Two numbers differ by 4. The product of the two numbers is 221. What are the numbers?

Answers

Answer 1

Answer:

17 and 13

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Represent this with two linear equations:

x+4 = y

x * y = 221

substitute for y:

y= 221/x

Plug this back into first equation:

221/x = x +4

x^2 + 4x = 221

x^2 + 4x -221 = 0

Solve this with a quadratic:

x = -17, x = 13

take the values of 17 and 13, which satisfy the given conditions


Related Questions

What is (20+7) x 9+4

Answers

Answer:

solution,

(20+7)×9+4

27×9+4

243+4

247

Answer:

247

Step-by-step explanation:

(20 + 7) x 9 + 4

(27) x 9 + 4

243 + 4 = 247

Thus, (20+7) x 9+4 = 247

-TheUnknownScientist

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Simplify the expression and explain each step. (2 points) 4 ( 3 x + 2 ) − 2 b) Factor the expression completely. (1 point) 20 b − 16

Answers

Answer:

Step-by-step explanation:

To simplify the expression:

4(3x+2) - 2

The first step is to open the brackets

= 4 * 3x + 4* 2 - 2

= 12x + 8 - 2

= 12x - 6

Factor out the above expression, we get;

= 6(2x - 1)

To factor out the expression:

20b - 16

the factor that can be divided by 20 and 16 without remainder is 4;

So, we have:

= 4(5b - 4)

is the expression a valid way to calculate a 15% tip on a cab fare of d dollars?

Answer yes or no


EXPRESSION

0.10d + 0.05d Yes or No


0.85d Yes or No


1.015d Yes or No


0.15d Yes or no

Answers

Answer: Yes, no, no, Yes

If x=5 what is the perimeter of the triangle ??????

Answers

Answer: 21

Step-by-step explanation: Replace the x with 5.

2(5) + 11 = 10 + 11 = 21

6(5) - 9 = 30 - 9 = 21

Can you help me with this please cause I can't do math!

Answers

Answer:

6

Step-by-step explanation:

(3x-5)+(2x-1)+(x+1) = 6x-5 = 31

6x = 36

x = 6

Choose the TWO equations that have infinitely many solutions.
A
2(x+2) = 2 + 4
B
3(x + 1) = 3x + 2
С
3x + x = 4x
D
2(x + 1) = 2x + 1
E
3(x + 1) = 3x + 3

Answers

Answer:

C and E has All real numbers are solutions.

Step-by-step explanation:

hope this helps

At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g

Answers

Answer:

C (g) = 2.75g

Answer: C (g) = 2.75g

Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1.

Answers

Answer:

y = 0.47x + 25

y1 = 41.45 and not 55.55

Step-by-step explanation:

Given that:

x = number of brochures

y = total. Cost

Total cost of 35 brochures = $41.45

Total cost of 65 brochures = $55.55

The ordered pairs :

(x1, y1) ; (x2, y2)

x1 = 35 ; y1 = 41.45 ; x2 = 65 ; y2 = 55.55

(35, 41.45), (65, 55.55)

The slope :

Slope (m) = change in y / change in x

m = (y2 - y1) / (x2 - x1)

m = (55.55 - 41.45) / (65 - 35)

m = 14.1 / 30

m = 0.47

The y intercept :

y - y1 = m(x - x1)

y - 41.45 = 0.47(x - 35)

y - 41.45 = 0.47x - 16.45

y = 0.47x - 16.45 + 41.45

y = 0.47x + 25

Lila incorrectly chose 41. 45 as y1

Answer:

C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Step-by-step explanation:

Took the quiz on Edge && Made an 100%

Find the y-intercept for the following equation.
4x + 9y = 27

Answers

Answer:

(0,3)

Step-by-step explanation:

this is hard guys helppppp

Answers

Answer:

2. x= -7

3. x= 56/9

Step-by-step explanation:

All you do is just solve for x. Easy! :D

If you can please make my answer the brainliest that would be much appreciated. Thanks!

8x+ 10y = 40 How to write this in slope-intercept form?

Answers

Slope intercept form: y= mx + b
divide the equation by 10
8/10x + y = 40
Subtract 8/10x
y = -8/10x + 40

Step-by-step explanation:

write the slope in slope intercept form, y=mx+b

y= -4/5x + 4

hope this helps :)

You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?

Elizabeth Martz

Answers

Answer:

A= 63.6$

B= 51$

C= 54.6

D= ??? (sorry)

Step-by-step explanation:

hope this helps!

