2/3 (4x + 3) = 1/4 (3x - 15)

Answer:

z = 56

Step-by-step explanation:

z = 7(8)

[tex]\dfrac{2x-3}x = \dfrac{14}{x+5}\\\\\implies (2x-3)(x+5) = 14x\\\\\implies 2x^2 +10x -3x -15 -14x=0\\\\\implies 2x^2-7x-15=0\\\\\text{Apply quadratic formula,}~~x= \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}.\\\\\text{In this case,}~ a=2, b=-7~ \text{and}~ c = -15. \\\\\\x = \dfrac{-(-7) \pm \sqrt{(-7)^2 -4\cdot 2 \cdot (-15)}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{7 \pm 13}4\\\\\\[/tex]

[tex]\text{Hence} ~x = \dfrac{7+13}{4} = \dfrac{20}4 = 5 ~\text{or}~ x = \dfrac{7-13}4 = -\dfrac{6}4 = -\dfrac 32[/tex]

Answer:

1029384756 x 55

= 56616161580

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt{36x^3y^4}}{2x^{2/3}y^{-4}}=\frac{6x^{3/2}y^2}{2x^{2/3}y^{-4}}=3x^{5/6}y^6[/tex]

a=3, b=5/6, c=6

3*(5/6)*6= 15

Answer:

0.8 km per day

Step-by-step explanation:

5 3/5 is the same as 5.6, so

5.6/7

= 0.8 km per day

Answer:

4 are left. or 1/3 are left

Answer:

Step-by-step explanation:

Formula

tn = a1 + (n-1)* d

Givens

tn = 67 (it is the last term or the nth term

n = 10

a1 = 4

find d

Solution

67 = 4 + (10 - 1)*d

67 = 4 + 9*d               Subtract 4 from both sides

67 - 4 = 9d            

63 = 9d                      Divide by 9

63/9 = 9d/9              

7  = d

Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.

Answer:

62.5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

-7x-3x+2= -8x - 8

Add like terms

-7x-3x=-10x

-10x+2=-8x-8

+8x       +8x

-2x+2=-8

     -2  -2

-2x=-10

Divide by -2 to isolate the variable

x=5

Answer:

Step-by-step explanation:

what is the answer to the equation

-7x - 3x + 2= -8x - 8

-7x - 3x + 8x = -10

2x = -10

x = 5

----------------------

check

-7 * 5 - 3 * 5 + 2 = -8 * 5 - 8

-48 = -48

the answer is good

Answer:

No factors.

3 - x^2 is prime.

Step-by-step explanation:

Answer:

A - Exponential

Step-by-step explanation:

Exponential is the best fitting model because there's a $500 raise in salary each year, so $500 is added to the salary of the previous year.

Dynamite blue fire red grape purple

40 dollars

Step-by-step explanation:

Answer:

y = 8 + 4x

Step-by-step explanation:

y is the total cost of 1 skating experience.

y = 8 + 4x

This can be read as:  the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented.  No snacks included.

Answer:

                            6 -2y =4y + 8

Answer: 6 -2y =4y + 8

Step-by-step explanation:

Answer:

N/A; 32; -8

Step-by-step explanation:

4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest

5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32

6) -6m+6+6=4-7m, so m=-8

Answer:

Point B is

Step-by-step explanation:

Answer:

B (-2,-4)

Step-by-step explanation:

Answer:

P=25

Step-by-step explanation:

Answer:

29/4

Step-by-step explanation:

7 x 4 = 28

28 + 1

hope that helps!

Answer:

29/4

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

4 × 7 = 28

Step 2

Add the answer from Step 1 to the numerator

28 + 1 = 29

Step 3

Write answer from Step 2 over the denominator

29/4

Hope this helps!:)

Answer:

1/200000

Step-by-step explanation:

first 10 km equals to 1000000cm

so 5/1000000cm

equals to 1/200000

The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.

The transformation rule is given as:

[tex](x,y) \to (-x,y)[/tex]

When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:

[tex]H'A'M' = (-x,y)[/tex]

So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.

This, in other words means that the y-axis bisects the line segment AA'.

Hence, the relation between the segment and the y-axis is (c)

Read more about reflection at:

https://brainly.com/question/1600006

Answer:

C. The y-axis is a bisector of the segment drawn.

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

5% of my 20000 is 1000 so 21000 total or 1000 anually

Answer:

graph the slope and the -2

Step-by-step explanation:

first, plot a point at (0,-2) because of the -2 as the y intercept

then, start graphing ur slope

ur next points should be

(2,-1), (4,0) (6,1) and so on

Answer:

15.6

Step-by-step explanation:

10.7+4.9=15.6

Answer:

15.6

Step-by-step explanation: I took the test

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

and that we use in the second equation

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she was working 14 hours on job A and 9 hours on job B.

Answer:

she is rich

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3(x +1) =3x +3

Plug it in

3(5+1)=3(5)+3

3(6)=15+3

18=18

Using proportions, it is found that his DAILY RATE on that particular day is of Php 2,420 .

The rule of three is:

8 hours - Php 1420

14 hours - x

Applying cross multiplication:

[tex]8x = 1420 \times 14[/tex]

[tex]x = \frac{1420 \times 14}{8}[/tex]

[tex]x = 2485[/tex]

The closest option is Php 2,420.

A similar problem is given at https://brainly.com/question/24372153

Answer:

16z

Step-by-step explanation:

z = the unknown number of pounds

16 ounces in 1 pound.

So  z pounds =  16z    

or   it can be given as a proportion;

[tex]\frac{16 ounces}{1 pound} (z)[/tex]