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Elina [12.6K]
3 years ago
6

Pls help................

Mathematics
1 answer:
koban [17]3 years ago
5 0
Hi i got 9cm
i replaced each block with the variable x
i set the first line of blocks equal to the second line of blocks
then solved for x
x=9

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(2x + 7y = -24<br>18x+y=12 solve by substitution​
const2013 [10]

Answer:

x = .87, or when approximated to a fraction, 27/31

y = -3.67, or when approximated to a fraction, -1287/350

Step-by-step explanation:

Lets start by rewriting out our equations

2x + 7y = -24

18x + y = 12

Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:

2x + 7y = -24

y = -18x + 12

Next, lets plus the second equation into the first equation in regards to y.

2x + 7(-18x + 12) = -24

Now, lets solve!

2x -126x + 84 = -24

Then, combine your terms!

-124x = -108

Divide by (-124)!

x = -108/-124

x = 27/31

Now that we know x, lets plug this back in to the first equation to find y!

2(27/31) + 7y = -24

1.74 + 7y = -24

7y = -25.74

y = -3.67, or when approximated to a fraction, -1287/350

4 0
4 years ago
Two trains leave stations 330 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour
BARSIC [14]

Answer:

<em>Both trains will meet at 2.2 hours (2 hours and 12 minutes).</em>

Step-by-step explanation:

<u>Relative Speed</u>

If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.

Both trains travel toward each other, which means their speeds are of opposite signs.

Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.

To calculate the time they take to meet, we apply the formula:

\displaystyle t=\frac{x}{vr}

\displaystyle t=\frac{330}{150}=2.2\ hours

Both trains will meet at 2.2 hours (2 hours and 12 minutes).

6 0
3 years ago
Trigonometry
Allisa [31]

Hey there!

To start, you must use the distance formula which is \sqrt{(x1-x2)^{2}+(y1-y2)^{2}  }.

x1 and x2 are the x coordinates of the points (it does not matter which one you assign to be x1 and x2) and y1 and y2 are the y coordinates (also does not matter which one you assign to be y1 and y2).

Now, set up your formula and simplify:

\sqrt{(x1-x2)^{2}+(y1-y2)^{2}  }

\sqrt{(-12-13)^{2}+(6-8)^{2}  }

= \sqrt{629} ≈ 25.0799

4 0
4 years ago
Read 2 more answers
Consider the exponential function: f(x) = 3(Five-fourths) Superscript x
gizmo_the_mogwai [7]

Answer: Initial Value: 3 Base: 5/4 Domain: (-infinity, infinity) Range: (0, infinity)  

Step-by-step explanation:

Function: y = 3(\frac{5}{4} )^{x}

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Ctext%7BSolve%20for%20x%3A%7D%5C%5C4x%20%2B%2054%20%3D%2055%5C%5C%5C%5C%5Ctext%7BThank%20you
Crazy boy [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

x = \frac{1}{4}

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

\boxed{\text{Solving the equation for x...}}\\\\4x + 54 = 55\\----------\\\rightarrow 4x + 54 - 54 = 55 - 54\\\\\rightarrow 4x = 1\\\\\rightarrow \frac{4x=1}{4}\\\\\rightarrow \boxed{x=\frac{1}{4}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

6 0
3 years ago
Read 2 more answers
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