What is the answer to 3-2

Pls help, needed asap. Thank you and can you explain, im having troubles

Step2247 [10]

Step-by-step explanation:

(I'll be adding more answers to this answer soon!)

Alright, let's start off with the first question. :)

So, the entire length of AC is 60.

AB + BC = AC, as you can infer from the diagram.

We know that AB is 2x + 8, and AC is 3x + 7.

So,

2x + 8 + 3x + 7 = 60.

Now, we can simply evaluate for x:

Combine the like terms to get 5x + 15 = 60

Subtract 15 to get 5x = 45

Divide by 5 to get the first question's answer as x = 5 :)

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Time for the second question!

AD is a straight angle. If an angle is straight, it measures 180 degrees. So,

AD = 180

From the diagram, we can tell that x+17 and 5x+13 add up to 180.

x + 17 + 5x + 13 = 180

Now, we can simply solve for x!

6x + 30 = 180

6x = 180 - 30 = 150

x = 150 / 6 = 25

So, we get x = 25 as the answer to the second question! :)

8 0

3 years ago

A rectangular parking lot is 120 feet long and 75 feet wide. Diego made another scale drawing of the parking lot at a scale of 1

andrew11 [14]

Answer:

We kindly invite you to read carefully the explanation detailed below for further details.

Step-by-step explanation:

At first we understand that Diego converted length and wide units from feet to inches ( $1\,ft = 12\,in$ ) and then he divided each term by 180, since he was using a reduction scale, so that rectangular parking lot can be represented on paper. That is:

Step 1 - Unit conversion:

$l = 120\,ft$ ( $l$ - Length)

$l = 120\,ft\times \frac{12\,in}{1\,ft}$

$l = 1440\,in$

$w = 75\,ft$ ( $w$ - Width)

$w = 75\,ft\times \frac{12\,in}{1\,ft}$

$w = 900\,in$

Step 2 - Applying scaling:

$l' = \frac{l}{180}$ ( $l'$ - Scaled length)

$l' = \frac{1440\,in}{180}$

$l' = 8\,in$

$w' = \frac{w}{180}$ ( $w'$ - Scaled width)

$w' = \frac{900\,in}{180}$

$w' = 5\,in$

6 0

4 years ago

You are to give an injection of a drug. The dosage is 0.4 mg per kilogram of bod The concentration of the drug in vial is listed

shusha [124]

Answer:

We inject 60.9628 milliliters of dosage.

Step-by-step explanation:

Given : You are to give an injection of a drug. The dosage is 0.4 mg per kilogram of bod The concentration of the drug in vial is listed as 500 ug/ml. The patient's chart Hosts weight as 168 pounds.

To find : How many milliliters (= cc) are you to inject?

Solution :

We know that,

1 pound = 0.453592 kg,

Patient's weight = 168 pounds

Patient's weight in kg = $168\times 0.453592=76.203456$ kg