The difference of two numbers is 4 and their product is 60. Find the numbers.​

Answers

Answer 1

Answer:

x = 10; y = 6

Step-by-step explanation:

Let's list the factors of 60 because the product of those numbers is 60.

⇒ Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The following possibilities of x and y are possible using (x × y = 60):

60 and 1 ⇒ x = 60; y = 1 ⇒ 60 × 1 = 6030 and 2 ⇒ x = 30; y = 2 ⇒ 30 × 2 = 6020 and 3 ⇒ x = 20; y = 3 ⇒ 20 × 3 = 6015 and 4 ⇒ x = 15; y = 4 ⇒ 15 × 4 = 6012 and 5 ⇒ x = 12; y = 5 ⇒ 12 × 5 = 6010 and 6 ⇒ x = 10; y = 6 ⇒ 10 × 6 = 60

Let's check each possibilities using the equation (x - y = 4):

60 and 1 ⇒ 60 - 1 = 59 ≠ 430 and 2 ⇒ 30 - 2 = 28 ≠ 420 and 3 ⇒ 20 - 3 = 17 ≠ 415 and 4 ⇒ 15 - 4 = 11 ≠ 412 and 5 ⇒ 12 - 5 = 7 ≠ 410 and 6 ⇒ 10 - 6 = 4 = 4 (Correct)

Thus, the values of x and y are 10 and 6 respectively.


Related Questions

dialations he said she said answer key

Answers

Answer: What?

Step-by-step explanation:

The perimeter of a rhombus is 84 inches. one
diagonal is 12 inches. find the area of the
rhombus. round your answer to the nearest
hundredth if necessary.

Answers

Answer: 241.5 square inches

Step-by-step explanation:

1+1=? My teacher really wants to test my knowledge, so someone confirm this question for me

Answers

Answer:

This is a pretty tricky question but if I'm correct it might be 2

The total surface area of a right cylinder which has a base diameter of 10 cm and a height of 7 cm is:
388 square centimeters.
377 square centimeters.
363 square centimeters.
352 square centimeters.
391 square centimeters.

Answers

Answer:

377 square centimeters

Step-by-step explanation:

Formula: h(2×pi×radius) I know there's a second part but I'm doing this first.

First find the radius, in the problem it says a diameter of 10cm

Divide 10 by 2 to find the radius = 5

I'm going to use 3.14 as Pi

7(2×3.14×5)

7(31.4) = 219.8

Next part, solving for the 2 circles

Formula: 2×pi×radius²

2×3.14×5²

solve 5² first (5×5) = 25

2×3.14×25 is 157

add 219.8 and 157 = 376.8 round to 377

Answer: 377 square centimeters

35 Points Mark Brainliest Help​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's write the equation of line in slope point form ~

[tex]\qquad \sf  \dashrightarrow \:y - y1 = m(x - x1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:y -2 = 3(x -1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:y -2 = 3x - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 3x -1[/tex]

Now, let's use this equation of line to plot two points ~

when x = 0, y = (3 × 0) - 1 = - 1

when x = -1, y = (3 × -1) -1 = -4

Now, plot these points on graph ~

(0 , -1) and (-1, -4)

Riley and her friends buy snacks at the movies. They buy 3 pretzels and 4 drinks for $17.50. The cost of a pretzel is the same as the cost of a drink. The situation can be represented by the graph and the system of equations shown, where p is the cost of a pretzel and dis the cost of a drink. I a. What is the cost of each pretzel? What is the cost of each drink? Show your work.​

Answers

Answer:

Each costs $2.50

Step-by-step explanation:

Given

Cost of 3 pretzels and 4 drinks = $17.50p = d

Solving

3p + 4d = 17.50But, p = d3d + 4d = 17.507d = 17.50d = $2.50p = $2.50

Find the slope of the line through the points (3,-4) and(-5,2)

Answers

hello!

Use the slope formula:-

[tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the values:-

[tex]\displaystyle\frac{2-(-4)}{-5-3}[/tex]

[tex]\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}[/tex]

Reduce the fraction by dividing the top & bottom by 2:-

[tex]-\displaystyle\frac{3}{4}[/tex]

[tex]\uparrow\sf{Slope}[/tex]note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

A gumball machine contains 232323 green gumballs, 525252 red gumballs, 343434 blue gumballs, 616161 yellow gumballs, and 303030 pink gumballs. What percentage of the gumballs are red?.

