solve the system of equations
−4x−3y=-21
x=y

9514 1404 393

Answer:

  (b)  1 foot = 3/8 inch

Step-by-step explanation:

The given ratio is ...

  actual : scale = 4" : 1/8"

You know that 1 foot = 12 in = 3×4 in, so you can multiply the above ratio by 3 to see what it is for 1 foot.

  actual : scale = 3×4" : 3×1/8"

  = 12" : 3/8"

  = 1 foot : 3/8 in

______

Alternate approach

Essentially, we're saying that the ratios between actual measures and those on a scaled drawing or model form a proportion.

  scale / actual = (1/8")/(4 in) = ??/(12 in)

Multiplying by 12 in, we get ...

  ?? = (12 in)(1/8")/(4 in) = 3×1/8"

  ?? = 3/8"

__

More detail

Notice that this only works when the units in the ratio (12 in)/(4 in) cancel to give a pure number 12/4 = 3.

If we had put 1 foot in the proportion, then we would end up with ?? being expressed in feet, not inches:

  (1/8")/(4") = ??/(1 ft)

  ?? = (1 ft)(1/8")/(4") = (1 ft)(1/32) = 1/32 ft

Then, to find the answer to the question, we would have to find out how many inches is 1/32 ft.

  1/32 ft = (1/32)(12 in) = 12/32 in = 3/8 in

__

End comment

For best results, the units in corresponding parts of a proportion should be the same.

Answer:

14.99x3=44.97+4.99=49.96. You will have to pay $49.96 for the three CDs plus the shipping charge.

Step-by-step explanation:

Answer:

(x +8) (x - 3)

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:9

Step-by-step explanation:

dk

Answer:

its 0.642857 pls tell me if im wrong lol srry if it is

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6 = n/2 - 10

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that -6 does indeed equal -6.

∴ n = 8 is the solution to the equation.

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

try both -1, if I'm wrong I am sorry

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhh

Answer:

14

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

(times by 8) 105 mins= 1 day (times by 8)

                        840mins            = 8 day

840 mins in hours is 14 hours

ACE THAT TEST!!!

Answer:

7x+14 I think is correct. it's just combining like terms

hi I am interested for your answers but I can't find 5x-3 in my profile as my number and I am currently in my second week and simplify days of my contract for my current role

the following 3x are some numbers for you and your answers will not care for you and your answers to all of the boxes in my number of days

Answer:

Step-by-step explanation:

we have a rectangle and a semicircle,

area rectangle=14*4=56

area of semicircle

diameter is 4, than r=2

A of the circle=3.14*r^2=3.14*4=12.56

we have a semicircle so we will divide the area by 2

A=12.56/2=6.28

total area=56+6.28=62.28

Answer:

Here's the proof

Step-by-step explanation:

tan(47°)/cot(43°)

=tan(90°-47°)/cot(43°)

=cot(43°)/cot(43°)

=1 (proven)

Answer:

Step-by-step explanation

Loll

Answer: Each paper clip is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

Simply divide how long the notebook is, by how many paper clips there are, [tex]10\frac{2}3}[/tex] divided by 8.

Answer:

a) y = -6/x has a vertical asymptote at x = 0

b) y = 1/(2·x) - 1 has two asymptotes;

1) A vertical asymptote at x = 0

2) A horizontal asymptote at y = -1

Step-by-step explanation:

The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity

a) The given equation is y = -6/x

Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0

b) The given equation is y = 1/(2·x) - 1

∴ y = (1 - 2·x)/(2·x)

The function has a vertical asymptote at x = 0

The function has an horizontal asymptote at y = -2/2 = -1

Answer:

27% to .27 to 27/100

Step-by-step explanation:

So you take your number 27 and remove your % sign then you put your decimal at the last number on your right like this 27. so to make a percent into a decimal you have to move it twice to the left. so it will look like this as a decimal .27 to make it into a fraction look at the placement it is in the hundredths place so 27/100

Answer:

0.27

Step-by-step explanation:

You have to divide 27 by a 100. So you make 27 as 27.00 then you divide it by 100 and it give you 0.27 hope this is right and helped

Alligators have a greater IQR because there were some very long alligators (high outliers)

D: Alligators have a greater IQR because there were some very long alligators (high outliers)

Use the interquartile rule to find outliers and calculate the interquartile range of data.

