Katie's age is two times Thomas age. The sum of their ages is 33. What is Tomas age?

Answers

Answer 1
Katie's age is 22 and Thomas's is 11
Answer 2
Kate :22 Thompson : 11

Related Questions

The next train will arrive in 32 minutes and 30 seconds. In how many seconds will the next train arrive

Answers

you need to multiply the 30 with the 32
60x32=1920 +30= 1950 seconds

50779 divided by 590 equals

Answers

50779 / 590 = 86.06610169

But, you can round this to equal 86.1.

99 POINTS POSSIBLE!!!! I have a lot of math problems.....Please show your work also:) I will give Brainiest too!

1.Chase picked three buckets of blackberries that weigh: 2.79 pounds, 2.45 pounds, and 2.62 pounds. What is the average weight for the three buckets?

2. Ashley is baking cookies for math class. The recipe calls for 4 4/5 cups of flour. Ashley has to make 1 1/3 times the recipe to feed the whole class. How much flour does Ashley need?

3. Jordan finished her homework in 1 1/2 hours. It took Kasey 3/4 an hour longer than Jordan to finish her homework. How long did it take Kasey?

4. 32.5 divided by -0.08

5. 4.3x= 81.7 (Decimal Equation)

Thank you for helping me if you did!!!!!!!! I really appreciate it very much!!!!!!!

Answers

1) average weight=the sum of weights divided by number of buckets
average weight=(2.79+2.45+2.62)÷3
=2.62

2) recipe calls for 4 4/5=4+(4÷5)
=4.8
1 1/3=1+(1÷3)=4/3
So 4.8 times 4/3=6.4

3) Jordan took 1+1/2=1.5 hours
Kasey 3/4 an hour longer than Jordan
So Kasey took 1.5+(3÷4)=2.25 hours

4) 32.5÷(−0.08)=−406.25

5) 4.3x= 81.7
Solve for x by dividing both sides by 4.3 to get
X=81.7÷4.3
X=19

Hope it helps!

Hello!

1) 2.62

2) 4.8

3) 6.4

3) 2.25 hours

4) −406.25

5) X=19

I hope it helps!

A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.

Answers

$819 to make an average 1,000 within 3 day period
(1073 + 1108 + x) / 3 = 1000
(2181 + x) / 3 = 1000
2181 + x = 1000 * 3
2181 + x = 3000
x = 3000 - 2181
x = 819 <=== the restaurant would need to make $ 819

An acidophilus culture containing 150 bacteria doubles in population every hour. Predict the number of bacteria after 12 hours.

Answers

150 bacteria doubles every hours.Predict the number of bacteria after 12 hours.

 So 150(2)^12 =  614,400
The answer is 1228800 i hope it helps!

Fritz drives to work his trip takes 36 ​minutes, but when he takes the train it takes 20 minutes. Find the distance Fritz travels to work if the train travels an average of 32 miles per hour faster than his driving. Assume that the train travels the same distance as the car.

Answers

recall your d = rt, distance = rate * time

so, let's say Fritz travel by Car at a speed of "r", if the Train runs faster then his car, then the Train runs at "r+32".

Bear in mind that, he travels from home to work by Car or Train, so, the distance if the same for either vehicle, let's say is "d" miles.

[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{minutes}{time}\\ &-----&-----&-----\\ Car&d&r&36\\ Train&d&r+32&20 \end{array} \\\\\\ \begin{cases} \boxed{d}=36r\\ d=20(r+32)\\ ----------\\ \boxed{36r}=20(r+32) \end{cases} \\\\\\ \cfrac{36r}{20}=r+32\implies \cfrac{9r}{5}=r+32\implies 9r=5r+160 \\\\\\ 4r=160\implies r=\cfrac{160}{4}\implies \boxed{r=40}[/tex]

so... he travels at 40mph for 36 minutes, now, 36minutes is not even an hour, is 36/60 or 3/5 hr, so...    [tex]\bf 40\cdot \cfrac{36}{60}\implies 40\cdot \cfrac{3}{5}\implies \stackrel{miles}{24}[/tex]

The distance Fritz travels to work is 24 miles if Fritz drives to work his trip takes 36 minutes, but when he takes the train it takes 20 minutes.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

Fritz drives to work his trip takes 36 ​minutes, but when he takes the train it takes 20 minutes.

Let the distance Fritz travels to work is x.

