jake set up a study schedule the plan called for him to study 1/4 hour 5/8 hour and 1 hour on Monday Tuesday and Wednesday in that order. if he continues with his pattern how long will he study friday

Answers

Answer 1

Answer: I think it is 1 7/8 since 1/4 plus 5/8 plus 1 equals 1 7/8

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What is the best estimated for the sum of 3/8 and 1/12
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(0.5x - 4 - (1.5x + 2.3)

Answers

Answer: 1/10(-10x-63)

Step-by-step explanation:

1) decimals to fractions

1/2x-4-(3/2x+23/10)

2) factor

1/2(x-8)-1/10(15x+23)

3) factor out 1/10

1/10[5(x-8)-(15x+23)]

4) distribute 5 through ()’s

1/10(5x-40-15x-23)

5) collect like terms

1/10(-10x-63)

If two thirds of a number is decreased by 4, the result is 56. find the numberif 38 is added to 5/9 of a number, the result is 128. find the number

the sum of 3/5 of a number and 2.3 is 14.6. find the number.

Answers

$56+4=60\n\n60*3=180\n\n180:2=\fbox{90}\n\nCHECK:\n(2)/(3)*90-4=2*30-4=60-4=56$

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$128-38=90\n\n90*9=810\n\n810:5=\fbox{162}\n\nCHECK:\n\n38+(5)/(9)*162=38+5*18=38+90=128$

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$14.6-2.3=12.3\n\n12.3*5=61.5\n\n61.5:3=\fbox{20.5}\n\nCHECK:\n\n(3)/(5)*20.5+2.3=3*4.1+2.3=12.3+2.3=14.6$

Let the number be x
There are actually 3 different statements -

1. two-thirds of a number decreased by 5 is 56
2*x/3 - 4 =56
2*x/3=60
x=90

2. 38 added to 5/9 of number gives 128
i.e 5*x/9 + 38 = 128
5*x/9 = 90
x = 162

3. sum of 2.3 and 3/5 of number gives 14.6
i.e 2.3 + 3*x/5 = 14.6
3*x/5 = 12.3
x = 4.1*5
x = 20.5

kelsey made 2 pitchers of lemonade each pitcher holds 6 cups she poured 4 cups of lemonade from one pitcher what fraction of the lemonade is left?

Answers

well, easy . all u need 2 do is add one pitcher (6/6) with the remains of the other pitcher (2/6) = 8/6 which turns into 1 and 2/6 which is 1 and 1/3

An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below:b = k + 10
b = −k + 8

Which is a correct step to find k and b?
Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis. Add the equations to eliminate k. Multiply the equations to eliminate b.

Answers

Answer:

Add the equations to eliminate k.

Step-by-step explanation:

When we add the equations we get

$2b =18$

$\boxed{b=9}$

next we put $b=9$ into $b=k+10$ and solve for k:

$9=k+10\n\n\boxed{k=-1}$

this way we have found k and b; therefore, adding the equations to eliminate k is a correct step for finding k and b.

Let us now look at other choices we were given.

Write the points where the graphs of the equations intersect the x axis.

These points may be the solutions to each equation, but they are not the solutions to the system of these two equations.

Write the points where the graphs of the equations intersect the y axis.

Same thing goes here: these points may be the solutions to each equation, but they are not the solutions to the system of these two equations.

Multiply the equations to eliminate b.

Multiplying the equations doesn't eliminate b, but rather it complicates the matter by producing a quadratic equation—we don't want to go down that road!

Solve by completing the square

x^2-6x-16=0

Answers

Answer:

x = 8 or

x = -2

Step-by-step explanation:

Completing The Square:

x² - 6x - 16 = 0

Here,

a = 1

b = -6

c = -16

Now,

x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0

x² - 6x + (6/2)² - (6/2)² - 16 = 0

x² - 6x + (3)² - (3)² - 16 = 0

(x - 3)² - 9 - 16 = 0

(x - 3)² - 25 = 0

(x - 3)² = 25

x - 3 = +-√25

x - 3 = +- 5

x = 3 +- 5

x = 3 + 5 or x = 3 - 5

x = 8 or x = -2

Hope it's helpful

Answer:

Step-by-step explanation:

Which fraction is greater 6/6 or 6/8

Answers

First, turn both fractions in to a decimal, in order to do that you have to divide.

(6 divided by 6 = 1.00) and (6 divided 8 = .75)

Second, turn both decimals into a percent by moving the decimal to the right two times

(1.00 turned into 100) and (.75 turned into 75)

Third, Simply add a percentage sign after the number.

(100 turned into 100%) and (75 turned into 75%)

Finally, see what percentage is greatest.

100% or 75%

100% is greater, so 6/6 is your answer

Find a common denominator. The easiest way to do this is by multiplying 6 × 8 (=48.)

So now we have to make the numerators match the denominators, so multiply 6 by 8 for the first fraction, and 6 by 6 for the second frcation.

The first fraction now becomes:

$(48)/(48)$

whereas the second fraction now becomes:

$(36)/(48)$

Now it should be easier to see, so you tell me, which one is bigger?

$(48)/(48)$ or $(36)/(48)$ ?

Obviously it's the first one, as 48 is a bigger number than 36, so the correct answer is 6/6.

(Side note: whenever the numerator is the same as the denominator, it means that it is just 1 in decimal. Therefore, any other normal fraction (e.g. 6/8) would be smaller.)

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