A landowner has some land on which he wants to plant trees. He can plant 1,357 trees on landl if he already has 1,289 trees. How many does he have left to purchase?

Answer:

(i) 30

(ii) 8

Step-by-step explanation:

Start by drawing 3 rings for the Venn diagram.  Each ring represents either Audi, BMW, or Citroën.

Next, add the information provided in the problem statement.  We know that 20 choose BMW only.  Another 20 choose Citroën only.

We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi.  We'll call this number x.

Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën.  So we'll say that number is 2x.

We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.

Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).

We know that BMW got 36 votes, so:

20 + x + x + 2x = 36

20 + 4x = 36

4x = 16

x = 4

We know that Citroën got 34 votes, so:

20 + x + x + z = 34

20 + 4 + 4 + z = 34

28 + z = 34

z = 6

We know that Audi got 48 votes:

y + 2x + x + z = 48

y + 2(4) + 4 + 6 = 48

y + 18 = 48

y = 30

Finally, we know that the total number of voters is 100.

20 + 20 + x + x + 2x + y + z + n = 100

20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100

92 + n = 100

n = 8

Answer:

v=w/y

Step-by-step explanation:

If w=y+v, and solving for v, then simply just divide both sides by y, and you get v=w/y.

actually it will be easier for you to know it if you convert it into decimal.

So

James = 4/5 = 0.8

Eric = 7/9 = 0.78

So James ate more

Answer:

James ate more of his banana

Step-by-step explanation:  You would convert the fractions into the same denominator.  And then  you can compare.

36/45   35/45

Answer:

zx - 100y = 0

Step-by-step explanation:

Since, x% of z is equal to y

[tex] \therefore \: \frac{x}{100} \times z = y \\ \therefore \: \frac{xz}{100} = y \\ \therefore \: zx = 100y \\ \therefore \: zx - 100y = 0[/tex]

The literal equation that represents x% of z is equal to y will be xz = 100y.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

x% of z is equal to y.

Then the literal equation that represents x% of z is equal to y will be given as,

x% of z = y

xz / 100 = y

xz = 100y

The literal equation that represents x% of z is equal to y will be xz = 100y.

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Answer:

13 feet 9 inches

Step-by-step explanation:

11ft+2ft=13

6in+3in=9in

Answer:

x = 62 words

Explanation:

→ We write the data problems.

372 words .............6 minutes

→ We must find: What's Cynthia typing rate in words per minute?

372 words .............6 minutes

x words ..................1 minute

x = 372 words * 1 minute/ 6 minutes

x = 62 words

Answer:

(0, - 23 )

Step-by-step explanation:

Find the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 72, 25) and (x₂, y₂ ) = (- 36, 1) ← 2 ordered pairs from the table

m = [tex]\frac{1-25}{-36+72}[/tex] = [tex]\frac{-24}{36}[/tex] = - [tex]\frac{2}{3}[/tex] , thus

y = - [tex]\frac{2}{3}[/tex] + c

To find c substitute any ordered pair into the equation

Using (- 54, 13 ) , then

13 = 36 + c ⇒ c = 13 - 36 = - 23 ← y- intercept

Thus coordinates of y- intercept = (0, - 23 )

The area of a 2D form is the amount of space within its perimeter. The measure of the side of the canvas is closest to 9 inches. The correct option is B.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Therefore, the area of the canvas will be equal to the area of the fabric. Thus, we can write,

Area of the canvas = Area of the fabric

Since the area is square, therefore,

Area of the canvas = Area of the fabric

Area of the canvas = 77.8 in.²

Side of the canvas = √(77.8 in.²)

Side of the canvas = 8.82 inches ≈ 9 inches

Hence, the measure of the side of the canvas is closest to 9 inches.

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Answer:

I think it would be: -10u - 6x 12

Step-by-step explanation:

(step 1) -2(5u - 3x-6) "First you need to times -2 by 5, 3 and -6"

that should give you -10u - 6x 12

Answer:

d

Step-by-step explanation:

The speed is the independent variable because when it changes all the others change because it changed

The correct option is D. speed.

