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valentina_108 [34]
3 years ago
13

Use the commutative property to identify which expression is equal to (3+4) x9

Mathematics
1 answer:
irinina [24]3 years ago
4 0
The correct answer is A) 9x(3+4)
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A woodworking artist makes two types of carvings: type X and type Y. He
ivolga24 [154]

Answer:

part C. 3x + 2y <u>< </u>30, 5x + 7y <u><</u> 105

Step-by-step explanation:

Part 1:

spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.

spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.

Part 2:

he can spend up to 30 hours each week making carvings. (<u><</u>30)-because he cannot spend more than 30 hours

Therefore, He has to spend 30 hours or less to make type X and type Y.

3x + 2y <u>< </u>30

Part 3:

His  materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.

His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.

Part 4:

he must keep his weekly cost for materials to $105 or less (<u><</u>105)-total cost cannot be more than $105.

Therefore, the total cost of making x and y should be $105 or less.

5x + 7y <u><</u> 105

!!

6 0
3 years ago
The perimeter of a rectangular field is 60ft and its width is 20ft find the area of this field
Gennadij [26K]

Perimeter of rectangle = 2( length +width)

given: Perimeter=60 ft and width=20 ft

plugging these values in the formula,

60=2(20+ length)

dividing both sides by 2

30=20+length

length =30-20=10

length is 10 feet

width is 20 feet

Area of rectangle is given by:

Area = l*w

Area = 10 *20 = 200 square feet

Answer : Area of rectangle is 200 square feet.

4 0
4 years ago
Read 2 more answers
Given an equation x3 - 8x2 - 9x + 72 = 0, find the zeros.
sveta [45]

Answer:

= 28/3

Step-by-step explanation:

Let's solve your equation step-by-step.

x(3)−(8)(2)−9x+72=0

Step 1: Simplify both sides of the equation.

x(3)−(8)(2)−9x+72=0

3x+−16+−9x+72=0

(3x+−9x)+(−16+72)=0(Combine Like Terms)

−6x+56=0

−6x+56=0

Step 2: Subtract 56 from both sides.

−6x+56−56=0−56

−6x=−56

Step 3: Divide both sides by -6.

−6x

−6

=

−56

−6

x=

28

3

Answer:

x=

28

3

7 0
3 years ago
Select the correct images on the graph.
MatroZZZ [7]

Answer:

the dark purple in the bottom, brown reddish one light purple one in the bottom

Step-by-step explanation:

5 0
3 years ago
The average of three numbers is 45. two of the numbers are equal. the last number is 89. what are the two missing numbers?
trasher [3.6K]
The average of a set of data is equal to the sum of the values divided by the number of data present. So, if we have three numbers, the average would be:

let x, y and z represent the three numbers
average = x + y + z / 3 = 45

Two number are equal in value, so let x = y. Substituting the value to the expression of average,

45 = x + x + z / 3
45 = 2x + z / 3

It said that the last number is 89 so z is equal to 89.

45 = 2x + 89 / 3
135 = 2x + 89
46 = 2x
x = 23

Therefore, the two numbers are both 23.
4 0
3 years ago
Read 2 more answers
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