Macy eats 1 piece of candy corn on October 1st,
3 on October 2nd, 5 on October 3rd, and so on
through the 31 days of the month. Each day she
eats 2 more pieces than the day before. In all,
how many pieces of candy corn does Macy eat
in October?
Please explain

Answer:

Triangle QNR is congruent to Triangle RMQ by ASA congruence

Step-by-step explanation:

In Triangle QNR and Triangle RMQ,

QR = QR  ( Common )

Angle MRQ = Angle NQR ( given )

Angle MQR = Angle NRQ ( Isoceles Triangle Property )

Therefore, Triangle QNR is congruent to Triangle RMQ by ASA congruence.

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3x - 7 = 29

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 29 does indeed equal 29.

∴ x = 12 is a solution of the equation.

Step-by-step explanation:

The marked price of an article is 25% above the SP and the CP is 20% below the selling price. What is the rate of discount and the profit percentage?

Let C, M & S denote cost-price, marked-price & sell-price respectively of the article.

Hence from above data we get following relations,

M = (1 + 25/100)*S = 1.25*S ….. (1a)

C = (1 - 20/100)*S = 0.80*S ….. (1b)

From (1a) we get,

S = (100/125)*M = (4/5)*M

or S = (1 - 1/5)*M = (1 - 20/100)*M ….. (2a)

From (1b) we get,

S = (100/80)*C = (5/4)*M

or S = (1 + 1/4)*C = (1 + 25/100)*C ….. (2b)

Therefore

It is evident from (2a) that

the discount percentage = 20% [Ans]

It is evident from (2b) that

the profit percentage = 25% [Ans]

Complete Question:

You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.

The initial heights are shown.

Write a system of linear equations that represents this situation.

Answer:

[tex]s(x) = 8 + 4x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Step-by-step explanation:

Given

Spruce Tree (s):

[tex]Initial\ Height = 8[/tex]

[tex]Growth = 4[/tex] (yearly)

Hemlock Tree (h):

[tex]Initial\ Height = 14[/tex]

[tex]Growth = 6[/tex] (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

[tex]Equation = Initial\ Height + Growth * x[/tex]

For Spruce Tree (s):

[tex]s(x) = 8 + 4 * x[/tex]

[tex]s(x) = 8 + 4x[/tex]

For Hemlock Tree (h):

[tex]h(x) = 14 + 6 * x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]

I think it’s rise over run but it might not be

Answer:

D

Step-by-step explanation:

Estimating 1,596 will give you 1,600. Estimating 42 will give you 40. Dividing 1,600 ÷ 40 will give you 40. So, the answer would be D.

Answer:

7/10

Step-by-step explanation:

(2/5)%(-4/7)

We will change the second fraction to make multiplication

So it will be 2/5×-7/4

=. -14/20

= -7/10

Answer:

Pretty sure its 1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Busy Village is how many times the population of Boring Town?

Answer:

8 gallons per minute

Step-by-step explanation:

24 gallons in 3 minutes

you divide 24 by 3 which is 8

40 gallons in 5 minutes

you divide 40 by 5 which is 8

the relationship is that in both the answer was 8 as in 8 gallons per minute

Answer:

B = P/ 2 − M

Step-by-step explanation:

Step-by-step explanation:

the answer is 1

x^0 = 1

12^0 = 1

im not that sure

Answer:

w = 3 cups when f = 4 cups

Step-by-step explanation:

Given:

w = 0.75f

Where,

w = number of cups of water

f = number of cups of flour

Find w when f = 4 cups

w = 0.75f

Substitute f = 4 into the equation

= 0.75(4)

= 3

w = 3 cups when f = 4 cups

Answer:

Step-by-step explanation:

You can have an infinite number of ratios are equivalent to 3:8 if you multiply this fraction by a fraction equivalent to   1 ( for example 2/2   3/3   4/4....)

3/8 x 2/2 = 6/16

3/8 = 0.375

6/16= 0.375

Answer:the other person got to it before me

Step-by-step explanation:

Answer:

-0.0936538462

Step-by-step explanation:

Start by solving the right side of the equation

1 - 2.87 = -1.87

now we have:

3 + 5.2c = -1.87

subtract 3 from both sides to get:

5.2c = -4.87

divide both sides by 5.2 to get:

-0.0936538462

hope that's what you're looking for! :)

Answer:

point-slope form:  [tex]y-3=-\frac{1}{3}(x - 3)[/tex]

slope-intercept form: [tex]y=-\frac{1}{3}x+4[/tex]

Step-by-step explanation:

point-slope form is: y - y1 = m(x - x1)

slope-intercept form is: y = mx + b

The formula used to find the slope(m): [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) = (3, 3)

(x2, y2) = (-6, 6)

The first thing we need to do to write the equations is to find the slope. We can do this by inputting the given points into the slope formula:

[tex]\frac{6-3}{-6-3}[/tex]

Simplify:

