2 years ago

Can someone help me with all of these?

Mathematics

1 answer:

weqwewe [10]2 years ago

5 0

Answer:

Step-by-step explanation:

o989

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Phil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter?

andrezito [222]

$x-Peter's\ rocks\\3x-Phil's\ rocks\\\\x+3x=48\\4x=48\ \ \ \ \ \ |:4\\x=12\\3x=3\cdot12=36\\\\36-12=24\\\\Phil\ have\ 24\ more\ rocks\ than\ Peter.$

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3 years ago

A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up

Serjik [45]

Solution:

Number of times a die is rolled = 20

1 - 3=A

2 - 5=B

3 - 4=C

4 - 2=D

5 - 3=E

6 - 3=F

Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times

= Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes

= 6! × [ 3! × 5! × 4!×2!×3!×3!]

= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]

= 895795200 Ways

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3 years ago

A rectangle field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensio

mr_godi [17]

$x + x + 5x + 5x = 288 \\ 12x = 288 \\ x = 24$

Width = 24 yards
Length = 24 x 5 = 120 yards

Area =
$24 \times 120 = 2880 \: sq. \: yrds$

Hope this helps. - M

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3 years ago

Is 1/7 rational or irrational

KiRa [710]

$\frac{1}{7} \ is\ rational\ number. \\\\ Every\ number\ which\ can\ be\ written\ as\ fraction\ (quotient)\ of\ two\\numbers\ is\ rational.$