the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers

Answers

Answer 1

9514 1404 393Answer:

  20, 36

Step-by-step explanation:

Let x and y represent the smaller and larger numbers, respectively. The given relations let us write two equations:

  x + y = 56 . . . . . . the sum of the two numbers is 56

  2x -y/2 = 22 . . . . twice the smaller exceeds half the larger by 22

We can solve this by multiplying the second equation by 2 and adding the first.

  2(2x -y/2) +(x +y) = 2(22) +56

  5x = 100 . . . . . . simplify

  x = 20

  y = 56 -20 = 36

The two numbers are 20 and 36.


Related Questions

Which expression is a sixth root of -1+i sqrt3?
(Look at photo for options)

Answers

Answer:

D

6sqrt2(cos(20)+I sin (20))

Answer:

The answer is D: 6sqrt2(cos(20)+isin(20))

Step-by-step explanation:

I’ve honestly been trying to figure out why this is the answer but I have no idea I just happened to get it right.

The bar graph shows the number of check-ins at a motel each day for one week. What percent of the check-ins occurred on Friday or Saturday? Round your answer to the nearest hundredth of a percent.

Answers

26/64 is correct

have a great day

Mia's birthday party will cost $12 if she invites 4 guests. What is the maximum number of guests there can be if Mia can afford to spend a total of $15 on her birthday party?

Answers

You find how much each person costs so 12/4 = 3. So every person costs 3 dollars. Then you divide 15/3 and you get 5 so she can invite a max of 5 people

expanded form :32,456​

Answers

Answer:

30,000 + 2,000 + 400 + 50 + 6

Step-by-step explanation:

[tex]\text{The expanded form of 32,456 would be 30,000 + 2,000 + 4,000 + 50 + 6.}[/tex]

[tex]\text{We would have to identify what each number stands for.}[/tex]

[tex]\text{For example, 3 in 32,456 stands for 30,000.}[/tex]

[tex]\text{Hence, following this rule, we can conclude that the answer above is correct.}[/tex]

[tex]\text{I hope I helped you suceed!}[/tex]

Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?

Answers

Answer:

Measure of E'F' = 9

Step-by-step explanation:

If a quadrilateral is dilated by a scale factor of [tex]\frac{3}{4}[/tex], all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.

Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of preimage}}[/tex]

[tex]\frac{3}{4}=\frac{E'F'}{EF}[/tex]

[tex]\frac{3}{4}=\frac{E'F'}{12}[/tex]

E'F' = [tex]\frac{3}{4}\times 12[/tex]

      = 9

Therefore, measure of side E'F' will be 9.

Find the mean, median and mode of the following data sets.
1. 79, 84, 92, 81, 86, 77, 95, 80, 88, 84
2. 8, 9, 9, 9, 9, 10, 11, 15
3. 16, 23, 18, 30, 32, 34, 8, 19, 21​

Answers

Answer:

1.

mean= 84.6

median=84

mode=84

2.

mean=10.14

median=9

mode=9

3.

mean=22.3

median=21

mode=phi

Step-by-step explanation:

mean: the sum of of the quantities by their number

median: the median value after rearranging the values

mode: the value that occurs most frequently

in the second question

mean = (8+9+9+9+9+10+11+15)/8

median(even number) =(9+9)/2=9

mode=9

Answer:

for data set 1

1.mean-84.6

2.median-(84+84)/2 = 84

3.mode-84

for data set 2

1.mean-9.25

2.median-(9+9)/2 = 9

3.mode-9

for data set 3

1.mean-22.3

2.median-21

3.mode-no mode with this data set

hope this helped!!

Which expression is equivalent to j(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)?

o 13'
o 13j
o j13
oj + 13

need help fast pls!

Answers

Hopes this helps:

Answer: j^13

Please give me a brainlist if it’s right

Which statement about the ordered pairs (–2, 9), (0, 9) and (3, 9) is not true?

Answers

Answer:

The slope of these coordinates is 0.

It is a horizontal line.

Step-by-step explanation:

Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?

5

29

4

6​

Answers

Answer:

Quantity = 5 grapes

Step-by-step explanation:

Given the following data;

Quantity of grapes = 20

Cost = 48

To find the cost of each grape;

Cost of each grape = total cost/quantity

Cost of each grape = 48/20

Cost of each grape = $2.4

Now, to find how many grapes $12 can buy;

Quantity = total cost/cost of each grapes

Quantity = 12/2.4

Quantity = 5 grapes

Therefore, $12 can buy 5 grapes.

