What would be the first step in solving the equation 7/9x + 34 = 174?

Answer:

circumference = 31.4 milometers

Step-by-step explanation:

circumference = 5(2)(π)

circumference = 31.4 milometers

this is the answer y=19x-10

Answer:36%=9/25    17/50=34%   0.18=18%     1/4=0.25        Hope that helped:)

Step-by-step explanation:

The solution to the equation is

a) 24 / 25 = 0.96

b) 3/5 = 60 %

c) 9 / 50 = 0.18

26 % = 13 / 50

0.35 = 7 / 20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

a)

24 / 25

The value of the fraction A = 24/25 is

A = 0.96

Therefore , A = 24/25 = 0.96

b)

3/5

The value of the fraction A = 3/5

Multiply the numerator and denominator by 20 , we get

A = 3/5 x 20/20

A = 60 / 100

A = 60 %

Therefore , A = 3/5 = 60 %

c)

9/50

The value of the fraction A = 9/50

Multiply the numerator and denominator by 2 , we get

A = 3/5 x 2/2

A = 18 / 100

A = 0.18

Therefore , A = 9/50 = 0.18

d)

26 %

The value of the fraction A = 26 %

Convert the percentage A = 26 % into  fraction  , we get

A = 26/100

A = 13 / 50

A = 13/50

Therefore , A = 26 % = 13/50

e)

The value of the fraction A = 0.35

Convert the decimal A = 0.35 to fraction , we get

A = 35 / 100

Divide the numerator and denominator by 5 , we get

A = 7 / 20

Therefore , A = 0.35 = 7 / 20

Hence , the value of the equation A is

a) 24 / 25 = 0.96

b) 3/5 = 60 %

c) 9 / 50 = 0.18

26 % = 13 / 50

0.35 = 7 / 20

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Answer:

D

Step-by-step explanation:

2 terms

Mean is the average.

10 x 5 = 50

All 5 numbers need to add up to 50.

Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.

Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)

4 +3 = 7

14+16 = 30

1 set could be 3, 4 ,13, 14, 16

A 2nd set could be:

1 +2 = 3

16 + 18 = 34

1,2,13,16,18

Answer:

140

Step-by-step explanation:

The sum of one interior angle and one exterior angle is 180

180-40=140 so an interior angle of the regular polygon would be equal to 140

Answer:

Step one. Equate the two right hand sides to each other.

3x - 4 = 2x + 1

Step-by-step explanation:

Well one of the things you could do is graph the two equations. The intersection point is the solution to the system. We get 5,11 as the answer. I can hear you saying that's cheating, and it likely is, but it does get the answer.

The very first step without the graph is to equate each of the right hand sides to each other. That's because the left side are both ys and they have to be equal.

3x - 4 = 2x + 1                     Add 4 to both sides

3x - 4 + 4 = 2x + 1 + 4

3x = 2x + 5                         Subtract 2x from both sides

3x-2x = 2x-2x + 5              Combine

x = 5

y = 3x - 4

y = 3*5 - 4

y = 15 - 4

y = 11.

22,5

Step-by-step explanation:

45 :2 = 22,5 mark me plz thanks

The approximate measure of a diagonal that cuts through the rectangle are 14.4.

A diagonal in geometry is a line segment that connects two vertices of a polygon or polyhedron that are not on the same edge. Informally, any sloping line is referred to as a diagonal.

Given that a rectangle has side measurements of 12 units and 8 units. The measure of the length of the diagonal will be,

d =√ ( w²+l² )

d =√ ( 8²+12² )

d =√ ( 64 + 144 )

d ≈14.4

Therefore, the approximate measure of a diagonal that cuts through the rectangle is 14.4.

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Answer:

23 and - 16 are the coefficients

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

You divide $72 by 9 to get the money for each lawn-mowing job.

72/9 = 8

She charges $8 for each lawn she mows.

Answer:

-12x

Step-by-step explanation:

4x* -3 = -3* 4 *x= -12x

Answer:

6abc

Step-by-step explanation:

In this equation, one is given both variables and constant. One can only combine like terms; variables of the same parameter with other variables of the same parameter, or constant with constants. In this situation, three different variables are given, but two constants are given. One can combine the constant, but one must leave the variables as they are. Thus:

3 * b * 2 * ac

= 3 * 2 * b * ac

= 6abc

Answer:

121. three digits. 121/11=11

Step-by-step explanation:

Answer:

90.

Step-by-step explanation:

1000 / 11

= 90.9.

