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3 years ago

11

Garrett has one dollar less than three times as much money as Liz has. Together they have $179. What equation would you set up t

o find out how much Money Garrett has?

1 answer:

Effectus [21]3 years ago

7 0

Answer:

1-x=179

Step-by-step explanation:

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I need you to help me round decimels

KonstantinChe [14]

question number 1 is 0.6 and 1.4 number 2 is 0.2 and 2.5 number 3 is 20.0
and 26.1 number 4 is 6.54 and cannot see number 5 is 29.15 and cannot see number 6 is 32.10 and cannot see number 7 is 20.051 and cannot see number 8 is 36.582 and cannot see number 9 is 16.570 and cannot see thank you

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3 years ago

The wheels on a car have a diameter of 28 inches. How many full revolutions will the wheels need to make to travel 200 feet?

rodikova [14]

Here we're interested in the circumference: C = pi*d. In this case C = 3.14*(28 inches) = 88 inches.

Now divide this 88 inches into 200 feet to get the # of revolutions ncessary to travel 200 feet.

200 feet 12 in
------------ * --------- = 2400 inches
1 1 ft

2400 inches
----------------------- = 27.2 revolutions (answer)
[ 88 inches/ rev ]

4 0

3 years ago

Plz help me on number 4 thank u so much math people

Anna [14]

A)5.17
B)10.86
<em>I hope this helps</em>

5 0

3 years ago

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral

Iteru [2.4K]

The answer is really none of the above, because all of these have divisions by difference in x, and there are perfectly fine rectangles where those will mean dividing by zero.

To do the problem the way they want us to, we note segments with the same slope are parallel (or collinear); segments with slopes which multiply to -1 are perpendicular.

Let's figure out what each choice is trying to tell us by translating it into parallel and perpendicular. Remember A is point 1, ...

A. ((y_4-y_3)/(x_4-x_3)= (y_3-y_2)/(x_3-x_2)) and ((y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2))=-1

translated, that's CD║BC and CD⊥BC - contradictory; second half right

B. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and ((y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1))=-1

CD ║ AB and CD ⊥ AB - only the parallelogram half is right

C. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and (y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2)=-1

CD║AB and CD⊥BC - that's TRUE

D. (y_4-y_3)/(x_4-x_3)= (y_3-y_1)/(x_3-x_1) and (y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1)=-1

CD║AC and CD⊥AB - nope

Answer: C

The way I'd get the proper expression is with the dot product.

A parallelogram is a rectangle when adjacent sides are perpendicular. It only takes one right angle to make them all right.

Two sides are perpendicular when the dot product of their direction vectors is zero. All the answers have $y_4 - y_3$ so one side is CD. The other side must be BC or AD; AD would give $y_4 - y_1$ terms which don't appear among the answer, so let's go with BC.

The direction vectors are

$D-C = (x_4 - x_3, y_4 - y_3)$

$C-B = (x_3 - x_2, y_3 - y_2)$

For perpendicularity we need a zero dot product:

$0 = (D-C)\cdot(C-B) = (x_4 - x_3)(x_3 - x_2) + (y_4 - y_3)(y_3 - y_2)$

$- (x_4 - x_3)(x_3 - x_2) = (y_4 - y_3)(y_3 - y_2)$

That's the correct expression, given it's a parallelogram, to demonstrate it's a rectangle. The divisions make it iffy.

8 0

3 years ago

Find volume of sphere in cubic yards whose radius is 5 yard<br><br> Use pi = 3.14

enyata [817]

Answer:

523.333 cubic yards

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3}\pi r^{3}$ where $r$ is the radius.

The radius of the given sphere is $r=5$ yards and $\pi =3.14$ .

Therefore, we can substitute in the radius and solve:

$V_{sphere}= \frac{4}{3}\*\times3.14\times 5^{3} =523.333$ cubic yards

4 0

2 years ago

Read 2 more answers