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WARRIOR [948]
3 years ago
7

Factor this expression completely. −3x − 12

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer:

-3(x+4)

Step-by-step explanation:

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On a recent trip to the convenience store, you picked up 4 gallons of milk, 6 bottles of water and 5 snack size bags of chips. Y
cricket20 [7]

Answer:

Cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

Step-by-step explanation:

Let the cost of water bottle = $a

Cost of 1 gallon milk = $b

and cost of 1 bag of chips = $c

So, cost of 4 gallons of milk, 6 bottles of water and 5 bags of chips = $(4b + 6a + 5c)

4b + 6a + 5c = 27.2 -----(1)

Cost of one water bottle = 2 × cost of one bag of chips

a = 2c -----(2)

A gallon of milk = cost of water bottle + $1.80

b = a + 1.8

From equation (2)

b = 2c + 1.8 -----(3)

Now we substitute these values from equations (2) and (3) in equation (1)

4(2c + 1.8) + 6(2c) + 5c = 27.2

8c + 7.2 + 12c + 5c = 27.2

25c = 27.2 - 7.2

c = \frac{20}{25}

c = $0.8

From equation (2)

a = 2×0.8

a = $1.6

From equation (3)

b = 2(0.8) + 1.8

b = 1.6 + 1.8

b = $3.4

Therefore, cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

5 0
4 years ago
See image, finding the height of a triangle with law of sines
djyliett [7]

Answer:

height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)

Step-by-step explanation:

The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117

°.

angle TDE = 117°

angle DTE = 180° - 117° - 31° = 32°

DE = 346.4 m

Side TD can be find using sine law

346.4/sin 32° = TD/sin 31°

cross multiply

346.4 × 0.51503807491  = 0.52991926423TD

178.409189149  = 0.52991926423TD

divide both sides by 0.52991926423

TD = 178.409189149/0.52991926423

TD  =  336.672397461

TD ≈ 336.67 m

The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.

Using sin ratio

sin 63° = opposite/hypotenuse

sin 63° = h/336.67

cross multiply

h = 336.67 × 0.89100652418

h = 299.975166498

height of the Eiffel tower  ≈ 300.0 m(nearest tenth of a meter)

4 0
3 years ago
Mario found this relationship between the quantities in the table? Which error did Mario make?
wlad13 [49]
Mario made the mistake on everything and he needs help
6 0
3 years ago
Marcos is in charge of counting cans for the food drive. He organizes the cans in 6-by-8 arrays, and he has 10 of these arrays.
V125BC [204]

Answer:

The final answer is NO, i.e. He does not have at least 500 cans.

Step-by-step explanation:

He organizes the cans in 6-by-8 arrays.

The number of elements in the array can be found by finding the multiplication of its Rows numbers with its Columns numbers.

Given the array is of order 6-by-8. So the elements in the array = 6x8 = 48 elements.

And he has 10 of these arrays. So total cans = 48 x 10 = 480 cans.

Hence, the final answer is NO, i.e. He does not have at least 500 cans.

6 0
3 years ago
What is equal to 275%
Alla [95]
As a decimal, you would have to divide 275 by 100 

275/100 = 2.75
7 0
3 years ago
Read 2 more answers
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