What is the solution to 2x2+x+2 = 0?

Answer:

There are 4 chairs in one row.

Step-by-step explanation:

Let [tex]$ x $[/tex] be the number of chairs in one row.

That is the length of one row.

Now, from the given data, three rows of length 3x can be formed with one chair left.

Or, if 15 extra chairs given, we can form 7 rows of the same length.

This means that there are [tex]$ 3x + 1 $[/tex] chairs in the first case. And since with 15 extra chairs we can form 7 rows, the equation would be

[tex]$ (3x + 1) + 15 = 7x $[/tex]

Solving this for '[tex]$ x $[/tex]', we get:

[tex]$ 3x + 16 = 7x $[/tex]

[tex]$ \implies 4x = 16 $[/tex]

[tex]$ \implies x = 4 $[/tex]

Therefore, the length of each row is four.

That is, there are four chairs in one row.

Answer:

Exact form : x = 16/15

Decimal form : x=1.06666666666...

Mixed Number form : x=1 1/15

Step-by-step explanation: Move all term that don't contain x to rightside and solve.

Hope this helps you out.

Answer:

A classroom of 24 students will go on a field trip to a museum. Each student pays $8 to go. So far, 15 of the students have paid to go. How much money, x, will be collected from all 24 students?

Answer:

8 1/3

Step-by-step explanation:

To write an improper fraction as a mixed number,

we divide the denominator into the numerator.

My work is attached below.

58.....2wt.r3y2teyt3y2.te.32ty.32tye.t32y.tey32t..enkuuhuh

Answer:

The best could describe Anita's race from minute 3 to minute 5, She was standing, not moving, she could have been in an accident.

Step-by-step explanation:

See the attached figure.

As shown in the figure, we can note that the distance from minute 3 to minute 5 is constant which is equal to the distance at minute 3.

So, the average distance from minute 3 to minute 5 will be zero and hence the speed of Anita will be zero

So, From minute 3 to minute 5, She was standing, not moving.

Note: speed of Anita from minute 3 to minute 5

= ( distance difference) / (time difference) = zero / (5-3) = 0/2 = 0

To describe the race from minute 3 to 5, analyze the graph paying attention to the x and y axis and the slope of the curve. A straight line suggests constant speed, an upward line implies acceleration, and a downward line denotes deceleration.

To describe Anita's race from minute 3 to minute 5, we need to analyze the provided graph which depicts the distance from the start as a function of time for both racers. In this case, we do not have the actual graph so it's important that when you are presented with a graph you pay attention to the

x and y axis

, which in this instance are time and distance. It's vital to also look at the slope of the curve during those minutes 3 to 5 for Anita. If it's a straight line, it means Anita was biking at a

constant speed

. If the line is going upward, Anita was accelerating, and if the line is going downward, she was decelerating. Without the graph itself, it's hard to provide a definitive answer. But the basic method of reading the graph will help you understand the function of time and distance in the context of a race.

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Answer:

c

Step-by-step explanation:

c

Answer:

Step-by-step explanation:

2(5x - 1) - (2x - 5) =

10x - 2 - 2x + 5 =

8x + 3 <===

Answer:

(1) 9.106 cm

(2)  49.612 inches

Step-by-step explanation:

Answer:

1. C =9.106 cm              2.C =49.612 inches

Step-by-step explanation:

To solve these problems, we will follow the steps below;

First write down the formula for calculating the circumference of the circle

C= 2πr

where c is the circumference of the circle    and r is the radius of the circle

1) From the question diameter = 2.9 cm, but radius is half of the diameter, this implies that radius = [tex]\frac{d}{2}[/tex]= [tex]\frac{2.9}{2}[/tex]=1.45 cm  

We can now proceed to insert the values into the formula;

C= 2πr

   = 2×3.14×1.45

   =9.106 cm

C =9.106 cm

2) From the question, radius = 7.9 inches and π=3.14

We can now go ahead to insert the values into the formula  C= 2πr

C = 2×3.14× 7.9

    =49.612 inches

C =49.612 inches

A customer will pay $10.59, including sales tax, for a pair of sunglasses.

Step-by-step explanation:

Given,

Purchase price of sunglasses = $5.50

Mark up = 80%

Amount of mark up = 80% of purchase price

Amount of mark up = [tex]\frac{80}{100}*5.50=0.80*5.50[/tex]

Amount of mark up = $4.40

Retail price = Purchase price+mark up

Retail price = 5.50+4.40 = $9.90

Sales tax = 7% of retail price

Sales tax = [tex]\frac{7}{100}*9.90=0.07*9.90[/tex]

Sales tax = $0.69

Total paid by customer = retail price + sales tax

Total paid by customer = 9.90 + 0.69 = $10.59

A customer will pay $10.59, including sales tax, for a pair of sunglasses.

