MATHEMATICS MIDDLE SCHOOL

What is the value of x?1. 6( -3 - x) - 2x = 14
x=

2. 2/7x + 6 + 17x = 18
x=

Answers

Answer 1
Answer: 1) expand the brackets 
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
simplify
-18 - 8x = 14
then add 18 to both sides to get the x's on there own
-8x = 32
then divide by -8
x = 32/-8
x = -4

2) multiply everything by 7x
2 + (6 x 7x) + ( 17x × 7x) = 18 x 7x
2 + 42x + 119x^2 = 126x
put everything on one side
119x^2 - 84x + 2 = 0
then use quadratic equation to solve

x = 0.024671849 or 0.6812105039

 

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Which equation is identity? A.) 11-(2v+3)=-2v-8
B.) 5w+8-=6w-2 (w-4)
C.) 7m-2=8m+4-m
D.) 8y+9=8y-3

Answers

The answer to the question is b.

What is -7/9 in a decimal

Answers

Answer:

-0.78

Step-by-step explanation:

you would round the number up after you divide.

Answer: -0.77777777777778 or -0.77

Step-by-step explanation: you would divide the numerator by the denominator; you would divide 7 by 9 and get 0.77 then just add the negative sign in front of the zero.

Whats the value of this expression ?
30+[(6÷3)+(3+4)]

Answers

To do this do the work in the brackets first. There are two parentheses.  First solve 6/3.  This gives you two.  Now you add it to 7 (3+4) to get 9.  Now you want to add 30 by 9.  The answer is 39.
Solve the ones inside the parenthesis.
6÷3 = 2
4+3=7  add 7 and 2 which is 9
now since everything inside the brackets and parenthesis is solved add the 30 to 9
 30+9 = 39

Harold worked at a men's clothing store which marks up it's retail clothing by 27%. The store purchases pants for $74, suit jackets for $325, and dress shirts for $48. How much will Harold charge a customer for two pairs of pants, three dress shirts, and a suit jacket?

Answers

Let first find the purchase price (cost) of 2 pair of pants, 3 dress shirts, and 1 suit jacket.

2 pants = 74*2=148

3 dress shirts = 48*3=144

1 suit jacket = 325*1=325

Summing all these, we have 148+144+325=617

Harold marks up 27% of his cost. So we add 27% of 617 to 617.

617+(0.27)(617)=783.59

Hence, Harold charges $783.59 to his customer who will buy 2 pants, 3 shirts, and 1 suit jacket.

ANSWER: $783.59

You backpacked for a distance of 15.75 miles today. If you backpacked at an average speed of 1.26 miles per hour, how many hours did you spend backpacking today

Answers

It would be 12.5. you would divide 15.75 by 1.26
Hi there! First, speed=Distance/time, and the time=distance/speed. The time spent for back packing was 15.75/1.26=12.5 hours. Therefore, the answer is 12.5 hours.

Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person, and the third buyer bought 4/5 of what was left and the last 10 lb. How many pounds of potatoes farmer Bill sold?3 is what percent of 1/4

Answers

Answer: 120 lb of potatoes.

Step-by-step explanation:

Let the pounds of potatoes sold by farmer Bill      = X lb

Fractional part sold to the first person                    = 1/4

Therefore 1/4 of X                                                      = 1/4  x X

                                                                                    = X/4 lb of potatoes.

No of potatoes left for sale                                        = X - X/4

                                                                                    = ( 4x - x )/4

                                                                                    = 3x/4 lb.

Fractional part sold to the second person out of the reminder = 4/9

Therefore 4/9 of 3x/4                                                 = 4/9 x 3x/4

                                                                                    = x/3 lb of potatoes.

Amount of potatoes left for sale                               = 3x/4 - x/3

Resolve into fraction , we have                                 = (9x - 4x)/12, because 12 is the LCM.

                                                                                    = 5x/12

Third buyer bought 4/5 of the left over                    = 4/5 of 5x/12

                                                                                   =   x/3 lb of potatoes.

Amount  of potatoes left                                           =   5x/12 - x/3

Resolve in to fraction again  taking 12 as the LCM =   ( 5x - 4x )/12

                                                                                   = x/12 lb of potatoes .

Therefore, the left over was 10 lb .

To determine the value of x now which correspond to the amount of potatoes sold by Farmer Bill, we shall the equate the left to  x/12 = 10                                                                                                                

we now cross multiply to get the value of x                             x = 120 lb.

therefore the pound of potatoes sold by farmer Bill  = 120 lb.                                        

                                                                                 

Answer:

120 potatoes

Step-by-step explanation:
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