After a 25% discount, the price of a T-shirt was $12. What was the price before the
discount?

Maggie brought 3 sandwiches to the picnic .

In the question ,

it is given that

Maggie bought oranges and sandwiches to a picnic .

given the number of oranges = 9

also given that , number of oranges was three more than twice the number of sandwiches

let the number of sandwiches Maggie brought to a picnic be x .

So , the number of oranges is = 2x + 3

So , 2x + 3 = 9

Subtracting 3 from both the sides ,

we get ,

2x = 9 - 3

2x = 6

On dividing both sides by 2,

we get ,

x = 6/2

x = 3

Therefore , the number of sandwiches = 3  .

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Answer:

Henry is correct

Step-by-step explanation:

add 4 to each sides of the equation

2x=16

Divide each side of the equation by 2

X=8

2x - 4 = 12

add 4 to both sides:

2x - 4 + 4 = 12 + 4

2x = 16

divide both sides by 2:

2x/2 = 16/2

x = 8

so Henry is correct.

Answer:

165.065% increase

Step-by-step explanation:

Answer:

Step-by-step explanation:

formula used= [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  

XY= [tex]\sqrt{(3-0)^2+(8-2)^2}[/tex] = [tex]\sqrt{9+36} =\sqrt{45}[/tex]  (here x1=0, x2=3, y1=2, y2=8)

YZ= [tex]\sqrt{(6-3)^2+(2-8)^2}[/tex] = [tex]\sqrt{9+36} = \sqrt{45}[/tex]

ZX= [tex]\sqrt{(6-0)^2+(2-2)^2}[/tex] = [tex]\sqrt{36+0} = \sqrt{36}[/tex]

as you can see side XY=YZ=45

so triangle XYZ is an isosceles triangle

hope this helps :)

Answer:

1536 p

Step-by-step explanation:

6 2/5  kg  /  ( 2/3  kg/160 p)   = 1536 p

The area of a rectangle with length of 4 ft. and width of 9 ft. is 36 ft²

An equation is an expression that shows the relationship between two or more numbers and variables.

The area of a figure is the amount of space occupied in a two dimensional shape or object.

The area of a rectangle is the product of its length and width. Hence:

Area = length * width

From the diagram:

Area = 4 ft. * 9 ft. = 36 ft²

The area is 36 ft²

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Answer:

Perimeter: 26 ft

Step-by-step explanation:

To find perimeter, you add all the side measurements together.

Since the left side (4 ft) is congruent to the right, the right side is also 4 ft. Add both and you get 8 ft.

Since the bottom side (9 ft) is congruent to the top, the top side is also 9 ft. Add both and you get 18 ft.

8 + 18 = 26

So the perimeter is 26 ft.

From given tables the first and third function are linear functions, and second and third function are non linear.

What is linear and non linear function?

When plotted on a graph, a linear function produces a straight line. Therefore, any non-linear functions are those that are functions. The simplest way to identify if a function is linear or non-linear is probably by graphing it, but we can also discover if a function is linear by looking at its input/output table or equation.

To check the given functions are linear or not first we have to check that the functions having constant rate of change or not.

Since, Rate of change = [tex]\frac{f(b) - f(a)}{b-a}[/tex]

For the first function,

Rate of change = [tex]\frac{10-5}{2-1}=\frac{15-10}{3-2}=\frac{20-15}{4-3}=5[/tex]

The rate of change is constant.

For the last function,

Rate of change = [tex]\frac{20-35}{0+1}=\frac{5-20}{1-0}=\frac{-10-5}{2-1}=-15[/tex]

The rate of change is constant.

The rate of change for second and third function is not constant.

Hence, the functions first and last are linear and the functions second and last are non linear.

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Margin of error for the 95% confidence interval used to estimate the population proportion is 0.0187

It is given that out of 2300 tv viewers, 690 said they watch network news program.

Sample n=2300

Number that watch network program (x)=690

We now find the margin error:

For 95% confidence interval, z-value is 1.96 from Chi-square distribution

We now get the point estimate, p:

p=x/n, where x=690, and n=2300

 =690/2300

 =0.3

Margin of Error=[tex]z*\sqrt{\frac{p*(1-p)}{n} }[/tex]

                        [tex]=1.96*\sqrt{\frac{0.3*(1-0.3)}{2300} }[/tex]

                        =0.0187

Hence, the margin error is 0.0187

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Answer:

 [tex]\$26.25[/tex]

Step-by-step explanation:

Price of 10 pounds of dog food is= $17.50

Price of  1 pounds of dog food is= [tex]\$\frac{17.50}{10}[/tex]

This implies that price of 15 pounds of dog food is=[tex]\$ \frac{17.50}{10}\times 15[/tex]

Simplifying this, we obtain:

This implies that price of 15 pounds of dog food is= [tex]\$26.25[/tex]

The inequality for the given graph is y ≥ - 3x + 4.

The act of illustrating which area of the number line has values that would "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The values that may be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.

A graphed system of inequality problems on a coordinate plane. Each axis on the x and y axes scales by two. Between the coordinates zero, two, and three, zero, there is a solid line that represents an inequality. The area for the disparity that is shaded is below the line.

First of all, we saw from the graph that the line is not dotted. So, we will use the signs ≥ or ≤.

Now find the slope

From the graph, consider

(x₁, y₁) = (0, 4)

(x₂, y₂) = (1, 1)

So, slope = (y₂ - y₁) /(x₂ -x₁)

= (1 - 4)/(1 - 0)

= - 3

The y-intercept is given as

y = mx + b

4 = -3 (0) + b

b = 4

So, the equation is

y= - 3x + 4

From the graph, the shaded region is above the line. So, inequality will be

y ≥ - 3x + 4

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The shape of the shed and the process for arriving at the solution of the word problem are as follows;

a. The number of walls in the shed are 8 walls and the shape of the shed is an octagon

b. The amount Mary has budgeted for the storage shed is divided by the unit cost of a panel and one bracket for joining the bracket to find the number of panels, which indicates the shape of the shed Mary builds.

c. The door is assumed to cost the same as one panel

A word problem is an exercise in math or science that consists of the background information to the problem being introduced using everyday language rather that mathematical equations.

Parts of the question information obtained from a similar question online includes;

The number of walls Mary wants = As most as possible

The cost of the panels = $0.89 per square foot

Cost of the brackets for joining the panels = $6.50

Her budget for the wall of the shed = $500

a. The number of walls Mary will be able to build is found as follows;

The cost of each rectangular wall panel = 7 ft × 8 ft × $0.89/ft² = $49.84

The cost of a panel and a bracket = $49.84 + $6.50 = $56.34

The number of panels in the shed, n = The ratio of her budget to the cost of a panel and bracket

[tex]n =\dfrac{\$500}{\$56.34} \approx 8.87[/tex]

The number of panels in the shed she will be able to build with her budget is 8 panels

The shape of the storage shed she can build is an octagon

b. The solution process is to find the cost of a unit of material which is the cost of a panel and a bracket, then dividing the budget by the unit cost to find the number of panels in the shed.

The number of panels indicates the polygon she forms by the shed

c. The assumption made is in the cost of the door, which is assumed to cost the same as a panel and a bracket

The parts of the complete question are;

a. The number of walls the shed can have within Mary's budget, and what shape is the storage shed

b. Provide a description of the process of finding a solution

c. The assumptions made

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Answer:

lmfa you answer my questions i recently posted ill answer yours.

Step-by-step explanation:

kk

What is the solution to each equation? Show both positive and negative

solutions.

A. x² = 25

x = -5 or 5

_________________________________

B. 3x² = 48

divide both sides by 3:

3x²/3 = 48/3

x² = 16

x = -4 or 4

Answer:

2 4/7 is the correct answer

Answer:    

Step-by-step explanation:

7x2=14=2

18-14=4

So 18/7 equals 2 4/7

[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan(x )+cot(x )~~ = ~~\cfrac{1}{sin(x )cos(x)} \\\\[-0.35em] ~\dotfill\\\\ tan(x )+cot(x )\implies \cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)} \\\\\\ \cfrac{sin^2(x)+cos^2(x)}{sin(x )cos(x)}\implies \cfrac{1}{sin(x )cos(x)}[/tex]

The total number of water stations is 30.

