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Dimas [21]
2 years ago
14

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were 4

136 total votes, how many yes votes were there?
Mathematics
1 answer:
kow [346]2 years ago
6 0

Answer:

1551 Yes voters

Step-by-step explanation:

Yes : No

3 : 5

total = 4136

add up both no and yes :3+5 =8

8 will be the total ratio of voters

Yes

3/8 × 4136

= 0.375 × 4136

= 1551 Yes Votes

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If a sample of pure sodium has a mass of 8.2 grams and sodium has an average atomic mass of 22.99 g/mol, how many sodium atoms a
Nonamiya [84]
8.2 grams = 1 mol
Na ________
22.99 grams

First multiply the value of 8.2 to 1. Then divide by the value of 22.99 to determine the number of moles of sodium present in the 8.2 gram sample.

Then use the following equation to solve for sodium atoms.

Number of moles of Na • Avogadro Number = Number of sodium atoms.

0.3566782 • (6.02 X 10^23). = 2.1472 X 10 ^ 23. Or 2.15 X 10 ^ 23.

The answer is the second option - 2.15 X 10 ^ 23.
7 0
3 years ago
1 is 25% of what numder
allsm [11]

Answer:

4, it's obvious think of it as a quarter.

Step-by-step explanation:

1 = 25%

2 = 50%

3 = 75%

4 = 100%

5 0
2 years ago
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
NeTakaya

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

6 0
2 years ago
Nick works as a waiter. He earns $75 each weekend plus 15% in tips on meals served. Nick served $675 worth of meals last weekend
maxonik [38]

Answer:

Nick's\ earning=\$ 176.25

Step-by-step explanation:

Let total meal served=\$x

Tip=15\%\ of x=\frac{15}{100}x=0.15x\\\\Nick's\ earning=75+0.15x\\\\Here\ x=\$675\\\\Nick's\ earning=75+0.15\times 675=75+101.25=\$ 176.25

7 0
3 years ago
Wat is x in 1/3x - 11 = 5
kirza4 [7]

=48

Multiply by 1

Add 1 1 11 11

to both sides of the equation

6 0
3 years ago
Read 2 more answers
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