Find the height of the tree in the diagram shown.

Answer:

The constant of proportionality is 3.50.

Step-by-step explanation:

We know that when y directly varies with x, such that

[tex]y=kx[/tex]

The number 'k' is called the constant of proportionality.

Given the equation

[tex]y=3.50x[/tex]

as

[tex]y=kx[/tex]

so

[tex]k=3.50[/tex]           ∵ [tex]y=kx[/tex]

Here the value of k = 3.50, which is the constant of proportionality.

Therefore, the constant of proportionality is 3.50.

The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.

A unit rate means a rate for one of something.

Given that a pickup truck travels 45 miles on 2[tex]\frac{1}{3}[/tex] gallons of gas,

Since there are 45 miles in 7/3 gallons

So, 45*3/7 in one gallon = 19[tex]\frac{2}{7}[/tex] Miles in one gallon

Hence, The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.

For more references on unit rate, click;

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Answer:

x= -3 and y = 6

Step-by-step explanation:

so basically what you are trying to do is reduce into finding x and y

what you do is you want to find a number to multiply one of the equations in order to get the same x or y value does not matter which

so,...

we can do

either 20x or 15y

we will go with the smallest 15y

so for both equations multiply the whole thing by 5 for the first equation and by 3 for the second

5 x 5x+3y=3 --> 1

3 x 4x+5y=18 --> 2

we then get

25x+15y = 15 -->1

12x + 15y = 54 -->2

then now that you have the same Y values you can subtract ! which cancels out both the 15y

25x+15y = 15 -->1

- 12x + 15y = 54 -->2

13x =-39

so now x=-3 and all you have to do with x = -3 is sub this into either one of the equations that you started with  !

x = -3

5(-3) +3y =3

-15 + 3y = 3

3y = 3+15

3y=18

y = 6!

Answer:

Step-by-step explanation:

2x² - [tex]\frac{1}{2}[/tex] x

x + 2

2x²

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

Answer:

c.

Step-by-step explanation:

$4 a ticket

12÷3=4

I hope this was helpful

Answer:

1782 cm³

Step-by-step explanation:

First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.

Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³

Answer:

26

Step-by-step explanation:

Given that:

Target amount for NYC trip = $1000

Cost of T - shirt = $9 each

Logo printing fee = $30

Number of T - shirts = x

Number of T - shirts to be sold in other to reach their goal :

[(Cost of logo + Cost of T shirt) * number of shirts sold] ≥ target amount

[($30 + $9) * x] ≥ $1000

$39x ≥ 1000

x ≥ 1000/ 39

x ≥ 25.64

Hence, they have to sell at least 26 t shirts with logo printed to raise $1000

Answer:

The amount charged for a hamburger is $11

Step-by-step explanation:

The function relating the amount d charged with the number of hamburgers is;

d = 3h + 8

The amount charged for a hamburger can be calculated by substituting the value 1 for h

Thus, we have;

d = 3(1) + 8 = $11

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is [tex]Y=\dfrac12 X-6[/tex].

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =[tex]\dfrac12[/tex]

Let slope of LG be n, then

[tex]n\times \dfrac{1}{2}=-1[/tex] [Product of slopes of two perpendicular line =-1]

[tex]\Rightarrow n=-2[/tex]

Equation of a line passes through (a,b) and have slope m is given by :-

[tex](y-b)=m(x-a)[/tex]

Equation of LG :

[tex](y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9[/tex] [In intercept form]

Answer:4.064 times

Step-by-step explanation:

Step 1

Area  of  Land owned by John =2.17 x 104 square miles

Area  of  Land owned by Sam= 5.34 x 103 square miles.

When we say about how many times is a quantity greeter than the other we mean that  how much is the smaller quantity contained in the larger quantity. and in such cases, we divide.

Area  of  Land owned by John/Area  of  Land owned by Sam

=2.17 x 104 square miles/ 5.34 x 103 square miles

=21,700 square miles /5,340 square miles

=4.064 times

Therefore  we say that John's owns an area of land  by 4.064 times Sam's land.

