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nexus9112 [7]
3 years ago
15

Solve x in the quadractic x/3 + 10/x-1 = 4.

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable xx.

Exact Form:

x=15+√1052,15−√1052x=15+1052,15-1052

Decimal Form:

x=12.62347538…,2.37652461…x=12.62347538…,2.37652461…

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Charlie puts $50000 in a stock account, but it loses money at a rate of 20%
Alina [70]

Answer:

You dind't include the answer choices but it should look something like

50000(.8)^t

4 0
3 years ago
Write an equation in point-slope form of the line that passes through the point (9,0) and has a slope of m=-3 .
aksik [14]

Answer:

y =  - 3x + 27

Step-by-step explanation:

The standard form for the equation of the line is

y = mx + c

Recall that:

y = 0 \:  \:  \: x = 9 \:  \:  \: m =  - 3 \\ y = mx + c \\ 0 =  - 3(9) + c \\ 0 =  - 27+ c \\ 27 = c

Therefore the equation of the line is:

y = mx + c \\ y =  - 3x + 27

5 0
2 years ago
You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.
son4ous [18]

Answer:

a. How many bowls could you glaze?

6 bowls

How many plates could you glaze?

10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

How many plates can you glaze?

2 plates

How much glaze will be left over?

8/9 of glaze would be left

c. How many of each object could you glaze so that there is no glaze left over? Explain how you found your answer.

4 4/23 bowls and 4 4/23 plates

Step-by-step explanation:

We are told in the question

Number of pints of glaze = 6 pints

Number of pints to glaze a bowl= 7/8 of pint

Number of pints to glaze a plate = 9/16 of a pint

a.

How many bowls could you glaze?

7/8 pint = 1 bowl

6 pints = x

Cross Multiply

x = 6 pints/ 7/8

= 6 × 8/7

= 48/7

= 6.8571428571 bowls

We can only glaze whole numbers of a bowl, hence, we can only glaze 6 bowls

How many plates could you glaze?

9/16 pint = 1 bowl

6 pints = y

y = 6 pints/ 9/16

= 6 × 16/9

= 10.666666667 plates

We can only glaze whole number of a plate, hence, we can only glaze 10 plates

b. You want to glaze 5 bowls, and then use the rest for plates.

1 bowl = 7/8 pints

5 bowls = z

Cross Multiply

z = 5 × 7/8pints

= 4 3/8 pints of glaze would be used for bowls

How many plates can you glaze?

The rest is for plates, hence:

The amount of glaze left for plates is calculated as:

6 pints - 4 3/8

1 5/8 pints of glaze would be left over to glaze plates.

So therefore,

9/16 pints = 1 plate

1 5/8 pints =

= 2 8/9

Hence we can only glaze 2 plates

How much glaze will be left over?

2 8/9 pints - 2 pints

= 8/9 pints of glaze.

c. How many of each object could you glaze so that there is no glaze left over?

We have 6 pints of glaze

Number of pints to glaze a bowl= 7/8 of pint

Number of pints to glaze a plate = 9/16 of a pint

Let the number of each objects be represented by x

7/8 × x + 9/16 × x = 6 pints

= 4 4/23 bowls and 4 4/23 plates

3 0
2 years ago
A biology class has a total of 35 students. The number of females is 11 less than the number of males. How many males and how ma
lord [1]

Answer:

23 males and 12 females

Step-by-step explanation:

x = # of females

y = # of males

x + y = 35

x + x + 11 = 35

2x + 11 =35    (SUBTRACT 11 FROM BOTH SIDES)

2x = 24          (DIVIDE BOTH SIDES BY 2)

x = 12 females

x + y =35

12 + y = 35     (SUBTRACT 12 FROM BOTH SIDES)

y = 23 males

23 males + 12 females = 35 students

3 0
2 years ago
Is 9/11 rounded to 0,1/2 or 1
uranmaximum [27]
9/11 is rounded to 1. It rounds up because 9 is higher than 5, which is the middle of 11.
4 0
3 years ago
Read 2 more answers
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