Solve the following equation algebraically

3x2 = 48

a. +6.93
b. +8
c. +4
d. +0.25​

Answer:  p = 8

Step-by-step explanation:

6(4-2p)+9p

24 - 12p + 9p

24 - 3p

-3p = -24

3p = 24

p = 8

Answer:

$1.65

Step-by-step explanation:

Given that:

Batch mixture :

Cinnamon - 200 ounces

Nutmeg - 100 ounces

Cloves - 100 ounces

Cost of Seasoning mix :

Cinnamon - 1.80 per ounce

Nutmeg - 1.60 per ounce

Cloves - 1.40 per ounce

Price per ounce of mixture :

Let the price per ounce of mixture = x

Total ounce of mixture = (100 + 100 + 200) = 400 ounces

Σ(ounce * cost) = total ounce * cost of mixture

(200*1.80)+(100*1.60)+(100*1.40) = 400 * x

$360 * $160 * $140 = 400x

$660 = 400x

x = $660 / 400

x = $1.65

Price per ounce of mixture = $1.65

Answer:

x = 31

Step-by-step explanation:

So, the angle of a line is 180 degrees. This is a very important fact, because this means that (5x - 16) + (x + 10) = 180 degrees.

Note: The parenthesizes are not needed, but I put them there to symbolize the adding of those two angles that make up the line.

Adding like terms, we get:

6x - 6 = 180

Move the -6 over to the right side.

We get:

6x = 186

Dividing both sides by 6, we get the value of x:

x = 31

If you have any questions, please don't be afraid to ask!

24

Percentage Calculator: 18 is what percent of 75? = 24.

Answer:

I was going to answer then I realized I don't know the answer. Sorry.

Step-by-step explanation:

Answer:

y= 38x

Step-by-step explanation:

It is going up by 38 each time. There is no b value (y=mx + b), because if you times 6 by 38, you get 228. You don't need to add any remainders.

Answer: -3x^2-10x-16

Step-by-step explanation:

Before we begin, note that we need to use the distanse formula for everything to reach our conclusion. With that being said, here we go:

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

Using the ordered pairs [tex]\displaystyle [3, -3][/tex] and [tex]\displaystyle [4, -2][/tex] for instanse:

[tex]\displaystyle \sqrt{[-3 + 4]^2 + [3 - 2]^2} = \sqrt{1^2 + 1^2} = \sqrt{2}[/tex]

Now, sinse the distanse between [tex]\displaystyle [3, -3][/tex] and [tex]\displaystyle [4, -2][/tex] is [tex]\displaystyle \sqrt{2}[/tex] units, then the distanse between [tex]\displaystyle [1, 1][/tex] and [tex]\displaystyle [0, 0][/tex] ALSO has to be [tex]\displaystyle \sqrt{2}[/tex] units. By definition, lettre c has already been answered for you because sinse it is a rectangle, if the two short sides are congruent, then the two long sides ALSO have to be congruent, but just in case you want to be sure [you do not trust your instincts], just simply re-use the distanse formula.

Using the ordered pairs [tex]\displaystyle [1, 1][/tex] and [tex]\displaystyle [4, -2][/tex] for instanse:

[tex]\displaystyle \sqrt{[-1 + 4]^2 + [-1 - 2]^2} = \sqrt{3^2 + [-3]^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}[/tex]

So there you have it. The length of both of the long sides is [tex]\displaystyle 3\sqrt{2}[/tex] units.

Now that we cleared all of that up, we can now find the perimetre and area of this rectangle:

[tex]\displaystyle 2w + 2l = P[/tex]

[tex]\displaystyle 2[\sqrt{2}] + 2[3\sqrt{2}] = 2\sqrt{2} + 6\sqrt{2} = 8\sqrt{2}[/tex]

The perimetre of this rectangle is [tex]\displaystyle 8\sqrt{2}[/tex] units.

[tex]\displaystyle wl = A[/tex]

[tex]\displaystyle [\sqrt{2}][3\sqrt{2}] = [3][2] = 6[/tex]

The area of this rectangle is [tex]\displaystyle 6[/tex] squared units.

You have now found what you were looking for.

** All rectangles are parallelograms because they both have two pairs of parallel and congruent sides, while vice versa is falce because a parallelogram does not have four congruent right angles, so it is safe to say that this is both a rectangle AND parallelogram, sinse the picture displayed is a rectangle.

I am joyous to assist you at any time. ☺️

9514 1404 393

Answer:

  a) compute and add up the side lengths

  b) multiply length by width

  c) compare the slopes of adjacent sides

Step-by-step explanation:

a) The perimeter of any figure is the sum of the lengths of its sides. It can be computed for a rectangle or parallelogram by adding the lengths of adjacent sides and multiplying the sum by 2.

In this graph, each grid square is 1/2 unit. The width of the rectangle is the diagonal of a square that is 1 unit on a side, so is √2 units. The length is 3 times that, so the perimeter is ...

  P = 2(L+W)

  P = 2(3√2 +√2) = 8√2 . . . . perimeter of the rectangle in units

__

b) The area is the product of the length and width.

  A = LW

  A = (3√2)(√2) = 6 . . . . area of the rectangle in square units

__

c) Each side lies on the diagonal of a unit square. The diagonals of a square are perpendicular, so the sides of this parallelogram are perpendicular. That means the figure is a rectangle.

The basic idea is to look at adjacent sides to see if they are perpendicular. Here, we have determined that using the properties of a square. One could compute "rise"/"run" for each side to see of the values are opposite reciprocals.

  origin to B: rise/run = 1/1 = 1

  B to C: rise/run = -3/3 = -1

Each of these values is the opposite reciprocal of the other: 1 = -1/-1.

_____

Additional comment

This question seems to be about methods, not about numbers. We have given numbers anyway.

Answer:

Step-by-step explanation:

Figure A has volume of 30 m³

Figure B is similar to figure A and the scale factor is:

Volume is the product of  three dimensions, therefore the volume of B will be greater by:

The volume of B is:

Answer:

f= -21

Step-by-step explanation:

please mark brainlliest if you want.

Answer:

F=-21

Step-by-step explanation:

-2/3f-4=10

Multiply both sides

-2f-12=30

Add 12 to 30

-2f=42

Divide by -2

F=-21

Answer:

A.

Step-by-step explanation:

It's a little blurry to see the answers but I can assure you that A is the best answer because C has a y-intercept of 2 while A is higher in which it is placed at 3.

Answer:

0.05

Step-by-step explanation:

Answer:

One possible pair:

7 x + 4   and  x + 1

Step-by-step explanation:

There are infinitely many pairs that meet this requirement.

Please mark me brainliest :D

Answer: 200 Meters after 10 minutes.

Step-by-step explanation:

To find the answer you must multiply 20 for every minute.

Hope this helped :D

Answer:

(❁´◡`❁)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

5/11 X 100% = 45.45%

Answer:

2000g

Step-by-step explanation:

the first one is 2000g!

FROM 1KG_1000G

SO

2KG=2000G

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

6x means 6 times x so when you replace x with 2 you get 6×2= 12

Answer:

[tex]\displaystyle f''(1) = \frac{7}{\sqrt{43}}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Calculus

Derivatives

Derivative Notation

Taking Derivatives with respect to x

Basic Power Rule:

Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Function: y = f(x), twice differentiable.

[tex]\displaystyle f(1) = 3\\\frac{dy}{dx} = (4y^2 + 7x^2)^{\frac{1}{2}}[/tex]

Step 2: Differentiate

Remember we are taking the derivative with respect to x.

Step 3: Evaluate

We are given x = 1 and f(1) = 3. This will tell us the instantaneous slope.

This tells us that the rate of change of the slope of the tangent line is [tex]\displaystyle \frac{7}{\sqrt{43}}[/tex].

We can also write an equation for the instantaneous slope:

[Equation] [tex]\displaystyle y - 3 = \frac{7}{\sqrt{43}}(x - 1)[/tex]

Answer:

Step-by-step explanation:

There are 360° of measure in a quadrilateral. By the definition of a parallelogram, we know that the angle opposite the labeled angle will have the same measure as that labeled angle.

