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Inequalities are used to represent unequal expressions.

See attachment for the graph of [tex]y + \frac 34 x < 2[/tex] and [tex]y - 1 \le 2x[/tex]

The inequalities are given as:

[tex]y + \frac 34 x < 2[/tex]

[tex]y - 1 \le 2x[/tex]

Make y the subject in both inequalities

[tex]y < - \frac 34 x + 2[/tex]

[tex]y \le 2x +1[/tex]

[tex]y < - \frac 34 x + 2[/tex]

[tex]y \le 2x +1[/tex]

None of the given graphs represent the system of the inequalities

See attachment for the graphs of [tex]y + \frac 34 x < 2[/tex] and [tex]y - 1 \le 2x[/tex]

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Answer: 107

Step-by-step explanation:

102.3 can be rounded down to 102 (because the 3 at the end of the number is  less than 5)

4.7 can be rounded up to 5 (because the 7 at the end of the number is greater than 5).

102.3  → estimate = 102

    4.7 →  estimate =   5  

   estimated sum  = 107

Note that estimating the sum is NOT the same as simply adding the numbers and then rounding the sum.

Answer:

15 more jobs

Step-by-step explanation:

So you do 15 x 15 and that equals 225. Then you take 225 + 75 and that equals 300 so in total you just need 15 more jobs to get 300 dollars.

Answer:

4+5-52*4=-199

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

23.99999 rounded 30

Step-by-step explanation:

4/3 x 18

Answer:

3+x=y

x=2/y=5

6+x=y

x=1/y=7

Answer:

$1.40/ hour

Step-by-step explanation:

The rate of the deductions is

Full amount minus new amount.  This is the amount taken per hour

$6.50/ hour -$5.2/hour = rate

$1.40/ hour

Answer:

C.

Step-by-step explanation:

all you have to do is replace the x with 14 until the equation is true.

Answer: C and H

Step-by-step explanation:

plugging in for each equation for the first one C is the only one that comes up with a whole number and with H you divide and then add to get the answer :)

Answer:

MP= (7.5,2) or another way of it [tex]MP= (\frac{15}{2},2 )[/tex]

Step-by-step explanation:

Midpoint formula: [tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{6+9}{2}),(\frac{-1+5}{2} )[/tex] 6+9=15  -1+5=4

[tex]MP= (\frac{15}{2}),(\frac{4}{2} )[/tex] 15/2=7.5 4/2=2

[tex]MP= (7.5,2)[/tex]

Answer:

The number is 888888

Step-by-step explanation:

Here, we are interested in knowing the six digit number thought of by No time.

The clue we have here is that the six digit number has same value of digit for all its constituent.

Thus, if the digit in the thousands place is 8,000, then it actually means that it carries a value of 8 and thus, all the digits in the number is 8 alone.

So the 6 digit number is 888888

Answer:

[tex](x,y)\rightarrow(x-1,y+2)[/tex]

Step-by-step explanation:

One unit left would be subtracting 1 from the pre-image's x-value.

Two units up would be adding 2 to the pre-image's y-value.

The translation rule would be:

[tex](x-1,y+2)[/tex]

Hope this helps.

The coordinates after the translation of 1 unit left and 2 units up will be (x-1,y+2).

It is described as the alteration of the geometric body's form and coordinates. It is also known as a two-dimensional transformation. Rotation, translation, reflection, and gliding translation are just a few of the geometric transformations that may affect geometry.

It is given that the coordinates of the points are (x,y)

We have to find the coordinates after the translation of 1 unit left and 2 units up.

A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.

The final unit would be to deduct 1 from the x-value of the pre-image. The pre-y-value images would be increased by 2 by moving two units higher.

Thus, the obtained coordinates will be (x-1,y+2).

The question is incomplete.

The complete question is" if the coordinates of the points are (x,y). What will be the coordinates after the translation of 1 unit left and 2 units up?

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Answer:

A. It is 140° because It is supplementary to 40°

It is 140° because it is supplementary to 40°. Then the correct option is A.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Angle ∠A and angle 40° are supplementary angles. Then the equation is given as,

∠A + 40° = 180°

∠A = 140°

The proportion of point ∠A will be 140°. It is 140° in light of the fact that it is strengthening to 40°. Then the right choice is A.

More about the angled link is given below.

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Answer:

5 paper clips each

Step-by-step explanation:

20/4 = 5

Answer:

They each get 5

Step-by-step explanation:

Answer:

The coordinates of S is (-2,2)

Answer:

The values of x and y are;

x = 7 and y = 4.5

Step-by-step explanation:

The question is a word problem, given that the shape of the kite Karl makes is a parallelogram

The coordinates of the vertices are;

D(3, 6), G(1, 3), H(4, y), and E(x, 6)

From the properties of a parallelogram we have;

The diagonals bisect each other

Therefore;

GH = EH = 1/2·GE

Therefore, we have;

The coordinates of the point H = The coordinate of the midpoint of the line EG

The coordinates of the midpoint of a line with end points, (x₁, y₁) and (x₂, y₂) is given as follows;

The coordinates of the midpoint of a line = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Therefore;

The coordinates of the midpoint of the line EG  are ((1 + x)/2, (3 + 6)/2)

Given that the midpoint of EG is the point H and the coordinate of the point H is (4, y), we have;

(1 + x)/2 = 4, therefore;

2 × 4 = 1 + x

8 = 1 + x

x = 8 - 1 = 7

Similarly, we have from the coordinate of point H which is given as follows;

((1 + x)/2, (3 + 6)/2) = (4, y)

y = (3 + 6)/2 = 9/2 = 4.5

Therefore, x = 7, y = 4.5.

