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2 years ago

Is the sequence arithmetic? If so, identify the common difference. 14, 21, 42, 77, ...

Mathematics

1 answer:

Ierofanga [76]2 years ago

5 0

Answer:

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Line AB contains points A(-6,1) and B(1,4).

Free_Kalibri [48]

To solve this problem you must apply the proccedure shown below:

1- You have that the equation of the line is:

$y=mx+b$

Where $m$ is the slope and $b$ is the y-intercept.

2- Based on the information given in the problem, the lines $AB$ and $CD$ are parallel, which means that both have the same slope. Therefore, you can calculate the slope of $AB$ :

$m=\frac{y2-y1}{x2-x1}$

$m=\frac{4-1}{1-(-6)}=\frac{3}{7}$

3- Use the coordinates of the point $D(7,2)$ to calculate the y-intercept:

$2=\frac{3}{7}(7)+b$

4. Solve for $b$ :

$b=2-3=-1$

5. The equation of the line $CD$ is:

$y=\frac{3}{7}x-1$

The answer is: $y=\frac{3}{7}x-1$

6 0

3 years ago

Doña Gertrudis recolecta en promedio 75 litros de leche de cabra por día y utiliza alrededor de 5 litros para hacer un kilogramo

Nimfa-mama [501]

Answer:

825 pesos a day on average

1 dozen weight = 2.4 kg

Step-by-step explanation:

In ENGLISH:

Doña Gertrudis collects on average 75 liters of goat milk per day and uses around 5 liters to make one kilogram of cheese. The cheeses he makes weigh 200 grams each and he sells them for 132 pesos a dozen. How much money do you get per day on average from the sale of your cheeses? How many kilograms does the dozen cheeses weigh?

Solution:

75 Liters / 5 Liters = 15

15 * 1 kg = 15 kg of cheese per day

15kg in grams is 15*1000 = 15,000 grams

Each cheese block is 200 grams, so number of blocks of cheese:

15,000/200 = 75 blocks of cheese

1 dozen (12) = 132 pesos, so 1 would be:

132/12 = 11 pesos PER BLOCK

SO, 75 blocks of cheese = 75 * 11 = 825 pesos (per day on average)

Dozen cheese weight in kg,

200 grams * 12 = 2400 grams

In kg,

2400/1000 = 2.4 kg

8 0

3 years ago

Please show ur work ty so much I appreciate it if u rlly help me

KengaRu [80]

The answer is going to be A!!!

8 0

2 years ago

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A recipe calls for 3/4 cup of sugar for every 3 cups of flour.How many flour should be used for every 1 cup of sugar ?

vivado [14]

You need 1/4 of sugar per cup of flour. So you need 4 cups of flour for every one cup of sugar

5 0

3 years ago

Simply the expression 2(10)+2(x+4)

postnew [5]

Step-by-step explanation:

2(10)+2(x+4)

20 + 2x + 8

20 +8 +2x

28+2x

5 0

2 years ago

Read 2 more answers