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guajiro [1.7K]
3 years ago
15

4.2y+0.8=6.2y–(1.1y+0.8)+1.2

Mathematics
2 answers:
Flura [38]3 years ago
7 0

4.2y + 0.8 = 6.2y - (1.1y + 0.8) + 1.2

Multiply/distribute the - into (1.1y + 0.8)

4.2y + 0.8 = 6.2y - 1.1y - 0.8 + 1.2

Combine like terms

4.2y + 0.8 = 5.1y + 0.4

Subtract 4.2y on both sides

0.8 = 0.9y + 0.4

Subtract 0.4 on both sides

0.4 = 0.9y

Divide 0.9 on both sides


\frac{0.4}{0.9} = y

s344n2d4d5 [400]3 years ago
3 0
Y=4/9...(tell me if you need steps)
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A quadrilateral has angles that measure 101°, 133°, and 76°. what is the measure of the fourth angle?
Mars2501 [29]

It would be: 360- (101+133+76)

360-310 = 50 degree

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Which of the following best describes the solution to the equation below?
kozerog [31]
D)One solution. b=5
Distribute 2 times b plus 2 times 3
2b+6
2b+6+2b=26
Combine like terms 4b+6=26
Subtract 6 from both sides
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Divide both sides by 4
b=5

Check by substituting 5 for b
2 (5+3)+2(5)=26
2(8) + 2(5)=26
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4 0
3 years ago
There are 35 female performers in a dance recital. The ratio of men to women in the recital is 2 : 7 How many men are in the rec
Vsevolod [243]

There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital

But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.

3 0
3 years ago
Which expression is equivalent to (8^2)^-4
xz_007 [3.2K]

Answer:

C: \frac{1}{8*8*8*8*8*8*8*8}

Step-by-step explanation:

a^{-n} = \frac{1}{a^n}

Since a = 8^2 :

(8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}

Since n = 4 :

(8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}

6 0
3 years ago
The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv
deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by x_{1} and and mixer by x_{2}.

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm=  $7

Each mixer produced nets the firm=  $6

Using this all data linear system of equation will be:

x_{1} + 2x_{2} =24  ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\

profit function:

z= 7x_{1} +6x_{2} --- (3)

from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\

Coordinate points obtained from (1) are (0,12) and (24,0)

from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z =  87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0
3 years ago
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