Chris is trimming trees. He can trim 2/3 of a tree in 30 minutes. What is Chris’s rate for trimming trees in trees per hour?

Answer:

2/3

Step-by-step explanation:

140/(140+70)

=140/210

simplified

=2/3

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]

The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\green{x=12° }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ 95° + (3[tex]x[/tex] +4)° + (4[tex]x[/tex] - 3)° = 180°

➪ 3[tex]x[/tex] + 4[tex]x[/tex] + 95° + 4° -3° = 180°

➪ 7[tex]x[/tex] + 96° = 180°

➪ 7[tex]x[/tex] = 180° - 96°

➪ 7[tex]x[/tex] = 84°

➪ [tex]x[/tex] = [tex]\frac{84°}{7}[/tex]

➪ [tex]x[/tex] = 12°

Therefore, the value of [tex]x[/tex] is 12°.

Now, the three angles of the triangle are 95°, 40° and 45° respectively.

[tex]\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}[/tex]

✒ 95° + 40° + 45° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

Answer:

1) -0.669

2) -0.669

3) 0.669

Step-by-step explanation:

Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.

Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.

Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.

If theta=70:

1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.

2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.

3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.

Answer:

Zukile has 105, Adam has 45, Siya has 90

Step-by-step explanation:

Not sure how right this is, but I did: 240=2x+x+(60+x)

Simplify to: 240=60+4x

Simplify to: 180=4x

Simplify to: 45=x

Answer:

y=7x

Step-by-step explanation:

because y= 4x+3=7x

Answer:

Step-by-step explanation:

This is a geometric means problem involving the height of 9. 9 is the geometric mean because it is the height of both ΔCFD and ΔEFD. Set up the problem accordingly:

[tex]\frac{5}{9}=\frac{9}{2x+3}[/tex] and cross multiply:

81 = 5(2x + 3) and

81 = 10x + 15 and

66 = 10x so

x = 6.6

Now we will plug that value in for x to find the length of DE:

2(6.6) + 3 = 16.2 units

Answer:

7.75

Step-by-step explanation:

(I'm assuming you need to find the missing side of the triangle)

To find missing values in a right angle. we will use the pythagoras theorem which states that:

h^2 = a^2 + b^2

16^2 = 14^2 + b^2

256 = 196 + b^2

256 - 196 = b^2

60 = b^2 (take sqaure root)

b= 7.75

Answer from Gauthmath

Answer:

Please find the complete question in the attached file.  

Step-by-step explanation:

All three functions are defined as follows:

For function 1:

The module on the absolute value function instance example also is known as this function:

[tex]f(x)=|x| \ \left \{ {{x, \ \ x>0} \atop {-x \ \ <0}} \right.[/tex]

This is [tex]f(x)= x, \ \ x<0[/tex] in the following diagram.

For function 2:

It is an algebraic function of in this function

It also is a quadratic polynomial functional with a [tex]y=x^2, \ \ x>0[/tex] value.

For function 3:

The cubic polynomial equation is evaluated for in this function

The value of the graph is:

[tex]y=-x^3 \ \ \ \ and\\\\\to y= f(x)\\\\\to y= -f(x)\\\\[/tex]

9514 1404 393

Answer:

  (–3, 0) and (1,0)

Step-by-step explanation:

The x-intercepts are where the curve crosses the x-axis. Your problem statement tells you ...

  "crosses the x-axis at (negative 3, 0) and (1, 0)"

This means the x-intercepts are (-3, 0) and (1, 0).

Answer:

The answer would be B= (–3, 0) and (1,0)

Answer:

25

Step-by-step explanation:

8b^2 +2a(4c-b)

Let a = 1/4 b=2 c= -3

8 ( 2)^2 +2(1/4) ( 4*-3 -2)

Parentheses first

8 ( 2)^2 +2(1/4) ( -12 -2)

8 ( 2)^2 +2(1/4) ( -14)

Then exponents

8 ( 4) +2(1/4) ( -14)

Then multiply

32 -7

Subtract

25

Answer:

5 meters traveled in distance.

Step-by-step explanation:

Since we are finding the distance of a frog traveling ? distance in 25 mins, we can substitute t for 25. If we do, 0.2 x 25 = 5, d = 5.

Hope this helps!

Answer:

12

Step-by-step explanation:

Rectangle : Let length = b & width = a

PQ = QR = 6

LR = QR - PL = 6 - a

ΔPQR ~ ΔMLR

In similar triangles, corresponding sides are in same ratio.

[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]

[tex]1 =\frac{a}{6-b}[/tex]

6 - b = a

6 = a + b

a +b = 6

Perimeter of rectangle = 2*(length +width}

       = 2*(a+ b)

       = 2 * 6

       = 12  

Answer:

Dado que un obrero manufactura cajas rectangulares de distintos tamaños, y la longitud de cualquier caja debe ser superior a su ancho en al menos 3 cm, y el perímetro no puede ser superior a los 24 cm, para determinar cuáles son las medidas posibles de una caja se debe realizar el siguiente cálculo:

X + X + 6 = 24

2X = 18

X = 9

Por lo tanto, la caja puede tener 4.5 centímetros de ancho por 7.5 de largo, o bien ir aumentando su longitud en desmedro de su anchura.

