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3 years ago

John mows 1/3 of his lawn in 30 minutes. If he mows his lawn for 1 hour. How much can he mow?

Mathematics

1 answer:

Maru [420]3 years ago

4 0

Answer:

2/3

Step-by-step explanation:

30 * 2 = 60 (1 hour)

1 * 2 = 2/3

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so yea

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WORTH 20 POINTS HELP

vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}$

$RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}$

$ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}$

$TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}$

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$QR = \frac{9 + 1}{2 + 3} = \frac{10}3$

$RS = \frac{5-9}{-4 - 2} = \frac{2}3$

$ST = \frac{5+5}{-4 + 7} = \frac{10}3$

$TQ = \frac{-5+1}{-7 + 1} = \frac{2}3$

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

6 0

2 years ago

There are 45 M&Ms in a standard size bag. At 360 calories per bag,

Artyom0805 [142]

Answer:

about 8 calories per M&M

Step-by-step explanation:

6 0

3 years ago

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find the probability of being delt 5 clubs and 3 cards with one of each remaining suit in 8 card poker

kumpel [21]

Answer: 0.003757(approx).

Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = $^{52}C_8$

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = $^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1$ [since 1 suit has 13 cards]

The required probability = $=\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}$

$=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757$

Hence, the required probability is 0.003757 (approx).

5 0

3 years ago

Please help me i would appreciate it greatly

Lera25 [3.4K]

Answer:

I would put B

Sorry if it's wrong I would have to know what the test is about to answer this

Step-by-step explanation:

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3 years ago

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Francine applies the commutative property to the product. (−8/9)⋅(−13)⋅(18) Which expression illustrates the commutative propert

oksian1 [2.3K]

The commutative property implies that, the order of multiplication is not important.

$(-\frac 89) \cdot (18) \cdot (-13)$ is true

Commutative property of multiplication states that:

If $a \times b = b \times a$

The expression is given as:

$(-\frac 89)\cdot (-13) \cdot (18)$

To get the commutative expression, we simply change the position of each factor in the expression.

So, some possible equivalent expressions are:

$(18) \cdot (-13) \cdot (-\frac 89)$

$(18)\cdot (-\frac 89) \cdot (-13)$

$(-13) \cdot (18) \cdot (-\frac 89)$

There are several other equivalent expressions.

From the list of options;

$(-\frac 89) \cdot (18) \cdot (-13)$ is true

Read more about commutative property at:

brainly.com/question/7037119

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2 years ago

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