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2 years ago

10

What is the solution to this equation? −1/4(x+1 2/3)=−2 1/5

1 answer:

pogonyaev2 years ago

7 0

Answer:

x = 107/15

Step-by-step explanation:

Our first step should be to turn all of the mixed fractions into improper fractions. So, 1 2/3 becomes 5/3, and -2 1/5 becomes -11/5. We now get -1/4(x + 5/3) = -11/5. Now we should divide both sides by -1/4, and we get x + 5/3 = -11/5 x -4 = 44/5. So x + 5/3 = 44/5. We want the denominator to be equal on both sides so a common denominator could be 15. 5(5)/3(5) = 25/15. 44(3)/5(3) = 132/15. So now we have x + 25/15 = 132/15. We subtract both sides by 25/15 and we get x = 107/15.

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Which ones are linear & which are exponential ?

AveGali [126]

Answer:

11 - exponential, 12-linear, 13 exponential, 14 exponential

Step-by-step explanation:

5 0

3 years ago

A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Mark randomly chooses a piece of fruit, eats it,

bogdanovich [222]

Answer:

3.17% probability of selecting first a green apple and then a nectarine.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

P(a green apple then a nectarine)

This is the probability of selecting first a green apple and then a nectarine.

Initially, there are 8+11+5+12 = 36 fruits, of which 8 are green apples. So 8/36 probability of choosing a green apple.

Now, there are 35 fruits, of which five are nectarines. So 5/35 probability of choosing a nectarine.

Then

$p = \frac{8}{36}\times\frac{5}{35} = 0.0317$

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3 0

3 years ago

Translate the algebraic expression below into a written expression.

miskamm [114]

Answer:

b is the anwer of youre question

4 0

3 years ago

Read 2 more answers

What is the formula for the following arithmetic sequence?

vlabodo [156]

$a_{n}$ = 12 + (- 6)(n - 1 )

This is an arithmetic sequence with n th term

$a_{n}$ = $a_{1}$ + (n - 1)d

here d = - 6 - 0 = 0 - 6 = 6 - 12 = -6 and $a_{1}$ = 12, hence

$a_{n}$ = 12 + (- 6)(n - 1)

use this formula to find the 30 th term

$a_{30}$ = 12 + (- 6 × 29) = 12 - 174 = - 162

4 0

4 years ago

There is a rectangular terrain with dimensions "x" and "y". If it is known that its area of is 22m ^ 2 and that x ^ 2 + y ^ 2

Margaret [11]

9514 1404 393

Answer:

24 m

Step-by-step explanation:

The area formula tells us ...

22 = xy . . . . . square meters

Adding twice this to the quadratic constraint gives ...

(x^2 +y^2) +2(xy) = (100) +2(22)

(x +y)^2 = 144

x +y = √144 = 12

The perimeter is double this amount, so is ...

P = 2(x +y) = 2(12) = 24 . . . . meters

5 0

3 years ago