivalent to 600 miles per hour, no human can run at that speed. Cars do not even reach that speed. Same goes for 10 kilometers per second.
10 centimeters per hour is incredibly slow. Although 470 times faster than a snail it is incredibly slow for a human.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Four consecutive integers that total -86
Answers
Management theories of leadership focus on which of the following?
A. Situations <--- My Answer
B. The leader's style
C. Rewards and punishments
D. Relationships
2. In which conflict style do people often have a firm idea of what they want to see happen and they will fight to make that happen?
A. Collaborative
B. Competitive
C. Compromising
D. Accomodating
3. With a de-emphasizing approach to conflict, the focus is put on which of the following?
A. Areas of agreement
B. Differences in personality
C. Points of contention
D. All of the above
4. Behavioral theories of leadership argue that leaders are born, not made.
True
False
Answers
2)Competitive
3)Areas of agreement
4)True
Hope this helps!
The sophomore class sold a total of 700 adult and student tickets to the school play. adult tickets sold for $4.50 each, and student tickets cost $2.00 each. if they took in a total of $1,200, which system of equations can be used to find x, the number of student tickets sold, and y, the number of adult tickets sold
Answers
Answer:
Step-by-step explanation:
Given that the sophomore class sold a total of 700 adult and student tickets to the school play. adult tickets sold for $4.50 each, and student tickets cost $2.00 each.
Total = 1200
x, the number of student tickets sold, and y, the number of adult tickets sold
Then we have
[tex]x+y =700\\4.5x+2y = 1200[/tex]
These are the system to solve for x
5. A gym membership costs $30 to join and $12 each month. Write and use an algebraic expression to find the cost of the gym membership for 6 months.
Answers
or
y=12x+30
x is the variable for the number of months.
Y is the total cost of the membership.
1. Solve the system by substitution- 2x+y=-11, 3x-4y=11.
Answers are:
C
B
B
C
A
Answers
Thank you so much T-T
What is x-intercept of the line with the equation 4×+2y=12?
Answers
to solve, plug in 0 for y
4x+2(0)=12
4x=12
x=3
4×+2y=12
4X+ 2 (0)= 12
4X =12
X=12/4 = 3
One positive number exceeds another by 4, and their product is 60. Find the numbers.
Answers
things you cant assume from a diagram
Answers
Here are some few things you can't assume from a diagram.
1) No diagram is drawn to scale.
2)If angles appear to be right angles, you can’t assume they are right angles unless the test says so, or unless a little “perpendicular square” appears in the diagram.
3) If lines appear parallel or perpendicular, you cannot assume either if it’s not specified.
4) If lengths appear equal, they may not be.
Best of luck with your studies!
The total area or NC is 53,800 square miles. Land accounts for 48800 square miles. What percent of North Carolina is covered in water?
Answers
53,800 sq mi - 48,800 sq mi = 5,000 sq mi are covered by water.
To find a percent, divide the part by the whole and multiply by 100.
Part = 5,000 sq mi; whole = 53,800 sq mi.
% of water = 5,000/53,800 * 100 = 0.092936 * 100 = 9.29%
9.3% of North Carolina is covered in water.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To find the percent of North Carolina covered in water, we need to subtract the land area from the total area, and then express the result as a percentage.
The water area is:
53,800 - 48,800 = 5,000 square miles
To express this as a percentage, we need to divide the water area by the total area and then multiply by 100:
(5,000 / 53,800) x 100 = 9.3%
Therefore, 9.3% of North Carolina is covered in water.
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Math problem...
375
x 6
------
Answers
The mathematics question asks to multiply the numbers 375 and 6. By following the multiplication process, we find the answer to be 2250, which is a basic arithmetic operation in middle school mathematics.
The student has presented a multiplication problem, which is a basic arithmetic operation in mathematics. The problem can be solved by multiplying the two numbers given, 375 and 6. The calculation goes as follows:
Multiply the digit in the one's place of the bottom number (6) by each digit of the top number (375), starting from the one's place of the top number.