Given, As a person increases cycling speed, the rate of calorie burned, distance traveled, and energy also increase.

We have to find the Independent variable.

Since, Calories burned, distance traveled and Energy generated all are dependent on the speed of cycling. As the speed increases calories burned will be more.So speed is the independent variable here and the other variables all are dependent variable.

Hence the correct option is D. speed.

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Answer:

Step-by-step explanation:

[tex]Midpoint = (\frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} )\\[/tex]

6.

[tex](5.8) =(x_1,y_1)\\(-1,-4) =(x_2,y_2)\\\\Midpoint =\left(\frac{-1+5}{2},\:\frac{-4+8}{2}\right)\\\\Midpoint =( \frac{4}{2} , \frac{4}{2} )\\\\Midpoint = ( 2 , 2)[/tex]

8.

[tex](-3 ,-7) =(x_1 ,y_1)\\(3,-5)=(x_2,y_2)\\\\\left(\frac{3-3}{2},\:\frac{-5-7}{2}\right)\\ \\Midpoint = (\frac{0}{2} , \frac{-12}{2} )\\\\Midpoint = ( 0, -6)[/tex]

10.

[tex]L(-9 ,4) =(x_1 ,y_1)\\K(2 , -1 ) = (x ,y )\\M(x_2 ,y_2 )=?\\ \\x = \frac{x_2+x_1}{2}\\ 2 = \frac{x_2 +(-9)}{2}\\ 2 = \frac{x_2-9}{2}\\ Cross\:Multiply\\\\4 =x_2-9\\4+9=x_2\\13 =x_2\\\\y = \frac{y_2+y_1}{2}\\ -1 = \frac{y_2 +4}{2} \\-1 \times 2= y_2+4\\-2 =y_2+4\\-2-4 =y_2\\-6 =y_2\\\\(x_2 ,y_2) = (13 , -6)\\[/tex]

Answer:

length: 12m

width: 2m

Step-by-step explanation:

24 = a*w

a = w+10

then:

24 = (w+10)w

24 = w*w + 10*w

24 = w² + 10w

0 = w² + 10 - 24

w = {-10±√((10²)-(4*1*-24))} / (2*1)

w = {-10±√(100+96)} / 2

w = {-10±√196} / 2

w = {-10±14} / 2

only positive numbers:

w = {-10+14}/2

w = 4/2

w = 2m

a = w+10

a = 2 + 10

a = 12m

Check:

24 = 12*2

Answer: the arc elasticity percentage change from 80 to 100 is 22%

Step-by-step explanation:

formula for arc-elasticity percentage change is given as;

{ [Xₙ - X₀]  / [ (X₀+Xₙ) / 2] } × 100

X₀ is old value, Xₙis new value

Now from our question

old value X₀ = 80

new value Xₙ = 100

WE SUBSTITUTE

Arc-Elasticity = { [100 - 80]  / [ (80+100) / 2] } × 100

Arc-Elasticity = { [20]  / [ 180 / 2] } × 100

Arc-Elasticity = (20/90)  × 100

Arc-Elasticity = 22.22 ≈ 22%

Therefore the arc elasticity percentage change from 80 to 100 is 22%

In this exercise we have to use the percentage knowledge, in order to calculate the arc elasticity, so:

the arc elasticity percentage is 22%

First, we have that the formula for the elastic arc is:

[tex]([X_n - X_0] / [ (X_0+X_n) / 2] } * 100[/tex]

Informed the exercise data as:

Substituting the values ​​in the formula given above, we find that:

[tex]Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } * 100\\Arc-Elasticity = { [20] / [ 180 / 2] } * 100\\Arc-Elasticity = (20/90) *100\\Arc-Elasticity = 22%[/tex]

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Answer:

(7,-11)

Step-by-step explanation:

We are given the rule of: [tex](x,y)\rightarrow(x+3,y-2)[/tex].

Apply the rule to point P:

[tex](4,-9)\rightarrow(4+3,-9-2)\rightarrow\boxed{(7,-11)}[/tex]

P' should be (7,-11).

