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3 years ago

Brainliest + Points!

Mathematics

1 answer:

andre [41]3 years ago

8 0

Answer:

Step-by-step explanation:

since you are already given the formula just plug in the numbers.

the only tricky part is r=rate must be in decimal form!!!

I=4,000(.035)(2)

I=280 (answer)

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143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2

serious [3.7K]

Answer:

-71

Step-by-step explanation:

let 'n' = a number

2(143 + 2n) = 0n + 2

2(143 + 2n) = 2

143 + 2n = 1

2n = -142

n = -71

5 0

2 years ago

What is the slope of the line whose equation is y−4=5/2(x−2)?

postnew [5]

Answer:

$m=\dfrac{5}{2}$

Step-by-step explanation:

If the equation of the line is

$y=mx+b,$

then m represents the slope of the line and b represents the y-intercept of the line. This equation is called the equation of the line in the slope form.

Rewrite the equation of the line in the slope form

$y-4=\dfrac{5}{2}(x-2)\\ \\y-4=\dfrac{5}{2}x-\dfrac{5}{2}\cdot 2\\ \\y-4=\dfrac{5}{2}x-5\\ \\y=\dfrac{5}{2}x-1$

Thus, the slope of the line is

$m=\dfrac{5}{2}$

7 0

3 years ago

Read 2 more answers

Mathematical Statement Justification

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

1. Given mathematical statement

$4x+3=x+5-2x$

So,

$\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}$

2. Rewrite it as

$4x+3=x-2x+5$

So,

$\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}$

3. Combine like terms $x$ and $-2x:$

$4x+3=-x+5$

So,

$\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}$

4. Add $x$ to both sides:

$4x+3+x=-x+5+x\\ \\5x+3=5$

So,

$\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}$

5. Subtract 3 from both sides:

$5x+3-3=5-3\\ \\5x=2$

So,

$\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}$

6. Divide both sides by 5:

$x=\dfrac{2}{5}$

So,

$\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}$

6 0

3 years ago

Read 2 more answers

Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6

shtirl [24]

If Sandra mixes x L of 65% solution with y L of 90% solution, then the resulting mixture has a total volume of

x + y = 500

litres, and it contains

0.65x + 0.90y = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for y :

y = 500 - x

Substitute this into the second equation and solve for x :

0.65x + 0.90 (500 - x) = 375

0.65x + 450 - 0.90x = 375

75 = 0.25x

x = 300

Solve for y :

y = 500 - 300

y = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

8 0

3 years ago

Calculate the volume of a rectangular prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm. (As before, you

maria [59]

Answer:

85.932 cm³

Step-by-step explanation:

The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):

$V=l*w*h$

The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:

$V=4.4*3.1*6.3\\V=85.932\ cm^3$

The volume of this prism is 85.932 cm³.

4 0

3 years ago