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2 years ago

NEED ANSWER ASAP PLEASE

Mathematics

2 answers:

Kay [80]2 years ago

5 0

Answer:

<h2>After 1 hour and 24 minutes.</h2>

Step-by-step explanation:

The turtle.

It gets 7 kilometers head start.
Its speed is 2 kilometers per hour.

The rabbit.

It doesn't get any head start.
Its speed is 7 kilometers per hour.

We know that, $v_{turtle} = 2km/hr$ and $v_{rabbit}= 7km/hr$

Assuming both have a constant movement, we define each one with

$d=vt$

$d_{rabbit}=v_{rabbit}t$ and $d_{turtle}=v_{turtle}t$ , replacing values, we have

$d=7t$ which is the distance of the rabbit, and we know the turtle's is +7, so

$d=2t+7$ .

Now, we substute the first equation into the second one,

$7t=2t+7\\7t-2t=7\\5t=7\\t=\frac{7}{5}hr$

If we divide, we'll have a mixed number

$t=\frac{7}{5}=1\frac{2}{5}= 1 \ hr \ 24 \ min$

Therefore, the time they will meet is after 1 hour and 24 minutes.

ollegr [7]2 years ago

3 0

I don't get how it would be a system of equations.

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Choose exactly two answers that are correct. Which expressions could complete this equation so that it has an infinite number of

Maru [420]

Answers A and D


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8(x−3)−2x = [distribute] 8x−24−2x = 6x−24 [combine like terms]

3 0

3 years ago

The Cheer Club is making a banner for your school using the design shown. The area of the yellow portion is 1 ft2. The expressio

olga nikolaevna [1]

Answer:

$Blue = \frac{8}{9}$

Step-by-step explanation:

Given

$Yellow = 1ft^2$

$Blue = 8z^{-1$

Required

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To do this, we simply substitute 9 for z in $Blue = 8z^{-1$

$Blue = 8 * 9^{-1$

Convert indices to fraction

$Blue = 8 * \frac{1}{9}$

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Hence, the blue section has an area of $\frac{8}{9}ft^2$

3 0

3 years ago

How many solutions exist for the given equation? StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x

Firlakuza [10]

Answer:

One solution x = 2

Step-by-step explanation:

Given the equation:

$\dfrac{1}{2}(x+12)=4x-1$

Multiply this equation by 2:

$2\cdot \dfrac{1}{2}(x+12)=2\cdot (4x-1)\\ \\x+12=2(4x-1)$

Use distributive property:

$x+12=8x-2$

Combine the like terms:

$x+12=8x-2\\ \\x+12-12=8x-2-12\\ \\x=8x-14\\ \\x-8x=8x-14-8x\\ \\-7x=-14\\ \\7x=14\\ \\x=2$

Thus, this equation has one solution x = 2

7 0

3 years ago

Read 3 more answers

a local basketball court dimensions are 50 ft long, 20 ft wide, the court is lost square footage by 1/4. what are the new dimens

VikaD [51]

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3 0

3 years ago

I’ll give you brainliest for the first person with an answer

raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.

Area of the rectangle: lw, so 15mm * 9mm = 135mm^2

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2

Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

4 0

2 years ago