Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How many grams of fat are contained in all the lemonade Samantha has for the party?

Answer: 1.57 x 104

Step-by-step explanation: How to Convert a Number to Scientific Notation

The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

Answer:

The equation representing the relationship between x and y is that;

4y = 3x

Step-by-step explanation:

Here, we want to write a relationship.

From the question, we are told that the amount donated by the family which is x dollars is proportional to what local businesses gave.

From the question, there was an example in which a family gave $12 and local businesses gave $9

So let us establish a relationship using ratio of x to y

Thus;

12/9 = x/y

12y = 9x

4y = 3x

Answer:

y=-3x-10.5

Step-by-step explanation:

Let's use the first set of numbers.

-7.5 and 12

-3.5 and 0

Our rise here is -12 and run is 4.  So, our slope is -3.

Now we just need our intercept.

y = mx + b

y = -3x + b

0 = -3(3.5) + b

b = -10.5

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The table represents some points on the graph of a linear function.

 х           у

-7.5        12

-3.5        0

  -1       -7.5

  2       -16.5

3.5       -21

Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,

y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)

y = - (1/3)(x + 3.5)

3y = - x - 3.5

x + 3y + 3.5 = 0

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

More about the line passing through two points link is given below.

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Answer:

0.4375

Or Fraction

7/16

Answer:

x=1

Step-by-step explanation:

subract 4.3 from both sides. add x to both sides. divide by 2.2 from both sides

The solution to the equation 1.2x + 4.3 = 2.1 - x is x = -1.

Given is an equation 1.2x + 4.3 = 2.1 - x, we need to solve for x,

To solve the equation 1.2x + 4.3 = 2.1 - x, we can follow these steps:

1. Combine like terms on both sides of the equation:

1.2x + x = 2.1 - 4.3

2. Simplify the equation:

2.2x = -2.2

3. Divide both sides of the equation by 2.2 to isolate x:

x = -2.2 / 2.2

4. Simplify the right side of the equation:

x = -1

Therefore, the solution to the equation 1.2x + 4.3 = 2.1 - x is x = -1.

Learn more about equation click;

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Answer: These Lines are Parallel

Step-by-step explanation: For two lines to be parallel, they must have the same slope with different y-intercepts. Both of the lines above have a slope of 3 and differing y-intercepts of 4 and -5. Therefore, these lines must be parallel to one another.

Answer:

one sec sorry

Step-by-step explanation:

U can use the cross multiplication to find out

5/8 = x/100

x=5/8 * 100

x= 62.5

Your final answer: 62.5/100

Hope this does it

P.S

Plz mark brainliest?

Answer:

x = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x + 29 (x − 3) = 7x − 6

5x + (29) (x) + (29) (−3) = 7x + −6 (Distribute)

5x + 29x + −87 = 7x + −6

(5x + 29x) + (−87) = 7x − 6 (Combine Like Terms)

34x + −87 = 7x − 6

34x − 87 = 7x − 6

Step 2: Subtract 7x from both sides.

34x − 87 −7x = 7x −6 −7x

27x − 87 = −6

Step 3: Add 87 to both sides.

27x − 87 + 87 = −6 + 87

27x = 81

Step 4: Divide both sides by 27.

27x/27 = 81/27

x = 3

Hope it helps!!

Answer:

[tex]x=0[/tex], or [tex]0=0[/tex]

Step-by-step explanation:

[tex]5x+2\left(x-3\right)=7x-6[/tex]

[tex]Expand\:2(x-3):2x-6[/tex]

[tex]5x+2x-6=7x-6[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:5x+2x=7x[/tex]

[tex]7x-6=7x-6[/tex]

[tex]\mathrm{Add\:}6\mathrm{\:to\:both\:sides}[/tex]

[tex]7x-6+6=7x-6+6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]7x=7x[/tex]

[tex]\mathrm{Subtract\:}7x\mathrm{\:from\:both\:sides}[/tex]

[tex]Simplify[/tex]

[tex]0=0[/tex]

[tex]\mathrm{Both\:sides\:are\:equal}[/tex]

[tex]\mathrm{True\:for\:all}\:x[/tex]

Answer:

7425

Step-by-step explanation:

First let's make the last two fractions improper.

