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zhannawk [14.2K]
3 years ago
12

Mr. Watkins earns $35 an hour at his new job. During a typical month, he works a total of 160 hours. Mrs. Watkins is a homemaker

. After meeting the estimated monthly expenses, how much money will the family have left to spend on other items?
A) $1150
B) $1322
C) $1445
D) $1500
Mathematics
1 answer:
aleksley [76]3 years ago
8 0
What are the monthly expenses? Here is the total money Mr.Watkins makes, $5600
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A manufacturer of electronic components is interested in determining the lifetime of a certain type of battery. A sample, in hou
Eva8 [605]

(a.)

Mean= sum / n

Mean= (123+116+122+110+175+126+125+111+118+117) / 10

Mean=1243 / 10

Mean= 124.3

Median:

Rearranged the data in order first

110,111,116,117,118,122,123,125,126,175

118 and 122 are at the middle

Median=1/2(n1 + n2)

Median=1/2(118+122)

Median=240/2

Median= 120

(b) 175 is the larger than the others value and larger than the mean, so it is the substantial difference between the mean and the highest value (175).

8 0
2 years ago
5. If mZWXZ = (5x + 3)", mZZXY = (8x - 4)", and
gladu [14]

Answer:

m∠WXZ = 38°

m∠ZXY = 52°

Step-by-step explanation:

In the question

  • ∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXY
  • That means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY

∵ ∠WXY is a right angle

→ That means its measure is 90°

∴ m∠WXY = 90°

∵ m∠WXZ + m∠ZXY = m∠WXY

∵ m∠WXZ = (5x + 3)°

∵ m∠ZXY = (8x - 4)°

∵ m∠WXY = 90°

→ Substitute their values in the equation above

∴ (5x + 3) + (8x - 4) = 90

→ Add the like terms in the left side

∵ (5x + 8x) + (3 - 4) = 90

∴ 13x + (-1) = 90

∴ 13x - 1 = 90

→ Add 1 to both sides

∴ 13x - 1 + 1 = 90 + 1

∴ 13x = 91

→ Divide both sides by 13

∴ \frac{13x}{13}=\frac{91}{13}

∴ x = 7

→ To find the measure of each angle substitute x by 7 in their measures

∵ m∠WXZ = 5x + 3

∴ m∠WXZ = 5(7) + 3

∴ m∠WXZ = 35 + 3

∴ m∠WXZ = 38°

∵ m∠ZXY = 8x - 4

∴ m∠ZXY = 8(7) - 4

∴ m∠ZXY = 56 - 4

∴ m∠ZXY = 52°

7 0
3 years ago
PLEASE HELP NOW!!
Rufina [12.5K]

1. Carl's constant rate of speed is the slope of the straight line graph.

This straight line passes through: (0,0), (5,1), (10,2) etc

We can use the slope formula with any two points to find the slope of this line.

The slope formula is m=\frac{y_2-y_1}{x_2-x_1}.

Let (x_1,y_1)=(0,0) and (x_2,y_2)=(5,1)

Then m=\frac{1-0}{5-0}, \implies m=\frac{1}{5}.

Carl's speed is \frac{1}{5} miles per minute.

But we must leave our answer in miles per hour

Hence Carl's speed is \frac{1}{5}\times 60=12  miles per hour

After 2 hours, Carl will travel 12\times 2=24 miles.

2. The given line has equation -4x+y=10

We write this in slope-intercept form by solving for y.

\implies y=4x+10

This is in the form y=mx+c, where m=4 is the slope.

When x=3,  y=4(3)+10

\implies y=12+10=22

When x=3, y=22

3. The given straight line graph that models the situation passes through:

(0,0) and (20,30).

The slope of this line is \frac{Rise}{Run}=\frac{300}{20}=15

Therefore the rate is $ 15 per ticket.

If the theater sells 150 tickets, the earnings will be: 150\times 15=2,250 dollars.

7 0
3 years ago
the product of two numbers is the same as one of the factors . How can you use properties of multiplication to determine what th
ahrayia [7]
I have really know idea at all I'm so sorry this doesn't help
4 0
3 years ago
A concession stand sells 50 drinks, of which 17 are orange juice. What is the probability that the next drink sold will be orang
love history [14]
Total Drinks = 50
Orange Juice = 17

P( Orange Juice ) = 17 /50 = 0.34 = 34%

-----------------------------------------------------------------------
Answer: P( Orange Juice ) = 17 /50 (fraction)  = 0.34  (Decimal ) = 34% (Percentage)
-----------------------------------------------------------------------
3 0
3 years ago
Read 2 more answers
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