Answer:

15 days

Step-by-step explanation:

Answer:

27 days

Step-by-step explanation:

Answer:

y = -6x +13

Step-by-step explanation:

slope = rise over run

-12 rise for 2 run

slope = -6

y intercept = 13

Answer:

$4.82

Step-by-step explanation:

Given that:

The total cost of the fruit is $16.87

And Norman purchased 3.5 lb of his favorite mixture of dried fruits.

The cost of the fruit per pound can be calculated by dividing the total cost of fruit by the total amount of pounds of fruit purchased.

i.e.

The cost of the fruit per pound = $16.87/3.5

The cost of the fruit per pound = $4.82

Answer

A.y-6=-5/4(x+2)

D.y-1=-5/4(x-2)

E.y-3.5=-1.25x

Step-by-step explanation:

The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50

The data given :

X ____ Y

-2 ____ 6

0 ____ 3.5

2 ____ 1

4 ____ - 1.5

We could represent the equation in the form :

b = slope = Rise / Run

b = slope = Rise / Run c = intercept

From the table :

Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25

Using any pair of (x, y) values, we can obtain the intercept value :

Using ; (2, 1)

1 = -1.25(2) + c

1 = - 2.50 + c

1 + 2.50 = c

c = 3.50

Therefore, the equation becomes ; y = - 1.25x + 3.50

Learn more :https://brainly.com/question/18405415

Answer:

1=87°

2=93°

Step-by-step explanation:

angle 1 is the alternate interior angle of 87

angle 1 and angle 2 are supplementary angles

180-87=93

hopefully this helps :)

Answer:

7/6

Step-by-step explanation:

There is 7 total bars and only 6 are shaded, therfore your answer would be 7/6. :)

Answer:

6/7

Step-by-step explanation:

6 out of the 7 areas are shaded.

Have a good day!

Answer:

y=-5x+2

Step-by-step explanation:

y-y=m(x-x¹)

y-2=-5(x-0)

y-2=-5x+0

+2 +2

y=-5x+2

Answer:

y = -5x + 2

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

the answer is d cause you can get it later if you know what I mean

Jane will save more than Mariah.

Answer:

a= 38.85

Step-by-step explanation:

Answer:

[tex]\boxed {a = 38.85}[/tex]

Step-by-step explanation:

Solve for the value of [tex]a[/tex]:

[tex]\frac{a}{3.5} - 4.8 = 6.3[/tex]

-Add both sides by [tex]4.8[/tex]:

[tex]\frac{a}{3.5} - 4.8 + 4.8 = 6.3 + 4.8[/tex]

[tex]\frac{a}{3.5} = 11.1[/tex]

-Multiply both sides by [tex]3.5[/tex]:

[tex]a = 11.1 \times 3.5[/tex]

[tex]\boxed {a = 38.85}[/tex]

Therefore, the value of [tex]a[/tex] is [tex]38.85[/tex].

Answer:

f = 2

Step-by-step explanation:

Hope this helps you! :3

Answer:

f = 2

Step-by-step explanation:

2+1.25f = 10 - 2.75f

Add 2.75f to both sides

2 + 4f = 10

Subtract 2 on both sides

4f = 8

Divide by 4 on both sides to isolate the variable f

f = 8/4

f = 2

Answer:

4 snacks

Step-by-step explanation:

44 from the overall date - 25 from the movie = 19 dollars. 19 divided by four is 4.75. I'm not sure if this is a real question and you can have a decimal of a snack but you can just write approximately four snacks.

Answer:

14 per minute

Step-by-step explanation:

42 / 3

Answer:

12

Step-by-step explanation:

Since they traveled in opposite directions, we would add the 2 numbers!

8+4=12.

Answer:

0.04

Step-by-step explanation:

set up a proportion!

sorry if its sloppy, i did this on my laptop :/

Answer:

.48 cents for 1 oz

Step-by-step explanation:

You first take the 2.99 and divide by 62 to get your amount for 1 oz

Answer:

53 lines

Step-by-step explanation:

You would divide 583 by 11, and that would get you your final answer of 53 lines.

Answer:

53 lines

Step-by-step explanation:

11 words → 1 line

583 words → (1/11 x 583) lines = 53 lines

Answer:

thxss for the points love

Step-by-step explanation:

kisses

Answer:

16

Step-by-step explanation: