the area of a trapezoid is 42 square feet and its height is 4 feet. the length of one base of the trapezoid is 9 feet. what is the lenght of its other base

Using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

An algebraic equation, like the one given, models word problems, and can be used to find unknown numbers.

Thus:

y = 4× represents the rate Kathrine uses to make bracelets, where,

x = number of days

y = total number of bracelets made

Find the number of days (x) it takes to make 20 bracelets.

Substitute y = 20 into y = 4x:

20 = 4x

20/4 = x

x = 5 days.

Create an algebraic equation in the form of, y = kx, for the rate of necklace Kathrine makes using the graph.

Thus, using the point, (4, 10), substitute x = 4 and y = 10 into y = kx and find k.

10 = k(4)

10/4 = k

k = 2.5

The algebraic equation for rate of necklace made is: y = 2.5x

Number of days Kathrine will use to make 20 necklaces would be:

20 = 2.5x

20/2.5 = x

x = 8 days.

Number of days to make 20 bracelets = 5 days

Number of days to make 20 necklaces = 8 days

In summary, using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

Learn more about algebraic equations on:

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Answer:

y = 2/3x

Step-by-step explanation:

*

Cp = 15000

L % = 2 %

First Let's find loss :

Final equation:

I am pretty lazy to use latex adjust with it xD

Answer:

wait a minuate which school you study i study in indian school salalah

Answer:

2p^2 - 1p - 8     GCF= 2p

Step-by-step explanation:

The GCF of the following equation can be written as 2p.

So with this information, we can solve the equation.

2p^2 - 1p - 8

Let me know if I am correct.

Answer:

z-355=x

2z-80=y

x+y+z=2425 ft

Step-by-step explanation:

Smallest Yosemite falls- x

Largest Yosemite falls-y

Middle Cascades Falls- z

15 inches is the height of the pyramid

Step-by-step explanation:

The volume of a cube is a³

Given a = 5 inches

→ Volume = a³

= 5³

= 5×5×5

= 125 in²

The volume of a pyramid is [tex] \frac{1}{3} {a}^{2}h[/tex]

Given a = 5 inches , h = height of pyramid

[tex] = > \frac{1}{3} {a}^{2} h[/tex]

[tex] = > \frac{1}{3}(5)^{2}h[/tex]

[tex] = > \frac{1}{3} \times 25 \times h[/tex]

[tex] = > \frac{25}{3}h[/tex]

then,

[tex]125 = \frac{25h}{3}[/tex]

[tex] = > 25h = 125 \times 3[/tex]

[tex] = > 25h = 375[/tex]

[tex] = > h = \frac{375}{25} [/tex]

[tex] = > h = 15[/tex]

Hence, the height of pyramid is 15 inches

Answer:

Step-by-step explanation:

Let x represent the number of pounds of the more expensive candy. Then the price of the mix is ...

  1.40x +0.40(100 -x) = 0.85(100)

  x +40 = 85 . . . . . . simplify

  x = 45 . . . . . . . . subtract 40

  100 -x = 55 . . . pounds of cheaper candy

The grocer must use 45 pounds of $1.40 candy and 55 pounds of $0.40 candy to make the mix.

Answer:

it's either 32 or 16f I don't know though

Answer:

16f

Step-by-step explanation:

We can combine like terms here by adding the coefficients:

9f + 7f = (9+7)f = 16f

Answer:

D.  17,15,13,11

Step-by-step explanation:

The expression states that the next term in this sequence is formed by subtracting 2 from the preceding (n-1) result.  We know that for n = 1 that f(1) = 17.

f(n) is f(n-1) - 2

so

f(2) = f(1) - 2

f(2) = 17 - 2 or 15

f(3) = f(2) - 2

f(3) = 15 - 2 or 13

f(4) = f(3) - 2

f(4) = 13 - 2 or 11

 . . . .

 . . . .

 . . . .

and so on.

Answer:

D and B

Step-by-step explanation:

using the recursive formula and f(1) = 17 , then

f(2) = f(1) - 2 = 17 - 2 = 15

f(3) = f(2) - 2 = 15 - 2 = 13

f(4) = f(3) - 2 = 13 - 2 = 11

first 4 terms are 17, 15, 13, 11 → D

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

Using the recursive formula and f(1) = 5 , then

f(2) = 4f(1) = 4 × 5 = 20

f(3) = 4f(2) = 4 × 20 = 80

f(4) = 4f(3) = 4 × 80 = 320

first 4 terms are 5, 20, 80, 320 → B

Final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

Composite function is the function in which the one function is dependent on the other function. The one function is written inside the other function to show the such relationship between the two function.

