The sum of two numbers is 36. The difference of the numbers is 14. What are the numbers? Write your answer as an ordered pair with no
spaces and in this order (smaller number, larger number)

Answer:

Expanded Expression: 1s- 0.59s

Simplified Expression : 0.41 s

Discounted Price=  $ 2.46

Step-by-step explanation:

Directions: Write two markup or markdown expressions for each problem below. Then substitute the given value for the variable and evaluate the expression.

The Discounted Price is found out after deducting the discount from the original price.

Let 100 be the sale price then the discount is 59 and the discounted price would be 100- 59= $41

Sale Price = $ s

Discount = 59% of $ s

Discounted Price = s- (100-59)/100*( $s) = 1s- 0.59s   = 0.41 s

Expanded Expression                             Simplified Expression

 1s- 0.59s                                                                      0.41 s

Find the sale price of the Smelly Cat litter, when the regular price was $6 per bag.

Sale Price = $ 6

Discount = 59% of $ 6

Discount= (59/100) $6= $ 3.54

Discounted Price= Sale Price - Discount= $6 - $ 3.54= $ 2.46

                                                    Question 1

Given the sequence

31, 61, 91, 121,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

61 - 31 = 30, 91 - 61 = 30, 121 - 91 = 30

The difference between all the adjacent terms is the same and equal to

d = 30

As the first term of the sequence is:

a₁ = 31

now substituting a₁ = 31 and d = 30 in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=30\left(n-1\right)+31[/tex]

[tex]a_n=30n+1[/tex]

Now, putting n = 36 to determine the 36th term

[tex]a_n=30n+1[/tex]

[tex]a_{36}=30\left(36\right)+1[/tex]

[tex]a_{36}=1080+1[/tex]

[tex]a_{36}=1081[/tex]

Thus,  the 36th term is:

[tex]a_{36}=1081[/tex]

                                               Question 2

Given the sequence

-34, -44, -54, -64, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]-44-\left(-34\right)=-10,\:\quad \:-54-\left(-44\right)=-10,\:\quad \:-64-\left(-54\right)=-10[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=-10[/tex]

As the first term of the sequence is:

a₁ = -34

now substituting a₁ = -34 and d = -10 in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=-10\left(n-1\right)-34[/tex]

[tex]a_n=-10n-24[/tex]

Now, putting n = 26 to determine the 36th term

[tex]a_n=-10n-24[/tex]

[tex]a_{26}=-10\left(26\right)-24[/tex]

[tex]a_{26}=-260-24[/tex]

[tex]a_{26}=-284[/tex]

Thus, the 26th term is:

[tex]a_{26}=-284[/tex]

Answer: 2t - 20

Step-by-step explanation:

Jojo spends t minutes doing homework.

He then spends 20 minutes less than twice that amount of time doing homework.

For homework therefore, let us breakdown the time spent:

When doing homework, Jojo therefore spends:

= 2t - 20

Answer:

-11

Step-by-step explanation:

7-10-8 = -11

Answer:

-11

Step-by-step explanation:

7 - 10 = - 3

-3 + 8 = -11

hope this helps

Answer:

c

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

z=12

Step-by-step explanation:

Multiply both sides by 2

Answer:

15,211 feet

Step-by-step explanation:

According to the question,  given data are as follows:

Airplane altitude = 14,690 feet above

Submarine depth = 521 feet below

So, let the difference between these two elevation be d,

So, we can calculate difference by using following formula:

Difference = Airplane altitude + Submarine depth

By putting the value, we get

Difference = 14,690 + 521

= 15,211 feet

Answer:

The second one is the better deal

Step-by-step explanation:

The first one each pencil is 25 cents

The second one each pencil is 20 cents!

hope this helps!

Answer:

The 20-pack because four 5-packs of pencils would be 5 dollars and the same amount of pencils for the 20-pack is only 4 dollars. So the 20-pack is the better deal.

Step-by-step explanation:

Answer:

m=13/7

Step-by-step explanation:

the equation for slope (m) is (y2-y1)/(x2-x1)

the given points are (0,5) and (-7,-8)

we can label them:

x1=0

y1=5

x2=-7

y2=-8

now substitute into the equation

m=(-8-5)/(-7-0)

m=-13/-7

m=13/7

the slope is 13/7

hope this helps!

Answer:

it's answer is package 1 $ 200 for 5 months

hope it helps you

Answer:

I think no A

if wrong correct me plsssssss

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

Answer:

The probability that the next marble Licia chooses will be black is 5/8

Step-by-step explanation:

answer choice A

Given:

In an isosceles triangle LMN, LM=MN.

