A sack of pet food costs $15.50.if you buy two sacks the shop only charges $13.25 per sack.What is the percentage discount per sack when you buy two sacks? ​

The perimeter of the triangle is 16 feet

The perimeter of a triangle refers to the calculation of the total distance bounded by the triangle or around the triangle.

Perimeter of a triangle = (3x - 4) + (x² - 1) + (2x - 15)

Perimeter of a triangle = 5x + x² - 20

Perimeter of a triangle =  5(4) + (4)² - 20

Perimeter of a triangle = 16

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Answer:

[tex]\text{Slope} = \dfrac{7}9[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1) = (16,14)~ \text{and}~ (x_2,y_2) = (-2,0)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{0-14}{-2-16}\\\\\\~~~~~~~~~~~~=\dfrac{-14}{-18}\\\\\\~~~~~~~~~~~~=\dfrac{7}9[/tex]

Answer:

m = 7/9

m = 7/9m ≈ 0.80

Step-by-step explanation:

Given two points:

(16, 14), (-2, 0)

To find:

The slope

Solution:

We know that,

[tex] \rm Slope(m) = \cfrac{ y_2 - y_1}{x_2 - x_1} [/tex]

According to the question,

Note:[The underscore refers to that the numbers after the underscore is a subscript]

So Substitute them on the formulae:

[tex] \implies \rm \: m = \cfrac{0 - 14}{ - 2 - 16} [/tex]

Simplify it.

[tex] \implies \rm \: m = \cfrac{ \cancel{- 14} \: {}^{7} }{ \cancel{- 18} \: {}^{9} } [/tex]

[tex] \implies \boxed{ \rm \: m = \cfrac{7}{9} }[/tex]

[tex] \implies \rm \boxed{ \rm m \approx0.80}[/tex]

Thus,the slope is 7/9 in fraction and 0.80 (Nearest tenth) in decimal.

Answer: 35

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].

Sp, by the corresponding angles theorem, x=35

Answer:

  C.  g(x) = 3·2^x +2

Step-by-step explanation:

The graph of g(x) appears to be a translation upward of the graph of f(x).

__

To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)

  g(x) = f(x) +5

  g(x) = (3·2^x -3) +5

  g(x) = 3·2^x +2

__

You can also determine the correct choice by looking at the value at x=0:

  A. g(0) = 3 +6 = 9

  B. g(0) = 1 +3 = 4

 C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph

  D. g(0) = 3

Step-by-step explanation:

Here in the given figure the value of x will be 70° ( being alternative angle )

x = 70°

Now...

y = 60° ( being corresponding angle )

Now...

60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°

z = 180° - 130°

z = 50° ..

[tex]...[/tex]

[tex]\textit{circumference of a semicircle}\\\\ C=\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=81.212 \end{cases}\implies 81.212=\pi r\implies \cfrac{81.212}{\pi }=r \\\\\\ \stackrel{\textit{its diameter is}}{2r\implies 2\left( \cfrac{81.212}{\pi } \right)} ~~ \approx ~~ 51.7[/tex]

The value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6

From the question, we are to determine the values of a and b

From the given kite diagram, we can conclude that

/FG/ = /HG/

Thus,

30 =  2a - 4

∴ 2a - 4 =  30
2a = 30 + 4

2a = 34

a = 34 / 2

a = 17

Also,

/FJ/ = /HJ/

3b + 6 = 24

3b = 24 - 6

3b = 18

b = 18/3

b = 6

Hence, the value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6

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Answer:

[tex]x > \frac{5}{2} > 2\frac{1}{2}[/tex]

Step-by-step explanation:

group

[tex]4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10[/tex]

isolate "x"

[tex]4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}[/tex]

Answer:

x > 2.5 or in fraction form x > 2 1/2

Step-by-step explanation:

4x - 7 > 3

     +7  +7         Add seven to both sides.

4x > 10

÷4     ÷4            Divide both sides by 4.

x > 2.5

Hope this helps!

Answer:

it is b.

Step-by-step explanation:

as if the slope of x is 5 then y,=,0

The explicit formula is [tex]a_{n-1} = 256 * 0.5^{n-1[/tex] and the sum of the first 25 terms is approximately 512

The given parameters are:

[tex]a_0 = 256[/tex]

[tex]a_{n +1} = 0.5a_n[/tex]

Set n = 0

[tex]a_1 = 0.5a_0[/tex]

Substitute 256 for a0

[tex]a_1 = 0.5 * 256[/tex]

[tex]a_1 = 128[/tex]

This means that the common ratio is 0.5.

