An 18 fluid ounce bottle of lotion costs $10.99, what is the price per fluid ounce?

Answer:

The value of x is 25.

Step-by-step explanation:

Given:

side AB = [tex]3x-5[/tex]

side BC = [tex]2x+20[/tex]

side AC = [tex]4x-30[/tex]

In Δ ABC is an equilateral triangle.

In equilateral triangle all three angles are same and also the sides are same.

Hence side AB = side BC

Substituting the values for side AB and side BC we get,

[tex]3x-5=2x+20\\3x-2x=20+5\\x=25[/tex]

Hence the value of x = 25.

Answer:

The value of x for the given figure is 95 And 1.67

Step-by-step explanation:

From Given figure :

Sin angle = [tex]\dfrac{\textrm perpendicular}{\textrm Hypotenuse}[/tex]

or ,  Sin C =  [tex]\dfrac{\textrm 3x - 5}{\textrm 4 x - 30}[/tex]

Cos angle =  [tex]\dfrac{\textrm Base}{\textrm Hypotenuse}[/tex]

or ,  Cos C =  [tex]\dfrac{\textrm 2x + 20}{\textrm 4 x - 30}[/tex]

Or, Cos c = [tex]\sqrt{1 - sin^{2}C }[/tex]

Or, [tex]\dfrac{\textrm 2x + 20}{\textrm 4 x - 30}[/tex] = [tex]\sqrt{1-(\frac{3x - 5}{4 x + 20} })^{2}[/tex]

or, [tex](\frac{2x+20}{4x-30}) ^{2}[/tex] = 1 - [tex](\frac{3x-5}{4x-30} )^{2}[/tex]

[tex]\frac{4x^{2}+400+80x}{16x^{2}+900-240x}[/tex]= 1- ( [tex]\frac{9x^{2}+25-30x}{16x^{2}+900-240x}[/tex] )

Or, 4x²+400+80x = [tex]16x^{2}+900-240x[/tex] - 9x² -25 +30x

or, 4x²+400+80x = 7 x² + 875 -210x

or, 3 x² + 475 -290 x = 0

Or, Solving the equation

3 x² - 285 x - 5 x + 475 = 0

or, 3 x ( x - 95 ) - 5 ( x - 95 ) = 0

or, ( x - 95 ) ( 3 x - 5 ) = 0

∴ x = 95  and x = 1.67

Hence The value of x for the given figure is 95 And 1.67  Answer

Answer:

3x+15=90.

3x=75

x=25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Triangle = 180 degrees

The square indicates that the angle = 90 degrees

So we know the other two angles have to equal the remaining 90 together.

x + (2x + 15) = 90

3x + 15 = 90

3x = 75

x = 25

Answer:

f(2k)=0

Step-by-step explanation:

Let's suppose f(x) is such that (x-2k) is one of its factors. We can write it as

f(x)=(x-2k).g(x)

Where g(x) is any other function of x, and g(x) in non-divisible by (x-2k). If we replace x=2k into f, we get

f(2k)=(0).g(2k)=0

f(2k)=0

Answer:

A

Step-by-step explanation:

took the test

Given information

ZW is parallel to XY

ZW is congruent to XY

---------------------

What we want to prove: ZY parallel to WX

==============================================

Proof:

Statement 1: ZW is parallel to XY

Reason 1: Given

--------------------

Statement 2: ZW = XY

Reason 2: Given

--------------------

Statement 3: Angle 3 = angle 4

Reason 3: Alternate interior angle theorem

note: it might help to erase or cover up the horizontal lines of the parallelogram temporarily to help see that angles 3 and 4 are alternate interior angles.

--------------------

Statement 4: ZX = ZX

Reason 4: Reflexive property of congruence

--------------------

Statement 5: Triangle WZX = Triangle YXZ

Reason 5: SAS congruence postulate

--------------------

Statement 6: Angle 1 = Angle 2

Reason 6: CPCTC

note: CPCTC stands for "corresponding parts of congruent triangles are congruent"

--------------------

Statement 7: ZY is parallel to WX

Reason 7: Converse of alternate interior angle theorem

--------------------

This concludes the proof.

ZY is parallel to WX.

To prove that line segment ZY is parallel to WX, given that ZW is parallel to YZ and ZW is congruent to MY, you can use the following properties and definitions:

If ZW is parallel to YZ, and ZW is congruent to MY, it means that angle ZWM is congruent to angle YZM (corresponding angles) and angle ZMW is congruent to angle MYZ (corresponding angles).

If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel.