As we know,

1 hour = 60 minutes

36/60 = 0.6 hrs

20/60 = 0.33 hrs

Speed = distance/time

Train speed - drive speed = 32

x/0.33 - x/0.6 = 32

After simplification:

9d - 5x = 96

4x = 96

x = 96/4

d = 24 miles

Thus, the distance Fritz travels to work is 24 miles if Fritz drives to work his trip takes 36 minutes, but when he takes the train it takes 20 minutes.

Learn more about the distance here:

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Complete the general form of the equation of a sinusoidal function having an amplitude of 1, a period of pi/2, and a vertical shift up 3 units.

y =

(I don't have the option to use the characters "/" or "[tex] \pi [/tex]" so they must not be in the answer.

Answers

The period   will change coefficient of x  by  2 pi / pi/2  = 4
and the  vertical shift will  add 3  so its

sin 4x + 3

Hope this helps

Answer:

y = sin 4x + 3

Step-by-step explanation:

A sine function is represented as y = a sin(bx + c) + d

Given values in the question are a = amplitude = 1

period = π/2 = 2π/b

Vertical shift d = 3 units up.

Horizontal shift c = 0

Since 2π/b = π/2

[tex]b=\frac{2\pi }{\frac{\pi }{2}} =\frac{4\pi }{\pi }=4[/tex]

Now the sinusoidal function will be

y = 1. sin( 4x ) + 3

y = sin 4x + 3

Suppose that x is the age of a husband, and y is the age of his wife. if men always marry women who are 3 years younger than themselves, what is the equation for y (wife's age) as a function of x (husband's age)?

Answers

Ok so if the husband is for y and he is 32 and wife is y and she 23 so x-y-32-23 that equals to xy=9

Avery's class sold candy bars for a fundraiser. There were 20 bars in each box. Avery sold 4 boxes and an additional 8 bars. Express the total number of boxes that Avery sold as a mixed number. How many candy bars did Avery sell?

Answers

he sold 8 and 4/20 boxes
he solde 8 and 1/5 boxes


he sold 8(20)+4 or 160+4 or 164 candy bars

Answer:

she sold 4 2/5 boxes of candy bars.

In total, she sold 88 bars.

:))

Step-by-step explanation:

Toby is making a picture graph each picture of a book is equal to 2 books he read the row for month 1 has 3 pictures of books how many books did T
oby read during month 1

Answers

5 books because u have to add or multiply

Toby read 6 books during the first month by using the picture graph where each picture represents 2 books.

To determine how many books Toby read during month 1, follow these steps:

Understand each picture of a book represents 2 books read.Observe that Toby has 3 pictures of books for month 1.Multiply the number of pictures by the number of books each picture represents: 3 pictures * 2 books per picture = 6 books.

Toby read 6 books during the first month.

Can someone please help I need a clear explanation on how to solve this equation.
At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school mascot. Four times as many students chose Bulldog as chose Tiger. Twice as many students chose Lion as chose Tiger. How many students chose Lion?

Answers

b = amount of students who chose Bulldog

n = amount of students who chose lion

t = amount of students who chose tiger

so.. "t" chose tiger, ok

"Four times as many students chose Bulldog as chose Tiger"
namely, if "t" chose tiger, then 4 times that many chose Bulldog, thus

b = 4t

"Twice as many students chose Lion as chose Tiger"
namely, if "t" students chose tiger, twice as many chose lion

n = 2t

now, we know a total of 273 students were surveyed, thus

[tex]\bf \begin{cases} b+n+t=273\\ \boxed{4t}+\boxed{2t}+t=273 \end{cases} \\\\\\ 7t=273\implies t=\cfrac{273}{7}\impliedby \textit{that many chose \underline{tiger}}[/tex]

Answer:

78 students chose lion.

Step-by-step explanation:

Let x students chose tiger.

Let y students chose bull dog.

Let z students chose lion.

Total students = 273

[tex]x+y+z=273[/tex]           ....(1)

Four times as many students chose Bulldog as chose Tiger.

[tex]y=4x[/tex]

Twice as many students chose Lion as chose Tiger.

[tex]z=2x[/tex]

Substituting the values of y and z in (1)

[tex]x+4x+2x=273[/tex]

=> [tex]7x=273[/tex]

x = 39   (students who chose tiger)

We have to find students who chose Lion or z (defined above)

[tex]z=2x[/tex]

[tex]z=2(39)[/tex]

So, z = 78

Therefore, 78 students chose lion.

