The sum of number is 16 and the sum of their square is 130.Find the number​

Answers

Answer 1
let y=other number
..
x-y=16
x^2+y^2=130
..
x=y+16
(y+16)^2+y^2=130
y^2+32y+256+y^2=130
2y^2+32y+126=0
y^2+16y+63=0
(y+7)(y+9)=0
y=-7
x=y+16=9
or
y=-9
x=y+16=7
..
The two pairs of numbers are: (9 and-7) and (7 and-9)

Related Questions

3(y-6)=42 what is the answer

Answers

Your answer shall be y=20 if i'm correct

Answer:

y=20

Step-by-step explanation:

expand bracket

3y-18=42 add 18

3y=60 divide by 3

y=20

AnEgg is bought at 550 and sold at a percentage of loss of 22%. Calculate the Selling Price

Answers

Hey there!

=> [tex]550 \times \frac{22}{100} [/tex]

=> [tex] \frac{550}{1} \times \frac{22}{100} [/tex]

cancel the zeros of 100 and 550

=> [tex] \frac{55}{1} \times \frac{22}{10} [/tex]

=> [tex] \frac{1,210}{10} [/tex]

=> 121 ( Substract 121 from 550)

=> 429

Therefore, Selling price is 429

The volume of the shaded portion of the cylinder help??????????????

Answers

Answer:

56.52mm²

Step-by-step explanation:

Based on observation, sum of diameters of small circles = diameter of the big circle.

In question, diameter of big circle = 12 mm.

And radius of big circle = 12mm/2 = 6mm

Let the diameter of each small circle be '2a'. So, radius of each small = 2a/2 = a.

=> 2a + 2a = 12mm

=> 4a = 12mm

=> a = 3mm

=> radius of each small circle = 3mm

Area of big circle = πr²

= (3.14)(6mm)²

= 113.04 mm²

Area covered by 2 small circles is: 2 * area of 1 one circle.

=> 2 * π(3mm)² = 18π mm²

=> 56.52 mm²

Shaded area = total area - area of 2 circles = 113.04 - 56.52 mm² = 56.52 mm²

Perform the operation
(3x^2-10x+4)+(10x^2-5x+8)

Answers

Answer: 13x^2 - 15x + 12

Step-by-step explanation:

[tex]\left(3x^2-10x+4\right)+\left(10x^2-5x+8\right)[/tex]

[tex]=3x^2-10x+4+10x^2-5x+8[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=3x^2+10x^2-10x-5x+4+8[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:4+8=12[/tex]

[tex]=3x^2+10x^2-10x-5x+12[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:3x^2+10x^2=13x^2[/tex]

[tex]=13x^2-10x-5x+12[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:-10x-5x=-15x[/tex]

[tex]=13x^2-15x+12[/tex]

find x
PLEASE HELP QUICKLY

Answers

Answer:

[tex]\boxed{\tt B)\:x=9}[/tex]

Step-by-step explanation:

[tex]\tt 8(8+x+3)=10(10+x-3)[/tex]

[tex]\tt 8(x+11)=10(x+7)[/tex]

[tex]\tt 8x+11=10x+70[/tex]

[tex]\tt 10x-8x=88-70[/tex]

[tex]\tt \cfrac{2x}{2} =\cfrac{18}{2}[/tex]

[tex]\boxed{\tt x=9}[/tex]

~

The linear function y=2x+28 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x years after 2000. Find the slope for the model. Then describe what this means in terms of the unit rate of change in the average cost of a haircut over time.

Answers

Answer:

The slope of the model is [tex]m = 2\,\frac{USD}{yr}[/tex].

The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.

Step-by-step explanation:

We have to notice that given function is a linear function, that is, a first order polynomial, whose standard form is described below:

[tex]y =m\cdot x + b[/tex]

Where:

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

In this case, we use the linear function [tex]y = 2\cdot x + 28[/tex], where [tex]x[/tex] is the time after 2000, measured in years, and [tex]y[/tex] is the average cost of a hair cut. The slope of the model is [tex]m = 2\,\frac{USD}{yr}[/tex].

The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.

Andy and Kristina are getting married soon and want a large cookie table at their wedding. If there are 225 guests attending their wedding and they want each guest to be able to have 5 cookies, how many dozen cookies do they need to order?
a).93 dozen
b).94 dozen

Answers

Answer:

b).94 dozen

Step-by-step explanation:

225*5=1125

1125/12/93.75

93.75 rounded = 94

Solve the system of equations by multiplying. Check the answer by graphing the system of equations.
{
- 4x + 3y = 15
2x +y = -5
The solution is _______?

