What's the value of the expression 10/12 + (- 8/9)

Answer- This is a fairly simple calculation, I got a -1/5,

Step-by-step explanation:

This is the way solved it, just substitute the x value for 1, and just solve.  Hope it helps.

Answer:

an ordered pair

the point where all the lines intersect (which is located by the ordered pair above)

No solutions (in case for example you have parallel lines, so no point there they intersect)

Infinitely Many Solutions (this is when for example you have one single equation, each point of the line is a solution and there are infinite points)

Step-by-step explanation:

basically a "system" means finding a solution that is valid for each equation, like a logical AND

so in this case it means finding a point that lies on each line, and that point can only exists (the intersection of those lines) or not exist (they are parallel)

if the system is made of one single linear equation then you have infinite solutions

Answer:

Option D

Step-by-step explanation:

[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]

[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]

[tex] = > \frac{7x}{4} = 21[/tex]

[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]

Answer:

First polygon has 16 sides

Second polygon has 24 sides

Step-by-step explanation:

Let the number of sides for first polygon be a and that for the second polygon be b

formula for sum of interior angle is;

180n-360

So for individual interior angle we have;

(180n-360)/n

So for polygon A

(180a-360)/a

For polygon B

(180b-360)/b

Let’s divide both to equate to the ratio

(180a-360/a)/(180b-360)/b) = 21/22

Factor out 180

(a-2)/a * b/b-2 = 21/22

b(a-2)/a(b-2) = 21/22

22b(a-2) = 21a(b-2) •••••• (i)

For the second part

Sum of exterior angle of any polygon is 360

Individual exterior angle is 360/n

for the first polygon;

360/a ;

For the second 360/b

Thus;

b/a = 3/2

2b = 3a ••••••••(ii)

b = 3a/2

11(2b)(a-2) = 21a(b-2)

11(3a)(a-2) = 21a( 3a/2-2)

33a(a-2) = 21a(3a-4)/2

22a(a-2) = 7a(3a-4)

22a^2 - 44a= 21a^2-28a

22a^2-21a^2+28a - 44a = 0

a^2 + 28a - 44a = 0

a^2 -16a = 0

a(a-16) = 0

a = 0 (which cannot be)

or a-16 = 0

a = 16

Recall;

b = 3a/2

b = 3(16)/2

b = 24

Answer:

False

Step-by-step explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

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

  =(-4-(-9))/(0-(-2))

  =5/2

between (0, -4) and (3,6):

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

  =(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)

Answer:

-15

Step-by-step explanation:

3*-7=-21+6=-15

Answer:

Step-by-step explanation:

first multiply -7 and 3 since -7 is the element of the function (x)

then you should get (-21)

now add 6 and you answer should be (-15)

Answer:

24

Step-by-step explanation:

Given that:

Cost of each Enerbar = 30p

Number of Enerbars = 50

Cost of each grain bar = 50p

Number of grain bars = 150

Number of Amazebars = 50

Cost of each Amazebar = 0p (Because it was given as promotion)

Sales price of each bar = £2.20

Total profit earned = £402.80

All other bars were sold but Amazebars.

To find:

How many Amazebars were sold?

Solution:

First of all, let us have a look at the profit earned by selling each type of bar.

Profit is nothing but the difference between sales price and cost price.

Profit at selling each Enerbar = £2.20 - 30p = £1.90

Profit at selling 50 Enerbars = £1.90 [tex]\times[/tex] 50 = £95

Profit at selling each grain bar = £2.20 - 50p = £1.70

Profit at selling 50 grain bars = £1.70 [tex]\times[/tex] 150 = £255

Profit by selling Enerbars and grain bars = £95 + £255 = £350

Profit by Amazebars = £402.80 - £350 = £52.8

Number of Amazebars sold = Profit by Amazebars divided by Profit by selling one Amazebar

[tex]\Rightarrow \dfrac{\£52.80}{\£2.2}\\\Rightarrow \bold{24}[/tex]

Answer:

Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water

Step-by-step explanation:

The amount that Harold and Jake will get is $2 and $3, respectively.

A ratio shows us the number of times a number contains another number.

Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 40 ounces of water / 3 person

                             = (40/3) ounces per person

Thus, Greg will get (40/3) ounces of water from Harold.

Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 60 ounces of water / 3 person

                             = (60/3) ounces per person

Thus, Greg will get (60/3) ounces of water from Harold.

Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,

(40/3)x + (60/3)x = $5

(40x + 60x)/3 = 5

100x = 5 × 3

x = 15/100

Furthermore, the money each of two will get is,

Amount that Harold will get,

(40/3)x

= (40/3) × (15/100)

= $2

Amount that Jake will get,

(60/3)x

= (60/3) × (15/100)

= $3

Hence, the amount that Harold and Jake will get is $2 and $3, respectively.

Learn more about Ratios here:

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Step-by-step explanation:

If the perimeters could be equal,

then 4(x + 3) = 2(x + 4 + x + 1).