Given information-

The sale on the gaming system are of 20 percent.

The total local tax on the discounted price is 12%.

The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

The function which expressed the tax on discounted price is,

[tex]c(p) = 1. 12p.[/tex]

The sale on the gaming system are of 20 percent and The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

Now the local tax is applied on the discounted price after the 20 percent sell. Thus the function of discounted price will be a written inside the function of local tax as,

[tex]c[p(g)] =1.12p(0.8) \\c[p(g)] =0.896p \\[/tex]

The above function is the required function, which tales the final price of the gaming system is 0.896 times the original price.

The final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

Learn more about the composite function here;

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x = -2

y = 1

let's multiply second equation by 4 to get a common coefficient of y variable.

16x-8y=-40

add the equations

3×+8y=2

16x-8y=-40

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

3x+16x = -38

19x = -38

x = -2

substitute x

3×-2 + 8y = 2

-6 + 8y = 2

8y = 2+6

y = 1

check the answer

-6+8 = 2

-8-2= -20

Answer:

1. FE

2. HI

3. <1

4. <MQL

***FOR #1 & #2, THERE IS A CURVE ON TOP OF THE LETTERS!!!

Answer:

3/3, 6/3, 18/6, 32/8, 25/5

Step-by-step explanation:

You can do many different combinations but that is just one combination you can do that equals 1, 2, 3, 4, and 5.

Answer:

what is x then i can say

Step-by-step explanation:

?????????????????????? i dont gets it

Otherwise its already simplified.

The volume of the triangular prism clay pot is 195 unit³

where

B = base area

H = height of the prism

Therefore,

Base area = area of a triangle

area of a triangle = 1 / 2 × base × height

Therefore,

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

Therefore,

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

learn more on triangular prism here: https://brainly.com/question/16537585

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{5}}}\implies \cfrac{-1}{3}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{5})[/tex]

Answer:

Addition and Subtraction with different denominators. If the denominators are different then a common denominator needs to be found.

2 pages.

hope this helps

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

Answer:

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

To Find:

Solution:

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

yellow box

Step-by-step explanation:

slope is rise over run

from any given point you go up 1 and over to the RIGHT 3 (1/3)

or you can go down one and to the LEFT 3 (-1/-3)

y intercept is -2 so you have y = 1/3x - 2

46 - 11

35 fruits will go into each smoothie

Answer:

same as the above

Step-by-step explanation:

Hope this answer helps you

Answer:

Area   is    72cm²

Step-by-step explanation:

Data :

There are four triangles and a square

       x = 6 cm

       h = 3 cm

Formula for square

   Area = A = x² = 6² = 36

All triangles has equal area

So formula used to find area is

   Area = A = 1/2 bh = 1/2 × 6 × 3 = 9

For four triangles

    9 × 4 = 36

Add them

     36 + 36 = 72

Answer:

91

Step-by-step explanation:

the real answer is 91 its not 72 I took the test k12

Answer:

A

Step-by-step explanation:

The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units

Answer:

cylinder surface area = 201.06in²

surface area of cone = 56.56in.²

Step-by-step explanation:

cylinder surface area formula = 2πrh + 2πr²

refer the pic

cone surface area formula = πr ( r + √h² + r² )

refer the sec pic

surface area of the solid

= ( 201.06 + 56.56 ) in.²

= 257.62in.²

= 258in.²

Answer:

x = 4

Step-by-step explanation:

Rewrite the given equation as b^(2x) = b^8.

The exponents 2x and 8 must be equal, and so 2x = 8, and x = 4

Answer:

(E/2)/n = k

So when doing this you have to isolate K since your solving for “k”.

In order to do this you have to perform the inverse of every variable or number in order to isolate K.

In this case you divide 2 and then N.

Answer:

[tex]y=1/4+1\\[/tex]

Step-by-step explanation:

There are a few ways to do this.

1) Make a graph

You can graph [tex]y=1/4x[/tex] by placing a dot 1 y-value above every time you go four x-values to the left. Place (4,2) on the graph and plug in different values of b.

2) Make and solve an equation

Our equation will use the point given to us, and the slope

Since 2 = y and 4 = 2, we will plug those in for [tex]y=mx+b\\[/tex]

[tex]2=1/4(4)+b\\2=1+b\\1=b[/tex]

Therefore, the equation for this question is [tex]y=1/4x+1[/tex]