What is 30 miles in 5 hours the rate and the unit rate because I need help

If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle

SOVA2 [1]

Answer:

35cm

Step-by-step explanation:

Given data

Length= 21cm

Width= 28cm

Diagonal= ???

Applying Pythagoras theorem

D^2= L^2+W^2

D^2= 21^2+28^2

D^2= 441+784

D^2= 1225

D= √1225

D= 35cm

Hence the diagonal is 35cm

4 0

3 years ago

If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200

12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

$1000x = 200$

$x = \frac{200}{1000}$

$x = 0.2mg$

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

$x = 60*0.2$

$x = 12mg$

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

$123x = 250*12$

$x = \frac{250*12}{123}$

$x = 24.39$ mL

24.39mL of the solution would be given per hour.

7 0

3 years ago

Value of x is 3.2x-9.6=38.4?

Svetradugi [14.3K]

Answer:

The steps that can be done to both sides of the equation is: Add 9.6, then divide by 3.2

Step-by-step explanation:

Solve the equation:

$3.2x - 9.6 = 38.4$

-First you add both sides 9.6:

$3.2x -9.6 +9.6 = 38.4 +9.6$

$3.2x = 48$

-Then, you divide both sides by 3.2:

$\frac{3.2x}{3.2} = \frac{48}{3.2}$

$x=15$

7 0

3 years ago

Select all equations that can represent the question: "How many groups of 45 are in 1?" A ?⋅1=45? Times 1 is equal to 4 fifths B

Aleonysh [2.5K]

This question is not correctly written.

Complete Question

Select all equations that can represent the question: "How many groups of 4/5 are in 1?" A ?⋅1=4/5? Times 1 is equal to 4 fifths B 1⋅4/5=?1 times 4 fifths is equal to ? C 4/5÷1=?4 fifths divided by 1 is equal to ? D ?⋅4/5=1? Times 4 fifths is equal to 1 E 1÷4/5=?1 divided by 4 fifths is equal to ?

Answer:

D ?⋅4/5=1 = ? Times 4 fifths is equal to

E 1÷4/5=? = 1 divided by 4 fifths is equal to

Step-by-step explanation:

How many groups of 4/5 are in 1?

The operation used to solve this is that Division operation.

Hence, we solve it by saying:

1 ÷ 4/5 = ?

= 1× 5/4 = ?

5/4 = ?

Cross Multiply

5 = 4 × ?

? = 5/4

The equations that can represent the question: is

Option D ?⋅4/5=1 = ? Times 4 fifths is equal to

Option E 1÷4/5=? = 1 divided by 4 fifths is equal to

7 0

2 years ago

Clara is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Clar

Vinil7 [7]

Answer:

Clara's body eliminated the antibiotic at the same rate as Heidi's body.

5 0

2 years ago

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