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saul85 [17]
3 years ago
15

is the equation a true statement when x equals -3 in other words is -3 a solution to the equation 6 x + 5 = 5x +8 + 2x explained

? explain
Mathematics
2 answers:
serg [7]3 years ago
5 0

Answer: Yes

Step-by-step explanation: bc 6(-3)+5=5(-3)+8+2(-3)

Becomes -18+5=-15+8+-6 which equals -13 on both sides meaning -3 is a solution

makkiz [27]3 years ago
3 0

6x+5=5x+8+2x

6x+5=(5x+2x)+(8)(Combine Like Terms)

6x+5=7x+8

6x+5=7x+8

Step 2: Subtract 7x from both sides.

6x+5−7x=7x+8−7x

−x+5=8

Step 3: Subtract 5 from both sides.

−x+5−5=8−5

−x=3

Step 4: Divide both sides by -1.

−x

−1

=

3

−1

x=−3

Answer:

x=−3

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3. Caleb has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $2.50 each
Snowcat [4.5K]

Answer:

linear equation in Standard form that can be used to determine how many of each prize Caleb can buy is 1.25x+ 2.50y = 25

Step-by-step explanation:

Given:

Total cost spent on prizes for games = $25

Cost of one lip balm = $1.25

Cost of one mini notebook  = $2.50

A) linear equation in STANDARD FORM that can be used to determine how many of each prize she can buy.

Let the number of lip balms be x and the number of mini note books be y. Then

1.25x+ 2.50y = 25

B. Graph the equation using x- and y- intercepts.

Now by trial and error method

1.25(0)+ 2.50(10) = 25

1.25(2)+ 2.50(9) = 25

1.25(4)+ 2.50(8) = 25

1.25(6)+ 2.50(7) = 25

1.25(8)+ 2.50(6) = 25

1.25(10)+ 2.50(5) = 25

1.25(12)+ 2.50(4) = 25

1.25(14)+ 2.50(3) = 25

1.25(16)+ 2.50(2) = 25

1.25(18)+ 2.50(1) = 25

1.25(20)+ 2.50(0) = 25

Thus Caleb can buy 0,2,4,6,8,9,10,12,14,1,6,18,20 lip balms and

0,1,2,3,4,5,6,7,8,9,10 mini note books respectively

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3 0
4 years ago
PLZZZZ HELP The Lakeview city council is considering two different plans to help reduce the amount of pollution in the city. Pla
sdas [7]
1. The two equations follow the slope-intercept form which y=mx + b. They have the same y-intercept which is equal to 900.

2. Suppose x= 10
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    Plan Foxtrot: y = -17x+900 = -17(10)+900=730
    
    Between the 2 plans, the lower value is 730. Plan Foxtrot is better for reduction of pollution.

3. The city council should choose Plan Foxtrot because the reduction of pollution is much greater. Their goal would be reached faster if they go with faster reduction of pollution.
5 0
3 years ago
The sum of three numbers is 98 . The first number is 7 less than the second. The third number is 3 times the second. What are th
loris [4]

Answer:

14, 21, and 63

Step-by-step explanation:

we can set the three unknown numbers as x, y, and z

so

x + y + z =98

now we are given that the first (x)  is seven less than the second (y)

x = y - 7

the third number (z) is three times the second (y)

z = 3y

since we have an equation for z and x in terms of y, we can plug it into the first equation and solve for y.

(y-7) + y + (3y) =98

y - 7 + y + 3y =98

y + y + 3y =105

5y = 105

y=21

now that we know y, we can plug its value into either the second or the third equation to find x or z (I chose to find z first)

z = 3y

z = 3(21)

z = 63

now we can plug in y to find x

x = y - 7

x = 21 - 7

x = 14

so the three numbers should be 14, 21, and 63

7 0
3 years ago
Find the area of the parallel gram 6 and 1/5 times 5
Dafna11 [192]

Answer:

if the height is 5 then the answer is 1.2 but its possible i am wrong.

6 0
3 years ago
Miguel has a total of 27 dimes and nickels. The total value of the coins is $1.80. How many dimes and nickels does he have?
soldi70 [24.7K]

Answer:

There are 9 dimes and 18 nickels.

Step-by-step explanation:

Let d = be the number of dimes

 

     n = be the number of nickels

 

 

    d + n = 27...eq.1

 

   0.10d + 0.05n = 1.80...eq.2

 

Solve the system of equations

 

   d + n = 27

 

10d + 5n = 180  ( multiply eq.2 by 100 )

 

 -5d - 5n = -135

 

      5d = 45

 

       

        d = 9 , there are 9 dimes so,0.90

 

        n = 27 - 9 = 18,   there are 18 nickels so, 0.90

 

To check:   9 dimes + 18 nickels = 27 coins

 

                0.90 + 0.90 = $ 1.80 total value of the coins

5 0
3 years ago
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