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LenKa [72]
3 years ago
13

a pet store advertises a 30% off sale on dog crates. what is the regular price of a large crate that costs $85.50 on sale ?

Mathematics
1 answer:
lyudmila [28]3 years ago
8 0

Answer:

$285

Step-by-step explanation:

30% of 285 is 85.50

Hope this helps! :)

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Find all the missing elements. NEED HELP PLZZZZ
IgorC [24]

Answer:

  • B=42°
  • C=98°
  • c=10.7 units

Step-by-step explanation:

Given

  • Angle A = Ф = 40°
  • a=8
  • b=7

We know that trigonometric ratio as

  • sin Ф = opposite/hypotenuse
  • cos Ф = adjacent/hypotenuse
  • tan Ф = opposite/adjacent

as

sin A = sin 40 = opposite/hypotenuse

From the diagram, it is clear that the opposite of angle A is a=8 and the hypotenuse is 'c'.

also the angle

sin A = sin 40 = opposite/hypotenuse = a/c = 8/c

sin 40 = 8/c

c = 8/sin 40

c = 8/0.745

c = 10.7

so the value of c will be: 10.7 units

so

tan B = opposite/adjacent

         = b/a

         = 0.9

B=\tan ^{-1}\left(0.9\right)

   =42^{\circ \:}

Therefore, the value of B = 42^{\circ \:}

As the sum of the angles of triangle ABC is 180.

i.e.

A+B+C = 180

(40)° + (42)° + C = 180°

C = 180° - 40° - 42°

  = 98°

Therefore, the value of C = 98°

Hence,

  • B=42°
  • C=98°
  • c=10.7 units
7 0
3 years ago
A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
Gnoma [55]

Answer:

The lower quartile is Q_1=33 thousand dollars.

The median quartile is Q_2=39 thousand dollars.

The upper quartile is Q_3=45 thousand dollars.

Step-by-step explanation:

The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.

The median quartile is the median value of a data set at the 50th percentile of a distribution.

The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.

To locate each quartile in a data set, we follow four steps:

Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55

Step 2: The median is given by \frac{n+1}{2} where n is all scores in the data set.  

Because n = 10, the median position is \frac{10+1}{2}=5.5

The median is the average of the fifth and sixth positioned scores

Q_2=\frac{39+39}{2} =39

Step 3:  Compute \frac{n+1}{2} where n is all scores below Q_2.

For scores below Q_2, use only 23, 25, 33, 34, 39.

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_1=33

Step 4: Compute \frac{n+1}{2} where n is all scores above Q_2.

For scores above Q_2, use only  39, 44, 45, 48, 55

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_3=45

7 0
3 years ago
Is 84 a multiple of 8
serious [3.7K]
No because if you skip count by 8 you will not see any 84

8
16
24
32
40
48
56
64
72
80
88
...
3 0
3 years ago
X and Y intercept equations x +2y =18
Rufina [12.5K]

Answer:

(0,9) and (18,0)

Step-by-step explanation:

To find the x-intercept, set y = 0.  Note how this equation x + 2y = 18 becomes x = 18.  Thus, the x-intercept is (18,0).


To find the y-intercept, set x = 0.  Then 2y = 18, and y = 9.  The y-intercept is (0,9).

3 0
3 years ago
Solve for x<br><br><br> 6x−2(x+4)=12
aev [14]
To solve for x, we will begin by using the distributive property

6x - 2(x + 4) = 12

6x - 2x - 8 = 12

(always remember to sort your negatives!)

Add like terms 

4x - 8 = 12

Add 8 to both sides

4x = 20

Divide both sides by 4

x = 5
3 0
3 years ago
Read 2 more answers
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