Please answer the question below

Answer:

[tex]4x + 42 = 3[/tex]

Step-by-step explanation:

Given:

[tex]\frac{2}{3}x + 7 = \frac{1}{2}[/tex]

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

[tex]2 = 2,4,6,8,10,..[/tex]

[tex]3 = 3,6,9,12..[/tex]

So, 6 is the least common multiple.

Multiply both sides by 6

[tex]6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6[/tex]

[tex]6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6[/tex]

[tex]\frac{12}{3}x + 42 = \frac{6}{2}[/tex]

[tex]4x + 42 = 3[/tex]

Hence, an equivalent expression.

Answer:

(a) 7 : 5

(b) 19 : 5

Hope this helps :)

Answer:

(a) 5:7 ( 5 new to 7 used). (B) 12:7   (12 books to 7 used ones). You are welcome :)

Step-by-step explanation:

Answer:

I don't have any favorites. There is a reason for this, i don't read a lot of books but when i do, i usually like a mashup of different types of text styles. I guess i do have a favorite of a mashup. When i do read i usually pick a book that has an argument between different characters, a type of fiction memoir? And autobiography.

This mashup usually leads up to Wonder which is one of my all-time favorites. But there is another one i like and it is Diary of a Wimpy Kid. The only thing about that one is that doesn't have the whole autobiography part.

I like these styles because most of the books that i read have either funny traits or intense traits which, i love both of them.

Step-by-step explanation:

Answer:

[tex]t = 4[/tex]

Step-by-step explanation:

Baxter Tree Service:

Per tree trimming charges = $42

Additional charges for removing the trimmings from the property = $75.50

Number of trees trimmed = [tex]t[/tex]

Total charges = Additional charges + cost of trimming [tex]t[/tex] trees

Total charges = $75.50 + $42[tex]t[/tex]

Barron and Son:

Per tree trimming charges = $37

Additional charges for removing the trimmings from the property = $95.50

Number of trees trimmed = [tex]t[/tex]

Total charges = Additional charges + cost of trimming [tex]t[/tex] trees

Total charges = $95.50 + $37[tex]t[/tex]

Now, the total charges need to be same and we have to find the value of [tex]t[/tex].

[tex]75.50+42t = 95.50+37t\\\Rightarrow 42t-37t=95.50-75.50\\\Rightarrow 5t=20\\\Rightarrow \bold{t =4}[/tex]

[tex]t = 4[/tex] number of trees must be trimmed.

Answer:

7 is the answer

Step-by-step explanation:

6 + 1 - 3 of a number = 11

1 - 3 = -2

6 - 2 = 4

so 4 + 7 is 11

Hope it helps!

Answer:

Step-by-step explanation:

Step one:

given data

let the total coins be x

we are given that 75% of x= 24

Step two:

Mathematically we have

75/100*x= 24

0.75x=24

divide both sides by 0.75

x=24/0.75

x=32coins

Hence the total coins is 32

Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.

Answer:

128

Step-by-step explanation

Turn 40% into a decimal by placing a decimal point 2 places to the left making it 0.40. Then, calculate using 320 multiplied by 0.40 which is 128.

Answer:

the answer is 128.

40% of 320 = 128 :)

Answer:

-3 ( D )

Step-by-step explanation:

Logarithm base 3 of 1/27 is -3.

Answer:

false

Step-by-step explanation:

I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.

I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.

Answer:

see explanation

Step-by-step explanation:

(a)

9n = [tex]\frac{15}{7}[/tex] - 2 ( multiply through by 7 to clear the fraction )

63n = 15 - 14 = 1 ( divide both sides by 63 )

n = [tex]\frac{1}{63}[/tex]

(b)

[tex]\frac{1}{3}[/tex] = k - 4 ( multiply through by 3 to clear the fraction )

1 = 3k - 12 ( add 12 to both sides )

13 = 3k ( divide both sides by 3 )

[tex]\frac{13}{3}[/tex] = k

(c)

g - [tex]\frac{2}{5}[/tex] g = 3 ( multiply through by 5 to clear the fraction )

5g - 2g = 15

3g = 15 ( divide both sides by 3 )

g = 5

(d)

[tex]\frac{3}{7}[/tex] w + 2w = 3 ( multiply through by 7 to clear the fraction )

3w + 14w = 21

17w = 21 ( divide both sides by 17 )

w = [tex]\frac{21}{17}[/tex]

