if sam has 20 watermelons and he eats 14 how many does he have left?

Given:

The vertices of a triangle are D(1,5), O(7,-1) and G(3,-1).

To find:

The perpendicular bisector of line segment DO.

Solution:

Midpoint formula:

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

The midpoint of DO is:

[tex]Midpoint=\left(\dfrac{1+7}{2},\dfrac{5+(-1)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(4,2\right)[/tex]

Therefore, the midpoint of DO is (4,2).

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Slope of DO is:

[tex]m=\dfrac{-1-5}{7-1}[/tex]

[tex]m=\dfrac{-6}{6}[/tex]

[tex]m=-1[/tex]

Therefore, the slope of DO is -1.

We know that the product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]m_1\times (-1)=-1[/tex]

[tex]m_1=1[/tex]

The slope of perpendicular bisector is 1 and it passes through the point (4,2). So, the equation of the perpendicular bisector of DO is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-2=1(x-4)[/tex]

[tex]y-2+2=x-4+2[/tex]

[tex]y=x-2[/tex]

Therefore, the equation of the perpendicular bisector of DO is [tex]y=x-2[/tex].

Answer:

x²-9x-1

Step-by-step explanation:

move the -x² in front and get -x²+9x+1

then multiply the whole equation by -1 and get x²-9x-1

I THINK OKAY PLEASE DONE BE MAD

Answer:

36 inches = 0.000568182 miles

Answer:

V = 133 cm³

Step-by-step explanation:

The formula for the volume of a cone is V = (πr²h) / 3, which is just the formula for the volume of a cylinder but divided by 3, by the way.

If the diameter is 6, divide that by 2 to get a radius of 3 cm. The height and pi are already given.

V = ((3.14)(3)²(12)) / 3

V = (339.12) / 3

V = 113.04 cm³, or if rounded, it should just be 133 cm³

Answer:

113.0

Step-by-step explanation:

You have to round. Also its correct on Imagine Math.

Answer:

y = 13/3

Step-by-step explanation:

substitute y=2x+5 in x+y = 4

x+2x+5 = 4

3x+5=4

3x= -1

x= -1/3

substitute x= 1-/3 in x+y = 4

-1/3 +y = 4

y = 13/3

3 and 4

Step-by-step explanation:

y=5x

y=5(0)

y=0

y=5x

y=5(10)

y=50

y=5x

y=5(51)

y=255

y=5x

y=5(400)

y=2000

Answer:

h(x) = 3^(x + 1)

Step-by-step explanation:

The exponential function is;

g(x) = 3^(x)

Now, in transformation of exponential functions of say f(x) = b^(x), when the new function g(x) is created by stretching by a factor of say c along the y-axis, we have;

g(x) = c•b^(x)

In this question, we are told it is stretched by a factor of 3 along the y-axis.

Thus, new function h is;

h(x) = 3 × 3^(x)

Using law of indices, we have;

h(x) = 3^(x + 1)

Answer:

[tex]x=7\text{ and } m\angle KLM = 34^\circ[/tex]

Step-by-step explanation:

We are given ethat KM and JN are parallel.

And we want to find the value of x.

Notice that ∠JKM and ∠LKM form a linear pair. Linear pairs total 180°. Therefore:

[tex]m\angle JKM + m\angle LKM = 180[/tex]

We know that ∠JKM measures (14x + 8). Substitute:

[tex](14x+8)+m\angle LKM =180[/tex]

Solve for ∠LKM:

[tex]m\angle LKM = 172-14x[/tex]

Next, since KM and JN are parallel, by the Corresponding Angles Theorem:

[tex]\angle JNM \cong \angle KML[/tex]

Since we know that ∠JNM measure (10x + 2), we can conclude that:

[tex]m\angle KML = 10x+2[/tex]

Next, recall that the three interior angles of a triangle must total 180°. Therefore:

[tex]m\angle KLM + m\angle LKM + m\angle KML = 180[/tex]

Substitute:

[tex](5x-1)+(172-14x)+(10x+2)=180[/tex]

Solve for x. Rewrite:

[tex](5x-14x+10x)+(-1+172+2)=180[/tex]

Combine like terms:

[tex](1x)+(173)=180[/tex]

Therefore:

[tex]x=7[/tex]

To find ∠KLM, substitute in 7 for x and evaluate. So:

[tex]m\angle KLM = 5(7) - 1 =34^\circ[/tex]

Answer:

Q = G

Step-by-step explanation:

We are already given that angle P = angle H

We are also given that side QP = side GH

Remember if two sides are congruent then so are their opposite angles meaning that the opposite angle of GH ( which would be angle F ) would be congruent to the opposite angle of QP ( which would be angle R )

The remaining angles would be angle q and angle g so the additional information needed would be G = Q

Answer:

Step-by-step explanation:

hope it helps

Answer:

20 children

Step-by-step explanation:

We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.

Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.

