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2 years ago

Solve the following.... 4(5-2x)+3=7

Mathematics

2 answers:

patriot [66]2 years ago

5 0

4(5-2x)+3=7
20-8x+3=7
23-8x=7
8x=23-7
8x=16
x=2

Dmitry_Shevchenko [17]2 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

1) If there is a number right next to a bracket, then it means that it should be multiplied. --> 4(5 -2x) = 25 - 10x

2) (20 - 8x) + 3 = 23 - 8x

3) 23 - 8x = 7

4) 16 = 8x

5) We divide both sides with 8 to leave x. --> 2 = x

6) x = 2

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3 years ago

24π=2π(r^2+r) solve for r

Novay_Z [31]

Answer:

r=3

Step-by-step explanation:

24π=2π(r^2+r)

Divide each side by 2 pi

24π/2π =2π/2π(r^2+r)

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Subtract 12 from each side

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3 years ago

In a trapezoid the lengths of bases are 11 and 18. The lengths of legs are 3 and 7. The extensions of the legs meet at some poin

FrozenT [24]

Answer: The length of segments between this point and the vertices of greater base are $7\frac{5}{7}$ and 18.

Step-by-step explanation:

Let ABCD is the trapezoid, ( shown in below diagram)

In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7

Let P is the point where The extended legs meet,

So, according to the question, we have to find out : AP and BP

In Δ APB and Δ DPC,

∠ DPC ≅ ∠APB ( reflexive)

∠ PDC ≅ ∠ PAB ( By alternative interior angle theorem)

And, ∠ PCD ≅ ∠ PBA ( By alternative interior angle theorem)

Therefore, By AAA similarity postulate,

$\triangle APB\sim \triangle D PC$

Let, DP =x

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⇒ 33 +11x = 18x

⇒ x = 33/7= $4\frac{5}{7}$

Thus, PD= $4\frac{5}{7}$

But, AP= PD + DA

AP= $4\frac{5}{7}+3 =7\frac{5}{7}$

Now, let PC =y,

⇒ $\frac{7+y}{18} = \frac{y}{11}$

⇒ 77 + 11y = 18y

⇒ y = 77/7 = 11

Thus, PC= 11

But, PB= PC + CB

PB= 11+7 = 18

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3 years ago

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Flura [38]

Answer:

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3 years ago

On Monday billy spent 4 1/4 hours studying.On Tuesday he spent another 3 5/9 hours studying what is the combined time he spent s

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Answer:

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Step-by-step explanation:

Given:

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Now, the total combined time spent on study is equal to the sum of the times spent on Monday and Tuesday.

So, we need to add both the times to get the combined time spent on studying.

The combined study time is given as:

Total time spent = Time spent on Monday + Time spent on Tuesday

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Divide 281 by 36. The quotient is the whole number part, the remainder is the numerator part and the denominator remains the same.

So, on dividing, we get 7 as quotient and 29 as remainder. So, converting to mixed fractions, we get:

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