The sum of two numbers is 50 and the difference is 4

Answers

Answer 1

Step-by-step explanation:

let the 2 numbers be x and x + 4 as their deference is 4.

their sum = 50

now,

x + x + 4 = 50

2x + 4 = 50

2x = 50 - 4 = 46

x = 46/2 = 23

therefore two numbers are,

x = 23

x + 4 = 23 + 4 = 27

hope this answer helps you dear...take care and may u have a great day ahead!

Answer 2

Step-by-step explanation:

x + y = 50

x - y = 4

x = y + 4

let's use that as substitute in the first equation

y + 4 + y = 50

2y = 46

y = 46/2 = 23

=>

x = y + 4 = 23 + 4 = 27

the 2 numbers are 23 and 27.


Related Questions

Of the players on a bowling team7/10 or 7 won trophies. Explain how you can find the number of players on the team.?

Answers

Answer:

10players

Step-by-step explanation:

Using the concept of probability

probability =  expected outcome/total outcome

Total outcome s the numbers of players on the team

Given

Total number of trophy won = 7 (expected)

Fraction of those that won = 7/10 (probability)

Substitute

7/10 = 7/total outcome

1/10 = 1/total outcome

Reciprocate both sides

10/1 = total outcome

Swap

Total outcome = 10

Hence the number of players on the team is 10players

My grandmother’s cookie recipe uses 4 cups of sugar to make 35 cookies. My Uncle’s cookie recipe uses 3 cups of sugar to make 28 cookies. Whose cookies are sweeter?
Grandma's
Uncle's

Answers

Answer:

uncle's cookies

Step-by-step explanation:

Answer:

I think ur answer would be uncle cookies

Step-by-step explanation:

srry if wrong

hope this helps!

I need helppppppppppppp please

Answers

Answer:

I want to say A)

Step-by-step explanation:

In a quiz , team A scored 2 ,4 , -2 , 0 , -2 team B scored -4 ,2 , 2 ,-2 ,4 in successive5 rounds

.Which team scored more and by how much?

Please help​

Answers

Answer:

a. 2  b. 2

Step-by-step explanation:

if tan27° =k express the following in terms of k

1. sin 27°​

Answers

Answer:

) ''You need to consider 200^o = 180^o + 20^o , hence you need to use the next formula to evaluate sin 200^o  in terms of k:

sin (alpha + beta) = sin alpha*cos beta + sin beta*cos alpha

Plugging alpha = 180^o , beta = 20^o  in the formula yields:

sin 200^o = sin (180^o + 20^o) = sin 180^o*cos20^o + sin 20^o*cos 180^o

Plugging sin 180^o = 0  and cos180^o = -1  in the formula yields:

sin 200^o = - sin 20^o = -k''

Step-by-step explanation:

''Given sin 20°=k express the following in terms of k a) sin 200° b) cos 20° c) tan(-20°) d) sin 70° Related to trigonometry.''     https://www.enotes.com/homework-help/given-sin-20-k-express-following-terms-k-sin-200-b-307263      hope this helps

Find f-1(x) if f(x) = 2x/3-4

Answers

Given:

The function is:

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

To find:

The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=\dfrac{2x}{3}-4[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{2y}{3}-4[/tex]

Step 3: Isolate y.

[tex]x+4=\dfrac{2y}{3}[/tex]

[tex]3(x+4)=2y[/tex]

[tex]\dfrac{3x+12}{2}=y[/tex]

[tex]\dfrac{3}{2}x+6=y[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]

Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].

y is directly proportional to x^3
y = 17
when
x = 4
Work out an equation connecting y and x.​

Answers

Answer:

[tex] 64y = 17 {x}^{3} [/tex]

Step-by-step explanation:

[tex]y \: \alpha \: {x}^{3} ....(given) \\ \therefore \: y = k {x}^{3} .. (1)\\ (k =arbitrary \:constant) \\when \: x = 4, \: \: y = 17, \:k =? \\ 17 = k {(4)}^{3} \\ 17 = 64k \\ k = \frac{17}{64} \\ plug \: k =\frac{17}{64} \: in \: equation \: (1) \\ y = \frac{17}{64} {x}^{3} \\ 64y = 17 {x}^{3} [/tex]

The correct equation connecting y and x is,

⇒ y = 17/64x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ y is directly proportional to x³

Hence, We get;

⇒ y = kx³

Here, y  17 at x = 4;

Hence,

⇒ 17 = k × 4³

⇒ k = 17 / 64

Thus, The correct equation connecting y and x is,

⇒ y = 17/64x

Learn more about the mathematical expression visit:

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FIRST CORRECT ANSWER GETS BRANLIEST PLEASE HELP!!!! PHOTO ABOVE

Answers

Answer:

Step-by-step explanation:

The Pythagorean theorem is that (for right triangles)

a^2+b^2=c

Meaning c is the side opposite the right angle

Hope this helps!