The answers to each part is given below.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that you buy a watch for $60.

{a} -

Total cost of watch -

{C} = ${60 + (6% of 60)}

{C} = ${60 + (6/100 x 60)}

{C} = $(60 + 3.6}

{C} = $63.6

{b} -

New sale price -

{D} = 60 - (15% of 60)

{D} = 60 - (15/100 x 60)

{D} = 60 - 9

{D} = $51

{c} -

Total cost of watch including tax -

{CT} = 51 + (6% of 51)

{CT} = 51 + 3.06

{CT} = 54.06

Therefore, the answers to each part is given above.

To solve more questions on percentage, visit the link below -

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the graph shows the height of a thrown ball x seconds after it is thrown. based on the situation, are there any constraints on the domain of the function

Answers

Answer:

The time can not be negative. Thus, the domain of the given graph function must have the interval [0, ∞].

In other words, t ≥ 0.

Step-by-step explanation:

We know that the domain of a function is the set of input or argument values for which the function is real and is defined.

Given that the graph is showing the height of a thrown ball x seconds after it is thrown.

We must check that the time can not be negative. Thus, the domain of the given graph function must have the interval [0, ∞].

In other words, t ≥ 0.

Answer:

more free points

Step-by-step explanation:

What is the value of x?

Answers

Answer:

15

Step-by-step explanation:

(180-78-12)/6

The value of x is prob 15 but idk

The grocery store sells cantaloupes for $4.50 per pound. Write a function to represent the situation. Then is the function continuous or discrete?

Answers

The function is y=4.5x and it is continuous

Subtract.

(2x4−x2+5x−2)−(−x4+3x3+2x2−1)

Answers

Answer:

477

Step-by-step explanation:

:)

Decrease £7200 by 5%
and what increases £2700 by 20%

Answers

Answer:

Decrease:£7,560

increase:£3,240

Solve the system by graphing.
y = 3x -4
y= -1/2x +3

Answers

Answer:

(2,2)

Step By Step Solution:

(2,2)

how to divide mixed fracions​

Answers

Answer:

Change each mixed number to an improper fraction.

Multiply by the reciprocal of the divisor, simplifying if possible.

Put answer in lowest terms.

Check to be sure the answer makes sense.

Step-by-step explanation:

Hope you have a good day

FIND THE AREA OF THE SEGMENT AYB. IF RADIUS OF THE CIRCLE IS 21cm AND ANGLE AOB= 120 DEGREE ( use pie= 22/7)


PLZ answer very urgent

Answers

Answer:

The area of the segment AYB is 271.0413985 cm²

Step-by-step explanation:

The rule of the area of a sector is A = [tex]\frac{\alpha }{360}[/tex] × π r², where

α is the central angle of the sectorr is the radius of the circle

The area of a triangle is A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ

s1 and s2 are two sides of the triangleФ is the included angle between s1 and s2

∵ Area of the segment AYB = Area the sector AOB - Area ΔAOB

∵ The radius of the circle is 21 cm

r = 21 cm

∵ The central angle of the sector is 120°

α = 120°

∵ π = [tex]\frac{22}{7}[/tex]

→ Substitute them in the rule of the area of the sector to find it

∵ Area sector AOB = [tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] × (21)²

Area of sector AOB = 462 cm²

∵ OA and OB are the radii of the circle

∴ s1 = OA and s2 = OB

s1 = s2 = 21 cm

∵ The angle included between them is 120°

Ф = 120°

→ Substitute them in the rule of the area of the triangle to find it

∵ Area of the Δ = [tex]\frac{1}{2}[/tex] × 21 × 21 × sin(120)

Area of the Δ = 110.25√3 cm²

∵ Area of the segment AYB = Area the sector AOB - Area ΔAOB

∴ Area of the segment AYB = 462 - 110.25√3

Area of the segment AYB = 271.0413985 cm²

Jordan is using a six-sided number cube to predict whether people shopping in the mall arrive by car or by bus. Based on data gathered in a survey, Jordan decided that a roll of 1 or 2 would represent a person having taken the bus, while any other outcome would represent arriving by car.

Answers

Answer:

1/3 of the people come by bus

2/3 of the people come by car

Step-by-step explanation:

The probability of getting a 1 or 2  by rolling the six sided number cube is

P ( 1or 2) = 1/6 + 1/6= 2/6= 1/3

The total probability is always 1 so to get the probability of people arriving by car we subtract the probability of people arriving by bus from 1.

