A) A pack of 8 batteries cost £3.99 how much dose each battry cost? ( give your answer in penny ?) ________________________________B) A pack of 6 batteries of the same type costs 2.79. By calculating the price of the battery determine if this is a better value. You must show your working out?

Answers

Answer 1

£3.99 divided by 8 is £0.49875
Which, changed into pence and rounded up, is 50p.

£2.79 divided by 6 is £0.465
Which, changed into pence and rounded up is 47p.

50p is bigger than 47p

50 subtract 47 is 3p

The second one has the better value for money as it costs 3p less per battery.

Answer 2

(A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].

(B) cost of each battery is [tex]\£\;0.465[/tex].

Given: Cost of a pack of [tex]8[/tex] batteries is [tex]\£\; 3.99[/tex].

According to question,

(A) Cost of each battery can be calculated as [tex]\£\;\frac{3.99}{8}=\£\;0.49875[/tex].

As we know that,

[tex]\£\;1=100 \;\rm{penny}\\\£\;0.49=49 \;\rm{penny}\\[/tex]

(B) costs of a pack of [tex]6[/tex] batteries is [tex]\£\; 2.79[/tex].

Cost of each battery can be calculated as [tex]\£\;\frac{2.79}{6}=\£\;0.465[/tex].

Therefore, (A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].

(B) cost of each battery is [tex]\£\;0.465[/tex].

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Related Questions

Graph y=(x+2)^2-3
Show Vertex

Answers

[tex]\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\ -------------------------------\\\\ y=(x+2)^2-3\implies y=\stackrel{a}{1}[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-3}\quad \begin{cases} h=-2\\ k=-3 \end{cases}[/tex]

Answer:

-3,2

Step-by-step explanation:

just took the test edge 2020

Solve –19 = x – 4. A. x = –76 B. x = 25 C. x = –15 D. x = –23

Answers

Answer:

The answer is : -15 (C)

Step-by-step explanation:

–19 = x – 4

x - 4 = -19

x = -19 + 4

x = -15

Assume c and d function independently. for the system to function, either c or d must function.
a. if the probability that c fails is 0.08 and the probability that d fails is 0.12, find the probability that the system functions.
b. if both c and d have probability p of failing

Answers

For the "system" to function, we require that [tex]C\cup D[/tex] occurs (i.e. the event that either [tex]C[/tex] or [tex]D[/tex] function properly). This occurs with probability

[tex]\mathbb P(C\cup D)=\mathbb P(C)+\mathbb P(D)-\mathbb P(C\cap D)[/tex]

but since [tex]C[/tex] and [tex]D[/tex] are independent,

[tex]\mathbb P(C\cup D)=\mathbb P(C)+\mathbb P(D)-\mathbb P(C)\mathbb P(D)[/tex]

We're given that [tex]\mathbb P(C^C)=0.08[/tex] and [tex]\mathbb P(D^C)=0.12[/tex], so

[tex]\mathbb P(C\cup D)=(1-0.08)+(1-0.12)-(1-0.08)(1-0.12)=0.9904[/tex]

If [tex]\mathbb P(C^C)=\mathbb P(D^C)=p[/tex], then

[tex]\mathbb P(C\cup D)=(1-p)+(1-p)-(1-p)^2=1-p^2[/tex]

Final answer:

The probability that the system functions is 1. In part b, the probability that the system functions is 2 - 2p.

Explanation:

To find the probability that the system functions, we need to find the probability that either c or d functions. Since c and d function independently, we can use the addition rule of probability. The probability that c functions is 1 minus the probability that c fails, which is 0.08, so the probability that c functions is 1 - 0.08 = 0.92. Similarly, the probability that d functions is 1 - 0.12 = 0.88. Since either c or d must function, we can add the probabilities of c and d functioning: 0.92 + 0.88 = 1.80 (which exceeds 1 since it's not possible for both c and d to function simultaneously). Therefore, the probability that the system functions is 1.

In part b, if both c and d have a probability p of failing, then the probability that c functions is 1 - p, and the probability that d functions is also 1 - p. Again, using the addition rule of probability, the probability that the system functions is: (1 - p) + (1 - p) = 2 - 2p.

