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PIT_PIT [208]
2 years ago
11

After you add both sides by 9. How can you solve for 5z in this equation 5z-3=12

Mathematics
1 answer:
lutik1710 [3]2 years ago
3 0

Answer:

OPTION A: Divide both the sides by 5

Step-by-step explanation:

We are given:  5z - 3 = 12

When we add 9 to both sides we get:

5z - 3 + 9 = 12 + 9

⇒ 5z + 6 = 21

⇒ 5z = 21 - 6 = 15

⇒ 5z = 15

To find the value of z we have to divide both the sides by 5.

i.e., $ \frac{5z}{5} = \frac{15}{5} $

⇒ z = 3.

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alexdok [17]
We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight. 

First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:

1.6 / 2 = x / (2 +3)

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6 0
3 years ago
What is a statement of equality?
Tju [1.3M]

Answer:

the equality between A and B is written and pronounced A equals to B

7 0
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40 PIONTS!!! HELP PLZ ANSWER THE QUESTIONS (IF YOU DONT ASWER THE QUETIONS THEN I WILL REPORT YOU)
allochka39001 [22]

Answer:

quadrant 1.

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A:(9,3)

B:(7,5)

C:(5,2)

Hope this helped you.

4 0
2 years ago
A. Complete the table if y varies
serious [3.7K]

Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

y = k × x

30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

<em>y = 30 </em>

<em>y = 30 k = 6</em>

<em>y = 30 k = 6x = 5</em>

<em>y = 30 k = 6x = 5Equation: y = 6x</em>

y = k × x

y = 10 × 8

y = 80

So,

<em>y = 80 </em>

<em>y = 80 k = 10</em>

<em>y = 80 k = 10x = 8</em>

<em>y = 80 k = 10x = 8Equation: y = 10x</em>

y = 3x

18 = 3x

x = 18/3

x = 6

So,

<em>y = 18</em>

<em>y = 18k = 3</em>

<em>y = 18k = 3x = 6</em>

<em>y = 18k = 3x = 6Equation: y = 3x</em>

y = 2x²

72 = 2x²

x² = 72/2

x² = 36

x = √36

x = 6

So,

<em>y = 72</em>

<em>y = 72k = 2</em>

<em>y = 72k = 2x = 6</em>

<em>y = 72k = 2x = 6Equation: y = 2x²</em>

Table 2:

y = k/x

5 = k/6

5 × 6 = k

30 = k

So,

<em>y = 5</em>

<em>y = 5k = 30</em>

<em>y = 5k = 30x = 6</em>

<em>y = 5k = 30x = 6Equation: y = 30/x</em>

y = k/x

y = 36/4

y = 9

So,

<em>y = 9</em>

<em>y = 9k = 36</em>

<em>y = 9k = 36x = 4</em>

<em>y = 9k = 36x = 4Equation: y = 36/x</em>

y = 60/x

20 = 60/x

20x = 60

x = 60/20

x = 3

So,

<em>y = 20</em>

<em>y = 20k = 60</em>

<em>y = 20k = 60x = 3</em>

<em>y = 20k = 60x = 3Equation: y = 60/x</em>

y = 24/x

y = 24/12

y = 2

So,

<em>y = 2</em>

<em>y = 2k = 24</em>

<em>y = 2k = 24x = 12</em>

<em>y = 2k = 24x = 12Equation: y = 24/x</em>

Read more:

brainly.com/question/472621

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Which situation can be represented by the<br> inequality 4x − 25 &lt; 125?
GaryK [48]
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Now divide both sides by 4.
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