Kaitlin spent 2/3 of an hour on homework. Her sister Judy spent 1 1/2 times that amount. Explain why Judy’s homework time is between 2/3 of an hour and 1/2 of an hour?

Answers

Answer 1

[tex]\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Judy spent time}}{\stackrel{\textit{Kaitlin's time}}{\cfrac{2}{3}}\cdot \cfrac{3}{2}}\implies \cfrac{2}{2}\cdot \cfrac{3}{3}\implies 1~\hfill \boxed{\cfrac{1}{2}}\rule[0.35em]{3em}{0.25pt}\stackrel{\stackrel{Judy's}{\downarrow }}{1}\rule[0.35em]{5em}{0.25pt}\stackrel{1\frac{2}{3}}{\boxed{\cfrac{2}{3}}}[/tex]

so, Judy's time is really 1 hour exactly.

and on the number line, we could place that 1 in between the first half and the two thirds of the of the next number, as you see above.

Answer 2

There is a mistake in the question as Judy's homework time cannot be between 2/3 and 1/2 of an hour if she spent 1 1/2 times as much time as Kaitlin who spent 2/3 of an hour. Judy's homework time would be 1 hour.

The question seems to have a typo or a logical error, as it is not possible for Judy's homework time, which is 1 1/2 times Kaitlin's time, to be between 2/3 of an hour and 1/2 of an hour. Instead, if Kaitlin spent 2/3 of an hour on homework, Judy would have spent (2/3) * (3/2) = 1 hour on homework, which is more than both 2/3 and 1/2 of an hour. It appears that Judy's actual homework time would be exactly one hour, not between the two given times.


Related Questions

What is the percent of decrease from 10 to 3?
Write your answer using a percent sign (%).

Answers

Final answer:

The percent of decrease from 10 to 3 can be calculated by finding the difference between the two numbers, dividing this difference by the original number, and multiplying the result by 100. This method gives us a decrease of 70%.

Explanation:

The question is looking to find the percent of decrease between two numbers, specifically from 10 to 3. To calculate this, we first find the difference between the two numbers (which is 10 - 3 = 7), then divide this difference by the original number (7 divided by 10 equals 0.7) and finally multiply the result by 100 to convert it to percentage form. This gives us a 70% decrease.

Here are the step-by-step calculations:

Find the difference between the two numbers: 10 - 3 = 7.Divide the difference by the original number: 7 / 10 = 0.7.Multiply the result by 100 to convert to a percentage: 0.7 x 100 = 70%.

So, the decrease from 10 to 3 is 70%.

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17.60 for a pack of 4. Find the unit price

Answers

Answer:

4.40 is that an option i did 17.60 divided by 4 it may be wrong

Step-by-step explanation:

This means it costs $17.60 for 4 pairs. Divide 17.60 by 4 to find the price per 1 unit. 17.60 / 4 = $4.40 per unit

Hope this helps!

X intercept for 2x +5y = -6

Answers

2x + 5y = -6
-5y -5y
___________
2x = -11y
__ ___
2 2
x = 5.5

Answer:

(-3, 0)

Step-by-step explanation:

The x-intercept is the value of x when y = 0.

                           2x +  5y   = -6

Set y = 0              2x + 5(0) = -6

                           2x            = -6

Divide each side by 2     x = -3

The x-intercept is at (-3, 0).

If f(x)=3x^2 and g(x)=√2, what is the value of (f×g)(8)​

Answers

Number one is correct, here is how:

[tex]fgx 8 \\Simplify \\ the \\ brackets\\8\sqrt{6}[/tex]

Have a great day!

I really need help!!

What’s 2 divided by 0.86?!?

Answers

2.32558139535 or it can just be 2.325

The answer For two divided by eighty six hundredths is forty three hundredths.

0.86/2. 0.43

In ΔVWX, the measure of ∠X=90°, XV = 27 feet, and WX = 57 feet. Find the measure of ∠V to the nearest degree.