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

∵ The width of the carpet is x inches

∵ The length of the carpet is 67 inches more than the width

∴ The length of the carpet is (x + 67) inches

∵ The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

∴ 2(length + width) = 194

→ Divide both sides by 2

∴ length + width = 97

→ Substitute the value of the length and width in the equation above

∵ x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

∴ 2x + 67 = 97

→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

∴ 2x = 30

→ Divide both sides by 2

∴ x = 15

∵ x represents the width of the carpet

∴ The width of the carpet is 15 inches

∵ The length of the carpet = 15 + 67

∴ The length of the carpet is 82 inches

∴ The dimensions of the carpet are 15 inches and 82 inches

Answer:

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

[tex](A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\[/tex]

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

[tex](A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)[/tex]

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

[tex]\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)[/tex]

As [tex]\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]

So, [tex]\frac{dy}{dx}>0[/tex]

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

[tex]\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)[/tex]

As [tex]\ln \left(\frac{2}{3}\right)=\ln(0.67)<0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]

So, [tex]\frac{dy}{dx}<0[/tex]

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C)  represents[tex]y=2\left(\frac{2}{3}\right)^x[/tex] the given graph.

Hence, option (C) is correct.

The equation [tex](C) y = 2(\dfrac{2}{3})^{x[/tex] could be the equation to represent the given graph is decreasing.

We have to determine, Which of the following equations could be the equation to represent the given graph.

According to the question,

The given options of the possible equation for the graph are as follows:

The given graph is decreasing and at x = 0, y = 2.

Then,

First checking the value of the given options for x = 0.

For x = 0, y = 2, so options (C) and (D) are not possible, so the options are rejected.

Therefore,

To check the nature (increasing or decreasing) of the given equation by differentiating it.

[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{3}{2})\\\\ln(\dfrac{3}{2}) = ln(1.5) >0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}>0\\\\[/tex]

Therefore, The function in option A  is increasing function.

For function c;

[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{2}{3})\\\\ln(\dfrac{3}{2}) = ln(0.67) <0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}<0\\\\[/tex]

Therefore, The function in option c is decreasing function.

The given graph is decreasing, so, the function c represents the given graph decreasing.

Hence, option (C) is correct.

To know more about the Graphs click the link given below.

https://brainly.com/question/16351335

Answer:

A

You  are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)

If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer

D is the same like B

Choice C is just the whole of x-y plane  so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2

Answer:

16

Step-by-step explanation:

x=16 because the Sides length and the degrees of the angle colide and show that x=16

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

Answer:

375 paying customers

Step-by-step explanation:

First you need to find how much the fee was increased from $5.00 to $7.50

7.5 - 5 = 2.5

Then how many times the pay increase goes into that number to find your X value

2.5/.5 = 5

Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1

500 - 25(1) = 475

500 - 25(2) = 450

500 - 25(3) = 425

500 - 25(4) = 400

500 - 25 (5) = 375

Answer:

375

Step-by-step explanation:

Answer:

Thus the surface area of this cylinder involving pie is:

[tex]A=750\pi[/tex] ft²

or

[tex]A\approx 2356.19[/tex] ft²

Step-by-step explanation:

Given

radius = r = 10 ft

height = h = 15 ft

The surface area of a cylinder formula is:

[tex]A=2\pi rh+2\pi r^2[/tex]

substituting the value = r = 10 ft and h = 15 ft

[tex]\:A=\left(2\times \:\pi \:\times \:15\times 10\right)+\left(2\times \pi \:\times \:15^2\right)\:[/tex]

[tex]A=750\pi[/tex] ft²

Thus the surface area of this cylinder involving pie is:

[tex]A=750\pi[/tex] ft²

or

[tex]A\approx 2356.19[/tex] ft²

Step-by-step explanation:

You're sure?

But I thought that for calculating distance

Answer:

Yes it is a function if the jersey numbers are the same as their age and they are all different ages.

Step-by-step explanation:

Answer:

5 hot dogs packs at least and 4 buns packs at least

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.

Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6

7/16

Steps:

[tex]\frac{1}{2} /\frac{8}{7} =\frac{1}{2} *\frac{7}{8} =\frac{7}{16}[/tex]

Answer:

10

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

Answer:

10 meters

Step-by-step explanation:

You can count each unit since each unit equals 1 meter

Answer:

About 50% percent

Step-by-step explanation:

20 is 50 percent of 40, so 21 is about 50 percent (52.5 %)

~theLocoCoco

Answer:

52.5%

Step-by-step explanation:

21/40 = 52.5/100

52.5/100= 52.5%

im not sure but you can try :<

Answer:

the length of each piece is 4.8 feet

Step-by-step explanation:

Answer:

Inequality: [tex]\frac{x}{2} \leq 3[/tex]

Solved: [tex]x\leq 6[/tex]

Step-by-step explanation:

[tex]\frac{x}{2} \leq 3[/tex]

[tex]x\leq 6[/tex]