Pamela is 10 years older than Jiri. The sum of their ages is 108 . What is Jiri's age?

Answers

Answer 1
108=x+(x-10). Pamela is 59, Jiri is 49.
Answer 2
Pamela is 59 and Jiri is 49 59+49=108

Related Questions

Consider the type of clothes dryer (gas or electric) purchased by each of five customers at a certain store. A. If the probability that at most one of these purchases an electric dryer is 0.428 what is the probability that at least two purchase an electric dryer?

Answers

Let event E = the event that at most one customer purchases an electric dryer (1 or 0 customer). Then E' is the event that at least two purchase electric dryers (2 or 3 or 4 or all 5 purchase an electric dryer)P(E′) = 1 – P(E) = 1 - .428 = .572

What is the equation in point slope form of the line passing through (4,0) and (2,6)

Answers

To answer this question, we first need to find the slope. We can do this using the equation (y2 - y1)/(x2 - x1) and substitute in our coordinates. This would give:
(6 - 0)/(2 - 4) = 6/-2 = -3

Now we know that the x term is -3, we need to find the y-intercept. To do this, we simply substitute our coordinates into y = mx + c, along with our x term:

6 = (2 × -3) + c
6 = -6 + c
+ 6
12 = c

So your final answer is y = -3x + 12, which would be the third option of y = -3(x - 4)

I hope this helps! Let me know if you want any further explanation :)

A race car travels at 205 mi/h. How far does the car travel in 3 hours

Answers

The car travels 205 miles in 1 hr.

205 mi*3 hours= 615 mi

Final answer: 615 mi
I believe its gonna be 205×3=615

One- third of a number is five-sixths. Find the number

Answers

Our problem in word form is:
[tex] \frac{1}{3}y= \frac{5}{6} [/tex]
Multiply the denomintor by three on the left side to get that:
[tex] y=\frac{5}{6}*3 [/tex]
Solving, we get that y=15/6.

:)

A taxi service charges a flat fee of $4.20 per ride plus an additional $.80 per mile.
If a taxi ride costs $6.60, how many miles did the taxi travel?

Answers

im pretty sure he traveled 3 miles

Answer:

3.    

Step-by-step explanation:

You spend $28 on ingredients to make cookies. You charge $4 per container of cookies. How many containers do you need to sell to earn $20 in profit?

Answers

x = container

4x - 28 = 20
4x = 20 + 28
4x /4 = 48 / 4
x = 12

You need to sell 12 containers to earn 20 dollars in profit

The highest point in Texas ,Guadalupe peak is 8749 feet high the highest point in California Mount Whitney is 14497 feet high. How much higher is Whitney then Guadalupe?

Answers

Just subtract 8749 feet from 14497 feet.

 14497 feet
-  8749 feet
----------------
     ?      feet

The percentage results of a quiz are as follows: 62, 83, 90, 72, 88, 92, 75, 88, 96, 86, 81, 68, 87. About what percent of the class scored below an 80?

Answers

The fraction will be out of 13.
62, 72, 75, 68 are the only scores less than 80
4/13
30 percent scored less than 80

Hello There!

There are 13 results so that is the total number, 
4 results are below 80
Making it [tex] \frac{4}{13} [/tex]
This is percentages is 30.77%
Making it approximately 31%.

Hope This Helps You!
Good Luck :)

Which method do you prefer to use to find sums__count by tens and ones,use compatible numbers,or use friendly numbers and adjust? Explain why.

Answers

I count by tens and ones. Let me show you why with an example;

X=56+27

What is x?

To solve this equation, all you have to do is add 56 and 27. Easy. Since there are 7 tens, (5 plus 2), 7 will be in the tenths place. Like this: 7_. What will be next to it? To find this, just add the ones. 6+7=13. “Uh. Oh, 13 is bigger than ten,) you might be wondering. This problem has a simple fix. How many tens are in 13? One. You add ten to your 7, and you now have 8 in your tens place. Add the remaining three ones, and you’ve got your answer. 83.

