solve the problem by defining a variable and writing an equation

Answer:

This is the answer and I hope it helps. have a great time.

Answer:

Step-by-step explanation:

Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4

Answer:

50 packs.

Step-by-step explanation:

Given the following data;

Length = 28 feet

Width = 25 feet

Pack of seeds = 14 ft²

Since Kevin's backyard is a rectangle, we would find its area.

Area of rectangle = length * width

Substituting into the equation, we have;

Area of rectangle = 28 * 25

Area of rectangle = 700 ft²

Now to find the amount of pack of seeds required to cover the backyard.

Amount of pack of seeds = 700/14

Amount of pack of seeds = 50 packs.

Answer:9a-2

Step-by-step explanation: see photo

Answer:

Step-by-step explanation:

The proportion is:

Out of 50 times, the player will reach first base:

Total times

Proportion

k=30%=0.3

Answer:

B is the linear relationship

Answer:

second option where y = 8, 16 and 24

Step-by-step explanation:

second option where y = 8, 16 and 24

This table shows a linear relationship because the y-values increase by the same amount each time (i.e. the difference between the y-values is the same).

Answer:

P = 17.50x + 200

Step-by-step explanation:

x is the number of hours worked

P is how much money Geoff earns

The two values of y after factorizing the given quadratic equation are 0, -0.5

The given equation is quadratic as the order of the equation is 2. In a quadratic equation with a single variable, the variable will have two different values which satisfy the equation. These values of the variable can be real and different, real and equal, or imaginary.

So, there will be two values of y.

Consider the given equation,

10y^2 + 12y = 7y

10y^2 +12y - 7y = 0

10y^2 + 5y = 0

Since the coefficients of y and y^2 are both multiples of 5,

5*(2y^2 + y) = 0

2y^2 + y = 0

Taking y as a common factor,

y*(2y+1) = 0

Now, we get two cases,

y = 0 or 2y + 1 = 0 => y = -(1/2) = -0.5

Therefore, y = 0 or y = -0.5

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Answer:

$2695

Step-by-step explanation:

$265 + $0.90p=C

To find out the value of C (cost), we must solve the equation by replacing P (number of keychains) with the given value, 2700.

265 + 0.90(2700) = C

Now, we use order of operations. (PEMDAS)

In this case, the parentheses stand for multiplication. Since multiplication comes first, we multiply 0.90 by 2700.

The product of 0.90(2700) is 2430.

Our new equation should look like this

265 + 2430=C

Adding those together you get 2695, to finish this off, C=$2695

(Side note: be sure to identify what the value is, for example 2695 is the cost of producing 2700 key chains, meaning it's $)

I hope this made sense and helped lol

Answer:

3

Step-by-step explanation

i did the test and got a 100

Answer:

1. \( h = -3t + 18 \)

2. The amount of snow that accumulated the previous night.

Step-by-step explanation:

1. height of snow = h cm

time = t hrs

To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,

y = h,

x = t

m = slope

b = y-intercept

Find slope (m) using points (6, 0) and (0, 18):

\( m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 \)

m = -3

The y-intercept is where the line intercepts the y-axis = 18

Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.

Thus, the linear function would be:

\( h = -3t + 18 \)

2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.

The measure of x and y of the angles are x = 20° and y = 35°

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the measure of the first angle be m₁ = ( 125 - y )°

Let the measure of second angle m₂ = 24°

Let the measure of third angle m₃ = ( x + 46 )°

Now , from the diagram , m₁ = 90°

So , the measure of m₁ = ( 125 - y )° = 90°

On simplifying , we get

Adding y on both sides , we get

125 = 90 + y

Subtracting 90 on both sides , we get

y = 35°

Now , m₁ + m₂ + m₃ = 180° ( angles on a straight line )

So , 90° + 24° + ( x + 46 )° = 180°

x + 46 = 66

Subtracting 46 on both sides , we get

x = 20°

So , the measure of ₃ = 66°

Hence , the measures of angles are solved

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Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle (\(a\), \(b\), \(c\)), but all angles are unknown (\(A\), \(B\), \(C\)). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that \(a = 19\), \(b = 16\) and \(c = 11\), then the missing angles are, respectively:

Angle A

\(a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A\) (1)

\(A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)\)

\(A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right]\)

\(A \approx 87.395^{\circ}\)

Angle B

\(b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B\) (2)

\(B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)\)

\(B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right]\)

\(B\approx 57.271^{\circ}\)

Angle C

\(C = 180^{\circ}-A-B\)

\(C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}\)

\(C = 35.334^{\circ}\)

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Answer:

3,280/38650 x 100% = 8%

Answer: The greatest common factor for 15 and 64 is 1.

