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Maslowich
3 years ago
15

Please help solve last one

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

The answer would be 7(2x+3y+z) or 7(2x+3y+1z) (both would be considered as correct)

Step-by-step explanation:


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There are only green pens and red pens in a box. there are 3 more red pens than green pens in the box. sheila is going to take a
e-lub [12.9K]

Answer: 6 or 9

Step-by-step explanation:

Given the following :

Let the number of green pens = x

Number of red pens = x + 3

Probability of picking same color = 17/35

Taking two pens at random; probability of picking two pens of same color.

Probability of picking red on first pick then red on second pick ; or picking blue on first pick then blue on second pick

Probability = (Required outcome / Total possible outcomes)

Total number of pens = x + x + 3 = 2x + 3

Probability of picking red then red:

P(red first) = (x+3)/2x+3

P(red second) = x+3-1 / 2x+3-1 = (x+2)/2x+2)

Therefore, probability of red then red =

(x+3)/(2x+3) × (x+2)/2x+2)

= (x+3)(x+2) / (2x+3)(2x+2)

Probability of green then green:

P(first green) = x/(2x+3)

P(second green) = (x-1) / (2x+3-1) = (x-1) / (2x+2)

P(green then green) = x(x-1)/(2x+3)(2x+2)

Therefore,

[(x+3)(x+2) / (2x+3)(2x+2)] + [x(x-1)/(2x+3)(2x+2)] = 17/35

(x+3)(x+2)+x(x-1) / (2x+3)(2x+2) = 17/35

Cross multiply :

35(x+3)(x+2)+x(x-1) = 17(2x+3)(2x+2)

35(2x^2 + 4x + 6) = 17(4x^2 + 10x + 6)

70x^2 + 140x + 210 = 68x^2 + 170x + 102

70x^2 - 68x^2 + 140x - 170x + 210 - 102 = 0

2x^2 - 30x + 108 = 0

Now we have a quadratic equation which can be factoeized used using any known factorization method.

Factorizing this, we get

(x-6) = 0 or (x-9) = 0

x = 6 or x = 9

6 0
3 years ago
What figure appears to be the image of figure h after a dilation by a scale factor of 1/2 and a rotation of 180 degrees?
Fofino [41]

Answer:

Figure D

Step-by-step explanation:

we know that

If the scale factor of the dilation is 1/2, that means the dilation is a reduction

so

the answer is between the Figure C and Figure D

but  

a rotation of 180° eliminate the Figure C

therefore

The answer is the Figure D

6 0
3 years ago
Read 2 more answers
A motorcycle travels north along
Sindrei [870]

Answer:

42 mph

Step-by-step explanation:

From 2 p.m. to 6 p.m. 4 hours passed, so the truck and the motorcycle were on the road for 4 hours until they met.

Motorcycle in 4 hours at a constant speed of 45 mph travelled

45\cdot 4=180\ miles

The distance between the motorcycle and the truck is 348 miles, so the truck travelled

348 -180=168\ miles

If x mph is truck's speed, then

168=4\cdot x\\ \\x=\dfrac{168}{4}=42\ mph

7 0
3 years ago
Solo Savings Bank received an initial deposit of $6000. It kept a percentage of this money in reserve based on the reserve rate
Sindrei [870]

ANSWER:

Reserve rate = 1.03%

Step by step explanation:

Initial amount = $6000

Total sum = $2,00,000

A G.P(geometric progresssion) series is formed with initial value = 6000

Since the depositing cycle continues infinitely, therefore the sum of G.P formula will be taken for infinite values

S= a\1-r

where s= 2,00,000 (sum)

a=6000  (initial amount)

r= ratio (reserve rate)

2,00,000=   6000\1-r

r = 1.03 %

8 0
3 years ago
Read 2 more answers
What number is 75 percent of 64
lora16 [44]
75% = 75/100 = 3/4

64*3/4 = 48
5 0
3 years ago
Read 2 more answers
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