Simplify (6x2 - 4x + 7) - (8x2 - 2x + 5) =

Answers

-2(x^2+X-1)

This is correct

Answer:

       

−2x 2−2+2

Step-by-step explanation:

Question 1 and 2 have the same question help please!!

Answers

Answer:

1st Circle

Radius = 9

Diameter = 18

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52

2nd Circle

Radius = 14

Diameter = 28

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 14 = 87.92

:D

What is the area of parallelogram ABCD?13 square units14 square units15 square units16 square units

Answers

Answer:

13

Step-by-step explanation:

the equation for parrlelograms is base times hieght. the base is about 3 and the hieght is 4 and 1/3 (ish) so 3*4.3 would give the answer of 13 square units. I hope this helps?

What linear expression would you add to -4y+2 to have a sum of y

Answers

Answer:

4

Step-by-step explanation:

Mary works as a gardener. on her last job she charged $60 for plants and $500 for 20 hoursof work. The equations represent the total price y, charged by different gardeners after x hours of work.

Answers

Answer:

28 hours  

Step-by-step explanation:

2.
Find the value of x.
110°
(x + 30)
po

Answers

the value of x is 80
(80+30) = 110
x= 80

HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT

Answers

I think it’s c but I’m sorry if it wrong

ratio of 25cm to 40cm

Answers

5:8

is the ratio .he she and shd

write the first five terms of the sequence an=3n^2

Answers

Answer:

2,1,0 is the sequence of its terms

What are the coordinates of point S?
Write your answer as an integer or decimal to the nearest 0.5.

Answers

Answer:

(0,1.5)

Step-by-step explanation:

(x,y)

0.1.5 because you would understand did you lestuoen to the teacher

I don’t know the answer

Answers

Answer:

(a+b) (a-b) =a^2 - b^2

In this question a=2, b=square root of 5

So 2*2=4 square root of 5 times square root of 5 is 5

4-5=-1

Answer:

I believe the answer is -1.

Step-by-step explanation:

So I distributed,

2 x 2 = 4

[tex]-\sqrt{5}[/tex] x 2 = [tex]-2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x 2 = [tex]2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x [tex]-\sqrt{5}[/tex] = -5

4 [tex]-2\sqrt{5}[/tex] + [tex]2\sqrt{5}[/tex] - 5 = ?

the radicals cancel out and 4 -5 = -1

A sociologist wants to construct an 80 confidence interval for the proportion of children aged - living in New York who own a cell phone. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) A survey by the National Consumers League taken in estimated the nationwide proportion to be . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of

Answers

This question is incomplete, the complete question is;

A sociologist wants to construct an 80 confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.

(a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 036. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?

Answer:

the required or needed sample size is 946

Step-by-step explanation:

Given the data in the question;

confidence level = 80%

⇒ 100( 1 - ∝ )% = 80%

100 - 100∝ = 80

100∝ = 100 - 80

∝ = 20/100

level of significance ∝ = 0.2

[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.10[/tex] = 1.2816 { from z-table }

p = 0.36

Allowable margin of error E = 0.02

let n be the required sample size.

we know that

E = √( p( 1 - p) / n )

given that margin of error E = 0.02

⇒ √( p( 1 - p) / n ) × [tex]Z_{\alpha /2[/tex] = 0.02

⇒ √( 0.36( 1 - 0.36) / n ) × 1.2816  = 0.02

⇒ √( 0.2304 / n ) × 1.2816 = 0.02

√( 0.2304 / n ) = 0.02 / 1.2816

√( 0.2304 / n ) = 0.01560549

( 0.2304 / n ) = ( 0.01560549)²  

0.2304 / n  = 0.000243531318

n = 0.2304 / 0.000243531318

n = 946

Therefore, the required or needed sample size is 946

In 2001, gas cost $1.85 per gallon. In 2008, the price was
220% higher than in 2001.
What was the cost of gas per gallon in 2008?

Answers

1.85 * 220% = $4.07.

