The ten digit of a two-digit number exceeds twice the units digit by 1. If the digits are reversed, the sum of the new number and the original number is 143. Find the original number.

Answer:

the two middle students are 63

Answer:

I think it's B

Step-by-step explanation:

Because the pattern starts at 7 then plus 3 etc...

The rate of change from 2015 to 2017 is -$250

The amount he spend for lunch in 2015 = $800

The amount he spend for lunch in 2017 = $300

Therefore the total change = The amount he spend for lunch in 2017 - The amount he spend for lunch in 2015

Substitute the values in the equation

= 300 - 800

= -500

The total years from 2015 to 2017 = 2 years

The rate of change from 2015 to 2017 = The total change / The total years from 2015 to 2017

= -500 / 2

= -$250

Hence, the rate of change from 2015 to 2017 is -$250

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Answer: it’s the square root of 10

Step-by-step explanation: I took this test

Answer:[tex]\sqrt{74}[/tex]

Step-by-step explanation:

The greatest number of cups of yogurt that Monica can buy is 14 cups

The amount that she has = $20

The cost of one gallon of milk = $2.50

The cost of one cup of yogurt = $1.20

Consider the number of cups of yogurt = x

Then the inequality will be

1.20x + 2 .50 ≤ 20

Solve the inequality and find the value of x

Subtract 2.50 from both side of the inequality

1.20 + 2.50 - 2.50 ≤ 20 - 2.50

1.20x ≤ 17.5

Divide both side of the equation by 1.20

1.20x / 1.20 ≤ 17.5 / 1.20

x ≤ 17.5 / 1.20

x ≤ 14.58

Hence, the greatest number of cups of yogurt that Monica can buy is 14 cups

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Answer: The answer is -2

Cindy's graph is a reflection of Brad's graph across the x - axis.

What is transformations of graph?

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.

Given:

Brad graphs the function y = |x-2|

Cindy graphs the function y=-|x-2|

If f(x) = |x - 2| and f(x) = - |x - 2|

Since, if the transformation of the graph is f(x) changes to -f(x) then there is reflection over x - axis.

Here y changes to -y.

Therefore, Cindy's graph is a reflection of Brad's graph across the x-axis.

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You have d dollars to buy fence to enclose a rectangular plot of land. the fence for the top and bottom costs $a per foot and for the sides it costs $b per foot.

To find the dimensions of the plot with the largest area.

Total Money = D dollars

Total cost for top and bottom fence = $4(2x)

Total cost for sides fence = $8(2y)

Hence total cost of fencing = 4(2x)+8(2y) = 8x+16y

C = 8x+16y

Given cost (c) = D dollars

D = 8x+16y

Now Area of the plot A = xy

A = xy is optimizing function and D = 8x+16y

= [tex](\frac{D-16y}{8})=x[/tex]

A = [tex]\frac{D-16y}{8}y[/tex]

For A to be maximum [tex]\frac{dA}{dy}=0[/tex]

A = [tex]\frac{D}{8}y-\frac{16}{8}y^{2}[/tex]

[tex]\frac{dA}{dy} = \frac{D}{8}-\frac{16}{8}(2y)[/tex]

[tex]\frac{dA}{dy} = \frac{D}{8}-4y[/tex]

[tex]\frac{dA}{dy} = 0 = \frac{D}{8}-4y=0[/tex]

[tex]\frac{D}{8} = 4y = y = \frac{D}{32}[/tex]

Now [tex]\frac{d^{2}A }{dy^{2}} = -4 = -ve number[/tex]

for y = [tex]\frac{D}{32}[/tex] area is maximum

[tex]x = \frac{D-16y}{8} = \frac{D-16 (\frac{D}{32} )}{8} = \frac{D}{16}[/tex]

Say the top and bottom dimensions are = [tex]\frac{D}{16}[/tex]

Sides dimensions are = [tex]\frac{D}{32}[/tex]

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Two column proof is as follows

Statement                              Reason

AB ≅ CB                                Given                  

AD ≅ CD                               Given

< BAD ≅ < BCD                     Given

< ABD = < CBD                      Definition of angle bisection

AB = CB                                 Definition of equality

BD = BD                                 Reflexive property of congruence

AD = DC                                 Definition of bisection

Δ ABD = Δ CBD                     SSS postulate of congruence

This is a method of proof that consists of five parts which include

The postulate says that when the three sides of the triangles under comparison are equal then the triangles under comparison are said to be congruent.