For rhombus LMNO, m∠LON = 102° and NP = 5 units. Use the diagram of rhombus LMNO to find the missing measures. The measure of ∠LPM is °. The measure of ∠PMN is °. The length of LN is units.

Answers

LPM = 90

PMN = 51

LN = 10

Answer:

1. 90

2. 50

3. 10

Step-by-step explanation:

Differentiate
y=(6x)/(1-cot(x))

Answers

[tex]\bf y=\cfrac{6x}{1-cot(x)}\implies \cfrac{dy}{dx}=\stackrel{quot ient~ru le}{\cfrac{6[1-cot(x)]~-~6x[-csc^2(x)]}{[1-cot(x)]^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{6-6cot(x)~+~6xcsc^2(x)}{[1-cot(x)]^2}[/tex]

Find the standard equation of the circle having the given center (6,-2) and radius 1/5.

Answers

The equation of a circle is (x-h)²+(y-k)²=r², with h being the x value in the center, k being the y value, and r being the radius. Plugging them in, we get 
(x-6)²+(y-(-2))²=(1/5)²
                       =  1/25
                       = (x-6)²+(y+2)²

at 7 p.m. last night, the temputure was 10 degrees. At 7 a.m. the next morning, the temputure was -2 degrees. By how much did the temputure change From 7 p.m. to 7 a.m.

Answers

The temperature went down by 12 degrees. (Or you could say it changed by -12 degrees)

10 to 0 =10

0 to -2 = 2

10+2 =12

 it changed by 12 degrees

For each function f(n) and time t in the table, determine the largest size n of a problem that can be solved in time t, assuming that the algorithm to solve the problem takes f(n) microseconds

Answers

The question involves estimating the largest problem size a one-teraflop computer can solve in a given time, by equating the time complexity function of the problem to the number of operations the computer can perform per second, and solving for n.

The task is to estimate the largest problem size n that can be solved by a one-teraflop machine within a given time t. A teraflop machine is capable of performing 1012 operations per second. To determine n, we must consider the time complexity function f(n) that describes how the number of operations grows with the size of the problem. Given that the machine can perform 1012 instructions per second, and t is measured in microseconds, we first convert t to seconds.

For example, if the function f(n) follows a linear time complexity, such as f(n) = n, and the computation time t is 1 second, the largest problem size that can be solved is 1012, since the machine can perform 1012 operations in one second.

If the computational complexity is higher, say quadratic as f(n) = n2, we would solve for n in the equation n2 = 1012 to find the largest n that can be solved within 1 second.

Similarly, for more complex functions, we would find the value of n that satisfies the equation f(n) = 1012 * t in seconds, ensuring the result is within the operational constraints of the machine.

Celia bought a bag of 12 goldfish for $3. What is the cost of 1 goldfish?

Answers

we know that

Celia bought a bag of [tex]12[/tex] goldfish for [tex]\$3[/tex]

so

by proportion

Find the cost of [tex]1[/tex] goldfish

[tex]\frac{3}{12} \frac{\$}{goldfish} =\frac{x}{1} \frac{\$}{goldfish} \\ \\x=3/12 \\ \\x=\$0.25[/tex]

therefore

the answer is

The cost of one goldfish is [tex]\$0.25[/tex]

Celia will pay 0.25 dollars for 1 goldfish. The cost of 1 goldfish is $ 0.25

The Total number of goldfish purchased is 12.

Cost price for 12 goldfish is $ 3.

Let the price of 1 goldfish be x dollars.

Therefore,

[tex]\begin{aligned}x \times\$12&=\$3\\x&=\dfrac{3}{12}\\x&=0.25\end{aligned}[/tex]

Hence, the cost of 1 goldfish is 0.25 dollars.

To know more, please refer to the link:

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What is 160,656 rounded to the nearest ten thousandth?

Answers

It would be 160,000.

The nearest two ten thousands would be 160,000 and 170,000

160,656 is 656 away from 160,000, and 9,344 away from 170,000.

It is much closer to 160,000 than 170,000.
160,000 that's rounded to the nearest ten thousandth

Find a ·
b. |a| = 60, |b| = 30, the angle between a and b is 3π/4.

Answers

Final answer:

To find the dot product of vectors a and b, we can use the formula: a · b = |a| |b| cos θ, where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.

Explanation:

To find the dot product of vectors a and b, we can use the formula: a · b = |a| |b| cos θ, where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.

