Nancy purchased some bedsheets for $36. Sales rate = 25%. Determine the original price. Solution:

The equation he should you use to find the final number of moles of gas in the balloon after the deflation is n1/v1 = n2/v2

The molarity of a solution is the ratio of the mole of the substance to its volume

Since the mole "n" is directy proportional to the volume, hence;

n = kv
k = n/v

Hence the equation he should you use to find the final number of moles of gas in the balloon after the deflation is n1/v1 = n2/v2

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Answer:

answer in picture

Step-by-step explanation:

Answer:

43 mph

Step-by-step explanation:

1 day = 24 hours

3 days = 3 × 24 hours = 72 hours

The car taveled 3106 miles in 72 hours.

average speed = distance/time

average speed = (3106 miles)/(72 hours)

average speed = 43 mph

Answer: 43 mph

Explanation:

3 days is 72 hours.

R=D/T

Divide 3106 by 72

= 43 (rounded)

Answer:

2916 square inches

Step-by-step explanation:

Surface area of rectangular prism:

Here, area of the top of the prism is not included.

l = 24 in ; b = 20 in ; h = 16 in

Surface area = lb + 2bh + 2lh

                    = 24 * 20 + 2*20*16 + 2*24 *16

                    = 480 + 640 + 768

                    = 1888 sqaure inches

Surface area of triangular prism:

length = 24 in ; a = b = 16 in  ;  base = 20 in and height = 13 in

[tex]\sf \text{Base area=$2*\dfrac{1}{2}*base *height = base *height$}[/tex]

                = 20 * 13

                  = 260 square inches

Surface area = length*(a +b) + base area

                     = 24*(16+16) + 260

                     = 24 * 32 + 260

                      = 768 + 260

                      = 1028 square inches

Surface area of composite figure = 1888 + 1028

                                                          = 2916 square inches

Answer:

≈11.7 [ft].

Step-by-step explanation:

1) the ladder and the wall form the right triangle, where the length of the ladder (12 ft) is hypotenuse and the distance between the base of the latter and the base of the wall is the shortest side.

2) the longest side can be calculated according the Pythagoras theorem:

[tex]L=\sqrt{12^2-2.8^2}=\sqrt{136.16}=11.7[ft].[/tex]

The line which is parallel to the line 2x + 5y =8 is  [tex]y= -\frac{2}{5} x+4[/tex]  .

The correct option is (B) [tex]y= -\frac{2}{5} x+4[/tex]

If the lines are parallel, there is no solution for the pair of linear equations. If there is no solution of the given pair of linear equations, the equations are called inconsistent.

As we know the condition for two parallel line given by the equation

[tex]a_1 x+b_1y+c_1=0\\a_2x+b_2y+c_2= 0[/tex]

is:

[tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex]  ≠ [tex]\frac{c_1}{c_2}[/tex]

We have the given equation as 2x + 5y =8

the equation which is parallel to 2x + 5y= 8 be

B)  [tex]y= -\frac{2}{5} x+4[/tex]

5y = -2x +20

2x+5y=20

So, it satisfies the condition [tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex]  ≠ [tex]\frac{c_1}{c_2}[/tex]

Rest of the equation aren't  satisfying  the condition   [tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex]  ≠ [tex]\frac{c_1}{c_2}[/tex].

Hence the line parallel to 2x+ 5y =8 is  [tex]y= -\frac{2}{5} x+4[/tex].

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Answer:

7

Step-by-step explanation:

(a squared) plus (b squared) equals (c squared)

(6 squared) plus (4 squared) equals (c squared)

36+16=c squared

c equals 7

Answer:

7.21 blks

Step-by-step explanation:

Pythag theorem

a^2  + b^2 = c^2

6^2 + 4^2 = c^2

52 = c^2

c = sqrt 52 = 7.21 blcks

Answer:

[tex]g(-3)=7[/tex]

[tex]g(0)=7[/tex]

[tex]g(5)=\dfrac15[/tex]

Step-by-step explanation:

[tex]g(x) =\begin{cases}7 & \text{if } x \leq 0 \\ \\\dfrac{1}{x} & \text{if } x > 0\end{cases}[/tex]

This means:

