4. Meg uses 1/2 of her supply of raisins
to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply

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

Explanation:

Consider a square on paper that is 3 inches by 3 inches. It's area would be 3*3 = 9 square inches.

The ratio 1 to 38 means that 1 inch on paper corresponds to 38 inches in real life (assuming the "1 to 38" doesn't have any verbal units attached to it; if so, then refer to the note below). So a 3 by 3 square corresponds to a 114 by 114 square because 3*38 = 114.

The area of the second larger square is 114*114 = 12,996 square inches.

Now divide the two areas: (12,996)/(9) = 1444

It's probably not entirely obvious, but through a bit of playing around with various numbers, you should find that 38^2 = 1444. It's not a coincidence that this happens. The linear scale factor is 38 which means the area scale factor is 38^2 = 1444.

In short, the larger square in real life has area that is 1444 times that of its scaled down counterpart.

Or put another way:

large area = 1444*(small area)

------------------

Side note: This all assumes that the numbers in "1 to 38" are both the same unit. If we had a mixed ratio of units like "1 inch to 38 feet", then the answer would be different. You would need to convert from feet to inches, and then follow the steps above to get a different answer.

Answer:

48

Step-by-step explanation:

Trust me

Answer:

49N

Step-by-step explanation:

Below is the calculation for the force applied:

It is given that the mass of stone is 5 kg and it falls from the height of 100 meters. Therefore, a force can be determined by multiplying the mass will a constant value of "a".

Force = Mass x a

Force = 5 x 9.8

Force = 49 N

Since the action-reaction are equal and opposite so the each will apply the same force.

Answer:

[tex](a)\ x = 3y - 2[/tex]

[tex](b)\ y = -3x - 2[/tex]

[tex](e)\ 3y - x = -2[/tex]

Step-by-step explanation:

Given

[tex]y =3x -2[/tex]

Required

Equations that can create consistent and independent systems

For a pair of equation to have consistent and independent systems, the equations must have different slopes.

An equation of the form [tex]y = mx + c[/tex] has m has its slope.

In [tex]y =3x -2[/tex]

[tex]m = 3[/tex] --- slope

Considering the options

[tex](a)\ x = 3y - 2[/tex]

Make y the subject

[tex]x = 3y - 2[/tex]

[tex]3y = x+2[/tex]

Divide by 3

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

The slope is:

[tex]m_1 = \frac{1}{3}[/tex]

Hence, (a) can make a consistent and independent system with [tex]y =3x -2[/tex]

[tex](b)\ y = -3x - 2[/tex]

The slope is:

[tex]m= -3[/tex]

Hence, (b) can make a consistent and independent system with [tex]y =3x -2[/tex]

[tex](c)\ y = 3x + 2[/tex]

The slope is:

[tex]m=3[/tex]

Hence, (c) cannot make a consistent and independent system with [tex]y =3x -2[/tex]

[tex](d)\ 6x - 2y = 4[/tex]

Make y the subject

[tex]2y = 6x -4[/tex]

Divide by 2

[tex]y = 3x -2[/tex]

The slope is

[tex]m =3[/tex]

Hence, (d) cannot make a consistent and independent system with [tex]y =3x -2[/tex]

[tex](e)\ 3y - x = -2[/tex]

Make y the subject

[tex]3y = x -2[/tex]

Divide by 3

[tex]y = \frac{1}{3}x -\frac{2}{3}[/tex]

The slope is:

[tex]m = \frac{1}{3}[/tex]

Hence, (e) can make a consistent and independent system with [tex]y =3x -2[/tex]

Answer:

8 x 5 x 2

Step-by-step explanation:

total number of windows seen = total number of cars x total number of windows a car has

total number of windows a car has = number of windows a car has x total number of sides  = 5 x 2

total number of windows seen = 8 x 5 x 2

Answer:

If x is the one vertically opposite to 40, then x will be 40, due to vertically opposite angles.

Answer:

"C" has to be the answer...

there is a vertical asymptote at -5

thus you need a denominator that is zero at -5

plug in -5 into the equations only "C" ends up with a zero in the denominator at that point

Step-by-step explanation:

Answer:

isosceles right

Step-by-step explanation:

It is an isosceles right angled triangle because according to the figure it's two sides are equal which means it is isosceles triangle and there is 90 degree symbol which denotes right angle.

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

Answer:

it is a right angled triangle

Step-by-step explanation:

it has a hypothenuse,opposite and adjacent

Answer:

1.26 years

Step-by-step explanation:

Answer:

q^2

Step-by-step explanation:

Answer:

q^2

Step-by-step explanation:

4q^2 – 3q^2

Factor out the q^2

q^2 ( 4-3)

q^2(1)

1q^2

q^2

Step-by-step explanation:

[tex] - 2 {x}^{2} - 9 = - 107 \\ - {2x}^{2} = - 98 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ { \boxed{lesser : \: - 7}} \\ { \boxed{greater : \: + 7}}[/tex]

