9 tenths plus 7 hundredths =

The total cost if you buy 2 bottles of liquid soap and 3 sponges is $6.79.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=5x+6. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=5 and b=6.

First, you should convert the given text into an equation. See below.

From previous equations (1) and (2), you can find the unit cost. See below.

If 6b=9.12, you have:

    b=9.12/6

    b=$1.52

If 4s=5.00, you have:

    s=5.00/4

    s=$1.25

Since you know the unit cost for the bottles of soap and the sponges, you can find the total cost if you buy 2 bottles of liquid soap and 3 sponges.

2b + 3s =?

2*1.52+3*1.25

3.04+3.75=6.79

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The plot of the points √16, √35, and √66 on the x-axis is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Points = √16, √35, and √66

When these points are simplified, we have

√16 = 4

√35 ≈ 5.92

√66 ≈ 8.12

So, the locations of the points on the x-axis are

Using the above as a guide, we can now plot the points on the x-axis

See attachment

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Answer:

Approximately Normal

Step-by-step explanation:

Even though we don't know the shape of the population distribution of thicknesses, the sampling distribution of -x  will be approximately normal since the sample size is large (n=100≥30).

The true statement, regarding the signal of the graphed function, is given by:

F(x) > 0 over the interval (–∞, –4).

Looking at it's graph, we have that:

Researching this problem on the internet and looking at the graph of the function, the function is negative for all values to the right of x = -4,  and positive to the left, hence the correct statement is given by:

F(x) > 0 over the interval (–∞, –4).

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Answer:

4.

a.octagon

b.squertagon

c.triangle

t.b

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Kennedy will pay $46.58 to mail all four packages.

Given that; Kennedy wants to mail three packages that each weigh 2.25 pounds.

Hence:

The weight of packages is:

3 × 2.25 pounds per package = 6.75 pounds

He also wants to mail another package that weighs 1.75 pounds. Therefore, the total weight of all the packages is:

6.75 pounds + 1.75 pounds = 8.5 pounds

To determine the total cost of mailing all four packages, we need to multiply the total weight by the cost per pound.

Since the cost per pound is given as $5.48.

Therefore, the total cost will be:

Total cost = 8.5 pounds × $5.48 per pound

Total cost = $46.58

Therefore, the total cost of mailing all the packages is $46.58.

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Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

The digit of the palindromic number is 5.

This means that:

So, the total number of digits is:

\(Digits = 7 + 7 + 9 + 1 +1\)

Evaluate the sum

\(Digits = 25\)

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

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The fraction illustrates that each person will get less sub since there are more people sharing it.

In this case, Dario purchased a party size sub, and he decides to share it with 3 of his friends but another friend came. This means there will be less in to be shared.

The fraction of the party size sub did each person get after all the parts were shared out will be:

= 1/5 × 4

= 4/5

Therefore, each person gets 4/5.

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If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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Recall the half-angle identity for cosine,

cos²(θ/2) = (1 + cos(θ))/2

Since θ lies in quadrant I, we also have θ/2 in quadrant I, since

0 < θ < π/2   ⇒   0 < θ/2 < π/4

Then for this θ, we have

cos(θ/2) = + √((1 + cos(θ))/2)

Also recall the Pythagorean identity,

cos²(θ) + sin²(θ) = 1

Multiplying through both sides of this identity by cos²(θ) gives another form of it,

1 + tan²(θ) = sec²(θ)

Because θ belongs to quadrant I, we know cos(θ) > 0, so we also have sec(θ) = 1/cos(θ) > 0.

It follows that

sec(θ) = + √(1 + tan²(θ)) = √89/8

⇒   cos(θ) = 8/√89

and so

cos(θ/2) = + √((1 + 8/√89)/2) = √(1/2 + 4/√89)

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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The two planes are approximately 200 miles apart, rounded off to the nearest integer.

Using the Law of Cosines formula,

The distance between the two planes can be determined.

The formula for the Law of Cosines is as follows: c^2 = a^2 + b^2 - 2ab*cos(C), where c is the side opposite the angle C and a and b are the other two sides.