The explicit formula is then represented as:

[tex]a_{n-1} = a_0 * r^{n-1[/tex]

This gives

[tex]a_{n-1} = 256 * 0.5^{n-1[/tex]

This is calculated using:

[tex]S_n = \frac{a_0(r^{n-1} -1)}{r - 1}[/tex]

This gives

[tex]S_{25} = \frac{256 * (0.5^{25-1} -1)}{0.5 - 1}[/tex]

Evaluate

[tex]S_{25} = 512[/tex]

Hence, the sum of the first 25 terms is approximately 512

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Answer:

5/12

Step-by-step explanation:

1/6 can be turned into 2/12

7/12-2/12=5/12

Answer:

[tex]3\ln 4 + 3 \ln a[/tex]

Step-by-step explanation:

[tex]\ln(4a)^3\\\\=3\ln (4a)~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3(\ln 4 + \ln a)~~~~~~~~~~~~~~~~~~~~;[\log_b (mn) = \log_b m + \log_b n]\\\\=3\ln 4 + 3 \ln a[/tex]

I think it's 28 units²

Answer:

i don't know, you need to tell us what we need to do

Step-by-step explanation:

The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

From the question, we are to determine the cash value of the computer system in 3 years

From the given information,

The computer system cost $2,395 and it will depreciate at a rate of 12% a year

After the first year, the worth of the computer system will be

$2,395 - (12% of $2,395)

$2,395 - (0.12 × $2,395)

= $2,395 - $287.4

= $2107.6

After the second year, the worth of the computer system will be

$2107.6 - (12% of $2107.6)

$2107.6 - (0.12 × $2107.6)

= $2107.6 - $252.912

= $1854.688

After the third year, the worth of the computer system will be

$1854.688 - (12% of $1854.688)

$1854.688 - (0.12 × $1854.688)

= $1854.688 - $222.56256

= $1632.12544

≅ $1632

Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

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Answer:

i) 0.5

ii) 0.76

Step-by-step explanation:

i) 0.5

ii) 0.76

Answer:

180

Step-by-step explanation:

well 9×12=180 roger only works 20 hours he gets plaid $9 per hour he's working so yes the answer is 180

Answer:

180

Step-by-step explanation:

10×9=90, so 90+90= 180

Answer:

688 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

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

Surface Area = 6 × 12 + 20 × (30.8) = 688 cm²

Answer:

Step-by-step explanation:

Answer:

337 large buckets and 195 jumbo buckets were sold.

Step-by-step explanation:

x = the number of large buckets sold
y = the number of jumbo buckets sold

x + y = 532
(2.25x + 3.75y = 1489.50) x100 = 225x + 375y =148950

(x + y = 532) x -225 =      -225x - 225y = -119700
                                       + 225x + 375y =148950

                                                       150y = 29250
                                                             y = 195

x + 195 = 532
         x = 337

Answer:

6.5 $

Therefore she needs 6.5 $ is she doesn't rwk

Answer:

i think you have to multiply

Step-by-step explanation:

Answer:

i believe the answer is false !

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.

so, P = 9+6+9+6

P = 30

At the equilibrium price p, we can solve for the quantity of goods x :

demand = supply

5200 - 0.0005x = 2800 + 0.0003x

2400 = 0.0008x

x = 3,000,000

With this quantity of goods, the equilibrium price is

p = 5200 - 0.0005 (3,000,000)

p = 5200 - 1500

p = 3700

Answer:

there's no picture dude

The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a transformation function:

g(x) = f(x - 3) + 4

The parent function is f(x).

First transformation:

x → (x - 3)

The function will shift right by 3 units.

Second transformation:

Add 4 to the function:

g(x) = f(x - 3) + 4

The function will shift up by 4 units.

Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

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Answer:

C) 8 m²

Step-by-step explanation:

Volume of a square pyramid :

Answer:

51%

Step-by-step explanation:

Answer:

The correct answer is y = -6x - 4

Step-by-step explanation:

The given equation of the line : y = -6x + 2

Now, the general equation of the line in the slope-intercept form is given by : y = mx + c

Now, comparing the given equation with the general form, We get slope, m = -6

We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6

And it passes through the point (-1, 2)

The required equation will be :

⇒ y - 2 = -6 × (x + 1)

⇒ y - 2 = -6x - 6

⇒ y = -6x - 4

Therefore, The required equation is y = -6x -4

Hence, The correct answer is. y = -6x - 4

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