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ololo11 [35]
3 years ago
8

What is the solution of -5x > 25?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0
<span>Divide both sides by -5.
</span><span><span>−<span>5x /</span></span><span>−5  </span></span>>  <span>25 /<span>−<span>5


ANSWER: X < - 5

</span></span></span>
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8. A carpenter cut the top section of a window frame with a 37 degree angle on each end. The side pieces each have 50 degree ang
marshall27 [118]

Answer:

I will assume that the end of the top section if it were cut at 0 degrees would be cut at right angles to the length of the section.  

Joining a top section with a 37 degree end angle to a side piece with a 50 degree end angle will result in the length of the side piece being at an angle of  

37 + 50 = 87 degrees to each other.  

The same will be true for the other side.  

If the sides were parallel, then going up one side, across the top and then down the other side will result in a change of direction of 180 degrees. However, in this frame the direction turns 87 degrees at the first top corner and another 87 degrees at the second top corner. This is a total of  

87 + 87 = 174 degrees instead of 180 degrees.  

The two sides diverge at an angle of  

180 - 174 = 6 degrees from each other as they extend downwards from the top of the frame

Step-by-step explanation:

4 0
3 years ago
Milk is a good source of many vitamins that can help us stay healthy. FDA recommends that the average vitamin A concentration fo
Lelechka [254]

Answer:

The degrees of freedom for this sample are 27.

The sample size to get a margin of error equal or less than 0.3656 is n=4450.

Step-by-step explanation:

The degrees of freedom for calculating the value of t are:

df=n-1=28-1=27

With 27 degrees of freedom and 95% confidence level, from a table we can get that the t-value is t=2.052.

The sample size to get a margin of error equal or less than 0.3656 can be calculated as:

MOE=t\cdot s/\sqrt{n}\\\\n=\left(\dfrac{t\cdot s}{MOE}\right)^2=\left(\dfrac{2.052\cdot 11.8841}{0.3656}\right)^2=66.7^2\\\\\\n=4449.13\approx4450

6 0
3 years ago
A shop has a sale that offers 20% off all prices.On the final day reduce all the sale prices by 25%.Linz buys a radio on the fin
Mrac [35]

Answer:

40%

Step-by-step explanation:

Original price = x

Sale = 20% off

20% / 100 = 0.2 to convert from a percent to a decimal

Sale = x - 20% of x = x - 0.2x = 0.8x

Sale price = y = 0.8x

Reduction of sale prices = 25% = 0.25

Reduction = y - 25% of y = y - 0.25y = 0.75y

End price in terms of original price (x):

0.75y = 0.75(0.8)x

          = 0.6x

End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction

5 0
2 years ago
What is the value of c in the equation below? 2^-4(2^2)=a^b=c
Triss [41]

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

So for this question :

{2}^{ - 4}  \times  {2}^{2}

=  {2}^{ - 4 + 2}

=  {2}^{ - 2}

{a}^{b}  = c \\ c =  {2}^{ - 2}

c =  \frac{1}{ {2}^{2} }

c =  \frac{1}{4}

5 0
2 years ago
Find the sum of the first 5,000 odd numbers
Nata [24]

Step-by-step explanation:

this is an arithmetic sequence :

a1 = 1

an = an-1 + 2 = a1 + (n-1)×2

the sum of n terms of an arithmetic sequence is

S = n×(a1 + an)/2

n = 5000

an = a1 + 4999×2 = 9999

S = 5000×(1 + 9999)/2 = 5000×5000 = 25,000,000

4 0
1 year ago
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