Using the formula, the distance between the two planes after one hour can be calculated as follows:

\(c^2\) = \(200^2\) + \(300^2\) - 2(200)(300)cos(50°)\(c^2\)

= 40,000 + 90,000 - 120,000cos(50°)\(c^2\)

= 130,000 - 89,873.86c

= sqrt(40,126.14)c

= 200.315 miles

Therefore, after one hour, the two planes are approximately 200 miles apart, rounded off to the nearest integer.

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The value of x in the angles is 20

The angles are given as

4x - 12 and 7x - 28

These angles are same side interior angles

So, we have

4x - 12 + 7x - 28 = 180

Collect the like terms

So, we have

4x + 7x  - 12 - 28 = 180

Evaluate the like terms

So, we have

11x  = 220

Divide both sides by 11

x= 20

Hence, the value of x in the angles is 20

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Answer:

x = 54°

y = 144°

Step-by-step explanation:

x° + 36° = 90° (complementary angles)

Subtract 36° from each side of the equation

x° = 90 - 36°

x = 54°

y° + 36° = 180° (angles on a straight line/supplementary angles)

Subtract 36° from each side

y° = 180° - 36°

y = 144°

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

q=8

Step-by-step explanation:

-5q=-8-32

-5q=-40

q=-40/-5

q=8

Answer:

q = 8

Step-by-step explanation:

32-5q=-8

subtract 32 from both sides

32-5q-32=-8-32

simplify

-5q=-40

divide both by -5

-5q/-5 = -40/-5

Answer

q = 8

Answer:

x = 10

Step-by-step explanation:

\(x = (5 \sqrt{2} ) \sqrt{2} = 5 \times 2 = 10\)

Answer:

A and A that is the answer

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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Answer:

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Make 4 \(\frac{2}{5}\) an improper fraction. To do that multiply the denominator, 5 by 4, which gets you 20. Then add the numerator, 2, to get 22. put the original denominator back into the fraction, and you get \(\frac{22}{5}\) . If you divide that by \(\frac{2}{5}\) , you would get 11 because you divide the numerator and the denominators cancel each other out since they are both the same number, and 22 ÷ 2 = 11.

For a set of data in which the sample mean is 83.3 and the sample standard deviation is 6.3 the z-score given that x = 79.8 would be -0.555

We know that the formula for calculating a z-score is :

z = (x - μ) / σ

where z is the standard z - score

x is the observed value

μ is the mean of the sample

σis the standard deviation of the sample

here, set of data in which the sample mean is 83.3 and the sample standard deviation is 6.3

i.e., μ = 83.3,  σ = 6.3

We calculate the z-score for x = 79.8

Using above formula,

z = (x - μ) / σ

z = (79.8 - 83.3) / (6.3)

z = (-3.5) / (6.3)

z = -0.555

Therefore, the z-score is:  -0.555

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The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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Answer:

x+41=-11 I guess

Step-by-step explanation:

Answer:

A1 / B1 ;

(D1 - A1) / B1 ;

(A1 - E1*A1) / B1

Step-by-step explanation:

A1 = original price of car

B1 = annual Depreciation amount

Number of years it will take for the car to depreciate totally :

Using the straight line Depreciation relation :

y = mx + c

c = intercept = initial or original value of car

m = annual Depreciation amount

x = number of years

y = value after x years

For total Depreciation, final value, y = 0

0 = mx + c

mx = - c

x = - c / m

Hence, x = A1 / B1

B.)

D1 = car value

Length it will take for car to depreciate to value in D1 :

y = mx + c

y = D1; m = B1 ; c = A1

D1 = B1x + A1

B1x = D1 - A1

x = (D1 - A1) / B1

C.)

E1 = decrease percentage

Time it takes for car to decrease by percentage in E1

y = E1 * A1

E1 * A1 = B1x + A1

(A1 - E1*A1) = B1x

x = (A1 - E1*A1) / B1

Answer:

2v-1

Step-by-step explanation:

9v+-3v+-4v-2+1

=9v-3v-4v-1

=6v-4v-1

=2v-1