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3 years ago

Round 3..............almost out of points .-.

Mathematics

2 answers:

Sidana [21]3 years ago

8 0

You can use a proportion.

2/3 inch is to 1 hour as 6 2/3 inch is to x hours.

$\dfrac{\frac{2}{3}~inch}{1~hour} = \dfrac{6 \frac{2}{3}~inch}{x}$

Cross multiply to get

$\dfrac{2}{3} x = 6 \dfrac{2}{3}$

$\dfrac{2}{3} x = \dfrac{20}{3}$

$2x = 20$

$x = 10$

Answer: It rained for 10 hours.

Dovator [93]3 years ago

4 0

6 2/3 ÷ 2/3
= 20/3 ÷ 2/3
= 20/3 × 3/2
= 20/2
= 10

Answer
10 hours

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Here are the dates of three pivotal female mathematicians: Sophie Germain (French) 1776-1831, Sonja Kowalevsky (Russian) 1850-91

Zina [86]

Sonja kowalevsky
Emmy noether
Sophie Germain

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3 years ago

Tyrone went to a basketball game and bought a jersey that was on sale at a 30% discount. He also bought a hat that cost $37.89.

Dmitry [639]

Answer:

Jersey cost (without discount)= $65

Step-by-step explanation:

<u>First, we need to determine how much he spent on the jersey:</u>

Jersey cost (with discount)= 83.39 - 37.89

Jersey cost (with discount)= $45.5

<u>Now, the original cost of the jersey:</u>

Jersey cost (without discount)= discount cost / (1 - discount)

Jersey cost (without discount)= 45.5 / 0.7

Jersey cost (without discount)= $65

7 0

3 years ago

Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards o

DochEvi [55]

Used 3/4 to make scarf

2 scarves needs 3/4+3/4=6/4=3/2 yard

can it be made with 1 and 4/5?
1 and 4/5=5/5+4/5=9/5
compare 3/2 and 9/5
times first fraction by 5/5 and 2nd by 2/2
15/10 and 18/10
15/10<18/10
yes, has enough
confused by the division, please use parenthasees like (3/4) instead of 'fraction 3 over 4'

C or D, very confused by words that are many

8 0

4 years ago

Read 2 more answers

Mei and Anju are sitting next to each other on different horses on a carousel. Mei's horse is 3 meters from the center of the

SOVA2 [1]

Answer:

$2\pi \approx 6.28\ meters$

Step-by-step explanation:

Mei's horse is 3 meters from the center of the carousel. After one rotation, Mei travelled

$l_M=2\pi r=2\pi \cdot 3=6\pi\ meters$

Anju's horse is 2 meters from the center. After one rotation, Mei travelled

$l_A=2\pi r=2\pi \cdot 2=4\pi\ meters$

The difference in their travelled distances is

$l_M-l_A=6\pi -4\pi =2\pi \approx 6.28\ meters$

5 0

4 years ago

Read 2 more answers

WILL GIVE MEDAL!!! I NEED ANSWER ASAP!!! Lukalu is rappelling off a cliff. The parametric equations that describe her horizontal

Bingel [31]

The horizontal function is x(t) = 8·t
The vertical function is y(t) = -16·t² + 100

A) The answer is: it takes her 2.62 time units to reach the ground.

The time taken to move horizontally is equal to the time taken to move vertically from the cliff to the ground, therefore, we can set:
8·t = -16·t² + 100

and solve for t:
16·t² + 8·t - 100 = 0
4(4·t² + 2·t - 25) = 0
4·t² + 2·t - 25 = 0

$t_{1,2} = \frac{- \frac{b}{2} \pm \sqrt{(\frac{b}{2})^{2} - ac } }{a}$
$t_{1,2} = \frac{- \frac{2}{2} \pm \sqrt{(\frac{2}{2})^{2} - (4)(-25) } }{4}$

t₁ = (-1 + √101) / 4 = 2.62
t₂ = (-1 - √101) / 4 = - 2.76

We cannot accept negative times, therefore the solution is t = 2.62 time-units.

B) The answer is: she lands 20.96 distance-units from the cliff.

In order to find the distance travelled, substitute the time taken found in point A into the equation of the horizontal movement (using the vertical one you would calculate the height of the cliff):
x(t) = 8·t
x(2.62) = 8 · 2.62 = 20.96

Hence, Lukalu lands 20.96 distance-units from the cliff.

8 0

4 years ago