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Monica [59]
3 years ago
13

Solve 27 and 29, will give BRAINLIST!!

Mathematics
2 answers:
otez555 [7]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

27.

We can use ratios to solve

152 dollars     532 dollars

---------------- = ----------------

4 days              x days

Using cross products

152x = 4*532

152x =2128

Divide each side by 152

152x/152 = 2128/152

x =14

14 days

29.

1 inch        2/3 inches

------------ = ----------------

6.5 ft          x ft

Using cross products

1x = 2/3 * 6.5

x = 4.333333

c = 4 1/3 ft

sattari [20]3 years ago
3 0

Answer:

\Large \boxed{\mathrm{27. \ 14 \ days}}  \\ \\ \Large \boxed{\mathrm{29. \ 4 \frac{1}{6} \ feet}}

Step-by-step explanation:

(27)

We can apply ratios to solve for the problem.

Let x be the missing value.

\displaystyle \frac{152}{4} =\frac{532}{x}

Cross multiply.

152 × x = 532 × 4

152x = 2128

Divide both sides by 152.

x = 14

(29)

We can apply ratios to solve for the problem.

Let x be the missing value.

\displaystyle \frac{1}{6\frac{1}{4} } =\frac{\frac{2}{3} }{x}

Cross multiply.

1 × x = 6 1/4 × 2/3

x = 6 1/4 × 2/3

Convert mixed fraction to improper fraction.

x = 25/4 × 2/3

x = 50/12

Simplify.

x = 25/6 or 4 1/6

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The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d
Ad libitum [116K]

Answer: a. 0.14085

b. 3.826 x 10^{-3}

c.  0.5437

d. 0.0811  

Step-by-step explanation:

Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , \mu = $527

Given standard deviation , \sigma = $160

Let X = amount spent on a randomly selected child

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

a. Probability(X>$700) = P(\frac{X-\mu}{\sigma} > \frac{700-527}{160}) = P(Z>1.08125) = 0.14085 {Using Z % table}

b. P(X<100) = P( Z < \frac{100-527}{160}) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 10^{-3}

c. P(450<X<700) = P(X<700) - P(X<=450)

   P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592

   P(X<=450) = P(Z<= \frac{450-527}{160}) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155

   So final   P(450<X<700) =  0.8592 - 0.3155 = 0.5437

d. P(X<=300) = P(Z<= \frac{300-527}{160}) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811                                                                        

All the above probabilities are calculated using Z % table along with interpolation between two values.

7 0
3 years ago
(Long division)<br><img src="https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20" id="TexFormula1" title=" \\ \\ " alt=" \\ \\ "
pav-90 [236]

Answer:

hope it's helpful

┐( ∵ )┌

7 0
2 years ago
What is 7.5% less than 120
nordsb [41]

Answer:

  • 111

Step-by-step explanation:

<u>7.5% less than 120 </u>

  • 120 - 7.5% of 120 =
  • 120(1 - 7.5/100) =
  • 120*0.925 =
  • 111
6 0
2 years ago
Solve each equation:
omeli [17]
You sure seem to be asking a lot of questions lately. I'd like to see that you've been trying with these problems at least because if you can't get that first one it's almost like you missed the whole lesson.

1. 20 = 4b + 7 + 5
Add the 7 and 5.
20 = 4b + 12
Subtract 12 from each side.
8 = 4b
Divide each side by 4.
2 = b

2. 7 = 6k - 7k
6k - 7k = -1k. (the k acts as a sort of unit)
7 = -1k
Divide each side by -1.
-7 = k

3. 3.23 - 2m = 3 - 2(5m - 2)
Distribute the ×-2 to each term inside the parentheses.
3.23 - 2m = 3 - 10m + 4
Add the 3 and 4.
3.23 - 2m = 7 - 10m
Add 10m to each side.
3.23 + 8m = 7
Subtract 3.23 from each side.
8m = 3.77
Divide by 8.
m = 0.47125

4. -88/45=1/3r+2/5r
To get rid of the fractions, let's multiply everything by 45.
-88 = 15 + 18r
Subtract 15 from each side.
-103 = 18r
Divide by 18.
-103/18 = r
As a mixed number, r = -5 and 13/18
As a decimal, r = -5.7222...
6 0
3 years ago
On a number line 7.29 and -7.29 are the same point. true or false
zlopas [31]
Answer should be False
8 0
2 years ago
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