Alden fills his back pack with 0.45 kg of apples,0.18 kg of cheese, and a water bottle that weighs 1.4 kg. How heavy are the contents?

Answers

Answer 1

Answer: .45+.18+1.4=2.03 kilograms.

Answer 2

Answer: 2.03 kg because if you add all it together.
~JZ

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How do you solve for x in x^2+5x=36

Answers

First we want to set the equation equal to zero by subtracting 36 from each side...

x^2 + 5x -36 = 0

Now we factor

(x + 9)(x - 4) = 0

Now set each expression equal to zero and solve...

x + 9 = 0 x - 4 = 0
x = -9 x = 4

Your solution set is

(-9, 4)

Answer: (-9,4)

Step-by-step explanation: First, we set the equation equal to zero by subtracting 36 from both sides to get x² + 5x - 36 = 0.

Next, we factor the left side of the equation

as the product of two binomials.

Since the factors of -36 that add to +5 are +9 and -4,

we have (x + 9)(x - 4) = 0.

This means that either x + 9 = 0 or x - 4 = 0.

Solving each equation from here,

we have x = -9 or x = +4.

So your solution set is (-9,4).

For every hour that Noah studies, his test score goes up 3 points. Explain which is the independent variable and which is the dependent variable. Write an equation modeling the relationship between hours studied h and the increase in Noah's test score s.

Answers

The independent variable is hours and the score or points is the dependent variable .equation is s=3h

The independent variable is the test hours that he studies; because they are not affected by any of the other variables. The dependent variable is the test score; because the amount of the test score depends on the variable of the studied hours.

t=test score
h=hours studied

t+h3

Not sure about the equation though. Might wanna check that. Hope this helps!

NEED HELP ASAP!!! WILL GIVE BRAINLIEST!!!!

Answers

Answer: B

Step-by-step explanation:

An open inequality arrow pointing to the right

The answer would be B

Three quarters of the boats in the marina are white. 4/7 of the remaining boats are blue, and the rest are red. If there are 9 red boats, how many boats are in the marina?

Answers

Answer: 84

Step-by-step explanation:

Let the total number of boats on the marina be x.

Then, The number of white boats= $(3)/(4)x$

then the remaining boats= $x-(3x)/(4)=(x)/(4)$

Now, 4/7 of the remaining boats are blue.

Thus, the number of blue boats= $(4)/(7)*(x)/(4)=(x)/(7)$

The rest of the boats (red boats)= $(x)/(4)-(x)/(7)=(7x-4x)/(28)=(3x)/(28)$

The number of red boats=9

Thus,

$(3x)/(28)=9\n\Rightarrow\ x=(28*9)/(3)\n\Rightarrow\ x=84$

The total number of boats in the marine = 84

There are 84 boats in the marina

Further explanation

Fraction numbers are known as numerator and denominator

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is

$\large{\boxed{\bold{(a)/(b)} }$

a = numerator

b = denominator

Mixed fractions consist of whole number and proper fractions

There are a number of steps in adding fraction operations

1. the denominators must be the same, if not then

a. Multiply top and bottom of each fraction by the denominator of the other. or

b. we can use Least Common Denominator which is the smallest of all the common denominators.

2. Add the numerators and put over the denominator

3. Simplify the fraction

There are several steps to multiply fractions

1. Multiply the numerators
2. Multiply the denominators
3. Simplify the fraction

Three quarters of the boats in the marina are white

we translate this sentence into equation:

Let x = total boats

$\displaystyle white~boat=\boxed{(3)/(4)x}$

$(4)/(7)$ of the remaining boats are blue

$\displaystyle remaining~boat=x~-(3)/(4)x=(1)/(4)x$

$\displaystyle blue~boat=(4)/(7)*(1)/(4)x=(4)/(28)x=(1)/(7)x$

total boats

$\displaystyle total~boats=x=(3)/(4)x+(1)/(7)x+9$

Because the denominator is not the same, so we can use both multiplying or least common denominator.

let we use least common denominator:

List multiples of 7: 7, 14, 21,28,...

List multiples of 4: 4, 8, 12, 16, 20,24,28, ...

the smallest number that is the same: = 28

then addition operation becomes :

$\displaystyle (21)/(28)x+(4)/(28)x+9=x$

$\displaystyle (25)/(28)x+9=x$

$\displaystyle (3)/(28)x=9$

$\large{\boxed{\boxed{\bold{x=84}}}$

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Keywords : boats, marina, fractions

PLEASE HELP I WILL GIVE 5 STAR A HEART AND IF TWO ANSWERS I WILL GIVE U A BRAINLEST A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed. A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half. Each bag of soil covers 40 square yards. How many bags should the farmer purchase? 1 bag 2 bags 3 bags 4 bags

Answers

the answer to this is B or 2 bags

if i did this good the answer is is 2

Is 7 x (6 x t) equivalent to (7 x 6) x t

Answers

Yes the associative property of multiplication allows this to be true

In other words, you can multiply in different groupings and still get the same result

Example: (2*3)*5 = 6*5 = 30 or 2*(3*5) = 2*15 = 30

7 x (6 x t)= 7 x 6t= 42t
(7 x 6) x t = 42 x t= 42t
yes they're equivalent

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