Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The system that represents Mira’s numbers is below. x – y = 4 x + y = 18 Which two numbers did Mira pick? (10, 8) (18, 4) (20, 16) (40, 32)

QUESTION POSTED AT 18/01/2020 - 07:05 AM

Answered by admin AT 18/01/2020 - 07:05 AM

Let

x------> the first number

y-----> the second number

Assume x> y

we know that

x-y=4 ----> equation A

\frac{x}{2}+ \frac{y}{2}=18

Multiply by 2 both sides

x+y=36-----> equation B

Adds equation A and equation B

x-y=4 \\x+y=36\\------- \\ x+x=4+36\\ 2x=40\\ x=20

Find the value of y

20-y=4

y=20-4=16

therefore

the answer is the option

(20,16)

Post your answer

Related questions

Select the true statement. A) (a2)4 = a6 B) (a2)4 = a2 C) (a2)4 = a8 D) (a2)4 = 2a

Das test your knowlege of this exponential law
(x^m)^n=x^{mn}

so

(x^2)^4=x^{(2)(4)}=x^{8}

C is the correct answer

ANSWERED AT 20/02/2020 - 11:02 AM


QUESTION POSTED AT 20/02/2020 - 11:02 AM

What is the missing numbers 9 tenths + 7 hundredths 6 tenths + _ hundredths = 0.66

.97 is the first answer
6 is the second answer

ANSWERED AT 20/02/2020 - 10:58 AM


QUESTION POSTED AT 20/02/2020 - 10:58 AM

420 is 12% of what number?

50.4 is your answer

ANSWERED AT 20/02/2020 - 10:52 AM


QUESTION POSTED AT 20/02/2020 - 10:52 AM

What is 7/8 times 40 I need to know asap

It would be: 7/8 * 40
= 7 * 5 = 35

In short, Your Answer would be 35

Hope this helps!

ANSWERED AT 20/02/2020 - 10:31 AM


QUESTION POSTED AT 20/02/2020 - 10:31 AM

Write a linear expression in simplest form to represent the perimeter of the trapezoid. Then find the perimeter if the value of x is 7 yards. The sides of the trapezoid are (going in a clockwise direction starting from the top): (7x + 3) yd (6x + 3 ) yd (5x) yd (6x + 3) yd

Here, Out of all the options, Most appropriate expression for the linear value would be: Y = 5x
Where, y = perimeter of trapezoid
x = a base.

Now, x = 7, then, 
Y = 5(7)
Y = 35

In short, Your Answer would be Option C & 35

Hope this helps!

ANSWERED AT 20/02/2020 - 10:21 AM


QUESTION POSTED AT 20/02/2020 - 10:21 AM

Simplify (5p^4)^3 · (2p^3)^4

(5p^4)^3 · (2p^3)^4
5^3p^12 * 2^4p^12
125p^12 * 16 p^12(in multiplication add the powers 
2000 p^12+12
answer= 2000 p^24

ANSWERED AT 20/02/2020 - 10:02 AM


QUESTION POSTED AT 20/02/2020 - 10:02 AM

What 20% tip would you leave on a $100 check

Twenty dollars for a tip.

ANSWERED AT 20/02/2020 - 10:01 AM


QUESTION POSTED AT 20/02/2020 - 10:01 AM

What is the equation of a hyperbola with a = 6 and c = 8? Assume that the transverse axis is horizontal.

The standard equation for a hyperbola with a horizontal transverse axis is 

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
 . The center is at (h, k) . The distance between the vertices is 2a . The distance between the foci is 2c and c^2 = a^2 + b^2. Therefore,

8^2 = 6^2 + b^2
b = 2
√7
Assuming it is located at the origin.

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
(x)^2/6^2 - (y)^2/(2√7)^2  = 1
x^2/36 - y^2/28  = 1

ANSWERED AT 20/02/2020 - 09:54 AM


QUESTION POSTED AT 20/02/2020 - 09:54 AM

Which scenario is represented by this equation? 1200 =3×+120

G. is your answer have a nice evening

ANSWERED AT 19/02/2020 - 06:08 PM


QUESTION POSTED AT 19/02/2020 - 06:08 PM

Find the sum. write the sum as a mixed number , so the fractional part is less than 1. 4 1/2 + 2 1/2 ?

To answer this problem:

1. 4+2 is 6
2. 1/2 +1/2 is 1 whole
3. After finding these two steps, you add 1 and 6 together giving you...
4. 1 + 6 is 7. 
That's your answer, hopefully this helped ;) 

ANSWERED AT 19/02/2020 - 06:02 PM


QUESTION POSTED AT 19/02/2020 - 06:02 PM

Find the value of x that fits the equation: 24x - (3 - 0.06x) = 4(0.7 + 6).

24x-3+0.06x=4(6.7)
24.06x-3=26.8
24.06x=29.8
x=about 1.24

ANSWERED AT 19/02/2020 - 06:01 PM


QUESTION POSTED AT 19/02/2020 - 06:01 PM

Lilana takes 4 breaths per 10 seconds during yoga.At this rate about how many breaths would Lilana takes in 2 minuets of yoga?

60 seconds in 1 minute.....so there is 120 seconds in 2 minutes

4 / 10 = x / 120.....4 breaths to 10 seconds = x breaths to 120 seconds
cross multiply
10x = 480
x = 480/10
x = 48 breaths <==

ANSWERED AT 19/02/2020 - 05:28 PM


QUESTION POSTED AT 19/02/2020 - 05:28 PM

Seth is trying to find the unit price for a package of blank compact discs on sale at 10 for $5.49. Find his mistake and correct it. Here's his math problem - 10/$5.49 =$1.82 each

He needs to flip the equation. So the real answer is 5.49/10=0.549

ANSWERED AT 19/02/2020 - 04:38 PM


QUESTION POSTED AT 19/02/2020 - 04:38 PM

Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?

Answer:

x=2

Step-by-step explanation:

We have been given an equation 4x+8=16. we are asked to find the value of x that makes our given equation true.

Let us solve our given equation for x using opposite operations.

Subtract 8 from both sides:

4x+8-8=16-8

4x=8

Divide both sides by 4:

\frac{4x}{4}=\frac{8}{4}

x=2

Therefore, x=2 is the solution for our given equation.

Let us verify our answer:

4x+8=16

4(2)+8=16

8+8=16

16=16

Both sides are equal. Hence proven x=2 is solution for our given equation.

ANSWERED AT 19/02/2020 - 04:35 PM


QUESTION POSTED AT 19/02/2020 - 04:35 PM

A picture frame is 5 inches on 2 sides and x inches on the other 2. If its perimeter is 50 inches, how long is each of the other sides? 20 22 45 48

The answer is 20 because 5+5=10. 50-10=40. 40 divided by 2 = 20!
The answer is 20!

ANSWERED AT 19/02/2020 - 04:28 PM


QUESTION POSTED AT 19/02/2020 - 04:28 PM

A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on Willow Avenue buy, on average, every year. {2, 3, 2, 2, 0, 5, 2, 1, 1, 3} Does this data have negative, positive, or zero skew?

Answer:

This data set has zero skew as it is symmetric.

Step-by-step explanation:

We know that the symmetry exist in a data when the mean, median and mode of the data is same.

i.e. we are given a set of data as:

              {2, 3, 2, 2, 0, 5, 2, 1, 1, 3}

  • On arranging the data in increasing order we get :

    0  1   1   2   2   2   2   3   3   5

Hence, the value that occur in the middle is: 2

Hence, we have Median=2

  • Also, the mean is calculated as follows:

Mean=\dfrac{2+3+2+2+0+5+2+1+1+3}{10}\\\\\\Mean=\dfrac{21}{10}\\\\\\i.e.\\\\\\Mean=2.1

              Hence, Mean=2.1

  • Also, the mode of the data is the most frequently occurring data point in the set.

Here 2 occurs most number of times i.e. 4 times and hence we have:

                   Mode=2

Now, as the Mean, Median and Mode of the data are approximately same.

      Hence, we get the data is symmetric and hence has a zero skew.

ANSWERED AT 19/02/2020 - 04:25 PM


QUESTION POSTED AT 19/02/2020 - 04:25 PM

You are painting the outside of a 36-foot fence that goes around a square playground. There are 4 equal sections. You have painted 1/4 of one section. What fraction of the job have you completed?

Answer:

You have completed \frac{1}{16} of the job.

Step-by-step explanation:

You are painting the outside of a 36 foot fence.

There are 4 equal sections of the fence = 36 ÷ 4 = 9 feet one section.

You have painted \frac{1}{4} of one section.

9 × \frac{1}{4} = \frac{9}{4} feet.

you have painted \frac{9}{4} feet of one section.

Now the fraction of total job done = \frac{9}{4\times 36} = \frac{1}{16}

You have completed \frac{1}{16} of the job.

ANSWERED AT 19/02/2020 - 04:01 PM


QUESTION POSTED AT 19/02/2020 - 04:01 PM

Round the number 18.7993 to the nearest hundredth

18.8 is your answer or 18.80 either one will work :)

ANSWERED AT 19/02/2020 - 03:58 PM


QUESTION POSTED AT 19/02/2020 - 03:58 PM

What kind of growth model (pattern) is shown in the table? x y 1 5 2 25 3 125 4 625 5 3,125 a. square root b. linear c. exponential d. quadratic

Answer:

Option C is correct.

The kind of growth model is shown in the table is exponential

Step-by-step explanation:

Exponential growth function is in the form of :  y = ab^x  ......[1];   where a is the initial value and b> 0.

Consider any two point from the table:

(1 , 5) and ( 2 , 25)

Substitute these in the equation [1] we get;

5 = ab^1         ......[2]

25 = ab^2      ......[3]

Divide equation [3] by [2] we have;

\frac{25}{5} = \frac{ab^2}{ab}

Simplify:

5 = b

Now substitute this value in equation [2] we get;

5 = a \times 5

Divide both sides by 5 we get;

\frac{5}{5} = \frac{5a}{5}

Simplify:

1=a or a = 1

Therefore, the table shown the  exponential growth function is, y = 5^x

ANSWERED AT 19/02/2020 - 03:44 PM


QUESTION POSTED AT 19/02/2020 - 03:44 PM

You have a bag of 10 marbles. three of them are red, five are blue, and two are green. what is the probability of randomly picking a green or blue marble out of the bag?

Probability when picking one is just number of "correct" anwsers devided by the total picking from

2 are green, 5 are blue, so 7 marbles are correct
the chance of picking one correct equals 7/10

ANSWERED AT 19/02/2020 - 03:37 PM


QUESTION POSTED AT 19/02/2020 - 03:37 PM

The greatest common factor of 18 and 27 is 3. True or false

False. The GCF of 18 and 27 is 9.

ANSWERED AT 19/02/2020 - 03:36 PM


QUESTION POSTED AT 19/02/2020 - 03:36 PM

State the property that is demonstrated: 3 · (8 · 4) = (3 · 8) · 4. A. Commutative B. Associative C. Distributive D. Additive

I believe it's the associative

ANSWERED AT 19/02/2020 - 03:19 PM


QUESTION POSTED AT 19/02/2020 - 03:19 PM

20% of a number is x. What is 100% of the number? Assume x>0.

100% of a number would be 5 * 20.

5x

ANSWERED AT 19/02/2020 - 02:47 PM


QUESTION POSTED AT 19/02/2020 - 02:47 PM

Katle owes mathias $10 and cabin $5 katle has $3 in her pocket what's the meaning of 0 in this situation

In this situation, the only 0 that could be found is the one that attached to 10.
For this, the 0 only represent the real value of the money,and basically nothing else.
It also represent the amount of money Katle has left, after borrowing $12 and pay all of his debt.

ANSWERED AT 19/02/2020 - 02:39 PM


QUESTION POSTED AT 19/02/2020 - 02:39 PM

The tip for excellent service in a restaurant is 20 for every 100 of the meal what is the total bill (cost of meal plus tip) for a 60 meal?

I would think the tip would be 15 wich would make the meal all together 85.

ANSWERED AT 19/02/2020 - 02:34 PM


QUESTION POSTED AT 19/02/2020 - 02:34 PM

Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same number of books and reach a total donation of 300 books! How many books will Hannah have in her collection after her donation? Write your answer as an expression.

Answer:

b/50

Step-by-step explanation:                                                                          There were 150 students who donated a total of b books.

The students donated an average of b/150 books each.

Hannah donated 3 times as many books as the average.

b/150 * 3 = b/50

Hannah donated b/50 books.

ANSWERED AT 19/02/2020 - 02:30 PM


QUESTION POSTED AT 19/02/2020 - 02:30 PM

Find the value of "a" for which the graph of the first equation is perpendicular to the graph of the second equation. 1) equation : y=a/3x-6 2) equation 4x+2y=6 Their is the same problems but different equation.1) 3y+ax=8 2)3/4x+2

Perpendicular lines will have negative reciprocal slopes. Example : if u r given a slope of 1/3, to find the negative reciprocal, flip the slope and change the sign. So the negative reciprocal of 1/3 is -3/1 or just -3. So slope 1/3 and slope -3 are perpendicular.
==================
equation 2 : 
4x + 2y = 6
2y = -4x + 6
y = -2x + 3...the slope here is -2....a perpendicular line will have a slope of 1/2.

y = (a/3)x - 6......so we have to make a/3 = 1/2......1.5/3 = 1/2
so a = 1.5
===================
eq. 2 : 3/4x + 2
not sure what the entire equation is.....but it looks to have a slope of 3/4. That means a perpendicular line will have a slope of -4/3.

3y + ax = 9
3y = -ax + 9
y = (-a/3)x + 3.....therefore, a has to be 4


ANSWERED AT 19/02/2020 - 02:18 PM


QUESTION POSTED AT 19/02/2020 - 02:18 PM

33% of what number is 1.45?

It is 4.39 hope it helps


ANSWERED AT 19/02/2020 - 01:39 PM


QUESTION POSTED AT 19/02/2020 - 01:39 PM