Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh?

Answer:

9.45

Step-by-step explanation:

28.20/188=.15

.15x63=9.45

Step-by-step explanation:

I=(pxRxt)/100

I=(1250×5.25×10)/100

I=656.25

amount to be paid is $1906.25 pls give me brainliest

Answer:

(i). [tex]y = 2\, x^2 - 4\, x + 1 = 2\, (x - 1)^2 - 1[/tex]. Point [tex]A[/tex] is at [tex](1, \, -1)[/tex].

(ii). Point [tex]Q[/tex] is at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex].

(iii). [tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex] (slope-intercept form) or equivalently [tex]x + 5\, y - 17 = 0[/tex] (standard form.)

Step-by-step explanation:

Note, that when [tex]a(x + b)^2 + c[/tex] is expanded, the expression would become [tex]a\, x^2 + 2\, a\, b\, x + a\, b^2 + c[/tex].

Compare this expression to the original [tex]2\, x^2 - 4\, x + 1[/tex]. In particular, try to match the coefficients of the [tex]x^2[/tex] terms and the [tex]x[/tex] terms, as well as the constant terms.

Hence, the original expression for the parabola is equivalent to [tex]y = 2\, (x - 1)^2 - 1[/tex].

For a parabola in the vertex form [tex]y = a\, (x + b)^2 + c[/tex], the vertex (which, depending on [tex]a[/tex], can either be a minimum or a maximum,) would be [tex](-b,\, c)[/tex]. For this parabola, that point would be [tex](1,\, -1)[/tex].

Assume [tex](m,\, n)[/tex] is an intersection of the graphs of the two functions [tex]y = 2\, x^2- 4\, x + 1[/tex] and [tex]x -y + 4 = 0[/tex]. Setting [tex]x[/tex] to [tex]m[/tex], and [tex]y[/tex] to [tex]n[/tex] should make sure that both equations still hold. That is:

[tex]\displaystyle \left\lbrace \begin{aligned}& n = 2\, m^2 - 4\, m + 1 \\ & m - n + 4 = 0\end{aligned}\right.[/tex].

Take the sum of these two equations to eliminate the variable [tex]n[/tex]:

[tex]n + (m - n + 4) = 2\, m^2 - 4\, m + 1[/tex].

Simplify and solve for [tex]m[/tex]:

[tex]2\, m^2 - 5\, m -3 = 0[/tex].

[tex](2\, m + 1)\, (m - 3) = 0[/tex].

There are two possible solutions: [tex]m = -1/2[/tex] and [tex]m = 3[/tex]. For each possible [tex]m[/tex], substitute back to either of the two equations to find the value of [tex]n[/tex].

Hence, the two intersections are at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] and [tex](3,\, 7)[/tex], respectively.

The coordinates of point [tex]A[/tex] and point [tex]P[/tex] each have two components.

Let [tex]M[/tex] denote the midpoint of segment [tex]AP[/tex]. The [tex]x[/tex]-component of point [tex]M[/tex] would be [tex](1 + 3) / 2 = 2[/tex], the average of the [tex]x[/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].

Similarly, the [tex]y[/tex]-component of point [tex]M[/tex] would be [tex]((-1) + 7) / 2 = 3[/tex], the average of the [tex]y\![/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].

Hence, the midpoint of segment [tex]AP[/tex] would be at [tex](2,\, 3)[/tex].

The slope of the line joining [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] (the coordinates of point [tex]Q[/tex]) and [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) would be:

[tex]\displaystyle \frac{\text{Change in $y$}}{\text{Change in $x$}} = \frac{3 - (7/2)}{2 - (-1/2)} = \frac{1}{5}[/tex].

Point [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) is a point on that line. The point-slope form of this line would be:

[tex]\displaystyle \left( y - \frac{7}{2}\right) = \frac{1}{5}\, \left(x - \frac{1}{2} \right)[/tex].

Rearrange to obtain the slope-intercept form, as well as the standard form of this line:

[tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex].

[tex]x + 5\, y - 17 = 0[/tex].