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The length of a rectangle is 8 cm more than 3 times its width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.

Answers

The equation should go something like this:
the length (l) is 8 more than 3 times the width (w) and the length plus the width is equal to half the perimeter
so the means that L= 3W+8 and L+W= 32
so you can plug in L to get 3W+8+W=32
Finally it would be 4W+8=32

Final answer:

To find the dimensions of a rectangle with length '8 cm more than 3 times the width' and a perimeter of 64 cm, form the equation 2(3W+8) + 2W = 64. Solving for W gives the width, which can be substituted into the equation 3W+8 to give the length.

Explanation:

The subject of the question is algebra, specifically how to form equations based on word problems involving geometric shapes. The rectangle problem you've given can be solved using the formulas for the perimeter of a rectangle.

The perimeter 'P' of a rectangle is given by P=2(length) + 2(width). In the problem, the length 'L' is given as 8 cm more than 3 times the width 'W', or L=3W+8. The perimeter 'P' is stated as 64 cm, so substituting our equation for length into the perimeter equation, we get 2(3W+8) + 2W = 64. This equation will yield the width of the rectangle. To get the length, you simply substitute the width into the length equation.

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In a rhombus, an altitude from the vertex of an obtuse angle bisects the opposite side. Find the measures of the angles of the rhombus.

Answers

The obtuse angles will measure 120° and the acute angles will measure 60°.

Drawing the altitude forms a right triangle. Let the side of the rhombus be x. The altitude bisects the opposite side, so the base of the triangle formed would be 1/2x. We have an expression for the side opposite this portion of the obtuse angle (cut by the altitude) and for the hypotenuse (the side length of the rhombus, x). opposite/hypotenuse is the ratio for sine. Our equation then looks like this:
[tex]\sin x=\frac{\frac{1}{2}x}{x} \\ \sin x=\frac{1}{2}x \div x \\ \sin x=\frac{1}{2}x \div \frac{x}{1} \\ \sin x=\frac{1x}{2} * \frac{1}{x}=\frac{1x}{2x}=\frac{1}{2}[/tex]
Now we take the inverse sine of both sides:
sin⁻¹(sin x)=sin⁻¹(1/2)
x=30

Since this portion of the triangle is 30, and the right angle is 90, the missing angle (an acute angle of the rhombus) is 180-30-90=60°. Since the acute angles and obtuse angles of a rhombus are supplementary, the obtuse angles must be 180-60=120°.

The angles of the rhombus determines the inclination of the sides of the

rhombus.

The correct response;The measures of the four angles of the rhombus are 60°, 60°, 120°, and 120°.

Method used to arrive at the above response;Given;

The altitude of the rhombus bisects the opposite side.

The angle of the rhombus at the vertex point of the altitude = An obtuse angle

Required:

The measure of the angles of the rhombus

Solution:

The length of the sides of a rhombus are equal.

The opposite angles of a rhombus are equal.

Let x represent the length of a side of the rhombus, we have;

The bisector from the vertex of the obtuse angle = An altitude

The angle the altitude forms with the side it bisects = 90°

Therefore;

The triangle formed by the altitude, half the bisected side and the side of the rhombus adjacent to the bisected side = A right triangle

The hypotenuse side to the right triangle = The side of the rhombus

Let θ represent the angle opposite the altitude, and between the sides of

the rhombus, in the right triangle by trigonometric ratios, we have;

[tex]\displaystyle cos(\theta) = \mathbf{\frac{Adjacent}{Hypotenuse}}[/tex]

[tex]\displaystyle cos(\theta) = \frac{0.5 \cdot x}{x} = 0.5[/tex]

θ = arccos(0.5) = 60°

Therefore, two acute (opposite) angles of the rhombus are 60°

The two obtuse angles of the rhombus are each = (360° - 2×60°) ÷ 2 = 120°

The angles of the rhombus are 60°, 60°, 120°, 120°.

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a round swimming pool has a circumference of 54 ft. Carrie wants to buy a rope to put across the diameter of the pool. the rope cost $0.85 per foot, and carrie need 3 feet more then the diameter of the pool. how much will carrie pay for the rope?

Answers

48.45 bc 54 plus 3= 57x .85

Hey there!

