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3 years ago

Which graph represents 4x + 7y < -21

Mathematics

1 answer:

allsm [11]3 years ago

3 0

Answer:

Step-by-step explanation:

Since the sign is not $\leq$ , and it is <, then you'd choose the option with the dotted line showing it isn't inclusive.

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What is the least common denominator used to add the fractions 1/32 and 3/24

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2 years ago

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Umnica [9.8K]

Answer:

see explanation

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY = ∠ YXZ , thus

7x - 7 = 5x + 3 ( subtract 5x from both sides )

2x - 7 = 3 ( add 7 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

(b)

∠ WXY = 7x - 7 = 7(5) - 7 = 35 - 7 = 28°

(c)

∠ YXZ = 5x + 3 = 5(5) + 3 = 25 + 3 = 28°

(d)

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3 years ago

What is the LCM of 13/16a^3b^3, 11/30a^5b

vichka [17]

Answer:

The L.C.M of given numbers is $\frac{143}{240}a^5b^3$ .

Step-by-step explanation:

The given expressions are

$\frac{13}{16}a^3b^3$

$\frac{11}{30}a^5b$

The factors of given expressions are

$\frac{13}{16}a^3b^3=\frac{13}{8}\times \frac{1}{2}\times a\times a\times a\times b\times b\times b$

$\frac{11}{30}a^5b=\frac{11}{15}\times \frac{1}{2}\times a\times a\times a\times a\times a\times b$

$L.C.M.=\frac{13}{8}\times \frac{1}{2}\times a\times a\times a\times b\times b\times b\times \frac{11}{15}\times a\times a$

$L.C.M.=\frac{143}{240}\times a^5\times b^3$

$L.C.M.=\frac{143}{240}a^5b^3$

Therefore, the L.C.M of given numbers is $\frac{143}{240}a^5b^3$ .

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3 years ago