Write 9x+6 as a product

Mathematics

1 answer:

OlgaM077 [116]3 years ago

7 0

Correct answer is
3(3x+2)

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Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula

jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

$\frac{5}{5 + 2 + x} = \frac{5}{7 + x}$

Both fractions are equal, so:

$\frac{5}{7 + x} = \frac{1}{2}$

Applying cross multiplication:

$7 + x = 10$

$x = 10 - 7$

$x = 3$

The value of x is 3.

5 0

3 years ago

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin

Tanya [424]

Let the coordinates of the treasure be (x,y).
Let $d_{1}$ = distance from the rock to the treasure.
Let $d_{2}$ = distance from the tree to the treasure.
$d_{1} = \sqrt{(x\2 + (y-2)^2}$
$d_{2} = \sqrt{(16-x)^2 + (21-y)^2}$
We want $\frac{ d_{1} }{ d_{2} }$ = 5/9 in order to locate the treasure.

Note that 5/9 = 0.556 (approx)
Test (11.4, 14.2)
d1 = 14.8, d2 = 8.2, d1/d2 = 1.8 Incorrect
Test (7.6, 8.8)
d1 = 8.2, d2 = 14.8, d1/d2 = 0.554 Correct
Test (5.7, 7.5)
d1 = 6.13, d2 = 16.98, d1/d2 = 0.36 Incorrect
Test (10.2, 12.6)
d1 = 12.8, d2 = 10.2, d1/d2 = 1.255 Incorrect

Answer: The correct answer is (7.6, 8.8)

4 0

3 years ago

Read 2 more answers

Can u pls help me with this question

rodikova [14]

Answer:

Step-by-step explanation:

the 2 fractions are not equal

7 0

3 years ago

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