Mike and Ike are twins. Mike’s age is one more than twice a certain number. Ike’s age is 10 less than triple that same number. Find their ages.

Answers

Answer 1
mike age is 3 less then twice the age of his brother nuke.
M = Mike's age now
N = Nuke's age now
M = 2N - 3

Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10

what are their present ages

find M and N

substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:

4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14

M = 2(14) - 3 = 28 - 3 = 25

Mike is 25 and Nuke is 14.

check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10

Related Questions

your father pushed a 2-kg box across the floor with a net horizontal force of 10 n. what is the acceleration of the box

Answers

Answer:

5 m/s^2

Step-by-step explanation:

Force = mass x acceleration

f = ma

We have the force of 10 N and the mass of 2 kg.

10 N = 2 kg a

divide by 2 on both sides to isolate the a

a = 5 m/s^2

Answer:

[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]

Step-by-step explanation:

The formula for force is:

[tex]F=m*a[/tex]

If we rearrange the formula for acceleration (a) and divide both sides by m we get:

[tex]\frac{F}{m}=a[/tex]

The net force is 10 Newtons. Let's convert the units to make the problem easier later on.

1 Newton=1 kg*m/s²The net force of 10 Newtons is equal to 10 kg*m/s²

The mass is 2 kilograms.

[tex]F=10 \ kg*m/s^2\\m= 2 \ kg[/tex]

Substitute the values into the formula.

[tex]\frac{10 \ kg*m/s^2}{2 \ kg} =a[/tex]

Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)

[tex]\frac{10 \ m/s^2}{2}=a[/tex]

[tex]5 \ m/s^2=a[/tex]

The acceleration of the box is 5 meters per second squared.

Find the equation of the exponential function represented by the table below:

Answers

Answer:

The equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

Step-by-step explanation:

We know the equation of exponential function such as

[tex]f(x) = ab^{x}[/tex]

Put x=0, and y=2 in the function

[tex]2 = ab^{0}[/tex]

[tex]2 = a[/tex]

Also x=1, and y=8 in the function

[tex]8 = 2b^{1}[/tex]

[tex]b=4[/tex]

Thus,

[tex]f(x) = ab^{x}[/tex]

        [tex]= 2(4)^{x}[/tex]

Therefore, the equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

{(3, 2.1),(4,3.1), 5, 2.7), (5,4.1),(6, 5.1)} domain and range of this numbers

Answers

Answer:

domain: (3, 4, 5, 6)

range: (2.1, 2.7, 3.1, 4.1, 5.1)

Step-by-step explanation:

domain is the x value

range is the y value

you do not write the same number twice

write the domain and range in alphabetical order

find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​

Answers

Answer:

The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

Step-by-step explanation:

We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​.

There are 9 letters in the word WONDERFUL

There is a condition that letter R is always next to E.

So, We have two letters fixed WONDFUL (ER)

We will apply Permutations to find ways of arrangements.

The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways

The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways

The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways

So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

Compare your answer to the model. Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5. What did your explanation include? a reference to the rate of change a reference to the ratio of y over x the constant of variation as 0.5

Answers

Answer: C

Step-by-step explanation:

Just did it

who said 17 38? it will help

Answers

Fetty wap said 17 38 in the song 679

Tell whether x and y are in a proportional relationship. Explain
your reasoning.

Answers

No because they 90 to 200 is 110 but 200 to 325 is 125

110 obviously does not equal 125

what's thee error and the solution ​

Answers

Answer:

They subtracted by 4 not divided (And you spelled the wrong) and answer is

x = 5

Step-by-step explanation:

Answer: the error is the 2nd step. the solution is 5

Step-by-step explanation:

4x-3=17

   +3   +3

4x/4 = 20/4

x=5

                              hope that helps!!!:):)

what is the inverse of 20

Answers

Answer:

-20

Step-by-step explanation:

It is like the opposite number. Because 20 is positive its inverse is negative 20.

HOPE THIS HELPED

Can someone help me with this? (asap)

Answers

Answer:

so cant help

Step-by-step explanation:

Answer:

43˚

Step-by-step explanation:

As you may know, a triangle angle should always add up to 180˚ so 68˚ and 69˚ added together is 137˚ subtract that by 180 and you will get 43 which is the answer

Hope this helps!

The probability of a basketball player making a free throw is 76%. In practice she shoots 10 free throws. What is the probability that he makes 7 free throws?

