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3 years ago

In 3 hours a car traveled 180 kilometer.at the same average rate,how many kilometers can the car travel in 5 hours

Mathematics

1 answer:

xenn [34]3 years ago

4 0

3×180=5×N
540 =5N
540/5=N
108 =N
N=108 KM

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Evaluate p(x)=-3+4x when x=-2,0,and 5

Luden [163]

Answer: -11, -3, 17

Step-by-step explanation:

There are three answers depending on what x equals. In this case, x can equal: -2, 0, or 5.

Part 1:

Step 1: Substitute -2 for x

-3 + 4(2)

Step 2: Solve

-3 + 8 = 5

This is the first answer

Part 2:

Step 1: Substitute 0 for x

-3 + 4(0)

Step 2: Solve

-3 + 0 = -3

This is the second answer

Part 3:

Step 1: Substitue 5 for x

-3 + 4(5)

Step 2: Solve

-3 + 20 = 17

This is the third answer

3 0

3 years ago

PLS HELP I'LL MATK BRAINLIEST

Kaylis [27]

Answer:

Step-by-step explanation:

Question 1:

First, write the equation out:

4(x+3)=7x-3

solve for x:

4x+12=7x-3

15=3x

x=5

Question 2:

Do the same on the second question:

30-x=3x-6

36=4x

x=9

4 0

3 years ago

How do u solve this problem

777dan777 [17]

$\text{Use}\\(a+b)^2=a^2+2ab+b^2\\\\i=\sqrt{-1}\to i^2=-1$

$1)\\(8+7i)^2=8^2+2\cdot8\cdot7i+(7i)^2=64+112i+49i^2\\\\=64+112i-49=15+112i$

$3)\\(-1+6i)^2=(-1)^2+2\cdot(-1)\cdot6i+(6i)^2=1-12i+36i^2\\\\=1-12i-36=-35-12i$

4 0

4 years ago

Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how mu

pychu [463]

Answer:

Janice and Karen could do in 1 day:

20% of the job.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

3 persons ⇒ 3 1/3 days or 10/3 days
1 person ⇒ x

Then:

$x=\frac{1 person*\frac{10}{3}days }{3 persons}$ (we cancel the unit "persons")
$x=\frac{\frac{10}{3}days }{3}$
x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

Time to complete a job between 2 persons = $\frac{10}{2}days$
Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

5 days ⇒ 100% of a job
1 day ⇒ x

Then:

$x=\frac{1*100}{5}$ (you can use the % if you want, the result is the same)
$x=\frac{100}{5}$
$x=20$

As you can see, Janice and Karen just in a day could do 20% of the job.

3 0

3 years ago

Find the value of x. Round the nearest tenth

zimovet [89]

Answer:

x ≈ 30.7

Step-by-step explanation:

Reference angle = 61°

Opposite side length = x

Adjacent side length = 17

Applying the trigonometric function TOA, we have:

Tan 61 = opp/adj

Tan 61 = x/17

17 × Tan 61 = x

x ≈ 30.7

4 0

3 years ago