In this case, |a| = 60 and |b| = 30. The angle between a and b is given as 3π/4.

Therefore, a · b = 60 * 30 * cos (3π/4) = 60 * 30 * (-√2/2) = -1800√2.

15/16 is 1 sixteenth groups of what size

Answers

15/16 = 1/16x
(15/16) / (1/16) = x
15/16 * 16/1 = x
15 = x <= 1/16 groups of 15...I think...my mind is trying to comprehend..lol

Tom jogged 3/5 mile on Monday and 2/6 mile on Tuesday how much farther did Tom joy on Monday then on Tuesday

Answers

[tex]\bf \cfrac{3}{5}-\cfrac{2}{6}\impliedby \textit{so, we'll use an LCD of 30}\implies \cfrac{(6\cdot 3)-(5\cdot 2)}{30} \\\\\\ \cfrac{18-10}{20}\implies \cfrac{8}{20}\implies \cfrac{2}{5}[/tex]

What is 8.478 in expanded form

Answers

Expanded form is the way of writing numbers to see the mathematical value of the individual digits. So the expanded form of 8.478 is 
8+0.4+0.07+0.008

The expanded form of the given number is [tex]8+0.4+0.07+0.008[/tex].

Given:

The given number is [tex]8.478[/tex].

To find:

The expanded form of the given number.

Explanation:

Write the given number as the sum of the place values of its all digits to find the expanded form of the given number.

[tex]8.478=8+0.4+0.07+0.008[/tex]

Therefore, the expanded form of the given number is [tex]8+0.4+0.07+0.008[/tex].

Learn more:

https://brainly.com/question/2208579

a jet descended 0.44 mile in 0.8 minute. What was the plane's average change of altitude per minute?

Answers

7.56 because distance decreases

14-9x=-8(10+x) slove and show check

Answers

23x =14 this will be the answer

Write y = 2x + 3 using function notation

Answers

f(x) = 2x + 3 i think would be the best way to write it

Go has 3 orange pick for every 2 green if ther are 25 picks in all how many picks are orange

Answers

Hello There!

3:2
3 + 2 = 5
25/5 = 5
3 x 5 = 15
2 x 5 = 10
15:10
Therefore 15 orange picks.

Hope This Helps You!
Good Luck :)

Answer:

15

Step-by-step explanation:

It has been given that Go has 3 orange pick for every 2 green.

Hence, the ratio of Go to Green is 3:2

Total number of picks = 25.

Number of picks of orange in 25 picks is given by

[tex]\frac{3}{3+2}\times25[/tex]

Simplifying, we get

[tex]=\frac{3}{5}\times25[/tex]

Multiply the numerator, we get

[tex]=\frac{75}{5}[/tex]

Dividing, we get

[tex]=15[/tex]

Hence, the number of picks of orange are 15.

The pie below is cut into 6 equal slices. Show shade 2/3 of this pie.

Answers

Shade 4 slices out of the pie
In order to do this....

Just shade 4 out of 6 slices.

This is because 2/3 = 4/6.

To be sure you can even simplify 4/6 to 2/3.

Hope this helps!

What is 51,908 rounded to the nearest hundred dollar?

Answers

The thing we need to do while rounding is look at the digit before. The digit before is 0, meaning we have to round down.So:

51, 900

Hope this helps!
the  9 is the hundred dollar digit  
as the following digit is 0 the answer is  51,900

if bx-2=k then x equal

Answers

bx - 2 = k
bx = k + 2
x = (k+2)/b

Hope this helps!

how do you equally divide 12 cookies with 8 people. what fraction of cookies would each person receive?

Answers

each person would receive 1 and an half cookies.
in other words 1 1/2

Final answer:

To equally divide 12 cookies among 8 people, each person would receive 1 1/2 or 1.5 cookies, which is a fraction of 3/2 per person when simplified.

Explanation:

To divide 12 cookies equally among 8 people, we need to perform a simple division operation where 12 (total number of cookies) is divided by 8 (number of people). Mathematically, this can be represented as 12/8 which simplifies to 1 1/2 or 1.5 cookies per person. This means that each person would receive one and a half cookies.

If the problem requires the answer as a fraction, we can simplify 12/8 by dividing both numerator and denominator by their greatest common divisor, which is 4 in this case. Thus, we get 12/8 = (12÷4) / (8÷4) = 3/2. Therefore, each person gets 3/2 or one and a half cookies.

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