6 - 3 = 3

-6 - 3 = -9

[tex]\frac{3}{-9} =-\frac{1}{3}[/tex]

The slope is [tex]-\frac{1}{3}[/tex]. We can now write the equation in point-slope form:

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

To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:

y = mx + b

3 = [tex]-\frac{1}{3}[/tex](3) + b

Now you can solve for b:

3 = [tex]-\frac{1}{3}[/tex](3) + b

3 = -1 + b

4 = b

Now that we know the value of b, we can write the equation in slope-intercept form:

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

I hope this helps. :)

Equation in point-slope form of the line that passes through the given points (-6,6) and (3,3) is y=-1/3x+4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The given two points are (-6,6) and (3,3)

x1=-6, y1=6, y1=3 and y2=3

m=y2-y1/x2-xq

m=3-6/3-(-6)

m=-3/9

m=-1/3

Hence slope of line is m=-1/3

To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:

y = mx + b

3=-1/3(3)+b

4=b

Now that we know the value of b, we can write the equation in slope-intercept form:

y=-1/3x+4

Hence equation in point-slope form of the line that passes through the given points (-6,6) and (3,3) is y=-1/3x+4.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

Step-by-step explanation:

(B). - 28.7

Answer:

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices of the given rectangle ABCD,

A(3, 6), B(12, 6), C(12, 1) and D(3, 1)

Rule for the reflection of a point across x-axis,

(x, y) → (x, -y)

After reflection of the given rectangle across x-axis image points will be,

A(3, 6) → A'(3, -6)

B(12, 6) → B'(12, -6)

C(12, 1) → C'(12, -1)

D(3, 1) → D'(3, -1)

Now we can plot these points on the graph to get the image of rectangle ABCD.

From the figure attached,

Coordinates of the vertices of the given rectangle ABCD,

A(3, 6), B(12, 6), C(12, 1) and D(3, 1)

Rule for the reflection of a point across x-axis,

(x, y) → (x, -y)

After reflection of the given rectangle across x-axis image points will be,

A(3, 6) → A'(3, -6)

B(12, 6) → B'(12, -6)

C(12, 1) → C'(12, -1)

D(3, 1) → D'(3, -1)

Now we can plot these points on the graph to get the image of rectangle ABCD.

Answer:

no bc if you simplify it's 17=18 which is not right

Answer:

true

Step-by-step explanation:

because that has a solution

Answer:

45.6

Step-by-step explanation:

24% out of 190 = 45.6

Answer:

230

Step-by-step explanation:

230

Answer:

[tex] \huge \orange{ \frac{1}{6} } \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{7 - 6}{7 - 1} = \frac{1}{6} \\ [/tex]

We have the final answer as

[tex] \frac{1}{6} \\ [/tex]

Hope this helps you

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]600 = 6 \times 10 \times 10[/tex]

[tex]600 = 2 \times 3 \times 2 \times 5 \times 2 \times 5[/tex]

[tex]600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5[/tex]

[tex]600 = {2}^{3} \times 3 \times {5}^{2} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

A is on a line with the slope of 2/3

Step-by-step explanation:

the rule is that you do y2-y1 over x2-x1 which you do 4-2 over 8-5 and your final answer you would get 2/3.

hope this helped!

i am new here and my name is arrianna call me arri for short

Answer:

a

Step-by-step explanation:

Answer:

The history of irrational numbers, The discovery of irrational numbers is usually attributed to Pythagoras, more specifically to the Pythagorean Hippasus of Metapontum, who produced a (most likely geometrical) proof of the irrationality of the square root of 2. The story goes that Hippasus discovered irrational numbers when trying to represent the square root of 2 as a fraction. However Pythagoras believed in the absoluteness of numbers, and could not accept the existence of irrational numbers. He could not disprove their existence through logic, but his beliefs would not accept the existence of irrational numbers and so he sentenced Hippasus to death by drowning. Irrational numbers are important because without it we wouldn't have the continuum of real numbers which would make geometry impossible to do in life.

Step-by-step explanation:

Answer:

5 1/8 - 2 5/6

Step-by-step explanation:

Answer: 2  7 /24

Answer:

2 7/24

Step-by-step explanation:

let’s go ahead and make these fractions have the same denominator.

1/8 and 5/6

what multiple do they share?

8 * 3 = 24

6 * 4 = 24

we will change their denominators to 24.

Now to change the numerator you have to multiply it by what you multiplied the denominator by:

1/8 * 3/3 = 3/24

5/6 * 4/4 = 20/24

now we will add the whole numbers to the fraction:

5/1 * 24/24 = 120/24

2/1 * 24/24 = 48/24

now add these to the correct fraction:

120/24 + 3/24 = 123/24

48/24 + 20/24 = 68/24

Now subtract!

123/24 -68/24 = 55/24

Simplify:

55/24 = 2 7/24

Answer:

3

Step-by-step explanation:

up 3, right 1

rise over run 3/1 = 3

Answer:

1/3

Step-by-step explanation:

Rise =  1

Run     3