[tex]\implies g(-3)=7[/tex]

[tex]\implies g(0)=7[/tex]

[tex]\implies g(5)=\dfrac15[/tex]

[tex]\sf\f(x)=\grey{\begin{cases}\rm 7\quad ,x\geqslant 0\\ \rm \dfrac{1}{x}\quad ,x>0\end{cases}}[/tex]

So

Hence

Answer:

JK = 18

Step-by-step explanation:

LK = x - 1

KJ = x + 11

LJ = LK + KJ = x - 1 + x + 11

-> LJ = 2x + 10

LM = 12

By tangent secant segment theorem:

[tex]LK \times LJ = JM^2 \\ \\ \implies \: (x - 1)(2x + 10) = {(12)}^{2} \\ \\ \implies \: x (2x + 10) - 1(2x + 10) = 144\\ \\ \implies \: 2x^{2} + 10x - 2x - 10 - 144 = 0\\ \\ \implies \: 2x^{2} + 8x - 154 = 0\\ \\ \implies \: 2(x^{2} + 4x - 77) = 0\\ \\ \implies \: x^{2} + 4x - 77 = 0\\ \\ \implies \: x^{2} + 11x - 7x- 77 = 0\\ \\ \implies \: x(x + 11) - 7(x + 11) = 0\\ \\ \implies \: (x + 11) (x - 7) = 0 \\ \\ \implies \: (x + 11) = 0 \: \: or \: \: (x - 7) = 0 \\ \\ \implies \: x = - 11 \: \: or \: \: x = 7 \\ \\ x \: can \: not \: be \: negative \\ \implies \: x \neq \: - 11 \\ \\ \implies \: x = 7 \\ \\ \implies \: JK = x + 11 = 7 + 11 \\ \\ \implies \: \huge \: { \orange{JK =18}}[/tex]

Hope it helps you in your learning process.

Have a great day ahead.

Answer:

-13.75

Step-by-step explanation:

The error which Loren made was C. she should have solved 149 = startfraction 19 over 9 endfraction (10) b for b.

This refers to those miscalculations or misjudgments about a situation or a mathematical solution to give wrong values.

Hence, because Loren is solving an equation of 0 = startfraction 19 over 9 endfraction (149) b for b to find the equation of a trend line that passes through the points (1, 130) and (10, 149), the error she made was option C.

This means that using point (10,149) which takes the form (x,y) the equation will be: 149=19/9(10)+b

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Answer:

C

Step-by-step explanation:

Answer:

(d + 3) would be 10

Step-by-step explanation:

Step 1:  Distribute

[tex]4.5(d + 3) = 45[/tex]

[tex](4.5 * d) + (4.5 * 3) = 45[/tex]

[tex]4.5d + 13.5 = 45[/tex]

Step 2:  Subtract 13.5 from both sides

[tex]4.5d + 13.5 - 13.5 = 45 - 13.5[/tex]

[tex]4.5d = 31.5[/tex]

Step 3:  Divide both sides by 4.5

[tex]\frac{4.5d}{4.5} = \frac{31.5}{4.5}[/tex]

[tex]d = 7[/tex]

Step 4:  Determine what (d+3) is

[tex](d + 3)[/tex]

[tex](7 + 3)[/tex]

[tex]10[/tex]

Answer: (d + 3) would be 10

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{4.5(d + 3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5(d) + 4.5(3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5d + 13.5 = 45}}\\\\\large\boxed{\textbf{SUBTRACT 13.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{4.5d + 13.5 - 13.5 = 45 - 13.5}}\\\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{4.5d = 45 - 13.5}}\\\\\large\boxed{\mathsf{4.5d = 31.5}}\\\\\large\boxed{\textbf{DIVIDE 4.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{\dfrac{4.5d}{4.5}= \dfrac{31.5}{4.5}}}[/tex]

[tex]\large\boxed{\large\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{d = \dfrac{31.5}{4.5}}}\\\\\\\large\boxed{\mathsf{d = 7}}\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{d = 7}}}}\huge\checkmark[/tex]

[tex]\mathsf{(d + 3)}\\\mathsf{= \bold{7} + 3}\\\mathsf{= 10}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

$10

Step-by-step explanation:

"Initial" here means "beginning."  That is, time = x = 0.  If we let x = 0 here we get c(0) = 10, which is the desired answer.  Juan's initial investment was $10.