If the diameter of the pool is 54 feet, then you add 3 since Carrie needs 3 feet more than the diameter.

54 + 3 = 57

Last, you multiply the number of feet needed for the rope times the cost per foot of the rope:

57 x 0.85 = 45.9 <-----------

Carrie will pay $45.9 for the rope.

Hope this helps you.
Have a great day!

WILL GIVE BRAINLIEST

Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle B?

Enter your answer in the box.

m∠B=

Answers

x + 4x - 20 = 180
5x = 200
x = 40

<B = 4(40) - 20 = 160 - 20 = 140

answer

<B = 140

General Idea:

A cyclic quadrilateral has all its vertices on the circumference of the circle. The opposite angles of a cyclic quadrilateral are supplementary, that is it add up to get 180 degrees.

Applying the Concept:

Opposite angles B and D add up to give 180 degrees.

[tex] \angle B + \angle D=180\\ \\ 4x-20+x=180\\ Grouping \; like \; terms\\ \\ 4x+x-20=180\\ Combining \; like\; terms\\\\ 5x-20 =180\\ Adding \; 20 \; on\; both\; sides\\ \\ 5x-20+20=180+20\\ Combine\; like\; terms\\ \\ 5x=200\\ Divide\; 5\; on\; both\; sides\\ \\ \frac{5x}{5} =\frac{200}{5} \\ Simplify \; fraction\; on\; both\; sides\\ \\ x=40\\ \\ Substitute \; 40\; for\; x\; in\; the\; expression\; for\; \angle B \\ \angle B=4x-20=4(40)-20=160-20\\\\\angle B=140 [/tex]

Conclusion:

When Quadrilateral ABCD is inscribed in this circle, the measure of angle B for the given diagram is [tex] 140^{\circ} [/tex]

Apply the distributive property to create an equivalent expression.
1/2 (2a-6b+8) =?

Answers

Answer:

a - 3b + 4

Step-by-step explanation:

The distributive property indicates that two or more terms present in a sum or subtraction multiplied by another quantity, is equal to the sum or subtraction of the multiplication of each of the terms of the sum or subtraction by the number.

So,

1/2 (2a-6b + 8) = 1/2 (2a) + 1/2 (-6b) + 1/2 (8)

Now we multiply the factor (1/2) for each of the three terms,

1/2 (2a) + 1/2 (-6b) + 1/2 (8) = (2/2)a + (-6/2)b + (8/2) = a – 3b + 4

The solution is a - 3b + 4,

So we say that 1/2(2a - 6b + 8) is equivalent to a - 3b + 4.

The distributive property is solved to the equation and the expression is represented as A = a - 3b + 4

Given data:

To apply the distributive property to the expression 1/2(2a-6b+8), distribute the 1/2 to each term inside the parentheses.

1/2(2a-6b+8) can be rewritten as:

(1/2) * 2a + (1/2) * (-6b) + (1/2) * 8

Now, let's simplify each term:

(1/2) * 2a = a

(1/2) * (-6b) = -3b

(1/2) * 8 = 4

Putting it all together, the expression becomes:

A = a - 3b + 4

Hence, on applying the distributive property to 1/2(2a-6b+8) gives the equivalent expression as a - 3b + 4.

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Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = 3x4 + 4x3 + 13x2 + 16x + 4

Answers

Don't try anything positive.
f(-1) = 3 - 4 + 13 - 16 + 4 = 0 This one works so one factor is (x + 1)
f(-1/3) = gives a 0. So another factor is 3x + 1
The last factor is found by dividing 3x^2 + 4x + 1 into the original equation. That's (3x + 1)(x + 1) expanded.
When you do that you find that the last factor is (x^2 + 1)
You can see how this is factored at Wolframalpha dot com

Can you please help me ??

Answers

An obtuse triangle has a obtuse angle that measures larger than 90 degrees.

You have to apply the Phytagorean Teorem, which is:
c^2 = a^2 + b^2
c=√(a^2 + b^2)

"c" is the hypotenuse.
"a" and "b" are the legs of the triangle (10 inches and 15 inches).
Let's substitute those values in the equation:

c=√(a^2 + b^2)
c=√(10^2 + 15^2)
c=√325
c=18 inches

What is the smallest possible whole-number length of the unknown side?