So, using the above properties, you can conclude that ZY is parallel to WX. This is because the corresponding angles ZWM and YZM are congruent, and ZMW and MYZ are congruent, which is sufficient to establish that the lines ZY and WX are parallel.

for such more question on line segment

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Answer:

1/0.04 = 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

well 1/4% wouldnt be 25% because they are 25% = 0.25 = 1/4

the percentage sign changes everything

since it is 1/4% rather than 1/4 by itself

1/4% = 0.25%

if you want to know the percent as a decimal you move the "." to the left twice

(or divide by 100)

so that means that the decimal of 0.25% would be 0.0025

Answer:

For more than 500 minutes

Step-by-step explanation:

Let x be the number of minutes.

First company charges:

$0.029 per minute, then $0.029x for x minutes

and a $2 monthly fee.

In total, $(0.029x+2)

Second company charges:

$0.033 per minute, then $0.033x for x minutes

with no monthly fee.

If the charges for the first company are cheaper, then

[tex]0.029x+2<0.033x[/tex]

Multiply this inequality by 1,000:

[tex]29x+2,000<33x\\ \\33x-29x>2,000\\ \\4x>2,000\\ \\x>500[/tex]

Answer:

$3.80

Step-by-step explanation:

could be wrong though

Answer:

Step-by-step explanation:

19 divided by 5 = 3.8

3.8 to nearest hundreth is 3.80 or you could

Answer:

y = [tex]\frac{25}{6}[/tex]

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 5 when x = 6

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{5}{6}[/tex], thus

y = [tex]\frac{5}{6}[/tex] x ← equation of variation

When x = 5, then

y = [tex]\frac{5}{6}[/tex] × 5 = [tex]\frac{25}{6}[/tex]

Answer:

y=x^2+4x+7

Step-by-step explanation:

y=(x+2)(x+2)-3

y=x^2+2x+2x+4-3

y=x^2+4x+7

Answer:

C. y = x² + 4x + 1

Step-by-step explanation:

y = (x + 2)² - 3

y = x² + 4x + 4 - 3

y = x² + 4x + 1

Answer:

B. y = 6x – 1

Step-by-step explanation:

where:

m is the slope of the line

b is the y-intercept of the line

The slope m of the line through any two points (x1, y1) and (x2, y2) is given by:

Slope Formula

The y-intercept b of the line is the value of y at the point where the line crosses the y axis. Since for point (x1, y1) we have y1 = mx1 + b, the y-intercept b can be calculated by: b = y1 - mx1

Answer:

The answer is A

Step-by-step explanation:

y - 5 = 6(x+1)

y - 5 = 6x + 6

y = 6x + 6 + 5

y = 6x + 11

Divide the total by 1 +  interest rate.

12,720 / 1.06 = 12,000

They invested $12,000

Answer:

(8, -4)

Step-by-step explanation:

To solve for the two numbers that sum to -102, with one number being 62 less than the other, we use algebraic methods to find the numbers as -20 and -82.

To find the two numbers that sum to -102 and where one number is 62 less than the other, we can set up the following system of equations based on the given information:

Substitute y from the second equation into the first equation:

Now that we have x, we can find y by substituting x back into the equation y = x - 62:

Therefore, the two numbers are -20 and -82.

Answer:

x = 4

Step-by-step explanation:

Using "number sense"

2x=8​

Double a number is 8.

What is half of 8? 4.

Double of 4 is 8.

Therefore the number, x, is 4.

Check:

2x = 8

x = 8/2

x = 4

2x = 8

2(4) = 8

8 = 8

Answer:

The correct answer is D. 16 + 4 - 1 = 20 - 1

Step-by-step explanation:

Option A is not a true equation because 16 + 4 - 1 = 19 and not 20.

Option B is not a true equation because we're using the relational sign "less than" that is used by inequations or inequalities.

Option C is not a true equation because 16 + 4 - 1  = 19 and is not equal to 19 - 1 = 18.

Finally, option D is a true equation because 16 + 4 - 1  = 19 and is equal to 20 - 1 = 19.

The correct answer is D. 16 + 4 - 1 = 20 - 1

Answer:

The explanation is below.

Step-by-step explanation:

Given

C is the midpoint of [tex]\overline{AD}[/tex] and also C is the midpoint of [tex]\overline{EB}[/tex]

[tex]\overline{AC} = \overline{DC}\\ and\\\overline{BC} = \overline{EC}[/tex]

To Prove:

[tex]\angle A \cong \angle D[/tex]

Proof:

[tex]In\ \triangle ACB\ and\ \triangle DCE\\\overline{AC} \cong \overline{DC}\ \textrm{ C is the midpoint of AD}\\\angle ACD \cong \angle DCE\ \textrm{vertically opposite angles}\\\overline{BC} \cong \overline{EC}\ \textrm{ C is the midpoint of BE}\\\therefore \triangle ACB \cong \triangle DCE\ \textrm{ By Side-Angle-Side test}\\\therefore \angle BAC \cong \angle EDC\ \textrm{corresponding parts(angles) of congruent triangles}\\\therefore \angle A \cong \angle D\ \textrm{ Proved}[/tex]

Answer:

112 dimes and a nickel.

because, one, 110 dimes equals 11.00 (so add the2 extra dimes.)

two, the .05 is a nickel not a .5 dime.

