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Drupady [299]
2 years ago
15

Ben has a bag with 4 green counters 4 red counters and 12 white counters Ben takes a counter from the bag at random find the pro

bably that Ben takes out a green counter
Mathematics
1 answer:
zvonat [6]2 years ago
8 0
I’m not getting the question??
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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7
Minchanka [31]

Answer: x=-1

Step-by-step explanation:

By the negative exponent rule, you have that:

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

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

Therefore, you can rewrite the left side of the equation has following:

(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}

 Descompose 32 and 8 into its prime factors:

32=2*2*2*2*2=2^5\\8=2*2*2=2^3

Rewrite:

(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}

Then:

(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}

As the base are equal, then:

-3(2x+7)=5(3x)

Solve for x:

-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1

8 0
3 years ago
What is the equation of the line that goes through the point (6,-1) and is parallel to the line represented by the equation belo
stepladder [879]

\huge{\boxed{y=-\frac{5}{6} x+4}}

Parallel lines share the same slope, so the slope of the parallel line in this case must be -\frac{5}{6}.

Point-slope form is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is any known point on the line.

Plug in the values. y-(-1)=-\frac{5}{6} (x-6)

Simplify and distribute. y+1=-\frac{5}{6} x+5

Subtract 1 from both sides. \boxed{y=-\frac{5}{6} x+4}

6 0
3 years ago
Read 2 more answers
What is the value of y?
NeX [460]

The value of y in the triangle is 2√5

The triangle above is a right angle triangle.

Characteristics of a right angle triangle:

  • One of its angle is equals to 90 degrees
  • The sides can be found using Pythagoras theorem.

Using Pythagoras theorem

  • c² = a² + b²

where

c = hypotenuse(longest side)

a and b are the 2 other legs.

Therefore,

6² = 4² + y²

36 = 16 + y²

y² = 36 - 16

y² = 20

y = √20

y = 2√5

learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults

7 0
2 years ago
Read 2 more answers
PLEASE HELP<br>Is the function linear or nonlinear y=1/x ?<br><br> A. linear B. nonlinear
Rina8888 [55]
It's nonlinear.
..............
8 0
3 years ago
Read 2 more answers
Samuel has 3/4 ton of mulch to spread equally in 8 square yards. How many tons of mulch will be spread in each square yard
Vikki [24]

Answer:

0.09375 tons

Step-by-step explanation:

In this problem, it is given that Samuel has 3/4 tons of mulch i.e. 0.75 tons of mulch.

Again it is given that Samuel has to spread equally this amount of mulch in 8 square yards of the plot.

Since the mulch is spread uniformly, then we can say that in each square yard of the plot (0.75/8) = 0.09375 tons of mulch is been spread.

Therefore, 0.09375 tons of mulch will be spread in each square yard. (Answer)

6 0
3 years ago
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