It is the next largest integer greater: 19 inches.

Harrison High School has 768 students. In 6 years, it is projected to have 1,157 students. What is the projected average rate of change per year in students over this time period?

Answers

Probably 65 students per year

The game of european roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. a ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. gamblers can place bets on red or black. if the ball lands on their color, they double their money. if it lands on another color, they lose their money.

Answers

R u supposed to multiply this or divide

Answer:

a) Expected amount of winnings = -$0.084

Standard deviation = $3.00

b) Expected amount of winnings = -$0.084

Standard deviation = $1.73

c) The expected winnings for both cases is exactly the same, but the spread of the wins about the expected value/mean is low in the case (b) compared to case (a).

So, with the expected winnings using the method in (a) and (b) the same, the risk associated with betting $3 dollar per game is higher because it has a higher standard deviation. This points to higher spread of losses and wins betting $3 once than betting $1 three different times.

Step-by-step explanation:

(a) Suppose you play roulette and bet $3 on a single round. What is the expected value and standard deviation of your total winnings?

It's either one wins or not with a bet of $3.

We can then obtain the probability mass function.

Random variable X represents the amount of winnings.

- If one bets $3 and picks the right colour, the person wins $6.

X = amount of winnings = 6 - 3 = $3

probability of winning = (18/37) = 0.486

- If one bets $3 and picks the wrong colour, then the person wins $0.

X = amount of winnings = 0 - 3 = -$3

Probability of losing = (19/37) = 0.514

The probability mass function is then

X | P(X)

3 | 0.486

-3 | 0.514

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

E(X) = (3×0.486) + (-3×0.514) = -$0.084

Standard deviation = √(variance)

Variance = Var(X) = Σx²p − μ²

μ = E(X) = -0.084

Σx²p = (3²×0.486) + [(-3)² × 0.514] = 9

Variance = 9 - (-0.084)² = 8.993

Standard deviation = √8.993 = 2.999 = $3

(b) Suppose you bet $1 in three different rounds. What is the expected value and standard deviation of your total winnings?

With a bet of $1,

It's either one wins or not with a bet of $1.

We can then obtain the probability mass function.

Random variable X represents the amount of winnings.

- If one bets $1 and picks the right colour, the person wins $2.

X = amount of winnings = 2 - 1 = $1

probability of winning = (18/37) = 0.486

- If one bets $1 and picks the wrong colour, then the person wins $0.

X = amount of winnings = 0 - 1 = -$1

Probability of losing = (19/37) = 0.514

The probability mass function is then

X | P(X)

1 | 0.486

-1 | 0.514

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

E(X) = (1×0.486) + (-1×0.514) = -$0.028

For 3 rounds of $1, the expected amount of winnings = 3 × -0.028 = -$0.084

Variance = Var(X) = Σx²p − μ²

μ = E(X) = -0.028

Σx²p = (1²×0.486) + [(-1)² × 0.514] = 1

Variance = 1 - (-0.028)² = 0.999216

Variance for combining 3 independent distributions = Σ λᵢ²σᵢ²

Variance of 3 rounds of $1 bets = 3[1²× var(X)] = 3 × var(X) = 3 × 0.999216 = 2.997648

Standard deviation = √(variance) = √(2.997648) = $1.73

The expected winnings for both cases is exactly the same, but the spread of the wins about the expected value/mean is low in the case (b) compared to case (a).

Hope this Helps!!!

a store is going out of business everything is marked down 40% how much do you pay for an item that cost $150

Answers

Multiply the price of the item by the percentage off, then subtract it from the price of the item.

x= sale price

x= $150 - ($150 * 40%)
x= 150 - (150 * 0.40)
x= 150 - 60
x= $90 sale price

CHECK:
=150*60%
=$90
You can also find the sale price this way. Multiply the original price by 100-sale percent).

ANSWER: The sale price is $90.

Hope this helps! :)

1. A/an _______ triangle has all three angles measuring less than 90°. A. right B. obtuse C. scalene D. acute

Answers

The answer is D) or acute because it's the definition of an acute triangle.

An acute angle that measures less than ninety degrees but is more than zero degrees. (0°)

So, the answer is
D)

what is the area of this parallelogram?

