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2 years ago

6. A(n) ______ must contain an equals sign. Fill in the blank

Mathematics

1 answer:

Kamila [148]2 years ago

4 0

Answer:

equation

Step-by-step explanation:

equations must have equal signs.

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What is the value of x?

lorasvet [3.4K]

Answer:

x=9

Step-by-step explanation:

We can use similar triangles and ratios. Put the small triangle side over the large triangle side.

9cm 3x -20

---------- = ---------------- We need to add the sides to get to the larger triangle

72+9 cm 3x-20 + 56

We can cross multiply to solve

9 * (3x-20+56) = (72+9) * (3x-20)

Simplify

9*(3x+36) = 81*(3x-20)

Distribute

27x +324 = 243x -1620

Subtract 27x from each side

27x-27x +324 = 243x-27x -1620

324 = 216x-1620

Add 1620 to each side

324+1620 = 216x

1944 = 216x

Divide each side by 216

1944/216 = 216x/216

9=x

6 0

3 years ago

Read 2 more answers

The average price of a gallon of milk has constantly increased by $0.07 per year. In 2002, a gallon of milk cost $2.75. Which eq

Travka [436]

Answer:

5000o

Step-by-step explanation:

5 0

3 years ago

Pls help me solve this one please..<br> (3/4)to the 2nd power +(1/2)to the second power

andriy [413]

9/16 + 1/4
9+4/16
13/16

Alternative form
0.8125

5 0

3 years ago

Clark spent a total of $52 on a pair of shoes and a new jacket. The shoes cost $4 more than the jacket. Write a system of equati

lara [203]

Answer:

x+y=52
x-y=4
y=24

Step-by-step explanation:

The sum of the two costs is $52, so we can write ...

x + y = 52

The shoes cost $4 more than the jacket, so we can write ...

x - y = 4

These are your system of equations.

Subtract the second equation from the first:

(x +y) -(x -y) = (52) -(4)

2y = 48 . . . . . simplify

y = 24 . . . . . . .divide by 2

The cost of the jacket is $24.

8 0

3 years ago

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below

mafiozo [28]

Answer:

a) $\bar X = 369.62$

b) $Median=175$

c) $Mode =450$

With a frequency of 4

d) $MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

<u>e)</u> $s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

Replacing we got:

$\bar X = 369.62$

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

$Median=175$

Part c

The mode is the most repeated value in the sample and for this case is:

$Mode =450$

With a frequency of 4

Part d

The midrange for this case is defined as:

$MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

Part e

For this case we can calculate the deviation given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

5 0

3 years ago