Answers

Answer:

[tex]<V=65\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle VWX

[tex]tan(V)=\frac{WX}{XV}[/tex] -----> opposite side angle V divided by the adjacent side angle V

substitute the values

[tex]tan(V)=\frac{57}{27}[/tex]

[tex]<V=arctan(\frac{57}{27})=65\°[/tex]

Final answer:

To find the measure of ∠V, we take the ratio of XV to WX (opposite to adjacent side) and use the tangent function. By calculating tan(∠V) = 27/57 and taking the inverse tangent, we get ∠V ≈ 25° to the nearest degree.

Explanation:

To find the measure of ∠V in ∆VWX, where ∠X=90°, XV = 27 feet, and WX = 57 feet, we use the trigonometric ratios, specifically the tangent function, since we are dealing with a right-angled triangle and we have the lengths of the opposite side (XV) and the adjacent side (WX) to ∠V.

Step by Step Solution:

Use the definition of the tangent function: tan(∠V) = opposite/adjacent.

Substitute the known values: tan(∠V) = XV/WX = 27/57.

Calculate tan(∠V) = 0.4737.

Find the angle whose tangent is 0.4737 using an inverse tangent function on a calculator: ∠V ≈ 25° (to the nearest degree).

Therefore, the measure of ∠V is approximately 25°.

please help me with this math question. Help me check my answer and I need help with b​

Answers

Answer:

The work shown here is correct.

It simplifies to 17x + 36y + 5.

Step-by-step explanation:

In this situation, there are four different items being purchased. This means their will be a sum of 4 terms. Each term will be the number of the item times its cost. When added together, the four terms will represent the total cost.

7 pens at $x is 7x

5 pens at $(2x+3) is 5(2x+3)

y pens at $6 is 6y

(3y-1) pens at $10 each is 10(3y-1)

All together the cost expression is 7x + 5(2x+3) + 6y + 10(3y -1).

Simplify by applying the distributive property and combine like terms.

7x + 10x + 15 + 6y + 30y - 10

17x + 36y + 5

Plz help !!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex], hence

[tex]16^{\frac{1}{2} }[/tex] = [tex]\sqrt[2]{16^{1} }[/tex] = 4

Answer:  4

Step-by-step explanation:

[tex]16^{\frac{1}{2}}=\sqrt{16}=\sqrt{4\cdot 4}=\boxed{4}[/tex]

3. Mrs. LeBlanc is making a Pokémon box. The length of the box is 12 inches greater than its width, and its height is 5 inches less than its width. Find the dimensions of the Pokémon box formed, given that its volume is 9600 cubic inches. (Show all work including setting up the equation, simplifying the equation, listing the possible rational roots, testing the possible rational roots using synthetic division, and then identifying all of the dimensions.

Answers

Answer:

The width is 20 inches, the length is 32 inches and the height is 15 inches.

Step-by-step explanation:

Let x inches be the width of the box. If the length of the box is 12 inches greater than its width, then the length of the box is x+12 inches. If the height of the box is 5 inches less than its width, then the height of the box is x-5 inches.

The volume of box is

[tex]V=\text{length}\cdot \text{width}\cdot \text{height}\ in^3.[/tex]

Therefore,

[tex]9600=x\cdot (x+12)\cdot (x-5).[/tex]

Solve this equation:

[tex]x(x^2+12x-5x-60)=9600,\\ \\x^3+7x^2-60x-9600=0.[/tex]

The integer solutions of this equation can be among the divisors of -9600. The divisors of 9600 are:

[tex]\pm1, \pm2, \pm3, \pm4,\pm5,\pm6,\pm8,\pm10,\pm12,\pm15,\pm16,\pm20,\pm24,\pm25,\pm30,\pm32,....[/tex]

We can check all these divisors and see that x=20 is a solution, then using synthetic division

[tex]x^3+7x^2-60x-9600=(x-20)(x^2+27x+480).[/tex]

Since the quadratic factor has discriminant [tex]D=27^2-4\cdot 480=-1191<0,[/tex] we can state that the only solution is x=20 inches. The width is 20 inches, the length is 32 inches and the height is 15 inches.

