Mathematics, 12.12.2019 21:31 AM28

What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46?

Answers: 1

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Answers

Answer from: jamesgraham577

Refine

Refine :

therefore:

2(z-4) = 120

Divide both sides by 2 :

$\frac{2(z-4)}{2} = \frac{120}{2}$

4z-4 = 60

add 4 to both sides:

4z-4+4 = 60+4

Divide both sides by 4 :

$\frac{4z}{4} = \frac{64}{4}$

z = 16

hope this helps!

Answer from: pricillakalaniuvalu

Solutions

1) Simplify 4z−3−1 to 4z−4

2(4z−4)=166−46

2) Simplify 166−46 to 120

2(4z−4)=120

3) Divide the equation from both sides by 2

4z−4=120 ÷ 2

4) Simplify 120 ÷ 2 to 60

4z−4=60

5) Add 4 to both sides

4z=60+4

6) Simplify 60+4 to 64

4z=64

7) Divide both sides by 4z=64 ÷ 4

8) Simplify 64 ÷ 4 to 16

z=16

Answer from: Quest

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

Answer from: Quest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

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