Multiple the question bellow

Multiple The Question Bellow

Answers

Answer 1

Answer:

1

Step-by-step explanation:

We have to convert the whole number into an improper fraction :

4  = 4/1

Now we multiply the numerators together and the denominators together :

4 × 1 = 4

1 × 4 = 4

Our new fraction is 4/4 = 1

Hope this helped and have a good day


Related Questions

Evaluate each expression. Determine if the final simplified form of the expression is positive or negative.
HELP PLEASE!!

Answers

The values of the square numbers are:

a. -16

b. 16

c. 16

How to evaluate the values

From the information given, we have the following expressions;

-4²(-4)²4²

Let's write the squares in simpler form

-4² = - (4 × 4)

This is so because the square was only assigned to 4 and not the negative sign

(-4)² = - 4 × - 4

This is so because the square was assigned to both the negative sign and 4

4² = 4 × 4

This is so because the square was assigned to 4

Now, we have

- (4 × 4) = -16

- 4 × - 4 = 16

4 × 4 = 16

Thus, the values are - 16, 16 and 16 respectively.

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5b = .1

solve the equation

Answers

b = 0.02

divide both side by 5    

Answer:

I think that B equals 0.02

Question 15 of 25
Find the range of the graphed function.

Answers

0<y<8

given,

The y axis has a plot as low as 0.

soo it would be 0.

Then, the highest plot is marked as high as 8.

Therefore its 0<y<8.

a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables

Types of Graphs and Charts;

Bar Chart/Graph.

Pie Chart.

Line Graph or Chart.

Histogram Chart.

Area Chart.

Dot Graph or Plot.

Scatter Plot.

Bubble Chart.

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The range of the graphical function is: 0<y<8

The graph of a function f is the set of ordered pairs, where {f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

Given that

The y axis has a plot as low as 0.

Soo it would be 0.

Then, the highest plot is marked as high as 8.

Therefore its 0<y<8.

Types of Graphs and Charts;

Bar Chart/Graph, Pie Chart, Line Graph or Chart, Histogram Chart, Area Chart, Dot Graph or Plot, Scatter Plot., Bubble Chart.

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1.1 building blocks of geometry

Answers

Step-by-step explanation:

1. S

since PS = SQ, S must be exactly in the middle.

2. NQ = 3×PS = 3×3 = 9 cm

we see, NP = PS = SQ. so, NQ = NP + PS + SQ = e.q. 3×PS

3.

not sure what your teacher means.

line segment

line

NPS (as alternative to just NS)

4.

S is an endpoint of SQ.

5.

P is the midpoint of NS.

6.

NS is congruent to PQ.

7.

similar to 3.

line segment

line

SPN (as alternative to just SN)

Each statement :

1) 'S' is the midpoint of PQ.

2)  NQ is 9cm long

3) Another name of NS is the line segment NS.

4) S is an endpoint of SQ.

5) P is the midpoint of NS.

6) NS is congruent to PQ

7) Another name of NS is the line segment NS.

Given, that line segment PS is 3cm long .

1.

'S' is the midpoint of PQ.

since PS = SQ, S must be exactly in the middle.

2.

NP = PS = SQ.

So, NQ = NP + PS + SQ

= 3 × PS

NQ = 3×PS

= 3×3

= 9 cm

Thus NQ is 9cm long .

3.

Another name of NS is the line segment NS.

P is the midpoint of NS.

So, NP = PS

4.

Line segment is starting from point S.

S is an endpoint of SQ.

5.

P is the midpoint of NS.

So, NP = PS

6.

In line segment NS,

NP = PS

In line segment PQ,

PS = SQ

NS is congruent to PQ.

7.

Another name of NS is the line segment NS.

P is the midpoint of NS.

So, NP = PS

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An archer aims at a target that is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center. Find the probability that the archer will hit the center.

Answers

The probability that the archer will hit the center which is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center is 1/100.

As given in the question,

Total number of concentric circle=10

Outer circle diameter=122centimeters

Diameter decrease by 12.2 centimeters as they get closer to the center

Diameter of inner most circle= 122-9(12.2)

                                             = 12.2centimeter

Probability that archer hit the center

= (Area of inner most circle)/ (Area of target)

= π(6.1)²/π(61)²

= {π(61)²/π(61)²}× 1/100

= 1/100

Therefore, probability that the archer will hit the center is 1/100.

