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Inessa05 [86]
3 years ago
15

Using distributive property and showing each step solve the following: (3 steps)

Mathematics
1 answer:
agasfer [191]3 years ago
5 0
3 * ( - 1 1/2 ) = 
= 3 * ( - 1 - 1/2 ) = 
= 3 * ( - 1 ) + 3 * ( - 1/2 ) = 
= - 3 - 3/2 = - 4 1/2
Answer:  - 4 1/2
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The sum of two and three times the difference of a number and five is equal to four times the difference a number and one.
Andru [333]

Answer:

x=-9

Step-by-step explanation:

We translate the phrase into an equation:

2+3(x-5)=4(x-1)\\

Then we simplify:

2+3(x-5)=4(x-1)\\2+3x-15=4x-4\\-13+3x=4x-4\\-9=x

4 0
3 years ago
An underground conical tank has a top diameter of 4m and a depth of 6m. Compute the capacity of the tank in cubic meter.
dlinn [17]

Step-by-step explanation:

1/3πr^2h

{(1/3)×(22/7)×2^2×6}m^3

[(1/3)×(22/7)×4×6)}m^3

{528/21}m^3

=25.1 m^3

NOTE:r=diameter divided by 2

7 0
3 years ago
A tank containing 35 gallons of water is leaking at a rat 1/4 gallon per minute. Write and expression to determine the number of
MrRissso [65]

Answer:

The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent  rate of leakage.

Number of gallons of water left = 35 gallons – m minutes  1 gallons per minute Hence, the required expression is 35 – m

5 0
3 years ago
Work out the circumference of this circle.
tigry1 [53]
C=pid
Since d=9m and pi=3.142, C=3.142*9m=28.278
Rounded to 1 decimal point =28.3
3 0
3 years ago
Casey orders 3 pizzas and 2 orders of breadsticks for a total of 30.00. Rachel orders 2 pizzas and 3 orders of breadsticks for 2
barxatty [35]

Answer:

8

Step-by-step explanation:

x=pizza

y= breadsticks

3x+2y=30

2x+3y=25

first we myltiply the top equation with 3 and then w emultiply the lower equation with -2 so it is

9x+6y=90

-4x-6y= -50

now we can add them together and the y contracts

5x=40

now we divide it by 5

x=8

So pizza costs 8

3 0
3 years ago
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