Keywords: addition, percentage

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Answer:

[tex]12-c[/tex]  Cookies

Step-by-step explanation:

The question is to find how many cookies did Cindy receive (write as an expression)?

Total cookies baked = 96

If evenly divided among 8 grandchildren, each would get:

[tex]\frac{96}{8}=12[/tex]

Each grandchildren would have gotten 12 cookies

Now, Cindy received "c" fewer than this (12), so Cindy received:

12 - c  Cookies

Cindy Received = 12 - c  Cookies

Answer:

96/8 - c.

Step-by-step explanation:

She is divideing among the grandkids so it would be 98/8-c

Answer:

[tex]AB=9\sqrt{3}\ units[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

The cosine of angle of 30 degrees is equal to divide the adjacent side to angle of 30 degrees by the hypotenuse

so

[tex]cos(30^o)=\frac{AB}{AC}[/tex]

we have

[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]

[tex]AC=18\ units[/tex]

substitute

[tex]\frac{\sqrt{3}}{2}=\frac{AB}{18}[/tex]

solve for AB

[tex]AB=(18)\frac{\sqrt{3}}{2}[/tex]

[tex]AB=9\sqrt{3}\ units[/tex]

Answer:

T

Step-by-step explanation:

Answer:

15a)  True 15b) False 15c) True

16)[tex]\frac{4*2}{5*2}=\frac{8}{25}=\frac{4*3}{5*3}=\frac{12}{15}[/tex]

[tex]\frac{5*2}{6*2}=\frac{10}{12}=\frac{5*3}{6*3}=\frac{15}{18}[/tex]

Step-by-step explanation:

*Rewriting the question with Retrieved missing information:

15. Mr. Clements painted his barn for hours in the morning. He painted  his barn [tex]3\frac{3}{5}[/tex] hours in the morning. He painted the barn for [tex]5\frac{3}{4}[/tex] hours in the afternoon.Select True or False for each statement.

15a. A common denominator of the mixed numbers is 20.

15b. The amount of time spent painting in the morning can be rewritten as [tex]3\frac{15}{20}[/tex]

15c. Mr. Clements spent [tex]2\frac{3}{20}[/tex]

hours longer painting in the afternoon than the morning.

16. Tom exercised:

[tex]\frac{4}{5}[/tex]

hour on Monday and

[tex]\frac{5}{6}[/tex]

hour on Tuesday. Part A. Complete the calculations below to write equivalent fractions with a common denominator.

15a)  True

Turning the Mixed Numbers into Improper ones:

He painted the his barn:

[tex]3\frac{3}{5}=\frac{18}{5}[/tex] Keep the denominator, and for the numerator multiply the denominator 5 by 3 and add 3 = 18. (In the morning).

[tex]5\frac{3}{4}=\frac{23}{4}[/tex] (In the afternoon)

The Prime factorization [tex]\frac{23}{4},\frac{18}{5}[/tex] help us to obtain the common denomination, i.e. 20

15b) False

This is a matter of simplification. In this mixed number, the fraction can be simplified this way:

[tex]3\frac{15}{20}=3\frac{15:5}{20:5}\Rightarrow 3\frac{3}{4}[/tex]

15c) True

Subtracting the working hours, knowing the common denominator by prime factorization is 20.

For Mixed Numbers:

[tex]5\frac{3}{4}-3\frac{3}{5}=5\frac{15}{20}-3\frac{12}{20}=2\frac{3}{20}[/tex]

For the same mixed numbers turned into improper fractions:

[tex]\frac{23}{4}-\frac{18}{5}=\frac{115-72}{20}=\frac{43}{20}[/tex]

Notice that:

[tex]2\frac{3}{20}==\frac{43}{20}=2.15[/tex]

16A

Equivalent fractions are fractions multiplied by a same constant, on the numerator and denominator:

[tex]\frac{4*2}{5*2}=\frac{8}{25}=\frac{4*3}{5*3}=\frac{12}{15}[/tex]

[tex]\frac{5*2}{6*2}=\frac{10}{12}=\frac{5*3}{6*3}=\frac{15}{18}[/tex]

15a is False as a common denominator isn't clear; 15b is False because the time in the morning is undefined; 15c is True assuming the morning was 3 hours. 16 needs further clarification.