Hope this helps.

Answer:

33°

Step-by-step explanation:

We were given that:

1- The angles of a triangle add up to 180 degrees

2- The second angle is 15 degrees larger than the smallest angle

3- The third angle is 3 times as big as the smallest angle

So, first of all, let's call the smallest angle x.

the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle

and the third will be 3x, since it is 3 times bigger than the smallest angle.

With the information we have, we can form an equation!

180° = x + (x+ 15°) + 3x

180° = 5x + 15°

180° - 15° = 5x + 15° - 15°

165° = 5x

165°/5 = 5x/5

33° = x

therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.

99° + 33° + 48° = 180°

so it is safe to say this answer is correct!

If the angles of a triangle add up to 180 degrees. The second angle is 15 degrees larger than the smallest angle. The third angle is 3 times as big as the smallest angle then 35 degree is the measure of the smallest angle.

The sum of three angles is 180 degrees

Let the smallest angle be x

The second angle is 15 degrees  larger than the smallest angle.

The third angle is 3 times as big as the smallest angle.

We need to find smallest angle.

The sum of three angles of a triangle is 180 degrees

Let the smallest angle be x

The second angle is 15 degrees  larger than the smallest angle.

The third angle is 3 times as big as the smallest angle.

We need to find smallest angle x=?

x+(x+15)+3x=180

2x+15+3x=180

5x+15=180

5x=165

Divide both sides by 5.

x=35

Therefore the smallest angle is 35 degree.

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Answer:97.54

Step-by-step explanation:

Answer:

97.54

Step-by-step explanation:

  1 1

63.55

 31.99

+  2.00

________

97.54

Answer:

See attached image

Step-by-step explanation:

We can easily graph the equation if we know it’s y and x intercepts. We can plot these points on a coordinate plane then connect them using a ruler, then extend these further.

Mathematically, we can find the slope which is rise over run. Every time x increases by 5, y increases by 6. This means the slope is [tex]\frac{6}{5}[/tex]. We also know the y-intercept is -6, so the equation is [tex]y=\frac{6}{5}x - 6[/tex].

Hope this helped!

Answer:

9x

Step-by-step explanation:

6x + 3x

6 + 3 = 9

add the x and you get 9x

i hope this helps

Answer:

6x + 3x = 9x

Step-by-step explanation:

6 and 3 have the same coefficient meaning you can combine them and add them to get 9x.

Answer:

$331

Step-by-step explanation:

$12.25 per hour

27 hours

$12.25 • 27 = $330.75

An additive inverse of a number (x) is a number which when added to x results in being 0.

The given problem is -3 - (-6)

The additive inverse of -6 is 6

-3 -(-6) = -3 + 6 = 3

Communities property: 6-3 = 3

The answer is:

Because -3+6 is an equivalent expression, the answer is 3

Hey There!!~

Answer: 42

Because, 55 + 72 = 127. After you should do 3 ÷ 127. The divisor (3) goes into the first digit of the dividend (1), 0 times. Therefore, put 0 on top. Then you should Multiply the divisor by the result in the previous step (3 × 0 = 0) and write that answer below the dividend. After that Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.  Move down the 2nd digit of the dividend in the below. The divisor (3) goes into the bottom number (12), 4 time(s). Therefore, put 4 on top... Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom. Move down the last digit of the dividend in the below. The divisor (3) goes into the bottom number (7), 2 time(s). Therefore put 2 on top, Multiply the divisor by the result in the previous step (3 x 2 = 6) and write the answer at the bottom... Subtract the result in the previous step from the number written above it. (7 - 6 = 1) and write the answer at the bottom.  The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 127 divided by 3 calculated using Long Division is

Answer: 42 and Remainder 1.

Hope This Helps!!~

[tex]Itsbrazts[/tex]

Hey There!! ~

The answer to this is: 79. Because, First you need to add fiifty five and seventy two which that will be 127 Then, Add fifity five and seventy two Plus, Divide three Then. you should get the answer 79.

