Adrian purchases a book for $4.86 and a poster for $3.44. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)

Answer:

all you do is() first divide then go from left to right answers 4

Answer:

The ratio of hours of CPR training to hours of first aid training is  10:15

Step-by-step explanation:

Answer:

  a) x = {-2 2/3, -2}

  b) x = {-8, 3}

  c) x = {-1, 23}

Step-by-step explanation:

If all you want are solutions, a graphing calculator can give them to you easily. The attachment shows the solutions as x-intercepts when the equation is rearranged to the form f(x) = 0.

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In general, it can be convenient to write the equation in standard form with integer coefficients. Common factors among the coefficients should be removed.

  3(x+4)^2 = 10x +32 . . . . . given

  3(x^2 +8x +16) -10x -32 = 0

  3x^2 +14x +16 = 0

To factor this, we're looking for factors of 3·16 that total 14.

  48 = 1·48 = 2·24 = 3·16 = 4·12 = 6·8

The last pair of factors has a total of 14, so we can rewrite the equation as ...

  (3x +6)(3x +8)/3 = 0

  (x +2)(3x +8) = 0

The solutions are the values of x that make the factors zero:

  x = -2, x = -8/3

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  (x +4)^2 = 3x +40 . . . . . . . . given

  x^2 +8x +16 -3x -40 = 0 . . . . subtract the right side

  x^2 +5x -24 = 0 . . . . . . . . simplify

  (x +8)(x -3) = 0 . . . . . . factor

The solutions are the values of x that make the factors zero:

  x = -8, x = 3

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  (x^2 -1)/2 -11x = 11 . . . . . given

  x^2 -1 -22x -22 = 0 . . . . . . multiply by 2, subtract the right side

  x^2 -22x -23 = 0 . . . . . . simplify

  (x -23)(x +1) = 0 . . . . . . factor

  x = 23, x = -1

_____

Additional comment

Factoring often gets to the solution with the least fuss when the solutions are rational. There are several ways factoring can be done when the leading coefficient is not 1. One of them is illustrated in (a) above. We will show two other methods that give the same result.

factoring by pairs

We have identified the factors of 3·16 = 48 that have a total of 14. We can use those factors to rewrite the 14x term in the equation.

  3x^2 +6x +8x +16 = 0

Now, we can group the terms in pairs, and factor each pair. It does not matter which of the factors (6 or 8) you write first. You will end with the same result.

  (3x^2 +6x) +(8x +16) = 0

  3x(x +2) +8(x +2) = 0

  (3x +8)(x +2) = 0   ⇒   x = -8/3, x = -2

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factoring using the X method

This method is usually shown using a large graphic X. In the top quadrant is written the product of the leading coefficient and the constant: 3·16 = 48.

In the bottom quadrant is written the coefficient of the x-term: 14.

If one or the other, or both, of these top/bottom values is negative, be sure to keep the sign.

The side quadrants are then filled with values that have a product equal to the top number, and a sum equal to the bottom number. (Pay attention to the signs.) Further, in each of those quadrants, the number written is divided by the leading coefficient, and the fraction reduced to lowest terms.

Here, we would have 6/3 = 2 on one side, and 8/3 on the other side. Now the factors are written as (bx+a), where the reduced fraction on either side is a/b. In our example, the factors are (x+2) and (3x+8)

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alternate X method

This starts off in the same way the X method does, as described above. However, the factors on either side of the X are not divided by the leading coefficient (a). If those side values are 'p' and 'q', the quadratic is written in factored form as ...

  (ax +p)(ax +q)/a = 0

You will notice we used this form above: (3x +6)(3x +8)/3 = 0.

Now, the divisor 'a' can be used to reduce either or both of the numerator factors. Here, the entire factor of 3 can be removed from (3x+6) to make the factorization be ...

  (x +2)(3x +8) = 0

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Sometimes, one factor of the divisor will be removed from one term, and the other factor of it will be removed from the other term. An example of this might be ...

  [tex]\dfrac{(6x+3)(6x+2)}{6}=\dfrac{6x+3}{3}\cdot\dfrac{6x+2}{2}=(2x+1)(3x+1)[/tex]

Answer:

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Answer:

i think area of the rug is 1 square yards

Step-by-step explanation:

area = 3/4×8/6

area = 2/2

area = 1 square yards

Answer: The variable t us the dependent variable because it affects the amount of money collected, m, each day.