Please help math experts thank you

Answers

Answer:

.33333 or rounded .33

Step-by-step explanation:

There are 4 months that end in an r

This means that 1 third of the months end in r or .33

Which of the following correctly gives the center and radius of the circle defined by the equation (x - 7)2 + (x - 2)2 = 10? A. Center: (7, 2); Radius = 100 B. Center: (7, 2); Radius = 10 C. Center: (-7, -2); Radius = 100 D. Center: (-7, -2); Radius = 10​

Answers

Answer:

Center (7,2) and radius = 10

Step-by-step explanation:

Generally, we have the equation of a circle as follows;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10

Can somebody plz help me out:)))

Answers

Answer:28 possibly? I know that you connect it with the angles use across from the angle I hope I helped a little

Step-by-step explanation:

Answer:

Sin 30°

= 0.5 appromaxit

GODD SOMEONE HELP ME RIGHT NOW PLEASE THIS IS DUE TODAY AND I AM DUM I GIVE POINTS AND BRAINLIEST JUST HELP MEEE

Answers

Answer:

-5 and -6

Step-by-step explanation:

For trinomial factoring, you need two numbers that add up to get the -11x and two numbers that multiply to get 30.

-5 + (-6) = -11

-5 × -6 = 30

need help no bots those guys r so annoying

Answers

Answer:

AC = 16

KL = 5.625

Source(s):

Dude trust me

brainliest tho??

Step-by-step explanation:

5/KL = 12/13.5

12KL = 67.5

KL = 5.625

AC/18 = 12/13.5

13.5AC = 216

AC = 16

Can someone help me with this problem?

Answers

Answer:

a) 2

b) 3

c) 1

hope this helps :)

B. Find the perimeter of the garden when the width is
8 feet.

Answers

Answer:

10 - 16

Step-by-step explanation:

Find the slope of a line parallel to each given line.

Answers

equation of a straight line
y = mx +c
y = y coordinate
m = gradient / slope
x = x coordinate
c = y intercept

question is asking to find slope so it will be “m”
Therefore answer

13) 2/3
14) 9/5

Please help quick! I’ll give brainluilyst just please help me

Answers

1. Is 2. Is multiplayer them by each other

3 times a number is 4 less than the square of that number. Find the negative solution.

Answers

3X=X^2-4
So X=4
Negative -4

need help will give brainliest

Answers

Answer:

40.56

Step-by-step explanation:

2pir

8÷2=r=4

2pi4=25.13

25.13÷2=12.565

10+10+8+12.56=40.565

Find the length of side x in simplest radical form with a rational denominator.
45
X
45
V8

Answers

Answer:

relationship between perpendicular and hypotenuse is given by sin angle

sin45=p/h

sin45=√8/x

1/√2=√8/x

x=2√2×√2=2×2=4

x=4

While mike was visiting his sister in arlington,he bought an aquarium that was marked down 60% from an original price of $100 .if the sales tax in Arlington is 5% ,what was the total cost of the arquarium?

Answers

Answer:

The cost of the aquarium was $38

Step-by-step explanation:

I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38

The total cost of the aquarium is the sum of the marked down price and

the sales tax.

The total cost of the aquarium is $42

Reasons:

The known information are;

Original price of the aquarium = $100

The marked down percentage of the aquarium = 60%

The sales tax = 5%

[tex]Mark \ down = \dfrac{Difference}{Current \ selling \ price} \times 100[/tex]

[tex]60 \% = \dfrac{Difference}{100} \times 100[/tex]

Which gives;

The difference in sale = $100 - Marked down price = $60

Marked down price = $100 - $60 = $40

The marked down price = $40

The tax is applied to the marked down price, therefore, we get;

Sales tax = 5% × $40 = $2

The total cost = Marked down price + Sales tax

The total cost of the aquarium = $40 + $2 = $42

Learn more here:

https://brainly.com/question/17852801

https://brainly.com/question/19091415

The hot tub is shaped like a rectangular prism. It is 7 feet long, 3 1/4 feet deep, and has a volume of 159 1/4 cubic feet. What is the width of the hot tub?

Answers

Answer:

w = 7 feet

Step-by-step explanation:

Volume of a rectangle prism = length × width × height

Length = 7 feet

Width = ?

