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nevsk [136]
3 years ago
10

Which expressions are equivalent to z ⋅ 3 1/3

Mathematics
1 answer:
ira [324]3 years ago
7 0

Answer:

Options 2), 4 , and 5 are CORRECT

Step-by-step explanation:

Notice that z * 3  1/3 = z * (3 + 1/3) = z * (9/3 + 1/3) = z * 10/3 = 10/3 z

1)  The first option is not good'

2) 6 z - 2/3 z - 3 z + z = 4 z - 2/3 z = 12/3 z - 2/3 z = 10/3  z  So this option is CORRECT

3) z * 4 - 2/3 is not good since 2/3 is not multiplied by z

4) z ( 4 - 2/3) = z (12/3 - 2/3) = z * 10/3  so this one is CORRECT

5)  z (1 / 3 + 3) = z ( 1/3 + 9/3 ) = z (10/3)  So this one is also CORRECT

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Solve by Substitution<br> Show Steps<br> −2x + 3y + 5z = −21<br> −4z = 20<br> 6x − 3y = 0
Anarel [89]

−2x + 3y + 5z = −21

−4z = 20

6x − 3y = 0

do -4z=20 first

divide both sides by -4 to get z by itself

-4z/-4=20/-4

z=-5

Use z=-5 into −2x + 3y + 5z = −21

-2x+3y+5(-5)=-21

-2x+3y-25=-21

move -25 to the other side

sign changes from -25 to +25

-2x+3y-25+25=-21+25

-2x+3y=4

6x-3y=0

find x by eliminating y

Add the equations together

-2x+6x+3y+(-3y)=4+0

-2x+6x+3y-3y=4

4x=4

Divide by 4 for both sides

4x/4=4/4

x=1

Use x=1 into 6x − 3y = 0

6(1)-3y=0

6-3y=0

Move 6 to the other side

6-6-3y=0-6

-3y=-6

Divide both sides by -3

-3y/-3=-6/-3

y=2

Answer:

(1, 2, -5)

5 0
4 years ago
Read 2 more answers
Based o the sample results what percent of the opulation prefers reading a hard copy i fht e digital copy is 4, the hard copy is
Lisa [10]

Based on the sample results of the population the percentage of population that  prefers reading a hard copy i fht e digital copy is 4, the hard copy is 21 and n equas 25 is 84%

Step-by-step explanation:

From the above question  we know that .

<u>Total number of population, n = 25</u>

Number of people who prefer to read a digital copy = 4

Number of people who prefer to read a hard copy = 21

As per the question we need to  find out the percentage  of population who prefer to read hard copy.

So we use the formula

<u>Percent of population preferring hard copy = Hard copy/Total*100</u>

<u></u>

Percent of population that prefers  hard copy = 21/25*100

Percent of population that prefers hard copy = 0.84 × 100 = 84%

<u>So , the percent of population who prefers to read a hard copy are about 84%.</u>

<u></u>

3 0
3 years ago
Find the area of the shaded region in the polygon below.
mezya [45]

Answer:

35

Step-by-step explanation:

I multiply 3 and 7 that give 35

8 0
3 years ago
Read 2 more answers
Find the area. please
sashaice [31]

Answer:

16 cm²  

Step-by-step explanation:

The figure is a trapezoid with two parallel sides.

The formula for the area is

A = ½(a + b)h

Data:

a = 5 cm

b = 3 cm

h = 4 cm

Calculation:

A = ½(5 + 3) × 4 = ½ × 8 × 4 = 16 cm²

The area of the trapezoid is 16 cm².

8 0
4 years ago
I need help for this quizzz hurry plz
dlinn [17]

Answer:

Step-by-step explanation:

b: left arrow with filled in dot

c: right arrow with filled in dot

d:  left arrow with NO filled in dot

5 0
3 years ago
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