Answer: 242

Brainliest plsssssss

Answer:

-2.5

Step-by-step explanation:

add all the values and divide by the no of values present

Answer:

7

Step-by-step explanation:

You have to add 2 and 5, the rest is stuff to distract you

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9 add 9 to both sides of the inequation

9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:

-1 < x  and x > -1

Answer:

x=42

Step-by-step explanation:

Answer:

104 degrees

Step-by-step explanation:

180-(180-(180-(25+85)+65)+31)

Answer:

0

I hope this is the correct answer

Answer: Slope = 0, y-intercept = 3

Step-by-step explanation:

The inequality is a horizontal line, where everything below 3 is agrees with the inequality

The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3

Answer:

2(4x+3)

Step-by-step explanation:

Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5

Combine the terms 3 + 6 + 5 to 8 + 6

Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )

The penny reaches the water at 3.5 seconds

The height function is given as:

[tex]d = -16t^2 + 196[/tex]

(a) Graph the function

See attachment for the graph of the function

(b) Time to reach the water

From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5

But the time (t) cannot be negative.

Hence, the penny reaches the water at 3.5 seconds

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Answer:

the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively

Step-by-step explanation:

Distance between points (2,5) and (-1,2)

Using the formula, √(X2 - X1)² + (Y2 - Y1)²

= √(-1-2)²+(2-5)²

=√(-3)²+(-3)²

=√9+9

=√18 or 3√2

Distance between points (-1,2) and (4,3)

=√[4-(-1)]²+(3-2)²

= √5²+1²

=√25+1

=√26

Distance between points (2,5) and (4,3)

=√(4-2)²+(3-5)²

=√2²+(-2)²

=√4+4

=√8

Using Cosine rule/formula, C²= A²+B²-2abcosc

Let C be √18, A be √26 and B be √8

√18²=√26²+√8² - 2√26.√8cosc

18= 26+8 - 2√208cosc

18= 34 -2√208cosc

2√208cosc= 34-18

Cosc = 16/2√208

Cosc= 0.5546

c= Cos`¹(0.5547)

c= 56.3°

Using sine rule/formula

Sinc/C= Sina/A=Sinb/B

Sin56.3/√18= Sina/√26

Sina= (0.8320 × √26)/ √18

Sina= 0.9999

a= Sin`¹(0.9999)

a= 89.2

56.3+89.2+b= 180°( sum of angles in a triangle)

145.5 + b =180

b=180-145.5

b= 34.5

Answer:

This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?

There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.

Hope this helps!

Answer:

I would say not valid

Step-by-step explanation:

well, it would actually be 44% since 33/75= 0.44 to represent the number of ppl hat consider math their favorite subject

Answer:

4.2

Step-by-step explanation:

4  1/2

1 4/5 = 9/5

2 1/3 = 7/3

---------------------------

9/5 · 7/3  = 21/5 OR 4 1/2

Answer:

it's so blury pls fix the picture so I can solve it NOW

Answer:

xy+x+y^2+3y+2

Step-by-step explanation:

Answer:

16/21

Step-by-step explanation:

Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.

Answer:

2 percent equals 0.02

so we just multiply that by 909090 so

0.02*909090=18181.8

Hope This Helps!!!

Answer:

The first one. All the x values are 2. So it wouldn't pass the vertical line test.

Step-by-step explanation:

Answer:

  A=4, B=3, C=2, D=7  or  A=2, B=7, C=4, D=3

Step-by-step explanation:

To factor this, you are looking for factors of 8×21 = 168 that have a sum of 34.

  168 = 1×168 = 2×84 = 3×56 = 4×42 = 6×28 = 7×24 = 8×21 = 12×14

The sums of these factor pairs are 169, 86, 59, 46, 34, 31, 29, 26. The factor pair whose sum is 34 is 6×28. This means we can rewrite the expression as ...

  8x² +28x +6x +21

Factoring by pairs gives ...

  4x(2x +7) +3(2x +7)

  (4x +3)(2x +7)   ⇒   A=4, B=3, C=2, D=7  or  A=2, B=7, C=4, D=3

Answer:

......................

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

For triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

We are given a triangle MNO.

We are also given that:

m ∠ MNP = 38°

m ∠ ONP = 39°

This clearly means that:

m ∠ MNP < m ∠ ONP

Also, since m ∠ MNP < m ∠ ONP , the sides opposite to the angles will also follow the same relationship.

Side opposite to ∠ MNP is MP

and side opposite to ∠ ONP is OP

so, the relation will become:

MP < OP

Therefore, we get that, for triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

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The statements m MNP m ONP and MP < OP are true for triangle MNO.

A triangle MNO is presented to us.

Additionally, we learn that

m ∠ MNP = 38°

m ∠ ONP = 39°

This demonstrates that:

m, MNP, m, and ONP

The sides that are opposite to the angles will also adhere to the same relationship because m MNP m ONP.

MP is the side that faces MNP.

and OP is the side opposite to ONP.

hence, the relationship will be:

MP < OP

As a result, we understand that for triangle MNO, the assertions m MNP m ONP and MP OP are true.

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