Answer:

68

Step-by-step explanation:

As the date in the box plot ends at 68. it is the maximum value

Answer:

Option A

Step-by-step explanation:

Given expression:

Option A

⇒ (x - 4)(3x + 2)

⇒ (x × 3x) + (2 × x) + (-4 × 3x) + (-4 × 2)

⇒ (3x²) + (2x) + (-12x) + (-8)

⇒ 3x² + 2x - 12x - 8

⇒ 3x² - 10x - 8

3x² - 10x - 8 = 3x² - 10x - 8 (Yes!)

Option B

⇒ (3x - 4)(x - 2)

⇒ (3x × x) + (3x × -2) + (-4 × x) + (-4 × -2)

⇒ (3x²) + (-6x) + (-4x) + (8)

⇒ 3x² - 6x - 4x + (8)

⇒ 3x² - 10x + 8

3x² - 10x - 8 = 3x² - 10x + 8 (No!)

Option C

⇒ (3x - 4)(x + 2)

⇒ (3x × x) + (3x × 2) + (-4 × x) + (-4 × 2)

⇒ (3x²) + (6x) + (-4x) + (-8)

⇒ 3x² + 6x - 4x - 8

⇒ 3x² + 2x - 8

3x² - 10x - 8 = 3x² + 2x - 8 (No!)

Option D

⇒ (3x - 2)(x - 4)

⇒ (3x × x) + (3x × -4) + (-2 × x) + (-2 × -4)

⇒ (3x²) + (-12x) + (-2x) + (8)

⇒ 3x² - 12x - 2x + 8

⇒ 3x² - 14x + 8

3x² - 10x - 8 = 3x² - 14x + 8 (No!)

Since the expression of option A has the same value as the given expression, option A is correct.

Answer:

Hi! Let's find which expression is equivalent to [tex]3x^{2} - 10x - 8[/tex]. First, remember that expressions are equivalent when they have identical solutions or roots. That means we have to do three things:

- solve [tex]3x^{2} - 10x - 8[/tex]

- review the listed expressions

- determine which solution is equivalent to the solution of [tex]3x^{2} - 10x - 8[/tex]

First, let's solve [tex]3x^{2} - 10x - 8[/tex].

Use the sum-product pattern -

3x^2 - 10x - 8

3x^2 + 2x - 12x - 8

Common factor from the two pairs -

3x^2 + 2x - 12x - 8

x(3x + 2) - 4(3x + 2)

Rewrite in factored form -

x(3x + 2) - 4(3x + 2)

(x - 4)(3x + 2)

Now, let's review the listed expressions. We have:

A. (x - 4)(3x + 2)

B. (3x - 4)(x - 2)

C. (3x - 4)(x + 2)

D. (3x - 2)(x + 4)

We're looking for one of these expressions to be equivalent to the solution of [tex]3x^{2} - 10x - 8[/tex], which we know is (x - 4)(3x + 2). The first choice, A. (x - 4)(3x + 2), would be our answer!

I hope this helps you. Have a wonderful day and let me know if I can help you with anything else! =)

Answer:

Mean = 75

Median = 73.5

Mode = 95

Range = 36

Step-by-step explanation:

Given:

Sort:

To find:

Mean:

[tex]\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}[/tex]

Sum of all data divides by amount.

[tex]\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}[/tex]

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in middle:

[tex]\displaystyle \large{\dfrac{x_1+x_2}{2}}[/tex]

From 59,60,70,77,89,95, since 70 and 77 are in middle:

[tex]\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}[/tex]

Therefore, median = 73.5

Mode:

The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

Therefore, mode = 95

Range:

[tex]\displaystyle \large{x_{max}-x_{min}}[/tex] or highest value - lowest value

Thus:

[tex]\displaystyle \large{95-59 = 36}[/tex]

Therefore, range = 36

Answer:

Which of the following is a scalar quantity, and not a vector?

Temperature

Step-by-step explanation:

Force: The interaction which after applying on a body changes or try to change the state of rest or state of motion is called force.

