Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

16. Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?
17. Joseph has 30 coins and they are all either dimes or nickels. The total $2.15. How many dimes does he have?
18. A golfer completed 18 holes with a total of 79 strokes. On each hole he met par, which was either four or five each time. How many holes were played in four strokes?
19. There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?
20. There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?

Answer:

b

Step-by-step explanation:

edge 2020

Answer:

200

Step-by-step explanation:

Length = 2w

2w + 2l = 60

substitute l out with 2w

2w + 2(2w) = 60

2w + 4w = 60

w = 10

l = 20

Area = w • l

        = 10 • 20

        = 200

Answer:

Ha, you said "Brainless" instead of *Brainliest*

Lol, here i am, Miss Brainless has arrived!

Step-by-step explanation:

Sry, dude, i just need points...

Answer:

The answer to this equation is 4 7/10, or 4.7.

Step-by-step explanation:

Hopefully this helps you!

Answer:

C this is a double blind study.

Step-by-step explanation:

Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.

Answer:

observational study

Step-by-step explanation:
the experimenters are not blind to their own tests.

Answer:

C

Step-by-step explanation:

Answer:

the formula is base x height / 2

Step-by-step explanation:

try and use this formula to help you:)

Answer: it should be 25!!

Step-by-step explanation:

Answer:

6-pint container of window clearer for $3.84 is a better buy

Step-by-step explanation:

141-fuid-ounce container of window clearer for  $7.05

7.05 : 141 = 0.05

check your work: 0.05 x 141 = 7.05

so for the first offer you will be paying $0.05 per ounce of window clearer.

6-pint container of window clearer for $3.84

1 pint = 16 ounces

6 pints = 96 ounces

3.84 : 96 = 0.04

check your work: 0.04 x 96 = 3.84

for the second offer you will be paying $0.04 per ounce of window clearer. 6-pint container of window clearer for $3.84 is a better buy because you will be paying less for each ounce of window clearer.

Answer:

the 6-pint container would be cheaper...hope this helps :)

Step-by-step explanation:

Answer:

y = 3/5x + 3

Step-by-step explanation:

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

pick 2 points (0,3) and (-5,0)

(0-3)/(-5-0) = -3/-5 = 3/5

y = 3/5x + b

3 = 3/5(0) + b, b = 3

equation y = 3/5x + 3

Answer: It is 10

Step-by-step explanation:

Answer:

x z y

Step-by-step explanation:

i took the assignment

Answer:

X , Z , Y

Step-by-step explanation:

Answer:

i think 70 words per minute

Step-by-step explanation:

Answer:

-1/6, 2/-7, 30/11, 13/-19 and -15/23 are negative rationals

Answer:

p = -5

Step-by-step explanation:

-1/2* 6 = -3p

-1/2*16 = -8

-3p-8 = 7

7+8 = 15

-3p=15

15/-3 = -5

Step-by-step explanation:

p

2

+6p−16

=p

2

+8p−2p−16

=p(p+8)−2(p+8)

=(p+8)(p−2)

Answer:

The numbers are 8 and 5

Step-by-step explanation:

The square of 8 is 64 and the square of 5 is 25. 25 plus 64 equals 89.

Step-by-step explanation:

In Mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the first prime number, 2. The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime.This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime.

The area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Archaeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a parallelogram.

From the table:

The vertex of the P is (9, 2)

The vertex of the Q is (-8, 2)

The vertex of the R is (-7, 7)

The vertex of the S is unknown

From the distance formula we can find the distance between points P and Q:

The distance formula can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm PQ = \sqrt{(-8-(-9))^2+(2-2)^2}[/tex]

PQ = 17 units

[tex]\rm QR = \sqrt{(-7-(-8))^2+(7-2)^2}[/tex]

QR = 5.09 ≈ 5 units

The area of the wreck site = 17x5

The area of the wreck site = 85 square m

Thus, the area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ2

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

Answer:

y = 6x - 2

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (10 - (-8))/(2 - (-1)) = 6

sub (2, 10):

10 = 6(2) + c

c = -2

therefore, the equation of the line is y = 6x - 2

This is a question on coordinate geometry/graphs. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

The 1st, the 4th, and the 5th ones are the answer :)

Step-by-step explanation:

Answer:

33.6% of X = 26800

X = 26800 / 33.6%  

   = 26800 / 0.336

  = 79762

Note the answer is rounded

Step-by-step explanation:

33.6% of X = 26800

X = 26800 / 33.6%  

   = 26800 / 0.336

  = 79762

Note the answer is rounded

Answer:

4/33

Step-by-step explanation:

Multiply 3x4 across which equals 12

Multiply 11x9 across which equals 99

Simplify to equal 4/33

Hope this helps!! :)

Answer:

Exact Form:

433

Decimal Form:

0.¯¯12¯¯

Step-by-step explanation:

Answer:

2nd option; [tex]c=9-a+b[/tex]

Step-by-step explanation:

Hope this helps

Answer:

k

Step-by-step explanation:

k

Step-by-step explanation:

The factor of the polynomial is (x-2)

We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor

We therefore equate

x³-4x²+3x+2=(x-2)(ax²+bx+c)+r

x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r

We group terms on the RHS

x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r

By equating the terms on both sides,

ax³=x³,a=1

Next,

b-2a=-4

b-2(1)=-4

b-2=-4

b=-4+2

b=-2

Next,

c-2b=3

c-2(-2)=3

c+4=3

c=-1

Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1

We now find the zeros of x²-2x-1

which are 1+√2 and 1-√2

The values of x are therefore 2,1+√2, and 1-√2

Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)

Answer:

2, 1 +/- sqrt2

or 2, 2.414, -0.414 (correct to the nearest thousandth).

Step-by-step explanation:

Let x = 2: then

f(2) = 8 - 16 + 6 + 2 = 0

So x = 2 is one  of the zeros.

So one factor of the function is x-2.

If we divide  the function by  (x - 2) we get:

x-2)X^3-4x^2+3x+2(x^2-2x-1

     x^3- 2x^2

            -2x^2+3x

            -2x^2+4x

                       -x+2

                       -x+2

                        .......

So x^2-2x-1= 0

x = [-(-2 +/- sqrt(4 - 4*-1)] / 2

x = (2 +/- sqrt8) / 2

= 1 +/-sqrt8/2

= 1 +/- sqrt2