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Nutka1998 [239]
3 years ago
14

Tisha and Dana were both fishing for salmon, and by coincidence, caught the same number of fish this week. Tisha caught salmon i

n nets that hold 15 15 fish, while Dana caught salmon in nets that hold 18 18 fish. What is the minimum possible number of fish each must have caught?
Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

The minimum number of fish each must have caught is 90 fishes

Step-by-step explanation:

The number of fishes Tisha's net can hold = 15

The number of fishes Dana's net can hold = 18

Let the total number of fishes both Tisha and Dana caught = X

15 × A = 18 × B = X

Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;

15 = 3 × 5

18 = 3 × 6

Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90

Which gives, the minimum number of fish each must have caught = 90 fishes.

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Caroline drove 350 miles to her grandmother’s house. The trip took her 5 1/4 hours. What was her average speed in miles per hour
Shalnov [3]
64 hours per hour average
350 miles ÷5.25 hours in which it took= 63.63 rounded is 64 mph average
7 0
3 years ago
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6 (r - 4) + r + 30 - 7r
GrogVix [38]
6r-24+r+30-7r (the we divide the regular numbers on one side and the others on the other side)Like this:
(6r+r-7r)+(-24+30)
(7r-7r)+6
And the final answer is 6
8 0
3 years ago
The cost of a stove to a store owner was $500, and she sold the stove for $1080. What was her percent of profit based on cost?
Juliette [100K]

Answer:

116%

Step-by-step explanation:

Cost Price (C. P.) = $500

Selling Price (S. P.) = $1080

Profit = SP - CP = $1080 - $500 = $580

Profit percent

=  \frac{Profit}{CP}  \times 100 \\  \\  =  \frac{580}{500}  \times 100 \\  \\  =  \frac{580}{5}  \\  \\  = 116 \%

3 0
2 years ago
Write an equation of the line that passes through the given point and is parallel to the given line.
Margaret [11]

Answer:

Part 40) y=-2x+9

Part 41) y=5x+6

Part 42) y=\frac{2}{3}x+\frac{4}{3}

Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

Part 40) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (4,1)

Given line y=-2x+7

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

so

The slope of the given line is

m=-2

step 2

Find the y-intercept b

we have

m=-2

(4,1)

substitute in the linear equation

1=(-2)4+b

solve for b

b=1+8

b=9

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

m=-2

b=9

substitute

The equation of the line is

y=-2x+9

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (0,6)

Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

so

The slope of the given line is

m=5

step 2

Find the y-intercept b

b=6 ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

m=5

b=6

substitute in the linear equation

y=5x+6

Part 42) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (-5,-2)

Given line y=(2/3)x+1

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

so

The slope of the given line is

m=\frac{2}{3}

step 2

Find the y-intercept b

we have

m=\frac{2}{3}

(-5,-2)

substitute in the linear equation

-2=(\frac{2}{3})(-5)+b

solve for b

-2=-\frac{10}{3}+b

b=-2+\frac{10}{3}

b=\frac{4}{3}

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

m=\frac{2}{3}

b=\frac{4}{3}

substitute

The equation of the line is

y=\frac{2}{3}x+\frac{4}{3}

3 0
3 years ago
Geometry math question please help
denis-greek [22]

In parallelogram the opposite sides are equal. Therefore we have the equation:

8a-4=6a+10\ \ \ |+4\\\\8a=6a+14\ \ \ |-6a\\\\2a=14\ \ \ |:2\\\\\boxed{a=7}

In the parallelogram, the sum of measures of the angles at one side is 180°. Therefore we have the equation:

(18b-11)+(9b+2)=180\\\\(18b+9b)+(-11+2)=180\\\\27b-9=180\ \ \ |+9\\\\27b=189\ \ \ \ |:27\\\\\boxed{b=7}

Answer:

c = a + b → c = 7 + 7 = 14

A. 14

4 0
3 years ago
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