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KIM [24]
2 years ago
7

NEED HELP WITH THIS

Mathematics
1 answer:
Kaylis [27]2 years ago
5 0

Answer:

Step-by-step explanation:

think of this as a system of equations where the colors just represent a variable like x or y

I'll just arbitrarily set colors to some variable letter so we have

purple = x

green =y

blue =z

red = a

yellow = b

so we can now rewrite the 4 known equations of the system :)

Eq. 1)  x+y = 13

Eq. 2) 2y+2z=18

Eq. 3) 2x+3y=31

Eq. 4) z + 4a = 12

Eq. 5) a * y = b

so solve the 1st eq for y   =>  y =13-x    then plug that into the 3rd eq and slove for x =>  2x + 3(13-x) =31

2x + 39 -3x = 31

2x-3x = 31 - 39

-x = -8

<u>x=8</u>

plug 8 into Eq. 1 for x and solve for y

8+y = 13

<u>y=5</u>

plug y into Eq 1 and solve for z

2(5) +2z = 18

10 +2z = 18

2z = 8

<u>z = 4</u>

plug z into E1 4 and solve for a

4 + 4a = 12

4a = 8

<u>a = 2</u>

plug a and y into Eq 5 and solve b

2 * 5 = b

<u>10=b</u>

go to the drawing and plug in each of the color values that we put as variable letters above and get an A+ on your homework..  :)

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Homework ree
umka21 [38]

Answer:

325 miles and 77 dollars

Step-by-step explanation:

First, create equations. Let x equal the miles driven. The first plan expression  is 38 + 0.12x and the second plan expression is 51 + 0.08x. Setting these equal and solve for x: 38 + 0.12x = 51 + 0.08x -> 0.04x = 13 -> x = 325 miles.

The cost is found by substituting it into any of the expressions: 51 + 0.08(325) = 77 or 38 + 0.12(325) = 77

6 0
3 years ago
Evaluate the expression when a = 4 and b = 6. 8a – 4b + 5 A. 15 B. 7 C. 19 D. 13
yaroslaw [1]
4 and b = 6 is D.) 13
4 0
3 years ago
You have a standard deck of cards. You choose a diamond or an ace.<br><br> Mutually exclusive or Not
defon

Answer:

mutually exclusive

Step-by-step explanation:

7 0
3 years ago
A regular octagon has an apothem of 16.9 cm and a side length of 14 cm. Find the area to the nearest tenth.
jolli1 [7]

Answer:

946.4 cm

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 8 x 0.5 x 14 x 16.9 = 946.4

hope this helps ! :)

8 0
1 year ago
Given that BDFHJ ~ QSUWY, what is YQ?
Artyom0805 [142]
YQ/SQ = JB/DB
YQ/72 = 60/45
YQ = 72*(60/45) = 96

Selection D is appropriate.
5 0
3 years ago
Read 2 more answers
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