All categories

3 years ago

Solve the system by substitution. Check your solution. a-1.2b=-3 0.2b+0.6a=12

2 answers:

7 0

A - 1.2b = - 3 ⇒ eq. 1
0.2b + 0.6a = 12 ⇒ eq. 2

a - 1.2b = - 3
a = 1.2b - 3 ⇒ eq. 3

Substitute eq. 3 to eq. 2
0.2b + 0.6(1.2b - 3) = 12
0.2b + .72b - 1.8 = 12
Combine like terms
0.92b = 12 + 1.8
0.92b = 13.8 ⇒ divide both sides by 0.92 to get the value of b
b = 15

Substitute the value of b to eq. 3
a = 1.2b - 3
a = 1.2(15) - 3
a = 15

to check: substitute the values of a and b to:
eq. 1
a - 1.2b = - 3
15 - (1.2)(15) = -3
15 - 18 = - 3
- 3 = -3 ⇒ correct!

eq. 2
0.2b + 0.6a = 12
(0.2)(15) + (0.6)(15) = 12
3 + 9 = 12
12 = 12 ⇒ correct!

ahrayia [7]3 years ago

5 0

Answer:

the answer is A on edgenuity

Step-by-step explanation:

(15,15)

You might be interested in

-9x-12=35-x

masya89 [10]

= -9x-12=35-x

Put like terms together:

= -9x + x = 35 + 12

= -8x = 47

= x = -47/8

= x = -5.875

In short, Your Answer would be: -5.875

Hope this helps!

6 0

2 years ago

Betty and some of her friends want to rent the neighborhood pool for a party. They are planning to split the total cost between

a_sh-v [17]

Answer:

i have attached the graph below!

Step-by-step explanation:

Have a nice day! Hope I helped! Please mark brainliest!

3 0

3 years ago

Vhat is the equation of the line with a slope of 2 through (-4, 6) in point-slope form?

Harlamova29_29 [7]

Answer:

y=2x+14

Step-by-step explanation:

y-y=m(x-x1)

y-6=2(x-(-4))

y-6=2x+8

+6 +6

y=2x+14

3 0

3 years ago

Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and edge finish. The results of 1

liubo4ka [24]

Answer:

a) P (A)= 88/102= 0.8627

(b) P (B)= 89/102= 0.8725

c) P (A`) = 14/102 = 0.1372

(d) P (A∩B) = 84/102 =0.8235

(e) P(AUB)= 93/102 = 0.9117

(f)P (A`UB) = 98/102= 0.96078

Step-by-step explanation:

edge

finish excellent good Total

(A )surface finish excellent 84 4 88

good ( B) ⇵ 5 9 14

Total 89 13 102

a) Upper P left-parenthesis Upper A right-parenthesis equals

P (A)= 88/102= 0.8627

All the elements of set A = 84+4= 88

(b) Upper P left-parenthesis Upper B right-parenthesis equals

P (B)= 89/102= 0.8725

All the elements of set B = 84+5= 89

c) Upper P left-parenthesis Upper A prime right-parenthesis equal

P (A`) = 14/102 = 0.1372

All the elements of Universal set U which are not elements of set A = 102- 88= 14

(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals

P (A∩B) = 84/102 =0.8235

Only those elements of set A and set B which are common

(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals

P(AUB)= 93/102 = 0.9117

Totalling elements of set A and B= 88+5= 93

(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals

P (A`UB) = 98/102= 0.96078

All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98

6 0

3 years ago

Imani is selling T-shirts for a student council fund-raiser. She spent $100 on

Kruka [31]

Answer:

Step-by-step explanation:

the domain is gonna be ur x values and ur range is gonna be ur r(x) values

the domain has to do with the number of t-shirts.....and it can range from 0 to 25.......so it would be written as : [0,25]...include the brackets....not parenthesis...or all whole numbers from 0 to 25

the range has to do with the money made....and it can range from : -100 to 200....so it would be written as : [ -100,200] ..use brackets and not parenthesis.

3 0

3 years ago