Evaluate the given expression 2/3+1/9

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melisa1 [442]

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

#Carry on Learning

6 0

3 years ago

Three of Santas helpers are a combined height of 11 feet and 6 inches. Clem is 15 inches shorter than Clyde who is 6 inches tall

Tresset [83]

Answer:

Clem's Height =38 Inches

Clyde's Height= 53 Inches

Chloe's Height = 47 Inches

Step-by-step explanation:

Let Clem's height be x, Clyde's height be y and Chloe's height be z

As given

x+y+z=11 feet 6 inches

As 1 Foot= 12 Inches so (11*12+6)=138

x+y+z= 138 inches (Equation 1)

Clem is 15 inches shorter than Clyde so:

x+15=y (Equation 2)

Clyde is 6 inches taller than Chloe

z=y-6 (Equation 3)

Putting z's value from equation 3 in equation 1

x+y+y-6=138

x+2y=138+6

x+2y=144 (Equation 4)

Putting Value of y from equation 1 in equation 4

x+2(x+15)=144

x+2x+30=144

3x=144-30

x=114/3

x=38

Putting x's value in equation 1 to get the value of y

38+15=y

y=53

Putting value of y in equation 3

z=53-6

z=47

Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not

38+53+47=138

138=138

3 0

4 years ago

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40 how much would it cost to provide coffee for the whole

N76 [4]

Answer:

It would cost 15600 to provide coffee for the whole year.

Step-by-step explanation:

Given:

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40

Now, to find the cost to provide coffee for the whole year if you're place is open 5 days a week.

So, we have the unit rate, and we have to find the cost of 1.5 cup by multiplying 0.40.

1.5 cup of coffee cost $1.5\times 0.40=0.60.$

Thus, 1.5 cup cost 0.60.

If, 100 people drink 1.5 cups.

Then, total cost of 100 people drinking 1.5 cups of coffee = $100\times 0.60=60$

As, place is open 5 days a week.

So, to get the cost of coffee in 5 days of a week we multiply 5 by 60:

$5\times 60\\\\=300.$

Hence, the cost of coffee in a week is 300.

In 1 year there are 52 weeks.

Now, to get the cost for the whole year we multiply 52 by 300:

$52\times 300\\\\=15600.$

Therefore, it would cost 15600 to provide coffee for the whole year.

6 0

3 years ago

Read 2 more answers

(3n)3 without exponent

enyata [817]

Distributive property: 3x3 and 3xn
So... 9x3n which becomes
27n

8 0

4 years ago

Joelle was asked to find the missing endpoint of a segment when given an endpoint of –6 +3i and a midpoint of –13 + i. Her work

shtirl [24]

Answer:

C

Step-by-step explanation:

$\frac{-6+a}{2} =-13\\-6+a=-13*2\\a=-26+6\\a=20\\\frac{3i+b i}{2}=i\\\\ \\3+b=2\\b=2-3=-1\\$

middle point is 20-i

3 0

4 years ago

Read 2 more answers