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Pavel [41]
3 years ago
9

What is the volume of this rectangular prism?(HURRY)

Mathematics
2 answers:
GalinKa [24]3 years ago
4 0

Answer:295.2 cm^3

Step-by-step explanation:

Length=L=15cm

Width=w=4.1cm

Height=h=4.8cm

volume of rectangular prism=L x w x h

Volume=15x4.1x4.8

Volume=295.2 cm^3

Sonbull [250]3 years ago
3 0

Answer:

295.2

Step-by-step explanation:

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Solve the system of equations using substitution or elimination. Show all work for credit.
Tomtit [17]
Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:
y =  \frac{ -  \frac{1}{2} x + 2}{3}  \\ y =  - x + 9

Since both expressions are equal to y, you have to equal both expressions like this:
\frac{  - \frac{ 1}{2}x + 2 }{3}  =  - x + 9
Now you can solve the equation:
-  \frac{1}{2} x + 2 = 3( - x + 9) \\   - \frac{ 1}{2}x  + 2 =  - 3x + 27 \\  \\  -  \frac{1}{2} x + 3x = 27 - 2 \\   \frac{5}{2} x = 25 \\ x =  \frac{(25)(2)}{5}  \\ x = 10
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result

y =  - (10) + 9 \\ y =  - 1
So, the answer is x=10 and y=-1
4 0
3 years ago
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

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2x  + 1 = 73

2x =  72
x = 36  


the 2 integers are 36 and 37

Its  b
8 0
3 years ago
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