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3 years ago

Haala buys 13 identical shirts and 22 identical ties for 363.01.. The cost of a shirt is 15.35. Find the cost of a tie

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

Answer:

EACH TIE COSTS 7.43

Step-by-step explanation:

If 13.35x13=173.55 then that means the ties total is 189.46 now devide that by 22 it equals 13.35

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If the diameter of a circle changes from 18 cm to 6 cm, how will the circumference change?

olga_2 [115]

The circumference when the diameter is 18 = 18pi

The circumference when the diameter is 6 = 6pi

18pi/6pi=3

The circumference will become a third of what it was.

Hope this helps!

6 0

3 years ago

What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0

2 years ago

A particle moves along a line with a velocity v(t)=t2−t−6, measured in meters per second. Find the total distance the particle t

ahrayia [7]

Answer:

10.67 m

Step-by-step explanation:

Velocity is given as;

v(t) = t² − t − 6

To get the distance, we will integrate the velocity equation.

x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t

Thus, from t=0 seconds to t=4 seconds., we have;

(t³/3) - (t²/2) - 6t between 0 and 4.

Thus;

Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]

Total distance = (64/3) - 8 - 24 = -10.67 m

Distance can't be negative and so we take the absolute value which is 10.67 m

7 0

3 years ago

Solve the following system using substitution

julsineya [31]

Change x+y=5 to y=5-x
x+5-x=-3
0=-8
The answer is no solution. :)

5 0

3 years ago

Read 2 more answers

In a gambling game, you roll 2 die and if you toss 2 sixes, you win $100, otherwise you lose $5.

Natalka [10]

Answer:

a. $\frac{1}{36}$ chance you win.

b. The expected value of the game is -$2.08.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

You roll 2 die and if you toss 2 sixes

For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:

$p = (\frac{1}{6})^2 = \frac{1}{36}$

a. What is the chance you win?

$\frac{1}{36}$ chance you win.

b. What is the expected value of the game?

1/36 probability of winning 100.

35/36 probability of losing 5. So

$E = \frac{1}{36}*100 - \frac{35}{36}*5 = \frac{100 - 175}{36} = -\frac{75}{36} = -2.08$

The expected value of the game is -$2.08.

7 0

2 years ago