For each of the figures write an absolute value equation to satisfy the given solution set -5 and -1

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

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Answer:

D. No x-intercept, y-intercept 9

Step-by-step explanation:

The line intercepts at (0, 9)

Answer:

Step-by-step explanation:

You know an angle, the side opposite the angle, and the side between them.

Use the Law of Sines.

j3 = arcsin(2.7sin(j1)/4.2) ≅ 27.0°

j2 = 180°-j1-j3 ≅ 108.0°

x = distance from j1 to j2

= 4.2sin(j2)/sin(j1)

≅ 5.7 miles

Hello!

Equation: \(x^3=-115\)

To solve, we will need to take the roots:

\(x = (-115)^{(\frac{1}{3} )}\)

Answer:

\(x=-\sqrt[3]{115}\) or \(x=-4.862944\)

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

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The required trinomial expression is given as x² -8x - 20.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial , binomial and trinomial etc. ax+b is a polynomial.

here,
A trinomial is consist of 3 terms in the expression,
Now, simplify the given expression,
(x-10)(x+2) = x² -10x + 2x - 20
                = x² - 8x - 20

Thus, the required trinomial expression is given as x² -8x - 20.

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Answer:

8b + 3.75p ≤ 80

Answer:

No Solution

Step-by-step explanation:

OK first just remember PEMDAS which stands for

Parentheses Exponents Multiplication Division Addition Subtraction

so we do these things in order from left to right.

first i see some parentheses so lets take care of that, pay attention to this part

2(4x - 5)

lets do some distribution, we multiply the numbers in the parentheses by the number thats right outside of the parentheses

this becomes

8x-10

so now we have...

\(5x+3x=8x-10-2\)

it is pretty easy from this point on

just add like terms. 5x plus 3x equals 8x. -10 - 2 equals -12.

\(8x=8x-12\)

now we have to do opposite calculations on both sides. for example, lets take the 8x to the right of the equal sign, and subtract 8x from both sides.

\(0=-12\)

is this true? does this make sense? NO! so the answer is No Solution.

Answer:

No solution

Step-by-step explanation:

collect like terms,

8x = 2(4x - 5) -2

Then distribute to throughout the parentheses,

8x = 8x - 10 - 2

Cancel equal terms on both sides of the equation,

0 = -10 - 2

Calculate the difference,

0 = -12

This statement is false because zero does equivalate to -12.

Answer:

  "line of reflection."

Step-by-step explanation:

It appears as though the figure on the left is a reflection of the figure on the right across the line. Hence line P is the line of reflection.

Answer:

C

Step-by-step explanation:

because 52 is greater than 15

Answer:

x=8

Step-by-step explanation:

have a good day

Answer:

x=8

Step-by-step explanation:

divide both sides of the by equation by 4

4x÷4=32÷4

x=32÷4

x=8

Answer:

9

Step-by-step explanation:

Let x= number of cards in each set

4x-5=31 (add 5 to each side)

4x=36 (divide each side by 4)

x=9

Answer:

true

Step-by-step explanation:

Answer:

surface area = 74π

Step-by-step explanation:

The surface are of a cylinder is the sum of the area of the 2 circular base and the curved surface area.

A cylinder has 2 circular base and the curved surface region. Mathematically,

surface area = area of 2 circles + curved surface area

area of  2 circles = πr² + πr² = 2πr²

curved surface area = 2πrh

surface area = 2πr² + 2πrh

surface area = 2πr(r + h)

where

r = radius

h = height

assuming the r = 12 cm and h = 25 cm

Therefore, replacing the value in the formula

surface area = 2πr(r + h)

surface area = 2π(12 + 25)

surface area = 2π(37)

surface area = 74π

Answer:

p = 17.125

Step-by-step explanation:

The total cost needed to tile the training room with an area of 100 m² is R110.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let assume that the area of the trainig room is 100 m² and one box can complete 50 m², hence:

number of box needed = 100 m² / 50 m² = 2

Total  cost = R55 per box * 2 box = R110

The total cost needed to tile the training room with an area of 100 m² is R110.

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The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer:

2x=2

x=2/2=1

1

ghis is the answer hope it is correct if not please commend

Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1

The comparison of the connection here between variable and its value is a compound inequality. In a compound inequality, a variable is compared across two ranges which may provide the variable's range by satisfying either one or both of the limitations .

The given absolute value inequalities :

|(x+1)/2 - x/2| < 1/2

Removing the modulus sign will for 2 equations:

(x+1)/2 - x/2 < 1/2  and  (x+1)/2 - x/2 < - 1/2

Simplifying each:

(x+1)/2 - x/2 < 1/2  

x/2 + 1/2 - x/2 < 1/2

Both values will get cancelled:

0 < 0

But 0 = 0

and  (x+1)/2 - x/2 > - 1/2

x/2 + 1/2 - x/2 > -1/2

0 > -1 (correct)

here also the terms are getting completely cancelled to

Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1

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Complete question:

Find the set of the solutions of the following absolute value inequalities.

|(x+1)/2 - x/2| < 1/2

Answer:

1  19/30

Step-by-step explanation:

Answer:

NEVERMIND (I thought 45/30, but i dont know)

Step-by-step explanation:

Answer:

(4b)•(0.5a) = (4•0.5)(a)(b) = 2ab

Step-by-step explanation:

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Answer:

f(3r - 1) = -6r + 6

Step-by-step explanation:

To find f(3r - 1), we substitute 3r - 1 for x in the expression for f(x) and simplify:

f(x) = 4 - 2x

f(3r - 1) = 4 - 2(3r - 1)

= 4 - 6r + 2

= -6r + 6

So, f(3r - 1) = -6r + 6.

Answer:

D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.

Step-by-step explanation:

A: 1 Ruler for $0.25

B: $0.30

C: $0.20

D: $0.15

Answer:0.25

Step-by-step explanation:

The coordinates of the point B' after the dilation is B' ( 7/18 , -2/15 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the coordinates of the point after dilation be represented as B'

Now , the dilation scale factor d = 1/9

The coordinates of the point B = B ( 7/2 , -6/5 )

So , on simplifying the equation , we get

The x coordinate of the point B' = ( 7/2 x 1/9 )

The x coordinate of the point B' = 7/18

The y coordinate of the point B' = ( -6/5 ) ( 1/9 )

The y coordinate of the point B' = -2/15

Hence , the coordinates of the point B' is B' ( 7/18 , -2/15 )

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