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zmey [24]
3 years ago
11

Jina is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13 liters has splashed out

of the tank. Her goal is given by
15x-13 < 77, where x is the number of minutes she pumps water into the tank.
First, solve the given inequality and graph the solution on the number line below.
Then, choose and complete the statement that best describes the solution
Mathematics
1 answer:
baherus [9]3 years ago
8 0

Step-by-step explanation:

subtract-13 from -13 get zero

then, subtract 13 from 77 =64

then do divide 15 from 15

then divide 15 from 64 = 4.26 repeat

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What is the area of the trapezoid to the nearest tenth? <br> PICTURE BELOW ⬇⬇⬇⬇
Nastasia [14]

Answer:

  62.4 ft²

Step-by-step explanation:

The unmarked horizontal dimension at the bottom of the triangle is ...

  (8 ft)sin(30°) = 4 ft

The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...

  (8 ft)cos(30°) ≈ 6.93 ft

Then the area of the trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²

_____

The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.

  Sin = Opposite/Hypotenuse   ⇒   Hypotenuse×Sin = Opposite

  Cos = Adjacent/Hypotenuse   ⇒   Hypotenuse×Cos = Adjacent

6 0
3 years ago
if a shoelace drawer is 12.49 inches and a paperclip drawer is 4.579 inches about how many inches wider is the shoelace drawer t
sammy [17]

The shoelace drawer is 7.911 inches wider than the paperclip drawer.

<h3>Measurement difference between two drawers</h3>

The height of shoelace drawer is = 12.49 inches

The height of paperclip drawer is = 4.579 inches

Therefore the measurement difference between the two drawer is = 12.49 inches - 4.579 inches

= 7.911 inches

Therefore, the shoelace drawer is 7.911 inches wider than the paperclip drawer.

Learn more about measurements here:

brainly.com/question/25770607

#SPJ1

7 0
2 years ago
The width of a rectangle is seven less than one-fifth its length. If L is used to represent the length of the rectangle, then ho
Dima020 [189]

Answer:check the pic

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
xenn [34]

Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em>\times<em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em>\times<em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Probability of selecting a water bottle:

\dfrac{30}{50} = \dfrac{3}{5}

Probability of selecting a lemon flavored bottle from water bottle:

\dfrac{8}{30}

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

\dfrac{20}{50} = \dfrac{2}{5}

Probability of selecting a lemon flavored bottle from tea bottle:

\dfrac{5}{20} = \dfrac{1}{4}

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em>\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}<em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

8 0
4 years ago
The value of y varies directly with x. If x = 2, then y = 10. What is the value of x when y = 100? *​
Fynjy0 [20]

Answer:

20

Step-by-step explanation:

y=kx

X=2 & y= 10

10=2k

k=5

when y=100

100=5x

X=20

8 0
3 years ago
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