56+27=83

X=83.

This method is easier and faster than any other method. Did you know calculators are actually programmed to use this method for simple addition? Who would’ve thought?


On a bike across the United States rodney notes that he covers about 190 miles every 4 days if he continues
at this rate use a ratio table to determine how many miles he could buy in 6 days

Answers

190 / 4 = 47.5,47.5 × 3 = 142.5

Lev has 9 tens . Jim has 1 ten. They put all their tens together. Dawn puts 9 ones with the tens. What number did they make?

Answers

The answer would be 109. 9 tens is 90, and 1 ten is 10, 90+10=100 plus the 9 ones that Dawn put, 109

Lev and Jim have a total of 100 in tens, and with Dawn's 9 ones added, they make the number 109.

Lev has 9 tens which is equal to 90 (because 9 times 10 equals 90). Jim has 1 ten which is equal to 10. When they put all their tens together, we add 90 and 10 to get 100. Dawn then adds 9 ones to the tens. To find the final number, we add Dawn's 9 ones to the previously combined tens, which is adding 9 to 100, resulting in 109. Therefore, by pooling together their tens and ones, they made the number 109.

(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above 100? (round your answer to one decimal place.)

Answers

Final answer:

IQ scores follow a bell curve distribution where 100 is the mean. About 50% of people score above 100. Therefore, in a group of 78 students, we would expect about 39 students to have IQ scores above 100.

Explanation:

The question is asking to determine what percent of 78 students in a population have IQ scores above a 100. Given that the IQ scores in large populations are centered at 100 and follow a bell curve, most people fall within the range of 85 to 115. The percentage of people who score above 100 is the same as those who score below it - about 50%.

According to the nature of a bell curve, approximately 34% of people score between 100 and 115, and about 14% score above 115. Therefore, around 50% (34% + 14%) of the people score above 100.

Applying this percentage to the population of the 78 students, we would expect about 50% of this student population to have scores above 100. So, 50% of 78 students amounts to 39 students. Rounded off to one decimal place, the answer would be 39.0 students. However, students can't be divided, so we conclude that about 39 students from the group of 78 have IQ scores above 100.

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A silo composed of a cylinder topped by a half-sphere. The height of the cylinder is 6.2 meters and the radius of both the cylinder and the half-sphere is 1.6 meters. Use 3.14 for pi. Find the volumes of the half-sphere, the cylinder, and the entire silo to the nearest tenth. Explain how you found the volume of the silo.

Answers

To be able to determine the volume of the entire silo, we can divide the silo into parts where we can easily calculate the volume of the parts. In this case, we divide it into a cylinder and a hemisphere. We calculate the individual volumes of these shapes and add up to represent the whole silo. We do as follows:

Volume of cylinder = πr^2h
Volume of cylinder = π( 1.6 )^2 (6.2)
Volume of cylinder = 49.86 m^3

Volume of hemisphere = 2πr^3/3
Volume of hemisphere = 2π(1.6)^3/3
Volume of hemisphere = 8.58 m^3

Volume of the whole silo = 49.86 m^3 + 8.58 m^3 = 58.44 m^3

Answer:

55.88

Step-by-step explanation:

f (1)= 7, f (n)= f (n-1) + 14

Answers

(f-7) +14

f +7 is your answer i believe

hope this helps

Evaluate –32 + (2 – 6)(10).

Answers

Final answer:

The expression –32 + (2 – 6)(10) evaluates to –72, by first calculating the operation within the parentheses, multiplying it by 10, and then adding it to –32.

Explanation:

To evaluate the expression –32 + (2 – 6)(10), we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Firstly, we calculate the value inside the parentheses (2 – 6), which equals –4. Then we multiply this value by 10 to get –40. Finally, we add the result to –32 which gives us –32 + (–40) = –32 – 40 = –72.

Final answer:

The expression –32 + (2 – 6)(10) evaluates to –372 after performing the operations inside the parentheses and then multiplying and adding as per the order of operations.

