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2 years ago

Solve for y. 3(3y - 6) = 18

Mathematics

1 answer:

AveGali [126]2 years ago

5 0

Answer:

y=4

Step-by-step explanation:

first you that the number outside of the parenthesis and multiply it by the numbers inside 3x3y (ignore the y for right now) and 6x3 now we have 9y-18=18 now we move the 18 so the y is by itself now we have 9y=36 divide both by 9 and you get your answer y=4

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The inside of tank is in the shape of a right rectangular prism. The base of the prism is 85 cm by 64 cm. What is the minimum he

Allisa [31]

Answer:

16.9 cm

Step-by-step explanation:

The volume of a prism = Area of base × height

For a rectangular prism, the base of the area = length × breadth

The volume of the liquid = 92 L

Since 1 L = 1000 cm³, 92 L = 92000 cm³

92000 = 85 × 64 × h

5440 h = 92000

h = 92000 ÷ 5440 = 16.9 cm

8 0

2 years ago

Could you help plz.

I am Lyosha [343]

Cost of each bags of flour = $2.50

Cost of each bags of butter = $3.75

Solution:

Let f be the bags of flour and b be the pounds of butter.

Cost of 20 bags of flour 16 pound of butter = 110

⇒ 20f + 16b = 110 -------------------- (1)

Cost of 30 bags of flour 12 pound of butter = 120

⇒ 30f + 12b = 120 -------------------- (2)

Equation (1) and (2) are the system of equations.

(2) ⇒ 30f + 12b = 120

Subtract 30f from both sides.

⇒ 12b = 120 – 30f

Divide by 12 on both sides.

$$\Rightarrow b =\frac{120-30f}{12}$ -------------------- (3)

Substitute (3) in (1).

$$20f+16\left(\frac{120-30f}{12}\right)=110$

$$20f+4\left(\frac{120-30f}{3}\right)=110$

$$20f+4(40-10f)=110$

$$20f+160-40f=110$

Subtract 160 from both sides.

$$-20f=-50$

Divide by –20, we get

$$f=\frac{5}{2}$

f = 2.50

Substitute f = 2.5 in equation (3), we get

$$\Rightarrow b =\frac{120-30(2.50)}{12}$

$$b=\frac{15}{4}$

b = 3.75

Cost of each bags of flour = $2.50

Cost of each bags of butter = $3.75

7 0

3 years ago

To find out how many rabbits were in a park students tagged 10 rabbits. They later came back to the park and counted 200 total r

worty [1.4K]

Answer:

400

Step-by-step explanation:

The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms, This method is called the Lincoln-Peterson Index of population size.

6 0

2 years ago

How do you find a linear equation

Tasya [4]

Flip equation
$- 12x + 96 = y - 11$
add -96 to both sides
$- 12x + 96 + - 96 = \\ y - 11 + - 96 - 12x = y - 107$
divide both sides by -12
$\frac{ - 12x}{12} = \frac{y - 107}{12}$
ANSWER
$\frac{ - 1}{12} y + \frac{107}{12}$

3 0

3 years ago

Solve the equation.<br><br> 3x-5=2(-x-5)

Ira Lisetskai [31]

Answer:

The value of x = -1

Step-by-step explanation:

=> 3x-5=2(-x-5)

=> 3x - 5 = -2x - 10

=> 3x + 2x = -10 +5

=> 5x = -5

=> x = -5/5

=> x = -1

5 0

9 months ago

Read 2 more answers