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3 years ago

Which value of x makes the following equation true? 6(x - 1) = -2x + 50

Mathematics

1 answer:

lakkis [162]3 years ago

7 0

Answer:

x=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x−1)=−2x+50

(6)(x)+(6)(−1)=−2x+50(Distribute)

6x+−6=−2x+50

6x−6=−2x+50

Step 2: Add 2x to both sides.

6x−6+2x=−2x+50+2x

8x−6=50

Step 3: Add 6 to both sides.

8x−6+6=50+6

8x=56

Step 4: Divide both sides by 8.

8x /8 = 56 /8

x=7

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Solve each of the following equations a.3x+4=21 b.2x-13=3x+18 c.6/15=3/x

Readme [11.4K]

A) 3x+4=21
3x=21-4
3x=17
x=17÷3
x= 5.7

7 0

2 years ago

Read 2 more answers

parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF

Doss [256]

Solution-

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)

2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)

3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)

If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

$\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}$

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

$\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}$

$\Rightarrow \frac{8}{5} =\frac{10-x}{x}$

$\Rightarrow x=3.85$

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm

5 0

3 years ago

Which of the following expressions are equivalent?

suter [353]

1 and 2 are equivalent

7 0

2 years ago

Kelly deposited $4,205 in an account for 3.5 years. She earned $662.29 in interest. What interest rate did the bank pay her?

mylen [45]

Answer:

r = 4.5%

Step-by-step explanation:

Formula:

I = Prt

r = I/(Pt)

Given:

I = 662.29

P = 4205

t = 3.5

Work:

r = I/(Pt)

r = 662.29/(4205 * 3.5)

r = 662.29/14717.5

r = 0.045

r = 4.5%

5 0

2 years ago

Felix says if 2/3 pan of lasagna had been left over from dinner and the padis family ate 1/2 of that for lunch, the answer would

olga_2 [115]

Answer:

He is right he can eat 2/6 f the whole pan of lasagna

Step-by-step explanation:

We had 2/3 pan of lasagna and pads family ate 1/2 of it, then

padis family ate (2/3) /2 or 2/6

2/6 is half of the total pan of lasagna, padis family ate half of 2/3 wich is 2/6 and left 2/6 for Felix

6 0

3 years ago