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timurjin [86]
3 years ago
13

Identify the terms, like terms,coefficients and constants4x + 4y + 4z + 4 ​

Mathematics
1 answer:
alukav5142 [94]3 years ago
7 0
Ok so,

Simplifying
4x + 4y + 4z + 4 = 0

Reorder the terms:
4 + 4x + 4y + 4z = 0

Solving
4 + 4x + 4y + 4z = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + 4x + 4y + -4 + 4z = 0 + -4

Reorder the terms:
4 + -4 + 4x + 4y + 4z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4x + 4y + 4z = 0 + -4
4x + 4y + 4z = 0 + -4

Combine like terms: 0 + -4 = -4
4x + 4y + 4z = -4

Add '-4y' to each side of the equation.
4x + 4y + -4y + 4z = -4 + -4y

Combine like terms: 4y + -4y = 0
4x + 0 + 4z = -4 + -4y
4x + 4z = -4 + -4y

Add '-4z' to each side of the equation.
4x + 4z + -4z = -4 + -4y + -4z

Combine like terms: 4z + -4z = 0
4x + 0 = -4 + -4y + -4z
4x = -4 + -4y + -4z

Divide each side by '4'.
x = -1 + -1y + -1z

Simplifying
x = -1 + -1y + -1z
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How many cubes with edge lengths of 1/4 in. will it take to fill the prism?
Ulleksa [173]

Answer:

1560

Step-by-step explanation:

First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10

Next, 3/(1/4) = 3(4) = 12

Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13

This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.

Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8

A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64

(195/8)/(1/64) = (195/8)(64) = 1560 cubes.

3 0
3 years ago
Find the measurement of sides
mestny [16]

Answer:

(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°

Step-by-step explanation:

assuming side a/c is side BC/AB since it's opposite of angle A/C

(a) SOH CAH<em>(cos = </em><em>adjacent side/hypotenuse</em><em>)</em> TOA

=> cos (25°) = BC/AC or a/b

=> cos (25°) = a/25

=> a = cos (25°) × 25

=> a ≈ 22.7

(b) SOH<em>(sin = </em><em>opposite side/hypotenuse</em><em>)</em> CAH TOA

=> sin (25°) = AB/AC or c/b

=> sin (25°) = c/25

=> c = sin (25°) × 25

=> c ≈ 10.6

(c) 180° - 25° - 90°(the right angle) = 65°

7 0
3 years ago
I need the answer in under 34 min
MissTica

Answer:

I. 1 cup is $4.50

2 cups is $9.00

3 cups is $13.50

ll. 6 cups is $27.00

Step-by-step explanation:

Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00

then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.

therefore 6 cups is 6•18/4 which is $27.00.

hence 5 cups is 5•18/4 which is $22.50.

4 0
3 years ago
Write 7,062.01 in expanded form
spayn [35]
7000+60+2+.01=7062.01
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3 years ago
Owen creates this model to determine the product of two decimals. Which
pickupchik [31]

Answer:

3.7×1.2=3+0.7+0.6+0.14=4.44

Step-by-step explanation:

I added all the choices together I picked the one that had the same answer. Good luck!

4 0
3 years ago
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