All categories

3 years ago

Evaluate the expression for the given values of the variables.

Mathematics

1 answer:

pochemuha3 years ago

5 0

The expression 9p − 8q for p = 4 and q = −8 is equal to 100

<h3>Solution:</h3>

Given that we have to evaluate expression for the given values of the variables

Expression is:

⇒ 9p − 8q

Given that p = 4 and q = -8

Let us substitute the given values of p = 4 and q = -8 in given expression and evaluate it

⇒ 9p − 8q = 9(4) - 8(-8)

⇒ 9p - 8q = 9(4) + 8(8)

Upon multiplying the terms we get,

⇒ 9p - 8q = 36 + 64 = 100

Thus the expression is equal to 100

You might be interested in

ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that:

AC/BC = EC/DC = AE/DB

Given:

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

a. Find the length of AE:

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

b. Find the length of AB:

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

Learn more here:

brainly.com/question/14327552

3 0

3 years ago

Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she

sammy [17]

Isabella earns $9.50 per hour. She would've earned $475 for the entire 50 hours.

5 0

3 years ago

Read 2 more answers

I need help. Please show work

telo118 [61]

◆ Area related to Circles ◆

Hey !!

Check the attachment.
Hope it helps you :)

7 0

3 years ago

Nick starts with 20 milligrams of a radioactive substance. The amount of the substance decreases by 14 each week for a number of

zlopas [31]

Answer:

Eric's expression is :

$20(\frac{1}{4})^w$

and Andrea's is :

$(1-0.5)^w$

In Eric's expression, 20 represents the initial amount of substance with which he has started the experiment. $\thinspace \frac{1}{4}\thinspace$ is the amount of substance left after each time period (in this case, each week).The variable w in this case represents the number of weeks.

Andrea's expression can be written as :

$1\cdot (1-0.5)^w$

The one outside of parentheses represents the initial amount of the substance. The one inside of parentheses represents 100% of the original amount of the substance. 0.5 represents the 50% of the substance that is lost each time period. The variable w in this case represents the number of weeks.

8 0

3 years ago

Read 2 more answers

Find the 14th term of the arithmetic sequence - 4x - 1, - 9x - 6 , -14x-11

Yanka [14]

Answer:

-69x-66

Step-by-step explanation:

1) given: a₁=-4x-1; a₂=-9x-6; a₃=-14x-11. Find: a₁₄-?

2) a₁₄=a₁+13d, where d - the difference between neighbor-terms;

3) d=a₂-a₁; ⇔ d= -9x-6+4x+1= -5x-5;

4) a₁₄= -4x-1+13*(-5x-5)= -69x-66.

3 0

3 years ago