-4  1/2 = -9/2    -2  1/5 = -11/5

Now we have to find the least common denominator.

[tex]\frac{5}{6} *\frac{-9}{2}*\frac{-11}{5}[/tex]

The least common denominator is 30 because all the denominators can be multiplied by something to get 30.

[tex](\frac{5}{5})*\frac{5}{6}* (\frac{15}{15})*\frac{-9}{2}* (\frac{6}{6})*\frac{-11}{5}[/tex] Simplify

[tex]\frac{25}{30}*\frac{-135}{30}*\frac{-66}{30}[/tex] simply

[tex]\frac{-3375}{30}*\frac{-66}{30}[/tex]

[tex]\frac{222750}{30}[/tex] simply

7425

Answer:

4.1 x 10^4 = 41000

Answer: Thats easy 41000

Answer:

12+y

Step-by-step explanation:

12y

Step-by-step explanation:

2 multiplied by all the products in the bracket

Answer:

Step-by-step explanation:

1. A = 68

B = 112

c = 68

2. A = 127

3. A = 70

B = 55

C = 25

Answer:

3v-v² = v(3-v)

Step-by-step explanation:

Use distributive property on the right side of the equality.

Answer:

63.8

Step-by-step explanation:

The tenths place is the number right after the decimal and the number in he hundredths place is greater than 5, therefore bumping up the 7 to an 8 and getting rid of the rest of the decimals.

Answer:

m

=

0.8

¯

3

Step-by-step explanation:

Answer:

m=18+n

Step-by-step explanation:

m + -18 = n            simplify

-18 + m = n            record the terms

-18 + 18 + m = 18 + n             solve

Combine like terms: -18 + 18 = 0,   0 + m = 18 + n,     m = 18 + n

Final answer: m = 18 + n

Answer:

IDK but here's what I have found.....

Step-by-step explanation:

Simplifying

m + -18 = n

Reorder the terms:

-18 + m = n

Solving

-18 + m = n

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + m = 18 + n

Combine like terms: -18 + 18 = 0

0 + m = 18 + n

m = 18 + n

Simplifying

m = 18 + n

Answer: 69

Step-by-step explanation: I got it right

Answer:

-5

-4

-3

-2

-1

Step-by-step explanation:

The biggest negative number is always the smallest, then you go on from there

Answer:

1/36

Step-by-step explanation:

A dice have 6 faces, each face have 1/6 chance to land on, so the chance of landing on 3 two times in a row is 1/6 x 1/6 = 1/36

Answer:

-12

Step-by-step explanation:

-36 divided by 3 = -12

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

Answer:

I think its 1x

Step-by-step explanation:

Answer:

Step-by-step explanation:

-Distance traveled is always the magnitude of the displacement vector. ... A car travels around a circular track clockwise (as viewed from above) at constant speed. ... Select all of the position versus time graphs below that could possibly correspond to this ... A straight line with a slope of 10 m/s that passes though the origin

Answer:

y=2x-1

Step-by-step explanation:

the other person is wrong

Given:

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.

To find:

The other zero.

Solution:

We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.

It means, line of symmetry passes through the mid point of both zeroes.

Let the other zero be x.

[tex]-3.5=\dfrac{(-9)+x}{2}[/tex]

Multiply both sides by 2.

[tex]-7=-9+x[/tex]

Add 9 on both sides.

[tex]-7+9=-9+x+9[/tex]

[tex]2=x[/tex]

Therefore, the other zero of the quadratic function is 2.

Answer: A=0, B=6, C=4.

The axis of symmetry is x = ½

The smaller zero is -2

The larger zero is 3

Step-by-step explanation: Correct in edge 2020, the format makes it hard to find answers online but I just did the assignment

Answer:

-165

Step-by-step explanation: