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kupik [55]
3 years ago
15

A boat goes 3/4 hours with a speed of 8mph and 1/3 hours with a speed of 12mph. What distance did the boat cover in all this tim

e?
Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

<em>10 miles</em>

Step-by-step explanation:

Distance d = v t

v - speed/velocity

t - time

<em>d</em> = \frac{3}{4} (8) + \frac{1}{3} (12) = 6 + 4 = <em>10 miles</em>

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The area of a rectangle is 30 square meters. Find the length and width if the length is 1.45 times the width.
lyudmila [28]

Answer:

<u>The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Area of a rectangle = 30 square meters

2. Find the length and width if the length is 1.45 times the width.

Width of the rectangle = x

Length of the rectangle = 1.45x

Now substituting in the formula of the area of a rectangle, this way:

30 = x * 1.45x

30 = 1.45x²

x² = 30/1.45

x = √30/1.45

x = 10 √6/29 or 4.55 (Rounding to two decimal places)

1.45 x = 14.5 √6/29 or 6.6

<u>The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.</u>

7 0
3 years ago
Lines m and n are parallel lines cut by a transversal l.
Igoryamba

Answer:

Angles 1 and 3 are congruent as vertical angles; angles 3 and 7 are congruent as corresponding angles.

Step-by-step explanation:

<1 and <3 are vertical angles  because they are formed by the same lines and are opposite each other .  3 and 7 are corresponding angles because they are in the same position at each intersection where a straight line crosses two others.  Since the lines are parallel, they are equal  That makes 1 and 7 equal

5 0
3 years ago
Read 2 more answers
Which one is cheapest
Kobotan [32]

Green Sprinkles


Pink Sprinkles is $3.20 per pound

Blue Sprinkles is $4.00 per pound

Green Sprinkles is $2.80 per pound

5 0
3 years ago
A student council sells 44 bouquets for $176. Which equation represents the
vesna_86 [32]

Answer:

y = 4x

Step-by-step explanation:

Given

x = 44

y = 176

Required

Determine the relationship between x and y

First, we calculate the unit rate, using:

y = kx

Where k is the unit rate.

Substitute 176 for y and 44 for y

176 = k * 44

Divide both sides by 44

\frac{176}{44} = \frac{44*k}{44}

\frac{176}{44} = k

4 = k

k = 4

Substitute 4 for k in y = kx

y = 4x

Hence, the relationship between x and y is: y = 4x

4 0
3 years ago
Consider the following function. f(x) = |x − 9| Find the derivative from the left at x = 9. If it does not exist, enter NONE. -1
nydimaria [60]

Answer with Step-by-step explanation:

We are given that

f(x)=\mid x-9\mid

f(x)=-(x-9) when x<9

f(x)=x-9 when x\geq 9

LHD

\lim_{x\rightarrow 9-}f'(x)

=-\lim_{x\rightarrow 9-}(x-9)=-1

RHD

\lim_{x\rightarrow 9+}f'(x)

=\lim_{x\rightarrow 9+}(x-9)=1

LHD\neq RHD

Hence, the function is not differentiable at x=9

8 0
3 years ago
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