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3 years ago

Simplify: 3x[(2x6-5) + (8\4)] -1 ••••••• The \ means divide

1 answer:

3 0

3 × [(2 × 6 - 5) + (8/4)] - 1
= 3 × [(12 - 5) + 2] - 1
= 3 × (7 + 2) - 1
= 3 × 9 - 1
= 27 - 1
= <u>26</u>

<u><em>USE PEMDAS:</em></u>
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Addition
S - Subtraction

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A jewelry store has a 40% off sale for all necklaces what is cost of a necklace that regularly cost $424

Fudgin [204]

Problem would be $424 x .40
and the answer would be <span>169.6 USD</span>

3 0

3 years ago

Read 2 more answers

Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0

Norma-Jean [14]

Answer:

$Length =5$

$Width = 2$

Step-by-step explanation:

Given

$Length =x$

$Width = x -3$

$Area = 10$

$x(x-3) =10$

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

$x(x-3) =10$

Open bracket

$x^2 -3x = 10$

Equate to 0

$x^2 -3x - 10 =0$

Expand

$x^2 + 2x - 5x - 10 = 0$

Factorize

$x(x + 2) - 5(x + 2) = 0$

Factor out x + 2

$(x - 5)(x + 2) = 0$

Solve for x

$x - 5 = 0$ or $x + 2 = 0$

$x = 5$ or $x = -2$

The value of x cannot be negative

So:

$x = 5$

Recall that:

$Length = x$

$Width = x - 3$

So:

$Length =5$

$Width = 2$ ---- i.e. 5 - 3

6 0

2 years ago

00000000505 as an scientific notation.

vichka [17]

<span>The number 123,000,000,000 in scientific notation is written as : 1.23 * 10 to the eleventh power.
Thats an example to help you out ;)

</span>

6 0

3 years ago

Please help me as fast as you can. thanks

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

In triangle DEF, we have:

<u>Given</u>:

<EDF=56

<EFD=84

So, <DEF =180 - 56 - 84 =40 (sum of triangle angles is 180)

____________

DE is a midsegment of triangle ACB

( since CD=DA(given)=>D is midpoint of [CD]

and BE = EA => E midpoint of [BA] )

According to midsegment Theorem,

(DE) // (CB) "//"means parallel

and DE = CB/2 = FB =CF

___________

DEBF is a parm /parallelogram.

<u>Proof</u>: (DE) // (FB) ( (DE) // (CB))

AND DE = FB

Then, <EBF = <EDF = 56

___________

DEFC is parm.

<u>Proof</u>: (DE) // (CF) ((DE) // (CB))

And DE = CF

Therefore, <DCF = <DEF =40

___________

In triangle ACB, we have:

<CAB =180 - <ACB - <ABC =180 - 40 - 56 =84(sum of triangle angles is 180)

$HOPE \: THIS \: HELPS.. GOOD \: LUCK!$

7 0

3 years ago

Over the last three evenings, Donna received a total of 129 phone calls at the call center. The third evening, she received 3 ti

lakkis [162]

Answer:

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

Step-by-step explanation:

Let

number of calls received in first evening be "x"

number of calls received in 2nd evening be "y"

number of calls received in 3rd evening be "z"

Total, in 3 evenings, we have 129 phone calls, so we can write:

x + y + z = 129

3rd evening, 3 times as first evening. We can write:

z = 3x

2nd evening, 9 MORE THAN FIRST. So we can write:

y = 9 + x

Now we replace 2nd and 3rd equation in 1st equation to get:

x + y + z = 129

x + 9 + x + 3x = 129

Now, first, we solve for x:

$x + 9 + x + 3x = 129\\5x+9=129\\5x=120\\x=24$

Solving for y:

y = 9 + x

y = 9 + 24

y = 33

Solving for z:

z = 3x

z = 3(24)

z = 72

Thus,

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

5 0

3 years ago