Create a proportion using the form %/100 = is/of to represent the following word problem.

14 is what percent of 50?

x/100 = 14/50
14/100 = x/50
14/100 = 50/x
x/100 = 50/14

Answer:

x = number of tins filled in 1 minutes = 5 tins

y = number of tins filled in 60 minutes = 288 tins

It will take 5 hours to fill 1440 tins

Step-by-step explanation:

Number of tins filled : time taken = 24 : 5

Let

x = number of tins filled in 1 minutes

Number of tins filled : time taken = x : 1

Equate both ratios

24 : 5 = x : 1

24/5 = x/1

Cross product

24 * 1 = 5 * x

24 = 5x

x = 24/5

x = 4.8

To the nearest whole number,

x = 5

x = number of tins filled in 1 minutes = 5 tins

(B) 1 hour?

1 hour = 60 minutes

Number of tins filled : time taken = 24 : 5

Let y = number of tins filled in 60 minutes

Number of tins filled : time taken = y : 60

Equate both ratios

24 : 5 = y : 60

24/5 = y/60

Cross product

24 * 60 = 5 * y

1440 = 5y

y = 1,440/5

y = 288 tins

y = number of tins filled in 60 minutes = 288 tins

C. How many hours will it take to fill 1440 tins?​

Let

z = time taken to fill 1,440 tins

Number of tins filled : time taken = 24 : 5

Number of tins filled : time taken = 1440 : z

24 : 5 = 1440 : z

24/5 = 1440/z

24 * z = 5 * 1440

24z = 7,200

z = 7,200/24

z = 300 minutes

300 minutes = 300/60

= 5 hours

z = 5 hours

It will take 5 hours to fill 1440 tins

Answer:

Volume of the cone: 32π cubed unit

Step-by-step explanation:

Volume of cone: V=1/3hπr²

1/3 x 6 x π x 4^2 = 32π

Answer:

The volume of a cone is 100.53. If you want to round it to the nearest one. It's 101.

Step-by-step explanation:

To find the volume. Use the equation V=3.14r^2 h/3

r=4 and h=6 so the equation is V=3.14(4^2) 6/3

V=50.24(6) = 100.53

Answer:

The answer is A. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – 2x – 1 or C. Axis of symmetry: x = –1; Vertex: (–1, –1); f(x) = –x2 – 2x – 1

Step-by-step explanation:

Vertex:  

(−1,0)

Focus:  

(−1,−1/4)

Axis of Symmetry:  

x

=

−

1

Directrix:  

y

=

1

4

x

y

−

3

−

4

−

2

−

1

−

1

0

0

−

1

1

−

4

Vertex:  

(

−

1

/2

,

−

1

/2

)

Focus:  

(−1/2,−5/8)

Axis of Symmetry:  

x

=

−

1

2

Directrix:  

y

=

−

3

8

x

y

−

2

−

5

−

1

−

1

−

1

2

−

1

2

1

−

5

2

−

13

Vertex:  

(

−

1

,

0

)

Focus:  

(

−

1

,

−

1

/4

)

Axis of Symmetry:  

x

=

−

1

Directrix:  

y

=

1

4

x

y

−

3

−

4

−

2

−

1

−

1

0

0

−

1

1

−

4

Vertex:  

(

−

1

/2

,

9

/4

)

Focus:  

(

−

1/2

,

2

)

Axis of Symmetry:  

x

=

−

1

2

Directrix:  

y

=

5

2

x

y

−

2

0

−

1

2

−

1

2

9

4

1

0

2

−

4

Answer:

3.2%

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set. if you need a video Explanation https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/mean-median-and-mode

Answer:

See the image below for the answer:)

Step-by-step explanation:

four times m equals negative eight

Answer:

Slope (m) is the number being multiplied by x (make sure you include the sign in front of it).

y- intercept (b) is the number other than the x

Step-by-step explanation:

Answer:

The slope is -9 and the y intercept is 2

Step-by-step explanation:

Write the equation in slope intercept form

y= mx+b where m is the slope and b is the y intercept

y = -9x+2

The slope is -9 and the y intercept is 2

Answer:

7 dollars and 50 cents, price per bottle is 2 dollars (you can get this answer by dividing 10/4) and 50 cents multiply that by 3 and you get the answer, 7 dollars and 50 cents.

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

slope = 1

Step-by-step explanation:

A standard linear function is

y = mx + b

where m = slope, b = initial value

Given y = x + 6

slope m = 1, b = 6

Slope of a line parallel to the given line should have the same slope, therefore slope required is m = 1.

Answer:

[tex]3x^2+8x+5[/tex]

Step-by-step explanation:

[tex](3x+5)(x+1)[/tex]

[tex]3x(x+1)+5(x+1)[/tex]        Distribute

[tex]3x(x+1)+5(x+1)[/tex]        Distribute [tex]3x(x+1)[/tex]

[tex]3x^2+3x+5(x+1)[/tex]        

[tex]3x^{2} +3x+5(x+1)[/tex]         Distrbute [tex]5(x+1)[/tex]

[tex]3x^2+3x+5x+5[/tex]            Combine like terms

[tex]3x^{2} +8x+5[/tex]

Answer:

3x²+8x+5

Step-by-step explanation:

Hi there!

We're given the product of two binomials: (3x+5)(x+1) and we want to express as a trinomial (polynomial with 3 terms)

we can multiply using FOIL; firsts, outers, inners, and lasts

Let's start by multiplying the firsts, which are the first terms in the two binomials, which are (3x+5) and (x+1)

So we'll multiply:

3x*x=3x²

Now we'll multiply the outers, which are the terms on the "outside" in the binomials, which are (3x+5) and (x+1)  (remember to include the sign!)

So we'll multiply:

3x*1=3x

then we'll multiply the inners, which are the terms on the "inside" of the binomials, which are (3x+5) and (x+1)

So we'll multiply:

5*x=5x

finally, we'll multiply the lasts, which are the last terms in the binomials, or (3x+5) and (x+1)

So we'll multiply:

5*1=5

now let's add up everything:

3x²+5x+3x+5

we have some like terms that we can combine

3x²+8x+5

Hope this helps!

area of a circle = πr²

22/7 × 692/100 × 692/100

150.50011

Answer:

Answer C

Step-by-step explanation:

[tex]-\sqrt{x} \\[/tex] will reflect the parent function across the x axis.

+3 will shift the function upwards by 3 units.

Answer:

About 706.5 or 707

Explanation:

3.14 • 5² (5² is also 25) = 78.5

78.5 • 9 = 706.5 or 707

Edit: Also posted a better picture for explanation. See the attachment.

Answer:

Y = 9

Step-by-step explanation:

Answer:

y = 9

Step-by-step explanation:

2 + 4 ( y - 1 ) = 2y + 16

step 1 distribute the 4

4 * y = 4y

4 * -1 = -4

we now have 2 + 4y - 4 = 2y + 16

step 2 combine like terms

2 - 4 = - 2

we now have - 2 + 4y = 2y + 16

step 3 add 2 to each side

-2 + 2 cancels out

16 + 2 = 18

we now have 4y = 2y + 18

step 4 subtract 2y from each side

2y - 2y cancels out

4y - 2y = 2y

we now have 2y = 18

step 5 divide each side by 2

2y / 2 = y

18 / 2 = 9

we're left with y = 9

Answer:

x = 33

Step-by-step explanation:

x = (135 - 69)/2    Tangent Secant Product

x = 66/2

x = 33

Answer:

[tex]x=60^{\circ}[/tex]

Step-by-step explanation:

The angle formed by [tex]48+x[/tex] and the angle marked as [tex]72^{\circ}[/tex] are co-interior angles and therefore must be supplementary (add up to 180 degrees).

Therefore, we have:

[tex]48+x+72=180,\\x+120=180,\\x=\boxed{60^{\circ}}[/tex]

Answer:

40 trees

Step-by-step explanation:

Number of tree planted = distance between the first and last trees / distance between the 2 trees

200 / 5 = 40

Step-by-step explanation:

X/11+2=4

X+22/11=4 ( LCM of this denominators is 11)..

X+22=4×11

X+22=44

X=44-22

X=22 ANSWER

Complete question:

If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of the third sides? A.20cm B.16cm C.22cm D.23cm

Answer:

B. 16 cm

Step-by-step explanation:

Given;

two lengths of the triangle as 15 cm and 4 cm

The length of the third side of the triangle must be less than the sum of the two given sides.

Length of third side < 15 cm + 4 cm

Length of third side < 19 cm

The only option less than 19 cm is B. 16 cm

Therefore, the correct option is B. 16 cm

Answer:

B

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

5(20 - 3v)

5(20 - 3 x 3/5)

5(20 - 9/5)

5(91/5)

91

The value of 6P6 is 720

The expression is given as:

6P6

This is calculated using:

[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

So, we have:

[tex]^6P_6 = \frac{6!}{(6 - 6)!}[/tex]

Evaluate the difference

[tex]^6P_6 = \frac{6!}{0!}[/tex]

As a general rule;

0! = 1

So, we have:

[tex]^6P_6 = 6!\\[/tex]

Expand

[tex]^6P_6 = 6 * 5 * 4 * 3 * 2 * 1[/tex]

Evaluate

[tex]^6P_6 = 720[/tex]

Hence, the value of 6P6 is 720

Read more about permutation at:

https://brainly.com/question/11732255

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