Given:

A race is 36.9 miles long. There is a water station every 1 23/100 miles along the race route.

Total number of water stations = 36.9/1 23/100.

= 36.9/100+23/100

= 36.9/123/100

= 36.9/1.23

= 369/10/123/100

= 369*100/123*10

= 369*10/123

= 3*10

= 30.

Therefore the total number of water stations is 30.

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Hailey's estimation is reasonable, because she can make 25 centerpieces using 430 flowers

Number of flowers in each centerpieces = 17 flowers

The total number of flowers that she has = 430 flowers

She estimates that she can make between 20 and 30 complete centerpieces

Number of centerpieces that she can make = The total number of flowers that she has / Number of flowers in each centerpieces

Substitute the values in the equation

Here we have to use division

Number of centerpieces that she can make = 430 / 17

= 25.29

≈ 25 centerpieces

Hence, Hailey's estimation is reasonable, because she can make 25 centerpieces using 430 flowers

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Answer: x=195

Step-by-step explanation:

Find the value of 10²: 10² =100

Divide 19,500÷100: 19,500÷100=195

Missing factor is 195

Option D is the correct answer, The expression which will give her the total volume of all the pans is: (7^2 × 2) × 4.

What do you mean by volume?

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Various forms have various volumes. We have examined the numerous three-dimensional solids and shapes, such as cubes, cuboids, cylinders, cones, etc., in three-dimensional geometry.

Cubic units are used to quantify a solid's volume. For instance, the volume will be given in cubic meters if the dimensions are given in meters. The International System of Units uses this as the reference unit for volume (SI). Cubic meters, cubic feet, cubic inches, etc. are additional volume units.

The formula in the parenthesis calculates the volume of a single pan, which is then multiplied by the total number of pans, which is four. This will provide the volume of each of the four pans.

Therefore, the expression becomes as (7^2 × 2) × 4.

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The image point of the given parent point (-8,-6) after the transformation R 90° and T-4,-4 is (10, -12).

For the given question.

Let the given point be;

P --> (-8, -6)

Translation the function by  T-4,-4.

P'--> (-8 - 4, - 6-4)

P'--> (-12, - 10)

Now, rotation the function by 90 degrees.

The new coordinates be-

P' (x, y) ----> P''(-y, x)

P''(-y, x) = (10, - 12)

Thus, the image point of the given parent point (-8,-6) after the transformation R 90° and T-4,-4 is (10, -12).

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who are the potential candidates for entrepreneurship

Slope intercept form is y = mx + b

Y = the y-value [ for example, in the pair (9, 8), 8 would be the y-value

M = slope [ to find slope, use the equation (y2-y1)/(x2-x1) ]

X = the x-value [ for example, in the pair (9, 8), 9 would be the x-value

B = the y-intercept; when x is 0, whatever y is, that's your y-intercept

Now that you know what the variables mean, plug them into your equation.

The required length of the diagonal  AC is given as 56 units.

Given that,
In parallelogram ABCD, diagonals AC and BD intersect at point E, AE = 7x -21, and CE = 4x.

A parallelogram is a quadrilateral consisting of pairs of parallel sides.

Here,
in a parallelogram, diagonals bisecting each other means that a diagonal intersects another diagonal at a midpoint.
So,
AE = CE
7x - 21 = 4x
x = 7
Now,
CE = 4 {7} = 28
AC = 28 + 28 = 56

Thus, the required length of the diagonal  AC is given as 56 units.

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Answer:56

Step-by-step explanation: TRUST ME

Answer:

47

Step-by-step explanation:

Answer:

457

Step-by-step explanation:

190 + 267 = 457

11) The pre-image, R at the point (-2, 3) on the grid shown produces an image following the reflection across the line y = 2·x - 3 as follows;

I. The line [tex]\overline{RR'}[/tex] which is obtained from the image R' following a reflection across the line y = 2·x - 3, is perpendicular to the line y = 2·x - 3, because the points R and R' are vertically opposite each other, therefore, the slope is the negative inverse of the slope of y = 2·x - 3, which is -0.5

II. Please find attached the graph made using MS Excel showing the points R and R'

A reflection transformation is one in which a point is reflected across a line such that the distances of the image and the pre-image from the line are the same and the line acts like a mirror producing an image of the object.