So, 12x + 12x + 8x + 8x = 360

Simplifying all the x's gives us:

40x = 360

Divide by 40

x = 90

Now, we check this

40 (90) = 360

360 = 360 ✅

Answer:

T 9,9

U 0,9

V 8,10

because it's a reflection over y axis, everything negative will be positive

Answer:

Below

Step-by-step explanation:

The x's will be the opposite (y's will stay the same):

T=(9,9)

U=(0,9)

V=(8,10)

Answer:

21 animals in the forest

Step-by-step explanation:

The weasel

Felicity

The 19 other animals

Hope this helped

Step-by-step explanation:

Lowest common multiple (LCM) of 4 and 3 = 12.

Therefore 3/4 + 2/3

= 9/12 + 8/12

= 17/12 or 1 5/12.

Answer:

1 5/12

Step-by-step explanation:

To do this, we need to find the LCM of 4 and 3. The LCM of 4 and 3 is 12. Now, since 4x3 is 12, we multiply 3/4 by 3/3 to get 9/12. Now, we multiply 2/3 by 4/4 (since 3x4 is 12) to get 8/12. Now, we add only the top numbers to get 17/12. To simplify this, we divide 17 by 12 (check attached screenshot). The quotient (the answer) becomes the whole number, the divisor (12) becomes the denominator, and the remainder (5) becomes the numerator. This gets us 1 5/12.

Answer:

Estimates of the number of individual tax forms prepared by small accounting firms:

1. Mean = 10

2. Standard deviation = 7.56

Step-by-step explanation:

a) Data and Calculations:

Number of Clients     Frequency    Mean Diff   Squared Deviation

25 up to 40                       3                  -7                    49

40 up to 55                      11                     1                       1

55 up to 70                     24                  14                   196

70 up to 85                       8                    -2                     4

85 up to 100                     4                   -6                   36

Sum                               50                                       286

Mean of frequencies = 10 (50/5)                            57.2 (286/5)

Standard deviation = square root of 57.2 = 7.56

b) The IRS can obtain the mean value of the number of individual tax forms prepared by small accounting firms by dividing the sum of the frequencies by the numbers (50/5).  Similarly, the IRS can calculate the standard deviation of the number of individual tax forms prepared by small accounting firms, which measures how spread out the data is about the mean value, by working out the mean of the frequency numbers.  Then subtract the mean for each number and square each result.  Add up the squared differences and divide by the number to get the mean.  Finally, take the square root of the mean differences.

Answer:

The graph of a quadratic equation, or a parabola, looks like a U, an upside down U, a C, or a backwards C. We can use the following rules to determine what the graph of a given quadratic equation looks like. If y = ax2 + bx + c, and a is positive, then the graph of the equation is the shape of a U.

Step-by-step explanation:

bc

Answer:

3/10

Step-by-step explanation:

Numbers Given are:

1 1/2, 2 1/2, 1 2/3, and 2 5/6

The result at the end of all the math is 2 5/6.

1 2/3 + 2 5/6 = 4 1/2

Divide 4 1/2 by 1 2/3 to get 2 7/10.

Subtract 2 2/3 from 2 7/10 to get 1/5.

Multiply 1/5 by 1 1/2 to get 3/10.

So the number they thought of was 3/10.

Answer/Step-by-step explanation:

5. Given that ∆FGH ≅ ∆TSU, all three angles and sides of ∆FGJ are congruent to all corresponding angles and sides of ∆TSU.

Thus:

Since, <HFG in ∆FGH corresponds to <UTS in ∆TSU, therefore:

<HFG ≅ <UTS

7. Given that ∆FGH ≅ ∆FGL, the following are the corresponding sides and angles:

FG ≅ FG

GH ≅ GL

FH ≅ FL

<FGH ≅ <FGL

<FHG ≅ FLG

<GFH ≅ GFL

Answer:

25

Step-by-step explanation:

Answer:

25 lawns

Step-by-step explanation:

Since he can mow 5 lawns in 2 hours he can mow:

10 lawns in 4 hours

15 lawns in 6 hours

20 lawns in 8 hours

25 lawns in 10 hours

Hope this helps! It's a pattern! :D