Answers

- 4x + 3y = 15

2x + y = -5

I multiply x 3 the second equality

we will get

- 4x + 3y = 15

6x + 3y = - 15

difference of the 2 equalities

- 4x - 6x + 3y - 3y = 15 - (-15)

- 10x = 30

x = -3

so   - 4*(-3) + 3y = 15

3y = 3

y = 1

check

- 4 * (-3) + 3 * 1 = 12 + 3 = 15

(5) P-4-7 set up & solve, rate
A gold dredge is a machine that was used in the early 1900s to extract gold from a river or pond. The amount of
dirt a gold dredge can dig in 1 minute is equal to the amount it would take 3 people, each digging at the same
rate, to dig in 1 day. At this rate, how many days would it take 2 persons to dig as much dirt as a gold dredge
can dig in 60 minutes ?
A) 30 B) 45 C) 60 D) 90
Show work please.

Answers

Answer:

D) 90 Days

Step-by-step explanation:

dredge 1 min = 3 people days

when I say people days, I mean 3 people working one day

multiply each side by 60 to get the desired 60 min of dredge:

dredge 60 min = 180 people days

As we currently have this set up, it will take 180 people, 1 day to do the same amount of work as 60 min of dredge, but we only want 2 people.  This means we need to divide the people days by 2 to get how many days are needed for 2 people, thus:

dredge 60 min = 2 people for 90 days

Determine what the constant, coefficient, and variable are in the expression 9x + 4

Answers

Answer:

constant-4

variable-x

coefficient-9

Step-by-step explanation:

Coefficient- the number being multiplied by a variable

Variable- the unknown, usually 'x'

Constant- the number that is all by itself.

Identify the statement(s) that are both biconditional and false. Three points are not in the same plane if and only if exactly one line passes through them. Exactly one line passes through three points if the points are in an infinite number of planes. an infinite number of planes pass through the same three points if and only if the points are not on the same line. three points on the same line if and only if exactly one plane passes through them. ​

Answers

Answer:

Step-by-step explanation:

1) Three points are not in the same plane if and only if exactly one line passes through them.

It is biconditional and false because more than one plane can pass through three points

2)Exactly one line passes through three points if the points are in an infinite number of planes.

It is biconditional and true because three points on same line will be in more than one plane and if they are not in the same plane then connect them and it will form a triangle which is in only one plane

3). an infinite number of planes pass through the same three points if and only if the points are not on the same line.

It is biconditional and false because more than one plane passes through them So, infinite no. of planes passes through them

4). three points on the same line if and only if exactly one plane passes through them. ​

It is biconditional and false because more than one plane passes through them So, infinite no. of planes passes through them

Triangles RST and XYZ are shown at right. Emma knows
ZTELZ. She claims that triangles RST and XYZ are congruent. As part of her
reasoning, which theorem could she use? Select two that apply.

Answers

Answer:

Step-by-step explanation:

Given :-

TR = ZXSR = YX

To Prove :-

ΔRST ≅ ΔXYZ

Solving :-

TR = ZX (Given)SR = YX (Given)∠R = ∠X (Angle that lies between equal sides of respective parts of the triangle)ΔRST ≅ ΔXYZ (1,2,3, SAS congruence)

5) A cellphone company charges a monthly fee of $34.00, plus $0.05 per text message. If you have at most $52 to spend, how many text messages can you send?

Answers

Answer:

At most you can send 360 text messages while spending at most $52.

Step-by-step explanation:

Let x = money per text message

34.00 + 0.05x ≤ 52

-34.00            -34.00

[tex]\frac{ 0.05x}{ 0.05}[/tex] ≤ [tex]\frac{18}{0.05}[/tex] = 360

So, at most you can send 360 text messages while spending at most $52.

Answer:

360

Step-by-step explanation:

Give brainliest

At a wrestling event, ringside seating will consist of three rows being laid out. It is planned so each row will be two more seats than the one before it and 90 people must be seated in each section. How many people will be in the third row?

Answers

Answer:32

Step-by-step explanation:

need answer plz answer I NEEED ANSWER

Answers

Answer:

I believe Han's tastes stronger.

Step-by-step explanation:

His is less of a water fraction and more orange juice fraction.

Answer:

Han

Step-by-step explanation:

The answer is Han because she adds less water and water makes things less strong.

26 - 44 : 11 - 5*2- 2*(14:7) =

Answers

Answer: 4

Step-by-step explanation:

Follow the PEMDAS so the first thing you do is 14:7 which is 2. then you do the division and multiplication so the 44:11 is 4, 5*2 is 10, and 2*2 is 4. The next thing you do is addition and subtraction. 26-4-4-10-4 is 4. So, the answer is 4.

Solve the following system of equations using substitution, show all steps. 2x-4y=20 / x= 4

Answers

Answer:

(4, -3)

Step-by-step explanation:

Since we know that X = 4, when can set X = 4 in the other equation in order to solve for Y

2x - 4y = 20

2(4) - 4y = 20

8 - 4y = 20

-8           -8

-4y = 12

-4y/-4 = 12/-4

y = -3

Since we already know X = 4, the intersection point or solution to the System is (4, -3)

Hope this helps!

what is the sum of the degrees of the exterior angles of a convex pentagon

Answers

Answer:

The sum of the measures of the exterior angles of a convex polygon is 360 degrees.