[tex]m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ[/tex]

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

[tex]LM=MN[/tex]                     (Given)

[tex]m\angle N=m\angle L=(2x+36)^\circ[/tex]   (Base angles of an isosceles triangle are equal)

Now,

[tex]m\angle L+m\angle M+m\angle N=180^\circ[/tex]

[tex](2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ[/tex]

[tex](7x+89)^\circ=180^\circ[/tex]

[tex](7x+89)=180[/tex]

On further simplification, we get

[tex]7x=180-89[/tex]

[tex]7x=91[/tex]

[tex]x=\dfrac{91}{7}[/tex]

[tex]x=13[/tex]

The value of x is 13. Using this value, we get

[tex]m\angle L=(2(13)+36)^\circ[/tex]

[tex]m\angle L=(26+36)^\circ[/tex]

[tex]m\angle L=62^\circ[/tex]

Similarly,

[tex]m\angle M=(3(13)+17)^\circ[/tex]

[tex]m\angle M=(39+17)^\circ[/tex]

[tex]m\angle M=56^\circ[/tex]

And,

[tex]m\angle N=m\angle L[/tex]

[tex]m\angle N=62^\circ[/tex]

Therefore, the measure of angles are [tex]m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ[/tex].

use distributive property

0.5 x -10 = -5

0.5 x k = 0.5k

0.5(-10 + k) = 0.5k -5

Answer:

7x4

Step-by-step explanation: =43

3 bars / 0.75 = 4 pieces.

Sally got 1 piece so she had 4-1 = 3 friends.

Answer:

15

Step-by-step explanation:

45 - 27 = 15 B)

Answer:

Option A: -12x-8=10 is the correct answer.

Step-by-step explanation:

Given equation is:

-4 (3x+2) = 10

We will distribute the equation by multiplying the terms inside the brackets with -4.

Therefore,

-4*3x + 2*-4 = 10

-12x +(-8) = 10

-12x - 8 = 10

The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.

Hence,

Option A: -12x-8=10 is the correct answer.

Answer:

im sorry im not sure but i think 9

Step-by-step explanation:

Answer:

y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.

Answer:

Step-by-step explanation:

Let us represent:

Apple pie = a

Cherry pie = c

Peach pie = p

A bakery has three types of pie: apple, cherry, and peach.

There are four times as many apple pies as peach pies.

a = 4p

Answer Apple 40%    Cherry 50%      Peach 10%

Step-by-step explanation:  4x10=40

                                              5x10=50

                                              1x10=10

Therefore The answer Would be Apple 40%    Cherry 50%     Peach 10%

Answer:

B.

Step-by-step explanation:

hope it helps

Answer:

452.45mmm^2

Step-by-step explanation:

Step one:

Given data

outer radius R= 20mm

inner radius r= 16mm

let us find the area of the outer circle

Area= πR^2

Area= 3.142*20^2

Area= 3.142*400

Area= 1256.8 mm^2

let us find the area of the inner circle

Area= πr^2

Area= 3.142*16^2

Area= 3.142*256

Area= 804.35 mm^2

Hence the area of the section is

Area of outer- Area of inner

=1256.8-804.35

=452.45mmm^2

Answer:45

Step-by-step explanation:5(7)+5(2)=35+10=45.This is an example of expansion or distributive expression

Answer: 45 = 45

god bless have a nice day love u

Step-by-step explanation:

5(7+2)= 45

5(7)+5(2)= 45

so its 45

but i put 45 = 45 same thing i think

Step-by-step explanation:

[tex] \frac{3( {s}^{2} )^{4} \times {s}^{ - 5} } {27 {s}^{3} } [/tex]

[tex] \frac{3 {s}^{8} \times {s}^{ - 5} }{27 {s}^{3} } [/tex]

[tex] \frac{3 {s}^{3} }{27 {s}^{3} } [/tex]

[tex] \frac{1}{9} [/tex]

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\[/tex]

[tex]a) 3x^{2}y^{4}*2x^{6}y=3*2*x^{2+6}*y^{4+1}\\\\=6x^{8}y^{5}[/tex]

[tex]b) xz^{3} * 4x^{4}z^{5}=4*x^{1+4}*z^{3+5}\\\\= 4x^{5}z^{8}[/tex]

c)

[tex]4a^{3}b^{2}* 3a^{6}b^{5}=4*3*a^{3+6}*b^{2+5}\\\\=12a^{9}b^{7}[/tex]

[tex]d) 6s^{5}t*s^{4}t^{2}=6*s^{5+4}*t^{1+2}\\\\=6s^{9}t^{3}\\[/tex]

Answer:

A: 6x^8y^5

B: 4x^4z^8

C:12a^9b^7

D:6s^9t^3

Step-by-step explanation:

When you multpily exponents with the same base you just add them

You still multiply the real numbers like you normally would though

so we have

3x²y^4*2x^6y

To do this you multiply 3*2=6

add the exponents on x^2 and x^6=x^8

and add the exponents on y (which is equal to y^1) and y^4=y^5

put these together and get 6x^8y^5

B: I won't explain it twice because it's the same process

I get 4x^5z^8

C: 12a^9b^7

D: 6s^9t^3

Answer:

15 cups of coffee

which represents the total number of cups of coffee purchased from the card

Step-by-step explanation:

A = 45 - 3x

45 - 3x = A

45 - 3x = 0

( I kinda got lost here, but if it is a real problem for you like it was for me, I used Cymath, it was really helpful. )

I hope this helps.

Answer:

$1.65

3

=

5

x

3

$1.65

Step-by-step explanation:

you already have how much it would be if you brought 3oz . Now , all you have to do was put 5oz in that quotient.

Answer:

The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]

Step-by-step explanation:

We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

The midpoint of line segment can be found using formula:

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We have [tex]x_1=14, y_1=-8, x_2=12, y_2=-1[/tex]

Putting values and finding midpoint

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})[/tex]

So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]