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3 years ago

2. A bowling alley charges $3.00 to rent shoes and $1.50 per game bowled.

Mathematics

1 answer:

Zina [86]3 years ago

6 0

3+1.50n would be an expression for this

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A father walks 36 miles in 12 hours while his son covers the same distance on a bicycle at twice the father's rate of speed. At

anygoal [31]

it would be d.)54 miles

5 0

3 years ago

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What is the answer to this

blagie [28]

The answer would be -7 n= -7 because a negative times a negative equals a postive

5 0

3 years ago

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Find the number of sides for a regular polygon whose interior angles each measure 10 times each exterior angle

gavmur [86]

Answer:

22 sides

Step-by-step explanation:

The expression to find an interior angle of a polygon is:

$\frac{(n-2)*180}{n}$

The expression to find an exterior angle of a polygon is:

$\frac{360}{n}$

Please note that "n" represents the number of sides the polygon has.

We can use these two expressions to set up an equation.

$\frac{(n-2)*180}{n}=10(\frac{360}{n})$

Multiply both sides by "n":

$(n-2)*180=10n(\frac{360}{n})$

Now, distribute:

$180(n)-180(2)=\frac{3600n}{n}\\180n-360=3600$

Divide both sides by 10:

$\frac{180n}{10}-\frac{360}{10}=\frac{3600}{10}\\$

$18n-36=360$

Add 36 to both sides:

$18n=360+36\\18n=396$

Divide both sides by 18:

$n=22$

The polygon has 22 sides

6 0

2 years ago

Find x to the nearest hundredth! Please help !

Oxana [17]

Answer:

9.37

Step-by-step explanation:

Given your description, we can set up the equation as:

sin(42) = x/14

*Multiply both sides by 14*

x = 14 * sin(42) = 9.37

3 0

3 years ago

Solve the simultaneous equations:<br><br> 3a+2b=7<br> a-2b=5

Step2247 [10]

Answer:

a = 3, b = - 1

Step-by-step explanation:

Given the 2 equations

3a + 2b = 7 → (1)

a - 2b = 5 → (2)

Rearrange (2) expressing 2b in terms of a

2b = a - 5 ← Substitute into (1)

3a + a - 5 = 7

4a - 5 = 7 ( add 5 to both sides )

4a = 12 ( divide both sides by 4 )

a = 3

Substitute a = 3 into (1 ) or (2 ) for corresponding value of b

Using (1 )

9 + 2b = 7 ( subtract 9 from both sides )

2b = - 2 ( divide both sides by 2 )

b = - 1

8 0

2 years ago