Solve 7(z +2) - 3z =44

Answers

Answer 1

Answer: 7(z +2) - 3z =44
Distribute the 7. Distributive property: a(b+c) = ab + ac

7z + 14 - 3z = 44
Simplify like terms.

4z + 14 = 44
Subtract 14 to both sides

4z = 30
Divide by 4 on both sides.

z = 7.5

Answer 2

Answer: distribute 7:
7z+14-3z=44
4z+14=44
4z=30
z=15/2

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you are planting a rectangle garden. it is 5 feet longer than 3 times its width. the area of the garden is 250 feet. find the dimensions

Answers

l=3w+5
2(3w+5)+2w=250 (both w and l have to be multiplied by two because there are two sides)
This can be simplified to: 6w+10+2w=250
Now subtract 10 from both sides and add the two w's together.
This makes: 8w=260
Divide both by 8: 32.5-w=32.5
32.5 times 2=65
250-65=185, divided by 2=92.5

Length=92.5
Width=32.5

hope this helped!

A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to buy a car worth $43,000. He had to pay the bank for five years for a total amount of $51,600. How much would be the yearly interest if Justine borrowed $50,000 instead? *0 points

Answers

Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

If you are really clever, you can convert between units used. If you want toknow how fast the ball is travelling in the above question in km/hr we must
first convert metres to km and seconds into hours.
Metres to kilometres = 22,metres ÷ 1000 (1000 metres in a kilometre)
.022 km
Seconds to hours = 0.6s+ 3600 (60 seconds in a minute x 60 minutes in an hour)
60min
⇒ Calculate the speed of the ball in km/hr (remember km + hours)
⇒ An aeroplane travels from Brisbane to Melbourne in 2 hours. The
distance travelled is 1700km. What was its speed in km/hr and m/s?
⇒ A student walks 8km in 2 hours. What was its speed in km/hr and
m/s?

Answers

Let's calculate the speed in km/hr and m/s for both scenarios:

**Scenario 1: Ball Travel**

You've already provided the conversions for meters to kilometers and seconds to hours, which are correct.

Distance (in km) = 22 meters / 1000 = 0.022 km
Time (in hours) = 0.6 seconds / 3600 = 0.000167 hours

Now, calculate the speed:
Speed (in km/hr) = Distance / Time = 0.022 km / 0.000167 hours ≈ 131.74 km/hr

**Scenario 2: Aeroplane Travel**

Distance (in km) = 1700 km
Time (in hours) = 2 hours

Now, calculate the speed:
Speed (in km/hr) = Distance / Time = 1700 km / 2 hours = 850 km/hr

To convert this speed to m/s, remember that 1 km/hr is approximately 0.27778 m/s:
Speed (in m/s) ≈ 850 km/hr × 0.27778 m/s/km/hr ≈ 236.11 m/s

**Scenario 3: Student Walking**

Distance (in km) = 8 km
Time (in hours) = 2 hours

Now, calculate the speed:
Speed (in km/hr) = Distance / Time = 8 km / 2 hours = 4 km/hr

To convert this speed to m/s:
Speed (in m/s) ≈ 4 km/hr × 0.27778 m/s/km/hr ≈ 1.1111 m/s

So, in summary:

**Scenario 1: Ball Travel**
- Speed in km/hr: Approximately 131.74 km/hr

**Scenario 2: Aeroplane Travel**
- Speed in km/hr: 850 km/hr
- Speed in m/s: Approximately 236.11 m/s

**Scenario 3: Student Walking**
- Speed in km/hr: 4 km/hr
- Speed in m/s: Approximately 1.1111 m/s

Cylinder has a height of 14 centimeters and its circle bases have a radius of 10 centimeters. find the surface area of the cylinder.2(100  ) + 140   square centimeters
1,400  + 140   square centimeters
2(100  ) + 280   square centimeters
2(1,400  ) + 2(140  ) square centimeters

Answers

200 plus 140 is 300
1400 plus 140 is 1540
200 plus 280 is 480
and 2800 plus 280 3080

From a set of eight marbles, five red and three white, we choose one at random. What are the odds in favor of choosing a red marble?

Answers

There's a 5/8 chance that you will choose the red marble and there's only 3/8 chance for a white marble.

Simplify 8(R + 6) - 2R.

Answers

So the first thing you do is distrubute.

8(R+6) - 2R = 8R+48-2R = 6R + 48

Answer is 6R + 48.

okay first lets distribute the 8 to the R and the 6
Now we have (8R+48)-2R
then we need to combined like terms
8r-2r=6R
So we are left with 6R+48
I hope this helped

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