P ( not getting 1 or 2) = 1- P ( 1or 2)

                               = 1- 1/3= 2/3

The probability of people arriving by bus is 1/3 and the probability of people arriving by car is 2/6or 2/3.

Answer:

The answer is C.As Jordan conducts more trials, the percent of people predicted to take the bus will approach 33%.  PLS MARK ME BRAINLYIEST PLS

Step-by-step explanation:

Scientists estimate between 10,000,000 and 50,000,000 monarch
butterflies per hectare spend the winter in Mexico. The monarch butterfly
colony covers an area of 2 hectares. What is the difference between the
greatest and least possible number of butterflies in the monarch colony?

Answers

Answer:

Step-by-step explanation:The Monarch Butterfly Biosphere Reserve is a World Heritage Site containing most of the ... The monarch butterflies migration patterns are altered by climate change. During migration ... This area is predominantly covered in forests. ... These colonies are dense, with between six and sixty million butterflies per hectare.

Answer:

80,000,000

Step-by-step explanation:

The difference between 10,000,000 and 50,000,000 is 40,000,000 per hectare. The question states two hectares, so 40,000,000 x 2 is 80,000,000.

Hope that helps.

It takes 30 tomatillos to make 8 ounces of
enchilada sauce. How many tomatillos does it
take to make 12 ounces of enchilada sauce?

Answers

Answer: 45 tomatillos

Step-by-step explanation: 30 tomatillos divided by 8 ounces is 3.75 tomatillos per ounce. So, multiply 3.75 by 12 ounces. What do we get? 45 tomatillos!

Hmm, it takes 45 tomatillos

Tomas combines 8.73 ounces of strawberries with 8.86 ounces of blueberries to make fruit bowls. He pours the fruit equally into 4 bowls, and has 0.23 ounces of fruit left over. How many ounces of fruit are in each bowl?

Answers

Answer:

8.73 Ounces

Step-by-step explanation:

8.73 + 8.86 = 17.59

17.59 - 0.23 = 17.36

17.36 divide by 4 = 8.73

Each bowl has 4.46 ounces of fruit.

What is division?

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

ounces of strawberries = 8.73 ounces

ounces of blueberries = 8.86 ounces

So, total ounces of fruits = 8.73 ounces + 8.86 ounces

⇒  total ounces of fruits = 17.59 ounces

Left over fruit = 0.23 ounces

So, total ounces of fruit in all bowls = 17.59 ounces - 0.23 ounces

total ounces of fruit in all bowls = 17.82 ounces

Since there are 4 bowls.

Thus, ounces of fruit in each bowl = 17.82/4 ounces

⇒ ounces of fruit in each bowl = 4.46 ounces

Thus, Each bowl has 4.46 ounces of fruit.

To learn more about Division :

brainly.com/question/28032495

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check if the two triangles are congruent​

Answers

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

The answer is yes they are congruent because if you flip the second one they are the same.

I hope this helped :)

PLEASE HELP !! Timed test Which equation represents the relationship between x and y in the table?

Answers

Answer:

divided by 5

Step-by-step explanation:

Hope that helps!

Answer:

Answer Choice D- y=x/5

Step-by-step explanation:

All the numbers in the table fit in and correlate to the equation. You can substitute any of the x's into the equation and get y correctly this is why the equation y=x/5 is the solution.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

what is the number of x
8x-2=-9+7x

Answers

Answer:

x=-7

Step-by-step explanation:

Brain-list?

Answer:

x= -7

Step-by-step explanation:

8x-2=-9+7x

7x-8x=x

x-2=-9

+2 to -9

x=-7

Find the slope: y=23x+10

Answers

Answer:

the slope is 23

Step-by-step explanation:

Perimeter = 24 meters
(x + 3) m
2.xm

Answers

Answer:

umm

Step-by-step explanation:

6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4)


sos idk how to solve this:)

Answers

Answer:

[tex]\huge\boxed{(f\circ g)(x)=8x-19}[/tex]

Step-by-step explanation:

[tex](f\circ g)(x)=f\bigg(g(x)\bigg)\\\\f(x)=4x-7;\ g(x)=2x-3\\\\\text{Put instead}\ x\ \text{expression}\ 2x-3\ \text{to }\ f(x):\\\\(f\circ g)(x)=4(2x-3)-7=(4)(2x)+(4)(-3)-7=8x-12-7=8x-19[/tex]

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