A patient was supposed to take 560mg of medicine but only took 420mg. What percent of the medicine did the patient take?

Answers

Answer 1

Answer: 420 out of 560 = ? We should simplify this question to (divide by 2) 210/280 ///// Then 105/140. Now divide by 5 ////// 21/28 = 3/4. 100% divided by 4 = 25, then 25 * 3 = 75%.
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Describe how you could draw a diagram for a problem about finding the total length for 2 strings, 15 inches long and 7 inches long.

Answers

Answer: You could add the strings together to get 22 inches.

For a diagram of this simply draw two line segments that are right next to each other.

You could measure and label the smaller one with 7 units and the larger one with 15 units. Then, anyone could just count to 22 to find the total.

4. A class has 28 students. The ratio of girls to boys is 4.3. How many girls are inthe class?
A. 21
Girls
B. 16
c. 12
Total

Answers

Answer:

16 girls

Step-by-step explanation:

there are 4 out of 7 girls in the class.

28/7=4 (this is the unite rate per group number)

4 x 4 =16

Step-by-step explanation:

So 4:3 means for 4 girls there are 3 boys. In total, that would be 7.

So, we divide 28 by 7 for 4 meaning 1 in the 4:3 is 4.

And since we are dealing with girls, 4*4=16

To check, 4*3=12 Boys and 16+12=28

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Answers

The first box is 3 more than the quotient of 6 and a number, the second is 6 less than the product of 3 and a number, the third box is the product of 6 and the sum of a number and 3.

Answer:

1= 6 divided by a number times 3

2=6 less than the product of 3 and a number

3=the product of 6 and the sum of a number and 3

Step-by-step explanation:

8x=352 Do I divide the 8 into 352?

Answers

Yes.

$8x = 532 \n\n (8x)/(8)=(532)/(8) \n\n \boxed{x=66.5}$

Answer:66.5

Step-by-step explanation:

Z=2+5i. Convert the complex number to trigonometric form.

Answers

Answer:

$z = √(29) ( \cos \: 68 \degree + i \sin 68 \degree)$

Step-by-step explanation:

The trigonometric form of complex numbers is when the complex number is in polar form.

This is given by

$z = r( \cos \theta + i \sin \theta)$

where the modulus r is given by

$r = \sqrt{{2}^(2) + {5}^(2) }$

$r = √(4 + 25)$

$r = √(29)$

and the argument is given by

$\theta = \tan \:^( - 1) ( (y)/(x))$

$\theta = \tan \:^( - 1) ( (5)/(2))$

$\theta = 68 \degree$

The trigonometric form then becomes:

$z = √(29) ( \cos \: 68 \degree + i \sin 68 \degree)$

You place a mirror on the ground 6 feet from the lamppost. You move back 3 feet and see the top of the lamppost in the mirror. If you are 5 feet tall, what is the height of the lamppost?

Answers

Setting up a proportional relationship between mirror and lamppost, the height of the lamppost is 10 feets.

Height of person, Hp = 5 feets

Distance of person form mirror, Dp = 3 feets

Distance of Lampost from mirror, Dm = 6 feets

HeightofLampost=Hl=?

Setting up a proportional relationship :

$(Hp)/(Dp) = (Hl)/(Dm)$

$(5)/(3) = (Hl)/(6)$

Cross multiply :

Hl × 3 = 6 × 5

3Hl = 30

Hl = (30 ÷ 3)

Hl = 10

Therefore, the height of the lamppost is 10 feets.

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Answer: 10 feet

Step-by-step explanation:

Let h be the height of lamppost.

Since both the person and the lamppost are standing vertical to the ground, making similar right triangles.

Because the two triangles are similar, the ratio of their sides is the same.

Therefore, we have

$\frac{\text{height of lamppost}}{\text{distance of lampost from mirror}}=\frac{\text{height of person}}{\text{distance of person from mirror}}\n\n\Rightarrow(h)/(6)=(5)/(3)\n\n\Rightarrow\ h=(6*5)/(3)\n\n\Rightarrow\ h=10$

Hence, the height of the lamppost = 10 feet.

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