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scZoUnD [109]
3 years ago
11

Solve 3x+11= k for x.

Mathematics
2 answers:
stealth61 [152]3 years ago
6 0

Answer:  the correct option is (D) x=\dfrac{k-11}{3}.

Step-by-step explanation:  We are given to solve the following equation for the value of x :

3x+11=k~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To solve the given equation for x, we need to take x on one side and all other terms on the other side of the equality.

The solution of equation (i) is as follows :

3x+11=k\\\\\Rightarrow 3x=k-11\\\\\Rightarrow x=\dfrac{k-11}{3}.

Thus, the required value of x is x=\dfrac{k-11}{3}.

Option (D) is CORRECT.

Sphinxa [80]3 years ago
3 0
 x =k − <span>11divided by 3
This is the answer to your problem 
</span>
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Write Equivalent Fractions
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Answer:

Step-by-step explanation:

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:

Fraction - like 2/3 or 15/16

Mixed number - like 1 1/2 or 4 5/6

Integer - like 5 or 28

What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

How to Find Equivalent Fractions

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

Example Equivalent Fractions

Find fractions equivalent to 3/4 by multiplying the numerator and denominator by the same whole number:

34×22=68

34×33=912

34×44=1216

34×55=1520

34×66=1824

Therefore these are all equivalent fractions:

34=68=912=1520=1824

Note that if you reduce all of these fractions to lowest terms, they equal 3/4.

For additional fraction help see our Fractions Cal

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3 years ago
Ana is a scuba diver who has completed 5 dives for a total depth of 230 feet. Choose an equation using integers to represent the
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Answer:

Step-by-step explanation:

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Misha Larkins [42]

Answer:

s(t) = 2t^2-3t

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t = [3 +- sqrt(9-4*2*-19)]/4

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t = [3+12.6886]/4

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Step-by-step explanation:

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What is the missing reason in the proof?
uranmaximum [27]

subtraction property of equality

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4 years ago
Read 2 more answers
Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the
Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given h=1+2s where h is the hypotenuse and s is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with h, "is" with =, "1 foot more than" with 1+ and finally "twice the length of the shorter leg" with 2s.

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with L.

I'm going to replace "is" with =.

I'm going to replace "7 feet longer than the shorter leg" with 7+s.

So we have the equation L=7+s.

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: s^2+L^2=h^2.

Let's make some substitutions from above:

s^2+(7+s)^2=(1+2s)^2

Let's expand the powers using:

(a+b)^2=a^2+2ab+b^2

Applying this now:

s^2+(49+2(7)s+s^2)=(1+2(1)(2s)+(2s)^2)

s^2+49+14s+s^2=1+4s+4s^2

Combine like terms on right hand side:

2s^2+49+14s=1+4s+4s^2

Subtract everything on left hand side to get 0 on that side:

0=(1-49)+(4s-14s)+(4s^2-2s^2)

Simplify:

0=(-48)+(-10s)+(2s^2)

Reorder into standard form for a quadratic:

0=2s^2-10s-48

Every term is even and therefore divisible by 2. I will divide both sides by 2:

0=s^2-5s-24

I'm going to see if this is factoroable.

We need to see if we can come up with two numbers that multiply -24 and add up to be -5.

Those numbers are -8 and 3.

So the factored form is:

0=(s-8)(s+3)

This implies that either s-8=0 os s+3=0.

The first equation can be solved by adding 8 on both sides: s=8.

The second equation can be solved by subtracting 3 on both sides: s=-3.

The only solution that makes sense for s is 8 since it can't the shorter length cannot be a negative number.

s=8

L=7+s=7+8=15

h=1+2s=1+2(8)=1+16=17

So the dimensions of the right triangle are:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

6 0
4 years ago
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