What is x in this equation .3=.5x-.7

The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

[tex]|\frac{1}{4}x+2 | -3=5[/tex]

Solving the equation:

[tex]or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32[/tex]

Now we take the two separate values of x:

either x=-8+32 or x=-8-32

or,x=24 or x=-40

The value of x is 24 and - 40.

To learn more about number line:

https://brainly.com/question/24644930

#SPJ9

Answer:

(-1.5,0)

Step-by-step explanation:

Find the average for the x and y values.

x = [tex]\frac{(-5+ 2)}{2}[/tex] = [tex]\frac{-3}{2}[/tex] or  -1.5

y = [tex]\frac{(5- 5)}{2}[/tex]  = [tex]\frac{0}{2}[/tex] = 0

Answer:

(D)

Step-by-step explanation:

Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.

We are to select the inequality that represents the situation.

We have

total amount of money that Kendra spends on lettuce is given by

and the total amount of money that she spends on tomatoes is

Therefore, the inequality can be written as

Thus, option (D) is CORRECT.

Answer:

Step-by-step explanation:

[tex]\frac{x}{y} 6x+58\\(x+3)(x+8)\\[/tex]

Answer:

Absolute value is the distance from 0 all negative numbers become positive and positive stays positive.

Step-by-step explanation:

Answer:

Any line with a slope of -5/8 would be parallel to this line.

Step-by-step explanation:

First write this in the slope intercept form of a line

y = mx + b.  The number before the x will be the slope.

5x + 8y = 24  Subtract 5x from both sides of the equation

8y = -5x +24 Divide everything by 8

y = -5/8x + 3

If a bedroom (14 ft by 12ft) and hallway (8ft by 3ft) are getting new wood flooring. Wood flooring is priced at $6.20 per square foot. The amount it will cost to add the wood flooring is: $1,190.40.

First step is to calculate the bedroom square feet

Bedroom square feet=14ft ×12ft

Bedroom square feet= 168 sq feet

Second step is to calculate hallway square feet

Hallway square feet=8ft × 3ft

Hallway square feet=24 sq feet

Third step is to calculate the total square feet

Total square feet=168+24

Total square feet=192

Fourth step is to calculate the cost

Cost=$6.20× 192

Cost= $1,190.40

Therefore the amount it will cost to add the wood flooring is: $1,190.40.

Learn more about cost price here:https://brainly.com/question/1153322
#SPJ1

The amount of money Robert has left given the amount he started with and after deducting tax is approximately $7.34

Tax can be defined as the compulsory levy paid by citizens of a particular country on their income, goods and be services.

Amount of tax = Tax rate × Amount Robert spent before tax

= 7.25% × $30.45

= 7.25/100 × 30.45

= 0.0725 × 30.45

= $2.207625

Total amount Robert spent = Amount Robert spent before tax + Amount of tax

= $30.45 + $2.207625

= $32.657625

Amount Robert has left = Amount Robert started with - Total amount Robert spent

= $40 - $32.657625

= $7.342375

Approximately,

$7.34

Therefore, the amount Robert has left after deducting tax is $7.34

Read more about tax:

https://brainly.com/question/9437038

#SPJ1

Answer:

y=24x-53.

Step-by-step explanation:

1) the slope-interception view of the required tangent line is

y=slope*x+interception;

2) y'=3x²-3;

3) slope=y'(3), then slope=3*3²-3=24;

4) the required equation of tangent line has the form

y=24x+interception;

5) to calculate the interception it is needed to substitute the given coordinates (3;19) into this equation:

19=24*3+interception; ⇒ interception=-53;

6) finally, the required equation is y=24x-53.

The equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].

A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.

For calculating the slope, the formula used is [tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }[/tex]

From the graph we see that the points are (4,0) and (0,-1).

Substituting the points in the formula,

[tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }\\m=\frac{-1-0}{0-4} \\m=\frac{-1}{-4} \\m=\frac{1}{4}[/tex]

We know that, the equation of a line in point slope form, where (x₁, y₁) is the point and slope m is:

(y – y₁) = m(x – x₁)

Here, (x₁, y₁)= (4,0)

Substitute the value of m and any coordinate into the formula y−y₁=m(x−x₁)

[tex]y-0=\frac{1}{4} (x-4)\\y=\frac{1}{4} x-1[/tex]

Therefore, the equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].

To learn more about the slope intercept form, visit:

https://brainly.com/question/9682526

#SPJ9

The equation of line is y=-9x-69.

To solve this problem we need to know the concept of slope of line and equation of straight line.

Writing the standard form of line is in the form of y= mx+ c where m is the slope of line.

And we also know that the product of slope of a line perpendicular to the line is equal to -1.

Let us assume that the slope of required line is m'

So, m' × 9 = -1

  ⇒ m'= -9

Now, the equation of line will be;

   [tex](y-3)=-9(x+8)[/tex]

⇒ y-3=-9x-72

⇒ y=-9x-69    is the standard equation of line perpendicular to the given line y=9x-8.