Answers

Answer:

%26

Step-by-step explanation:

We can set up a proportion to find out what percentage of the gumballs are red:

[tex]\frac{525252}{232323+525252+343434+616161+303030} =\frac{x}{100}[/tex]

[tex]\frac{525252}{2020200} =\frac{x}{100}[/tex]

[tex](525252)(100)=2020200(x)[/tex]

[tex]\frac{(525252)(100)}{2020200} =x[/tex]

[tex]26=x[/tex]

Since we set up x as a fraction of 100 when writing the proportion we can say that the percentage of red gumballs is %26.

Frank, Steven, and Daniel share 4 pizzas equally. How much pizza will they each get?? please explain in division expression and fraction work if you want and the sentence PLSPLSPLSPLSPLSPLSPLSPLSPLSPSLSLS

Answers

Answer: They both will get 2 pizzas

Step-by-step explanation: 4 divided by 2

PLS HELP ME I WiLL MARK THE BRAINLIEST

Answers

Answer:

look at analysis

Step-by-step explanation:

1. 152

2. 200

3. 10857

4. 123.4

5. 1848

What is the simplified form of each expression?
-(10) ^-1
A) -1/10
B)- 1/-1^10
C) 1/10
D)10
1/c^-5
A) c^5
B) 5c
C) -c^5
D) - 5/c
What is the value of y^-5/x^-3 for x = 2 and y = -4?
A) 10/3
B) 128
C) - 1/128
D) -128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8?
A) Yes; the number is written in scientific notation
B) No; the first factor is not a number between one and ten
C) No; it is not written as a number times a power of ten
What is the number written in standard notation 5.71 x 10^-3?
A) -171.3
B) 0.0571
C) 0.000571
D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter?
A) 1.9 x 10^-4, 1.7 x 10^-4, 1.4 x 10^-3, 1.2 x 10^-5
B) 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
C) 1.9 x 10^-4, 1.7 x 10^-4, 1.2 x 10^-5, 1.4 x 10^-3
D) 1.2 x 10^-5, 1.4 x 10^-3, 1.9 x 10^-4, 1.7 x 10^-4
What is the expression written using each base only once (-4) ^-6 (-4) ^7?
A) 4^13
B) -4
C) 13
D) 1
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4)
A) 1.1 x 10^3
B) 2.4 x 10^3
C) 1.1 x 10^-23
D) 2.4 x 10^-23
What is the simplified form of the expression (m^7) ^2?
A) 2m^14
B) m^49
C) m^9
D) m^14
What is the simplified form of the expression t^8 (t^10) ^0?
A) t^-80
B) t^80
C) t^8
D) t^-8
What is the simplified form of the expression (3q^2) ^4?
A) 3q^16
B) 81q^6
C) 3q^8
D) 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6?
A) 9x^8 y^12
B) 3x^8 y^12
C) 2x^3 y^12
D) 9x^7 y^9

Answers

Answer:

-(10)^-1 = A. -1/10

y^-5/x^-3 for x = 2 and y = -4. C. -1/128

Is the number written in scientific notation, if not explain, 5.1 x 10^-8? A. Yes; the number is written in scientific notation

What is the number written in standard notation 5.71 x 10^-3? D) 0.00571

Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter? B. 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3

What is the expression written using each base only once (-4) ^-6 (-4) ^7? B. -4

Find the simplified form of the expression. Give your answerer in scientific notation.

(3 x 10^6) (8 x 10^-4) B. 2.4 x 10^3

What is the simplified form of the expression (m^7) ^2? D. m^14

What is the simplified form of the expression t^8 (t^10) ^0? C. t^8

What is the simplified form of the expression (3q^2) ^4?

D. 81q^8

What is the simplified form of the expression (3xy^3) ^2(xy) ^6? A. 9x^8 y^12

The lengths of two sides of a triangle are 4 inches and 7 inches. What is a possible length, in inches, of the third side?

Answers

Answer:

well if im wrong then sorry but i think its 11 !!

Step-by-step explanation:

The possible length of the third side should be greater than 11.

What is triangle?

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Given that the lengths of two sides of a triangle are 4 inches and 7 inches.

We need to find the possible length of the third side,

So, according to the triangle inequality theorem,

For any given triangle, the sum of two sides of a triangle is always greater than the third side.

So, the sum of two sides = 4 + 7 = 11


Hence the possible length of the third side should be greater than 11.

Learn more about triangles click;

https://brainly.com/question/2773823

#SPJ2

Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?

Answers

Answer:

the answer is k= -12

Step-by-step explanation:

use x-5= 0

x=5

7.3 reteaching with practice 415-420

Answers

5. Y,45 is the axial amount of the y axis items 5

ben exercises every 12 days and isabella every 8 days. both isabella and ben exercised today. how many days till they exercise together again?

