4 - 2x = 10 pls help

During a business trip, an individual stopped at two rest stops. In the parking lot of the first rest stop, they counted 20 cars

olganol [36]

Answer

given,

on first stop

number of car = 20 and number of trucks = 18

on second stop

number of car = 18 and number of trucks = 10

we need to calculate which rest stop has higher ratio of car to truck.

Rest Stop 1

ratio= r₁ = $\dfrac{cars}{trucks}$

r₁ = $\dfrac{20}{18}$

r₁ = $\dfrac{10}{9}$

Rest Stop 2

ratio= r₂ = $\dfrac{cars}{trucks}$

r₂ = $\dfrac{18}{10}$

r₂= $\dfrac{9}{5}$

hence, r₂ > r₁

rest stop 2 has more car to truck ratio than rest stop 1

3 0

3 years ago

Please help me out! Thank you!

crimeas [40]

Answer:

Slope intercept form is y=mx+b. M= -1, which means your slope is -1. So far the equation is y=-x+b. Now you need to find b which is the y-intercept. To find b, you will use the point (1,3). You will plug it in into the equation, it will look like this 3=-1(1)+b. Now you solve for b. Multiply -1 and 1 you get -1. Add 1 to both sides and you have b=4. So the equation is y=-x+4. So to find k, plug in the point (k,6). It will look like this 6=-k+4. Subtract 4 on both sides. 2=-k is what you have so far. Divide by -1 on both sides. THE ANSWER IS K=-2.

5 0

3 years ago

Evaluate 44 – 5 x (4^2 ÷ 8).

Archy [21]

If you would like to evaluate 44 - 5 * (4^2 / 8), you can calculate this using the following steps:

44 - 5 * (4^2 / 8) = 44 - 5 * 16 / 8 = 44 - 5 * 2 = 44 - 10 = 34

The correct result would be 34.

4 0

3 years ago

Can someone help please I need this asap

son4ous [18]

Answer:

PART:A

$10_P_4=5040$

PART:B

$6_C_2=15$

PART:C

$6_C_2=15$

Step-by-step explanation:

PART:A

When the four officers are chosen than the number of ways of doing this is:

$10_P_4$

since we have to choose 4 officers and also they need to be arranged according to their ranks.

Hence, the numbers of ways doing so is:

$10_P_4=\dfrac{10!}{(10-4)!}\\\\=\dfrac{10!}{6!}\\\\=10\times 9\times 8\times 7\\\\=5040$

PART:B

Now we have to choose 2 members out of the remaining 6 members so the we have to use combination since we have to just choose the members and do not have to rank them or in short we can say we do not have to arrange them.

Hence, the number of ways doing this is:

$6_C_2=\dfrac{6!}{2!\times (6-2)!}\\\\=\dfrac{6!}{2!\times 4!}\\\\=15$

Hence, the number of ways of doing this is: 15.

PART:C

Now this process of doing so is also same as the above.

Hence, the number of ways of doing so is: 15.

8 0

3 years ago

Simplify the following expression and explain your answer. 3x-y+2y+4xy

den301095 [7]

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

Step 1

3x-y+2y+4xy equation/Question

step 2

3x-y+2y+4xy simplify by removing brackets and combining terms

(4xy)+(3x)+(-y+2y)

4xy+3x+y

answer

4xy+3x+y

5 0

3 years ago

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