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Artyom0805 [142]
2 years ago
6

Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.

Mathematics
1 answer:
Flura [38]2 years ago
3 0

The solutions to the given system of equations are x = 6 and y = -5

<h3>Simultaneous linear equations</h3>

From the question, we are to solve the given system of equations

The given system of equation is

4x+5y=-1

-5x-8y=10

Multiply the <u>first equation</u> by 5 and the <u>second equation</u> by 4

5× (4x+5y=-1)

4× (-5x-8y=10)

20x + 25y = -5

-20x - 32y = 40

------------------------

0x + (-7y) = 35

-7y = 35

y = 35/-7

y = -5

Substitute the value of y into the first equation to find x

4x + 5y = -1

4x + 5(-5) = -1

4x -25 = -1

4x = -1 +25

4x = 24

x = 24/4

x = 6

Hence, the solutions to the given system of equations are x = 6 and y = -5

Learn more on Simultaneous linear equation here: brainly.com/question/12647791

#SPJ1

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Four horses are pulling a wagon. Each horse drinks 45000 ml of water each day. How many liters of water will the horses drink in
s2008m [1.1K]

45000 x 4 = 180,000

180,000 * 5 = 900,000 ml in 5 days

1 liter = 1000 ml

900,000 / 1000 = 900 liters of water

3 0
4 years ago
The ratio of carrots to potatoes in a garden was 1:2. The ratio of potatoes to tomatoes was 1:3. If there are 45 carrots in the
BlackZzzverrR [31]

Answer:

270 tomatoes

Step-by-step explanation:

Lets organize the Info

Carrots to Potatoes is 1:2

Potatoes to Tomatoes is 1:3

There are 45 Carrots

So lets input it in the ratio Carrots : Potatoes

45 : 2(45)

45 : 90

There are 90 Potatoes in the garden

Lets input that info to the ratio Potatoes : Tomatoes

90: 3(90)

90 : 270

Summarize:

There are :

45 carrots

90 potatoes

270 tomatoes

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0
3 years ago
Read 2 more answers
The primers you used in lab amplified 145 base pairs that were adjacent, but not included in the repeat. If you used a different
Elanso [62]

If your PCR product size was 172 and there were 130 base pairs next to a 14 base pair repeat, then there are 3 repeats.

Given that the newly used primer amplifies 130 base pairs that are near

(a) 14 base pair and

(b) the size of the pcr product is 172

Size = (number of base pairs * number of repetitions) + Initial/Primer Amplicon Value

172 = (14 * x) + 130

172 -130 = 14x

42 = 14x

3 = x

Therefore, we can say that the PCR product has 3 repeats.

Learn more about PCR here

brainly.com/question/14050958

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3 0
1 year ago
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after
Lelu [443]

Answer:

Option A; 74.3 feet

Step-by-step explanation:

~ Here we can see that this problem is set to be so that compound interest is applied ~

1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.

2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...

3. 20 percent is, in a decimal form, ⇒ 0.2

4. Now add 1 to this value 0.2, to get ⇒ 1.2

5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........

6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = <em>(About) 74.30083707.......</em>

7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; <em>Option A</em>

6 0
3 years ago
HURRY NOT MATCH TIME
maw [93]

Answer: 20 words per minute

Step-by-step explanation:

5 0
3 years ago
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