You have 2 2/3 ounces of sodium chloride. You want to replicate an experiment that uses 2 3/4 ounces of sodium chloride. Do you have enough sodium chloride? If not, how much more do you need?

Answer:

Yes!

Step-by-step explanation:

It is also a fraction. But, again fraction is a rational number and the number is also real (>0).

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ \\ \frac{1}{2} a {t}^{2} = s - ut \\ \\ a = (s - ut) \: \div (\frac{1}{2} {t}^{2}) \\ \\ a = (s - ut) \: \times ( \frac{2}{ {t}^{2} } ) \\ \\ a = \frac{2s - 2ut}{{t}^{2}} \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2ut}{{t}^{2}} \\ \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2u}{t} [/tex]

I hope I helped you^_^

Step-by-step explanation:

5:6

is your answer.

good morning

have a great day

A. √50 = 5√2 ≈ 7,07107

B. √169 = √13² = 13

C. 736

D. 225

Answer:

4th option

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{(x+2)(x+1)}[/tex] ← expand denominator using FOIL

= [tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{x^2+3x+2}[/tex]

Since the denominators are common, then subtract the numerators

= [tex]\frac{x-1}{x^2+3x+2}[/tex]

Answer:

9 cups

Step-by-step explanation:

6 ÷ 2/3

6/1 ÷ 2/3

6/1 x 3/2 = 18/2 = 9/1 = 9

Answer:

Value of k is 9

Step-by-step explanation:

-2x + 8 = -10

-2x = -10 - 8

-2x = -18

x = -18/-2

x = 9

f(x) = f(k)

x = k

9 = k

Hello there!

We are given the function:

[tex] \displaystyle \large{f(x) = - 2x + 8}[/tex]

We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.

[tex] \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}[/tex]

Solving the equation. First, we subtract both sides by 8.

[tex] \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ [/tex]

Divide both sides by -2.

[tex] \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}[/tex]

Therefore, k = 9

When we substitute k = 9 in f(k), the value is -10.

Let me know if you have any questions!

Topic: Linear Function

Answer:

-5/4x + 5/2

Step-by-step explanation:

Slope: (-3-2)/5-1) = -5/4

Point: (1,2)

y-2 = -5/4 (x -1)

y - 2 = -5/4x +5/4

y = -5/4x + 5/4 + 2

y = -5/4x + 13/4

Answer:

24 and 48

Step-by-step explanation:

let one number=x

the other number=2x

2x+x=72

3x=72

x=72/3=24

So one number is 24 and the other is 2(24)=48

Answer:

6 and 12 lol

Step-by-step explanation:

6(12)=72

12 is 6(2)

Answer:

The total area is multiplied by 6

Step-by-step explanation:

Answer:

8 x 4² + 10 - 5 x 108 x 42 + 10 - 5x10

8 x 16 + 10 - 22680 + 10 - 50

128 -22710 = -22528

CMIIW

I can't understand with your question but I think the qustion is like ☝

The value of the expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10 is -22,582

To calculate the value of the given expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10.

we need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

Let's break down the steps:

Calculate the exponent: 4² = 4 x 4 = 16.

Multiply 8 by 16: 8 x 16 = 128.

Multiply 5 by 108: 5 x 108 = 540.

Multiply 540 by 42: 540 x 42 = 22,680.

Multiply 5 by 10: 5 x 10 = 50.

Now, the expression becomes: 128 + 10 - 22,680 + 10 - 50.

=-22,582

Therefore, the value of the expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10 is -22,582

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12x - 10.5y - 48 = 0

______________

Answer:

Each game would be 44.84 per order, so 2 games would be 89.68 and so forth.

Step-by-step explanation:

Take 39.99 and add 4.85 and that gives you the total for 1 game per order.

