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faltersainse [42]
2 years ago
6

Kelly can read five pages of her fiction book or two pages of her history textbook in seven minutes. If Kelly wants to read thir

ty pages of each book, for how many minutes in total must Kelly read?
Mathematics
2 answers:
Liono4ka [1.6K]2 years ago
6 0

So five pages of her fiction book in 7 minutes. And she must read thirty pages:

30/5 = 6.

6 * 7 = 42 minutes for the fiction book.

So 2 pages of her history book in seven minutes.

30/2 = 15.

15 * 7 = 105 minutes for the history textbook

Add:

42 + 105 = 147 minutes.

Varvara68 [4.7K]2 years ago
5 0

Answer:

147 mins

Step-by-step explanation:

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Find solution to the system of linear equations. 5x1 + x2 = 0 , 25x1 + 5x2 = 0
Zigmanuir [339]

Answer:

the system of equation has infinite solution

Step-by-step explanation:

5x_1 + x_2 = 0 , 25x_1 + 5x_2 = 0

Solve the first equation for x_2

Subtract 5x1 on both sides

5x_1 + x_2 = 0

x_2 =-5x_1

Now substitute -5x1 on second equation

25x_1 + 5x_2 = 0

25x_1 + 5(-5x_1)= 0

25x_1-25x_1= 0

0=0

So the system of equation has infinite solution

5 0
2 years ago
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The track team is trying to reduce their time for a relay race. First they reduce their time by 2.1 minutes. Then they are able
konstantin123 [22]

Answer: 15.7 minutes

Step-by-step explanation:

Let x be the time in the beginning (in minutes).

Given: The track team is trying to reduce their time for a relay race.

First they reduce their time by t_1=2.1 minutes.

Then they are able to reduce that time by t_2=10

If their final time is 3.96 minutes, then

x-t_1-t_2=3.6\\\Rightarrow\ x=3.6+t_1+t_2\\\Rightarrow\ x=3.6+2.1+10\\\Rightarrow\ x= 15.7

Hence, their beginning time was 15.7 minutes.

7 0
2 years ago
David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct s
AURORKA [14]

Answer: We can arrange the steps with help of below explanation.  

Step-by-step explanation:

Here ABC is a triangle,

Draw a perpendicular from BD to side AC ( construction)

where D\in AC

In the right triangle BCD, from the definition of cosine:

cos C =CD/ BC

CD= a cos C

Subtracting this from the side b, we see that

DA= b-acos C  

In the triangle BCD, from the definition of sine:

sin C =BD  / a

BD = a sin C  

In the triangle ADB, applying the Pythagorean Theorem

c^2  =BD^2 +DA^2  

Substituting for BD and DA from (2) and (3)

c^2 =(asinC)^2 +(b-acosC)^2  

⇒c^2 =a^2sin ^2C+b^2-2ab cosC+a^2 cos ^2C   ( On simplification)

⇒c^2 =a^2sin ^2C+a^2 cos ^2C+b^2-2abcos C

⇒c^2=a^2(sin^2C+cos^2C) +b^2-2abcosC

⇒c^2 = a^2+b^2-2abcosC (because,sin^2\theta+cos^2\theta =1 )


3 0
2 years ago
Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
adell [148]

This question is not correct because one of its options was not written correctly.

Correct question:

Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack

and had 1.35 ounces left in total. Which describes a way to determine the number of ounces

sold in each tube of glue?

a) Solve for x in the equation 3x - 0.27 = 1.35.

b) Divide 1.35 by 3 and then subtract 0.27 from the quotient.

c) Subtract 0.27 from 1.35 and the divide the difference by 3.

d) Solve for w in the equation 3 (x - 0.27) = 1.35.

Answer:

a) Solve for x in the equation 3x - 0.27 = 1.35.

Step-by-step explanation:

From the question we are told that 0.27 ounces of glue was sold from a 3 pack glue and we have 1.35 ounces of glue left in total.

The first step would be represent the 3 pack of glue as 3x where x represents each pack of the glue.

Therefore, mathematically, we have the Algebraic equation:

3x - 0.27 = 1.35..... Equation 1

This is because when we solve for x, we would be able to find the number of ounces sold in each tube.

Solving for x in the equation 3x - 0.27 = 1.35.

3x - 0.27 = 1.35.

3x = 1.35 + 0.27

3x = 1.62 ...... Equation 2

3x = The three pack tube containing the glue.

Where x represents each of the tubes.

This means, the three pack tube contained 1.62 ounces of glue.

To find out he amount of glue sold from each pack, we go back to our equation 2

3x = 1.62

x = 1.62 ÷ 3

x = 0.54 ounces.

This means from each tubes, 0.54 ounces of glue was sold.

Therefore, Option a) "Solve for x in the equation 3x - 0.27 = 1.35" is correct.

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2 years ago
Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they red
Alisiya [41]

5 people.

14 + 9 + 12 + 13 + 12 = 60 total pencils.

60 pencils /  5 people = 12 pencils each.

7 0
2 years ago
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