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vodomira [7]
2 years ago
6

Expand: 4(5x+5) - 3(2x + 4)

Mathematics
2 answers:
Maurinko [17]2 years ago
5 0

4 x 5x = 20x

4 x 5. = 20

-3 x 2x = - 6x

-3 x 4 = - 12

Line them up, collect like terms & simplify

20x + 20 - 6x - 12

20x - 6x = 14x

20 - 12 = 8

Thus, answer is 14x + 8

Hope this helps!

aliina [53]2 years ago
3 0

Answer:

14x + 8

Explanation:

⇒ 4(5x+5) - 3(2x + 4)

distribute inside parenthesis

⇒ 4(5x) + 4(5) - 3(2x) - 3(4)

multiply the variables

⇒ 20x + 20 - 6x - 12

collect like terms

⇒ 20x - 6x + 20 - 12

subtract like term

⇒ 14x + 8

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What is y=4/5x+2 written in standard form
shepuryov [24]

Answer:

4x-5y=-10

Step-by-step explanation:

we know that

The equation of the line in standard form is in the form

Ax + By = C

where

A is a positive integer, and B, and C are integers

In this problem we have

y=\frac{4}{5}x+2 ----> equation of the line in slope intercept form

Convert to standard form

Multiply by 5 both sides

5y=4x+10

4x-5y=-10

5 0
3 years ago
Read 2 more answers
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
HACTEHA [7]

Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.

<u>Solution:</u>

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,

\Rightarrow0.5\text{ lbs }- 1.5\%

\Rightarrow x+0.5\text{ lbs }- 100\%

On writing the proportion,

\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.

7 0
3 years ago
1-sin^2x/sinx-cscx <br><br>How do I solve this problem? I keep getting the wrong answer.
Annette [7]

Answer:

-sinx

Step-by-step explanation:

a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1

with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x

so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx

it is also important to know that cscx is the same thing as 1/sinx

knowing this information, cscx can be replaced with 1/sinx

(cos^2x)/(sinx - 1/sinx)

now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....

cos^2x

---------------------

(sin^2x - 1)/sinx

notice how in the denominator it has sin^2x-1 which is equal to -cos^2x

so now it becomes:

cos^2x

--------------

-cos^2x/sinx

because we have a fraction over a fraction, we need to flip it

cos^2x          sinx

---------- * ----------------

1                  -  cos^2x

because the cos^2x can cancel out, it becomes 1

now the answer is -sinx

3 0
3 years ago
- 4x + 3y +z, if x=-5, y=2 and z=0
Gala2k [10]
  • Answer:

<em>26</em>

  • Step-by-step explanation:

<em>- 4x + 3y + z =</em>

<em>= -4(-5) + 3(2) + 0</em>

<em>= 20 + 6 + 0</em>

<em>= 26</em>

<em />

4 0
3 years ago
Read 2 more answers
Increase £101 by 16% give ur answer rounded to 2 dp​
Dvinal [7]

Answer:

117.16

Step-by-step explanation:

Multiply 101 by .16 and then you add it to 101.

8 0
2 years ago
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