How do I figure of the 7/3 I'm not sure how to add a fraction with a different denomination

Answer:

3244.5

Step-by-step explanation:

LxW=A

Answer:

See below.

Step-by-step explanation:

The domain of a relation are simply its x-values, while the range of a relation are its y-values.

1)

We have the relation:

{(-7,2), (-2,2), (0,1), (4,5)}

Again, the domain of this relation are the x-values. Therefore, the domain is:

{-7, -2, 0, 4}

The range of this relation are the y-values. Therefore, the range is:

{2, 1, 5}

Note that even though the 2 repeats, we only count it once because it's the same.

2)

We have the relation:

{(-4,-1), (-3,-3), (-3,4), (-1,-1), (1,4)}

The domain are the x-values. Therefore, the domain is:

{-4, -3, -1, 1}

Again, the -3 repeats so we only count it once.

And the range would be the y-values:

{-3, -1, 4}

It's customary to place them in ascending order.  

Answer:

If there are two set A and B. All the elements of set A are called domain and all elements of set B are range.And element of B which are maping with set A elements are codomain

Step-by-step explanation:

domains are -7,-2,0,4

range are 2,1,5

I hope this is helpful for you

Answer:

a) 50,000 + 2x > 70,000

Step-by-step explanation:

Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.

If she makes $y commission from sales, Mrs Lobo total income per year is:

$50000 + $y.

She makes 4% commission on her sales of share with the average price of a share = $50

Average commission from sales = 4% × $50 = 0.04 × 50 = $2

If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:

50000 + 2x

The amount of shares Mrs Lobbo must sell to make an annual income of at

least $70,000 is given by the inequality:

50,000 + 2x > 70,000

Answer:

1/3

Step-by-step explanation:

The slope of the line is found by

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

we have two point ( 0,0) and ( 3,1)

   = ( 1-0)/( 3-0)

   = 1/3

Answer:

None of the above

Step-by-step explanation:

In my opinion, I believe the answer is none of the above because

answer A says it has a peak from 10 to 15 km but the graph goes higher than 15 km

answer B says it has a gap from 25 to 30 km but the graph doesn't go that high.

Hope did helps:)

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

Answer:

D) 6,000 square mm

Step-by-step explanation:

To find the surface area of the triangular prism, find the are of each face.

After adding all the sides' together, you get 6,000 square mm.

Answer:

B) x=64, y=21, z=64

Step-by-step explanation:

X=180-116=64

Y cannot equal 115, and one angle is already 95, and that would put it over 180.  The only remaining choice for y=21

z=180-95-21=64

Answer:

90601

Step-by-step explanation:

we have to find  smallest number by which 2408 should be multiplied to get a perfect cube.

First lets find prime factor of 2408 and power these prime factors have

2408 = 2*1204 = 2*2*602 = 2*2*2*301= 2*2*2*7*43

thus,

2408 = 2^3*7*31

we know that a cube is a number raised to the power three

in 2408

2 has a power of three

but 7 and 31 and there is power of one,

thus we need to make

power of 7 and 31 three by multiplying

7 with 7*7

and 31 with 31*31

thus,

2^3*7*31*7*7*31*31 is the minimum cube value for this number

2^3*7*31*7*7*31*31 = 2^3*7^3*31^3 = 2408 * 7^2*31^2 = 2408*90601

Thus, smallest number which should be multiplied with 2408 to make it a perfect cube is 90601

Answer: Undefined

Step-by-step explanation:

In geometry there are three  undefined terms that we use to define other terms:

Hence, the correct option is "Undefined".

Answer:

irrational

Step-by-step explanation:

If a square root is not a perfect square, then it is considered an irrational number.

The square root of the number 34 is not a rational number

From the question, we have the following parameters that can be used in our computation:

The square root of the number 34

When evaluated, we have

The square root of the number 34 = √34

So, we have

The square root of the number 34 = 5.83.....

