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3 years ago

Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

4 0

Answer: YZ = 13

Point Y is between the points X and Z => XY + YZ = XZ

=> 3x - 4 + 2x + 3 = 24

<=> 5x - 1 = 24

<=> x = (24 + 1) : 5 = 5

with x = 5 => YZ = 2.5 + 3 = 13

Step-by-step explanation:

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Write each as a decimal. Round to the thousandths place.<br> 9) 78.4%<br> 10) 29%<br> Help

fomenos

Answer:

$(a) 78.4\% = 0.784$

$(b) 29\% =0.290$

Step-by-step explanation:

Required

As a decimal to nearest thousandth

Solving (a): 78.4%

$78.4\%$

Express as fraction

$78.4\% = \frac{78.4}{100}$

Solve fraction

$78.4\% = 0.784$ ----- This is already in thousandth place

Solving (b): 29%

$29\%$

Express as fraction

$29\% =\frac{29}{100}$

Solve fraction

$29\% =0.29$

Approximate

$29\% =0.290$

4 0

3 years ago

If red oak lumber weighs 63 pounds per cubic foot, how much does one cord of red oak weigh? (A cord is a measurement for bulk wo

dsp73

Answer: Option C. 8,064 pounds

Solution:

Unit weight: U=63 pounds/foot^3

Total Weight: W=?

W=U*V

Volume: V

Length: l=8 feet

Width: w=4 feet

Height: h=4 feet

V=l*w*h

Replacing the knwon values in the formula above:

V=(8 feet)*(4 feet)*(4 feet)

V=128 feet^3

Replacing in the formula of total Weight:

W=U*V

W=(63 pounds/foot^3)*(128 feet^3)

W=8,064 pounds

8 0

3 years ago

What is the median of the following numbers 45,36,52,55,47, 39

Elena L [17]

Answer:

Step-by-step explanation:

By arranging the numbers from least to greatest, you can find the median by locating the central number in the data set.

8 0

3 years ago

Which two ordered pairs represent a proportional relationship?

Temka [501]

Step-by-step explanation:

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8 0

3 years ago

A restaurant has fixed costs of $147.50 per day and an average unit cost of $5.75 for each meal served. If a typical meal costs

Nikolay [14]

Answer:

The answer is 118.

Step-by-step explanation:

First we need to subtract the meal cost from average unit cost for each meal:

$7-5.75=1.25$

A restaurant profits 1.25$ for each meal. If we divide fixed cost to profit for each meal:

$147.5/1.25=118$

The restaurant have to sell 118 meals at least each day for the owner to break even

5 0

4 years ago