Answers

Answer:

24 days

Step-by-step explanation:

lowest common multiple of 12 and 8 is

24

For them to exercise together again, the day must be a common multiplier of 12 and 8

12 = [tex]2^{2} . 3[/tex]
8 = [tex]2^{3}[/tex]

So, their LCM is [tex]2^{3} .3 = 24[/tex]

=> After 24 days, they will exercise together again.

hey hi hello whats up can someone help me with this please??........ thank you! :)​

Answers

Answer:
6.79
Step-by-step explanation:
the 9 in the thousand makes the 8 in the hundredth place go up

Sure!

The hundredths place is the second in a decimal.

with rounding, if the number is greater than or equal to 5, you round up, if not, you round down.

In this case we round up because 9 is bigger than 5.

So, it becomes 6.79

Therefore your answer is B

Kelley has 18 hours of work to do on her science fair project. She has 2 weeks to complete her project. How many hours does she need to work on her project each week to complete it on time?

Answers

Answer:

9

Step-by-step explanation:

Brainly patrol deleted my answer and i have no idea why but-

She has 2 weeks, so 18/2 is 9. 9 hours each week

Which expression is equivalent to 23−14x+12x−16?

Answers

The Answer is

7 - 2x

Step-by-step explanation:

23 -14x + 12x - 16

(23 - 16) + (-14x + 12x)

= 7 - 2x

hope this help a'lot

The expression equivalent to 23−14x+12x−16 is 7 - 2x

How to find equivalent expressions?

Here we simply take our expression to simplify it.

We start with:

23−14x+12x−16

First, we combine all the terms having x and combine other constant values.

(23 - 16) + (-14x + 12x)

Now we solve the two parts of the above expression we will get,

7 + (- 2x)

Simplifying we get,

7 - 2x

Therefore  the equivalent expression is 7 - 2x

Click here for more on equivalent expressions - brainly.com/question/3268654

#SPJ2

I need Help Please, I will give brainliest!

Answers

Answer: You do I-ready welp I can help you

Step-by-step explanation:

I think it is 1 whole

This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red. Section Outcomes Blue 22 Yellow 32 Red 46 Based on the outcomes, enter the estimated probability of the spinner landing on blue.

Answers

Based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.

What do you mean by probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red.

Section      Outcomes Blue                22 Yellow            32 Red                 46 Total               100

The total number of outcome is 100. The total number of favorable outcome to land blue is 22.

Thus, the estimated probability of the spinner landing on blue has to be found out is,

[tex]P=\dfrac{22}{100}\\P=0.22\\P=22\%[/tex]

Hence, based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ1

Jake drew the sketch below of a kite that he wants to make.
A kite with height equal to the sum of 10 centimeters and 50 centimeters and the width equal to the sum of 20 centimeters and 20 centimeters.
Part A
Which of the following expressions can be used to find the area of the kite? Select all that apply.
2 (12 × 20 × 50) + 2(12 × 20 × 10)
2 (12 × 20 × 60)
2 (20 × 50) + 2(20 × 10)
12 (20 × 50) + 12(20 × 10)
12(40 × 60)
Part B
What is the area of Jake's kite? Enter your answer in the box.

area =
cm2

Answers

Answer:

Part A: 2 (20 × 50) + 2(20 × 10)

Part B: 1200 cm²

Step-by-step explanation:

Part A:

2 (20 × 50) + 2(20 × 10)

= 2(1000) + 2(200)

= 2000 + 400

= 2400

Part B:

Divide the answer by 2.

= 2400/2

= 1200 cm²

Because the formula to find the area of a kite is

1/2 x (p x q), where p is the sum of a diagonal and d is the sum of a diagonal.

Please help

Select all of the non-real complex numbers in the given table.​

Answers

Answer:

All the expressions that have a negative in the radical

(Boxes 2, 3 5, and 6)

Step-by-step explanation:

You can't take the square root of a negative number. When you square a number, the product will always be positive.

Hope this helps!

Please help the answer options are
1 mph
1 hour per mile
2mph
2 hours per mile

Answers

Answer:

I am positve it 2mph

Step-by-step explanation:

becuase for evry hr u drive 2 miles

translation: 6 units right and 2 units down
D(-5, 1), E(-5,2), F(-1, 3), G(-1, -1)

Answers

Answer:

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

Step-by-step explanation:

Hope this helps!

Answer:

See below.

Step-by-step explanation:

A translation of 6 units right is 6 added to the x-coordinate.

A translation of 2 units down is a 2 subtracted from the y-coordinate.

Are D through G answer choices, or are you supposed to do the above translation to those 4 points?