The results of a recent science experiment are found to have a binomial distribution the experiment consisted of 185 trials in the probability of success and age trial was .712 find the mean .
a. 6.2
b 259.8
c 131.7
d. 37.9

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

mean = n x p

mean = 185 x 0.712

mean = 131.72

Answer is option C

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

The mean of age is 131.72. Therefore, option C is the correct answer.

Given that, a binomial distribution the experiment consisted of 185 trials in the probability of success and age trial was 0.712.

What is a binomial distribution?

The binomial distribution is a commonly used discrete distribution in statistics. The normal distribution as opposed to a binomial distribution is a continuous distribution. The binomial distribution represents the probability for 'x' successes of an experiment in 'n' trials, given a success probability 'p' for each trial at the experiment.

Here, mean= 185×0.712

= 131.72

The mean of age is 131.72. Therefore, option C is the correct answer.

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Plzzzzzzzzzzzzzzzzzz help meee

Answers

By using the formula a=bh, we would multiply 5×2 (10), 6×2 (12) (I got this because of the middle 4 by 2, the part that overlaps is 2 feet), and 4×2 (8). Then, we would add everything up and you would get 30 sqr. ft. Hope this helps!

Justin is training for a hamburger eating competition. He is eventually able to eat 15 hamburgers in 10 minutes. What is justin’s eating rate

Answers

Answer:

1.5 hamburgers per minute

Step-by-step explanation:

In 10 minutes, Justin can eat 15 burgers.

In 1 minute, Justin can eat 15/10 burgers.

15/10 = 1.5

Answer:

1.5 hamburgers per minute

Step-by-step explanation:

15/10 = 1.5

how we make 17/24 smaller

Answers

Answer:um you simplify it

Step-by-step explanation:

Final answer:

To make the fraction 17/24 smaller, you can increase the denominator or decrease the numerator, but it will change the value of the fraction.

Explanation:

To make the fraction 17/24 smaller, you need to increase the denominator (the bottom number) or decrease the numerator (the top number).

One simple way to do this is to add a number to 24 making it 25, 26, 27, and so forth while keeping the numerator as 17. The larger the denominator, the smaller the fraction is. Alternatively, you could decrease the numerator to 16, 15, etc, while keeping the denominator at 24. Again, the smaller the numerator, the smaller the fraction.

Also remember that the fraction must remain proper or else it will become a whole number and eventually bigger than 17/24.

Please note that these changes alter the value of the fraction, and therefore might not be accurate representations of whatever the fraction 17/24 is supposed to represent.

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Write the standard equation of a circle with center (-4,0) and radius 3.

Answers

Answer:

(x+4)^2 + y^2 = 9

Answer:

The correct answer is first  option

(x + 4)² + y² = 9

Step-by-step explanation:

Formula:-

Let (x₁, y₁) and 'r' be the radius of a circle the equation of the circle is given by

(x - x₁)² + (y - y₁)² = r²

To find the equation of the circle

Here (x₁, y₁) = (-4, 0) and r = 3

we have,

(x - x₁)² + (y - y₁)² = r²

(x - -4)² + (y - 0)² = 3²

(x + 4)² + y² = 9

Therefore the equation of the given circle  is (x + 4)² + y² = 9

The correct answer is first  option

Find the equation of the line.

Use exact numbers.

Y=___x+ ___

Please help

Answers

I just taught you how to do this, it’s really simple, try it yourself! I’ll give instructions again.

Use the equation Y=mx+b where m represents the slope and b is the y-axis point.

