lines b and c are parallel. What is the measure of angle 6?

Answer:

y=-1/8x +4

Step-by-step explanation:

1. First, write the equation in point-slope form: y-y1=m(x-x1)

y-1=-1/8(x-24)

2. Distribute -1/8 to x and -24

-1/8 times x = -1/8x

-1/8 times -24 = 3

y-1=-1/8x+3

3. Add 1 to both sides

y=-1/8x +4

Answer:

it is a

Step-by-step explanation:

Answer:

a

Step-by-step explalan

Answer:

9/21 & 7/21

Step-by-step explanation:

Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

"Equivalent fraction is fraction with different numerator or denominator

that represents the same value or proportion of the whole."

"Common denominator is the same denominator of all the fraction"

We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex]  using 21 as common denominator.

As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]

and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]

⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]

⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]

Hence, Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

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Answer:

I agree with both.

Step-by-step explanation:

If it's $3 per dozen that would be $0.25 per muffin because

3÷ 12 = 0.25

And if Andre has $2 than he can only afford 8 muffins because

0.25 x 8 = 2

And if Elena wants 16 muffins

16 x 0.25 = 4

So she will have to pay $4.

Hope this makes sense and helps!

Answer:

5765/574

Step-by-step explanation:

there u go lol

Answer:

f(6) = g(3)

Step-by-step explanation:

Which statement is true regarding the functions on the graph?

f(6) = g(3)

f(3) = g(3)

f(3) = g(6)

f(6) = g(6)

Solution:

g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:

g(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]

f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:

f(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]

f(6) = x-3 = 6 - 3 = 3

g(3) = x + 3 = 3 + 3 = 3

f(6) = g(3)

Answer:

Step-by-step explanation:

3x+6=9

3x=9-6

3x=2

x=1.5

Answer:

x=1

Step-by-step explanation:

Subtract 6 from both sides of the equation, leaving 3x=3.

We put both sides over 3 to divide.

We are left with x=3

To test this, we substitute x with 1.

3(1)+6=9

3+6=9

9=9

Answer:

12+(x-13)

Step-by-step explanation:

the difference of x and 13 is subtraction and then added to 12 is addition.

Answer:

Step-by-step explanation:

X=-x^2+x-5

Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

Answer:

169.65

Step-by-step explanation:

43.95x4= 175.80 175.80x3.5=6.15 175.80-6.15=169.65

Answer:

$32.41

Step-by-step explanation:

Given that:

[tex]\begin{center}\begin{tabular}{ c c }Type of Meat & Cost per pound \\Beef & \$5.99 \\Chicken & \$4.79\\Pork & \$3.64\\\end{tabular}\end{center}[/tex]

Amount of pork bought by Jeff = 1.5 pounds

Amount of beef bought by Jeff = 2.5 pounds

Amount of chicken bought by Jeff = 2.5 pounds

Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.

Cost of pork for 1.5 pounds = 1.5 [tex]\times[/tex] 3.64 = $5.46

Cost of beef for 2.5 pounds = 2.5 [tex]\times[/tex] 5.99 = $14.975

Cost of chicken for 2.5 pounds = 2.5 [tex]\times[/tex] 4.79 = $11.975

Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41

Answer:

yes it is a function there is no graph so I cant justify it

The relation is not a function.

Relations that are functions will pass the vertical line test

The points are given as:

(0,0), (2,0), (2,2), and (3,4)

Next, we plot the points on the graph (see attachment).

From the graph, we can see that a vertical line passes through points (2,0) and (2,2).

Hence, the relation is not a function.

Read more about functions and relations at:

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Answer:

[tex]Actual\ Length = 2.54\ cm[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae

Step-by-step explanation:

Given

The following scale measurements

[tex]Length = 7.62cm[/tex]

[tex]Width = 3.81cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Solving (a): The actual length.

We simply divide the scale length by the scale factor.

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]

[tex]Actual\ Length = 2.54\ cm[/tex]

Solving (b): The actual width.

We simply divide the scale width by the scale factor.

[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]

[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

Solving (c):

Given: Actual Length of the beetle's antennae is 0.2 cm.

Required: Determine the scale measurement.

This is solved using:

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]

[tex]Scale\ Length = 0.2cm * 3[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex]

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

Answer:

b

Step-by-step explanation:

Answer:she worked 17 hours

Step-by-step explanation: 10×17=170+42=212

Answer:

She worked 16.4 hours

Step-by-step explanation:

Answer:

10.91

Step-by-step explanation:

40.54-29.63= 10.91

BRAINLIEST ARE ALWAYS APPRECIATED :)

Answer:

10.91

Step-by-step explanation:

40.54

-  29.63

_______________

10.91

Answer: 5/2

Step-by-step explanation: slope is the change in y over the change in x (y2-y1/x2-x1)

Answer:

C. 121cm2

Step-by-step explanation:

The area of a circle is pir^2.

Let pi be rounded to 3.14 and r = 6.2cm

6.2^2*3.14 = 120.76, which rounds to 121cm2

Answer:

Step-by-step explanation:

area of a circle = π r²

                         = π (6.2)²

                         ≈ 21 cm²

Answer:

x = 30 is the answer

Step-by-step explanation:

proportions

Answer:

its (-5 -5.9)

Step-by-step explanation:

i got id right on edg

Answer:

250ml understand the concept please

The jug can hold 250 ml more liquid.

Let the jug can hold x ml liquid.

Given Rita filled 2/5 of a jug with fruit juice.

So, the amount of fruit juice is = 2/5 of x = 2x/5.

Then she added 200 ml milk.

Given the ratio of the fruit juice to milk is 3:2.

So,

[tex]\frac{2x}{5}:200=3:2\\\frac{\frac{2x}{5} }{200}=\frac{3}{2}\\2( \frac{2x}{5})=600\\\frac{4x}{5}=600\\ x=\frac{600*5}{4}\\x=750[/tex]

So the amount of fruit juice = [tex]\frac{2}{5}*750=300[/tex] ml.

Total amount of fruit juice and milk = 300+200=500 ml.

So the jug will hold = 750 - 500 =250 ml more.

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Explanation:

Recall that quadratic form is ax^2+bx+c.

So we need an x^2 term followed by an x term, then a constant at the end.

It may not look it, but the given equation is nearly in quadratic form.

Rewrite 9^(2x) as (9^x)^2

We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0

From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0

From here we can use the quadratic formula or factor. I'll factor.

w^2 - 2w - 3 = 0

(w - 3)(w + 1) = 0

w-3 = 0 or w+1 = 0

w = 3 or w = -1

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

Now we use these values of w to find x

If w = 3, then,

w = 9^x

3 = 9^x

log(3) = log(9^x)

log(3) = x*log(9)

x = log(3)/log(9)

x = log(3)/log(3^2)

x = log(3)/(2*log(3))

x = 1/2

At the last step, we have the log(3) terms cancel.

Repeat for w = -1

w = 9^x

-1 = 9^x

log(-1) = log(9^x)

We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.

In short, w = -1 is extraneous so it doesn't lead to any x value solution.

So only w = 3 is useful.

Ultimately, the only solution is x = 1/2.