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quester [9]
3 years ago
12

Graph the inequality. 4x + 6y ≥ 10

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Ignore the ≥ for the moment and just make this into a y = mx + b equation is a neat trick. Here's the work:

4x + 6y ≥ 10 : Subtract both sides by 4x
6y ≥ -4x + 10 : Divide both sides by 6
y ≥ -4/6x + 5/3

Now graph this line where when x = 0, y = 5/3 and it decreases by 4/6 as x increases by 1. Now shade everything that is above the drawn-line because y-values that are greater than the y-value of that equation counts. Like this answer? Give it a Brainiest answer if so. Thanks.

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Sam has fewer baseball cards than Jill (she has 36). There are only three ways that he can arrange all of his cards in equal row
pantera1 [17]

Answer:

27, 30, 33

Step-by-step explanation:

Since Sam has fewer number of baseball cards than Jill who has 36 baseball cards and can arrange all his cards in only three ways, the possible number of baseball cards that Sam could have is 27, 30 or 33.

If he has 27 baseball cards, he can arrange 9 baseball cards per row in 3 rows

If he has 30 baseball cards, he can arrange 10 baseball cards per row in 3 rows

If he has 33 baseball cards, he can arrange 11 baseball cards per row in 3 rows

7 0
3 years ago
How much chocolate will each person get if 3 people share 1/2 pound of chocolate equally?
eimsori [14]
1/6 pound of chocolate for each person ( 1/2 / 3 ).
3 0
3 years ago
What is the conjugate?
nata0808 [166]
A conjuate is real numbers like the conjuate of x and y would be a real number
7 0
4 years ago
A bird releases waste from a height of
shepuryov [24]

Answer:

5secs

Step-by-step explanation:

Given the equation of the height expressed ad;

h(t) = - 16t^2 + initial height

Given that initial height = 400feet

h(t) = - 16t^2 + 400

The waste will hit the ground at when h(t) = 0

substitute

0 =  - 16t^2 + 400

16t^2 = 400

t² = 400/16

t² = 25

t = √25

t = 5secs

Hence it will take the easte 5secs to hit the ground

7 0
3 years ago
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin
Schach [20]

Answer:

3 machine

Step-by-step explanation:

It is given that 6 machine each working at the same rate can complete the work in 12 days

We the has to complete in 8 days

Let we need x extra machine to complete the work in 8 days

So total number of machines =x+6

Now according to man work day equation M_1D_1=M_2D_2

6\times 12=(x+6)\times 8

8x+48=72

8x=24

x=3 machine

7 0
4 years ago
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