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777dan777 [17]
3 years ago
7

What is x over 5 equals 8 over 9?

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0
X/5 = 8/9
this is a proportion, so we cross multiply
(9)(x) = (5)(8)
9x = 40
x = 40/9 or 4 4/9
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larisa86 [58]

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What steps would you use to plot (−3, −4, 0) in a 3-dimensional coordinate system?
eimsori [14]

Answer:

a. From the origin, move back 3 units and down 4 units

Step-by-step explanation:

Given:

The coordinates of a point in a 3-dimensional space is given as:

(-3, -4, 0)

The value of 'x' = -3

The value of 'y' = -4

The value of 'z' = 0

At the origin, the values of 'x', 'y', and 'z' are each equal to 0.

So, the coordinates of origin is (0, 0, 0). In order to reach the point (-3, -4, 0) from the point (0, 0, 0), we don't move along the z-axis as the 'z' value remains the same. We need to move along the 'x' and 'y' directions only.

Now, 'x' is equal to -3. Negative values of 'x' occur backwards from origin. So, we move back by 3 units. to reach the point (-3, 0).

Now, the value of 'y' is -4. Negative values of 'y' occur below the origin. So, we move down by 4 units to reach the point (-3, -4).

Therefore, the correct option is option (a)

A graph in 2 dimensional is shown in support of the answer.

8 0
3 years ago
A watch cost $75.99. If the sales tax rate is 6.25%, what is the amount of sales tax?
Luden [163]

75.99*0.0625=4.75 hope helps

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3 years ago
HELP
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Multiple Thumbs-up ^_^

5 0
3 years ago
Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1000 was collected and 150 tickets sold. How
vesna_86 [32]
Let the number of students who bought tickets be s,
Let the number of adults who bought tickets be a,

Equation 1:

3s \: + \: 8a \: = \: 1000

Equation 2:

s \: + \: a \: = \: 150 \\ s \: = \: 150 \: - \: a

Substitute ( 2 ) into ( 1 ),

3(150 \: - \: a) \: + \: 8a \: = \: 1000 \\ 450 \: - \: 3a \: + \: 8a \: = \: 1000 \\ 5a \: = \: 550 \\ a \: = \: 110

Substitute a = 110 into ( 2 ),

s \: + \: 110 \: = \: 150 \\ s \: = \: 40

Ans: 40 Student Tickets, 110 Adult Tickets
7 0
3 years ago
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