Solve for x.
2/3 (x − 7) = −2

Answer:

56

Step-by-step explanation:

To find the "consequent," write out and solve an equation of ratios:

  3         x

------- = ------

  8         21

Through cross-multiplication, this yields  8x = 63, so that x must be x = 63/8.

Alternatively, solve this modified version of the original equation for x:

  3         21

------- = ------

  8          x

Then 3x = 8(21), or x = 8(7), or x = 56.

Note that 21 and 56 are in the ratio 3:8

Answer:

a = 32

b= 27

c = 9

Step-by-step explanation:

a= 5+ b from the second equation

c= b/3 from the third equation

substitute the above equations to the first equation then solve for b your answer will be 27

substitute the value of b in the second equation you will solve for a

perform the same substitution to the third equation you will get the answer for c

Step-by-step explanation:

a-b=5<=>a=5+b (1)

b:c=3<=>b=3c (2)

a+b+c=68<=>5+b+3c+c=68<=>5+3c+3c+c=68

<=>7c=63<=>c=9

Fill in (2), we have b=3c=3.9=27

and in (1), we have a=5+b=5+27=32

So, a=32, b=27, c=9

Answer:

C

Step-by-step explanation:

.........................

Answer:

B 12 ^ 1/2  x^ 3/2

Step-by-step explanation:

sqrt( 12x^3)

Rewriting the square root as a fractional power

12 ^ 1/2 x^3^1/2

We know that a^b^c = a^ (b*c)

12 ^ 1/2  x^ 3/2

Answer:

B. 12^1/2 x^3/2

Step-by-step explanation:

For example, x^3/2 is equivalent to √x³. The numerator of the exponent represents that number's exponent and the denominator represents the number root.

Answer:

angle A = Angle E

ΔCAB ≅ΔFED

Step-by-step explanation:

ASA  means Angle side Angle Where the side is between the two angles

We have an angle C= F  and a side AC = EF

We need angle A = Angle E

ΔCAB ≅ΔFED

Answer:

The correct answer is - 103.13

Step-by-step explanation:

Given:

Circumference (C) = 36

Area =?

Formula:

Formula of area

A=πr2

formula of circumference

C=2πr

Solution:

C= 36 given so

36 = 2*3.142*r (r is radius)

r = 36/6.284

= 5.729

Putting the value of r in the formula of Solving for Area

A = 3.142*(5.729)^2

= 3.142*32,821

= 103.1124 or 102.3

Answer:

£16,050

Step-by-step explanation:

Mark's current pay is £15,000.

His pay raise is 0.07(£15,000), or £1,050

His new pay is the sum of these two results:  £15,000 + £1,050 = £16,050

Answer:

7, 17, 37, 47, 73, 79, 97

Step-by-step explanation:

they have 7's as one of their digits

Answer:

it will take 18 min

Step-by-step explanation:

1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18

Answer:

225 lines    *  60 seconds   = 13500 lines = 4500 lines

3 Seconds     1   minute             3 minutes       1   minute

Step-by-step explanation:

umm I don't know hehe oops

Answer:

Length of old board = 68.2cm

Step-by-step explanation:

Let old board length be x

Given new board is 120 % longer than old board = x + 120% of x

Length of new board = 150cm

Therefore,

x + 120% of x = 150

[tex]x + \frac{120}{100} x = 150\\\\x + 1.20x = 150\\\\2.2x = 150 \\\\x = 68.18 = 68.2cm[/tex]

Answer:

Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Answer:

The answer is probably B. If not it might be C.

Step-by-step explanation:

Exponential growth is growth that becomes more and more rapid. I hope this helps :).

Answer:

21 is the answer

Step-by-step explanation:

from the figure it can be seen that

angle G = angle J

angle H = angle K and

angle I = angle L

thus triangle GHI is similar to triangle JKL and in 2 similar triangles the ratio of their corresponding sides is same. that means

[tex] \frac{hi}{kl} = \frac{gi}{jl} \\ \frac{18}{30} = \frac{x}{35} \\ x = \frac{18}{30} \times 35 \\ x = \frac{3}{5} \times 35 \\ x = 3 \times 7 \\ x = 21[/tex]

Answer:

29 times

Step-by-step explanation:

Given :

Society C ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society D:

Population = 19

Common fact = 5

Specialized fact = 5 * 10 = 50

Total facts = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society D is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

Answer:

4 miles apart. the answer this question.