So, correct answer is 15a. False   15b. False   15c.True

Answer:

396.584

Step-by-step explanation:

just move the decimal right 2 spaces when multiplying by 100

Answer:

396.584

Step-by-step explanation:

For this case we assume that the initial amount of money is $20.

So:

[tex]\frac {1} {5} (20) = 4[/tex]

[tex]\frac {3} {8} (20) = 7.5[/tex]

[tex]\frac {2} {7} (20) = 5.71[/tex]

Adding we have:

[tex]4 + 7.5 + 5.71 = 17.21[/tex]

Ken has:

[tex]20-17.21 = 2.79[/tex]

Answer:

Ken can spend what he planned and he has $2.79 left.

Answer:

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Step-by-step explanation:

There are 59 eggs in the basket

Step-by-step explanation:

There are between 50 & 60 eggs in a basket

We need to find how many eggs in the basket

∵ When Roza counts by 3's there are 2 leftover

∵ When she counts by 5's there are 4 leftover

- That means the number of eggs when divided by 3 give

  remainder 2 and when divided by 5 give remainder 4

- To find the number look for the numbers that divisible by 5 and

  add 4 to them and then check the remainder when they divided

  by 3

∵ Between 50 and 60 there is only one number divisible by 5

  is 55 (not including 50 or 60)

∵ 55 + 4 = 59

∴ 59 gives remainder 4 when divided by 5

Let us check them with 3

∵ 59 - 2 = 57

∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)

∴ 59 when divide by 3 gives remainder 2

∴ 59 gives remainder 4 when divided by 5 and remainder 2 when

  divided by 3

∴ The number of eggs in the basket is 59

There are 59 eggs in the basket

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Let...

x=ones digit

x-3=tens digit

The number in terms of x would be...

10(x-3)+x = 11x-30

The number with its digits reversed would be...

10(x)+x-3 = 11x-3

And...

11x-30+11x-3=143     We can solve for x!

22x=176

x=8

The number would be 58.

answer: 58

The two digit number needed is valued 58.

Given that:

The tens of a two digit number  =  unit's digit - 3

Number reversed  + The number itself = 143

Let the ones digit of that two digit number be x and the tens digit be y. Then by place value concept, we have:

[tex]10(y) + x[/tex]

Since the tens digit = unit digit - 3

Thus we have:

[tex]y = x - 3[/tex]

or the number is :

[tex]10(x-3) + x = 11x - 30[/tex]

Now sum of the number and the number reversed is 143, which means:

[tex]143 = 10(x) + (y) + 10(y) + x = 10x + (x-3) + 11x - 30\\143 = 22x - 3 - 30\\x = 8[/tex]

Thus, the number is  [tex]10(x-3) + x = 50 + 8 = 58[/tex]

Thus, the two digit number needed is valued 58.

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Answer:

$0.38

Step-by-step explanation:

Since there are two cups in a pint so you divide 0.76 by 2

Answer:

.38 cents

Step-by-step explanation:

Since there are 2 cups in one pint, you have to divided .76 (cents) by 2 and you get .38 (cents)

Answer:

Therefore

[tex]75\div 5 - [(9-7)\times 3 ]\times 2 = 3[/tex]

Step-by-step explanation:

To Find:

Value of expression

75 ÷ 5 - [( 9 - 7 ) × 3 ] × 2

Solution:

PEDMAS rule

It explains the order of operations to solve an expression.

According to Pedmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.),

then division, multiplication, addition and subtraction from left to right.

P - parenthesis

E- exponent

D/M - Div or Multiply which ever comes first

A/S - Add or Sub which ever comes first.

So first we will solve the Parenthesis we get

Step 1. Parenthesis  operation

75 ÷ 5 - [( 2 ) × 3 ] × 2

Step 2. Parenthesis operation

[tex]75\div 5 - [(2)\times 3 ]\times 2[/tex]

Step 3. Division

[tex]15 - [6]\times 2[/tex]

Step 4. Multiplication

[tex]15 - 12[/tex]

Step 5. Subtraction

3

Therefore

[tex]75\div 5 - [(9-7)\times 3 ]\times 2 = 3[/tex]

Answer:

A=πr^2 and A=πr'^2 by the definition of area

Answer:

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

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

We have two points (4, 2) and (0, -1) → b = -1.

Calculate the slope:

[tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]

Finally:

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

The equation of the line that passes through the points (4, 2) and (0, -1) is y = 0.75x + 1.

