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Ksju [112]
3 years ago
13

Ethan bikes 13 more miles than thomas. The sum of Thomas's mileage and twice Ethan's mileage =83

Mathematics
1 answer:
stiv31 [10]3 years ago
6 0
83-13 = 70
70/2 = 35

Thomas’s mileage is 35 miles
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A tour company has a boat that sits at most 40 passengers. For a cruise on the Hudson River they charge $12 per adult and $5 per
EleoNora [17]

Answer:

No

Step-by-step explanation:

For the adults:

$12 times the 14 adults which is: $168

Then for the kids:

$5 times the 9 kids which is: $45

Add next:

$168 plus the $45 equals $213

A(14)+b(5)=c

5 0
3 years ago
Triangle A″B″C″ is formed by a reflection over x = −3 and dilation by a scale factor of 3 from the origin. Which equation shows
Allisa [31]

Answer:

  see below

Step-by-step explanation:

Each segment in ΔA"B"C" is 3 times the length of the corresponding segment in ΔABC. This is due to the dilation by a scale factor of 3.

Then you have ...

  \overline{A''B''}=3\overline{AB}\quad\text{or}\\\\\dfrac{\overline{AB}}{\overline{A''B''}}=\dfrac{1}{3}

The latter relation matches the second choice.

5 0
3 years ago
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The length of a rectangle is twice the width. The area is 162 yd? Find the length and the width.
Tresset [83]

Answer:

length = 2x = 2(9) = 18 yds

Step-by-step explanation:

Let width = x

Let length = 2x

Area = 162 yd2

 

length × width = Area

 

2x(x) = 162

2x2 = 162

 

Divide by 2 on both sides of equation.

 

x2 = 81

 

Square-root both sides of equation to undo the exponent.

 

x = √(81)

x = 9

 

Substitute this x value into the initial variables.

 

width = x = 9 yds

length = 2x = 2(9) = 18 yds

6 0
3 years ago
A 20 foot ladder is resting against the side of the house the base of the latter is 4 feet away from the house approximately how
notka56 [123]

The ladder resting against the house forms a triangle similar to the one in the image below

To answer this question you must use Pythagorean theorem

a^{2} +b^{2}=c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = x

b = 4

c = 20

^^^Plug these numbers into the theorem

x^{2} +4^{2} =20^{2}

solve for x

x^{2} + 16 = 400

x^{2} = 384

x = 8√6

or

x ≈ 19.5959....

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
Plz help asap geometry!!
strojnjashka [21]

Answer:

2688

Step-by-step explanation:

To determine the number of different meals he could order, multiply the numbers of choices together

4 appetizers *4 meats* 6 vegetables * 4 desserts* 7 drinks =2688

There are 2688 different meals

3 0
3 years ago
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