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{4}{4} = \frac{8}{12} [/tex]

yes

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

Answer:

x = 12

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, thus

9x - 4 + 5x + 16 = 180, that is

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Answer:

81 2/3 words per minute

Step-by-step explanation:

245/3= 81 2/3

Answer:

Suki's typing rate is 82wpm

Step-by-step explanation:

Words per minute is a typing rate calculated by the minutes that the person has typed for and the amount of words that they typed. In this case I did 245 / 3 which is 81.6666666667 , but words per minute has to be round up to the nearest number, so if it were 81 to 81.49 it would go to 81, if it were 81.5 to 81.99 it would go to 82. So since it is 81.6 it goes up to 82wpm.

Answer: -24

Step-by-step explanation:

-2 * 8 = -16

-16 * -6 = 96

Answer:

24 Please give brainliest

Step-by-step explanation:

-2 x 8

-16 x -6

96/4

24

Answer:

all of the expressions are probably random so I have no idea

Answer:

more than one than its a and b but only one than its a

Answer:

2x²

Step-by-step explanation:

Answer:

11y-5

Step by step:

X^2-8x^2+7x^2=0

x+x-2x=0

3-8=-5

2y+9y=11y

Given :

A number [tex]12\dfrac{1}{4}=\dfrac{49}{4}[/tex] .

To Find :

What is the sum of 12 1/4 and it’s additive inverse .

Solution :

Fist we should know what is additive inverse .

Additive inverse of a number is that number , when added to it yield zero ,

Basically , for a real number , it reverses its sign :

The opposite to a positive is negative .

The opposite to a negative is positive .

Therefore , the sum of [tex]12\dfrac{1}{4}[/tex] and it's additive inverse is 0 .

Hence , this is the required solution .

Answer:

I got 2.3

Step-by-step explanation:

line them up in order and count from the outside

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.3}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \tt{ \: Given \: data}}[/tex] :

[tex] \sf{2.5 \: , \: 2.3 \: , \: 2.3 \: , \: 1.8 \: , \: 2.3 \: , \: 1.5}[/tex]

[tex] \star{ \sf{ \: Arranging \: the \: given \: data \: in \: ascending \: order}}[/tex] :

[tex] \sf{1.5 \: , \: 1.8 \: , \: 2.3 \: , \: 2.3 \: , \: 2.3 \: , \: 2.5}[/tex]

[tex] \star{ \sf{ \: n \: ( \: Total \: number \: of \: observation \: ) \: = \: 6}}[/tex]

Finding the position of median

[tex] \bold{ \boxed{ \sf{ \: Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}}[/tex]

[tex] \longmapsto{ \sf{position \: of \: median = ( \frac{6 + 1}{2} ) ^{th} item}}[/tex]

[tex] \longmapsto{ \sf{position \: of \: median \: = \: ( \frac{7}{2} ) ^{th} item}}[/tex]

[tex] \longmapsto {\sf{position \: of \: median = {3.5}^{th} item}}[/tex]

[tex] \sf{ {3.5}^{th} }[/tex] item is the average of 3rd and 4th items.

[tex] \sf{∴Median = \frac{ {3}^{rd} item + {4}^{th} item}{2} }[/tex]

[tex] \longmapsto{ \sf{median = \frac{2.3 + 2.3}{2}}} [/tex]

[tex] \longmapsto{ \sf{median = \frac{4.6}{2} }}[/tex]

[tex] \longmapsto{ \sf{median = 2.3}}[/tex]

∴ Median = 2.3

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

[tex] \star \: \underline{ \tt{Remember ! }}[/tex]

▪️If n is odd , the median is the value of the [tex] \sf{( \frac{n + 1}{2} ) ^{th} }[/tex] observation.

▪️If n is even, the median is the average of [tex] \sf{( \frac{n}{2} ) ^{th}} [/tex] and [tex] \sf{( \frac{n}{2} + 1) ^{th} }[/tex] observation.

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].

Step-by-step explanation:

From statement we know the slope of the line and a point contained in it. Using the slope-point equation of the line is the quickest approach to determine the appropriate equation, whose expression is:

[tex]y-y_{o} = m \cdot (x-x_{o})[/tex]

Where:

[tex]m[/tex] - Slope, dimensionless.

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of given point, dimensionless.

[tex]x[/tex], [tex]y[/tex] - Independent and dependent variable, dimensionless.

