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2 years ago

Solve for x ....... thanks !

Mathematics

1 answer:

Len [333]2 years ago

8 0

If we can match teh bases we can solve
because if x=x and xᵃ=xᵇ, we can conclude that a=b

16=2⁴
32=2⁵
rememeber that $(x^m)^n=x^{mn}$

$16^{3x+2}=32^{-2x-7}$
$(2^4)^{3x+2}=(2^5)^{-2x-7}$
$2^{4(3x+2)}=2^{5(-2x-7)}$
2=2 so we conclude that 4(3x+2)=5(-2x-7)

4(3x+2)=5(-2x-7)
expand/distribute
12x+8=-10x-35
add 10x both sides
22x+8=-35
minus 8 both sides
22x=-43
divide both sides by 22
x=-43/22

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2 years ago

A concert cleanup crew has 6 workers and one cleanup kit.

myrzilka [38]

Answer:

Option (D)

Step-by-step explanation:

At every 6 crew workers number of clean up kits required = 1

Therefore, for 1 crew worker number of kits required = $\frac{1}{6}$

And number of kits required for w workers = $\frac{w}{6}$ = w ÷ 6

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Number of kits required = $\frac{54}{6}=9$

If w = 60

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If w = 66

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6 0

2 years ago

Pleaseeeee anyone want to help me on this??? WILL MARK BRIANLIEST

wel

Answer:

The Length of JK is 10

Step-by-step explanation:

Because <J is congruent to <L we know that the triangle in question must be isosceles as in an isosceles triangle two angles opposite of each other are equal. (This is also true for equilateral triangles, however, in an equilateral triangle all sides must be congruent, so we can rule equilateral out as LJ is not congruent to KL.) This means that the triangle must be isosceles.

In an isosceles triangle the side opposite each other are congruent, and the angles opposite each other are congruent when split down the line of symmetry.

Therefor, the length of JK must be congruent to the length of KL. In other words if JK = 10, then KL must equal 10 as well.

4 0

2 years ago

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther

rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle Dimes Quarters

2 3

2 5

So, it becomes ,

Nickle : Dimes : Quarters

2×2 : 3×2 : 3×5

4 : 6 : 15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

According to question,

$4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20$

So, number of nickels is given by

$4x=4\times 20=80$

Number of dimes is given by

$6x=4\times 20=120$

Number of quarters is given by

$15x=4\times 20=300$

As we know that

$1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents$

So, According to our question, we get

$80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.$

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.

7 0

2 years ago