Assume that y varies inversely as x. If y = 16 when x = 4, find y when x = 6.

Answer:

Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.

Step-by-step explanation:

Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet

                                                    = [tex]\frac{23}{8}[/tex] square feet

Area of rectangle is given by,

Area = Length × Width

Length of the banner = [tex]\frac{3}{4}[/tex] feet

From the formula,

[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]

W = [tex]\frac{\frac{23}{8} }{\frac{3}{4} }[/tex]

    = [tex]\frac{23}{8}\times \frac{4}{3}[/tex]

    = [tex]\frac{23}{6}[/tex]

     = [tex]3\frac{5}{6}[/tex] ft

Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft

Answer:

a=0

b=-8

c=-16

d=0

e=-3

f=-6

Step-by-step explanation:

Answer:

Mind Making A New So We Can Help?

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

The perimeter is adding each side together, the equation is 3+33+15+33+3+10

Answer:

it's 8ft

Step-by-step explanation:

1=4 2=8just put 2and2 together

Answer:

Probably mean.

Step-by-step explanation:

The median is the middle number (in this case, 19) and the mean is the average of all the numbers

Answer:

Problem 27: 35

Step-by-step explanation:

This is because 7 times (Multiplied) by 9-4 is 35. We get here by doing 9-4=5. This problem then turns into 7(5)

Answer:

15

Step-by-step explanation:

three times five = fifteen and height is 1

Answer:

15

Step-by-step explanation:

multiply the length x width x height

The mass of each bag of flour is 2 kg.

In physics, mass is a quantitative measure of inertia, which is a fundamental property of all matter. In the International System of Units, a kilogram is a unit of mass (SI).

Given that the mass of each bag of rice is 1.2 kg. We can see that there are 5 and 3 bags containing rice and flour respectively. First, we have to calculate the total weight of the right side of the weight machine. Then we equate it with the total weight of the left side of the weight machine.

Let, the mass of each bag of flour be y kg.

Now,

Weight of the right side = Weight of the left side

i.e. number of rice bags × mass of rice bags = no. of flour bags × mass of flour bags

i.e. 5 × 1.2 = 3 × y

i.e. 3y = 6.0

i.e. y =6/3=2

So, the mass of each bag of flour is 2 kg.

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Answer:

137

Step-by-step explanation:

38 + 48 = 86

86/2 = 43

180 - 43 = 137

Answer:

answer C

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line, or just secant.

A diameter is also a chord.

Answer:

x=120 (opp. angles of //gram)

Step-by-step explanation:

Because DA//CB and AB//DC (given)

Therefore ABCD is a parallelogram (opp. sides equal)

Therefore,

∠DAB = ∠DCB (opp. ∠s of //gram)

x = 120

Answer:

b. (4,2)

Step-by-step explanation:

step one: isolate x in the first equation

substitute x=6-y: [tex]\begin{bmatrix}2\left(6-y\right)-2y=4\end{bmatrix}[/tex]

[tex]\begin{bmatrix}12-4y=4\end{bmatrix}[/tex]

[tex]-4y=-8[/tex]

[tex]y=2[/tex]

step two: isolate y in the second equation, substitute y=2

[tex]x=6-y[/tex]

[tex]x=6-2[/tex]

[tex]x=4[/tex]

Answer:

b

Step-by-step explanation:

Given the 2 equations

3x + 3y = 18 → (2)

2x - 2y = 4 → (2)

Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term

6x + 6y = 36 → (3)

6x - 6y = 12 → (4)

Add (3) and (4) term by term to eliminate y

12x + 0 = 48

12x = 48 ( divide both sides by 12 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

3(4) + 3y = 18

12 + 3y = 18 ( subtract 12 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (4, 2 ) → b

Answer:

x^4 - 2x^2 + 3

Step-by-step explanation:

Rearrange the terms so that they are in descending order by powerss of x;

Highest power is 4:  x^4, followed by x^2 and then the constant, x:

-2x^2 + x^ 4+ 3 =  x^4 - 2x^2 + 3 (answer)

Answer:

The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°

Step-by-step explanation:

Let the angle be equal to x°. We know that

[tex](180 - x) = 3(90- x)[/tex]

Therefore, solving for x, we have

[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]

So the angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°

Answer:

The length of the missing side is 7x-5

Step-by-step explanation:

Here, we want to get the value of the missing length

Mathematically, the perimeter of a triangle can be obtained by adding the lengths of its sides

So by subtracting the sum of the lengths of the two given sides from that of the perimeter, we get the length of the third side of the triangle

mathematically, we have this as;

13x-7 -(4x + 2 + 2x-4)

13x-7 - (4x + 2x + 2-4)

= 13x-7 - (6x -2)

= 13x -7 -6x + 2

= 13x-6x -7 + 2

= 7x -5

The cost of petrol the car used in October is;

Amount spent on fuel in October = £79.76

Distance sally drove in October = 560 miles

She used 1 gallon of petrol for every 34.5 miles she drove.

Thus, number of gallons of petrol she used for the month of October on the car = 560/34.5 gallons

Now, we are told that;

1 gallon = 4.55 litres

Thus; 560/34.5 gallons = (560/34.5) × 4.55/1

Quantity of petrol she used for the month in liters = 73.855 litres

Petrol costs £1.08 per liter.

Thus;

Amount spent on fuel in October = 1.08 × 73.855

Amount spent on fuel in October = £79.7634 ≈ £79.76

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Answer:

y=70° x=11

Step-by-step explanation:

.............ur welcome...........

Answer:

x=60°

Step-by-step explanation:

x=x(vertically opposite angles)

Now,

x+120°=180°

x=180°-120°

x=60°

Answer:

the probability of landing a 5 is unlikely

Step-by-step explanation:

Answer:

3.65

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

find x.

1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))

Answer:

The answer is1 thank you

she will need two more hours to buy the dress

Answer:

Number is is A Number 2 is 77 trust ik math