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3 years ago

5/4 times x + 5/4 times 3 is greater than or equal to negative 1/2 times x + 9 / 2 find x

Mathematics

1 answer:

mart [117]3 years ago

4 0

Answer:

x≥ 3/7

Step-by-step explanation:

5/4x + 5/4(3) ≥ -1/2x + 9/2

5/4x + 15/4 ≥ -1/2x + 9/2

7/4x + 15/4 ≥ 9/2

7/4x ≥ 3/4

x ≥ 3/7

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X + y = 12

pantera1 [17]

Answer:

Step-by-step explanation:

-22

8 0

3 years ago

The scouts packed 9 boxes of different kinds of chips for their trip. Each box had 10 bags of chips. These clues show what they

Katarina [22]

The scouts eat 51 bags of chips on their trip

<h3>How to determine the number of bags of chips?</h3>

The given parameters are:

Boxes = 9

Bag = 10 chips

2 full boxes of potato chips and 3 bags left over.

This represents:

Potato chips = 2 * 10 + 3

Potato chips = 23 i.e. 23 bags potato chips are left over

1 fewer box of nacho chips than potato chips, with no bags left over

This represents

Nacho chips = (2 - 1) * 10

Nacho chips = 10 i.e. 10 bags of nacho chips are left over

The loose bags of potato chips is 3.

So, we have:

Barbecue chips = 2 * 3 bags

Barbecue chips = 6 bags

At this point, we have:

Potato chips = 23 bags
Nacho chips = 10 bags
Barbecue chips = 6 bags

The total number of bags left over is

Total = 23 + 10 + 6

Total = 39

The number of bags eaten is:

Eaten = 9 * 10 - 39

Evaluate

Eaten = 51

Hence, the scouts eat 51 bags of chips on their trip

Read more about algebra equations at:

brainly.com/question/953809

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6 0

2 years ago

Divide 42 in a ratio of 1:2:3

Marianna [84]

7:14:21

Add 1,2,3 = 6
Divide 6 by 42=7
Then 7x1=7
7x2=14
7x3=21

6 0

3 years ago

If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0

4 years ago

Solve the following system of equations by substitution.<br> y=-1<br> 5x + 7y = -2

Nady [450]

Answer:

(1,-1)

Step-by-step explanation:

7 0

3 years ago

5/4 times x + 5/4 times 3 is greater than or equal to negative 1/2 times x + 9 / 2 find x​

5/4 times x + 5/4 times 3 is greater than or equal to negative 1/2 times x + 9 / 2 find x