Answers

Answer:

Probability is 0.243

Step-by-step explanation:

Probability of success p = 76% = 76/100 = 0.76

Probability of failure q = 1 - p = 1-0.76 = 0.24

We can now proceed to use Bernoulli approximation of the Binomial theorem

We have

P( X = 7) = 10 C 7 p^7 q^3

P(X = 7) = 120 * 0.1465 * 0.013824

P(X = 7) = 0.242946203712

This is approximately 0.243

Answer:

0.243

Step-by-step explanation: if you stop to count step by step you will get your answer of 0.243

Please help if you can!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.

Answers

Answer:

4/3 is that correct if not msg me and I’ll help you with the next problem

Step-by-step explanation:

Answer:

slope is 3/4

Step-by-step explanation:

rise over run

The five number summary for your class GPA is shown. Which box plot shows the class data?

Answers

Answer:

The 2nd box lot shows the class data. Also, the illustrated box plot with these marks is also shown in the attached figure.

Step-by-step explanation:

Given the box plot which shows the class data, we can indicate that,

the minimum is 1.8, Q1 is 2.6, the median is 2.9, Q3 is 3.6, and the maximum is 4.0.

So, the 2nd box lot shows the class data.

Because,

it indicates a minimum at 1.8Q1 (the first quartile, or the 25% mark) which is 2.6the median is 2.9Q3 (the third quartile, or the 75% mark) which is 3.6and the maximum is 4.0.

So, the illustrated box plot with these marks is also shown in the attached figure.

Answer:

The 2nd box plot is correct

Step-by-step explanation:

Got it right on IM

Help please i have to do this for attendance

Answers

Answer:

The actual answer is C

Step-by-step explanation:

HELPPP PLEASE WITH BOTH THANK U

Answers

Problem 1

Answer: B)  -15

---------------------------

Explanation:

Draw out a number line with -7 on it. Stuff to the left of this value are smaller than -7. Stuff to the left would be -8, -9, ... and -15 is part of that list.

So -15 is smaller than -7.

================================================

Problem 2

Answer:  Choice A) closed circle at 2 and shading to the right

--------------------------

Explanation:

Let's solve for h

[tex]-5h+3 \le -7\\\\-5h \le -7-3\\\\-5h \le -10\\\\h \ge \frac{-10}{-5}\\\\h \ge 2\\\\[/tex]

The inequality sign flips because we divided both sides by a negative value.

The solution set is the set of h values such that h = 2 or h > 2. In short, h can be 2 or larger.

Visually this will be a graph with a closed circle at 2 and shading to the right. The closed circle tells the reader "include the endpoint". This describes graph A.

A fish swims 10 yards north and 15 yards east from the boat that just caught it and threw it back. How many yards is the fish from the boat?

Answers

Answer:

18.0277563773 yards

Step-by-step explanation:

Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]10^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]

100 + 225 = [tex]c^{2}[/tex]

325 = [tex]c^{2}[/tex]

[tex]\sqrt{325}[/tex] = [tex]\sqrt{c^{2} }[/tex]

8.0277563773 = c

What is the equation of the line

Answers

Y= 1/2x + 2 is the correct answer

PLEASE HELP DUE TODAY 20 POINTS!!!

Answers

Answer:

13/12

Step-by-step explanation:

ASAP NEED HELP!!!!
The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will the extra large box contain? Explain or show your reasoning.

Answers

Answer:

the answer should be 76.8 ounces

Step-by-step explanation:

The number of ounces of cereal will the extra-large box contains should be 76.8 ounces.

Calculation of the number of ounces:

Since

The company makes a single serving cereal box that contains 1.2 ounces of cereal.

The extra-large box will be a dilation of the single-serving box using a scale factor of 4.

So, here the no of ounces should be

[tex]= 4\times 4\times \times 4 \times 1.2[/tex]

= 76.8 ounces

Learn more about ounces here: https://brainly.com/question/2656723

X + 1 > 8
whats the answer

Answers

Answer:

x can = anywhere from 8 to infinite because x has to be greater than 8 at least  

Step-by-step explanation:

(32x^5)/(48x^7) Could someone solve and explain this maybe?

Answers

I feel the easiest way to answer this question would be the rewrite the equation as 32/48x^5 • x^7
Since you are dividing the expressions, you would divide 32 by 48
Then you add the exponents together since they are like terms of x.
So far you would have:
32/48x^12
You could then simply 32/48 to 2/3
Then you get the answer:
2/3x^12

The quality control manager at a factory records the number of equipment breakdown each day . Let the random variable Y represent the number of breakdowns in one day. Does standard deviation of why is 0.28. Which of the following is the best interpretation of the standard variable

Answers

Answer:

On average, the number of breakdowns per day varies from the mean by about 0.28.