Answer:

5

Step-by-step explanation:

*Just a highly recommended guess.*

Answer:Quadrilaterals

Step-by-step explanation:A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.

Answer:

1

Step-by-step explanation:

when dividing numbers with exponents with the same base, subtract the exponents.

[tex]\frac{8^{7} }{8^{7} }[/tex]

7 - 7 = 0

[tex]\frac{8^{7} }{8^{7} }[/tex] = [tex]8^{0}[/tex]

anything to the power of 0 is 1

[tex]8^{0}[/tex]= 1

Answer:

1

Step-by-step explanation:

Any number divided by itself equals 1 with the exception of 0 since 0/0 is undefined.

8^7 is not equal to zero, so without doing any calculations or using any other rules, we know that

8^7/8^7 = 1

We can use the rule of exponents for dividing powers.

Rule:

[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]

Here we have a = 8, m = 7, and n = 7.

Applying the rule, we get

[tex] \dfrac{8^7}{a^7} = 8^{7 - 7} = 8^0 [/tex]

Another rule of exponents:

[tex] a^0 = 1 [/tex]

We the zero power rule now:

[tex] 8^0 = 1 [/tex]

Therefore,

[tex] \dfrac{8^7}{a^7} = 1 [/tex]

Answer: 1

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

Answer: 9 dimes and 5 quarters.

Step-by-step explanation:

Answer: 6.5 miles per day

Step-by-step explanation:

First and foremost, we should note that 7 days = 1 week. Therefore, from the question, we are given the information that it took took 1 week to hike the 45.5 miles over the Brooks Range.

The average number of miles per day that they traveled will then be:

= 45.5 miles / 1 week

= 45.5 miles / 7 days

= 45.5/7

= 6.5 miles per day

Answer:

3 5/7

Step-by-step explanation:

Answer: 4/15

Step-by-step explanation:

hope it's help you.......

Very quickly: since tan(30°) = 1/√3,

(1 + tan(30°)) / (1 - tan(30°)) = (1 + 1/√3) / (1 - 1/√3)

… = (√3 + 1) / (√3 - 1)

… = (√3 + 1)² / ((√3)² - 1²)

… = ((√3)² + 2√3 + 1²) / (3 - 1)

… = (3 + 2√3 + 1) / 2

… = (4 + 2√3) / 2

… = 2 + √3

On the other side, we have sin(30°) = 1/2 and sin(60°) = √3/2, so

(1 + sin(60°)) / (1 - sin(30°)) = (1 + √3/2) / (1 - 1/2)

… = (1 + √3/2) / (1/2)

… = 2 (1 + √3/2)

… = 2 + √3

and we're done, both sides are equal.

We can also prove this algebraically:

Force the denominator on the left side into a difference of squares:

(1 + tan(30°)) / (1 - tan(30°)) × (1 + tan(30°)) / (1 + tan(30°))

… = (1 + tan(30°))² / (1 - tan²(30°))

Expand the numerator:

… = (1 + 2 tan(30°) + tan²(30°)) / (1 - tan²(30°))

Recall that 1 + tan²(x) = sec²(x) :

… = (sec²(30°) + 2 tan(30°)) / (1 - tan²(30°))

Since sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x), multiply through every term by cos²(30°) :

… = (sec²(30°) + 2 tan(30°)) / (1 - tan²(30°)) × cos²(30°) / cos²(30°)

… = (1 + 2 sin(30°) cos(30°)) / (cos²(30°) - sin²(30°))

Recall that sin(2x) = 2 sin(x) cos(x) and cos(2x) = cos²(x) - sin²(x) :

… = (1 + sin(2×30°)) / cos(2×30°)

… = (1 + sin(60°)) / cos(60°)

Finally, recall that cos(90° - x) = sin(x), so cos(60°) = sin(30°) = 1/2, and we can write 1/2 = 1 - 1/2, so

… = (1 + sin(60°)) / (1 - sin(30°))

as required.

Answer:

The inverse  is ±sqrt(100-x)

Step-by-step explanation:

To find the inverse, exchange x and y

x = 100 -y^2

Solve for y

Subtract 100 from each side

x - 100 = -y^2

Divide by -1

-x +100 = y^2

Take the square root of each side

±sqrt(100-x) = sqrt(y^2)

±sqrt(100-x) =y

The inverse  is ±sqrt(100-x)

Step-by-step explanation:

f[g(4)]

g(x) = 4x

g(4) = 4(4)

= 16

f(x) = x-5

f[g(4)] = f(16) = 16 - 5 = 11

So, f[g(4)] = 11