Answer:

8x^2 +10x -5

Step-by-step explanation:

you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5

Answer:

t = 41.6 (the 6 is repeating)

Step-by-step explanation:

2.5t + 350 = 3t + 225

Subtract 2.5t from both sides to get:

350 = 3t + 225

Now subtract 225 from both sides to get:

125 = 3t

Divide both sides by three.

t = 41.6 (the 6 is repeating)

Answer:

[tex] \frac{10}{16} [/tex]

Step-by-step explanation:

[tex] \frac{red \: pens}{total \: pens \: } = \frac{10}{16} [/tex]

or 5/8

Answer:

Step-by-step explanation:

Width = w

triple the width = 3*w = 3w

Length = 7 yards longer than triple the width = 3w + 7

Perimeter = 438 yards

2*(length +width) = 438

2*(3w+ 7 + w) = 438       {Combine like terms}

2 * (4w + 7)     = 438

     2*4w +2*7 = 438       {Use distributive property}

         8w + 14 = 438          {Subtract 14 from both side}

                  8w = 438 - 14

                  8w = 424          {Divide both sides by 8}

                    w = 424/8

                     w = 53 yards

Length = 3*53 +7 = 159 + 7 = 166 yards

Width = 53 yards

Length = 166 yards

Answer: 3a+b/9

(the slash represents a fraction so the answer is a fraction)

Step-by-step explanation:

Coordinate geometry is the use of a 2D plane to represent points.

Given that:

[tex]A = (-5,5) \to A' = (5,5)[/tex]

[tex]B = (-2,2) \to B' = (2, 2)[/tex]

[tex]C = (-3,2) \to C' = (2,3)[/tex]

By observing the pattern of transformation, the rule is:

[tex](x,y) \to (y,-x)[/tex]

Hence, the transformation is a rotation of 270 degrees clockwise

The length is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]

[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]

And

[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]

[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]

By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.

The measure of the angles is calculated as follows:

[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]

So, we have:

[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]-2= \sqrt{13} \cos C[/tex]

Make cos C the subject

[tex]\cos C = -0.5547[/tex]

[tex]C = cos^{-1}(-0.5547)[/tex]

[tex]C = 124^o[/tex]

Also, we have:

[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]

So, we have:

[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]

[tex]\frac{1}{\sin A} =5.1175[/tex]

Rewrite as:

[tex]\sin A = \frac{1}{5.1175}[/tex]

[tex]\sin A = 0.1954[/tex]

[tex]A = \sin^{-1}(0.1954)[/tex]

[tex]A = 11^o[/tex]

Also, we have:

[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle

[tex]11 + B + 124 = 180^o[/tex]

Collect like terms

[tex]B = 180 -11 - 124[/tex]

[tex]B = 45[/tex]

Hence:

[tex]\angle A = 11[/tex]   [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]

Read more about coordinate geometry at:

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Answer:

C = 7p

Step-by-step explanation:

Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.

Answer:

55-9

Step-by-step explanation:

you subtract

(6u+3)+(6u+3)+(8u-3)

=6u+3+6u+3+8u-3

=20u+3

Answer:

2/7

Step-by-step explanation:

Probability=number of names chosen/total number of names

p=2/7

Here in this question order is mentioned so we will use permutation.

and the formula is P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]

When the order of selecting something doesn't matter we use combination and when order of selection matters we use permutation.

In the given question number of unique names (n) = 7 and we are taking 2 names at a time.So the permutation of 7 names takes 2 at a time is P(7,2) =

[tex]\frac{7!}{(7-2)!}[/tex] = [tex]\frac{7!}{5!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] = 7x6 = 56.

So, the number of ways of selecting is 56.

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the answer must be t equal to Q over MC

Answer:

T= Q over MC

Step-by-step explanation:

I did the test

8k - 9(4k + 4) = 8k - 36k - 36 = -28k - 36

Let's rewrite in the simplest term,

→ 8k - 9(4k + 4)

→ 8k - 36k - 36

→ [-28k - 36]

The simplest term is -28k - 36.

In the given figure, the point X represents centroid. The correct option is C.

A centroid is the point of intersection of all the medians of a triangle in geometry. The medians of a triangle are the line segments that connect each vertex to the opposite side's midpoint.

The centroid is also known as the triangle's "centre of mass" or "centre of gravity" because it is the point at which the triangle could be balanced if cut out of a piece of cardboard or other thin material.

Circumference is defined as the point at which three perpendicular bisectors intersect, which is incorrect because there is no indication of right angles.

The incenter is the point where the angle bisectors of the triangles meet, which is also not shown in the photo.

Thus, the correct option is C.

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Your question seems incomplete, the probable complete question is:

Answer:

4+9= 13

Step-by-step explanation:

Answer:

(-∞,20}

Step-by-step explanation:

Use the commutative property to reorder the terms.

Separate the function into parts to determine the domain of each part

The domian of a rational function are all values of x which the denominator is different than 0

Find the intersection

Answer:

190 goats

33 cows

70 chickens