Height = 3 1/4 feet

Volume = 159 1/4 cubic feet

Volume of a rectangle prism = length × width × height

159 1/4 = 7 × w × 3 1/4

637/4 = 7 × w × 13/4

637/4 = 7 × 13/4 × w

637/4 = 91/4w

w = 637/4 ÷ 91/4

= 637/4 × 4/91

= 637*4 / 4*91

= 2548 / 364

w = 7 feet

which shows the solution in the inequality? -2x > 18
A. x >9
B. x<-9
C. x>-9
D.x<9
HELP PLEASE

Answers

Answer: x<-9

Step-by-step explanation:

-2x>18

-2x/(-2)<18/(-2)

x< -9

The value of the solution in the inequality is,

⇒ x < - 9

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ - 2x > 18

Now, We can simplify as;

⇒ - 2x > 18

⇒ - x > 18/2

⇒ - x > 9

⇒ x < - 9

Thus, The value of the solution in the inequality is,

⇒ x < - 9

Learn more about the inequality visit:

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which equation represents that relationship ??​

Answers

Answer:

A

Step-by-step explanation:

A proportional relationship either increases or decreases its points at the same rate. In the first set of ordered pairs, the x values all increase by 3 while the y values all increase by 6, which is twice the value of the x values' increasing. The second set of ordered pairs is not proportional because all pairs' x values increase by 2 while the y values increase by 8 until ordered pair (5, 20), so this set therefore is non-proportional. y = x + 3 is the correct equation because it represents that the y value is always 3 greater than the x value. All the shown ordered pairs for set 1 supports this (3 - 0 = 3, 6 - 3 = 3, 9 - 6 = 3, 12 - 9 = 3).

Tom has a 15 pounds bag of cat food. If he feeds his cat 1/4 pound
of food each day. How many days will the 15 pound bag of
cat food last? Show your thinking.

Answers

Answer:

it will take his cat 60 days to finish the entire bag

Step-by-step explanation:

GEOMETRY - triangle similarity

Answers

Answer:

ΔABC ≈ ΔDEF

∡B ≅ ∡E

x = 4.5

BC is similar to EF

Step-by-step explanation:

to find 'x':

6/16 = x/12

16x = 72

x = 4.5

Answer:

1) tri ABC ~ tri DEF

2) angle B ~ angle E

3) x= 4.5

4) ?= BC

Step-by-step explanation:

hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)

1) I just matched up the letters, A to D, B to E, C to F

You can also use ratios, but if you dont need an explanation then ignore it.

2) matched up the angles: B corresponds to E

3) Ratio: 6/16 = x/12

              16x = 72   cross multiply

                 x = 4.5

4) Again, just match up the sides

BC corresponds to EF

hope this helps :D best of luck

Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve. 6x^2-x-2=0

Answers

Given:

The quadratic equation is:

[tex]6x^2-x-2=0[/tex]

To find:

The nature of the solutions by using the discriminant.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then its discriminant is:

[tex]D=b^2-4ac[/tex]

If D<0, then both roots are complex.

If D=0, then both roots are real and equal.

If D>0, then both roots are real and distinct.

We have,

[tex]6x^2-x-2=0[/tex]

Here, [tex]a=6,b=-1,c=-2[/tex]. So, the value of the discriminant is:

[tex]D=(-1)^2-4(6)(-2)[/tex]

[tex]D=1+48[/tex]

[tex]D=49[/tex]

Since [tex]D>0[/tex], then both roots are real and distinct.

Hence, the discriminant of the given quadratic equation is 49 and both roots are real and distinct.

How do you break apart the factor 627 using place value?

Answers

Answer:

6 hundreds

2 tens

7 ones

Step-by-step explanation:

Un albañil construye una casa en 5 días si debe construir 3 casas cuántos días se demorará

I'll give you brainiest if you help me.

Answers

Answer:

88 degrees.

Step-by-step explanation:

Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)

60 PTSA grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week, 26 boxes of the cereal were sold. In the 2nd week, 58 boxes of the cereal were sold and in the 3rd week 90 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence.
Show all work!
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n.

B) Use this rule to calculate how many boxes of cereal will be sold during the 9th week.

Answers

Answer:

aₙ = 31n -  5

Step-by-step explanation:

The terms of your sequence are.

26, 57, 88, …

This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,  

aₙ = 26 + 31(n - 1) = 26 + 31n - 31

aₙ = 31n - 5

The explicit rule for the arithmetic sequence is aₙ = 31n - 5.

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