The coordinates of point R = (-2, 3)

The equation of the line of reflection is; y = 2·x - 3

The coordinates of the image of a point, (x₁, y₁) reflected across a line, a·x + b·y + c = 0, is found as follows;

The image of is found using the formula;

[tex]\dfrac{x - x_1}{a} =\dfrac{y-y_1}{b} = -\dfrac{2\cdot (a\cdot x_1+b\cdot y_1+c)}{a^2+b^2}[/tex]

The equation, y = 2·x - 3, can be expressed in the form a·x + b·y + c = 0, as follows;

y = 2·x - 3

0 = 2·x - 3 - y

Therefore;

a = 2, b = -1, and c = -3

(x₁, y₁) = (-2, 3)

[tex]\dfrac{x - (-2)}{2} = -\dfrac{2\times (2\times (-2)- 3-3)}{2^2+(-1)^2}=4[/tex]

[tex]\dfrac{x +2}{2} = 4[/tex]
x = 2× 4 - 2 = 6

x = 6

[tex]\dfrac{y-3}{-1} = 4[/tex]

y = 4 ×(-1) + 3 = -1

The coordinates of the image, (x, y) = (6, -1)

The slope of the line is -(1/2)

The equation of the perpendicular line is therefore;

(y - 3) = -0.5·(x - (-2)) = -0.5·x - 1

y = -0.5·x - 1 + 3 =  -0.5·x + 2

Equation of the perpendicular line through R; y = -0.5·x + 2

The intersection point is therefore;

-0.5·x + 2 = 2·x - 3

2.5·x = 5

x = 5 ÷ 2.5 = 2

y = 2×2 - 3 = 1

y = 1

The point is therefore, (2, 1)

The difference in the x-values = 2 - 2 = 4

The difference in the y-value = 1 - 3 = -2

Therefore, 4 is added to the x-value of the point (2, 1) and 2 is subtracted to get the image as follows;

(x, y) = (2 + 4, 1 - 2) = (6, -1)

The slope of [tex]\overline{RR'}[/tex] = (3 - (-1))/(-2 - 6) = -0.5

b. Graphically, the equation of the line [tex]\overline{RR'}[/tex] can be used to find the point R', by adding the horizontal distance and subtracting the vertical distance of the point R from the the point of intersection of the two lines.

Please find attached the graph showing R and the image R' created with MS Excel.

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The sampling distribution of the sample mean will always have the same the mean of the original non-normal distribution, as the original distribution.

What is distribution?

Each of these samples contains a mean, and if we add up all of the means, we can construct a probability distribution that explains the distribution of the means. As long as we have sufficient samples, as will be discussed later, this distribution is always normal and is referred to as the sampling distribution of the sample mean.

Since the sample mean's sampling distribution is normal, we can naturally calculate the distribution's mean and standard deviation and utilise that information to analyse probability questions.

Here, The sample variance is equal to the population variance divided by the sample size if the population is infinite and the sampling is random, or if the population is finite but we are sampling with replacement.

So we need to use the mean of non-normal distribution.

Hence the answer will be the mean of the original non-normal distribution.

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Answer:

  x ≈ 30.8

Step-by-step explanation:

You want the value of x if the measure of an interior angle of a regular octagon is (4x +12)°.

The sum of interior angles of an n-gon is 180°×(n -2), where n is the number of sides. An octagon has 8 sides, so the sum of angles is ...

  180°×(8 -2) = 1080°

The angles of a regular n-gon are congruent, so one interior angle of a regular octagon is ...

  1080°/8 = 135°

The given angle expression is equal to 135°, so we have ...

  (4x +12)° = 135°

  4x = 123 . . . . . . . divide by ° and subtract 12

  x = 30.75 . . . . . . divide by the coefficient of x

The value of x is about 30.8.

Answer:

Step-by-step explanation:

Решение:

[tex](3x)^2+24x-24=0\\\\ \bold{(3x)^2+2\cdot3x\cdot4+4^2}-4^2-24=0\\\\(3x-4)^2-16-24=0\\\\\large\text{$\bold{(3x-4)^2-40=0}$}[/tex]