Explanation:

To evaluate the expression –32 + (2 – 6)(10), we start by performing the operation inside the parentheses first. We subtract 6 from 2, getting –34. Then we multiply this result by 10 to get –340.

Next, we add this result to –32: –32 + (–340) = –372. So the final answer to the expression is –372.

carly has a soccer game every 4th day matt has a soccer game every 5th day. when will they first have a game oh the same day

Answers

On the 20th day Carly and Matt will have their soccer games on the same day.

Final answer:

To determine the first time Carly and Matt will have a soccer game on the same day, we find the least common multiple (LCM) of 4 and 5, which is 20. Thus, they will both have a game on the 20th day.

Explanation:

The question is asking when Carly, who has a soccer game every 4th day, and Matt, who has a soccer game every 5th day, will both have a game on the same day. This is a problem that can be solved using the concept of the least common multiple (LCM). The LCM of two numbers is the smallest number that is a multiple of both numbers. To find when Carly and Matt will have a soccer game on the same day, we need to find the LCM of 4 and 5.

List the multiples of 4 (4, 8, 12, 16, 20, ...) and 5 (5, 10, 15, 20, ...).

Identify the smallest multiple that is common to both lists, which would be 20.

Therefore, the first day Carly and Matt will have a game on the same day is the 20th day.

smamantha deposits $300 in a bank account thats earns an annual rate of 2.5%.after 9months,she computes the simple interest what is the correct amount of simple interest after 9 months

Answers

keeping in mind that 9 months is not even a year, since there are 12 months in a year, then 9 months are 9/12 year, or 3/4 of a year.

[tex]\bf \qquad \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$300\\ r=rate\to 2.5\%\to \frac{2.5}{100}\to &0.025\\ t=years\to \frac{9}{12}\to &\frac{3}{4} \end{cases} \\\\\\ A=300\left( 1+0.025\cdot \frac{3}{4} \right)[/tex]

Find the amount of money in an account after 10 years if a principal of $2500 is invested at 3.5% interest compounded quarterly

Answers

I think the answer is 3542.27

Another common multiple of 30 and 42 besides 210

Answers

There is no other multiple.
420 is another common multiple

How many pairs of whole numbers have the sum of 99

Answers

50 pairs of whole numbers

Evaluate the exponential function ƒ(x) = 8x + 1.

Answers

x =‌ 1/8‌y + ‌−1/8

y = 8x + 1



the answer, by putting 1/3 in the place of x the answer comes out to 3.

X2 -2x + 1= 0. Solve the equation using the quadratic formula. Then solve the equation by factoring to check your solutions

Answers

using the formula  x = [-(-2) +/- sqrt((-2)^2 - 4*1*1)] /  2

=  2 +/- sqrt 0
    --------------     = 2/2  = 1
           2

The solution is x = 1  Duplicity 2

Factoring we have (x - 1)(x - 1)  = 0  which  is x = 1 Duplicity 2

The solutions to the given quadratic equation are x=1 and x=1.

The given quadratic equation is x²-2x+1=0.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

Here, a=1, b=-2 and c=1

Now, x = [2 ± √(4 - 4)]/2

x=2±0/2

x=1

With factoring, we get

x²-2x+1=0

x²-x-x+1=0

x(x-1)-1(x-1)=0

(x-1)(x-1)=0

(x-1)=0

x=1

Therefore, the solutions to the given quadratic equation are x=1 and x=1.

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How many combinations of four different odd numbers whose sum is 30 can you find?

Answers

The answer is 2 combinations

what is -0.38,-3/8,-0.04 in order from least to greatest

Answers

-0.04, -3/8, -0.38 is the answer

If the angle between polaris and the horizon is 40°, what is your approximate latitude?

Answers

Polaris is the basis of our calculation having a deviation of 0.7 degrees from the fixed north. So if the angle between Polaris and the horizon is 40 degrees, then it only means that you are at approximately 39.3-40.7 degrees north latitude.

