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Sholpan [36]
2 years ago
5

Consider the equations y = 3x and y = -12- x.

Mathematics
1 answer:
jasenka [17]2 years ago
5 0

Answer:

x | -7      -5     -3  

y | -21    -15    -9

Step-by-step explanation:

y = 3x

If x = -7  then y = 3 × (-7) = -21

  x = -5  then y = 3 × (-5) = -15

  x = -3  then y = 3 × (-3) = -9

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The area of a parallelogram is 120 cm ^ 2 and the height is 30 cm . Find the corresponding base
const2013 [10]

Answer:

4 cm

Step-by-step explanation:

The Area of a parallelogram is given by :

Area = base * height

Area = 120 cm² ; height = 30

Area = base * height

120 = base * 30

Base = 120 / 30

Base of parallelogram = 4 cm

3 0
3 years ago
Shannon was born on 04/02/2004. How many eight-digit codes could she make using the digits in her birthday?
LuckyWell [14K]

Answer:

24 eight-digit code.

Step-by-step explanation:

Frequency : 0 : 4

                    2 : 2

                    4 : 2

In total there are Eight (8) numbers and 3 frequent number ( which are 0, 2, 4 )

∴ 8 × 3 = 24.

6 0
3 years ago
An architect has his floor plan for a house he is building. The foundation for the house has already been laid and measures 300
wlad13 [49]

Answer:

12

Step-by-step explanation:

You divide 300 by 25

300/25=12

His house is 12 in long on the floor plan

7 0
3 years ago
PLEASE HELP ME!!!!!!
Sonja [21]

Answer:

\huge \red{ c_3 = - 1}

Step-by-step explanation:

c_1 = 1 \\  \\ c_n= - 2c_{n-1}+5 \\  \\ c_2 = - 2c_{2-1}+5 \\  \\ c_2 = - 2c_{1}+5 \\  \\ c_2 = - 2(1)+5 \\  \\ c_2 = - 2+5 \\  \\  \huge \purple{c_2 =3} \\  \\ c_3 = - 2c_{3-1}+5 \\  \\ c_3 = - 2c_{2}+5 \\  \\ c_3 = - 2(3)+5 \\  \\ c_3= - 6+5 \\  \\ \huge \red{ c_3 = - 1}

6 0
3 years ago
Suppose an apple picker in China earns an average wage of 45 cents per hour. An apple picker can harvest about 2.0 bushels of ap
Eduardwww [97]

Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

126 × 2

= 252 apples

Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

Converting 3.98 cents to dollars

100 cents = 1 dollar

3.98 cents =

= 3.98/100

= 0.0398 dollars.

Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

8 0
3 years ago
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