The sum of three consecutive even integer is 42. What is the value of the second largest integer

The table shows the age of the swimmes on Dions swims team. Find the mean age of the swimmers om the team?

PilotLPTM [1.2K]

Hello!

If we want to find the mean (average) of any set of numbers, all you need to do is add the set together, then divide by how many numbers are in the set.

When we add all the numbers we get: 100

Next we just divide by the number of people which is 10: 100 divided by 10 is 10

So, the mean age of the swimmers on the team is an even number of 10.

3 0

2 years ago

Please help me with this

lakkis [162]

So since 2/5 of the washing machines have been sold that means 3/5 remain in the store

first find the number of washing machines that were in the store before any were sold

X is the number of washing machines in the store before selling

18=(3/5)X

18/(3/5)=X
X=18*(5/3)
X=30

so at the beginning there were 30 machines

then multiply the percent sold (2/5) by the number at beginning to find the number sold

(2/5)*30=12

so 12 machines were sold

to find the cost per machine divide the total price by number of machines sold so

$3840/12= $320

so the answer is $320 per machine

5 0

2 years ago

Solve for f: 6f + 9g = 3g + f

andrezito [222]

Answer:

f= -(6/5)g

Explanation:

We have been given the expression 6f+9g = 3g+f

Solve for f means find the value of f

We will simplify the given expression:

we will collect the values of f at one side and g on the other side

So, rewriting the given expression 6f+9g =3g+f as 6f-f=3g-9g

So, after simplification it will lead to 5f= -6g

After further simplification f= -(6/5)g which is the final result

3 0

2 years ago

Read 2 more answers

4.) What is the exact value of sinθ when θ lies in Quadrant II and cosθ=−513

dimaraw [331]

Answer:

Part 4) $sin(\theta)=\frac{12}{13}$

Part 10) The angle of elevation is $40.36\°$

Part 11) The angle of depression is $78.61\°$

Part 12) $arcsin(0.5)=30\°$ or $arcsin(0.5)=150\°$

Part 13) $-45\°$ or $225\°$

Step-by-step explanation:

Part 4) we have that

$cos(\theta)=-\frac{5}{13}$

The angle theta lies in Quadrant II

so

The sine of angle theta is positive

Remember that

$sin^{2}(\theta)+ cos^{2}(\theta)=1$

substitute the given value

$sin^{2}(\theta)+(-\frac{5}{13})^{2}=1$

$sin^{2}(\theta)+(\frac{25}{169})=1$

$sin^{2}(\theta)=1-(\frac{25}{169})$

$sin^{2}(\theta)=(\frac{144}{169})$

$sin(\theta)=\frac{12}{13}$

Part 10)

Let

$\theta$ ----> angle of elevation

we know that

$tan(\theta)=\frac{85}{100}$ ----> opposite side angle theta divided by adjacent side angle theta

$\theta=arctan(\frac{85}{100})=40.36\°$

Part 11)

Let

$\theta$ ----> angle of depression

we know that

$sin(\theta)=\frac{5,389-2,405}{3,044}$ ----> opposite side angle theta divided by hypotenuse

$sin(\theta)=\frac{2,984}{3,044}$

$\theta=arcsin(\frac{2,984}{3,044})=78.61\°$

Part 12) What is the exact value of arcsin(0.5)?

Remember that

$sin(30\°)=0.5$

therefore

$arcsin(0.5)$ -----> has two solutions

$arcsin(0.5)=30\°$ ----> I Quadrant

or

$arcsin(0.5)=180\°-30\°=150\°$ ----> II Quadrant

Part 13) What is the exact value of $arcsin(-\frac{\sqrt{2}}{2})$

The sine is negative

so

The angle lies in Quadrant III or Quadrant IV

Remember that

$sin(45\°)=\frac{\sqrt{2}}{2}$

therefore

$arcsin(-\frac{\sqrt{2}}{2})$ ----> has two solutions

$arcsin(-\frac{\sqrt{2}}{2})=-45\°$ ----> IV Quadrant

or

$arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\°$ ----> III Quadrant

5 0

2 years ago

Identify the percent of change as an increase or a decrease. 4/5 to 3/5

vovikov84 [41]

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

.6 is less than .8, just as 3/5 is less than 4/5.

Another analogy that can be used is seeing the fraction as a real-life object.

Let's say that you make two pies. You cut the pie evenly into five slices. You set them on the table and leave them for whoever wants to eat them. You see that Pie 1 has two slices missing (3/5) and that Pie 2 has one slice missing. (4/5)

3 out of 5 slices are left of Pie 1.

4 out of 5 slices are left of Pie 2.

Pie 1 has less than Pie 2 does.

Hope this has helped!

6 0

3 years ago