Answer:

20 childrenyjvvvvggguggggyg

Answer:

Step-by-step explanation:

Answer:

Sequence = 120

Step-by-step explanation:

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

Step-by-step explanation:

Hope this helps

Answer:

Well the correct answer is 9=2+(x/3) or

(3/x)+2=9

Answer:

y=2-3

Step-by-step explanation:

using a calculator

Answer:

[tex]y=4x+6[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

1) Plug the gradient into the equation (b)

[tex]y=mx+b[/tex]

We're given that the gradient of the line is 4. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=4x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=4x+b[/tex]

Plug in the given point (1,10) as (x,y) and solve for b

[tex]10=4(1)+b\\10=4+b[/tex]

Subtract 4 from both sides to isolate b

[tex]10-4=4+b-4\\6=b[/tex]

Therefore, the y-intercept of the line is 6. Plug this back into [tex]y=4x+b[/tex] as b:

[tex]y=4x+6[/tex]

I hope this helps!

answer = y = 4x + 6

y = mx + b

gradient = slope = m = 4

(1,10) = (x,y)

plug in the values

10 = 4 (1) + b

10 = 4 + b

b = 6

y = 4x + 6

Answer:

The number of FM listereners are 24000.

Step-by-step explanation:

Let the listeners of FM are p and thus the istereners of AM are 5p.

According to the question,

p + 5 p = 144000

6 p = 144000

p = 24000

The number of FM listereners are 24000.

Answer:

27.3

Step-by-step explanation:

The base of the triangle is,

√(12²-5²)

= √119 = 10.9

The area of the triangle,

5×10.9/2

= 109/4 = 27.25 ≈ 27.3

Answered by GAUTHMATH

Answer:

[tex]40\ cm^3[/tex]

Step-by-step explanation:

Let the actual volume is V.

The measured volume of an object is 46 cubic cm  which was 15% high from the actual volume.

According to the given condition,

[tex]V+\dfrac{15V}{100}=46\\\\\dfrac{115V}{100}=46\\\\V=\dfrac{4600}{115}\\\\V=40\ cm^3[/tex]

So, the actual volume was [tex]40\ cm^3[/tex].

Answer:

a)

x=4, y=-2

b)

x=2, y=2

c)

x=0, y=0

d)

x=1, y=1

e)

x=3, y=3

f)

x=4, y=4

Step-by-step explanation:

a) (x,-2) = (4,y)

x=4

y=-2

b) (3x, 4) = (6, 2y)

3x=6 => x=2

2y=4 => y=2

c) (2x-1, y + 2) = (-1,2)

2x-1 =-1 => x=0

y+2 = 2 => y=0

d) (2x + 4, y + 5) = (3x + 3,6)

2x+4 = 3x+3 => x=1

y+5 = 6 => y=1

e) (x + y,y + 3) = (6, 2y)

x+y = 6 => x+3 = 6 => x=3

y+3 = 2y => y=3

f) (x + y, x - y) - (8,0)​

x+y = 8 => 2x=8 => x=4

x-y = 0 => x=y => y=4

Answer:

Step-by-step explanation:

b + 70  = 180   {Supplementary angles}

b = 180 - 70

b = 110

a +b = 180   {Linear pair}

a + 110 = 180

a = 180 - 110

a = 70

d + 60 = 180  {linear pair}

d = 180 - 60

d = 120

c + d + 60 = 360   {one point angle}

c + 120 + 60 = 360

c + 180 = 360

c = 360 - 180

c = 180

f + 60 = 180   {Supplementary angles}

f = 180 - 60

f = 120

Answer:

The answer is c=5,-5

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

[tex]$^9C_4$[/tex]

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

[tex]$^9C_4=\frac{9!}{4!(9-4)!}$[/tex]

      [tex]$=\frac{9!}{5! \ 4!}$[/tex]

     [tex]$=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$[/tex]

    = 126

Answer:

Step-by-step explanation:

Six liters of paint will cover 50 square meters.

  6L ⇒ 50m²

then,

  1L ⇒ 50/6 m²

  9L ⇒ 50 × [tex]\frac{9}{6}[/tex] m²

       ⇒ 75 m²

Answer:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

cos^2x = cos^2x

Step-by-step explanation:

Simplify the left hand side:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

Using the Pythagorean Identity, we can see that the two sides are equivalent if you subtract sin^2x from both sides:

sin^2x + cos^2x = 1

cos^2x = 1 - sin^2x

Lastly, write it out:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

cos^2x = cos^2x

Answer:

Area of a circle is denoted by: πr^2 where r is the radius of the circle. = 16/2 = 8 feet.

Step-by-step explanation:

Answer: A.Spreads: The weights of the tigers are more spread out.

B.Centers:The leopards have a lower median weight than the tigers

Step-by-step explanation:

On analyzing the dot plots, we find that the weight of Leopards are more spread out and the weight of Leopards has a lower median than Tiger.

Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.

Median of Weight of Leopard = 50 kg

Median of Weight of Tiger = 125 kg

This implies that the Leopards have a lower median weight than Tigers.

What is spread of data?

Spread describes the variation of the data. One of the measures of spread is range.

Range of weight of Leopards= 40 kg

Range of weight of Tigers = 90 kg

This implies that the weight of Tigers are more spread out.

Learn more about median here

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