In the figure,

AB =CB, from the given sides

BD = BD sharing common sides

AD = CD line AC was bisected by line BD

This completes the SSS proof of congruence

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The level of marginal significance inside a statistical hypothesis test, or P-value, represents the likelihood that a particular event will occur.

P-value;

The likelihood of getting a result that is equivalent to or more extreme than what was actually seen, under the null hypothesis, is what is meant by the term "P value." The probability (P) indicator indicates the likelihood that any observed variation between groups is the result of chance.

Here,

The statistical test's extremely low p-value indicates that the null hypothesis must be accepted, and the conclusion that Gilbert is guilty is based on the fact that Gilbert's existence is dependent on the shift deaths.

Relevance of p-value to the trial;

The p-value evaluates the agreement between the trial's actual outcomes and the "pure chance" explanation for them. When the only differences between groups A and C are the result of chance, a p-value of 0.002 favoring group A very extremely seldom occurs.

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Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.

What is a fraction?

The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.

Main Body:

total time = 20 minutes + 40 minutes + 1 hour 30 minutes

                = 2.5 hours or 5/2 hours.

Hence total time for journey is 2.5 hours.

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The length of segment QC, using the Pythagorean Theorem, is of:

QC = 45 cm.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the length of the hypotenuse is obtained according to the equation presented as follows

[tex]h^2 = l_1^2 + l_2^2[/tex]

The length of QC is obtained considering that QC is a leg of a right triangle in which:

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's endpoints, thus the length of segment QB is given as follows:

QB = QD = 51 cm.

B is the midpoint of AC, hence the length of segment BC is given as follows:

BC = 0.5 x AC = 0.5 x 48 = 24 cm.

Hence the length of QC is obtained as follows:

QC² + 24² = 51²

QC = sqrt(51² - 24²)

QC = 45 cm.

The diagram is given by the image shown at the end of the answer.

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An equation is formed from two equal expressions. Carmen earns $390 for her 13 hours of tutoring.

Equation: An equation is created by equating two equations with an equal sign '='.

Let's say Carmen is earning $30 per hour of her tutoring her.

Therefore, the formula for Carmen's income after H hours of tutoring can be written as:

Income = hourly wage for individual instruction x number of hours

I = 30 × H

I = 30H

After 13 hours of tutoring, Carmen's income will be:

I = 30 (13)

I = 390

So, after 13 hours of tutoring, Carmen's income will be $390.

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Answer:32

Step-by-step explanation:

You plug in 5 for H and then you solve

Answer:

the answer to yo question is 4

Step-by-step explanation:

The total amount Bridget received from her mom will be $6 as she will get extra for cleaning before 6PM.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Here,

$5 for cleaning,

as she completed before 6 PM,

=5+20%*5

=5+1

=$6

Bridget's mother gave her $6 in total, with an additional $1 for cleaning before 6 o'clock.

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Answer:

15a

Step-by-step explanation:

6a+9a

We just add the coefficients together since they share the same variable

6+9=15

15a

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

3/4  + 6/10

= 15/20 + 12/20

=  27/20

For given 30 60 90 triangle, the values of the hypotenuse = 4 units and short side = 2 units

We know that, a 30 60 90 triangle is right triangle.

In right triangle the longest side is hypotenuse.

Here, hypotenuse = 4 units

The short side of triangle is the opposite to the side of smallest angle.

So, we need to find the length of the side opposite to angle 30.

Consider sin(30) = short side/hypotenuse

1/2 = short side/4

short side = 4/2

short side = 2 units

Therefore, for given 30 60 90 triangle, the values of the hypotenuse = 4 units and short side = 2 units

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Answer: the answer you chose was correct x+y <1000

                                                                       x=<75

Step-by-step explanation:

first they are selling 3 dollar and 4 doallar items to get above 1000 dollars

then they sayed at least 75 bags of hot chips so it has to be 75 or higher

The value of 9−(−12) as an addition expression is 3.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, the expression given is illustrated as:

-9 - (-12)

It's important to note that (-) × (-) = +

Therefore, -9 - (-12)

= - 9 + 12

= 3

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Answer:

[tex] a^\frac{5}{2} = \sqrt{a^5} = (\sqrt {a})^5 [/tex]

Step-by-step explanation:

A number raised to a fraction as an exponent means the number is raised to the numerator of the exponent, and then take the root shown by the denominator of the exponent.

For example, if the exponent is 2/3, raise the number to the 2nd power and take the third root.