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A certain species of fish costs $5.49 each. You can spend no more than $30. How many of this type of fish can you buy for your aquarium?​

Answers

You can buy 5 fish.
5 times 5.49= 27.45
If you do anymore, such as 6 it will be over $30. 6 times 5.49=32.94

Evaluate each series to the given term. 2+4+6+8+ . . . . . . ; 10 th term

Answers

Finding the value of any term in a given sequence is known as an arithmetic sequence if each term in the sequence is equidistant from the terms before and after. To find any term in a sequence, we first have to find the pattern of the sequence. Then we can multiply the distance between any two terms by one less than the number of terms we are looking for. Adding this to the first term gives you the term you want.

Here the first term a=2,

Common difference d=4-2=2

We know that,

f(n)=a+(n-1) d

f (10) =2+(10-1) (2)

=2+(18)

=20

We know that,

Sn=n2[2a+(n-1) d]

∴S10=102⋅ [2(2) +(10-1) (2)]

=5⋅ [4+(18)]

=5⋅ [22]

=110

Hence, the 10th term of the given series is 20, and the sum of the first 10th term is 110.

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Each sequence has eight terms. Evaluate each related series. 1,-1,-3, . . . . . . -13

Answers

The sum of the 8 terms of the series 1-1-3-5- ... -13 is -48

The given sequence is:

1,-1,-3,  . . -13

and there are 8 terms.

The related series of this sequence is:

1-1-3-5- ... -13

Notice that the series is an arithmetic series with:

first term, a(1) = 1

common difference, d = -1 - (1) = -2

last term, a(8) = -13

To find the sum of the series, use the sum formula:

S(n) = n/2 [(a(1) + a(n)]

Substitute n = 8, a(1) = 1, a(n) = a(8) = -13 into the formula:

S(8) = 8/2 [1 + (-13)]

S(9) = 4 . (-12) = -48

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rewrite each fraction
A. 5/20
B. 9/25
C. 6/7 - 2/5

Answers

A:5/4×5 =1/4
B:9/25
C:30/35 - 14/35=16/35

deas from earlier grades
5.
On a recent test, Mark got 6 questions out of 40
wrong. Which answer best describes the percent of
questions he got correct?
a. Less than 50%
b. More than 50%
c. Less than 25%
d. More than 75%
Explain or support your choice:

Answers

Answer:

D (he got 85% right which is more than 75%)

Step-by-step explanation:

because if you half 6/40 you get 3/20, now if you x by 5 you get 100 so do the same to the top (3x5 = 15)

Now you know that he got 15/100 = 15% wrong

so if you do 100 - 15 you get 85, so he got 85% right

85% is greater than 75% so therefore it is option D

hope this helps :)


Solve each equation for y .
(3/4)y=15 x

Answers

After solving the equation, y = 20x is the value of y in (3/4)y=15 x

⇒ (3/4)y=15 x

⇒ y = 15x/(3/4)

y = 20x

How to solve an equation?

To solve Linear equations, utilize the steps that are provided below.

Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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PLEASE HELP!


Order the cube root of 51, four and two thirds, negative pi, and negative 17 over 5 from greatest to least.

four and two thirds, cubed root of 51, negative pi, and negative 17 over 5
four and two thirds, cubed root of 51, negative 17 over 5, and negative pi
cubed root of 51, negative pi, negative 17 over 5, and four and two thirds
cubed root of 51, four and two thirds, negative pi, and negative 17 over 5

Answers

The ordering of the rational and irrational numbers from greatest to least is given by:

4 and 2/3, cube root of 51, -π, -17/5.

What are rational and irrational numbers?

Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.

To order numbers on the number line, we have that:

For negative numbers, the smaller the integer part is, the greater is the number, for example -2 > -3.For positive numbers, the greater the integer part is, the greater is the number, for example 3 > 2.

If the integer parts are equal, we look at the decimal part, following the same logic as above.

For this problem, the numbers are given as follows:

Cube root of 51 = 3.71.4 and 2/3 = 4.67.-π = -3.11415...-17/5 = -3.4.

Hence the ordering of the rational and irrational numbers from greatest to least is given by:

4 and 2/3, cube root of 51, -π, -17/5.

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Solve for the value of t.
Answer: t =
(2t-4)
(5t+2)°
Submit Answer

Answers

Answer:

Step-by-step explanation:

If you are to check carefully you will find that the two angles are lying on a straight line of which is 180°

mathematically

[tex](2t-4)+(5t+2)=180\\2t+5t-4+2=180\\7t-2=180\\7t=180+2\\7t=182\\\frac{7t}{7} =\frac{182}{7} \\t=26[/tex]

2. Amirah, Huixian and Priya make a total of 1530 toys in the ratio 12: 16:17.
(ii) the amount of money Priya earns if she is paid $1.65 for each toy.