44cm^2

55cm^2

99cm^2

220cm^2

(I forgot to put the picture on this one)

D. (4cm) F. 5cm C.

(11cm)

A. 5cm E 4cm B.

~~~~~~~~~~~~~~~~~~

what is the area of this parallelogram?

10.35cm^2

12.5cm^2

20.25cm^2

30.6cm^2

Answers

Formula for area of parallelogram:
A= bh
Where b is the length of base and h is the height.
Here b=2.3+4.5 = 6.8 cm
and h= 4.5 cm
Put values in formula.

A= 6.8 x 4.5
A=30.6 cm²

Answer: 30.6 cm²

Find the length of a rectangular prism having a volume of 2830.5 cubic meters , width of 18.5 meters, and height of 9 meters.

Answers

The length is = 17m

Answer:

l = 17 m
w = 18.5 m
h = 9 m
d = 26.688 m
S = 1268 m2
V = 2830.5 m3

Tomas wrote the equation y = 3x 3/4+. When Sandra wrote her equation, they discovered that her equation had all the same solutions as Tomas’s equation. Which equation could be Sandra’s?

Answers

3x-y= -3/4 this is the answer

Answer:

–6x + 2y = 3/2 is Sandra's equation.

Step-by-step explanation:

Given Equation of Tomas is

[tex]y=3x+\frac{3}{4}[/tex]

Solution of equation of Sandra is same as solution of Tomas Equation.

This only possible when ratio of the coefficients of the variable and constant term is equal.

So,

Multiply Tomas equation with 2.

2y= 6x + 3/2

This is one of the equation possible for Sandra's equation

Therefore, –6x + 2y = 3/2 is Sandra's equation.

What is m∠KNL?
Enter your answer in the box.

Answers

Angle KLN is congruent to angle JNM because they are vertical angles and vertical angles are congruent.
Set up am equation to make them equal to each other.
5x+2 = 3(x+14)
Distribute 3 to the values in the parentheses
5x+2 = 3x+42
Subtract 3x from both sides
2x +2 = 42
Subtract 2 from both sides
2x = 40
Divide both sides by 2
X=20

Substitute 20 for x in the angle KLN
3(20+14)
Simplify parenthesis
3(34)
Multiply
KLN =102 degrees

There are several relationships between angles in a transversal.

The measure of KNL is 102 degrees.

From the figure,

Angles KNJ and JNM are corresponding angles

So, we have:

[tex]KNJ = JNM[/tex]

This gives

[tex]3(x + 14) = 5x + 2[/tex]

Open brackets

[tex]3x + 42 = 5x + 2[/tex]

Collect like terms

[tex]3x - 5x = 2 - 42[/tex]

[tex]-2x = -40[/tex]

Divide both sides by -2

[tex]x = 20[/tex]

Angle KNL is

[tex]\angle KNL =3(x + 14)[/tex]

Substitute 20 for x

[tex]\angle KNL =3(20 + 14)[/tex]

[tex]\angle KNL =3(34)[/tex]

[tex]\angle KNL =102[/tex]

Hence, the measure of KNL is 102 degrees.

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Use the compound interest formula to find the future value A for the following values.
P= $ 1,500
i = 0.075
n= 26

Answers

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=1500\left(1+\frac{0.075}{1}\right)^{1\cdot 26}\implies A=1500(1.075)^{26}[/tex]

What is the constant of variation for the quadratic variation? 0.1y = 3x2

Answers

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

[tex]y = kx^2[/tex] ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

[tex]0.1y=3x^2[/tex] or

[tex]y=(\frac{3}{0.1})x^2[/tex] or

[tex]y=30x^2[/tex]

Comparing this equation with equation [1], to get the value of k;

k=30.

therefore, the constant of variation is, 30.

In matrix T, what is the value of element t13?

Answers

we know that
in the matrix T the element t(13) refers to the element in row 1 and column 3

therefore
the answer is 7

Help me fast pleaseee

Answers

$2.76

Since 9 is closer to 10 than 0, we round up.

What is the value of 60 tens?

Answers

[tex] {10}^{6} [/tex]

It would be 600.

You would multiply 60 times 10.

Hope it helped!:)

HELP!

Solve equation...
please show steps

Answers

[tex]\bf log_2(5)-log_2(x+2)=3\implies log_2\left( \cfrac{5}{x+2} \right)=3\\\\ -------------------------------\\\\ \textit{Logarithm Cancellation Rules}\\\\ log_a a^x\implies x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 2^{log_2\left( \frac{5}{x+2} \right)}=2^3\implies \cfrac{5}{x+2}=2^3\implies \cfrac{5}{x+2}=8\implies 5=8x+16 \\\\\\ -11=8x\implies -\cfrac{11}{8}=x[/tex]

[tex]\log_25-\log_2(x+2)=3 \ \ \ \ \ \ [x\ \textgreater \ -2] \\ \\ \log_2 \left( \frac{5}{x+2}\right) =3 \\ \\ \frac{5}{x+2}=2^3 \\\\ \frac{5}{x+2}=8 \\ \\ 5=8(x+2) \\ \\ 5=8x+16 \\ \\ 5-16=8x \\ \\ -11=8x \\ \\ x=- \frac{11}{8} [/tex]

what is C=24x+80 R=44x breakeven point

Answers

For this case we have the following equations:
[tex] C = 24x + 80 R = 44x[/tex]
The break even point occur when C = R:
We have then:
[tex] 24x + 80 = 44x [/tex]
Clearing x we have:
[tex] 44x - 24x = 80 20x = 80 x = 80/20 x = 4[/tex]
Then, substituting in any of the equations we have:
[tex] C = 24 (4) +80 C = 96 + 80 C = 176[/tex]
The break even point is:
(4, 176)
Answer:
The break even point is:
(4, 176)

Answer:

resumably this is number of units sold. Explanation: At the break even point Cost equals Revenue: 24x+80=44x. ⇒80=20x. ⇒x=4.

Step-by-step explanation:

the set of points (2,3,), (9,3), (9, -2), and (2,-2) identifies the vertices of a quadrilateral. which is the most specific describtion to tell which figure the points form?

Answers

check the picture below.

it has two parallel sides, is a parallelogram.

it also has 4 right-interior-angles, so is a rectangle as well.

Solve the system of equations using the linear combination method.

{4x−3y=12
7x−3y=3

Enter your answers in the boxes.

x =
y =

Answers

4x - 3y = 12
-7x + 3y = -3
------------------
-3x + 0 = 9
x = -3

4(-3) - 3y = 12
-12 - 3y = 12
-3y = 12 + 12
-3y = 24
y = -8

Answer:

x = -3

y = -8

Step-by-step explanation:

I took the test

Solve the exponential equation algebraically and use a graphing utility
400/1+e^-x= 350

Answers

Lets first solve the exponential equation[tex] \frac{400}{1+e^{-x} } =350[/tex] algebraically:
[tex]400=350(1+e^{-x} )[/tex]
[tex]400=350+350e^{-x} [/tex]
[tex]50=350e^{-x} [/tex]
[tex]350e ^{-x} =50[/tex]
[tex]e^{-x} = \frac{50}{350} [/tex]
[tex]e ^{-x} = \frac{1}{7} [/tex]
[tex]ln(e ^{-x} )=ln( \frac{1}{7} )[/tex]
[tex]-x=ln( \frac{1}{7} )[/tex]
[tex]x=-ln( \frac{1}{7} )[/tex]
[tex]x=1.95[/tex]

Now to find the solution using a graphing utility, just type the equation and look for the point in which the graph intercepts the x-axis as shown in the picture. The point in which the graph intercepts the x-axis is a zero of the function, and therefore the solution.

A dozen long stem red roses cost $57 what is the unit rate of for roses

Answers

Let
r--------------------- > unit rate of roses
we know that
A dozen long stem red roses cost ------------- >$57
therefore
r=(57/12)=4.75

the unit rate of rose (r) is $4.75 per rose

what is the value of log5 125

Answers

Definition of log:

[tex]log_bX=a <=>X=b^a[/tex]

This means that
[tex]log_5125=a <=>125=5^a[/tex]
but we know that 5^3=5*5*5=125
therefore
a=3, or
[tex]log_5125=3[/tex]

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