a. What is the solution of this system of equations? 3x + 7y = 15 , 5x +2y = -4.

Answer:

4 or 1

Step-by-step explanation:

100%

u got this hope it helps

i) cost of oil change = $29.99

ii) Balance on December 1 = $252.009

iii) Difference between the two balance = $85.79

According to the question we have been that

           Total balance on November 1 = $337.88

i) We need to find how much did the oil change cost.

  For that we will first calculate how much balance was left after depositing after pay check.

Balance after spending in groceries= $337.88 - $ 42.59 = $295.29

Balance after depositing from savings account = $295.29 + $125.00 = $420.29

Balance after spending in electric bill = $420.29 - $35.67 = $384.62

Balance after depositing from paycheck = $415.00 + $384.62 = $799.62

Therefore, Cost of oil changing = $799.62 - $769.63 = $29.99

ii) For the balance on December 1 after rent had paid, we will first calculate the balance after spending for birthday present.

Balance after spending for birthday present = $769.63 - $17.54 = $752.09

Therefore the balance on December 1 = $752.09 - $500.00 = $252.09

iii) Difference in the two balance is

                                    = balance on November 1 - Balance on December 1

                                    = $337.88 - $252.09

                                    = $85.79

Hence the difference in the two balances is $85.79

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Answer:

Price after first increase:

Price after second increase:

The two steps above can be combined as:

Answer:

10 24 32 are the answers

Step-by-step explanation:

My mom is a teacher lol

The common difference d is 2.2 and the first term a1 is -9.

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same value.

The formula of Arithmetic progression is

a(n) = a1 + (n - 1)d

given that the two terms of arithmetic sequence,

a4 = -2.4 and a6 = 2.

now, find the common difference d.

a(n) = a1 + (n - 1)d

Let take a(n) = a6 and a1 = a4.

a6 = a4 + (6 - 4)d

a6 = a4 + 2d

now substitute the values of a6 and a4

2 = -2.4 + 2d

2 + 2.4 = 2d

d = 4.4/2

d = 2.2

so, the common difference d is 2.2.

then, find the term a1.

take the formula

a(n) = a1 + (n - 1)d

now, substitute a(n) = a4 and d = 2.2.

-2.4 = a1 + (4-1)d

-2.4 = a1 + 3d

-2.4 = a1 + 3(2.2)

-2.4 = a1 + 6.6

a1 = -6.6-2.4

a1 = -9.

so, the first term a1 is -9.

Hence, the common difference d is 2.2 and the first term a1 is -9.

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Answer:

k and 16

Step-by-step explanation:

I will cry

Nan

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Nan

Answer:

f(x):f(x)=2/7x-9

Step-by-step explanation:

If it is wrong than i am sorry

Using arithmetic sequence concepts, the matching terms are given as follows:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

Hence, in this problem, the terms are classified as follows:

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The slope of the line containing (7,-3) and (-8,-3) is  Zero(0).

The slope of a straight line can be written as follows,

m =  [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex]                 equation1

The line is containing the points (-3,3) and (4,3). So, we can write

[tex]y_{2}[/tex] = -3 , [tex]y_{1}[/tex] = -3 , [tex]x_{2}[/tex] = -8 , and [tex]x_{1}[/tex] = 7 .

On substituting the values of variables in equation1, we will get

m = ( (-3)-(-3) ) / ( (-8)-(7) ) = (0/(-15)) = 0.

As the slope of a line is Zero(0), so we can conclude that the given line is a straight line.

Here:

m = the slope of the line

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.

The slope of the line containing  (7,-3) and (-8,-3) is  Zero(0).

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Percentages greater than 100% can be expressed as x% where x is any real number

As a general rule, percentages are represented by %

Take for instance

x% is pronounced x percentage

Where x is any real number

Whether x is greater than 100 or not, the format of the expression remains the same

i.e. 150 percent is written as 150% and 25 percent is written as 25%

Hence, percentages greater than 100% can be expressed as x% where x is any real number

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Answer:

In bold below.

Step-by-step explanation:

There are 12*12 = 144 square inches in a square foot.

So, there are 144 in^2 per 1 ft^2

So, we have:

               144 in^2

32 ft^2     -----------   =      4608 in^2.

                   1 ft^2

For yards it is 1 yd^2 per 9 ft^2 :-

                  1 yd^2

32 ft^2 =   ------------ =   3.56 yd^2.

                    9 ft^2

Answer:The marble that is farthest from the target is the pink marble.

Step-by-step explanation:

Answer:

y=2x-7

Step-by-step explanation:

[tex]2x-y=6 \\ \\ -2x+y=-6 \\ \\ y=2x-6[/tex]

Parallel lines have the same slope, so we want the line with a slope of 2 through (3, -1).

This line is y=2x-7.

The slope-intercept form is y = mx + b.

If the value of m = -6 and b = 9 then 6x + y = 9 be the standard form.

Y = mx + b is the general formula for the slope-intercept form, where m stands for the line's slope and b for the y-value of the line's y-intercept. We may more easily determine a line's slope and its y-axis intersection using the slope-intercept form of a linear equation.

Let the value of m = -6(slope)

b = 9 (y -intercept)

The slope-intercept form is given by,

y = mx + b

y = -6x + 9

Therefore,  y = -6x + 9  is the slope-intercept form

Standard form is given by, Ax + By = C

Since, slope-intercept form is y = -6x + 9

⇒ 6x + y = 9

Therefore, 6x + y = 9 is the standard form.