Answers

Answer:

$953.70

Step-by-step explanation:

sum the parts of the ratio, 12 + 16 + 17 = 45 parts

divide the total number of toys by 45 to find the value of one part of the ratio.

1530 ÷ 45 = 34 , then

Priya makes 17 × 34 = 578 toys

she is paid $1.65 per toy, so is paid

578 × $1.65 = $953.70

IM CURRENTLY BOUNCING BETWEEN ASSIGNMENTS AND I COULD REALLY USE THE HELP (PLEASE SEE THE ATTACHMENT)

Answers

Using linear function concepts, it is found that since the two lines have the same slope, they are parallel.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope.

The first road goes through points (0, 16) and (20,0), hence the slope is:

m = (0 - 16)/(20 - 0) = -0.8.

The second road goes through points (0,8) and (10,0), hence the slope is:

m = (0 - 8)/(10 - 0) = -0.8.

Since the two lines have the same slope, they are parallel.

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3-4 The prime factorizations of 30 and 42 are shown. (D) 30 = 2 × 3 × 5 42 = 2 × 3 × 7 Which product is the greatest common factor of 30 and 42? A. 2 × 3 × 5×7 C. 5 × 7 TOSHIBA B. 2×2×3×3×5×7 D. 2 × 3​

Answers

Answer:

D. 2 × 3​

Step-by-step explanation:

Let's take the prime factorization of 30 and 42

30: 2*15=2*3*5

42: 2*21=2*3*7

Notice any common factors?

GCF: 2*3=6

GCF: 6

the product of two consecutive number is 18 more than 8 times a number​

Answers

Using algebra, The product of two consecutive numbers is 18 more then 8 times a number

What is Algebra ?

Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics

The two consecutive numbers are :

x and x+1

x(x+1) = 8(x+1) + 18

x^2 + x = 8x + 8 + 18

x^2 + x = 8x + 26

x^2 + x - 8x - 26 = 0

x^2 - 7x - 26 = 0

Substitute a=1,b=−7 and c=−26 into the quadratic formula

       - B  ±  √ B2-4AC

 x =   ————————

                     2A

Accordingly,  B^2  -  4AC   = 49 - (-104) =    153

Applying the quadratic formula :

             7 ± √ 153

  x  =    —————

                  2

x  =  ( 7 ± 3 ×  4.123 ) / 2

Two real solutions:

x =(7+√153)/2=(7+3√ 17 )/2= 9.685

or:

x =(7-√153)/2=(7-3√ 17 )/2= -2.685

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Please help if you can​

Answers

This is the correct

4. A conveyor belt moves at a constant rate
of 12 feet in 3 seconds. A second conveyor
belt moves 16 feet in 4 seconds. guys help !!!!

Answers

Solution :

Yes, the conveyors are in a proportional relationship.

Given,

A conveyor belt moves at a constant rate of 12 feet in 3 seconds.

A second conveyor belt moves 16 feet in 4 seconds.

There is a proportional relationship if the ratios of each pair of values are the same.

- First conveyor belt

12 feet in 3 seconds.

Ratio = 12 / 3 = 4

- Second conveyor belt

16 feet in 4 seconds.

Ratio = 16 / 4 = 4

Ratios are the same.

4 = 4

Thus the conveyors are in a proportional relationship.

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Solve for the value of a

Answers

(6a-1)+(67)=180
6a-1+67=180
6a+66=180
-66 -66
6a=114
Divide by 6.
a=19

Hope this helps.

This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days. how many phone calls should she expect after a week?

Answers

From the given equation y = 30(0.92)d, she should expect 193 phone calls after a week.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "="..

If the number of phone calls she should expect can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days, then we can calculate the expected amount phone calls after a week.

To determine how much phone calls she should expect after a week, substitute the value of d.

y = 30(0.92)d

where d = 1 week = 7 days

y = 30(0.92)(7)

y = 193.2

Rounding off to the nearest whole number,

y = 193

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need help with a short word problem please!!!

Answers

Answer:

5

Step-by-step explanation:

You add 5.49 until it almost goes past 30

Then count how many times you added

I hope this helps!


Determine the slope of the line that contains the given points.
C(3,1), D(-2,1)

Answers

The slope of the line containing (3,1) and (-2,1) is  Zero(0).

The slope of a straight line can be written as follows,

m =  [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex]                 equation1

The line is containing the points (-3,3) and (4,3). So, we can write

[tex]y_{2}[/tex] = 1 , [tex]y_{1}[/tex] = 1 , [tex]x_{2}[/tex] = -2 , and [tex]x_{1}[/tex] = 3 .

