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myrzilka [38]
3 years ago
9

Solve the equation for x. a. -10 b. 1 c. 1/10 d. -1

Mathematics
2 answers:
Olin [163]3 years ago
5 0

Answer:

x=-1

Step-by-step explanation:

6x(1/3)-15(1/3)=10x(1/2)-4(1/2)

6/3x-15/3=10/2x-4/2

2x-5=5x-2

-5+2=5x-2x

-3=3x

-3/3=x

-1=x

Mashcka [7]3 years ago
3 0

Answer:

2x - 5 = 5x - 2

3x = -3

x=-1

Step-by-step explanation:

Your welcome!!

Brainliest Please!!!

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Match the real-world problem to its constant of proportionality.
OleMash [197]

Answer:

6.12

1.39

4.12

12

Step-by-step explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by k = \frac{y}{x}

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is \frac{18.36}{3} = 6.12

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is \frac{4.17}{3} = 1.39

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is \frac{16.48}{4} = 4.12

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is \frac{24}{2} = 12 (Answer)

7 0
3 years ago
(1 point)
inn [45]
22 ft below sea level
5 0
3 years ago
Read 2 more answers
(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

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3 0
2 years ago
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after 1 month
Slav-nsk [51]

Yes, it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

<h3>Relationship between the amount saved and the number of months</h3>

After 1 month, Jane will  saved=$35+$100

After 1 month, Jane has saved=$135

Hence,

Let x represent  the number of months

Since every month she saved $35 which inturn means that in x number of months she can save 35x. Based on this the relationship between the amount saved and the number of months  is 35x +100.

Therefore it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

Learn more about  Relationship between the amount saved and the number of months here:brainly.com/question/13199011

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4 0
1 year ago
Given the function f(x)=3x-4/5 which of the below expressions is correct?
natta225 [31]
Is it an inverse function
4 0
3 years ago
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