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3 years ago

Euler has 3/4 of a packet of cookies. He eats 1/2 of them and has 6 cookies left. How many were in

1 answer:

3 0

So 1/2 of 3/4 is 3/8 which is equal to 6 cookies ( or 3/8 of a packet has 6 cookies)
So if we say a packet of cookies = X
and we know 8/8 of a packet of cookies = 1 full packet of cookies
( 8/8 of a packet or 1 full packet has X cookies )
Then 3/8 divided by 8/8 = 6/X
3/8 = 6/X
X = 6 divided by 3/8
X = 16
So there should be 16 cookies in a full packet

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The square root of 9x plus 7 plus the square rot of 2x equall to 7

Oliga [24]

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=2

4 0

3 years ago

Write the ratio as fraction in simplest form, with 16 gal to 72 gal

V125BC [204]

Answer:

2/9

Step-by-step explanation:

16/72 simplify in calculator =2/9

5 0

3 years ago

Read 2 more answers

A person sitting in the top row of the bleachers at a sporting event drops a pair of sunglasses from height of 24 feet. the func

MAVERICK [17]

Answer: square root of 3/2 seconds

Step-by-step explanation:

h=-16x²+24

Set the height to be 0

0=-16x²+24

-24=-16x²

24=16x²

24/16=x²

x²=3/2

x= square root of 3/2

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3 years ago

Read 2 more answers

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

4 years ago

Read 2 more answers

Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At Meadowbrook Hospital, the mean we

Marina86 [1]

Answer:

Required Probability = 0.1283 .

Step-by-step explanation:

We are given that at Meadow brook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 oz.

Firstly, standard deviation in lbs = 14 ÷ 16 = 0.875 lbs.

Also, Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution.

Let X = mean weight of the babies, so X ~ N( $\mu = 7 lbs , \sigma^{2} = 0.875^{2} lbs$ )

The standard normal z distribution is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, X bar = sample mean weight

n = sample size = 4

Now, probability that the average weight of the four babies will be more than 7.5 lbs = P(X bar > 7.5 lbs)

P(X bar > 7.5) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{7.5-7}{\frac{0.875}{\sqrt{4} } }$ ) = P(Z > 1.1428) = 0.1283 (using z% table)

Therefore, the probability that the average weight of the four babies will be more than 7.5 lbs is 0.1283 .

8 0

4 years ago