Describe how to transform the graph of g(x)=ln(x) in the graph of f(x) = ln(-x)-9

Answers

Answer:

the answer is d because it's reflects

When electricity (the flow of electrons) is passed through a solution, it causes an oxidation-reduction (redox) reaction to occur. If the solution contains a metal cation such as Ag+, the flow of electrons will reduce the silver ion, causing solid silver to plate onto the electrode. The amount of metal plated depends on the number of electrons passed. The total charge of a mole of electrons is 96, 485 coulombs (C) and 1 ampere = 1 coulomb/second (C/s).
What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.
How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)? Express your answer to three significant figures and include the appropriate units.

Answers

Answer:

a. 135 g

b. 60.6 min

Step-by-step explanation:

a. What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.

The chemical equation for the reaction is given below

Cu²⁺(aq) + 2e⁻ → Cu(s)

We find the number of moles of Cu that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 28.5 A and t = time = 4.00 h = 4.00 × 60 min/h × 60 s/min = ‭14,400‬ s

So, n = It/F = 28.5 A × ‭14,400‬ s/96485 C/mol = ‭410,400‬ C/96485 C/mol = 4.254 mol

Since 2 moles of electrons deposits 1 mol of Cu, then 4.254 mol of electrons deposits 4.254 mol × 1 mol of Cu/2 mol = 2.127 mol of Cu

Now, number of moles of Cu = n' = m/M where m = mass of copper and M = molar mass of Cu = 63.546 g/mol

So, m = n'M

= 2.127 mol × 63.546 g/mol

= 135.15 g

≅ 135 g to 3 significant figures

b. How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)?

The chemical equation for the reaction is given below

Au⁺(aq) + e⁻ → Au(s)

We need to find the number of moles of Au in 37.1 g

So, number of moles of Au = n = m/M where m = mass of gold = 37.1 g and M = molar mass of Au = 196.97 g/mol

So, n = m/M = 37.1 g/196.97 g/mol = 0.188 mol

Since 1 mol of Au is deposited  by 1 moles of electrons, then 0.188 mol of Au deposits 0.188 mol of Au × 1 mol of electrons/1 mol of Au = 0.188 mol of electrons

We find the time it takes to deposit 0.188 mol of electrons that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 5.00 A and t = time

So, t = nF/It

= 0.188 mol × 96485 C/mol ÷ 5.00 A

= ‭18173.30‬ C/5.00 A

= 3634.66 s

= 3634.66 s × 1min/60 s

= 60.58 min

≅ 60.6 min to 3 significant figures

What type of correlation is shown in the graph?

Answers

Answer:

no correlation

Step-by-step explanation:

it shows no trend or a line thing

also i think your pic is upside down haha

Can someone help me simplify and write in power form and show me step by step how to do it for both problem 8 and 9?

Answers

Answer:

[tex]\frac{-1.1x^{25} }{-1.1x^{11} }[/tex]     [tex]\frac{mx^{67} }{mx^{37} }[/tex]

Step-by-step explanation:

Sine (-1.1) is the same as (-1.1) you just put them together and if the numbers are by each other you just add up the exponents. But if the question says this [tex]\frac{-1.1x^{2} }{-1.1x^{3} }[/tex] than you subtract the exponents.

·[tex](-1.1)x^{13}X (-1.1)x^{12} = add\\\frac{-1.1x^{2} }{-1.1x^{2} } = subtract[/tex]

Hope this helps. Have a blessed day :)

What is the range of y = 7x^2 + 14x – 9?

Answers

Answer:

-1,-16

Step-by-step explanation:

y=ax^2+box+c

A bin of 5 transistors is known to contain 2 that are defective. The transistors are tested one at a time until both defective transistors have been identified. Denote N1 the number of tests until the first defective is identified and N2 the number of tests until the second defective is identified. (a) Find the joint probability mass function of N1 and N2.

Answers

Answer:

sorry I donot know the answer never mind ok

SOMEONE HELP ME WITH THISS

Answers

Answer:

/_ 12 is the angle of depression from the firefighter to the second story window.

Step-by-step explanation:

Hope it helps!

#CarryOnLearning

Answer:

2nd option is the correct answer

Step-by-step explanation:

[tex] \angle 12[/tex] is the angle of depression from the second story window to the firefighter.

point a and point b are placed on a number line point a is located at -20 and point b is 5 less then point a Wich statement about point b is true​

Answers

Answer:

Step-by-step explanation:

D beause less then 5 that means it gose down the grid

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