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brilliants [131]
3 years ago
12

What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?

Mathematics
2 answers:
sergeinik [125]3 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

Nata [24]3 years ago
3 0

Answer:

x=4

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

Distribute

1.5x + 6 -3 = 4.5x - 9

Combine like terms

1.5x +3 = 4.5x -9

Subtract 1.5x from each side

1.5x -1.5x +3 = 4.5x -1.5x-9

3 = 3x-9

Add 9 to each side

3+9 = 3x-9+9

12 =3x

Divide each side by 3

12/3 = 3x/3

4=x

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1. Divide using long division: (5x +13x² – 8x - 2) / (x+3)
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Step-by-step explanation:

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Read 2 more answers
Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?
Alika [10]

Answer:

✑ \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} :

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = \sf{ \frac{30}{40} =  \frac{3}{4}   = 3:4} and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : \sf{ \frac{a}{b}} is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ \underline{ \underline{ \sf{Now \: let's \: solve : }}}

☪ \underline{ \sf{Solution}} :

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , \text{5x +2x = 21}

Solve for x :

⇝ \sf{7x = 21}

⇝ \sf{ \frac{7x}{7}  =  \frac{21}{7} }

⇝ \sf{x = 3}

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

6 0
2 years ago
make mathematical expression and simplify. The sum of 4 and 5 is subtracted form one-third of the difference of 40 and 4.​
Ne4ueva [31]

Answer:

X= -3

Step-by-step explanation:

(4+5)-1/3(40-4)=X

X=9- 1/3(36)

X=9-12

5 0
2 years ago
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