MATHEMATICS HIGH SCHOOL

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Chevy wants to use 222 kilograms of yarn to make a total of 151515 items.Let hhh be the number of hats Chevy makes and sss be the number of scarves he makes.
Which system of equations represents this situation?

Answers

Answer 1

Answer:

Answer:

The following system of equations represents the situation:

0.2h + 0.1s = 2

s + h = 15

Step-by-step explanation:

Hi there!

The total amount of yarn is 2 kg and we know that each hat uses 0.2 kg yarn and each scarf uses 0.1 kg. Then, the amount of yarn used per hat times the number of hats made, plus the amount of yarn used per scarf times the number of scarves made will be 2 kg.

h = number of hats

s = number of scarves

0.2h + 0.1s = 2

We also know that the total quantity of items made is 15, then, the number of hats plus the number of scarves will be 15:

s + h = 15

Then, we obtain the following system of equations:

0.2h + 0.1s = 2

s + h = 15

Only for curiosity, let´s solve the system:

Solve for h in the second equation:

h = 15 - s

Replace h in the first equation:

0.2(15 - s) + 0.1s = 2

3 - 0.2s + 0.1s = 2

-0.1s = -1

s = -1/-0.1

s = 10

Then, h = 5

Answer 2

Answer:

0.2h + 0.1s = 2

h + s = 15

Step-by-step explanation:

answer on khan

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Answers

this function is a Quartic, because its a degree 4

Complete the expansion of this expression by finding the values of the capitalised pronumerals4x (5 + 4y + 3x) + 3y (1 + x) = Ax² + Bx + Cxy + Dy

A=
B=
C=
D=

Answers

Answer:

xdd

Step-by-step explanation:

xddd

If ON=5X-7,LM=4X+4NM=X-7 and OL=3Y-4 find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale. a. x = 11,y = 8/3
b. x = 4,y = 3/8
c. x = 11,y = 3/8
d. x = 4,y = 8/3

Answers

To find the value of x and y we should know the properties of the Parallelogram.

Parallelogram

A parallelogram is a quadrilateral, whose opposite sides are always parallel and equal to each other.

Given to us

ON=5X-7,
LM=4X+4,
NM=X-7,
OL=3Y-4

Solution

For the quadrilateral LMNO to be a parallelogram the opposite sides of the parallelogram must be equal to each other. Therefore,

LM = ON, and
OL = NM.

Equation 1

Substituting the value in equation 1,

$LM = ON\n4x+4 =5x-7\n4x-5x =-7-4\n-x =-11\n x = 11$

Equation 2

Substituting the value in equation 2,

OL = NM

$3y-4=x-7$

Substituting the value of x

$3y-4=(11)-7\n3y-4=11-7\n3y = 11-7+4\n3y = 8\ny=(8)/(3)$

Hence, the value of x and y should be 11 and $(8)/(3)$ for LMNO to be a parallelogram.

Learn more about Parallelogram:

brainly.com/question/1563728

The answer is a.

5x-7 = 4x+4 solve for x

substitute x in (x-7) to get 11-7

3y-4 = 11-7 solve for y

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Answers

X = 5
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x^2=25 find the square root of 25= (5) so X=5

u have to cross multiply. (multiply 4x by x and 50 by 2)

Patty has a bulletin board on her wall with thedimensions shown.
How many photos in the shape of a parallelogram will it
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Answers

Answer:

Step-by-step explanation:

Answer:

36 I did the math

Step-by-step explanation:

Triangle inequality theorem-are the lengths 7, 4, and 2 of a triangle possible?

Answers

You can't make a triangle with those lengths for sides.

The way I look at it is like this:

-- Take 2 sticks ... lengths 4 and 2 ... and connect them together at one end.

-- The farthest they can reach, if they're opened up completely and pointing
in opposite directions, is a distance of 6 .

-- They can't reach the ends of a stick that is 7 long. So you can't make
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Answer:

YES!!!!!

Step-by-step explanation:

BASICS:

Pythagorean Theorem $a^(2) +b^(2) = c^(2)$