So that's your answer. 112 dimes and 1 nickel.

The point located 3/5 of the way from point A(4, 5) to point B(-6, 0) on line segment BA is at (0, 3). This is found using the formula for division of a line segment at given ratio.

The subject of this question is Geometry, specifically finding the coordinates of a point along a line segment. Line segment BA has coordinates B(-6, 0) and A(4, 5). To find the point located 3/5 of the way from point A to point B, we will need to use the formula for the division of a line segment which is: X = x1 + r(x2 - x1) and Y = y1 + r(y2 – y1), where r is the ratio, in this case 3/5.

Using the formula, the x coordinate of the point can be calculated as: X = (-6) + 3/5 [(4) - (-6)] = -6 + 3/5 * 10 = -6+6 = 0. The y coordinate of the point can be calculated as: Y = 0 + 3/5 [(5) - 0] = 0 + 3 = 3. Therefore, the point is at (0,3) which is located 3/5 of the way from point A to point B on the line segment.

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Final answer:

The coordinates of the point located 3/5 of the way from point A to point B are (0, 3), calculated by finding the weighted average of the x and y coordinates of the endpoints.

Explanation:

To find the coordinates of the point located 3/5 of the way from point A to point B, we need to calculate the weighted average of the endpoints. The coordinates of point B are (-6, 0) and the coordinates of point A are (4, 5).

The x-coordinate of the point is calculated as follows:
(-6) + ((4 - (-6)) × (3/5)) = (-6) + (10 × (3/5)) = (-6) + 6 = 0.

The y-coordinate of the point is calculated as follows:
0 + ((5 - 0) × (3/5)) = 0 + (5 × (3/5)) = 3.

Therefore, the coordinates of the point located 3/5 of the way from point A to point B are (0, 3).

Answer:

i believe it would be 36

Answer:36

Step-by-step explanation:

Answer:

v172

Step-by-step explanation:

This might be wrong. Because 172=289 you can substituite 289 for 172.

To have $18,000 in 2 years with a 20% annual interest rate compounded continuously, you need to invest approximately $12,065.76.

To determine the amount of money you need to invest to have $18,000 in 2 years with a 20% annual interest rate compounded continuously, we can use the formula:

A = P * e^(rt)

Where:

Substituting the values into the formula:

18,000 = P * e^(0.20*2)

Simplifying:

18,000 = P * e^(0.40)

P = 18,000 / e^(0.40)

Using a calculator to evaluate the exponential term:

P ≈ 12,065.76

Therefore, you need to invest approximately $12,065.76 to have $18,000 in 2 years.

Answer:

see the explanation

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

In this problem

If the perimeter of triangle is equal to 36 cm

The longest side can't be equal to 18 cm

The student is incorrect

Because if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cm

and

Applying the triangle inequality theorem

Let

c  -----> the longest side

a and b the other two sides

we have that

if c=18 cm

a+b > c

a+b > 18 cm

therefore

If the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm

Answer:

The answer would be 5.03x10^-3   ^-^

Step-by-step explanation:

Answer:

-3.

Step-by-step explanation:

Counting the digits after the point until we get to the 5:

The count is 3.

The power is -3:

5.03 * 10^-3.

Answer:

294 square feet

Step-by-step explanation:

If the volume is one  side  at the 3rd power, then  If we know the volume, we calculate   the cubic root of 343  that is 7

So 1 side =7

The cube has 6 faces

1 face of the cube is 7*7=49

Six faces =

49*6= 294

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=4000\left(1+\frac{0.03}{2}\right)^{2\cdot 5}\implies A=4000(1.015)^{10}\implies A\approx 4642.16[/tex]

Answer:

n= Total number of packages on trucks= 6096

n = T x P (Model Equation)

Step-by-step explanation:

No. Of delivery trucks = T = 127

Package on each truck = P = 48

Total number of packages on trucks =n= ?

Each truck contains 48 packages and total trucks were 127, to find total number of packages on trucks , we just need to multiply the number of trucks with the number of package on each truck.

Total number of packages on trucks =n= (No. Of delivery trucks) x (Package on each truck)

n = T x P (Model Equation)

n= 127 x 48

n= 6096 (Total number of packages on trucks)

Answer: The answer is x = 12

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

1. Get all x varibles to one side.

-7x - 11 = 25 - 10x

+ 10x            +10x

2. Get all constants to one side.  

3x - 11 = 25

+ 11         +11

3. Divide on both sides to get x alone.

3x = 36

÷3    ÷3

x = 12