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3 years ago

Solve Two-Step Equations

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

Answer:

Step-by-step explanation:

1.4h=30-6

4h/4=24/4

h=6

2.y=-9-5

y=-14

3.-36+6=0

-30=0

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PLS HELP QUICK<br> Write an<br> equivalent expression (simplify): 14h + 12 - 8h - 3

aivan3 [116]

Answer:

22h - 9

Step-by-step explanation:

14h + 12 - 8h - 3

14h + 8h + 12 - 3

22h + 12 - 3

22h + 9

7 0

3 years ago

Please solve it<br>I need to submit this by tomorrow

Brrunno [24]

Answer:

Step-by-step explanation:

$(3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1$

7 0

3 years ago

Can someone help me please

schepotkina [342]

Answer:

∠B=60°

Step-by-step explanation:

In this right traingle, using angle B, you have the opposite side which is 6√102, and the adjacent side which is 6√34. Using SOHCAHTOA this invlolves TOA so tangent B = OPPOSITE/ADJACENT or tan B = 6√102/6√34. Simplifying gives tan B=√3. You can use your calculator to solve for B by taking the inverse tangent of √3 or you can use the known trig ratios from the unit circle if you have already learned that to find that angle B is 60°

5 0

3 years ago

A 2000 gallon fish aquarium can be filled by water flowing at a constant rate in 10 hours. When a decorativve rock is placed in

Elza [17]

Answer:

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock ( $V_{r}$ ), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock ( $V'$ ) minus the volume of the fish aquarium with the decorative rock ( $V''$ ), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

$V_{r} = V' - V''$

$V_{r} = \dot V \cdot (\Delta t_{1}-\Delta t_{2})$ (1)

Where:

$\dot V$ - Flow rate, measured in gallons per hour.

$\Delta t_{1}$ - Filling time of the fish aquarium without the decorative rock, measured in hours.

$\Delta t_{2}$ - Filling time of the fish aquarium with the decorative rock, measured in hours.

And the flow rate is:

$\dot V = \frac{2000\,gal}{10\,h}$

$\dot V = 200\,\frac{gal}{h}$

The flow rate is 200 gallons per hour.

If we know that $\dot V = 200\,\frac{gal}{h}$ , $\Delta t_{1} = 10\,h$ and $\Delta t_{2} = 9.5\,h$ , then the volume of the rock is:

$V_{r} = \left(200\,\frac{gal}{h}\right)\cdot (10\,h-9.5\,h)$

$V_{r} = 100\,gal$

$V_{r} = 13.368\,ft^{3}$

The volume of the rock is 13.368 cubic feet.

8 0

3 years ago

Marcus earns 15% commission on his total sales at work.

IrinaVladis [17]

Answer:

Option C

Step-by-step explanation:

Given the following question:

Total cost is $725
15% Marcus makes in commission.

In order to find the answer, we have to find 15% of $725 and that number will be the total in commissions he earned that week.

$\frac{15\times725}{100} =15\times725=10875\div100=108.75$

Marcus makes "$108.75" or option C in commissions last week.

Hope this helps.

5 0

2 years ago