Subtract (5x + 3) from (9x – 7).

Answer:

x = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Multiply all terms in the equation by the lowest common multiple of 3 and 5, that is 15. This will eliminate the fractions in the equation

10(1 - 2x) - 30x = - 6 + 20(2 - 3x) ← distribute and simplify both sides

10 - 20x - 30x = - 6 + 40 - 60x

10 - 50x = 34 - 60x ( add 60x to both sides )

10 + 10x = 34 ( subtract 10 from both sides )

10x = 24 ( divide both sides by 10 )

x = [tex]\frac{24}{10}[/tex] = [tex]\frac{12}{5}[/tex]

Without a specific figure, it's not possible to definitively answer which parallel lines statement is true. However, parallel lines are equidistant and never meet, contrasting with mutually perpendicular lines, which intersect at right angles.

Given the various contextual clues from the fragments presented, it seems that the question concerns the properties of parallel lines and their behavior in a geometric or physical context, possibly relating to vectors, navigation, or electrical currents. However, without a specific figure or more detailed information, it's not possible to accurately determine which statement is true regarding the parallel lines in the figure.

For parallel lines, we know that they are equidistant from each other at all points and will never meet, no matter how far they are extended. This trait could relate to the x-axis alignment if we assume the lines are coplanar. On the other hand, if lines are mutually perpendicular, they will intersect at right angles to each other and therefore are not parallel.

D) AB is parallel to CD.

To understand why this statement is true, let's analyze the properties of a trapezium and the given figure.

A trapezium is a quadrilateral with one pair of parallel sides. In this case, AB and CD are the sides of the trapezium.

Looking at the given figure, we can see that AB is the upper side and CD is the base of the trapezium. Since AB and CD are not intersecting each other and are on opposite sides of the trapezium, they must be parallel to each other.

Therefore, the correct parallel lines statement is that AB is parallel to CD.

To summarize:
- AB and CD are the sides of the trapezium.
- AB is the upper side and CD is the base.
- AB and CD are not intersecting and are on opposite sides of the trapezium.
- Therefore, AB is parallel to CD.

Answer:

660 ft³

Step-by-step explanation:

The volume (V) of a rectangular prism is calculated using the formula

V = lbh ( l is length, b is breadth and h is height )

The dimensions must be in the same units, thus we need to change length into feet.

l = 4 × 3 = 12 ft ( 1 yard = 3 feet )

b = 5 ft and h = 11 ft

V = 12 × 5 × 11 = 660 ft³

Final answer:

Convert the length from yards to feet, then calculate the volume by multiplying length, width, and height to get 660 cubic feet.

Explanation:

To find the volume of a rectangular prism, you multiply the length, width, and height together. However, notice that in the problem the lengths are not all in the same units; the length is given in yards and the width and height in feet. First, we need to convert yards to feet so that all dimensions are in the same units, using the conversion factor that 1 yard is equal to 3 feet.

After converting, the length will be:

4 yd = 4 x 3 ft = 12 ft

Then you can calculate the volume:

Volume = length x width x height

= 12 ft x 5 ft x 11 ft

= 660 cubic feet

.

Answer:

The number is 10

I can’t do it rn so just dm me later

Answer:

The diameter of an extra large pizza from Gambino's Pizzeria is [tex]44\ cm[/tex]

Step-by-step explanation:

we know that

The area of a circle (circular pizza ) is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]A=484\pi\ cm^{2}[/tex]

substitute in the formula and solve for the radius r

[tex]484\pi=\pi r^{2}[/tex]

Simplify

[tex]484=r^{2}[/tex]

[tex]r=22\ cm[/tex]

Find the diameter

Remember that the diameter is two times the radius

[tex]D=2(22)=44\ cm[/tex]

Answer:

44

Step-by-step explanation:

Answer:

D

the answer is D

Answer:

Can you check your equation?  None of the solutions work out.

Step-by-step explanation:

Answer:

5 slices

Step-by-step explanation:

Answer:

80% decrease

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

£15.00 - £14.76 = £0.24

I hope I help you..

The mother buys 3 T-shirts and a pair of shorts. The possible coins she could receive as change are £1, 50p, 20p, 2p, and 1p.

The cost of 3 T-shirts can be calculated as:

3 T-shirts= 3 x £3.25 = £9.75

The cost of a pair of shorts is £4.99

Therefore, the total cost of 3 T-shirts and a pair of shorts is £9.75 + £4.99 = £14.74

If the mother pays with a £10 note and a £5 note, she could receive coins like £1, 50p, 20p, 2p, and 1p as change.

Answer:

B grade

Step-by-step explanation:

75 + 90 + 88 + 86 = 339

339/4 = 84.75

Grade B = 80-89%

Answer:

Betty will get 85 grade.

Step-by-step explanation:

Betty scored 75,90,88,72, and 86 on her tests.

