All categories

3 years ago

3. If 2p + q = 11 and p + 2q = 13, then p+q= (A) 6 (B) 8 (C) 9 (D) 12 (E) 18

Mathematics

2 answers:

frozen [14]3 years ago

8 0

Answer:
(C) 9

Step by step:
11-2=9 and it’s asking for both p and q combined so no need to worry about that

Sedbober [7]3 years ago

3 0

Answer:

The correct answer is ( B ) 8.

Step-by-step explanation:

We will first solve the two simultaneous equations for the values of 'p' and 'q' respectively.

Equation No. 1 -

2p + q = 11

Equation No. 2 -

p + 2q = 13

We will make 'q' the subject in Equation No. 1 and substitute the expression for 'q' into Equation No. 2.

Equation No. 1 -

q = 11 - 2p

Equation No. 2 -

p + 2 ( 11 - 2p ) = 13

We will solve Equation No. 2 for the value of 'p'.

Equation No. 2 -

p + 22 - 4p = 13

p - 4p = 13 - 22

- 3p = - 9

p = - 9 ÷ - 3

p = 3

We will substitute the obtain value for 'p' from Equation No. 2 into Equation No. 1 to find the value of 'q'.

Equation No. 1 -

q = 11 - 2 ( 3 )

q = 5

We will substitute the obtained values for 'p' and 'q' from Equation No. 1 and Equation No. 2 into p + q.

= p + q

= 3 + 5

= 8

Therefore:

The correct answer is ( B ) 8.

You might be interested in

The fuel economy of a car, measured in miles per gallon, is modeled by the function ƒ(s) = –0.009s2 + 0.699s + 12 where s repres

Kisachek [45]

Answer:

The maximum fuel economy of the car is 25.57225

Step-by-step explanation:

we are given

$f(s)=-0.009s^2+0.699s+12$

where

where s represents the average speed of the car, measured in miles per hour

So, we have to maximize f(s)

So, firstly we will find derivative

$f'(s)=-0.009*2s+0.699*1+0$

$f'(s)=-0.018s+0.699$

now, we can set it to 0

and then we can solve for s

$f'(s)=-0.018s+0.699=0$

$s=\frac{233}{6}$

To find maximum fuel economy , we can plug s into f(s)

$f(\frac{233}{6})=-0.009(\frac{233}{6})^2+0.699(\frac{233}{6})+12$

$f(\frac{233}{6})=25.57225$

So,

The maximum fuel economy of the car is 25.57225

4 0

3 years ago

Read 2 more answers

True False: Complementary angles sometimes fom straight angles

wel

Answer:

False

Step-by-step explanation:

Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.

6 0

3 years ago

Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec.

hodyreva [135]

Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft 
 = 20 ft
After 2 second Pattie runs = (20+5)ft
 = 25 ft
After 3 second Pattie runs = (25+5) ft
 = 30 ft
After 4 seconds Pattie runs = (30+5) ft
 = 35 ft
After 5 seconds Pattie runs = (35+5) ft
 = 40 ft
After 6 seconds Pattie runs = (40+5) ft
 = 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
 = 16 ft
After 3 second Keith runs = (16+8) ft
 = 24 ft
After 4 second Keith runs = (24+8) ft
 = 32 ft
After 5 second Keith runs = (32+8) ft
 = 40 ft
After 6 second Keith runs = (40+8) ft
 = 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.

8 0

3 years ago

Garden A has a diameter of 50 m and garden B has a diameter of 70 m. How much more edging will be needed for the larger garden t

Maslowich

Answer:

62.8 meters

Step-by-step explanation:

circumference of A = 50π meters

circumference of B = 70π meters

difference = 70π - 50π = 20π meters ≅ 62.8 meters

5 0

3 years ago

Divide. Write Fractions in simplest form. -2 wholes 4/5 fifths ÷ (-7) wholes

ycow [4]

Answer:

-2 4/5 ÷ (-7).

Step-by-step explanation:

Now, this is in unit form.

You are asking to make it in simple form.

Well, Here is how you do it:

Remove the words.
Wholes (*2) and fifths.
then, your equation is now is simplest form.
The equation is: -2 45 ÷ (-7).

There you have it!

5 0

2 years ago