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kati45 [8]
1 year ago
6

Calculate the scale factor of ABC to DEF. Enter answer as a whole number or as a fraction in lowest terms, using the slash mark

( / ) for the fraction bar.

Mathematics
1 answer:
bazaltina [42]1 year ago
5 0

Answer:

3

Step-by-step explanation:

because 3x3= 9 and 4x3=12 and 5x3=15

You might be interested in
What is 4 square root of 81 to the fifth power in exponential form
creativ13 [48]

Answer:

B is the answer.

Step-by-step explanation:

x^{\frac{m}{n} }  = \sqrt[n]{x^{m} }  

\sqrt[4]{81^{5} } =  81^{\frac{5}{4} }

5 0
2 years ago
Izumi is running on a quarter-mile oval track. After running 110 yards, his coach records his time as 16 seconds.
pickupchik [31]

Answer:

14.04 miles per hour

Step-by-step explanation:

The problem is asking for Izumi's speed. The formula of speed is:

  • s = \frac{d}{t} , where "s" means speed, "d" means distance and "t" means time.

The problem is also asking for the unit<u> miles per hou</u>r (\frac{miles}{hour}) so, this means that we have to know how many miles Izumi ran, given that the problem only mentioned<u> yards (110 yards).</u>

Let's convert 110 yards to miles, provided that he Izumi ran 1,760 yards in a mile.

  • 110 yards ÷ 1760 \frac{yards}{mile} = 0.0625 miles (this is the distance covered by Izumi in miles)

Let's go back again to the formula: s = \frac{d}{t}

s = \frac{0.0625 miles}{16 seconds} = 0.0039 \frac{miles}{sec}

Since, the we arrived at a miles per second unit, we have to convert it to miles per hour.

So, if a minute has 60 seconds, then an hour has 3,600 seconds.

Thus, 0.0039 \frac{miles}{sec} × 3,600 \frac{seconds}{hour} = 14.04 miles per hour (the answer)

3 0
2 years ago
Drag each expression to show whether it is equivalent to 6(4x−1), 24x+6, or (4⋅6x)+(4⋅2) somebody please help me i need to get t
faltersainse [42]

Answer:

6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)

24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)

(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)

Step-by-step explanation:

An equivalent expression is an expression which either simplified or factored is equal to it.

6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)

24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)

(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)

5 0
2 years ago
Ray CE is the angle bisector of ACD. Which statement about the figure must be true? mECD = mECB mACE = mACD ACE DCB
Ainat [17]

Answer:

ACE = ECD is the answer

Step-by-step explanation:

5 0
2 years ago
A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited
morpeh [17]

Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set.  See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval.  See the second attached photo for the construction steps.

They want a 90% confidence interval.  Our sample size is 7, so since n < 30, we will use a t-score.  Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate.  It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate.  It's better to use 28 and underestimate a little when considering customer flow.

5 0
2 years ago
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