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

\(\begin{gathered}\huge\boxed{\begin{array} {}\orange {\bowtie}\:\:\:\:\:\:\: \orange {\bowtie}\\ ｡◕◡◕ ｡ \\ \end{array}}\end{gathered}\)

Explanation:

Assuming each circular portion takes up 1/4 of the entire tile, this means 15/2 = 7.5 is the distance across one of the smaller sub-tiles. This is the diameter of one of the big circles.

Circumference = pi*diameter = 3.1416*7.5 = 23.562

That rounds to 23.56

height =50

base=40

area of triangle =1/2b*h

1/2*40*50

1000

Answer:

970 cm

Step-by-step explanation:

Given that:

Size of brick :

25cm × 16cm × 10cm

Number of bricks = 4700

Dimension of wall = 20 m long × 20 cm wide

Let the height = h

Hence, dimension of wall (length and height)

2000 cm × h

Dimension of window = 2m × 1.5m = 200cm × 150cm

Number of windows = 2

Total area covered by windows = 2 * (L * B)

= 2(200 * 150) = 60,000cm

Brick = (25 * 16) * 4700 = 1, 880, 000 cm ( length and height)

Wall = 2000 * height - 60,000 = 1880000

2000height - 60,000 = 1880000

2000height = 1880000 + 60,000

2000height = 1940000

Height = 1940000 / 2000

Height of wall = 970 cm

Answer:

He spent 60% on fruit

Step-by-step explanation:

Answer:

Step-by-step explanation:

65-39=26

26/100=0.26

Answer:

$30, $60 and $90

Step-by-step explanation:

The value of 1 unit: 180 : (1+2+3) = $60

30×1=$30

$30×2=$60

$30×3=$90

So $180 shared by the ratio 1:2:3 is $30, $60 and $90.

Answer: $30, $60 and $90.

Hope it helps you

Answer:

19

Step-by-step explanation:

First, You want to add all of the data below and you get 133 and with that data you divide 133 by 7 because you have 7 values. I hope i'm right and have a great day :)

Answer:

Chris gave 4 and got 28

Dan gave 4 and got 28

this is the best I can do

sorry

Answer:

true

Step-by-step explanation:

(-3)^22 -> to the power of an even number -> answer is positive

(-2)^33 -> to the power of an odd number -> answer is negative

positive # > negative #

Answer:

True

Step-by-step explanation:

First let's compare them.

-3 raised to an even power will give a positive number.

-2 raised to an odd power will give a negative number.

Therefore, (-3)²² > (-2)³³ is a true statement.

Answer:

D

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

desmos

Answer #1:

the difference between the PARIMITER and AREA of a shape is

  - PARIMITER is the length of all sides in total

  - AREA is the square ore cubic measurement aka VOLUME of a shape

Answer #2:

the difference between 1in and 2in is 1 in

Step-by-step explanation:

#1:

say we have a square that is 2 by 3 units, to measure the shape in both mediums we will use two easy functions

  ~ PARIMITER = 10

to figure out the outside edge of this shape, we need to measure all single sides and add them together

(2 + 2) + (3 + 3) = 4 + 6 = 10

       ^  note: be sure to add BOTH sides even if they have same measurements, beings there are two sides that have a measurement of 2 units, we add them together, same with the sides of 3, then we add those together

  ~ AREA = 6

to find the area, we just need to take ONE of each axis side (ei only left or right, top or bottum, and in some cases front or back) and lay them as shown

width = 2

height = 3

then we multiply them with each other

2 * 3 = 6

#2

finding the difference between two numbers can be quite easy, all we do is subtract 1 from the other, and depending on the result, we can tell whats greater, lesser or indifferent, take a look here

say we subtract 2in from 1in

2in - 1in = 1in

we are left with 1in from the 2in, meaning that 2in is greater then 1in by 1in, HOWEVER if we subtract 2in from 1in

1in - 2in = (-1in)

the number is in the negative, meaning that there is 1in LESS in 1in then in 2in

NOTE sometimes we find out that one of has no difference or is the same as the other number, heres an example

3in - 3in = 0in

this equation represents that the first 3in is no greater, nor lesser then the second 3in, meaning both values are the same

PS: for real though i know these are easy questions but i figured id earn the crown hehe :3, feel free to fact check this if you want, and if you want to use this as foot notes for your work