=> 4x + 12 = 2(2x + 5)

=> 4x + 12 = 4x + 10

However 12 =/= 10 for all real values of x. Hence their perimeters can never be equal.

Answer:

You will pay $19.6 for a item with original price of $24.50 when discounted 20%. In this example, if you buy an item at $24.50 with 20% discount, you will pay 24.50 - 4.9 = 19.6 dollars.

Step-by-step explanation:

Answer:

10 5

Step-by-step explanation:

Answer:  Yes

Step-by-step explanation:

First find the unit rate by find the cost per box.

To find the cost per post you will divide the cost by the number of boxes.

5/ 2 = 2.5

7.50/ 3  = 2.5  

2.5  is indeed equal to 2.5 so they are equivalent.

Answer:

90000

Step-by-step explanation:

this baby has big brain

Answer:

Believe it or not, it would be 60 degrees.

Step-by-step explanation:

Here, we are working with ALTERNATE INTERIOR ANGLES. Since we know the beam supports for the top and bottom are parallel, 1&2 will be the same angle measurement.

Here is a diagram of an example of alternate interior angles, where m1=m2.

Answer:

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

4.05768272

Step-by-step explanation:

Answer:  168 child tickets were sold.

Step-by-step explanation:

Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.

Let the number of child tickets = 4x , teen tickets = x , adult tickets = 2x

Total tickets = x+4x+2x = 7x =294

[tex]\Rightarrow\ x=\dfrac{294}{7}\\\\\Rightarrow\ x=42[/tex]

Number of child tickets = 4(42) = 168

Hence, 168 child tickets were sold.

Answer:

2,047,291,874,697,000,000,000,000

Step-by-step explanation:

that is the answer to the multiplication statement xD

Answer:

4cm

Step-by-step explanation:

The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,

                                     V = πr²h

where V is volume, r is the radius, and h is the height.

Substituting the known values from the given,

                                 176π cm³ = πr²(11 cm)

Answer:

nick's number = 91

eddie's number = 39

Step-by-step explanation:

n = nick's number

[tex]\frac{3}{7}[/tex]n = eddie's number

[tex]\frac{7}{7}[/tex]n - [tex]\frac{3}{7}[/tex]n = 52

[tex]\frac{4}{7}[/tex]n = 52

cross-multiply:  4n = 52(7)

                         4n = 364

                          n = 364/4 = 91

eddie's number:  [tex]\frac{3}{7}[/tex] · 91 =  273/7 = 39

Nick's number is 91

Eddie's number is 39

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given,

Eddie's number is 3/7 of Nick's number

Let Nick's number be x

Then Eddie's number = 3x/7

Difference of the numbers is 52

x - 3x/7 = 52

(7x - 3x)/7 = 52

4x/7 = 52

4x = 52×7

x = 364/4

x = 91

Another number = 3x/7

                            = 3(91)/7

                            = 3 × 13

                            = 39

Hence, 91 is Nick's number and 39 is Eddie's number.

Learn more about expression here:

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Answer:

3920

Step-by-step explanation:

(9+11)(14•14)

(20)(196)

20 x 196

3920

Answer:

3920

Step-by-step explanation:

According to the question ,

x = 14 ; y = 9 ; z = 2

So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]

[tex] = > (9 + 11)( {14}^{2} )[/tex]

[tex] = > 20 \times 196 = 3920[/tex]

Answer:

a) y = -6/x has a vertical asymptote at x = 0

b) y = 1/(2·x) - 1 has two asymptotes;

1) A vertical asymptote at x = 0

2) A horizontal asymptote at y = -1

Step-by-step explanation:

The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity

a) The given equation is y = -6/x

Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0

b) The given equation is y = 1/(2·x) - 1

∴ y = (1 - 2·x)/(2·x)

The function has a vertical asymptote at x = 0

The function has an horizontal asymptote at y = -2/2 = -1

Answer: Laundry = $2

Dishes= $1

Step-by-step explanation:

Let the amount paid for doing laundry be x

Let the amount paid for doing dishes be y.

Based on the information in the question, this can be formed in an equation as:

5x + 8y = 18 ..... i

4x + 6y = 14 ...... ii

Multiply equation i by 4

Multiply equation ii by 5

20x + 32y = 72 ...... iii

20x + 30y = 70 ...... iv

Subtract iv from iii

2y = 2

y = 2/2 = 1

Dishes cost $1

Since 5x + 8y = 18

5x + 8(1) = 18

5x = 18 - 8

5x = 10

x = 2

Laundry cost $2

Answer:

The range is: 7

Step-by-step explanation:

Given the data set

6, 7, 13, 10

Sorting in ascending order

6, 7, 10, 13

We know that the range is the difference between the highest and lowest values in a set of numbers.

Here:

Thus,

Range = Highest Value - Lowest Value

           = 13 - 6

           = 7

Therefore, the range is: 7

Answer:

Two Integers

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

464 / 7.25 = 64

Answer:

2309

Step-by-step explanation:

V=[tex]\pi r^{2} h[/tex]

plug in

V=2309.07