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natita [175]
4 years ago
15

A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ____ holes in

25 minutes.
Mathematics
1 answer:
goldfiish [28.3K]4 years ago
5 0
I think it's 15 holes
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-2 1/4 divided by (-1 1/2)
Gnoma [55]

Answer:

1.5

Step-by-step explanation:

6 0
3 years ago
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A rectangular lot whose perimeter is 380 ft is fenced along three sides. An expensive fencing along the​ lot's length cost $ 25
AlekseyPX
We have two widths of the same length plus one length

Let the width be w and the length be l

Perimeter = 2×width + 2×length
380 = 2w + 2l
 380 = 2(w+l)
190 = w+l(equation 1)

The cost is $5 per foot on the width and $25 per foot on the length
Total cost = (5 × 2 × width) + (25 × length)
3625 = 10w + 25l (equation 2)

We have two variables that we need to solve, so we will need to use the simultaneous equations method (either elimination or substitution)

Since equation 1 is given 190 = w + l, we can rearrange the equation to make l the subject

l=190-w

then substitute this into equation 2

3625 = 10w + 25l
3625=10w + 25(190-w)
3625=10w+4750-25w
3625=-15w+4750
15w = 4750 - 3625
15w = 1125
w = 1125/15
w = 75

Substitute w = 75 back into 190 = w + l

190 = 75 + l
l = 190 - 75
l = 115

Answer:
Length = 115 feet
Width = 75 feet

7 0
3 years ago
The sum of twice a number, n, and 14 is 30. Write an equation that models this
zalisa [80]

Answer:

2n+14=30

2n=30-14

  • 2n=16
  • n=8

8 0
3 years ago
Can you please show me how to do this?
LenaWriter [7]
If you continue the top ray down to the lower our the two lines you create an angle that it's an exterior angle of a triangle and it's also a corresponding angle to the 110° angle. since corresponding angles are congruent this angles is also 110°. this angle makes a linear pair with the angle to it left, the lower right angle on the triangle. linear pairs add to 180° so the angle has to be 70°. the lower left angle of this triangle is given as 37°. since the 3 angles of a triangle must add to 180° , the top angle has to be 180-(70+37)=73. since the top angle of the triangle makes a linear pair with the angle in question, our angle has to be 180-73=107°

8 0
3 years ago
Find x special right triangle
sashaice [31]

Answer:

\sin(45 )  = y \div 11 \sqrt{6}

\frac{1}{ \sqrt{2} }  =    \frac{y}{11 \sqrt{6} }  \\  \\ y =  \frac{11 \sqrt{6} }{ \sqrt{2} }  \\  y = 11 \sqrt{3}

\tan(60)  =  \frac{x }{11 \sqrt{3} }  \\  \\  \sqrt{3}  =  \frac{x}{11 \sqrt{3} }   \\ x  =  \sqrt{3} \times 11 \sqrt{3}  \\  x = 33

7 0
3 years ago
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