Write down the result of each multiplication and carry over any tens if necessary.
After you complete the multiplication process, add any carried-over numbers to the resultant product.
The completed multiplication should give you the final answer to the problem.
Example Calculation:
375
x 6
------
2250
Here, the answer to the multiplication problem is 2250.
Each small square on the grid is 1 ft².
Which estimate best describes the area of this figure?
25 ft²
35 ft²
50 ft²
65 ft²
Answers
see the attached figure to better understand the problem
we know that
the area of the figure is the area of the square minus the areas marked with x
area of the square is equal to
[tex]A1=8*8=64\ ft^{2}[/tex]
the areas marked with x is equal to
[tex]A2=15\ ft^{2}[/tex]
so
the area of the figure is
[tex]A=A1-A2 \\ A=64-15=49\ ft^{2}[/tex]
therefore
the answer is
[tex]50\ ft^{2}[/tex]
Answer: here is the k12 test answer
Step-by-step explanation:
Suppose we build a sequence of numbers using the method of adding the previous two numbers to build the next one. this time, however, suppose our first two numbers are 2 and 1. generate the first 15 terms. this sequence is called the lucas sequence and is written as l1, l2, l3 , …. compute the quotients of consecutive terms of the lucas sequence as we did with the fibonacci numbers. what number do these quotients approach? what role do the initial values play in determining what number the quotients approach? try two other first terms and generate a sequence. what do the quotients approach?
Answers
quotients are 0.5 ,2,1.333,1.571,1.636,1.611, 1.621,1.617, 1.6184,1.6179,1.6181,1.6180,1.61801, 1.61804
The ratios are approaching the Golden Number.
If we try 2 other first 2 terms say 3 and 2:
we get 3,2,5,7,12,19,31,50,81,131,212,343, 555, 898
quotients are 0.67,2.5,1.4,1.714,1.5833,1.631 , 1.612, 1.62,1.617, 1.6183
,1.6181,1.61801 Again we are approaching the golden number
The sequence is given below:
What is sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given:
The table showing the sequence of the first 15 terms is:
Sequence Term Quotient
1 2 2
2 1 2 (2 / 1)
3 3 (2 + 1) 0.333 (1 / 3)
4 4 (1 + 3) 0.750 (3 / 4)
5 7 (3 + 4) 0.571 (4 / 7)
6 11 (4 + 7) 0.633 (7 / 11)
7 18 (7 + 11) 0.611 (11 / 18)
8 29 (11 + 18) 0.621 (18 / 29)
9 47 (18 + 29) 0.617 (29 / 47)
10 76 (29 + 47) 0.618 (47 / 76)
11 123 (47 + 76) 0.618 (76 / 123)
12 199 (76 + 123) 0.618 (123 / 199)
13 322 (123 + 199) 0.618 (199 / 322)
14 521 (199 + 322) 0.618 (322 / 521)
15 843 (322 + 521) 0.618 (521 / 843)
The quotient converges around the value of 0.618, as shown in the above table.
The preceding sequence is a Lucas adaptation of the so-called Fibonacci sequence, where the initial two numbers serve as seeds and result in the quotient known as the "Golden Ratio," which is created by adding the previous two consecutive terms in each term.
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Ken and roberta each sold fifty tickets for the school play. the cost of a student ticket was three fourths the cost of an adult ticket. roberta sold ten more student tickets that adult tickets and collected a total of $212.50.
a. how many tickets did roberta sell?
b. what was the cost of a student ticket?
c. if ken collected $200 in all, how many student tickets did he sell?
Answers
Roberta sold 30 tickets in total, with 10 adult tickets and 20 student tickets. The cost of a student ticket was $3. Ken collected $200 in total and sold 20 student tickets.
Explanation:To solve this problem, we can set up two equations based on the given information. Let's use variables to represent the unknown quantities.
Let's say the cost of an adult ticket is A dollars. Then the cost of a student ticket would be 3/4 of A dollars, or (3/4)A dollars.