Step-by-step explanation:

For his science fair project, Ernesto is investigating the water quality in his school's water fountains. He finds that the water is safe to drink; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have?

Answers

Answer:

0.52grams of dissolved solids.

Step-by-step explanation:

; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have

50ml = 13mg of dissolved solids

1 litre = 1000 millilitres

2 liter = 2 × 1000 = 2000millilitres

50ml = 13mg

2000ml =

Cross Multiply

2000ml × 13m/50ml

= 520mg of dissolved solids.

We are to convert our final answer to grams

= 1 milligram = 0.001 gram

520 milligram =

520 mg × 0.001g/1 mg

= 0.52 grams of dissolved solids

What is 70.5 rounded to the nearest whole number?

Answers

Answer:

71

Step-by-step explanation:

If a decimal needs to be rounded to a whole number, you need to refer to the tenths place in the decimal. In this case, that is "5" and in math, when rounding, if it is 5 or more, you round up to the next whole number. If it is 4 or less, you round down. So 70.5 rounded to the nearest whole number is 71. :)

Skylar has a bag that contains pineapple chews, apple chews, and peach chews. She performs an experiment. Skylar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Skylar performs the experiment 23 times. The results are shown below:
A pineapple chew was selected 8 times.
A apple chew was selected 9 times.
A peach chew was selected 6 times.

If the experiment is repeated 2000 more times, about how many times would you expect Skylar to remove a peach chew from the bag? Round your answer to the nearest whole number.

Answers

Answer:

522 times

Step-by-step explanation:

a peach chew was chosen 6 out of 23 times so we can create a proportion out of 2000 based on that ratio:

'p' = times peach is chosen out of 2000

6/23 =p/2000

cross-multiply to get:  

23p = 12000

p = 12000/23

p = 522 times

Answer:

522 times

Step-by-step explanation:

From this experiment, Skylar selects a peach chew 6/23 of the time. 6/23*2000=522. This works because 6/23 is the amount of chance Skylar has of selecting a peach chew if she selects one chew. If she selects 2000 chews, therefore, her odds of getting a peach chew would mean that she would get about 522 peach chews.

Estimate by rounding each term to 0, 1/2, or 1.
7/12 - 4/7

Answers

37949405005 the answer

here, what do we do if it says y=-x or y=x

Answers

You plot the points on the graph first with a pencil. Draw the given line, in this case, it's y=-x.

From a point, you do rise and run to the line and reverse it on the other side of the line to get the points.

Refer the attached diagram, for easy method.

Hope it helps :)

I need help asap please​

Answers

Answer:2.25

Step-by-step explanation:

you would move the variables to one side

-9= -6p+5p-3p

Then combine

-9= -4p

Then divide both sides by -4 which equals

2.25=p

Answer:

HKSHKSBSKSBZKSJSJSJKSSKJSSJJZJSKSBSKSKS B)

24b+25 what Is the value of b

Answers

Answer:

Tanong mo kay mama mo

Step-by-step explanation:

Kase mag aral ka ng mabuti wag puro brainly

please tell me. i have an hr to finish and try to get a passing grade so i won’t have to retake this class

Answers

Answer:

[tex]h(x)=\left(\cfrac{1}{10}\right)^3[/tex]

_______________

x      h(x)

-3     (1/8)^{-3}= 1000

-2     (1/8)^{-2}= 100

-1       (1/8)^{-1}=  10

0       (1/8)^{0}=   1

1         (1/8)^{1}= 1/10

________________

~

Sue solved an equation below. Check her work.

Answers

Answer:

You cant see the equation

Step-by-step explanation:

what is 22.8333333333 as a fraction?​

Answers

Answer:

22 83/100

Step-by-step explanation:

22 is a whole number, while .8333 is continues you have to round it to .83. .83 is in the hundredths place so it would be 83/110. So in the end you'll have 22 83/100

Answer: I’m assuming this is supposed to repeat because that’s ridiculous if it isn’t. The answer is 22 5/6

What is the GCF of 81 and 72?

Answers

Answer:

9

Step-by-step explanation:

81= 1,3,9,27,81

72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36,72

9 is the most common so GCF will be 9.

Answer:

See below.

Step-by-step explanation:

81 - 1,3,9,27,81

72 - 1,2,3,4,6,8,9,12,18,24,36,72

The GCF is 9.

-hope it helps

Are the pair of lines parallel, perpendicular or neither? 8x-4y=12 and 4x-y=-15

Answers

Answer:

neither, would technically be intersecting lines tho

Step-by-step explanation:

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