Mr. Linx and Mrs. Lynn both work for the same company, but they do not have the the same hourly wages. Together they make $32.50 per hour. This week, Mr. Linx (x) worked 35 hours, and Mrs. Lynn (y) worked 37 hours. Together, they made $1,172.50.

Answer:

⅜ or ⅗

Step-by-step explanation:

I say ⅜ because of how many variables you can take into account 3 different colors, and a 2 sided coin, lastly 3 different numbers. So in total that is 8 possible variables and the 3 being blue, heads, and landing on 1.

Now I say ⅗ because of this perspective on the variables. You have the 3 colors, and your two sided coin but thing here is that the 1 is basically another color so the question is technically asking for the probability of spinning blue, landing on heads and landing on red in a sense.

Go with your gut though between those 2

Answer:

The temperature at midnight is -12 degree Celsius

Step-by-step explanation:

Given -

Temperature at 6:00 PM = -20 degree Celsius

Let the temperature at midnight be X degree Celsius

From midnight to 6:00 am, the temperature rose by 8 degree Celsius

X - (-20) = 8

X = 8-20

X = -12 degree Celsius.

The temperature at midnight is -12 degree Celsius.

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

Answer:

The answer is C≈28.27cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433cm

Answer:

diameter of 9

radius 4.5

4.5 x 3.14= 14.13

ignore this- the other person got it right. I messed up and can't delete it. Sorry!

Answer:

final answer is 21

Step-by-step explanation:

since x+y=7 and xy=10

2+5=7 and 2(5)=10

so,

(5)3=15  

(2)3=6

15+6= 21

Answer:

Step-by-step explanation:

5x - 2y = 19

-5x + 5y = 5

3y = 24

y = 8

-x + 8 = 1

-x = -7

x = 7

(7, 9)

Hey there!

The correct answer is 50 degrees.

To do this, we can figure out all the angles in the triangle. We know one angle: 45 degrees. To find the angle above that angle, we can use the 95 degrees and use linear angles to figure out that missing angle.

A linear pair adds up to 180 degrees, which means that 95 + (missing angle) = 180. 95 + 85 = 180. Therefore, we have two of the three angles in the triangle.

In a triangle, the number of angles adds up to 180 degrees, which means that 45 + 85 + (angle across from x) = 180. 45 + 85 + 50 = 180.

Now we have all the angles in the triangle.

With that information, we can use vertical angles to solve for x. If there are two lines that intersect, the angles opposite eachother are always equal. The angle opposite of x is 50; therefore x is equal to 50 degrees.

Have a terrificly amazing day! :D

Answer:

[tex]4 - |m|[/tex]

Step-by-step explanation:

The two lines on each side of the m, signify that it is absolute value.

The difference of 4 and the absolute value of m, translates to 4 - |m|

Answer:

it's totally depends on u whether you like to find the value of x or value of y

Answer:

4 years

Step-by-step explanation:

Given data

Principal P=$5000

Rate r= 7.5%

Final amount A=$6500

The expression for the simple interest is

A=P(1+rt)

Substitute

6500=5000(1+0.075*t)

6500=5000+375t

6500-5000=375t

1500=375t

t= 1500/375

t= 4 years

Hence, the time is 4 years

Answer: 5.5 years

Step-by-step explanation:

Answer:

5.55 years or 66.67 months.

Step-by-step explanation:

5.55 years assuming that you are not factoring in interest rates

10000/150 is 66.67 months

divided by 12 months to a year gives you 5.55 years

Answer:

I think its (2, 1) .

Step-by-step explanation:

the 2 represents the x axis

the 1 represents the y axis

Answer:

58

Step-by-step explanation:

To get the average, you add all of the numbers and then divide by the amount of numbers.

51 + 70 + 97 + 63 + 50 + 31 + 59 + 51 +59 + 50 = 581.

581 ÷ 10 = 58.1

Then, rounding 58.1 is 58

Answer:

1. No, Lin is incorrect. If you change both numbers to regular notation, you get that Panama has 4,000,000 residents, and Thailand has 70,000,000 residents. 4 million times 20 is 80 million, not 70 million.

