1) Diego drank x ounces of juice. Lin drank 1/4 less than that

2) Lin ran x miles. Diego ran 3/4 more than that

3) Diego bought x pounds of almonds Lin bought 1/4 of that


(Drag and drop plz help)

Answer:

5/12

Step-by-step explanation:

The whole book is 1.

So This will be your equation.

1/3 + 1/4 = 1

4/12 +3/12 = 1

7/12 = 1

Now you minus 7/12 from 1

1-7/12 is how much is left

12/12-7/12= 5/12

The fraction that represents the book john has left to read is 5/12.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.

Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -

1/3 + 1/4 + x/y = 1

x/y = 1 - 7/12

x/y = 5/12

Therefore, the fraction that represents the book john has left to read is 5/12.

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Answer:

k47n4

Step-by-step explanation:

Answer: would it be the 12th year and a half

Step-by-step explanation: because since it increases then half of the year it would be $30,400

Step-by-step explanation:

2^400=2^(2×200)

2^(2×200) =[2^(2) ]^200

Now, [2^(2) ]^200=4^200

The power  of 2 in 400! is 397.

Let p is the prime number whose power is to be found

Let n is the factorial number then

p in n! = (n /p) + (n/p²) +(n/p³) + .......

until Numerator < Denominator

and after division only the integer part is taken

Therefore to determine the power of 2 in 400!

2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D

2 in 400! = 200 +100 +50+25+12+6+3+1

2 in 400 = 397

Therefore the power  of 2 in 400! is 397.

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Answer:

From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.

(a)x y : x is negative and y is positive

⇒negative x positive = negative

Therefore, xy is negative

(b)x[tex]y^{2}[/tex] :  x  is negative and [tex]y^{2}[/tex] is positive

⇒negative x positive = negative

Therefore, x[tex]y^{2}[/tex] is negative

(c) (x − y)xy : x  is negative and [tex]y^{2}[/tex] is positive

⇒(x − y) is negative and xy is negative {from (a)}

⇒negative x negative = positive

Therefore, (x-y)xy is negative

(d) y(y − x): x is negative and y is positive

here y - x is positive

⇒positive x positive = positive

Therefore, (y-x)y is negative

Answer:

4.5m

Step-by-step explanation:

The set up is a right angles triangle

Height of the shed = opposite side = 6cm

Distance of the ladder from the shed = adjacent = 4.5m

Lenght of the ladder = Hypotenuse = x

Using pythegoras theorem to find the length of the ladder

hyp² = opp²+adj²

hyp² = 0.06² + 4.5²

hyp²= 0.0036+20.25

hyp² = 20.2536

hyp = √20.2536

hyp = 4.50m

Hence the length of the ladder is 4.5m

Answer: the answer is 7

Step-by-step explanation:

first you divide the price by four then add a quarter to the original amount. gl

Answer:

1.5

Step-by-step explanation:

6/4=3/2

3/2=1 1/2

or

1.5

Answer:

1.5

Step-by-step explanation:

Answer: None of the choices is correct.

6,714÷103 is about 65.184

Step-by-step explanation:

The closest answer is the second choice. But there must be a typo in the question.

6,714÷100 = 67.14

I hope this helps. You might be able to ask your teacher about the mistake in the question.

Answer:

Slope = -⁵/2

y-intercept = 6

Step-by-step explanation:

The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b

Where:

m = slope

b = y-intercept

Therefore:

Slope of the equation = -⁵/2

y-intercept if the equation = 6

Answer:

18%

Step-by-step explanation:

First, we need to find out the underage of 15 for walking/biking. 152-65=87

then we subtract 87 and 60 from 165 to get 18%

Answer:

Length, L = 9 feet.

Width, W = 11 feet.

Step-by-step explanation:

Given the following data;

Perimeter = 40 feet

Length = 3x

Width = 2x + 5

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

40 = 2(3x + 2x +5)

40 = 2(5x + 5)

40 = 10x + 10

10x = 40 - 10

10x = 30

x = 30/10

x = 3

Now, to find the length;

Length, L = 3x

Substituting into the equation, we have;

Length, L = 3*3

Length, L = 9 feet

To find the width;

Width, W = 2x + 5

Substituting into the equation, we have;

Width, W = 2(3) + 5

Width = 6 + 5

Width, W = 11 feet.

Answer:

associative property

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like

Answer:

They are both the same

Step-by-step explanation:

(ratio of brown eyes to blue eyes)

Ms. Abbott's class- 18:12

Ms. Downey's class-  15:10

if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.

Answer:

Step-by-step explanation:

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Answer:

4,5 miles

Step-by-step explanation:

60*2=120

120/12=10

1 mile every 10 minutes

45/10=4,5

Answer:

a)x=-2.5 or x=1

Step-by-step explanation:

it's the answer

hope It helps

Answer: yes

Step-by-step explanation:

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

(-8, 6)

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is:

y = -4 + 38

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

We have given that,

An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1

(-8, 6)

y=mx+b

Where m is the slope

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is y = -4 + 38.

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Answer:

C)  6 inches

Step-by-step explanation:

(√72)² = x² + x²

72 = 2x²

72/2 = x²

36 = x²

√36 = √x²

6 = x

x = 6 inches

Answer:

By Pythagoras theorem, we get

[tex] {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}[/tex]

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

Answer:

5^8 .. you have to do it like this 5^(2×4)

Answer:

Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

48 + 8.80

56.8 + 8.80

65.6 +8.80

74.4 + 8.80

83.2 +8.80

92 + 8.80

100.8

Answer:

ok Naruto

Step-by-step explanation:

49.6

Question

Find cos θ for θ = 60°

C A B E D

i think this is the answer

Answer:

A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.