The subject of this question is Mathematics, and it involves finding the equation of a line given two points. To find the equation of the line that contains the points (4, 2) and (0, -1), we first find the slope (m) using the formula m = (y2 - y1) / (x2 - x1).

Substituting the given points into the formula, we get m = (-1 - 2) / (0 - 4) = -3 / -4 = 0.75.

We then use the point-slope form of a linear equation, y - y1 = m(x - x1), and substituting m = 0.75, x1 = 4, and y1 = 2, we get the equation of our line as: y - 2 = 0.75(x - 4), which simplifies to y = 0.75x + 1.

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Answer:

The numbers are 18, 22.5, and 13.5

Step-by-step explanation:

You first need to figure out what number you use to multiply to find your answer. I found 4.5

Now, multiply all numbers by 4.5

4 x 4.5 = 18

5 x 4.5 = 22.5

3 x 4.5 = 13.5

Step-by-step explanation:

Answer:

they will have the same y-coordinate from the point it was reflected because it is reflected over the y-axis.

but you didn't provide the following statements, so i do not know.

The values of the coordinates will be same for y ordinate but will be negated for x abscissa , which means (x,y) will become (-x, y)

When the graph is reflected over y axis, then all the x coordinates of all points become negation of themselves. It is because those x coordinates who were on the positive sides now are on the negative sides and those who were on the negative side are now on the positive side.

Thus:

(x,y) turns to  (-x,y)

Thus, the values of the coordinates will be same for y ordinate but will be negated for x abscissa , which means (x,y) will become (-x, y)

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Answer:

x=-6

Step-by-step explanation:

3x-(2x-3)=2x+9

3x-2x+3=2x+9

x+3=2x+9

3=2x-x+9

3=x+9

x=3-9

x=-6

Age of Jen is 13.6 years old

Solution:

Let "x" be the age of Jack and "y" be the age of Jen

Given that This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen

The above sentence can be written mathematically as:

Jack age + 2 = twice of age of Jen

[tex]x + 2 = 2y\\\\x = 2y - 2---- eqn 1[/tex]

The sum of Jacks age and three times Jen's age is 66

Jack age + three times Jen age = 66

x + 3y = 66 ---- eqn 2

Substitute eqn 1 in eqn 2

2y - 2 + 3y = 66

5y - 2 = 66

5y = 68

Thus age of Jen is 13.6 years old

Answer:

20 times

Step-by-step explanation:

1,000 divided by 50 will be 20 try using lone division :)

Answer:

20 times

Step-by-step explanat

Answer: Area of Δ DUO = 12.0 square units.

Step-by-step explanation:

From the diagram, Δ DPA is a right angled triangle and right angled at P.

Therefore ∠D will be

Tan ∅° = PA/DP ie, opposite side all over the adjacent.

            = 4.5/3.75

Tan∅°   = 1.2

to calculate ∅°, we know find the inverse of Tan 1.2

∅ = Tan^-1 1 .2 from your log tables or calculator

         ∅° = 50.20°.

               = 50°

Since line DR is ⊥ to line OP

∠ADR = 90° - 50°

            = 40°.

From the diagram,

     ∠ADR = ∠UDR = 40°

Therefore,

    ∠ODU = 180 - ( 40 + 40 + 90 )  { Angle on a straight line }

                 = 180 - 170

                 = 10°

From Δ UDM , line MU is he height of the required Δ DUO whose area is to be determined.

Now find the height MU

            Tan10.0° = MU/10, where MU is the opposite side and 10.0 is the adjacent from the diagram given.

             MU = Tan10.0 x 10.0

                    =  0.1763 x 10.0

                    =  1.763

Therefore to calculate the area of Δ DUO

                    =   1/2 x base x height

                    = 1/2 x line OD x line MU

                    = 1/2 x 14.0 x 1.763

                    = 7 x 1.763

                    = 12.341

                    = 12.0 square units.

           =  

Answer:

0,-9,-5

Step-by-step explanation:

Answer:

They won [tex]\£63[/tex] in total

Step-by-step explanation:

Let

x ----> Mark's money

y ----> Henry's money

we know that

[tex]x=27[/tex] ----> equation A

[tex]\frac{x}{y}=\frac{3}{4}[/tex] ----> equation B

substitute equation A in equation B

[tex]\frac{27}{y}=\frac{3}{4}[/tex]

solve for y

[tex]y=27(4)/3\\y=36[/tex]

we have that

[tex]x+y=27+36=\£63[/tex]

Answer:

0.7

Step-by-step explanation:

Find Explanation attached