Step-by-step explanation:

I'm having trouble with this...
Solve.

{y=x−63x+2y=8

Use any method.


(14, 8)

(3, -3)

(0, -6)

(4, -2)

Answers

Answer:

(4, -2) should be the correct answer.

PLEASE HELP ME ASAP. If you can help me please help me out.

Answers

Answer:

Step-by-step explanation:

to ez its =12

Brianna is crocheting a scarf as a birthday present for her sister. She started the scarf yesterday and needs to finish it today before her sister's birthday party.
This table shows the relationship between the amount of time (in minutes) Brianna spends crocheting today, x, and the total length of the scarf (in inches), y.
x (minutes) y (inches)
10 19
50 23
60 24
80 26
According to the values in the table, do x and y have a proportional relationship?

Answers

9514 1404 393

Answer:

  no, the relationship is not proportional

Step-by-step explanation:

The table says Brianna crocheted 19 inches in 10 minutes. If the relation were proportional, Brianna would have crocheted 5×19 = 95 inches in 5×10 = 50 minutes. Her actual length is only 23 inches, so length is not proportional to time.

Help please need answer soon

Answers

Answer:

c

Step-by-step explanation:

(x+25)(3+2x)-(x+4)(x+1)

=(3x+2x²+75+50x)-(x²+4x+x+4)

=(2x²+53x+75)-(x²+5x+4)

=2x²+53x+75-x²-5x-4

=x²+48x+71

I need help with finding the answers for number 4 and 5

Answers

4a) pentagons
4b) circles
4c) 2/10
4d) 1/10

5a) top left box: 2, 3, 5, 7
top right box: 11, 13
bottom left box: 4, 6, 8, 9
bottom right box: 10, 12, 14, 15, 16
5b) 4/8
5c) 6/15

A foreign country uses the stellar as its currency. Before a trip to that​ country, Jon wants to exchange ​$1,200 to stellars. Which of Bank A and Bank B has the better exchange​ rate? How many more stellars would he get if he exchanged his ​$1,200 at the better exchange rate instead of at the other​ rate?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the conversion rate for both banks is not given.

However, I'll make the following assumptions.

Bank A: $80 for 392 stellars

Bank B: $50 for 240 stellars

Solving (a) Bank with better conversion rate.

First, we need to calculate the unit rate.

Unit Rate = Dollar/Stellar

For Bank A:

Unit Rate = 392/80

Unit Rate = 4.9 Stellars to $1

For Bank B:

Unit Rate = 240/50

Unit Rate = 4.8 Stellars to $1

The bank with higher unit rate has a better exchange rate.

Hence, bank A has a better exchange rate.

Solving (b): How much more will he get if $1200 is exchanged

For Bank A:

$1 = 4.9 Stellars

Multiply both sides by 1200

$1 * 1200 = 4.9 * 1200 Stellars

$1200 = 5880 Stellars

For Bank B:

$1 = 4.8 Stellars

Multiply both sides by 1200

1200 * $1 = 4.8 * 1200 Stellars

$1200 = 5760 Stellars

Calculate their difference

Difference = 5880 - 5760

Difference = 120 Stellars

Hence, he'll get 120 more Stellars if he exchanged with bank A.

what is 4/3×6/5in fraction in simplest form

Answers

Answer:

8/5

Step-by-step explanation:

4/7 divided by 2 1/3

Answers

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex]

First, change 2 [tex]\frac{1}{3}[/tex] into an improper fraction. It will make the solving process a lot easier.

2 [tex]\frac{1}{3}[/tex] = [tex]\frac{7}{3}[/tex]

So:

[tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]

Now solve by multiplying the reciprocal of [tex]\frac{7}{3}[/tex] which is [tex]\frac{3}{7}[/tex]

So:

[tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] = [tex]\frac{12}{49}[/tex]

The value of 4/7 divided by 2 1/3 as requested in the task content is; 12/49.

What is the value of the expression?

According to the task content, the value of the expression is required.

4/7 ÷ 2 1/3

By fraction conversion, we have;

4/7 ÷ 7/3

= 4/7 × 3/7

= 12/49.

Read more on division;

https://brainly.com/question/1622425

#SPJ2

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