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lions [1.4K]
2 years ago
15

Can someone help me with this please?!

Mathematics
1 answer:
posledela2 years ago
7 0

Answer:

x < 6

Step-by-step explanation:

1) -5x > -30

2) divide both sides by -5

3) flip the sign as we divided inequality by a negative

4) x < 6

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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
Ivan

Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

------------

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245

6 0
3 years ago
Read 2 more answers
The diameter of a circular garden is 22 feet. What is the approximate area of the shaded region
SOVA2 [1]

Answer:

Step-by-step explanation:

The radius it .5 of the diameter so in this case the radius is 11.  The formula for area is pi*r^2= pi*11^2=pi*121=380.13

7 0
3 years ago
Read 2 more answers
Seqouya has 1/2 of a liter of apple juice which fills 1/3 of her glass. How many glasses will 1 liter of apple juice fill
zavuch27 [327]

Answer:

2/3 of her glasses

Step-by-step explanation:

If 1/2 liter apple juice fills 1/3 of her glasses, then twice that volume will fill twice as many glasses:  2/3 of her glasses.

4 0
3 years ago
What is the expanded 97,367
Ivahew [28]

Answer:

Expanded Notation Form:

 97,367 =

 90,000  

+ 7,000  

+ 300  

+ 60  

+ 7  

Expanded Factors Form:

   97,367 =

 9 × 10,000  

+ 7 × 1,000  

+ 3 × 100  

+ 6 × 10  

+ 7 × 1  

Expanded Exponential Form:

 97,367 =

9 × 104

+ 7 × 103

+ 3 × 102

+ 6 × 101

+ 7 × 100

3 0
3 years ago
Read 2 more answers
What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi
Sphinxa [80]

Answer:

15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by V=s^2\cdot h, where s is the base length and h is the height. Substituting given values, we have: V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}

The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

8 0
3 years ago
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