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4 years ago

How much will the toll be after the increase

Mathematics

1 answer:

borishaifa [10]4 years ago

3 0

130% = 1.30

multiply 2.50 x 1.30

2.50 x 1.30 = 3.25

the new toll is 3.25

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How to find perimeter and area

Kay [80]

Answer:

Step-by-step explanation: of what shape?

8 0

3 years ago

Read 2 more answers

You've poured some 8% (by mass) alcohol solution and some 12% alcohol solution into a large glass mixing container. Now you have

Dominik [7]

Step-by-step explanation:

you mixed an 8% and a 12% solution together.

so, you get (8%×mass1 + 12%×mass2)/((mass1 + mass2)/2) as resulting % of the combined solution.

since the result is 10%, which is precisely the arithmetic middle

(8 + 12)/2

we see that mass1 = mass2.

in other words : the same quantity (mass) of the 8% solution and the 12% solution was mixed together.

so, 760g = 2×mass

mass = 380g

380g of the 8% solution and 380g of the 12% solution were mixed together.

4 0

3 years ago

The sum of two numbers is 43. The smaller number is 19 less than the larger number. What are the numbers?

Elan Coil [88]

Answer:

So the answer is 12 and 31.

Step-by-step explanation:

Let the smaller number be x and the larger number be y.

We can calculate this by using simultaneous equation, aka listing 2 equations out.

From given,

X + y = 43

Let this be equation no. 1

X + 19 = y

Let this number be equation 2.

We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.

We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.

X + x + 19 = 43

Solve this by algebra.

2x = 43 - 19

X = 12

Now we know the exact value of x

Now substitute x = 12 into equation no. 2

12 + 19 = y

Y = 31

4 0

3 years ago

The lengths of songs on the radio are normally distributed with a mean length of 210 seconds. If 38.2% of all songs have lengths

Sphinxa [80]

Given that the lengths of songs on the radio are normally distributed with a mean length of 210 seconds, then the probability that a randomly selected song will have length between 194 and 226 seconds is given by:

 $P(194\leq X\leq226)=P\left( \frac{194-210}{\sigma} \ \textless \ z\ \textless \ \frac{226-210}{\sigma} \right) \\ \\ =P\left(- \frac{16}{\sigma} \ \textless \ z\ \textless \ \frac{16}{\sigma} \right)=2P\left(z\ \textless \ \frac{16}{\sigma} \right)-1$

Given that the probability that all songs have lengths between 194 and 226 seconds is 38.2% = 0.382, then

 $2P\left(z\ \textless \ \frac{16}{\sigma} \right)-1=0.382 \\ \\ \Rightarrow2P\left(z\ \textless \ \frac{16}{\sigma} \right)=1+0.382=1.382 \\ \\ \Rightarrow P\left(z\ \textless \ \frac{16}{\sigma} \right)= \frac{1.382}{2} =0.691 \\ \\ \Rightarrow P\left(z\ \textless \ \frac{16}{\sigma} \right)=P(z\ \textless \ 0.5) \\ \\ \Rightarrow \frac{16}{\sigma} =0.5 \\ \\ \Rightarrow\sigma= \frac{16}{0.5} =32$

Therefore, the standard deviation of the distribution is 32 seconds.

8 0

4 years ago

Your friend says that the absolute value equation |3x+8|−9=−5 has no solution because the constant on the right side of the equa

stepladder [879]

Answer:No friend is wrong

Step-by-step explanation: you actually get two answers. After you isolate the absolute value then you take the positive and negative number of what it's set equal too.

|3x + 8| - 9 = -5 add 9 to isolate the absolute value

|3x + 8| = 4

Now set two equations because the abosulte value has two answers.

|3x + 8| = 4. and |3x + 8| = -4

Solve these by removing the absolute value bars.

3x = -4. 3x = -12

x = -4/3. X = -4

7 0

4 years ago