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3 years ago

3(1−9a)+22a=2(2a−9)−15 i need a step by step explanation please

Mathematics

2 answers:

SpyIntel [72]3 years ago

5 0

Answer:a=4

Step-by-step explanation:

Expand the brackets. Collect like terms. Get the same values on each side so it’s easier to isolate a. Divide 9 from 9a so that u get a by itself and this gives u the answer if 36/9 or 4.

motikmotik3 years ago

3 0

Answer:

a = 4

Step-by-step explanation:

first distrubute the 3 and then 2 in the equations to whatever is inside the parantheses:

3 ( 1-9a) + 22a = 2(2a-9) -15

3 - 27a + 22a = 4a - 18 - 15

then combine the terms:

3 - 5a = 4a -33

then isolate the variables and constants to one side, for example move the 5a to the right side of the equation and move the 33 to the left side of the equaiton and then simplfy

36 = 9a

divide both sides by 9

a = 4

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Annette [7]

Answer:

No! They are not proportional!

Step-by-step explanation:

Proportional prices to the length means that

(price 1/length 1)=(price 2/length 2)=(price 3/length 3)

Even by plugging in the numbers yourself to double check my numbers, and getting and answer for each ratio, it is clear that they are not proportional.

3 0

3 years ago

A toll collector on a highway receives $8 for trucks and $7 for cars. At the end of a 33-hour period, she collected $296. H

frosja888 [35]

Answer:

The required list is: 0 car and 37 truck; 8 car and 30 truck; 16 car and 23 truck; 24 car and 16 truck; 32 car and 9 truck;

Step-by-step explanation:

Consider the provided information.

A toll collector on a highway receives $8 for trucks and $7 for cars, at the end she collected $296.

Let t represents the number of trucks and c represents the number of cars pass through highway.

$8t+7c=296$

$8t=296-7c$

$t=37-\frac{7c}{8}$

The number of trucks should be natural number.

Substitute c=0 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(0)}{8}$

$t=37$

Substitute c=8 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(8)}{8}$

$t=37-7$

$t=30$

Substitute c=16 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(16)}{8}$

$t=37-14$

$t=23$

Substitute c=24 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(24)}{8}$

$t=37-21$

$t=16$

Substitute c=32 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(32)}{8}$

$t=37-28$

$t=9$

Hence, the required list is: 0 car and 37 truck; 8 car and 30 truck; 16 car and 23 truck; 24 car and 16 truck; 32 car and 9 truck;

8 0

3 years ago

Among the 7th graders in a middle school, three quarters of them play at least one sport. Among the 7th graders who play sports,

kifflom [539]

Answer:

512

Step-by-step explanation:

Let the number of 7th graders in the school is x.

As three-quarters of them play at least one sport, so, the number of 7th graders who play sport = $\frac 3 4 x$ .

Among the 7th graders who play sports, half of them play more than one sport. So, the number of 7th graders who play more than one sport $= \frac 1 2\times \frac 3 4 x=\frac 3 8 x$ .

Among the 7th graders who play more than one sport, one-third of them play more than two sports. So, the number of 7th graders who play more than two sport $= \frac 1 3\times \frac 3 8 x=\frac 1 8 x$ .