2. 10^8. You need to put 10 to the 8th power because 1 × 10^7 is too little, so it is the next power to use that isn't too small

3. Label each increment 10^7, 2 × 10^7, 3 × 10^7... 9 × 10^7, 10^8.

4. Panama's point would be located 2/5 of the way between 0 and 10^7. Peru's point would be located 1/5 of the way between 3 × 10^7 and 4 × 10^7. Thailand's point would be located right on 7 × 10^7.

*There are files attached for both steps 3 and 4 if you need help visualizing.

Answer:

The product of its roots is 6.

Step-by-step explanation:

Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:

[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)

[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)

According to statement, we know that:

[tex]r_{1}+r_{2} = 7[/tex] (3)

By applying (1) and (2) in (3), we have the following expression:

[tex]\frac{6\cdot m +1}{m} = 7[/tex]

[tex]6\cdot m + 1 = 7\cdot m[/tex]

[tex]m = 1[/tex]

If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:

[tex]x^{2}-7\cdot x +6 = 0[/tex]

[tex]r_{1} = 6[/tex]

[tex]r_{2} = 1[/tex]

And the product of the roots is:

[tex]r_{1}\cdot r_{2} = 6[/tex]

The product of its roots is 6.

Answer:

should be $133.86

Step-by-step explanation:

46.56 divided by 8 to get money per hour, then multiplied by 23 to get money earned after 23 hours

Answer:

2

Step-by-step explanation:

4n-2n=4

2n=4

n=4/2

n=2

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]s = 120 - 12r[/tex]

A linear equation is represented as:

[tex]y = c + mx[/tex]

Where

[tex]c =y\ intercept[/tex] and

[tex]m = slope.[/tex]

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

[tex]s = 120 - 12r[/tex]

[tex]s = 120 - 12 * 5[/tex]

[tex]s = 120 - 60[/tex]

[tex]s = 60[/tex]

60 miles traveled

Solving (b): s = 36

[tex]s = 120 - 12r[/tex]

[tex]36 = 120 - 2r[/tex]

Collect like terms

[tex]2r =120 -36[/tex]

[tex]2r =84[/tex]

Solve for r

[tex]r = 42[/tex]

42 gallons used

Answer:

[tex]P(CD) = \frac{1}{10}[/tex]

Step-by-step explanation:

Given

[tex]AK = 10[/tex]

See attachment for line AK

Required

Probability of choosing CD

From the attachment:

[tex]CD=D-C[/tex]

[tex]CD=3 - 2[/tex]

[tex]CD = 1[/tex]

So:

[tex]P(CD) = \frac{CD}{AK}[/tex]

[tex]P(CD) = \frac{1}{10}[/tex]

Answer:

-0.86602540378  is the decimal form

and the exact form is − √ 3/2  

Answer:

choose option E.

Step-by-step explanation:

Given

t² = 2p + as

.Making s as the subject

as = t² - 2p

s = ( t² - 2p) / a

t² = 2p + as

t² - 2p = as

(t² - 2p)/a = s

s = (t² - 2p)/a , answer = E

Answer:

x = 1/2QN^2

Step-by-step explanation:

Answer:

99x88= 8712 square yards

Answer:

8,670

Step-by-step explanation:

because if 102 dollars per plate you take 102x85 = 8,670

Answer:

8670

Step-by-step explanation:

first you multiply 102 x 85 then you get 8670

Answer:

4,128 books

Step-by-step explanation:

Let

x = number of books

Fixed cost = $44,376

Variable cost = $8.25 per book

Total cost = fixed cost + variable cost

Total cost = 44,376 + 8.25x

Selling price of book = $19 per book

Total revenue = 19x

How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Total cost = Total revenue

44,376 + 8.25x = 19x

44,376 = 19x - 8.25x

44,376 = 10.75x

x =44,376/10.75

x = 4,128 books

The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales

Answer:

31000

Step-by-step explanation:

hope this helps :)

Answer:

31000

Step-by-step explanation:

to be honest i think your answer is 51°