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ddd [48]
3 years ago
12

Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0
X=4 and y=6
For this, you should use simultaneous equations
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Simplify and find the value of the expression if x=2 and y = 13xy (4x- 5y) +3xsquare y
maria [59]

Answer:

13 + 4(2) - 5(13) + 3

<em>multiply the numbers</em>

13 + 8 - 65 + 3

<em>calculate the sum or difference </em>

= -41

Step-by-step explanation:

3 0
3 years ago
What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the poin
TiliK225 [7]

Answer:

\large\boxed{y-intercept=20}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{3}{5}x+10\to m_1=\dfrac{3}{5}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{3}{5}}=-\dfrac{5}{3}.\\\\\text{The equation of the searched line:}\ y=-\dfrac{5}{3}x+b.\\\\\text{The line passes through }(15,\ -5).

\text{Put thecoordinates of the point to the equation.}\ x=15,\ y=-5:\\\\-5=-\dfrac{5}{3}(15)+b\\\\-5=(-5)(5)+b\\\\-5=-25+b\qquad\text{add 25 to both sides}\\\\b=20\\\\\boxed{y=-\dfrac{5}{3}x+20}

8 0
3 years ago
A cube-shaped hole is cut in a rectangular prism as shown below.
IgorC [24]
Surface area of the prism is 2xy+2xz+2yz 
I think, we can cut hole on the face of the prisma 40x30, and size of the whole will be 5X5X5
hole increases surface area. If side of the cube is "a", then a^2 is the area of the one face of the cube.  
when we are doing the hole, we remove 2 faces and add 4 more faces, so 
 2xy+2xz+2yz-2a^2+4a^2=  2xy+2xz+2yz+2a^2
So, 2*5*40+2*5*30+2*40*30+2*5^2=3150 cm^2
 i hope it helps, it is what i can come up with now



6 0
4 years ago
Read 2 more answers
Solve for x: x-9=<br> 0<br> A.x- -2<br> CB. = 2<br> C<br> C. X = 20
mars1129 [50]

Answer:

x = 9

Step-by-step explanation:

Well, let's solve it!

x - 9 = 0

Let's add 9 to both sides to isolate the variable and maintain equality.

We end up with :

x = 9 since -9 and 9 cancel out and 0 + 9 = 9.

5 0
4 years ago
Read 2 more answers
A zookeeper predicted the weight of a new baby elephant to be 227 pounds when it was born. The elephant actually weighed 259 pou
OLga [1]

The percent of error can be found by dividing the difference in weights by the predicted weight.

290 - 258 = 32 pounds

32/258 = 0.124

0.124 = 12.4% approximately was the percent of error

5 0
3 years ago
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