Solve the following for x :
y+x=z

a. x = yz
b. x = z - y
c. x = y - z
d. x = z/y

Explain.

9514 1404 393

Answer:

  4y

Step-by-step explanation:

There are an infinite number of equivalent expressions. One of them can be obtained by combining the terms

  y -(-3y) = y +3y = y(1 +3) = 4y

__

All of the expressions shown as equal are equivalent.

Answer:

3.4×10⁴

Step-by-step explanation:

1.6×10⁴=1.6×10000=16000

5×10⁴=5×10000=50000

5000-16000=34000

=3.4×10⁴

Answer:

[tex]7[/tex]

Step-by-step explanation:

We see that the circle is centered at [tex](1, 0)[/tex]. We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.

We know that the circle intersects the x-axis at [tex](8, 0)[/tex]. Therefore the radius of the circle is the distance between these points, in this case [tex]8-1=7[/tex].

So, the answer is [tex]\boxed{7}[/tex] and we're done!

Answer:

I think it is d or a. I might be wrong sorry

Step-by-step explanation:

Answer: 15km, 7.5kmh

Step-by-step explanation:

a. Distance travelled = speed * time = 15* 1 =15km

b. Distance = 15

time = 2hrs

Speed = distance/time = 15/2 = 7.5kmh

Problem

3.2x-1.7x+5.5=10

Steps:

1.5x + 5.5 = 10

1.5x X 10 + 5.5 X 10 = 10 X 10

15x + 55 - 55 = 100 - 55

15x = 45

15x/15 = 45/15

x = 3

Therefore questions ones answer is x = 3

Problem

3/4x-1/4x+14=3

Steps:

3/4x - 1/4x + 14 = 3

3/4x - 1/4x + 14 - 14 = 3 - 14

3/4x - 1/4x = -11

3/4x X 4 - 1/4x X 4 = -11 X 4

2x = -44

2x/2 = -44/2

x = -22

Therefore question two's answer is x = -22

Problem

3(2x+1)+x=-39

Steps:

7x + 3 = -39

7x + 3 - 3 = -39 - 3

7x = -42

7x/7 = -42/7

x = -6

Therefore question three's answer is  x = -6

Problem

m+4(2m-3)+-3

Steps:

= m + 4 (2m - 3) - 3

= m + 8m - 12 - 3

= 9m - 15

Therefore question four's answer is 9m - 15

Answer:

A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.

a. using the formula d = rt, so 32.12 m = 8.8m/min (t)

b. it is reasonable to write the distance as positive because the diver is accending/ going up the surface

c. t = 32.12/ 8.8 = 3.65 min

Step-by-step explanation:

hope this helps

Answer:

19.5

Step-by-step explanation:

3r+(7+8)/(t-3)

3(4)+(15)/(5-3)

12+(15/2)

12+7.5

19.5

Answer:

3:7

Step-by-step explanation:

The number of triangles is 6.

The number of squares is 8.

The total number of shapes is 14.

The unsimplified ratio of triangles to total shapes is 6:14.

The bigger number that both 6 and 14 can be divided by is 3.

That makes the ratio 3:7, and it cannot be simplified further.

Step-by-step explanation:

the explantion is in the photo

Answer:

1/2

Step-by-step explanation:

Your equation is 16-2^3/16

First, you find out what 2^3 is equal to

2 x 2 x 2=8

Your equation will then be 16-8/16

Next, you subtract 8 from 16

16-8=8

Your equation will then be 8/16

divide both 8 and 16 by 4

8/4=2, 16/4=4

=2/4

You then simplify 2/4 to it's lowest terms

2/2=1 , 4/2=2

=1/2

Answer:

Answer:929

Step-by-step explanation:

Step-by-step explanation:For every 11 children, 7 will have homes

Answer:

7x ³⁹¹

Step-by-step explanation:

1: "x3" was replaced by "x^3".

Answer:

[tex](-\infty, \infty)[/tex]

Step-by-step explanation:

There are no restrictions on the possible values of [tex]x[/tex], because you can square any number.

Because [tex]x[/tex] can be anything, the domain is all reals or [tex]\boxed{(-\infty, \infty)}[/tex] which means [tex]x[/tex] can be any real number.

Step-by-step explanation:

Arithmetic Sequnce in our daily life

The knowledge of calculating the nth term of a sequence can be very helpful. Calculating loans, discounts, salary, savings are some of the use of arithmetic method. If I save P5 per day for 5 years, I can simply use arithmetic sequence to find how much I saved from day 1 to last. Salary increase can also be solved using arithmetic sequence. Below is an example.

Sample real life problem:

1. I earn P300 on the first day. After each succeeding day, I earn P2 more than the previous day. How much should I be able to earn after 30 days?

In this situation, I would use the arithmetic sequence formula which is:

an = a1 + (n - 1)d

an is the nth term

a1 is the first term

n is the term position

d is the common difference

Lets subsitute:

an = P300 + (30 - 1)P2

an = P358

I should earn P348 at the end of 30 days

Answer:

[tex]y = - \frac{2}{3} x + 1[/tex]

Step-by-step explanation:

2x +3y= 5

3y= -2x +5

Divide both sides by 3:

[tex]y = - \frac{2}{3} x + \frac{5}{3} [/tex]

[tex]y = - \frac{2}{3} x + 1 \frac{2}{3} [/tex]

Now that the equation is in the slope-intercept form (y= mx +c), the slope of the given line is the coefficient of x.