Here is the definition:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m[/tex]

[tex] a^\frac{5}{2} = \sqrt{a^5} = (\sqrt {a})^5 [/tex]

Answer: The answer is b

Step-by-step explanation:    Please give me thanks and 5 star  

              Have Great Day   :)

The percentage decrease in Lora's screen time on phone is 25% this week.

Percentage related problems work around a certain reference value. This reference value is what the output percentage refers to when showing any growth or decay in the other value.

For this problem, last week's screen time is that reference value i.e. 920 minutes per week.

Now, current week's usage is 690 minutes per week. For calculating percentage decrease, we first find our the difference (in minutes).

[tex]Decrease=S_{1}- S_{2}=920-690=230[/tex]

Now, for its percentage we compare this value to our reference value i.e. last week's screen time. This will tell us about the decrease in screen time with reference to last week. This is what percentage does i.e. compares two sets of data.

[tex]Decrease=\frac{difference}{S_{1}}*100= \frac{230}{920}*100[/tex]

[tex]Decrease=25[/tex]%

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Answer:25

Step-by-step explanation:

The height of the rectangular prism  is 4x+2 unit.

What is  rectangular prism?

A rectangular prism's volume is a measurement of the entire interior volume. Consider a rectangular water-filled container. In this instance, the container's capacity is equal to the maximum amount of water it can hold. A polyhedron known as a prism has the same cross-section along its entire length, equal bases, and flat rectangular side faces. Based on the design of their bases, prisms are categorised. A rectangular prism is within the category of three-dimensional shape. The prism has six faces, all of which are rectangles.

Here the given volume of rectangular prism is,

=> V= 4[tex]x^3+22x^2+10x[/tex] cubic unit

And area of base B = [tex]x^2+5x[/tex] square unit.

Now volume of rectangular prism

=> V= area of base × height

=> 4[tex]x^3+22x^2+10x[/tex]  = [tex]x^2+5x[/tex] × height

=> Height = [tex]\frac{4x^3+22x^2+19x}{x^2+5x}[/tex]

=> Height = [tex]\frac{2x(2x^2+11x+5)}{x(x+5)}[/tex]

=>Height = [tex]\frac{2(2x^2+x+10x+5)}{x+5}[/tex]

=> Height = [tex]\frac{2(x(2x+1)+5(2x+1))}{x+5}[/tex]

=> Height = [tex]\frac{2(2x+1)(x+5)}{x+5}[/tex]

=>Height = 2(2x+1)

=> Height = 4x+2 unit .

Hence height of the rectangular prism is 4x+2 unit.

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Answer:

22 degrees

Step-by-step explanation:

Sum of all three angles of a triangle equal 180 degrees so we can add these angles and set it equal to 18” degrees to find x

x+16+120+x=180

2x+136=180

    -136.  -136

2x=44

/2.  /2

x=22

So angle b is 22 degrees

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The measure of the angle ∠Z is 38°.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are Y, X, and Z. The angle ∠F is congruent to the angle ∠X. The angle ∠E is congruent to the angle ∠Y. The measures of the angles ∠E and ∠X are 62° and 80°, respectively. We need to find the measure of the angle ∠Z. The measure of the angle ∠Y must be equal to the measure of the angle ∠E.

∠Y = ∠E = 62°

Now, in the triangle ΔYXZ, we will use the angle sum property. The sum of all the angles in a triangle is equal to 180°.

∠Y + ∠X + ∠Z = 180°

62° + 80° + ∠Z = 180°

∠Z = 180° - (62° + 80°) = 180° - 142° = 38°

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By using diagonal properties of square, we can prove the area of triangle as a².

A square is a flat object in geometry that has four equal sides and four right angles (90°). An equilateral rectangle is a specific sort of square, while a parallelogram is a special kind of square (an equilateral and equiangular one).

Prove: Area of square = a²

Suppose, there is a square of side length a.

Let, d be the length of each diagonal. We know, both diagonals of square have equal length.

So, d^2 = a^2 + a^2 = 2 * (a^2)

Or, d = a * (√2).

Also, we know that diagonals of a square are perpendicular bisectors.

So, we can consider that the square as four isosceles right angled triangles.

Length of each perpendicular side of every isosceles right angled triangle = (1 / 2) * d = (d / 2).

So, area of each isosceles right angled triangle = (1 / 2) * (d / 2) * (d / 2) = {(d^2) / 8}

Area of the square = 4 * {(d^2) / 8} = {(d^2) / 2}.

Since, d = a * √2; so we put in the above formula, the area becomes equal to that of (a^2).

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