As given the teacher throws out the lowest grade, we will not consider 72.

Now the teacher averages the remaining grades, and round up to the nearest integer.

So, taking the average we get;

[tex]\frac{75+90+88+86}{4}[/tex]

= 84.75

Rounding this to nearest integer, we get 85.

Hence, Betty will get 85 grade.

Since you're finding the sum (adding) all you have to do is combine like terms.

5x ² is by itself because there is no other term with x²

3x and 12x because they have an x

-7 and 12 because they're normal coefficients

Then you're left with 5x² + 15x + 5, answer choice A

Answer:

  5x² + 3x - 7 + 12x + 12 = 5x² + 15x + 5

So here we have 3x and 12x, you can see that they have the common factor which is x, so you keep x and add 3 and 12 and we have 15x. For the numbers just calculate as usual. What you have 5x² left, there is no number to subtract or add with it so it will remain unchanged.

Answer:

-4r

Step-by-step explanation:

Since r and -5r both have the same variable, we can combine them

r-5r = -4r

r+(−5r) = -4r

Answer:

Step-by-step explanation:

-4r

Answer:

Step-by-step explanation:

This problem does not specify what the radius of the circle is, and so we will have to represent that by r.

Arc length = s = rФ, where Ф is the central angle in radians.

Converting 162° into radians:  

162°        1 rad

------- · ------------ = 0.9 rad

    1        180°

Then the arc length BC is s = rФ, or r(0.9 rad)

If, for example, r = 10 m, then the arc length would be (10)(0.9) m = 9 m

Answer:

198

Step-by-step explanation:

360-162=   198

The cost of the truck rentals will be the same at 200 miles

How to determine the miles when the cost will be the same

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

Company 1: 39.95 + 0.45x

Company 2: 59.95 + 0.35x

When the costs are equal, we have

39.95 + 0.45x = 59.95 + 0.35x

Evaluate the like terms

So, we have

0.1x = 20

Divide both sides by 0.1

x = 200

This means that the number of miles is 200

Question

two companies rent moving trucks. pack and go charges $39.95 flat fee and $0.45 for every mile driven. U-drive charges $59.95 flat fee and $0.35 for every mile driven.

At how many miles is the cost of the truck rentals the same

Answer:

6 hours

Step-by-step explanation:

6 Hours is Jose's drive time.

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Given

D=RT

D=40T

T=D/40 FOR JOSE.

D=48*5 FOR ROB.

D=240 Miles from the white house to the recycling plant.

240=40T

T=240/40

T=6 Hours is Jose's drive time.

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Answer:

see explanation

Step-by-step explanation:

To evaluate f(a + h) substitute x = a + h into f(x)

f(a + h)

= 2(a + h)³

= 2( a³ + 3a²h + 3ah² + h³ ) ← distribute

= 2a³ + 6a²h + 6ah² + 2h³

A function is a relation that gives single output on single input The value of the substitute function f(a + h) for the function f(x) = 2x³ will be 2a³ + 6a²h + 6ah² + 2h³.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function,

f(x) = 2x³

Substitute x → a + h

f(a + h ) = 2(a + h)³

It is known that (a + b)³ = a³ + b³ + 3a²b + 3ab².

Therefore,

f(a + h ) = 2[a³ + h³ + 3ah² + 3a²h]

f(a + h ) = 2a³ + 2h³ + 6ah² + 6a²h

Hence "A function is a relation that gives single output on single input The value of the substitute function f(a + h) for the function f(x) = 2x³ will be 2a³ + 6a²h + 6ah² + 2h³".

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Answer:

The area is A = L * W = 24 units^2

Step-by-step explanation:

The width (measured horizontally) is (7 - 3), or 4 units.  The height (measured vertically) is (8 - 2), or 6 units.

The area is A = L * W = (6 units)(4 units) = 24 units^2.

Answer:

24^2

Step-by-step explanation:

Answer:

40 cubes

Step-by-step explanation:

We need to determine the volume of the cuboid.

[tex]Volume=lbh[/tex]

We substitute the given dimensions l=2.5cm,w=2cm and h=1cm.

[tex]Volume=2.5\times2\times1cm^3[/tex]

[tex]Volume=5cm^3[/tex]

The volume of the cube is [tex]Volume =(\frac{1}{2})^3=\frac{1}{8} cm^3[/tex]

We need to divide the volume of the cuboid by the volume of the cube to get the number of cubes that can fill it;

[tex]\frac{5}{\frac{1}{8} }=8\times 5=40[/tex]

Answer:

square root 4

Step-by-step explanation:

I think the answer is 40

I think it’s 8d+5.

21$ is the start.

You need to take 6$ off because of the setup charge.