Look at attachment below please help
100 POINTS AND BRAINLYIEST

Answers

Answer:

x = 28 unitsy = 14 units

Step-by-step explanation:

Given is 30 x 60 x 90 right triangle

The side ratios of this triangle is

y : 14√3 : x = 1 : √3 : 2

Find the value of x and y using this ratio

y = 14√3/√3 = 14x = 2y = 2*14 = 28

Let's find

sin60=14√3/x√3/2=14√3/xx=14×2x=28units

And

tan60=14√3/y√3=14√3/yy=14units

i do not know this answer

Answers

The value of the provided function 14g²,  at the point g equal to negative 1 is 14, when this value is put in the function.

How to evaluate the value of a function at a point?

To find the value of a function at a particular point, the value of the point has to be put on the place of a variable in the function and simplify the equation.

To evaluate the value of a function at a particular point, follow the steps given below.

Write down the function.Put the value of point in place of variable. Simplify the equation to find the value.

The function given in the problem is,

[tex]f(g)=14g^2[/tex]

Here, the value of the function has to evaluate at g=-1. Put the value of g in the above function as,

[tex]f(-1)=14(-1)^2\\[/tex]

The square of -1 is 1. Thus,

[tex]f(-1)=14\times1\\f(-1)=14[/tex]

Hence, the value of the provided function 14g²,  at the point g equal to negative 1 is 14, when this value is put in the function.

Learn more about the value of a function here;

https://brainly.com/question/875118

#SPJ1

South america and africa are drifting apart at a rate of 3.5 cm each year. how far apart will they be in 5,000,000 years

Answers

Answer:

17,500,000 cm.

Step-by-step explanation:

3.5cm(5,000,000 years) = 17,500,000

factor each completely

m^2 + m - 90

Answers

Answer:

(m - 9) (m + 10)

Step-by-step explanation:

m² - 9m + 10m - 90

(m² - 9m) + (10m - 90)

m(m - 9) + 10 (m - 9)

Final answer;

(m - 9) (m + 10)

a. What is 50% of R1,00?

Answers

Answer:

1000÷50%=2000

Step-by-step explanation:

hope it helps

The required simplified value of R is 2000, as of the given percentage.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let the required value be R,
50% of R = 100
R = 100 / 50%
R = 100 / 0.50
R = 2000

Thus, the required value of R is given as 2000.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ1

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x = 0.8

Step-by-step explanation:

For this problem we will be using trigonometry :

Other Questions
A beach volleyball court is 9 meters wide and 18 meters long. The rope used for the boundary line costs $1.67 per meter. How much would it cost to buy a new boundary line for the court? help!Can you please give me the area of this. I would really like it. Select the correct answerChoose the number sentence that ilustrates the distributive property of multiplication over Read the newspapers for two weeks about issues being discussed or votupon by your state legislators. Are there any new laws that have beenDassed recently or that are being featured in the press? Write very briefsummaries of these articles who ever can answer this qustion will be marked as brainlest and will get 30points 2.4.4 Practice (Word roots)You may choose any three words from list!Please click on the link before answer.Make sure the sentences are in YOUR own words, Also read the bottom of the screenshot! It would also be helpful! Qu idiomas te interesan ms? Hablas con fluidez otros idiomas adems del principal? De ser asi, cuales? Which sentence states a fact? A. Wicked starred Kristin Chenoweth and Idina Menzel when it opened on Broadway on October 30, 2003. B.Based on a novel by Gregory Maguire, the musical Wicked is the most entertaining show you will find, on or off Broadway. Introduction to linear algebra 4th edition solutions A 4-- pounds bag of chocolate bars cost $16.24. What is the unit price please help.. no links Using the heart rate formulas you learned in this lesson, calculate your various heart rates, and then respond to the questions based on your results. A. Calculate your resting heart rate. 1. Resting heart rate: 2. Were you surprised by your resting heart rate? Why or why not? 3. Did you measure it several times to make sure it was accurate? 4. How do you feel about your resting heart rate compared to the American Heart Association's recommendations for healthy adult resting heart rate range? Fill in the missing comparative terms to complete each sentence.2 questions**only answer if u actually know what ur doing dont just translate it please its not accurate** What are some ways that scientists and engineers are using our understanding of DNA? please help fast it is due 2(x - y)2 - 9(x - y) + 10 Which questions best demonstrate how to objectively evaluate an essay for interesting and unique presentation?Select two options.Do I agree with the ideas presented?Do I think the writing is interesting?Do I like the essay?Do I see that the writer tried to add style to the essay?Do I notice that the writer tries to engage readers? Considerando a questo visual do desenho e a interpretao de formas bsicas para poder realizar uma composio e fazer elementos com boas propores, analise as afirmativas a seguir e assinale a que corresponde a boa execuo do desenho apresentado na figura 1: Please help me with this question give a brief description of the work or future study opportunity