[tex]slope = - \frac{2}{3} [/tex]

Parallel lines have the same slope.

Slope of unknown line= -⅔

y= -⅔ +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 3, y= -1,

[tex] - 1 = - \frac{2}{3} (3) + c[/tex]

-1= -2 +c

c= -1 +2

c= 1

Thus, the equation of the line is y= -⅔x +1.

Step-by-step explanation:

Perimeter of the quadrilateral = sum of the length of all the four sides. Note: Missing side of the quadrilateral = Perimeter of the quadrilateral - Sum of the length of three sides.

Answer:

Get the perimeter of the each shape and add it all up to get the total fencing material required. 2 square flower beds = 2 x 4a = 8a 1 rectangular play ground = 2l + 2w  total fencing material = 8a + 2l + 2w  

Answer:

2l + 2w + 8a

Step-by-step explanation:

Answer: 8lbs

Step-by-step explanation:

The baby gained one pound

Assuming linear growth, the baby would weigh approximately 8 lbs after 4 weeks.

Assuming linear growth, we can use the concept of a slope to estimate the baby's weight after 4 weeks.

Given information:

Weight at birth (0 weeks): 7 lbs

Weight after 20 weeks: 12 lbs

We can calculate the rate of change (slope) of the baby's weight per week:

Slope = (Change in weight) / (Change in weeks)

Slope = (12 lbs - 7 lbs) / (20 weeks - 0 weeks)

Slope = 5 lbs / 20 weeks

Slope = 0.25 lbs/week

Now, using the slope, we can estimate the baby's weight after 4 weeks:

Estimated weight change = Slope * Number of weeks

Estimated weight change = 0.25 lbs/week * 4 weeks

Estimated weight change = 1 lb

So, the baby's weight after 4 weeks would be the initial weight (7 lbs) plus the estimated weight change (1 lb):

Estimated weight after 4 weeks = Initial weight + Estimated weight change

Estimated weight after 4 weeks = 7 lbs + 1 lb

Estimated weight after 4 weeks = 8 lbs

Learn more about linear equation

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Answer:

3 4/5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Move the terms : 2x + 1 =10 -x

Collect like terms

Calculate : 2x + x=10-1

Divide both sides

3x = 9

x = 3

Answer:

f(5) = -6

Step-by-step explanation:

Answer:

[tex]y = - \frac{1}{2} x + \frac{9}{2} [/tex]

Step-by-step explanation:

find the y-intercept

[tex]3 = - \frac{1}{2} (3) + b \\ 3 = - \frac{3}{2} + b \\ \frac{6}{2} + \frac{3}{2} = b \\ b = \frac{9}{2} [/tex]

[tex]k(x) \times f(x)[/tex]

[tex](2x + 5) \times (x - 1)[/tex]

[tex]2 x(x - 1) + 5(x - 1)[/tex]

[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]

[tex] {2x}^{2} - 3x - 5[/tex]

________________________________

[tex]k(x) \times g(x) \times f(x)[/tex]

[tex]g(x) \times (k(x) \times f(x))[/tex]

[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]

[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]

[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]

Answer:

y = 3x - 2

Step-by-step explanation:

Parallel lines have the same gradient in this case 3 is the gradient.

We will use the point (2,4) to form our own equation.

4 will be y, 3 will be m, 2 will be x

All we need is to find the C in the equation y=mx + c

4 = 3(2) + c

4 = 6 + c

C = -2

Therefore;

y = 3x - 2

Answer:

0.8413

Step-by-step explanation:

bad explainer srry

Answer:

Step-by-step explanation:

[tex](\frac{115-100}{15})=1[/tex]

because we're looking for the zscore associated with it being greater than we flip the sign

so the answer is just -1

Answer:

Each book weighs 2.5 pounds.

Step-by-step explanation:

75/2.5 is 30.  Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.

Answer:

2.5lb

Explanation:

In equation form the question is asking for x in

[tex]30(x) = 75[/tex]

Since multiplication is reversible (to be division), we can switch the equation up.

[tex]75[/tex] ÷ [tex]30 = x[/tex]

So the answer is

[tex]75[/tex] ÷ [tex]30 = 2.5[/tex]

B. The submarine is 125 feet below sea level.

Step-by-step explanation:

-124 feet because - (negative) means the submarine is 124 meters below sea level (masl).

Answer:

The elevation of a submarine with respect to sea level is displayed as - 125 feet. Which statement is correct?

A. The submarine is 125 feet above sea level.

B. The submarine is 125 feet below sea level.

C. The submarine is -125 feet above sea level.

D. The submarine is -125 feet below sea level.

Step-by-step explanation:

Answer:

i don't know

im kinda silly lol lol lol lol lol lol lol lol lol

(brainly says i need more letters so here)

7/8

Answer:$8.25 ÷ 3= x or 3·x =8.25

Step-by-step explanation:

3*x=8.25