The above number cannot be represented by the quotient of 2 integers

Using the above as a guide, we have the following:

We can conclude that the number is an irrational number

Read more about rational number at

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Step-by-step explanation:

1.) first simplify or combine like terms.[tex]\frac{3a}{5} -p-\frac{p}{9}+\frac{7p}{3} -\frac{q}{10}+\frac{1}{9}[/tex]

2.) then condense. [tex]\frac{3a}{5} +\frac{11p}{9}-\frac{q}{10}+\frac{1}{9}[/tex].

Answer:

A. (-2,-4)

Step-by-step explanation:

If CR:RB is 2:3, and C is (-4,-7), then R is (-2,-7)

You can stop here because only A has the x value as -2.

If you want to look at the y value also, -4 is 2/5 of the way between -2 and -7, which has the same 2:3 proportion.

Answer:

x=10

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

6.5      (6.5+6.5)

------ = -----------------------

5              x

6.5      (13)

------ = -----------------------

5              x

Using cross products

6.5x = 65

Divide by 6.5

6.5x/6.5 = 65/6.5

x = 10

Answer:

.06x

Step-by-step explanation:

So 20 percent of x has to first be represented. So would do .2x. So then we have to find 30% of that number. So we multiply .2x*.3 and we get 0.06x.

I believe this is correct but tell me if I'm wrong

Answer:

0.06x

Step-by-step explanation:

.2x*.3=0.06x

Answer:

  a = -1

Step-by-step explanation:

The line of symmetry for the parabola given by ...

  y = ax² +bx +c

is

  x = -b/(2a)

Using the given values, we have ...

  -2 = -(-4)/(2a)

Multiplying by -a/2, we get ...

  a = (4/2)(-1/2) = -1

The value of "a" is -1.

Answer:

M=-1, N=7

Step-by-step explanation:

Something went wrong on the 4th line.

From the third line, it should read

2x^2-x+6Mx-3M+4

=x(2x-1+6M) - 3M+4

Equating with the RHS,

2x-1+6M = 2x-7

6M = -7+1 = -6

M = -1

Therefore

N = -3M+4 = -3(-1)+4 = 7

or

M=-1, N=7

Answer:

24 kg

Step-by-step explanation:

40/5 = 8 and 3x8 = 24

Answer:

24 kg

Step-by-step explanation:

[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]

Answer: 12

Step-by-step explanation:

Order requirement:

Size ; flavor and topping

Available variety:

Size = 2

Flavor = 1

Toppings = 6

Number of different ice-cream desserts which can be ordered :

Since one of each of size, topping and flavor must be selected :

(Number of available flavors * number of Toppings available * number of sizes available)

1 * 6 different Toppings = 6 varieties

6 varieties * 2 different sizes = 12 varieties

Therefore, there are 12 different variety of ice-cream dessert she can order.

Answer:

angle CBD=125

Step-by-step explanation:

(8x-41)+(9x+17)=180

17x -24 = 180

17x=204

x=12

9(12)+17=125

Answer:

125

Step-by-step explanation:

The two angles from a straight line so they add to 180

ABC + CBD = 180

8x -41+ 9x+17 = 180

Combine like terms

17x -24 = 180

Add 24 to each side

17x -24+24 = 180 +24

17x = 204

Divide by 17

17x/17 = 204/17

x =12

We want angle CBD

CBD = 9x+17

        = 9*12+17

       =108+17

        = 125

Answer:

26 degrees.

Step-by-step explanation:

From the figure it is clear that HI is the diameter and [tex]acr(GI)=128^{\circ}[/tex]. So,

[tex]\angle GOI=128^{\circ}[/tex]

[tex]\angle GOI+\angle GOH=180^{\circ}[/tex]          (linear pair)

[tex]128^{\circ}+\angle GOH=180^{\circ}[/tex]

[tex]\angle GOH=180^{\circ}-128^{\circ}[/tex]

[tex]\angle GOH=52^{\circ}[/tex]

Using central angle theorem of a circle, we get

[tex]\angle HIG=\dfrac{\angle GOH}{2}[/tex]

[tex]\angle HIG=\dfrac{52^{\circ}}{2}[/tex]

[tex]\angle HIG=26^{\circ}[/tex]

Therefore, the measure of angle HIG is 26 degrees.

