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Sauron [17]
3 years ago
5

154= -4 ( 8+ 6r) +24r

Mathematics
1 answer:
timurjin [86]3 years ago
5 0
If these have a solution, they are all solved the same way.
.. Eliminate parentheses using the distributive property.
.. Collect terms.
.. If variables are on both sides of the equation, identify the variable term with the smallest or most-negative coefficient. Add the opposite of that term to the equation. (If the same variable term exists on both sides of the equation, it doesn't matter which one you pick.)
.. If a constant is on the same side of the equation as the remaining variable term, add the opposite of that constant. (If no variable terms remain, you can determine if the equation is true or false at this point. True: every value of the variable is a solution; False: no value of the variable is a solution.)
.. Divide by the coefficient of the variable, if there is a variable term.

Whenever you add, subtract, multiply, or divide one side of the equation by a number, you must do the same to the other side. (Keep the equal sign true.)

1) 154 = -4(8 +6r) +24r
.. 154 = -32 -24r +24r
.. 154 = -32 . . . . . . . . . . . . false, no solution

2) -28 = -7(3x +4) +21x
.. -28 = -21x -28 +21x
.. -28 = -28 . . . . . . . . . . . . true, for x ∈ ℝ . . . . any real number x

3) -(-4x +7) = -2 +4x
.. 4x -7 = -2 +4x
.. -7 = -2 . . . . . . . . . . . . . . false, no solution

4) no solution
5) no solution
6) true for any real number k.
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Nora bought 100 Shares of a technology stock and 200 shares of a mutual fund for $3500. Her sister, Erin, bought 300 shares of t
viktelen [127]

Answer:Suppose the cost stock is x and the cost of fund is y.

Total cost of Nora's portfolio:

100x+200y=3800.....i

Total cost of Erin's portfolio

300x+50y=5350...ii

solving the simultaneous equation by elimination method we proceed as follows:

multiplying eqn  by 3 and subtracting ii we get:

550y=6050

thus

y=6050/550

y=11

next, multiply ii by 4 and subtracting i we get:

1100x=17600

x=16

thus the cost of Technology stock was $16 and the cost of mutual fund was $11

Step-by-step explanation:

4 0
3 years ago
Insert 5 arithmetic means between -1 and 11
Anni [7]

Answer:

Step-by-step explanation:

-1 1 3 5 7 9 11

That's the answer. If you need a method or a formula, that's a little harder.

L = a + (n - 1)*d

a = -1

L = 11

n = 7

or n is the hard part. If you have 5 means, then you have 6 spaces. So n must be 7 in all

11 = -1 + (7 - 1)*d                   add 1 to both sides. Combine the brackets

11+1 = -1+1+ 6*d

12 = 6d                               divide by 6

12/6 = d

2 = d

What this tells you is that each term has 2 added to it to get to the next one.

   

7 0
3 years ago
Marcus has a total of 10 nickels and dimes in his pocket. he has a total of 70 cents. how many dimes does he have in his pocket?
Vesnalui [34]
10 coins in nickels & dimes = $0.70

1 nickel = $0.05
1 dime = $0.10

4 dimes = $0.40
6 nickels = $0.30

4 dimes + 6 nickels = 10 coins
$0.40 + $0.30 = $0.70



The answer is: He has a total of 4 dimes in his pocket.
4 0
4 years ago
J+3/8 if j Equals 3/8
hodyreva [135]

Answer:

3

5

÷

j

=

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8

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Step-by-step explanation:Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

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6 0
3 years ago
11p-4=6p+1 explain steps please ASAP!!!
KatRina [158]
Attached below is the problem that I worked out. And I checked my answer simply by plugging it in

8 0
3 years ago
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