On substituting the values of variables in equation1, we will get

m = ( (1)-(1) ) / ( (-2)-(3) ) = (0/(-5)) = 0.

As the slope of a line is Zero(0), so we can conclude that the given line is a straight line.

Here:

m = the slope of the line

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.

The slope of the line containing  (7,-3) and (-8,-3) is  Zero(0).

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Why is the slope of a vertical line undefined.

Answers

The slope of a line can be positive, negative, zero, or undefined. The horizontal line does not rise vertically (y1 − y2 = 0), so the slope is zero, but the vertical line does not extend horizontally (that is, x1 − x2 = 0), so the slope is undefined. As mentioned above, the horizontal line has zero slopes. This does not mean that the horizon has no slope. Since the horizontal line is m=0, it is represented symbolically by the expression y=b. Functions defined by horizontal lines are often called constant functions. The slope of the vertical line is undefined. Any two points on the vertical line have the same x-coordinate, so the gradient cannot be computed as a finite number according to the equation

M=(y2-y1)/(x2-x1)

This is because division by zero is an undefined operation.

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sustitucion de 18-3x=9 ​

Answers

Answer: x=+9

Step-by-step explanation:

18=3x-9    18-(3x-9)=0    3x+9+18=0    -3x+27=0

-3x=-27

x=-27/-3

x=+9

Hope this helps! :) Have a great day!  ^-^

Answer:

x=3

Step-by-step explanation:

18-3x=9

-18    -18      Subtract 18 from both sides of the equation to leave 3x by itself.

3x=9

/     /

3    3           Divide both sides by 3 to isolate x.

x=3   Final answer.

The difference between the product of eight and 47 the quotient of seven and five

Answers

Answer:

268.571429

Step-by-step explanation:

find the square root of 63.34 upto 2 decimals​

Answers

The square root of 63.34 IS 7.95

The square root of decimal places can be found using long division method

The solution of this question in written form is attached so do check it out

first step is to find out the number whose square root is close but less than the given number as 7 in this case

second step add the divisor and the answer that is 7+ 7and make it our new divisor

Third step after carrying down the next pair of number write the number on once place that is 14_ which is 9 in our case  and keep following the same steps unit the desired answer

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The age of a woman is four times the age of her daughter. Five years h:t 1ce, the age of the woman wili be three times the age of her daughter. What is the present age of the daughter

Answers

The present age of the daughter is 10 years old.

How to find the age of the daughter?

The age of a woman is four times the age of her daughter.

let

x = age of the daughter

Therefore,

age of the woman = 4x

Five years later, the age of the woman will be three times the age of her daughter.

Therefore,

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5

x = 10

Therefore, the present age of the daughter is 10 years old.

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There is a number such that for times the number plus 3 is equal to 19. Find the number

Answers

Answer:

4

Step-by-step explanation:

let the number be n then four times the number is 4n and

4n + 3 = 19 ( subtract 3 from both sides )

4n = 16 ( divide both sides by 4 )

n = 4

then the number n is 4


The radius, diameter, or circumference of a circle is given. Find the missing measure to the nearest hundredth.
r = 11 2/5ft, d=?, C =?

Answers

A circle is a curve sketched out by a point moving in a plane. The radius, diameter, and circumference of the circle are 11.4 ft, 22.8 ft, and 71.6283 ft, respectively.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Given that radius of the circle is 11 2/5 ft. Therefore, the radius of the circle in a simplified way can be written as,

The radius of the circle = 11 2/5 ft

                                       = (11×5 + 2)/5 ft

                                       = (55 + 2)/5 ft

                                       = 57/5 ft

Now, the diameter and the circumference of the circle can be written as,

Diameter of circle = 2 × (Radius of the circle)

                              = 2 × 57/5 ft

                              = 114/5 ft

Circumference of circle = 2 × π × (Radius of the circle)

                                        = 2 × π × 57/5 ft

                                        = (114/5)π ft

Hence, the radius, diameter, and circumference of the circle are 57/5 ft, 114/5 ft, and (114/5)π ft, respectively.