Hope It Helps!~                                                                                          [tex]ItsNobody[/tex]~  

Answer:

E

Step-by-step explanation:

Let's let c denote the amount of cashews and let's let p denote the amount of peanuts.

So, the owner wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound.

In other words, the total pounds as an equation is:

[tex]c+p=0.5[/tex]

Also, the price would be:

[tex]5.5c+2.3p=(p+c)2.8[/tex]

Since we mixed the peanuts and cashews, our sum would be 2.8(p+c).

And we already determined that p+c is 0.5. Thus, substitute:

[tex]5.5c+2.3p=(0.5)(2.8)[/tex]

Simplify:

[tex]5.5c+2.3p=1.4[/tex]

Now, we can solve the system of equations. Isolate a variable from the very first equation:

[tex]c+p=0.5[/tex]

Subtract p from both sides:

[tex]c=0.5-p[/tex]

Now, substitute this into the equation earlier:

[tex]5.5c+2.3p=1.4\\5.5(0.5-p)+2.3p=1.4[/tex]

Distribute:

[tex]2.75-5.5p+2.3p=1.4[/tex]

Combine like terms:

[tex]2.75-3.2p=1.4[/tex]

Subtract both sides by 2.75:

[tex]-3.2p=-1.35[/tex]

Divide everything by -3.2:

[tex]p=0.412875[/tex]

Now, find c:

[tex]p+c=.5[/tex]

Substitute:

[tex]c+0.421875=.5[/tex]

Subtract:

[tex]c=0.078125[/tex]

Thus, the owner would need 0.08 pounds of cashews and 0.42 pounds of peanuts.

Our answer is E.

Answer:

Step-by-step explanation:Let Ali's number of sweets be x

so let Steve's number of sweet be x + 30

hence the equation is x/(x  + 30)= 2/7

or, 7x = 2(x + 30)

or, 7x= 2x +60

or,7x-2x=60

or, 5x=60

or, x=60/5

or, x=12

Alif gets 12 sweets

x+30

or, 12+30

=42

Ans:Steve gets 42 sweets.

Answer:

n = 19/5

Step-by-step explanation:

2(n - 5) represents "twice the difference of a number n and 5" and is equal to 9:

2(n - 5) = 9.

Performing the multiplication:

2n - 10 = 9, and so

2n = 19, or n = 19/5

Answer:28 hope this helps

Step-by-step explanation:

Answer:  -1≥ x > 7    or x>7  and x ≤ -1

Step-by-step explanation:

-6x + 14 < -28      

           -14  -14

-6x < -42

  x> 7        

AND

3x + 28 ≤ 25

      -28   -28

3x ≤ -3

x ≤ -1

x>7 and x≤ -1    

Answer

x>7 and x<-1

Step-by-step explanation:

1a.) -6x+14<-28

2a.) subtract 14 from 14 and -28 (what you do to one you do to other)

3a.) you are left with -6x<-42

4a.) divide by -6 eache side of "<"

5a.) you HAVE to flip the sign when you divide by a negative

6a.) x>7

1b.) 3x+28<25

2b.) subtract 28 from 28 and 25 (what you do to one you do to other)

3b.) 3x<-3

4b.) divide both sides by 3

5b.) x<-1

Answer:

-5.5 and 0.4 (first option in your list)

Step-by-step explanation:

Please see attached image where we have graphed the expression [tex]y=6x^2+31x\\[/tex]  and the expression [tex]y=12[/tex]  and looked for the two points of intersection of the parabola (representing the first expression) with the horizontal line (second expression)

From the graphing we extract that one solution for "x" is approximately -5.5, and the other one around 0.36, which can be rounded to one decimal to: 0.4. then the closest solution is that one shown as the first option in your list.

Answer:

x = 151

Step-by-step explanation:

In the figure given, x is an exterior angle of the ∆.

According to the exterior angle theorem, x = the sum of the two opposite interior angles of the ∆.

One of the opposite angles measures 101°, while the second opposite angle equal 50°, since line l is parallel to m, alternate interior angles are equal.

Therefore, x = 101 + 50 = 151°