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2 years ago

Simplify expression 3p+7q-2p-5q

Mathematics

2 answers:

Alborosie2 years ago

8 0

P+2q
Hope this helps
............

hichkok12 [17]2 years ago

7 0

Here, what you would do is combine like terms. So you get P+2q.

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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

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2 years ago

A trader purchased an article for 250 naira. At what price must he sell to make a profit of 20%?

Misha Larkins [42]

Answer:

300

Step-by-step explanation:

10% of 250 is 25. so 20% is 50

250 + 50 = 300

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2 years ago

A soccer game lasts 90 minutes without running into overtime. The coach

KatRina [158]

Answer: 7 Switches will be made.

Step-by-step explanation:

$\frac{90}{12.5}=$ number of switches

$7.2=$ number of switches

however you cannot have a fraction of a switch so you must round it to a whole number, which in this case is 7.

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1 year ago

A chemist is using 381 milliliters of a solution of acid and water. If 17.4% of the solution is acid, how many milliliters of ac

Romashka-Z-Leto [24]

Answer:

66.3 mL

Step-by-step explanation:

17.4% of 381 mL is ...

0.174 × 381 mL = 66.3 mL

7 0

3 years ago

Help I don't know how to do this

Vilka [71]

Answer:

P(t) = 282.2(1.009)^t

Step-by-step explanation:

Look at the attached image.

Hope you can read my handwriting. the image cut off the right side, b = 1.009213324... but question asks to round to nearest thousandth so it's 1.009

For the second part just use the equation to find P when t = -1 and see if P is less than (underpredicts) the number from the question or greater than (overpredicts) the number. I haven't calculated it but I think it will be smaller and thus underpredicts just from looking at the numbers when t = -1

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2 years ago