If we know that [tex]m = 2[/tex], [tex]x_{o} = 3[/tex] and [tex]y_{o} = 4[/tex], the linear equation is found after algebraic handling:

1) [tex]y-4 = 2\cdot (x-3)[/tex] Given

2) [tex]y = 2\cdot (x-3) +4[/tex] Compatibility with Addition/Existence of Additive Inverse/Modulative Property

3) [tex]y = 2\cdot x -2[/tex] Distributive Property/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of sum/Result

Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].

Answer:

a(t)=10000+1.08t

Step-by-step explanation:

t

1

2

3

Alt)

10,800.00

11,664.00

12,597.12

C.D.And E..

I'm sure..

Answer:

2/4=1/2

Step-by-step explanation:

It rises 2 runs over 4.

rise/run

2/4=1/2

Answer:x=-4

Step-by-step explanation:

move 5x to the other side by cancelling it out with -5x

that causes it to be 6-6x=30

move 6 to other side by cancelling out with -6

causes it to be -6x=24

divide by -6 to get x alone

x=24/-6

answer is -4 when reduced

The solution to the equation 6 - x = 5x + 30 is x = -4.

To solve the equation 6 - x = 5x + 30,  follow these steps:

Start by combining like terms on each side of the equation:

6 - x = 5x + 30

Rearranging the equation:

6 - 30 = 5x + x

-24 = 6x

Divide both sides of the equation by 6 to isolate the variable x:

-24/6 = 6x/6

-4 = x

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Answer:

(x-7)

Step-by-step explanation:

i guessed and got it right

Answer:

Step-by-step explanation:

3x - 70 = x

2x = 70

x = 35

3(35) - 70

105 - 70 = 35

m<ABC = 35

answer is C

The value of the angle ∠ABC = 35°

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the angle be ∠ABC = ( 3x - 70 )°

Now , from the figure ,

The value of angle ∠A = x°

The value of x° is equal to ( 3x - 70 )° because they are corresponding angles

Now , from the theorem of angles cut by transversal , we get

The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size

Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other

So ,

Substituting the values in the equation , we get

x° is equal to ( 3x - 70 )°

x° = ( 3x - 70 )°

x = 3x - 70

Adding 70 on both sides of the equation , we get

3x = x + 70

Subtracting x on both sides of the equation , we get

2x = 70

Divide by 2 on both sides of the equation , we get

x = 35°

So , the value of ∠ABC = ( 3x - 70 )°

∠ABC = ( 3x - 70 )°

∠ABC = ( 135 - 70 )°

∠ABC = 35°

Hence , The value of the angle ∠ABC = 35°

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Answer:

1. am

Step-by-step explanation:

work is shown and pit

Answer:

9.5

Step-by-step explanation:

The correct answer is 9.5 because 9.49 is closer to 9.5 than 9.4

Answer:

9.5

Step-by-step explanation:

9.492 to the nearest tenth

First you would round 0.092, which would just be 0.09 because 2 is less than 5. You would then have 9.49. You would then round the 0.49, and since 9 is greater than 5, it would be 9.5 because 9 would round to 10.

Answer:

Kith means becoz i am from India

Answer:

If the minimum is 10 and it costs $45 for that you would be going into the negatives as $25 is less then $45 meaning : You do not have enough money to purchase something that is $45. You would need $20 more dollars. If there was no minimum you would only be able to buy 4 with a few dollars left over.

Answer:

[tex] \boxed{\sf 3x + 10} [/tex]

Step-by-step explanation:

Simplify the following:

⇒-9 x + 12 x + 10

Grouping like terms:

⇒(12 x - 9 x) + 10

12 x - 9 x = 3 x:

⇒3 x + 10

Answer:

20ft

Explanation:

You multiply the model length by the scale factor to find the actual length. If the scale factor is less than zero, then the actual size will be smaller than the model. Therefore, your answer would be 20ft.

Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.

The actual length of the model will be 30 feet. Then the correct option is C.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The length of the model is 25 feet. And the scale factor is less than one.

We know that if the scale factor is from zero to one, then the size of the actual length increases.

If the scale factor is greater than zero, then the size of the actual length decrease.

And if the scale factor is one, then the size does not change.

The size of the actual length will be greater than 25 feet.

The actual length of the model will be 30 feet. Then the correct option is C.

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