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3 years ago

Given: - 1/2 x > 4

1 answer:

5 0

$-\dfrac{1}{2}x > 4\qquad|\text{change the signs}\\\\\dfrac{1}{2}x < -4\qquad|\cdot2\\\\x < -8\to\{x|x\in\mathbb{R},\ x < -8\}\to\boxed{B.}$

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Mrs. Jones bought 6 kilograms of rice. After filling 10 containers with the same

9966 [12]

There are 514 gram rice in each container.

Step-by-step explanation:

Given,

Amount of rice = 6 kg

1 kg = 1000 g

6 kg = 6*1000 = 6000 g

Number of containers = 10

Rice left = 860 g

Let,

x be the amount in each container.

Total amount of rice - Number of containers*Amount in each container = Amount of rice left

$6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140$

Dividing both sides by 10

$\frac{10x}{10}=\frac{5140}{10}\\x=514$

There are 514 gram rice in each container.

Keywords: linear equation, division

Learn more about division at:

#LearnwithBrainly

8 0

3 years ago

Solve for x. Round to the nearest tenth, if necessary.

e-lub [12.9K]

Answer:

$\boxed {\boxed {\sf x \approx 1.9}}$

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

sinθ= opposite/hypotenuse
cosθ= adjacent/hypotenuse
tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

$sin \theta = \frac {opposite}{hypotenuse}$

θ= 54
opposite= x
hypotenuse = 2.3

$sin (54)= \frac{ x}{2.3}$

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

$2.3* sin (54)= \frac{x}{2.3}*2.3$

$2.3* sin (54)=x$

$2.3*0.8090169944=x$

$1.860739087 =x$

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

$1.9 \approx x$

x is approximately 1.9

7 0

2 years ago

sergeinik [125]

Answer:

14.11

Step-by-step explanation:

.83*16.5=14.11

8 0

2 years ago

Read 2 more answers

Ricardo spends 8/9 hour reading the newspaper.he spends 1/4 of the time reading the world news and splits the remaining time equ

guajiro [1.7K]

If he spends 1/4 reading the news, then he spends 3/4 reading the other stuff

3/4 * 8/9 = 24/36 = 2/3 of an hr ...time spent reading sports and comics

(2/3) / 2 =
2/3 * 1/2 = 2/6 reduces to 1/3....so he spends 1/3 of an hour (or 20 minutes) reading the comics

3 0

2 years ago

Find the value of x in the triangle shown below

lesya692 [45]

Answer:

x=70

Step-by-step explanation:

the angles opposite 3.5 equal 55 degrees

180-55-55=70

3 0

3 years ago

Read 2 more answers