The sum of two numbers is 20. When the second number is subtracted from the first number, the difference is 4. Find the two numbers. What are the two numbers?​

Answer: 36

Step-by-step explanation: multiply 2 6 and 3

Answer:

The SSS theorem

Step-by-step explanation:

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since AB and CD were shown to be congruent in the image, and AC and CA are congruent because they're shared. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know ∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

Answer:

See explanations below

Step-by-step explanation:

Let the amount of nickel be x

Let the amount of pennies be y

Let the amount of quarters be z

If the the total value of the coins is 3.88, then;

x+y+z = 3.88 .... 1

If Anita has 4 more nickels than pennies, then;

x = y + 4 ... 2

If she has 2 more than 4 times the number of quarters than pennies, then;

y = 2 + 4z

4z = y-2

z = (y-2)/4 ...3

Substitute 2 and 3 into 1

y+4+y+(y-2)/4 = 3.88

4y+16+4y + y-2 = 15.52

9y + 14 = 15.52

9y = 15.52 - 14

9y = 1.52

y = 1.52/9

y = 0.17

Since x = y + 4

x = 0.17+4

x  = 4.17

z = y-2/4

z = 0.17-2/4

z = -1.83/4

z = - 0.46

Answer:

all have domain of real numbers

Step-by-step explanation:

Answer:

254.47

Step-by-step explanation:

1/4[tex]\pi[/tex]d^2

Answer:

f(−18)=−8

khan academy

Answer:

C= 93⁰, B= 64⁰, D= 23⁰

Step-by-step explanation:

180= (4x + 1) + (3x - 5) + x⁰

180= 4x+1 +3x-5 +x

180= 8x - 4

184= 8x

184/8= x

23=x

therefore

C= (4(23) +1)

C= 93

B= (3(23)-5)

B= 64

D= 23

93⁰+64⁰+23⁰=180⁰

Answer: 71 children ate hotdogs at the picnic.

Step-by-step explanation:

Given: About 32% of the 104 children who ate a school picnic ate hamburgers.

The number of children ate hamburger = 32% of (104 children)

= 0.32 x 104

= 33.28 ≈ 33

Thus, the number of children ate hamburger = 33

Number of children ate hotdogs = 104-33 = 71

Hence, 71 children ate hotdogs at the picnic.

Answer:

The code for that is 439.8

Answer:

(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox

Since both the yard and the sandbox has a rectangular shape, then;

Area of a rectangle = length x width

So that,

Area of the yard = length x width

                            = (6x+7) x 8x

                            = (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]

Area of the sandbox = length x width

                                  = (x+6) x 5x

                                  = (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]

Thus,

Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)

                                = 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x

                                = (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

Answer:

b on edg

Step-by-step explanation:

Answer:

the length of PQ is 8.9 m

Step-by-step explanation:

The computation of the length of PQ in meters is shown below:

Here we applied the Pythagoras theorem

c² = a² + b²  

 = 4² + 8²

 = 16 + 64

= 80

Now square root to the both sides

c = √80

=  8.94427191

= 8.9 m

Hence, the length of PQ is 8.9 m

Answer:

Step-by-step explanation:

let the numbers be 7x,y,y,y.

7x+3y=36

3y=36-7x

[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]

numbers are 7×3,5,5,5

or 21,5,5,5

21×5×5×5=2625

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

Answer: 5 hours  

Step-by-step explanation:

Carl paid $58 dollars in total and this included the fixed dollar fee and the variable amount of $9.

To find the number of hours, first deduct the fixed component:

= 58 - 13

= $45

$45 was spent as a result of hourly fee. The number of hours is therefore:

= Total hourly cost/ Cost per hour

= 45 / 9

= 5 hours  

Answer:

Step-by-step explanation:

3

Answer:40%

Step-by-step explanation:

Given

The zoo featured 6 whales exhibits

There are 15 exhibits in total

Percentage of Zoo's exhibits featuring whales

[tex]\Rightarrow \dfrac{6}{15}\times 100=40\%[/tex]

Answer:

5/13 pal, the first one,,,,

Answer: 1.44pi

Step-by-step explanation:

Answer:

c. [tex]\sqrt{13}[/tex]

Step-by-step explanation:

the 13 will have an ongoing decimal

Answer:

The irrational number is C

Step-by-step explanation:

C can't be written as a rational number because it cannot be written as a fraction (n/d)

Answer:

Choice number 3

Step-by-step explanation:

Because look at the length of 8 on one side and notice the other side is a little longer

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

THE ANSWER IS 200 , 30, Y=50+0.30X, Y=200+ 0.50X

The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

EXPLANATION

The equation given can be express as

y = 0.25x + 50

y = 0.30x + 40

Since, both equations are functions

Equate the two functions together

0.25x + 50 = 0.30x + 40

Collect the like terms

0.25x - 0.30x = 40 - 50

x(0.25 - 0.30) =-10

x(-0.5) = -10

-0.5x = -10

Divide both sides by -0.5

-0.5x / -0.5 = -10/-0.5

x = 10/0.5

x = 20

When collecting the like terms, we isolate values with the same variables from values with a different variables.

If a positive sign crosses an equality sign it automatically becomes a negative sign and if a negative sign crosses an equality operator it automatically becomes a positive sign.

Hence, The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

To learn more on equation click:

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complete question:

Y=0.25x +50=0.30x+ 40 how would I get x=20?

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Answer: