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3 years ago

Complete the statement. Round to the nearest hundredth if necessary 18 ft = { }yd

Mathematics

2 answers:

pav-90 [236]3 years ago

7 0

18 feet equals 6 yards. 18/3

Zina [86]3 years ago

3 0

Answer:

18 ft = 6 yd

Step-by-step explanation:

Recall that 1 yd = 3 ft.

Thus, 18 ft is 6 times greater than 3 ft, and 18 ft becomes

18 ft x

------- * ------

3 ft 1 yd

Then 3x = 18, and x = 6.

18 ft = 6 yd

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an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle at the rate of 2 seats in 11 minutes. Write a proporti

LuckyWell [14K]

Rate = 2 seats/11 minutes = 2/11 seats/min

Therefore the time required for s seats is
$(m \, min) = \frac{s \, seats}{ \frac{2}{11} \, \frac{seats}{min} } = \frac{11s}{2} \, min$
That is,
m = (11s)/2 min

When s = 16, obtain
$m = \frac{11(16)}{2} = 88 \, min$

When s = 19, obtain
$m = \frac{11(19)}{2} = 104.5 \, min$

Answers:
$m = \frac{11s}{2}$
When s = 16, m = 88 min
When s = 19, m = 104.5 min

3 0

3 years ago

Given a dilation around the origin, what is the scale factor K?<br><br> Do, K = (20,16) → (-5,-4)

Rudik [331]

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

5 0

3 years ago

Ignore circled one and work it out please

mash [69]

Answer:

a. $\frac{(x-7)}{x^2+x-30}$

Step-by-step explanation:

$\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}$

3 0

3 years ago

On Monday Sophie ran 4 5/6 laps of a running track and on Tuesday she ran 5 3/4

MatroZZZ [7]

Answer:

10 7/12

hope this is right

Step-by-step explanation:

4 5/6 = 29/6 as an improper fraction

5 3/4 = 23/4 as an improper fraction

you times the two denominators together = 24

you times 29 by 4 = 116

you times 23 by 6 = 138

you add 116 and 138 = 254

you put this over 24 = 254/24

simplify this = 127/12

you make this a mixed number = 10 7/12

the answer is 10 7/12

3 0

3 years ago

Without solving, tell what is true of the product of 3 and 2/3 =?

Kisachek [45]

Answer:

3 is a whole number while 2/3 is less than 3

Step-by-step explanation:

5 0

3 years ago