Answer:

E

Step-by-step explanation:

I believe it should be E because it uses parallel lines

Step-by-step explanation:

For the 1st picture,

The 2nd option is the answer.

Let say we have

[tex] a_{3}[/tex]

Replace it into the recursive formula.

[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]

We are given a,1 and a,2 so the 3rd terms has to be

[tex]2[/tex]

So the second option is the answer.

For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.

Infinite means going on forever

The fourth option is the answer.

Answer:

1,1,2,3,5

part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...

the "difference" is definitely not the same, so three is out..

4 is the closest, but the ratio is not the same, there is a trend in the ratio..

this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational

Step-by-step explanation:

Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6  or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4   or x+4-4 < -6-4

x>2 or x<-10

Answer:

B

Step-by-step explanation:

r=3 in

h=8 in

Volume of funnel

[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]

Answer:

5.02 is right

Step-by-step explanation:

i hope this helps

Answer:  Choice B)  [tex]\frac{y}{x} = \frac{2}{3}[/tex]

This is the same as saying  y/x = 2/3

Or I suppose you could say "y over x = two-thirds".

===============================================

Explanation:

Recall that slope is rise over run

slope = rise/run

The rise being the change in y, while the run is the change in x.

So we could informally think of it as slope = y/x

-----------

Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.

The slope is both y/x and also 2/3.

Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.

-----------

Side notes:

Answer:

B

Step-by-step explanation:

(-_-)

Answer:

The proportion of 1s received at the end of the channel is of 0.598.

Step-by-step explanation:

In this question:

60% of the bits sent are 1, 100 - 60 = 40% of the bits sent are 0.

For each bit receive, 0.01 probability of an error, so 0.99 probability it is correct.

a. What is the proportion of 1s received at the end of the channel?

99% of 60%(sent 1s, received 1).

1% of 40%(sent 0s, received 1). So

[tex]p = 0.99*0.6 + 0.01*0.4 = 0.598[/tex]

The proportion of 1s received at the end of the channel is of 0.598.

Answer:

2x

Step-by-step explanation:

Given

6x and 8xy

The highest common factor of 6 and 8 is 2

The highest common factor of x and xy is x

Then

The highest common factor of 6x and 8xy is 2x

Answer:

Step-by-step explanation:

A rational number can be written as a fraction of two integers.

√23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction.

104.42 is rational because it can be expressed as 10442/100 . We can express it as this because

104.42 * 1 = 104.42 * 100/100 = 10442/100, and multiplying something by 1 keeps it the same

√64 is rational because it is equal to 8, and 8/1 is equal to 8

49.396 with the 6 repeating is rational because we can express 49.39 as

49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with

49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.

For example, 0.6 with the 6 repeating can be represented as 6/9. This is because 0.6 * 10 = 6, and we divide that by 9. Similarly, 0.006 with the 6 repeating can be represented by 0.06/9

We add the two fractions together to get

4939/100 + 0.06/9

multiply both fractions by the other's denominator to even them out and make the numerator of the second fraction an integer

(4939*9)/(100*9) + (0.06*100)/(9*100)

= 44451/900 + 6/900

= 44460/900

Assuming that the last number has only the digits given, that is rational because, similarly to 104.42, it can be multiplied by a power of 10 to result in (integer)/(integer), making it rational. If the dots represent infinite digits, then it is not rational because there are infinite digits that are not repeating, and there is no way to know the last digit, so it is impossible to write a fraction from it

Answer: We know that for any circle with radius r the formula for the area and circumference of the circle is given as: Area of circle=πr². ... Hence, to describe the relationship between the area of a circle and its circumference. The Area of circle is 1/2 times the radius times the circumference.

Step-by-step explanation:

Answer:

The quantity of loaves left in the bag is 3/4.

Step-by-step explanation:

Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?

Quantity of loaves in tray is 1/4

So, the quantity of loaves in the bag is

[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

Step-by-step explanation:

6+3b=6+3(7)=6+21=27

Very easy

<(￣︶￣)><(￣︶￣)><(￣︶￣)><(￣︶￣)>

Answer:

Sale price of first Mover = $ 152.1.

Sale price of second mover = $ 70

Mowers - R - Us store is economical place.

Step-by-step explanation:

Cost of first Mover = $ 169 and discount is 10%

Cost of second Mover = $ 210 and the sale is 1/3.

So, the effective cost of first Mover = $ 169 - 10 % of $ 169 = $ 169 - $ 16.9

= $152.1

So the effective cost of second Mover = 1/3 of $ 210 = $ 70

So, the second store is the economical place.