Finding b is easiest, so we’ll do that first. Again, b is the y axis point. So where does the line cross the y axis? That is the vertical line on the graph. The line crosses at point (0,5) so 5 is your b value.

Next find your m value, or slope. The slope is simply rise/run. Which means start at the y axis value, and count how many places you need to go down to find a perfect triangle shape. You simple go down two points, and then over one point to reach a perfect triangle. Therefore since you go down 2, your rise is -2 and since you go over 1, your run is 1. Rise/run=-2/1, this simplified is just -2. So that is your m value.

Finally, plug these into y=mx+b and get your answer of

Y=-2x+5

Best,

jrodt

U need to show more of the question

Helpppppp meeeeee!!!

Answers

Answer:

A. 63°

Step-by-step explanation:

Since line RU and line TU are tangent to the circle from a common point U, then RU = TU.

Therefore; Triangle RUT is an isosceles triangle.

Thus; m∠R = m∠T

Hence; m∠R = (180° -54°)/2

                     = 126°/2

                     = 63°

ABEF=CBED. The perimeter of CBED is 17. Find the length of BE

Answers

2.7. Because of the CPCTC theorem, like CB is equal to 5.9 so if you add the lengths of CB, CD, and ED and subtract this by 17, you find the length of BE which is 2.7

Answer:

Option B, 2.7 is the answer.

Step-by-step explanation:

Perimeter of CBED = CD + ED + BC + BE

                         17   =  5.6 + 2.8 + 5.9 + BE

[Since ABEF ≅ CBED  so  AB = BC = 5.9]

Now      17   =  14.3 + BE

             BE =  17 - 14.3

                 = 2.7

Therefore, Length of BE = 2.7

Option B, 2.7 is the answer.

Round your answers to one decimal place, if necessary. Find the mean and median of these data: 2, 5, 9, 11, 19, 21.

Answers

Answer:

mean is 11.167 the median is 10

Step-by-step explanation:

Hope this helps

The digits are 2,5,9,11,19,21

Mean is finding average by adding all value and then dividing by how many numbers

Mean=2,5,9,11,19,21 is 67 and than divide by 6 which would be 11.16 (11.2)

Median is arranging all numbers in chronological order and finding middle value

2,5,9,11,19,21

9+11 is 20 and than divide by 2 which makes it 10

Summary

Mean is 11.2

Median is 10

Plz help me i need it

Answers

Answer:   4

Step-by-step explanation:

f(x) = 4x³ - x² + 1        g(x) = x - 1

                                 g(2) = (2) - 1

                                        = 1

f(1) = 4(1)³ - (1)² + 1

     =  4   -   1   + 1

     = 4

use substitution to solve the system equation.


n=3m-11

2m+3n=0

Answers

Answer:

m = 3, n = -2.

Step-by-step explanation:

Substitute n = 3m - 11 in the second equation:

2m + 3(3m - 11) = 0

2m + 9m - 33 = 0

11m = 33

m = 3.

Substitute for m in n = 3m-11:

n = 3(3) - 11

n = -2.

8*10^4 is how many times as big as 4*10^-5

Answers

Answer:

80000/0.0004 = 2'000'000'000 or 2 x 10^-9

8*10^4 = 80'000

4*10^-5 = 0.00004

Step-by-step explanation:

Answer:

0,2

Step-by-step explanation:

[8*10^4] / [4*10^5]

2*[10000/100000]

0,2

Best regards

What is the reciprocal of 1/11

Answers

The reciprocal of the fraction 1/11 is equal to 11/1.

To answer this question you need to know what the reciprocal of a number is.

The reciprocal of a number is the number that will multiply that number and give a product of 1.

To find the reciprocal of a fraction, simply invert it such that the denominator becomes the numerator and the numerator becomes the denominator.

In this scenario therefore, the reciprocal of 1/11 is:

= 11/1

In conclusion, the reciprocal of 1/11 is 11/1.

