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Hoochie [10]
1 year ago
13

The equation y=1/2xrepresents a proportional relationship. What is the Constant of proportionality? A:x. B:1/2 C:2 D:0

Mathematics
1 answer:
Ad libitum [116K]1 year ago
8 0
\begin{gathered} y=\frac{1}{2}x \\ So\text{, the constant rate is }\frac{1}{2} \end{gathered}

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Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 8 – (–6)
Sauron [17]

We draw 10 white tiles.

Then we shade in 9 of them.

We count the remaining tiles to get the answer, which is 1.

4 0
3 years ago
Read 2 more answers
An integer is three more than another integer. Twice the larger integer is two less
Amiraneli [1.4K]

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

3 0
3 years ago
Nitric acid (specific gravity 1.42) costs $51.95 per liter. A student spills 5.112 kg of nitric acid in the laboratory, what is
Leno4ka [110]

Answer:

The cost of wasted nitric acid is $187.02

Step-by-step explanation:

Since it is given that specific gravity of Nitric Acid is 1.42 Thus the density of nitric acid is

\rho _{acid}=S.G\times \rho _{water}\\\\\\\rho_{acid}=1.42\times 1\frac{g}{cm^3}\\\\\rho_{acid}=1.42g/cm^3

Now from the basic relation of mass volume and density we have

\rho =\frac{Mass}{Volume}\\\\\therefore Volume=\frac{Mass}{\rho }

Since the mass of the nitric acid is given to be 5.112 kg = 5112 grams

Thus the volume of nitric acid is

Volume=\frac{5112}{1.42}=3600cm^3

Now we know that 1000 cubic centimeters euals 1 litrer

Thus the calculated volume in liters is

V_{liters}=\frac{3600}{1000}=3.6Liters

Thus the cost of acid spilled  equals

Cost=3.6\times 51.95=187.02

5 0
3 years ago
Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays
lukranit [14]

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

(23706.3 - 23568.7) / 12.6

= 10.920634

= 10.9 miles per gallon

6 0
2 years ago
The probability that a 38-year-old white male will live another year is .99813. What premium would an insurance company charge t
alukav5142 [94]

Answer:

The insurance company should charge $1,873.5.

Step-by-step explanation:

Expected earnings:

1 - 0.99813 = 0.00187 probability of the company losing $1 million(if the client dies).

0.99813 probability of the company earning x(price of the insurance).

What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy?

Break even means that the earnings are 0, so:

0.99813x - 0.00187(1000000) = 0

0.99813x = 0.00187(1000000)

x = \frac{0.00187(1000000)}{0.99813}

x = 1873.5

The insurance company should charge $1,873.5.

4 0
2 years ago
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