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3 years ago

Expand 3(x+ 2.3) Expand 1/3(9x-12)

Mathematics

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

3x+6.9 and 3x-4

Step-by-step explanation:

since 3 x x is 3x and the sign in the bracket is addition you place it there then place 3 x 2.3

being 6.9.

1/3 x 9is 9/3 and 3 can multiply both sides to get 3/1 or 3 then bring the minus and 1/3 x 12 is 12/3 3 can multiply both sides to get 4/1 or 4

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A sweater is on sale for 20% off. A jacket is on sale for 15% off. The sale price for each item is $34.00. Which item cost more

SashulF [63]

The sweater cost more originally. It costs $2.50 more from jacket.

Step-by-step explanation:

Given,

Discount rate of sweater = 20%

Sale price of sweater = (100-20)% = 80%

Discount rate of jacket = 15%

Sale price of jacket = (100-15)% = 85%

Sale price of each item = $34.00

Let,

x be the original price of sweater.

y be the original price of jacket.

80% of x = 34

$\frac{80}{100}x=34\\0.80x=34$

Dividing both sides by 0.80

$\frac{0.80x}{0.80}=\frac{34}{0.80}\\x=42.50$

The original price of sweater is $42.50

85% of y = 34

$\frac{85}{100}y=34\\0.85y=34$

Dividing both sides by 0.85

$\frac{0.85y}{0.85}=\frac{34}{0.85}\\y=40$

The original cost of jacket is $40

Difference = 42.50 - 40 = $2.50

The sweater cost more originally. It costs $2.50 more from jacket.

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

4 0

3 years ago

Which expression is equivalent to n2 + 26n + 88 for all values of n?

Lelechka [254]

Answer:

Option B is correct.

The expression which is equivalent to $n^2+26n+88$ is; $(n+22)(n+4)$

Explanation:

Given the equation: $n^2+26n+88$ for all values of n.

The quadratic equation in this form; $ax^2+bx+c =0$

First find two numbers that multiply to give ac and add to give b.

From the given equation;

a =1 , b = 26 and c =88

then,

the two number that multiply to give ac =88 is, 22 or 4

and they add up to give b=26 (i.e 22+4)

Now, rewrite the middle term i.e 26n with 22n and 4n , we have

$n^2+22n+4n+88=0$

Now, factor the first two terms and last two terms,

$n(n+22)+4(n+22)$

we see that $(n+22)$ is common to both terms so, we have;

$(n+22)(n+4)$

Therefore, the expression $(n+22)(n+4)$ is equivalent to $n^2+26n+88$

Check:

(n+4)(n+22) = $n\cdot n+ 22n+4n+88$ = $n^2+26n+88$ [ True]

5 0

3 years ago

Read 2 more answers

carries family leaves at 7:15. they drive for 30 minutes and yhen stop for dinner what time is it when they stop for dinner?

laiz [17]

Answer:

I think it is 7:45

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

if you’re good with set theory in math 30 please help with questions 31 and 32!! real answers only !!

GREYUIT [131]

Answer: 31) d 32) c

<u>Step-by-step explanation:</u>

31)

A = {1, 3, 5, 15}

B = {2, 3, 5, 7}

A ∪ B = {1, 2, 3, 5, 7, 15}

C = {2, 4, 6, 8}

(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}

<em>2 is the only number in both sets</em>

32)

The pattern is: reflection, add symbol, ..., reflection, add symbol.

The last image shown is: add symbol

So the next image will be: reflection (flipped to the left)

7 0

3 years ago

Write an equation of the graph:

katrin [286]

1. To translate to the left, add to x.
The equation is: y = |x + 2|

2. To translate down, add to y.
The equation is: y + 2 = |x| OR y = |x| - 2 (subtract 2 from each side)

Hope this helps!

5 0

3 years ago