Multiply the interquartile range (IQR) by 1.5 (a constant used to identify outliers). 44 Adds 1.5x (IQR) to the 4th interquartile range. Numbers larger than this are suspected of being outliers.

Subtract 1.5x (IQR) from the first interquartile range.

If you subtract 1.5xIQR from the first quartile, data values ​​smaller than this number are considered outliers. If you add 1.5 x IQR to the third interquartile, data values ​​larger than this number are considered outliers.

Learn more about outliers and the interquartile here:https://brainly.com/question/17083142

#SPJ2

Answer:

Y = 5/4)x + 9

Step-by-step explanation:

Y = mx + b

b = y int

m = slope

Answer: 5 weeks

Step-by-step explanation:

In the 1 week he was on vacation, Nolan was able to buy 3 postcards.

The rate he is buying postcards is therefore 3 per week.

If he needed to buy 15, he would need to be there for:

= 15 postcards/ 3 postcards a week

= 5 weeks

Answer:

x = 1/4

Step-by-step explanation:

[tex]log_{x}[/tex] 16 = 2 can be written as [tex]16^{x}[/tex] = 2

([tex]2^{4}[/tex])^x = 2^1

if bases are the same we can create this equation:  4x = 1

                                                                                      x = 1/4

Answer:

slope: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula  [tex]\frac{rise}{run}[/tex] to solve this.

- write your formula

[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

- plug in your numbers

[tex]m=\frac{4-3}{0-(-2)}[/tex]

- solve

[tex]m=\frac{1}{2}[/tex]

I hope this helps!

Answer:

The range of the equation is y ≥ 9 ⇒ C

Step-by-step explanation:

The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h = [tex]\frac{-b}{2a}[/tex] and k is the value of y at x = h

∵ The equation is y = x² + 9

→ Compare it with the form above to find a and b

∴ a = 1 and b = 0

∵ a is a positive number

∴ The parabola has a minimum vertex

→ By using the 1st rule above

∴ The range is y ≥ k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-(0)}{2(1)}[/tex] = [tex]\frac{0}{2}[/tex]

∴ h = 0

→ To find k substitute x by the value of h and y by k

∵ k = (0)² + 9

∴ k = 0 + 9

∴ k = 9

∴ The range of the equation is y ≥ 9

Answer:

2.07 miles

Step-by-step explanation:

If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3

Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.

Answer:

It is B

Step-by-step explanation:

I just did it! Yesterday <3 Hope this helps!!

Answer:

IT'S B!!!!!!!!!!!!!!!!!!!!!

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

The two pair of angles that are given values are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]2x-10+4x+16=180,\\6x+6=180,\\6x=174,\\x=\fbox{$29$}[/tex].

Answer:

[tex]\huge{ x=29° }[/tex]

Step-by-step explanation:

Here,

The two lines are parallel.

So,The angle (2x-10) and (4x+16) are corresponding. because these angles are the consecutive interior angles.

we know that,

Sum of corresponding angle =180°

According to the question,

[tex]\bold{(2x-10)+(4x+16)=180 }[/tex]

[tex]\bold{2x-10+4x+16=180 }[/tex]

[tex]\bold{ 6x+6=180 }[/tex]

[tex]\bold{6x=180-6 }[/tex]

[tex]\bold{ 6x=174 }[/tex]

[tex]\bold{ x=\dfrac{174}{6} }[/tex]

[tex]\bold{ x=29 }[/tex]

so,

value of x=29°

This question is incomplete

The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.

Write a system using c for candles and f for flowers.

Answer:

c + f ≤ 200

5c +6f ≥ 500

Step-by-step explanation:

Using

c for candles

f for flowers.

The girls estimate that at most they will sell 200 items.

At most is a statement that means : Less than or equal to with the inequality sign (≤)

Hence:

c + f ≤ 200

They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.

At least is a statement that means : Greater than or equal to with the inequality sign (≥)

Hence:

$5 × c + $6 × f ≥ $500

5c + 6f ≥ 500

Therefore, the system of inequalities is given as:

c + f ≤ 200

5c + 6f ≥ 500

-9c-20

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