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Dimas [21]
3 years ago
6

Solve the inequality for y. y + 6 < 17 Simplify your answer as much as possible.

Mathematics
2 answers:
Shkiper50 [21]3 years ago
7 0

Answer:  y < 11

<u>Step-by-step explanation:</u>

Isolate y by subtracting 6 from both sides:

y + 6 < 17

<u>   -6  </u>  <u> -6 </u>

y       < 11

Graph: open dot at 11 and arrow to the left

<----------o 11

Interval Notation: (∞, 11)

Alisiya [41]3 years ago
5 0

Answer:

11

Step-by-step explanation:

y+6<17

y<17-6

y<11

y=...-1,0,1,2,3,4,5,6,7... 10

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Kamau bought 50 kg of sugar for sh 4000
Nana76 [90]

Answer:

Profit % =50%

Step-by-step explanation:

Cost of 50 kg = sh 4000

Selling price of 1kg = sh 120

Selling price of 50 kg = sh 6000

profit \% = \frac{Selling \ price - cost \ price}{cost \ price} \times 100\\

            =\frac{6000 - 4000}{4000} \times 100\\\\=\frac{2000}{4000} \times 100\\\\=\frac{1}{2} \times 100\\\\=50 \%

7 0
3 years ago
14 Type the correct answer in each box. Use numerals instead of words. a Ava, Lucas, and Maria are playing a game where they pas
jeka94

Answer:

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

Step-by-step explanation:

The cosine and tangent functions are useful here. The relevant relations are ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...

  cos(40°) = 12/ma

  ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet

__

The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...

  tan(40°) = ml/12

  ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet

__

The angle formed at Maria's position is the complement of the other acute angle in the right triangle:

  M = 90° -40° = 50°

In summary, ...

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

5 0
2 years ago
Select all of the expressions which show how to convert 2.5 yards into inches.
PIT_PIT [208]

Answer:

90

Step-by-step explanation:

4 0
3 years ago
a stack of cards is placed next to a ruler, and the height of stack measured to be 3/4inches. how thick is one card
4vir4ik [10]

Total thickness of the stack of cards = 3/4 inch or 0.75 inch

In a full stack of cards, there are 52 cards.

Hence, the thickness of 52 cards = 0.75 inch.

To find the thickness of one card, we divide the total thickness with the total number of cards.

Thickness of one card = \frac{0.75}{52} = 0.014423 inch

1 inch = 2.54 cm

0.014423 inch is approximately equal to 0.34 cm.

Answer = 0.34 cm

7 0
3 years ago
The following lines are parallel.<br> 4x + 2y = 8 and y = 2x + 4<br> True<br> False
Alenkasestr [34]
I believe the answer is True ! Hope this helps you
5 0
3 years ago
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