To learn more about the equation of line visit the link:

https://brainly.com/question/2564656

#SPJ9

The slope of Line 1 is m = -2

The slope of Line 2 is m = -2

For Line 1;

(x₁, y₁) = (1, 1);

(x₂, y₂) = (-2, 7);

m₁ = (7-1)/(-2-1) = -2;

For Line 2;

(x₃, y₃) = (-1, 4);

(x₄, y₄) = (1, 0);

m₂ = (4-0)/(-1-1) = -2;

To learn more about this; visit: https://brainly.in/question/49507300

#SPJ9

Answer:

Flying Disc should be 72

Step-by-step explanation:

circumference = πd

HD Coin    C = 3π

                  9.42477796077

Flying Disc.  C = 23π
                      72.2566310326

Jar Lid      C = 8π

                  25.1327412287

Flower Pot     C = 15π

                        47.1238898038

Answer:

Step-by-step explanation:

127.63

The solution of the function f(x) = 13 is x= 3

According to the question we have been the function f(x), that i s

   f(x) = x² + 4

We need to find the value of x where we have been given that

  f(x) = 13

Therefore, we will put the required value of function f(x) in the above condition we get

 x² + 4 = 13

Subtracting 4 both the sides we get,

 x² + 4 - 4 = 13 - 4

 x² = 9

Taking square root both sides we get,

√x² = √9

  x = 3

Hence the value of x is 3.

Learn more about function here : https://brainly.com/question/20384115

#SPJ9

The probability of the volume of water being over 90 ml is 24.10%.

For the given question;

The mean of the sample is; μ = 62 ml.

The standard distribution is; σ = 40 ml.

The probability of the values must lie more than 90 ml.

Thus,

P(x > 90) = P[ (x - μ)/ σ ]

Substitute the values;

P(x > 90) = 1 -  P[ (90 - 62)/ 40]

P(x > 90) = 1 - P[0.7]

P(x > 90) = 1 - 0.758

P(x > 90) = 0.2410

P(x > 90) = 24.10%

Therefore, the probability that the  the volume of water will be greater than 90 ml is 24.10%.

To know more about the standard normal distribution, here

brainly.com/question/4079902

#SPJ9

Answer:

1 us dollar =0.84 euros so,400 us dollar =084x400 so, she will receive 336 euros in exchange.

Answer:

The length of AC is 15 units

Step-by-step explanation:

Answer:factors

Step-by-step explanation:

Answer:

  73 pages

Step-by-step explanation:

You want the number of pages required to hold 583 cards when each page will hold 8.

The number of pages required is ...

  (583 cards)/(8 cards/page) = 72 7/8 pages

The least integer greater than this number is 73

The number of pages needed to store 583 cards is 73.

Answer: [tex]\boxed{y=\frac{2}{5} x-7}\ as\ an\ example[/tex]

Step-by-step explanation:

Find the slope-intercept form:

[tex]2x-5y=30\\\\-5y=-2x+30\\\\y=\frac{-2x+30}{-5} \\\\y=\frac{2}{5} x-6[/tex]

Therefore the slope is 2/5

An example of a line parallel to this line is

[tex]y=\frac{2}{5} x-7[/tex]

A straight line that divides a given angle between two equal angles is referred to as an angle bisector. The following are the steps to constructing a bisector of angle BAC:

Construction with a straightedge and a set of compasses is a method for constructing lengths, angles, and other geometrical figures. It is also known as ruler-and-compass construction or classical construction.

To know more about compass construction visit:

https://brainly.com/question/24810739

#SPJ9

The area of the drawing of the park is 64 cm²;

Scale: Square park to Drawing = 5m:1cm

                                                 = 5m:0.01m;

Therefore; Square Park Area = 1600m²;

                 Drawing Area = 1600 ×(0.01/5)²

                                        = 0.0064m² = 64 cm²

To learn more about this; visit: https://brainly.com/question/22797576

#SPJ9

Answer:

x=+2√7

Step-by-step explanation:

Answer: 77 yd^2

Step-by-step explanation:

S=Area of Square. s=side length of square. w=width of rectangle

l=length of rectangle. R=Area of Rectangle

S=s^2

S=7^2

S=49 yd^2

R=l*w

R=9*14

R=126 yd^2

R-S=

126-49=77 yd^2

1) Yes, because each value of x maps onto only one value of y.

2) No, because the x-value of 1 maps onto 4 different y values.

Answer:

Step-by-step explanation:

You want to know if the given sets of ordered pairs represent a function.

A function is a relation that maps an input value to a single output value. On a graph, this means no two points are vertically aligned. For a table or set of ordered pairs, it means no input (x) value is repeated.

The input (x) values are {-1, 0, 1, 2} with no repeats. This relation is a function.

The input values are {1, 1, 1, 1} with repeats. This relation is not a function.

[tex]{ \orange{ \tt{k = 1}}}[/tex]

Step-by-step explanation:

-2 = k+7/3

cross multiply 3 with -2 then,

-6 = k+7 (OR) k+7 = -6.

k = -6+7

k = 1.

The triangles that have an area of 10 square units are triangles A and B

The area of a triangle is calculated using

Area = 0.5 * Base * Height

Triangle 1

Base = 5

Height = 4

So, we have

Area = 0.5 * 5 * 4

Area = 10

Triangle 2

Base = 4

Height = 5

So, we have

Area = 0.5 * 5 * 4

Area = 10

Triangle 3

Base = 5

Height = 5

So, we have

Area = 0.5 * 5 * 5

Area = 12.5

Hence, the triangles that have an area of 10 square units are triangles A and B

Read more about areas at:

https://brainly.com/question/19819849

#SPJ1