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expeople1 [14]
3 years ago
13

5/6 (x - 1) = 4 what Is x

Mathematics
2 answers:
irga5000 [103]3 years ago
8 0
5x - 5 / 4 = 4
5x - 5 = 24
5x = 29
x = 29 / 5 = 5.8
vfiekz [6]3 years ago
6 0
5/6(x-1)=4
(x-1)=(4*6)/5
x-1=24/5
x=24/5  +  1
least common multiple=5
x=(24+1*5)/5
x=29/5

Answer: x=29/5

To check:

5/6(x-1)=5/6(29/5  -1)=5/6[(29-5)/5]=5/6(24/5)=(5*24)/(6*5)=120/30=4

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4 0
3 years ago
What is the sum of all of the perfect squares between
Nonamiya [84]

Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where n = number of terms

a = first term of the sequence

d = common difference

S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]

   = 4(34 + 7)

   = 164

Sum of 15 + S_{8} = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 41-179

= -138

Therefore, answer is (-138).

7 0
2 years ago
Write an expression so that when you divide ¼ by a number the quotient will be greater than 1/4.
SVETLANKA909090 [29]
Hello There!

An example of this would be:
\frac{6}{1/4}
6 = \frac{6}{1}
\frac{6}{1} *  \frac{4}{1}
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Hope This Helps You!
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8 0
3 years ago
Help idk how to do this ASAP please
Sergio039 [100]

Answer:

The area of ∆DEF = 4.5in²

Step-by-step explanation:

From the above diagram,

∆BAC ~∆DEF

It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides

This means for the above question, that

We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²

The small triangle has a side of 3in

Finding the scale factor k = ratio of the sides of both Triangles

k = 4/3

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k² = 16/9

Hence,

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8in²/Area of ∆DEF = 16/9

We cross Multiply

8 in² × 9 = Area of ∆DEF × 16

Divide both sides by 16

Area of ∆DEF = 72/16

= 4.5in²

Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²

8 0
2 years ago
A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee.
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