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Tito went to a concert given by a jazz band. The band had 5 saxophone players and 4 trumpet players. What was the ratio of trumpet players to saxophone players in the band?

Answers

Your ratio is 5:4.

We have 5 saxophone players & 4 trumpet players.

So if we have 4 trumpet players we have our first number in our ratio which would be: [tex]4:?[/tex]

Our second number is 5, that 5 represents the saxophone players.

That brings that to our equation 5:4.

Have an amazing day.

The ratio of trumpet players to saxophone players in the band is 4:5. This means there are 4 trumpet players for every 5 saxophone players.

To find the ratio of trumpet players to saxophone players in the band, we need to compare the numbers of each type of player.

The number of trumpet players is 4.The number of saxophone players is 5.We express the ratio of trumpet players to saxophone players as 4 to 5, which is written as 4:5.

So, the ratio of trumpet players to saxophone players in the band is 4:5.

This means that for every 4 trumpet players, there are 5 saxophone players.

NEED HELP ASAP WILL MARK BRAINLIEST



the angle of elevation from mindy to a cell phone tower is 75. if mindy is standing 28 feet from the base of the tower, find the height of the tower


A) 104.5 ft

B) 105.8 ft

C) 106.1 ft

D) 107.4 ft

E) 108.9 ft

Answers

Final answer:

To find the height of the tower given the angle of elevation and distance from the observer to the tower's base, the tangent function is used. The height is calculated as 28 feet multiplied by tan(75 degrees), resulting in approximately 105.8 feet.

Explanation:

The student is asking for help with a trigonometry problem involving the angle of elevation to calculate the height of a tower. In this case, we are given the angle of elevation as 75 degrees and the distance from Mindy to the base of the tower as 28 feet. To find the height of the tower, we use the tangent function, which is the ratio of the opposite side to the adjacent side in a right-angled triangle.

So, we have:
tan(75 degrees) = opposite/adjacent
tan(75 degrees) = height of tower/28 ft

Therefore, to find the height of the tower, we can write this equation as:
height of tower = 28 ft × tan(75 degrees)

By calculating this using a calculator, we find the height of the tower to be approximately 105.8 feet, which corresponds to option B.

What is the area of this figure? do not round any side lengths. Please help me.

Answers

Answer:

hmmmm lemme think

Step-by-step explanation:

X=10
3x+3y= 20
What is the solution (x,y) of the system

Answers

Answer:

(10, -10/3)

Step-by-step explanation:

We're told that x = 10.  Substitute 10 for x in the 2nd equation:  

3(10) + 3y = 20.  Subtracting 30 from both sides, to isolate 3y, we get:

3y = -10

Dividing both sides by 3, we get:  y = -10/3.

The desired solution is (10, -10/3).

First thing first you need to arrange your numbers in away so you can solve and understand .
3(10)+3y=20
30+3y=20
-20+3y=20
10=3y
Y=-10/3
Y=-3+1/3


Write and solve an equation that represents the
following:
Ten less than a number is equal to nine.

Answers

Let n represent the unknown number

n-10=9

+10 +10

—————

n=19

Brainliest??

About how many people out of 350 would likely wear blue jeans?

Answers

Answer:84

Step-by-step explanation:

Set up a proportion

36/150 =x/350

Cross multiply then divide

Answer:

84 people wear blue jeans.

Step-by-step explanation:

This is the same out of questions that are multiples of each other, except we have to use decimals. 350/150 is 7/3, so we know in order to get 350 with 150, we need to multiply 7/3. Now, we multiply 36 by 7/3 to get 84 as our answer

What is the area of a circle whose radius is 6 ft?

Answers

6 x 6 = 36 x 3.14 = 113.04

Area = 113.04

5x-12=13 what is x. ​

Answers

Answer:

x=5

Step-by-step explanation:

5x-12=13

Add 12 to each side

5x-12+12 =13+12

5x = 25

Divide by 5

5x/5 = 25/5

x = 5

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