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Iteru [2.4K]
3 years ago
7

What is the solution of 6(3-2x)=54?

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
6 0
6(3-2x)=54
18-12x=54
-12x=36
x=-3
Hopes this helps
notka56 [123]3 years ago
3 0
Hello!

You solve this algebraically

6(3 - 2x) = 54

distribute the 6

18 - 12x = 54

Subtract 18 from both sides

-12x = 36

Divide both sides by -12

x = -3

The answer is -3

Hope this helps!
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An ice-cream store sold 70 sundaes. The ratio of
elixir [45]

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

3 0
3 years ago
Which expression could be substituted for y in the second equation to find the value of x?
EastWind [94]

value of x is x=-\frac{29}{4} and value of y is y=-\frac{9}{2}

Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

The given equations are:

2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)

For putting value of y in second equation, we will find from equation 1

From equation 1:

2x-y=-10\\-y=-10-2x\\y=10+2x

Putting value of y i.e y=10+2x in equation (2) to find value of x

2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}

So, now finding value of y by putting value of x= -29/4 in eq(1)

2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}

So, value of x is x=-\frac{29}{4} and value of y is y=-\frac{9}{2}

Keywords: System of equations

Learn more about System of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/7490805
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Mhanifa can you please help with this??? Look at the picture attached. Thanks!
EastWind [94]

Answer:

<u>Properties of a rhombus used to solve the following </u>

  • <em>Opposite angles are congruent</em>
  • <em>Diagonals are angle bisectors</em>
  • <em>Diagonals are perpendicular to each other</em>
  • <em>Adjacent angles are supplementary</em>

(30)

  • ∠2 = ∠3 = ∠5 = 27°
  • ∠1 = ∠4 = 180° - (2*27°) = 126°

(31)

  • ∠4 = 70°
  • ∠1 = ∠2 = ∠3 = ∠5 = 1/2(180° - 70°) = 1/2(110°) = 55°

(32)

  • ∠1 = ∠2 = ∠5 = 90° - 26° = 64°
  • ∠3 = 26°
  • ∠4 = 90°

5 0
3 years ago
50 POINTS PLEASE HELP! In order to rewrite log9 (6/5) as log9 (6) - log9 (5) , which of the following is used?
Anna11 [10]
B. Is the correct answer.
3 0
3 years ago
Read 2 more answers
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that
EleoNora [17]

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.\bar3

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}

Substituting the known values gives;

\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k =  \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.\bar3.

5 0
3 years ago
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