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Answer:

Step-by-step explanation:

4.5 in

Divide the area of the triangle by the height.

The size of the segment in the scale drawing using a drawing scale factor of 5 meters to one box is 30 meters.

A scale factor is a value with which the dimensions of an original two dimensional geometric figure or a three dimensional solid can be multiplied to obtain an image.

Scale factors are used in maps and drawings to represent a large geographic area, or a life sized object on paper, such that the relative sizes of the sides of the original figure are maintained

Solution;

Using the height of the arc in the drawing as the reference, we have;

50 m is equivalent to 10 boxes

Therefore;

The length of one box = (50 m)/10 = 5 m

The scale of the drawing is therefore;

The length of the given segment = 6 box length

The length, L, of the segment is too therefore;

L = 6 box × 5 m/box = 30 m

The length of the segment is L = 30 meters

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The height of the second person is 72 inches .

Let the height of the second person be "x"

We need to line up a relationship between 2 sets of numbers.

We are told that the connection could be a direct proportion as it is given that "a person 81 inches tall casts a shadow 94.5 inches long". therefore we will setup a magnitude relation that relates those 2 which is given by 81/94.5.

Since 81 and 94.5 are unit each in inches and that we will categorical the peak of the tree within the same units, feet, because the shadow of the tree, we do not got to worry concerning conversion of units.

81 is to 94.5 as x is to 84 is given by

81/94.5 = x / 84

0.8571 × 84 = x

      72 = x

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assuming 2x= 3x-42,

x=42

2x= 84

and 3x-42= 84

Answer:

6

Step-by-step explanation:

To find the GCF by factoring, list out all of the factors of each number and select the largest that both have in common.

The area of triangle ΔABC with ∠C = 90°, ∠B = 75° an AB = 12 cm will be 18.16 square centimeters.

We have a right - angled triangle ΔABC.

We have to find the area of ΔABC.

Pythagoras theorem states - In a right - angled triangle ΔABC, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically -

h² = b² + p²

According to the question -

(Refer to the image attached)

∠C = 90°

∠B = 75°

AB = 12 cm

Now -

sin 75° = AC/AB

AC = AB sin(75°) = 12 sin(75°) = 12 x 0.97 = 11.64 cm

and

tan 75° = AC/BC

BC = AC/tan(75°) = 11.64/3.73 = 3.12 cm

Therefore, the area of triangle ΔABC -

A = 1/2 (AC x BC) = 0.5 x 3.12 x 11.64 = 18.16 cm²

Hence, the area of triangle ΔABC will be 18.16 cm².

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Using proportions, it is found that:

a. There are 2736 calories in the fudge recipe.

b. There are 42.75 calories in a 1-inch by 1-inch piece of fudge.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, the recipe is composed by:

Hence the number of calories in the recipe is given by:

6 x 99 + 0.5 x 12 + 4 x 389 + 4 x 145 = 2736.

There are 2736 calories in the fudge recipe.

For item b, the areas are given as follows:

Hence the piece of fugde is 1/64 of the recipe, thus:

1/64 x 2736 = 42.75 calories.

There are 42.75 calories in a 1-inch by 1-inch piece of fudge.

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Answer:

answer is =3

Step-by-step explanation:

2*100000000+10000000/7*10000*1000

=210000000/70000000

=3

The percentage of $99 to $70 is -29.29.The percentage change of $99 to $70 is decreases.

given that

the Andy's bank account went from $99 to $70.

The previous value is $99.

The new value is $70.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is generally represents by the percent sign, "%."

The most reliable indicator of percent change is the percent of growth or decrease. Calculations are frequently used to determine how much something has changed,

so the

change = original - new = $99 - $70 = -29

[tex]percentage = \frac{ - 29}{99} \times 100[/tex]

percentage = -29.29.

Hence,The percentage change of $99 to $70 is decreases.

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Answer: 50x+30y+5z= 690

              40x+15y+5z= 620

              45x+10y+5z= 510        

Step-by-step explanation: The first equation to find units of wood, the second is for the units of fabric, and the third is for the units of stuffing.

Points lines and plane together are the undefined teerms that provide the base for geometry . the definition must be a word whose meaning is accepted as intiutively clear as that meaning is accepted without definition this words are called undefined terms . Although these terms are not defined in a broad way it is used for defining other terms but a small description is needed .

POINTS is the most fundamental object in geometry just like cell is the basic unit of life . A point just looks like a dot and is named by a variable the objecive of the point is to represent a position only .It has zero size .

LINES A straight line can be a medium connecting a set of infinetly many points . it extends infinitely in opposite direction . It has infinte lenght , no widht , no height .The symbol ↔  denotes that line , a line can also be denoted with a smaller letter .

PLANES It is considered as a set of infinite points joining to form a flat surface extending in all directions infinetly it has undefined lenght widht and no height . A single capital letter is used to denote a plane .

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The equation that represents the cost C for membership for m months is:99.90+24.95m

The cost of a 2-year membership is $698.70

What makes up the total cost for membership for m months?

The fact that each member has to pay an enrollment fee and purchase key card for $79.95  and $19.95 respectively, means that the total fixed charge which is sum of both amounts is computed as shown below:

fixed charge=$79.95+$19.95

fixed charge=$99.90

variable cost per month=$24.95

total variable cost of m months=24.95m

C=99.90+24.95m

m=24(24 months=2 years)

cost of a 2-year membership=99.90+(24.95*24)

cost of a 2-year membership=$698.70

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