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3 years ago

Without drawing the graphs, find the points of intersection of the lines: a 7x+4y=23 and 8x–10y=19

Mathematics

1 answer:

emmainna [20.7K]3 years ago

8 0

Answer:

(3,0.5)

Step-by-step explanation:

The given system has equations:

$7x + 4y = 23 \\ 8x - 10y = 19$

Let us multiply the second equation by 4 and the first equation by 10.

$70x + 40y = 230 \\ 32x - 40y = 76$

We add both new equations to get:

$102x = 306 \\ x = \frac{306}{102} = 3$

Put x=3 into the first equation and solve for y.

$7(3) + 4y = 23 \\ 21 + 4y = 23 \\ 4y = 23 - 21 \\ 4y = 2 \\ y = \frac{1}{2}$

The point of intersection is the solution to the system of equation which is (3,0.5)

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Solve inequality for x -4(2x+4)>8x+64

Mkey [24]

Answer:

x< - $\frac{16}{3}$

Step-by-step explanation:

x 8x_16>8x+64

Add similar elemants:x - 8x= -7x

-7x - 16 > 8x + 64

Add 16 to both sides

-7x- 16 + 16 > 8x + 64 + 16

Simplify

- 7x > 8x + 80

Subtract 8x from both sides

-7x - 8x > 8x + 80 - 8x

Simplify

-15x > 80

Multiply both sides by - 1 ( reverse the inequality)

(-15x) ( - 1) < 80 ( - 1 )

simplify

$\frac{15x}{15} < \frac{-80}{15}$

4 0

1 year ago

Read 2 more answers

Liam works at a zoo. He was looking at some data showing the masses of their

serious [3.7K]

Median won't change, however Mean will fall by 180.

<h3>What do mean and median?</h3>

By summing all the numbers in a data collection and dividing by the total number of values in the set, one may get the mean (average) of the data set. When a data collection is sorted from least to largest, the median represents the midpoint value.

African elephants total 555 in number.

Elephants had a 3800 kg average mass.

Elephants had a 3600 kg median mass.

Lola, the elephant that was the smallest, weighed 2700 kg.

Later, Lola became really ill and lost a lot of weight, reaching a mass of 1800 kg.

What effect will Lola's weight loss have on the mean and median as well as Currently, the median is 3600 and the lowest is 2700.

now 2700 becomes 1800

so Median remains the same as 3600

No change in Median

The mean mass of the elephants was 3800 kg

=> total weight = 5 x 3800 = 19000 kg

2700 kg becomes 1800 kg

Hence new total mass = 19000 - 2700 + 1800 = 181000 kg

New Mean = 18100/5 = 3620 kg

Mean reduced by 3800 - 3620 = 180 kg

No change in Median weight

Mean reduced by 180 kg

To know more about mean and median click the link:

brainly.com/question/12528427

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4 0

1 year ago

How can probabilities be used to make fair decisions?

GarryVolchara [31]

he magician starts with the birthday boy and moves clockwise, passing out 100100100100 pieces of paper numbered 1111 through 100100100100. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 100100100100, and chooses the volunteer with that number.

Method2: The magician starts with the birthday boy and moves counter-clockwise, passing out 75757575 pieces of paper numbered 1111 through 75757575. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 75757575, and chooses the volunteer with that number.

Method 3\: The magician starts with the birthday boy and moves clockwise, passing out 30303030 pieces of paper numbered 1111 through 30303030. He cycles around the circle until all the pieces are distributed. He gives #1111 to the birthday boy, #2222 to the next kid, and so on. He then counts the number of windows in the room and chooses the volunteer with that number.

yes probabilites can be used to make fair ones

thanx

heya

6 0

3 years ago

21. Andre grew a plant for a science experiment. At the end of his

kotegsom [21]

Answer:

he answer is 140 minutes to plant 14 saplings.

Step-by-step explanation:

30 divided by 3=10

so it takes 10 minutes to plant one sapling.