Parallel sides of a parallelogram have the same slope

The values of x and y are 6 and 3, respectively.

The coordinate points are given as:

[tex]\mathbf{D =(3,6)}[/tex]

[tex]\mathbf{G =(1,3)}[/tex]

[tex]\mathbf{H =(4,y)}[/tex]

[tex]\mathbf{E =(x,6)}[/tex]

Lines DG and HE are parallel.

This means that they have the same slope (m)

The slope is calculated as:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m_{DG} = \frac{3 - 6}{1 - 3}}[/tex]

[tex]\mathbf{m_{DG} = \frac{- 3}{- 2}}[/tex]

[tex]\mathbf{m_{DG} = \frac{3}{2}}[/tex]

Similarly

[tex]\mathbf{m_{HE} = \frac{6 - y}{x - 4}}[/tex]

The slopes are equal.

So, we have:

[tex]\mathbf{\frac{6 - y}{x - 4} = \frac 32}[/tex]

By comparison:

[tex]\mathbf{6 - y = 3}[/tex] and [tex]\mathbf{x - 4 = 2}[/tex]

Solve for y in [tex]\mathbf{6 - y = 3}[/tex]

[tex]\mathbf{y = 3}[/tex]

Solve for x in [tex]\mathbf{x - 4 = 2}[/tex]

[tex]\mathbf{x = 6}[/tex]

Hence, the values of x and y are 6 and 3, respectively.

Read more about parallelogram and slopes at:

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2(5x - 4)

Perimeter formula

P = 2l + 2w

P = 2(3x - 5) + 2(2x + 1)

= 6x - 10 + 4x + 2

= 10x - 8

= 2(5x - 4)

Answer:

40 cars

Step-by-step explanation:

The total percentage of Ariana's car collection should be = 100%

35% of the collection = 14

1 percent = 14/35

1 percent is therefore 0.4

To get the total number of cars in Ariana's collection, we multiply 100 by 0.4

= 100 x 0.4 = 40

Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.

Another way to solve this is by cross multiplication

35% = 14

100% = ?

When we cross multiply we have:

(100x14)/35

= 1400/35

= 40

Thank you!

Answer: Amy will not have one dollar left over , but she will have to add an extra dollar to buy all that stuff.

Step-by-step explanation:

First find  the cost of the items she want to buy in total.

So she wants to buy 3 pound  of lemons at two dollars per pound that will cost her $6.

Seven frozen dinners for three dollars each will cost her  $21.

The box of rice will cost her  $4.

Add the total cost together.

21 + 4 + 6 = 31  

This means she will have to spend $31 in total and that is beyond her budget which is $30  dollars. This also means that Amy will not have one dollar left over but she will need to add one dollar.

Answer:

Amy won't have 1 dollar left, she will actually need 1 dollar because all of that would be 31 dollars.

Step-by-step explanation:

3 pounds of lemons= $6

1 box of rice= $4

7 frozen diners= $21

6+4=10

10+21=31

Answer:

false

Step-by-step explanation:

Because in a counterexample if 10 is divisible by 2 but not by 6 then it is false.

Answer:

200 pages in 150 minutes.

Answer:

25,722 yen

Step-by-step explanation:

300x85.74 is the simplest way to do this and I am just adding words to compete this

Answer:

85.74 x 300 $ = 25722 Yem

Answer:

33.75

Step-by-step explanation:

Every box has a height of 2.25 feet so if you multiply 2.25 times 15, you get 33.75.

I hope this helped!

Answer:

no

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

15 divided by 6 equals 2.5

Answer:

C.) 2x+3 = 12

Step-by-step explanation:

x+x=2x

2x-(-3) is 2x+3

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A signed number to represent a given population change is -43,000.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Since the population of a certain city decreased by 43,000 people.

The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.

Thus, we can population change is shown by -43,000.

Hence, a signed number to represent this population change is -43,000.

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Answer:

Step-by-step explanation:

let 4 no:s be x, 3x, 5x, 7x

given, x+3x+5x+7x=80

        16x = 80

        x = 80/16

    therefore, x=5

so,   x=5  

    3x=15

    5x= 25

    7x= 35

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Answer:

Step-by-step explanation:

4x - 9 = 9x - 34

-5x - 9 = -34

-5x = -25

x = 5

4(5) - 9 + 9(5) - 34

20 - 9 + 45 - 34

11 + 11 = 22

The value of CT such that J is the midpoint of CT will be 22.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

J is the midpoint of CT

CJ = JT

4x - 9 = 9x - 34

-9 + 34 = 9x - 4x

25 = 5x

x = 5

So CT = 2(CJ) = 2(4 x 5 - 9) = 22

Hence "The value of CT such that J is the midpoint of CT will be 22".

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