Final answer:

The angle between Polaris and the horizon is approximately equal to the observer's latitude. Therefore, if Polaris is observed at a 40° angle from the horizon, the observer is at approximately 40° North latitude.

Explanation:

When you observe Polaris, the North Star, from your location and find that its angle above the horizon is 40°, this angle is equivalent to your approximate latitude. This is because Polaris is situated nearly directly above the Earth's North Pole.

Therefore, the altitude angle of Polaris, as you observe it from a particular location in the Northern Hemisphere, generally corresponds to that location's latitude. In your case, since Polaris is at a 40° altitude, your latitude is approximately 40° North.

A sporting goods manufacturer designs a golf ball having a volume of 2.48 cubic inches.

What is the radius of the golf ball?
If the ball's volume can vary between 2.45 cubic inches and 2.51 cubic inches, how can the radius vary?
identify epsilon and limit

Answers

Given that the sporting goods manufacturer designs a golf ball having a volume of 2.48 cubic inches.

The golf ball is of spherical shape and the volume of a sphere is given by
[tex]V= \frac{4}{3} \pi r^3[/tex]

The radius of the golf ball is given by
[tex]\frac{4}{3} \pi r^3=2.48 \\ \\ \Rightarrow r^3= \frac{3\times2.48}{4\pi} =0.592 \\ \\ \Rightarrow r= \sqrt[3]{0.592} =0.84 cm[/tex]

For V = 2.45
[tex]\frac{4}{3} \pi r^3=2.45 \\ \\ \Rightarrow r^3= \frac{3\times2.45}{4\pi} =0.585 \\ \\ \Rightarrow r= \sqrt[3]{0.585} =0.8363 cm[/tex]

For V = 2.51
[tex]\frac{4}{3} \pi r^3=2.51 \\ \\ \Rightarrow r^3= \frac{3\times2.51}{4\pi} =0.599 \\ \\ \Rightarrow r= \sqrt[3]{0.599} =0.8431 cm[/tex]

Thus, If the ball's volume can vary between 2.45 cubic inches and 2.51 cubic inches, then the radius can vary between 0.8363 and 0.8431.

[tex] \lim_{r \to 0.84} V(r) =2.48[/tex]
because
[tex]|V(r)-2.48|\ \textless \ 0.03[/tex]
whenever
[tex]0\ \textless \ |r-0.84|\ \textless \ 0.0034[/tex]

divide 300 g^2 0.0005 g and express using scientific notation

Answers

(300g^2) / (0.0005g) = 600,000g = 6 x 10^5g

Answer:

[tex]\Rightarrow 6\times 10^5\ g[/tex]

Step-by-step explanation:

Given : Divide two number and write as scientific notation.

Scientific notation:

[tex]\Rightarrow k\times 10^n[/tex]

Number 1: 300 g²

Number 2: 0.0005 g

Divide [tex]=\dfrac{300\ g^2}{0.0005\ g}[/tex]

[tex]\Rightarrow \dfrac{30\times 10}{5\times 10^{-4}\ g{2-1}[/tex]

[tex]\Rightarrow 6\times 10^{1+4}\ g[/tex]

[tex]\Rightarrow 6\times 10^5\ g[/tex]

Scientific notation:

[tex]\Rightarrow k\times 10^n[/tex]

Hence, The result of division is [tex]\Rightarrow 6\times 10^5\ g[/tex]

Shelia has to pack 128 baskets of apples. She had packed 1/4 of the baskets. How many baskets are left for her to pack?

Answers

1/4 of 128 is 32,
32 x 3 = 96

There are 96 baskets left.

An athlete eats
45
grams of protein per day while training. How much is this in milligrams?

Answers

it is 45,000 milligrams 
your answer would be 45000.

Complete the equation below by writing an equation equivalent to height h of a cylinder

Answers

formula for the volume of a cylinder V = πr2h Divide both sides by πr2 to isolate h. V / πr2 = πr2h / πr2 You find the height, h, is equal to . V / πr2 = h H = V / πr2
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