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mina [271]
3 years ago
5

4x+2y=20 and 3x-y=10 Which coordinate solves both equations.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

4x + 2y = 20

3x - y = 10

Multiplying second equation by 2.

6x - 2y = 20

Adding to the first,

10x = 40

x = 4

y = 3x - 10 = 3(4) - 10 = 2

Answer: (4, 2)

Check:

4(4) + 2(2) = 16+4 = 20, good

3(4) - 2 = 12 - 2 = 10, good

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This table shows some values of an exponential function. what is the function
Yuri [45]

Answer:

there is no table so we are therefore unable to answer this question

Step-by-step explanation:

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4 0
3 years ago
Ann cleans an apartment in 12 hours and liz cleans an apportment in 18 hours. How long would it take to clean an appartment toge
Tresset [83]
If Ann cleans in 12 hours then she cleans \frac{1}{12} of the apartment per hour. Similarly Liz cleans \frac{1}{18} of the appartment per hour. So together then can clean \frac{1}{12}+\frac{1}{18}=\frac{5}{36} of the apartment for hour. Therefor it will take them \frac{36}{5}=7.2 hours to clean.

The general formula R_{c}=\frac{AB}{A+B} can be used as a check if needed.
5 0
3 years ago
The diagonal of the rectangle is 15 cm and one of its sides is 9 cm. find the area of the rectangle.
Tems11 [23]

The area of the rectangle is 108 square centimeters.

Given Information

The following information has been given in the question,

Length of the diagonal of the rectangle, l = 15 cm

Length of one of the sides of the rectangle, a = 9 cm

Let the other side of the rectangle be b.

Finding the Other Side of the Rectangle

According to Pythagoras Theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,

l² = a² + b²  [∵ The diagonal makes the hypotenuse]

(15)² = (9)² + b²

b² = (15)² - (9)²

b² = 225 - 81

b² = 144

b = √144

b = 12 cm

Calculating the Area of the Rectangle

Area of the rectangle, A = a × b

A = 9 × 12

A = 108 cm²

Learn more on a rectangle here:

brainly.com/question/15019502

#SPJ4

5 0
2 years ago
What is the 22nd­ term of the arithmetic sequence ­­­ ­ ­ ­­ ­ ­ ­ ­­ 12 , 17 ,­ 22 , 27 , .... , .... , ....
11Alexandr11 [23.1K]

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117

5 0
3 years ago
PLZ HELP ASAP! WILL GIVE BRAINLIEST AND 30 POINTS!!
Elis [28]
ANSWER
Group A

Step by step explanation
I am bad at explaining things
If we want to find The group with the youngest age , we have to find the mean. The mean , means that we add up all the numbers ( the age) ,then divide them with how much number you added . For example, we add the age of group A 9+10+10+10+10+10+10+10+15+15+15+15+15+15+15+15+17+17+17+17+17+17+17+17+19+19+19+19+19+19=449
Than Count how many people are in group A , group A have 30 people that the number you will be dividing
So 449 divided by 30 is 14.966
That the average

The same go for group B
10+10+10+10+10+10+14+14+14+14+14+18+18+18+18+18+18+25+25+25+25+25+28+28+28+28+29+29+29+29=519

There 30 peoples in group B
519 divided by 30 is 19.7
So the Average of groupB is 19.7

Group a is 14.9 and group B is 19.7
Group A average is smaller than Group B that means ,The average of Group A is younger than Group B so the answer will be group a

Group A is the younger Group then group B

3 0
3 years ago
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