Answer: a. x=4 b. x=17.5

Step-by-step explanation:

a. 5x/2+1=11

subtract 1 from both sides : 5x/2=10

multiply both sides by 2 : 5x=20

divide both sides by 4 : x=4

b. 2x/7-3=2

add 3 to both sides : 2x/7=5

multiply both sides by 7 : 2x=35

divide both sides by 2 : x=17.5

Answer:

1. 452.39

2. 615.75

Step-by-step explanation:

area of a circle = A=πr2

Answer:

The y intercepts is -2

y = 1x-2

Step-by-step explanation:

The y intercept is where it crosses the y axis

The y intercepts is -2

We need to determine the slope, by using to points on the line

(0,-2) and (2,0)

m = (y2-y1)/(x2-x1)

   = (0 --2)/(2-0)

   = (0+2)/(2-0)

   = 2/2

  = 1

The equation for the line is

y = mx+b where m is the slope and b is the y intercept

y = 1x-2

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

Answer:

Step-by-step explanation:

slope=-2

now using slope intercet formof equation of straight line,we get

y=mx+b

or, y=-2x + b

y + 2x =b

2x + y=b ......................   eq(i)

since the line passes through the point (4,5) it satisfies the equation (i)

y=5 and x=4 so,

equation is 2x +y =b

2*4 + 5=b

8+5=b

13=b

substituting the value of b in eq(i)

2x + y=b

2x + y=13

2x + y-13=0  is the required equation of the line.

Answer: [tex]15\ ft,6\ ft[/tex]

Step-by-step explanation:

Given

The area of a rectangular wall of a barn is [tex]135\ ft^2[/tex]

Suppose the width of the wall is [tex]x[/tex]

So, the length of the wall is [tex]6+x[/tex]

Area can be written as the product of length and width

[tex]\Rightarrow (6+x)x=135\\\Rightarrow 6x+x^2=135\\\Rightarrow x^2+6x-135=0\\\Rightarrow x=\dfrac{-6\pm \sqrt{6^2-4(1)(-135)}}{2(1)}\\\\\Rightarrow x=\dfrac{-6\pm 24}{2}\\\\\Rightarrow x=-15,9[/tex]

neglecting the negative value, width of the wall is [tex]9\ ft[/tex]

So, the length of the wall is [tex]9+6=15\ ft[/tex]

Answer:

-39

Step-by-step explanation:

Please give me brainliest.

Answer:

-39

Step-by-step explanation:

6-45

A buyer owes a seller $45 and has gone to pay $6. The remaining dollars which the buyer must give the seller is $39.

Answer:

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

3x+4y=10

3x+4(x-1)=10

3x+4x-4=10

7x-4=10

Add 4 to both sides

7x=14

x=2

Answer:(2,1)

Step-by-step explanation:ap3x beans

Answer:

The series 64, 16, 4, 1 is convergent.

Step-by-step explanation:

Let be [tex]\{x_{1}, x_{2},...,x_{n}\}[/tex] the set of values of the series. A series is convergent if and only if:

[tex]\frac{x_{i + 1}}{x_{i}} < 1, \, \forall\,i\in \mathbb{N}[/tex] (1)

If we know that [tex]x_{1} = 64[/tex], [tex]x_{2} = 16[/tex], [tex]x_{3} = 4[/tex] and [tex]x_{4} = 1[/tex], then the convergence ratio of each pair of consecutive values are, respectively:

[tex]\frac{x_{2}}{x_{1}} = \frac{1}{4}[/tex], [tex]\frac{x_{3}}{x_{2}} = \frac{1}{4}[/tex], [tex]\frac{x_{4}}{x_{3}} = \frac{1}{4}[/tex]

Hence, the series 64, 16, 4, 1 is convergent.

Answer:

9

Step-by-step explanation:

240/20=12

That mean's takes 12 weeks in total.

But, 3 weeks was already done.

So, you do 12 -3.

Which equals 9.

So, the answer is 9.

Please give me brainiest!!!

Answer:

47 and now I'm just typing so it lets me answer

Step-by-step explanation:

calculator

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

Answer:

(x - 3)² + (y + 5)² = 10

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, - 5 ) , then

(x - 3)² + (y - (- 5) )² = r² , that is

(x - 3)² + (y + 5)² = r²

r is the distance from the centre to a point on the line

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)

r = [tex]\sqrt{(6-3)^2+(-4+5)^2}[/tex]

  = [tex]\sqrt{3^2+1^2}[/tex]

  = [tex]\sqrt{9+1}[/tex]

   = [tex]\sqrt{10}[/tex] ⇒ r² = ([tex]\sqrt{10}[/tex] )² = 10

(x - 3)² + (y + 5)² = 10 ← equation of circle

Answer:

lesser x = -6

greater x  = 6

Step-by-step explanation:

-5x² + 180 = 0

5x² = 180

x² = 36

x = ±6

Answer:

x = - 6, x = 6

Step-by-step explanation:

Given

h(x) = - 5x² + 180

To find the zeros let h(x) = 0 , that is

- 5x² + 180 = 0 ( subtract 180 from both sides )

- 5x² = - 180 ( divide both sides by - 5 )

x² = 36 ( take the square root of both sides )

x = ± [tex]\sqrt{36}[/tex] = ± 6 , then

lesser x = - 6

greater x = + 6