21-6= 15$ left

Every 10 minutes costs $5.50 so you need to divide 5.50 from 15 and multiply that answer by 10. 20 minutes can be rented. with 4$ left

Answer:

B

Step-by-step explanation:

$40 is the flat fee of hooking a vehicle. It does not depend on m, miles towed.

$1.70 depends on miles towed, m. So if m miles are towed, the towing fee would be 1.70 * m, or 1.70m.

THAT, would be added to the initial fixed me of $40.

Hence, total charges, c, would be 40 + 1.70m

Answer choice B is right.

The correct equation that represents the total charges from Eddies towing company, taking into account the fixed hooking fee and the per mile charge, is c = 40 + 1.70m. This equation combines the constant fee of $40 and the $1.70 charge per mile, where the number of miles is represented by m.

The question is about finding the equation that represents the total charges, c, from Eddies towing company given the number of miles a vehicle is towed, m. Since the company charges a fixed fee of $40 for hooking the vehicle and an additional $1.70 for each mile the vehicle is towed, the correct equation should present these two charges. The fixed fee doesn't change with the number of miles, so it remains constant at $40. On the other hand, the per mile charge depends on how many miles are towed, hence it'll be multiplied with the number of miles, m. That results in an equation with the form of c = 40 + 1.70m. Therefore, the correct answer is option B.

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Answer:

it is 2/3

Step-by-step explanation:

The answer should be (B)

Answer:

B. [tex]x\approx 1.25[/tex].

Step-by-step explanation:

We have been given an equation [tex]2^x-4=-4^x+4[/tex]. We are asked to solve our given equation by graphing.

Upon graphing our given equation, we will get our required graph as shown in the attached image.

The solution for our given equation will be point, where graph intersects x-axis.

Upon looking at our given graph, we can see that it intersects x-axis at [tex]x\approx 1.25[/tex]. Therefore, option B is the correct choice.

The equation for x by graphing -4x+1=3x-4 is x=0.75.

Given:

Find:

Solution:

We will solve the given equation

The Given equation is  -4x+1=3x-4.

Now, add 4x on both sides of the equation, and we get;

-4x+1+4x = 3x-4+4x

1 = 7x-4

Now, add 4 on both sides of the equation, and we get;

1+4 = 7x-4+4

5=7x

Now, x =5/7 = 0.714 ≅ 0.75

Hence, the equation for x by graphing -4x+1=3x-4 is x=0.75.

Therefore, Option A is the correct answer.

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To Find all the different ways the truck could be, you would mutiply all the choices together.

There were three different choices.

Multiply the two known ones together than divide the total different ways by that to find the third choice.

4 x 2 = 8

96 / 8 = 12

There are 12 colors available.

Answer:

There are 12 colors available

Step-by-step explanation:

We have product rule which states that if there are [tex]n_{1}[/tex] ways of doing one task, and [tex]n_{2}[/tex] ways of doing another task then there  [tex]n_{1}n_{2}[/tex] ways of doing the tasks together.

Let us assume that there are x choices for colors

so we have 4 ways of selecting engines , 2 ways of selecting transmissions and x ways of selecting colors

number of ways of truck could be equipped = [tex]4*2*x[/tex]

                                                                          = [tex]8x[/tex]

it is given that number of ways truck could be equipped= [tex]96[/tex]

so we have

[tex]8x= 96[/tex]

[tex]x=\frac{96}{8}[/tex] ( divide both side by 8)

[tex]x= 12[/tex]

There are 12 colors available

Answer:

67.2

Step-by-step explanation:

The easiest way to do this is by taking your original number 112, and multiply it by the percentage. The way to do that is

112 x .6

This gets you 67.2

Answer:

triangle AEH, triangle CFG, triangle BFG, and triangle DEG.

so b,c,e,f

this is right for e2020.

The right triangles that can be formed using a diagonal through the interior of the cube are A) Triangle CEG, B) Triangle AEH and C) Triangle CFG

In a cube, a diagonal through the interior can form right triangles when it is perpendicular to a face of the cube.

Based on this, the right triangles that can be formed are:

A) Triangle CEG (since CE is perpendicular to face CDEG)

B) Triangle AEH (since AE is perpendicular to face ABCD)

C) Triangle CFG (since CF is perpendicular to face ABCD)

D) Triangle BCH (since BC is perpendicular to face CDEG)

So, the correct options are A, B, C, and D.

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Answer:

y = 12

Step-by-step explanation:

Given the 2 equations

2x + 2 = y → (1)

2y = 5x - 1 → (2)

Substitute y = 2x + 2 into (2)

2(2x + 2) = 5x - 1

4x + 4 = 5x - 1 ( subtract 4x from both sides )

4 = x - 1 ( add 1 to both sides )

x = 5

Substitute x = 5 into (1) for corresponding value of y

y = (2 × 5) + 2 = 10 + 2 = 12

Answer:

y=12

Step-by-step explanation:

look this solution :