Based on the information given, we can set up the following equations:
Robera sold 10 more student tickets than adult tickets, so let's say she sold X adult tickets and X + 10 student tickets.
The total collected by Roberta was $212.50, so we have the equation:
(A * X) + ((3/4)A * (X + 10)) = $212.50
Ken sold 50 tickets in total, so he sold 50 - (X + 10) student tickets. The total collected by Ken was $200, so we have the equation:
((3/4)A * (50 - (X + 10))) + (A * X) = $200
Now we can solve these equations to find the values of X and A.
Plugging in A = 4, we get X = 10. Therefore, Roberta sold 10 adult tickets and 20 student tickets. The cost of a student ticket was (3/4) * 4 = $3.
In conclusion, Roberta sold 30 tickets in total, with 10 adult tickets and 20 student tickets. The cost of a student ticket was $3. Ken collected $200 in total and sold 20 student tickets.
In right triangle ABC, B = 51° and AB = 14.
BC = _____
8.8
10.8
11.3
Answers
Given: the triangle is a right triangle, find a.
(The side opposite angle A.)
Answer:
a = 8.8104 ≈ 8.8
Step-by-step explanation:
∠A = ?, ∠B = 51°, ∠C = 90°
∠A = 180° - ( ∠B + ∠C )
∠A = 180° - ( 51° + 90° ) = 180° - 39°
∠A = 39°
[tex]\frac{a}{sin A}=\frac{b}{sin B} =\frac{c}{sin C}\\\\\frac{a}{sin39degrees}=\frac{14}{sin90degrees}\\\\\frac{14}{sin90degrees}*sin39degrees\\\\= 14 * 0.629\\= 8.8104[/tex]
So side a or BC = 8.8
Which expression is equal to (x+2)(−3x2+3x+1)?
−3x2−3x+2
−3x2+5x+3
−3x3−3x2+7x+2
−3x3+9x2−5x+2
Answers
-3x^3 + 3x^2 + x
Multiply everything in the second parenthesis by 2.
-6x^2 + 6x + 2
Combine these two equations together.
-3x^3 + 3x^2 + x - 6x^2 + 6x + 2
Combine like terms.
-3x^3 - 3x^2 + 7x + 2
Hope this helps!
Option C is correct. The required product of the functions is -3x³ - 3x² + 7x + 2
Given the functions (x+2) and (-3x² + 3x + 1)
Taking the product of the functions:
= (x+2)(-3x² + 3x + 1)
Expand the bracket
= x(-3x²) + x(3x) + x(1) + 2(-3x²) + 2(3x) + 2(1)
= -3x³ + 3x² + x - 6x² + 6x + 2
Collect the like terms;
= -3x³ + 3x² - 6x²+ x + 6x + 2
= -3x³ - 3x² + 7x + 2
Hence the required product of the functions is -3x³ - 3x² + 7x + 2
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which would not be a step in solving 5x + 15 + 2x = 24 + 4x?
A. Isolate the variable.
B. Collect variable terms on one side.
C. Collect like terms.
D. Use the distributive property.
Answers
Hope this helps!
The step that would not be necessary in solving 5x + 15 + 2x = 24 + 4x is D. Use the distributive property.
What is an equation?An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.
To solve the equation 5x + 15 + 2x = 24 + 4x, we need to simplify and manipulate the equation to isolate the variable on one side.
First, we can combine like terms:
5x + 2x - 4x = 24 - 15
3x = 9
Then, we can isolate x by dividing both sides by 3:
x = 3
Therefore, the correct steps to solve this equation are:
B. Collect variable terms on one side.
C. Collect like terms.
A. Isolate the variable.
We do not need to use the distributive property in this problem.
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Find the area of the polygon with the given vertices. w(0, 0), x(0, 3), y(−3, 3), z(−3, 0)w(0, 0), x(0, 3), y(−3, 3), z(−3, 0)
Answers
Roy realized that some other conditions or constraints apply. Write an inequality for each constraint described below.