Answer:

- 7x

Step-by-step explanation:

Given

(x - 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) - 4(x - 3) ← distribute both parenthesis

= x² - 3x - 4x +  12 ← collect like terms

= x² - 7x + 12

with middle term = - 7x

Answer:

Step-by-step explanation:

= x(x-3) - 4(x-3)

= x²-3x - 4x + 12

= x² -7x +12

So -7x is the middle term

Answer: A

Step-by-step explanation:

Divide each total by 5 to get 5, 200, 20, 2.50.  $5 per value meal is the most fair price.

Hope it helps <3

If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A. If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable.

B. If the total is $1000, then each meal would equal 1000/5 = $200, which is not reasonable

C. If the total is $100, then each meal would equal 100/5 = $20, which is not a reasonable price for a value meal

D. If the total is $10, then each meal would equal 10/5 = $2 which is not a reasonable price for a value meal.

Hence, If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.

Learn more about the unitary method;

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Answer:

it is D. 5

Step-by-step explanation:

The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A

Answer:

[tex]\boxed{Shortest\ Leg = 5}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg

=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg  (Tan 60 = √3)

=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]

=> Shortest Leg = 5

You posted a lot of questions. I'll do the first four problems to get you started.

============================

Problem 1

This sequence is arithmetic because we add the same amount (4) each time to get the next term. The first term is -2. The first five terms are: -2, 2, 6, 10, 14

============================

Problem 2

This sequence is geometric. We multiply each term by 1/4 to get the next term. We start with 8 as the first term. The first five terms are 8, 2, 1/2, 1/8, 1/32.

============================

Problem 3

Similar to problem 1. This time we're adding -19 to each term to get the next one. The starting term is -6. This sequence is arithmetic and the first five terms are -6, -25, -44, -63, -82

============================

Problem 4

Similar to problem 2. This sequence is geometric with common ratio 2/3. First term is 6. The first five terms are 6, 4, 8/3, 16/9, 32/27

Answer:

$ 7.50

Step-by-step explanation:

The cost of the picnic cooler would be 100%.

With the 6% sales tax, Anton would pay 106% of the cost if the picnic cooler.

(since 100% +6%= 106%)

106%(picnic cooler)= $7.95

Cost of picnic cooler= 100%(picnic cooler).

Cost of picnic cooler

[tex] = \frac{7.95}{106} \times 100 \\ = 7.50[/tex]

Thus, he paid $7.50 for the cooler alone.

Answer:

8110

Step-by-step explanation:

80+80+50+50=260

3.14(50)²=7810

7810+260=8110

Answer:

15 pupcakes

Step-by-step explanation:

Purple is 1 out of 4 sections

1/4  times the number of total pupcakes

1/4 * 60

15

==========================================

Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

---------

You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\[/tex]

As you can see, we get the same result and note how 1320/6 is also present as well.

The greatest number of different 3-person teams that can be chosen is 220.

We can use combinations for this case,

The Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Consider the set {A,B,C}.

3*2*1 = 6 ways to arrange this set of letters.

When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC.

We can use the combination formula with n = 12 and r = 3.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^{12}C_3= \dfrac{12!}{3! \times (12-3)!} ways.\\\\\\^{12}C_3= \dfrac{12!}{3! \times (9)!} ways.\\\\^{12}C_3= \dfrac{12 \times 11 \times 10 \times 9}{3! \times (9)!} ways.[/tex]

1320/6 = 220

Thus, the greatest number of different 3-person teams that can be chosen is 220.

Learn more about combinations and permutations here:

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