It is a vector quantity.

Temperature: The measurement of hotness is called temperature.

It is a scalar quantity.

Scalar quantities: The physical quantities which have only magnitude and no direction are

called scalar quantities or scalars.

Examples: Mass, volume, density, time, temperature, electric current, Luminious intensity, etc. Vector quantities: The physical quantities which have both magnitude and direction and obey

the laws of vector addition are called vector quantities or vectors.

Answer:

9 inches

Step-by-step explanation:

Convert from feet to inches by multiplying by 12:

3*12 = 36

Multiply by the scale factor of 1/4:

36*1/4 = 9

9 inches

Answer:

B. 0.14

Step-by-step explanation:

Just add the values in the eight row and truck coloum and divide by 200.

Answer:

105 cm²

Step-by-step explanation:

Properties of a quadrilateral circumscribed about a circle

Given:

Therefore, the sum of the other pair of opposites is also 21 cm.

So the perimeter = 21 + 21 = 42 cm

[tex]\implies \sf Area=\dfrac12\cdot42\cdot5=105\:cm^2[/tex]

Looking like trapezoid

area:-

Answer:

Question 3:

f(3) = (3,-8) this is because -2*-2=4*-2=-8.

Questions 4:

D. (1,7)

Answer:Nothing further can be done with this topic. Please check the expression.

Step-by-step explanation:

The measure of the angle ∠ABC is 110° and the measure of the reflex angle ∠CBD is 70°.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The measure of the angle ABC will be

∠ABC = 110°

The angle ∠ABC and ∠CBD are the linear angles. Then we have

∠ABC + ∠CBD = 180°

   110° + ∠CBD = 180°

             ∠CBD = 70°

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[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

To find :-

More valuable packet of beans

Given :-

500g packet of beans = £114

125g packet of beans = £28

Solution :-

We will find out value of 100g of beans of each packet, then we will compare the value, the less will be the value, the more valuable packet is it.

Packet 1

500g of beans = £114

100g of beans

[tex] = \frac{114}{500} \times 100 \\ = \frac{114}{5} \\ = 22.8[/tex]

The 100g beans of packet 1 will cost £22.8.

Packet 2

125 g of beans = £28

100g of beans

[tex] = \frac{28}{125} \times 100 \\ = \frac{28}{5} \times 4 \\ = 5.6 \times 4 \\ = 22.4[/tex]

The 100g beans of packet 2 will cost £22.4.

Result :-

The packet 2, 125g for £28 is more valuable than packet 1, 500g for £114.

Answer:

the 125 gm packet

Step-by-step explanation:

Find the unit rate of each

1.14 /500 g = .00228  per gram

.28/128 g  = .0021875 per gram   <=====this is the better value  (costs less per gram)

Answer:

16

Step-by-step explanation:

6 percent of 15= 0.9

0.9*18≈16

Step-by-step explanation:

(58.29+7.26)÷5

= 59.7

159⅕ = -

root[(3.7+2.5)²+(4.2+3.1)²]

= root[(6.2)²+(7.3)²]

= root[38.44 + 53.29]

= root91.73

~ 10

Answer:

fail to reject the null

Step-by-step explanation:

99% confidence is equivalent to .01

the p-value is > .01 so fail to reject the null

if it was < .01 you would reject the null

Answer:

The answer is C.

Step-by-step explanation:

3.844 X 10 w/ power of 5= 384400

2 X 10 w/ power of 3= 2000

2000 x 384400= 768800000

7.688 x 10 w/ power of 5 = 768800

Answer:

Jupiter to Sun = 7.688 * 10⁸km

Jupiter to Sun = 2 * 10³ times Earth to Moon

Substitute 3.844 * 10⁵km for Earth to Moon

Jupiter to Sun = 2 * 10³ *  3.844 * 10⁵km

Jupiter to Sun = 2 *  3.844 * 10³ * 10⁵km

Jupiter to Sun = 7.688 * 10³ * 10⁵km

Jupiter to Sun = 7.688 * 10⁸km

Therefore, the answer would be C. 7.688 * 10⁸km

Step-by-step explanation:

Volume = 1/3 × (10×8) × 6

= 160 in³