==========================================================

Explanation:

The x intercepts (aka roots) are where the graph crosses or touches the x axis. These locations directly correspond to help set up the factors.

The root x = -6 shows that x+6 is a factor.

Effectively, we add 6 to both sides so that we go from x = -6 to x+6 = 0.

Answer:

29/60 of the crates are left behind.

Step-by-step explanation:

Total number of crates = 24 1/4= 97/4

Rotten tomatoes crates = 7 3/5= 38/5

Joe sold crates = 8 1/3= 25/8

Canned  crates of tomatoes =7 5/6= 47/6

Therefore

24 1/4 - 7 3/5 - 8 1/3 - 7 5/6

= 97/4-38/5-25/3-47/6

= (97*5-38*4)/20  - (25*2+47)/6

= 485-152/20 - 97/6

= 333/20-97/6

= 333*3-97*10/60

=999-970/60

=29/60

29/60 of the crates are left behind.

This question is solved in 2 steps.

First the LCM of fraction 1 and 2 is taken separately from the LCM of fraction 3 and 4 for simplification purposes.

Then again the LCM is taken for the answers obtained from fraction 1&2 and fraction 3& 4.

Answer:

Step-by-step explanation:

since there is no table included with the question I'm concluding that you need to find values of y using values of x, simply substitute the x values in the equation and you'll get the y value like this

if x = 1 y = 4

Answer:

x - 0 1 2 3 4 5

y - 3 4 5 6 7 8

It is very simple, all you have to do is add three to x every time, for example if x is 153, y will be 156. 3 should be the beginning, the y intercept in graphs, and the beginning means x should be 0.

Answer:

1.24 m

Step-by-step explanation:

F ∝ 1/d²

F = k/d²

Use values given to solve for k

0.006 = k/3²

k  = 0.054 (I multiplied both sides by 3² in the equation above)

New equation is F= 0.054/d²

Plug in your numbers so 0.035 = 0.054/d²

0.054/0.035 = d²

You can simplify if you want so d² = 54/35

Square root both sides to solve for d

√54/35 = 1.24 m

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.

To find:

The function after the given transformations.

Step-by-step explanation:

The transformation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                ... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If k<0, then the graph of f(x) is reflected over the x-axis.

If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the graph of f(x) shifts 1 unit left, so a=1.

The graph of f(x) vertically stretch by a factor of 3, so |k|=3.

The graph of f(x) reflected over the x-axis, so k=-3.

There is no vertical shift, so b=0.

Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get

[tex]g(x)=-3f(x+1)+0[/tex]

[tex]g(x)=-3f(x+1)[/tex]

[tex]g(x)=-3(x+1)^2[/tex]                     [tex][\because f(x)=x^2][/tex]

Therefore, the correct option is B.

Answer:  3.9  (choice A)

==============================================

Work Shown:

Apply the pythagorean theorem to get

a^2+b^2 = c^2

1^2+b^2 = 4^2

1+b^2 = 16

b^2 = 16-1

b^2 = 15

b = sqrt(15)

b = 3.87298

b = 3.9

Answer:

$320

Step-by-step explanation:

12.5 % is 40

12.5% is 8% of 100%

so do 40 x 8 = 320

Answer:

160

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

        84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

Answer:

35square meters

Step-by-step explanation:

5×7=35

Answer:

its the 3rd answer

Step-by-step explanation:

Answer:

t-h=negative

Step-by-step explanation:

Answer:

11/36

Step-by-step explanation:

Answer:

0.30555555555

Step-by-step explanation:

Absolute value of 7. Any real numbers in the absolute sign would equal to the positive value.

Definition

[tex] \large \boxed{ |x| = \begin{cases} x \: \: \: \: (x \geqslant 0) \\ - x \: \: \: \: (x < 0) \end{cases}}[/tex]

If we substitute x = 7 in. Answer by using the definition of absolute value. Note that we only substitute x = 7 in x and not -x since 7 is greater than 0 and not less than 0.

[tex] \large{ |7| = 7 \: \: \: \: (x \geqslant 0)}[/tex]

You may also be wondering what will happen if we substitute x = any negative numbers.

[tex] \large{ | - 7| = - ( - 7) \: \: \: \: (x < 0)} \\ \large \boxed{ | - 7| = 7}[/tex]

Because -7 is less than 0. We substitute in -x and not x. This is the definition of absolute value. But to understand it easily, any numbers in absolute value have to equal to their positive value.

Conclusion

Let me know if you have any doubts regarding the absolute value through comment!