MATHEMATICS MIDDLE SCHOOL

Solve each of the following equations. (2 answers)

|7x| =5

Answers

Answer 1

Answer:

Answer:

x = 5/7 and x = -5/7

Step-by-step explanation:

Absolute value equations have two solutions, one positive and one negative

|7x| =5

7x =5 and 7x =-5

Divide each side by 7

7x/7 = 5/7 and 7x/7 = -5/7

x = 5/7 and x = -5/7

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ike tossed a coin several times and recorded the number of heads and tails in the following table: Coin Experiment Side of Coin Number of Tosses Heads 24 Tails 26 What is the experimental probability of getting heads? 0.24 0.26 0.48 0.92

Answers

Answer:

Step-by-step explanation:

The experimental Probability is 24/50 = 0.48

The probability is found by putting the successes in the numerator and the total number of tosses in the denominator.

Pada suatu deret geometri diketahui suku ke-3 = 18 dan suku ke-6 = 486. suku pertama pada deret tersebut adalah...

Answers

a . r^(3-1) = 18
a . r^2 = 18...... (i)

a . r^(6-1) = 486
a . r^5 = 486 ...... (ii)

dengan membuat perbandingan dari kedua persamaan diperoleh:
r^2/r^5 = 18/486
1/r^3 = 1/27
r^3 = 27
r = akar pangkat 3 dari 27
r = 3

dari persamaan a . r^2 = 18...... (i)
a . 3^2 = 18
a . 9 = 18
a = 18/9 = 2

What is 1/4 minus 1/5

Answers

$(1)/(4) - (1)/(5)$

First, you have to find a common denominator
The LCM of 4 and 5 is 20

$(5)/(20)- (4)/(20)$

Subtract the numerators

1/20 is the final answer

$(1)/(4)-(1)/(5)=\ \ \ \ | make\ common\ denominator\ 20\n\n(5)/(20)-(4)/(20)=(5-4)/(20)=(1)/(20)\n\n Solution\ is\ (1)/(20).$

nanci is volunteering at the animal shelter .she wants to spend an equal amount of time playing with each dog.she has 145 minutes to play with all 7 dogs .about how much time can she spend with each dog?

Answers

Since Nanci has 145 minutes of play time with 7 dogs.

You do 145÷7 which gives you 20.7 we can't round to 21 cause that would be over limit. So she has roughly 20 minutes to play with each dog.

Answer:

$20(5)/(7)(minutes)/(dog)$

Step-by-step explanation:

we know that

To find how much time can Nancy spend with each dog, divide the total time by the number of dogs

$(145)/(7)(minutes)/(dogs)= (140)/(7)+(5)/(7)=20(5)/(7)(minutes)/(dog)$

a) six pens and five pencils cost $2.50 while three pens and two pencils cost $1.15 . what will be the cost of a pen and 4 pencils . please help me

Answers

x - pen
y - pencil

$6x+5y=2.5\n 3x+2y=1.15\n\n 6x+5y=2.5\n -6x-4y=-2.3\n --------\n y=\$0.2\n\n 6x+5\cdot0.2=2.5\n 6x+1=2.5\n 6x=1.5\n x=\$0.25\n \nx+4y=0.25+4\cdot0.2=\boxed{\$1.05 }$

Let pen's cost be x and pencil's cost be y.

6x + 5y = 2.50
3x + 2y = 1.15

Thus, 3x = 1.15 - 2y
Therefore, 6x = 2.30 - 4y

Substituting the value of 6x ;

(2.30 - 4y) + 5y = 2.50

or, 2.30 + y = 2.50

=> y = 0.20.

Substituting the value of y ;

6x = 2.30 - 4(0.20)
6x = 2.30 - 0.80 = 1.5
6x = 1.5
=> x = 0.25

Thus, 1 pen costs 0.25 $ and 1 pencil costs 0.20$.

Thus, cost of one pen is 0.25$.
Cost of 4 pencils is 0.80 $

0.25$ + 0.80$ = 1.05$

How many times does six.go into Eight