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Paha777 [63]
3 years ago
6

Mary had a number of cookies. after eating one, she gave half the remainer to her sister. after eating another cookie, she gave

half of what was left to her brother. mary now had only five cookies left. how many cookies did she start with?
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0
She originally started with 23. 

We can tell this by working the equation backwards. Since she has 5 left and she had just given half to her brother, we know she had 10 a moment ago. 

Before that, Mary had eaten a cookie. So we add 1 to the total and now have 11.

Before eating that cookie, she has given half to her sister, which would give her 22. 

And before giving half to her sister, she had eaten the first one, which would give us 23 to start with. 
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Maksim231197 [3]

Answer:

(x + 2) (5x + 3)(5x - 3)

Step-by-step explanation:

25x^2(x+2)-9(x+2) \\  \\  = (x + 2)(25 {x}^{2}  - 9) \\  \\  = (x + 2) \{  ({5x})^{2}  -  {(3)}^{2}  \} \\  \\  = (x + 2) \{(5x + 3)(5x - 3) \}\\  \\  =  \purple{ \bold{(x + 2) (5x + 3)(5x - 3) }} \\ are \: the \: required \: factors

7 0
2 years ago
Mke y the subject of the formula.<br> w=x^2-2yz
charle [14.2K]

Answer:

W = x^2 - 2yz / - w

0 = x^2 - 2yz - w / +2yz

2yz = x^2 - w // 2z

y = (x^2 -w ) / 2z

So correct answer is D

7 0
2 years ago
Factor the polynomial expression 16y^4 - 625x^4
Helga [31]

Answer:

(25x2 + 4y2) (5x + 2y) (−5x + 2y)

Step-by-step explanation:

Factor 16y4−625x4

−625x4 + 16y4

=(25x2 + 4y2) (5x + 2y) (−5x + 2y)

6 0
3 years ago
What is the y intercept of this line y+4=-4(x-2)
Alex_Xolod [135]
Y + 4 = -4 (x - 2)

Y - INTERCEPT:
y + 4 = -4 ((0) - 2)
y + 4 = -4 (-2)
y + 4 = 8
y = 4
(0, 4)

STANDARD FORM:
Ax + By = C
y + 4 = -4x + 8
4x + y + 4 = 8
4x + y = 4

X INTERCEPT:
(0) + 4 = -4 (x - 2)
4 = -4 (x - 2)
4 = -4x +8
-4 = -4x
x = 1
(1, 0)

PERPINDICULAR LINE:
y + (1) = (1/4) (x - (5))
y + 1 = 1/4x - 5/4
-1/4x + y + 1 = -5/4
-1/4x + y = -9/4
x - 4y = 9

X INTERCEPT OF PERPINDICULAR LINE:
x - 4(0) = 9
x - 0 = 9
x = 9
(9, 0)

PARALLEL LINE:
y + (-2) = -4 (x - (0))
y - 2 = -4x + 0
4x +  y - 2 = 0
4x + y = 2

ORDERED PAIR FOR PARALLEL LINE:
4(-2) + y = 2
-8 + y = 2
y = 10
(-2, 10)
4 0
3 years ago
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800
Ahat [919]

Answer:

The 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

The 41 week gestation's period baby weighs relatively less.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean \mu and standard deviation \sigma, the z-score of a value X is given by:

Z = \frac{X - \mu}{\sigma}

The zscore represents how many standard deviations the value of X is above or below the mean \mu.

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams. A 32-week gestation period baby weighs 2450.

Here, we have \mu = 2700, \sigma = 800, X = 2450.

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2450 - 2700}{800}

Z = -0.31

A negative z-score indicates that the value is below the mean.

So, the 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 385 grams. A 41 week gestation period baby weights 2650 grams.

Here, we have \mu = 2900, \sigma = 385, X = 2650

Z = \frac{X - \mu}{\sigma}

Z = \frac{2650 - 2900}{385}

Z = -0.65

So, the 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

Which baby weighs relatively less?

The 41 week gestation's period baby has a lesser z-score, so this means that he weighs relatively less.

8 0
3 years ago
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