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Select all the expressions that have 23 as a product. 21255063 78925 13023 325712 20272730 Each of the following sentences contains an incorrect pronoun form. Identify the error and then give the correct form.1. Roberts parents have no objection to him trying to get a job at the gas station after school.2. They have many more CDs than us.3. I thought that Beth and her would make the best officers. 4. Many farm workers voted for Cesar Chavez, who they know would fight for his rights. 3. Food grown on depleted soils is nutritionally inferior true or false What is the role of these bacteria in the nitrogen cycle? n paragraph 2, the narrator says, "As simple as the ride seems, only advanced engineers can make safe and fun Ferris wheels." Can you think of any other machines that seem simple but actually are not Think about the gender division of labour in your community. In your learning journal, write down five areas of work that are considered appropriate for women. i know how to do a and c, but how do i do b)? What crisis spurred the creation of The Populist Party? A Three-Point TurnChapter 1"You know, hardly anyone ever needs to do a three-point turn anymore," said Justin, trying to help Becky calm down."Oh, so it's not a useful skill AND I am probably going to fail the driving test because I can't do it anyway," Becky said, raising her voice for emphasis. "That should make me feel like a million bucks when I flunk."Justin was riding with Becky so she could take her driving test. He had volunteered for the job because he thought she would be less nervous with him than with their mom, but so far, he wasn't sure he was making any difference."Slow down, your turn is coming up here," he said, looking ahead."I know, I know," she replied, "I've been here before rememberthe last time I flunked."Justin was pretty sure if he had let her miss the turn, things would only have deteriorated further, but he wasn't sure he was fond of being the scapegoat for Becky's anxiety."Listen, you need to take a few deep breaths," he said, hoping he could help her at least relax a bit. "Being nervous won't help you with the three-point turn or anything else you have to do. Hey, did you just take that turn without your turn signal on?" This was going to be harder than he thought."Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate.""Look, you need to stop and get yourself together here," Justin started. "It is not just about passing the driving test. I don't want to get in an accident, so pull into that parking lot."Becky drove into the office building's parking lot where Justin was pointing. Justin knew they were less than a mile from the licensing office, and if she continued in this condition, he'd be having this same discussion three months from now when she tried the test again for the third time."You need to get a grip," he started after she put the car in park, "because you have studied and practiced driving all year. You know this stuff inside and out, backwards and forwards. What are you so nervous about?""I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."Listening quietly as Becky sobbed, Justin realized this was about much more than a driving test. He also knew if he didn't find a way to help Becky things would just get worse.Chapter 2Justin took a deep breath and collected his thoughts. Becky was an unbelievably consistent straight-A student. It was Justin who got the bad grades in school, and Justin who had to repeat every math class he'd ever taken. It was Justin who wished he could get the grades Becky got. Some things came easier for Justin: He was athletic, handy with tools, and good at making the best of whatever life threw at him. Mom called him her "lemons into lemonade" kid. But for the most part, Becky succeeded easily, whereas Justin had to work and work to just get a passing grade.Rather than having Becky catalogue all the things she supposedly "failed" at, Justin decided to try an alternative approach, one that wouldn't remind him of all the ways he had failed."Okay, Becky, let's assume for a moment you fail this test again. What is the worst thing that could happen?" he asked."I would be the oldest kid at school without a license and be humiliated," she replied. Justin thought he heard a bit of panic in her voice but continued with his plan."Yes, but won't we still have to drive to school together for at least one more year anyway?" he asked."Yes, but..." she started."And who will know, if you don't tell anyone except your friends, that you don't have your license? You know Mom can't afford another car just for you, right?""Yes," she said quietly."So what difference does it make, really," he said. "Another three months to wait in the grand scheme of your life doesn't seem like all that long, right?""I suppose not," she said.Justin could tell she was breathing more slowly now. "Besides," he said, "I would miss all the practice driving with you," and for good measure he reached over and pinched her arm."Ow," she said, hitting back at him, "that hurt.""So let's go do this, okay?"Okay," she said. Becky cranked up the car, backed slowly out of the parking spot and drove up to the parking lot's exit. Justin noticed, as they waited for the traffic to clear, that she had remembered the turn signal.Which is true of both Chapter 1 and Chapter 2? Both begin the narrative by detailing Becky's driving. Both begin the narrative by naming the conflict. Both begin the narrative focusing on the setting. Both begin the narrative in Justin's point of view. Which of the following is equivalent to (10x-3)-(6x-2)?.4x-1.4x-5.16x-1.16x-5 which number line represents the solution to the inequality -9x+9>36? Find the slope and y -intercept of each line.-Ax+B y=-C 420 d = 30; d= 15[tex]420 \div d = 30 \: d = 15[/tex] Two construction workers are attempting to pull a slab of concrete off of the ground. Each of the workers are pulling up with a force of 225 N, while theslab of concrete applies a gravitational force of 400 N in the opposite direction, remaining stationary.If the pulling forces applied to the slab of concrete are assigned a positive value, what is the net force of the scenario, and in which direction will the slabof concrete move?(1 point)O -50 N, the slab will remain stationaryO-175 N; the slab will remain stationaryO 50 N; the slab will move upwardO 175 N; the slab will move upward