which number is equivalent to 47/9

Answer:

d

Step-by-step explanation:

The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.

We can check each ordered pair given to see if it satisfies this equation:

For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.

This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.

For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.

Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.

For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.

This satisfies the equation and the fee is positive, so this is a viable solution.

For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.

This satisfies the equation and the fee is positive, so this is also a viable solution.

Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).

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Answer:

graph A.

Step-by-step explanation:

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

Answer:

11,44,83

Step-by-step explanation:

4y+7y+6=116(exterior angle is equal to sum of two opposite interior angle in traingle)

11y=116-6

y=110÷11=11

4y=4×11=44

7y+6=7×11+6=83

Answer:

what is the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

How do you know if side lengths form a Pythagorean triple?

Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.

Answer:

Unlike terms.

Step-by-step explanation:

[2y2 does not equal -4y2], much like 5 does not equal 6, vice versa.

Answer:

364

Step-by-step explanation:

265.72 ÷ 0.73 is 364

Check:

364 x 0.73

265.72

Answer:

67 gallons.

Step-by-step explanation:

To determine how many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze, the following calculation must be performed:

0.15 x 90 + 0.70 x 10 = 20.5 / 100 = 0.20

0.15 x 90 + 0.70 x 30 = 34.5 / 100 = 0.34

0.15 x 90 + 0.70 x 60 = 55.5 / 100 = 0.55

0.15 x 90 + 0.70 x 67 = 60.4 / 100 = 0.60

Thus, 67 gallons of 70% antifreeze solution will be needed to achieve a 60% mix of that solution.

Answer:

C. x divided by 5 times 5

Answer: A

Step-by-step explanation: X is a variable is does not actually have a value also because 10/2 =5 and that's the same as x 5 or 5 x

9514 1404 393

Answer:

  no, the triangles are not similar

Step-by-step explanation:

The given ratios tell you corresponding side ratios are ...

  ED : DC : EC = 8 : 10 : 12 = 4 : 5 : 6

  AB : BC : AC = 12 : 15 : 21 = 4 : 5 : 7

Corresponding sides do not have the same ratios. The given information can be used to prove the triangles are NOT similar.

Answer:

64

Step-by-step explanation:

Answer:

then answer is 13/12

Step-by-step explanation:

(8+5)/12

13/12

Answer:

JOSHUA

Step-by-step explanation:

J

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

Answer:

The first 4 terms of the sequence are: 3, 9, 81, 6561

Step-by-step explanation:

We are given the following recursive function:

[tex]f(n) = [f(n-1)]^{2}[/tex]

And the following initial condition:

[tex]f(1) = 3[/tex]

The second term of the sequence is:

[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]

The third term of the sequence is:

[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]

The fourth term of the sequence is:

[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]

The first 4 terms of the sequence are: 3, 9, 81, 6561

Given:

The three vertices of parallelogram DEFG are D(-4, - 2), E(-3, 1) and F(3, 3).

To find:

The coordinates of vertex G.

Solution:

Let the coordinates of vertex G are (a,b).

We know that, diagonal of parallelogram bisect equal other. It means, the midpoints of both diagonals are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Two diagonals of the parallelogram DEFG are DF and EG.

[tex]\text{Midpoint of DF}=\text{Midpoint of EG}[/tex]

[tex]\left(\dfrac{-4+3}{2},\dfrac{-2+3}{2}\right)=\left(\dfrac{-3+a}{2},\dfrac{1+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{-3+a}{2},\dfrac{1+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-3+a}{2}=-\dfrac{1}{2}[/tex]

[tex]-3+a=-1[/tex]

[tex]a=-1+3[/tex]

[tex]a=2[/tex]

And,

[tex]\dfrac{1+b}{2}=\dfrac{1}{2}[/tex]

[tex]1+b=1[/tex]

[tex]b=1-1[/tex]

[tex]b=0[/tex]

Therefore, the coordinates of vertex G are (2,0).

The coordinates of vertex G of parallelogram DEFG is: (2, 0).

Recall:

The given vertices of parallelogram DEFG are:

D(-4, - 2), E(-3, 1) and F(3, 3)

Let (x, y) = coordinates of vertex G.

DF and EG are diagonals of parallelogram DEFG, therefore:

Find midpoint of D(-4, - 2) and F(3, 3) using  [tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]:

 [tex](\frac{-4 + 3}{2}, \frac{-2 + 3}{2}) = (\frac{-1}{2}, \frac{1}{2})[/tex]

Find midpoint of E(-3, 1) and G(x, y) using  [tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]:

 [tex](\frac{-3 + x}{2}, \frac{1 + y}{2})[/tex]

Make the midpoint of DF equal to the midpoint of EG, then solve for x and y.

[tex]\frac{-1}{2}, \frac{1}{2} = \frac{-3 + x}{2}, \frac{1 + y}{2}[/tex]

[tex]\frac{-1}{2} = \frac{-3 + x}{2}[/tex]

[tex]2(-1) = 2(-3 + x)\\\\-2 = -6 + 2x\\\\-2 + 6 = 2x\\\\4 = 2x\\\\\mathbf{x = 2}[/tex]

[tex]\frac{1}{2} = \frac{1 + y}{2}[/tex]

[tex]2(1) = 2(1 + y)\\\\2 = 2 + 2y\\\\2 - 2 = 2y\\\\0 = 2y\\\\\mathbf{y = 0}[/tex]

Therefore, the coordinates of vertex G of parallelogram DEFG is: (2, 0).

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Answer:

500,000

Step-by-step explanation:

the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.

have a wonderful  day

Answer:

8x - 40 > 200

Step-by-step explanation:

Answer:

The constant proportionally of the graph is:

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

Answer:

2x+3=11

2x=11-3

x=8/2

x=4........

Answer: [tex]x = 4[/tex]

Step-by-step explanation:

Okay, so we start with our equation.

[tex]2x + 3 = 11[/tex].

Then we need to get x alone. To do that we subtract the 3 on the side with the x.

But what we do to one side, we do to the other. So we subtract 3 from the 11 as well

2x + 3 = 11    

      -3    -3

2x = 8

Then we divide by 2 on both sides to get X.

[tex]\frac{2x}{2} =\frac{8}{2}[/tex]

[tex]\frac{2x}{2} = x[/tex]

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

[tex]x = 4[/tex].

Answer

she worked 1 week and 1 day

Step-by-step explanation

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.

Answer:

Step-by-step explanation:

Answer:

down below

Step-by-step explanation:

3,487, 651

(3 x 1,000,000) + (4 x 100,000) + (8 x 10,000) + ( 7 x 1,000) + (6 x 100 ) +

(5 x 10) + (1 x 1)

Answer:

its d.

Step-by-step explanation:

the other guy is wrong

Using sides of a triangle rule, the inequality gives the range of possible values for x is  5 < x < 9.

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Given that two sides of triangle are 2 and 7 inches.

Let the third side be x inches.

x < 2+7 ⇒ x < 9

7 < 2 + x ⇒ x > 5

2 < 7 + x, which is true for any positive value of x.

Thus,  5 < x < 9.

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Answer: 144

Step-by-step explanation: (2+2+2)(2)(6)(2)