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3 years ago

4 1/3 · 3/5 express your answer in simplest form. A. 2 3/5 B. 2 C. 4 1/5 D. 1 1/15

Mathematics

2 answers:

a_sh-v [17]3 years ago

7 0

Oh the answer is a I looked it up this time

Vesna [10]3 years ago

3 0

Find common denominators:

4 1/3 = 4 5/15 = 65/15

3/5 = 9/15

65/15 x 9/15 = 2.6 = 2 6/10 = 2 3/5

Final Answer:

A. 2 3/5

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4. Solve the following system of equations for x.

Ber [7]

We are given the system of equations -:

$\large{ \begin{cases} 2x + 3y = - 14 \\ y = 6x + 22 \end{cases}}$

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

$\large{2x + 3(6x + 22) = - 14}$

Expand 3 in the expression so we can combine like terms and isolate x-variable.

$\large{2x + 18x + 66 = - 14}$

Then combine like terms.

$\large{20x + 66 = - 14}$

Get rid of 66 from the left side by subtracting both sides by itself.

$\large{20x + 66 - 66 = - 14 - 66} \\ \large{20x = - 80}$

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

$\large{ \frac{20x}{20} = \frac{ - 80}{20} }$

Simplify to the simplest form.

$\large{x = - 4}$

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0

3 years ago

Mrs. Pahulick went to Super Buy to purchase the iPhone 12, which is typically $999.99. For one day only, it is on sale at a 15%

lana [24]

Answer:

$900.10

Step-by-step explanation:

15 percent of 999.99 = $849.15

(999 x 15)/100 = $149.85

849.15 with 6 percent sales tax is 900.10

4 0

3 years ago

HELP‼️‼️‼️‼️‼️‼️ 1. If 8x + 4y = 44, what is the value of 6x + 3y?

Gnom [1K]

Answer:

33.

Step-by-step explanation:

8x + 4y = 44

4(2x + y) = 44

2x + y = 44/4 = 11.

6x + 3y

= 3(2x + y)

= 3 * 11

= 33.

8 0

1 year ago

Please help, I’ll mark your answer as brainliest!

statuscvo [17]

Answer:

$(x-230)^2+(y-220)^2=6100$

Step-by-step explanation:

The equation for a circle is $(x-h)^2+(y-k)^2=r^2$ , where $(h,k)$ is the vertex of the circle and $r$ is the radius. Immediately, since the center of the circle is given, we know what $h$ and $k$ are. $h$ is 230 and $k$ is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the distance formula, which is really just the Pythagorean Theorem rearranged. The formula states that $d=\sqrt{x^2+y^2}$ , where $x$ is the change in the x-coordinates of the two points and $y$ is the change in the y-coordinates of the two points. Plug-in $x$ for 60 and $y$ for 50 to get $d=\sqrt{50^2+60^2}$ . Solve for $d$ , arriving at $\sqrt{6100}$ . Therefore, the radius of the circle is $\sqrt{6100}$ .