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Anton
1 day ago
15

Limes are on sale. That sale price is 8 limes for $2.00. Why could the unit rate be 4 or 0.25?

Mathematics
1 answer:
babunello [3.6K]1 day ago
4 0

Answer:

C. No, since the price for each lime will be slightly above 30¢, meaning that purchasing 4 limes would result in a total cost that exceeds $1.20.Step-by-step explanation:

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If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
Leona [4166]
The constant of variation is 5 because 4 multiplied by 5 equals 20.
6 0
13 days ago
Read 2 more answers
What is the density of the solid object that is weighed and submerged in water? The object's weight is 8.24g and is placed in a
Zina [3914]

Density (D) is calculated as mass (m) divided by volume (v).
                                   D = m / v
The volume change is determined by measuring the water level before and after the object is introduced to the beaker,
                                   v = 23.1 mL - 18.5 mL = 4.6 mL
Substituting into the density formula,
                                   D = 8.24 g / 4.6 mL = 1.79 g/mL
Therefore, the density is roughly 1.79 g/mL. 

7 0
12 days ago
A surveyor leaves her base camp and drives 42km on a bearing of 32 degrees. She then drives 25km on a bearing of 154 degrees. Ho
Svet_ta [4321]

Answer:

35.7 km and 248.3 °

Step-by-step explanation:

To clarify, I will include a diagram as an image.

We begin with the cosine law formula:

y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)

y² = 2389 - 1112.83 = 1276.17

y = √1276.17

y = 35.72 km

Next, to find the bearing of the surveyor from her camp, we apply the sine law:

[(Sin 58 °) / y] = [(Sin A) / 42]

Here, A = (42 * sin 58 °) / 35.72

A = sin⁻¹ (0.9971)

A = 85.7 °

The bearing from the base camp now calculates to: 270 ° - (85.7 ° - 64 °) = 248.3 °

4 0
4 days ago
Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?
PIT_PIT [3919]

Answer:

  • No, the second machine (function B) can produce an output of 0, while the first machine (function A) cannot.

Explanation

The functionality of each machine is dictated by the expression it operates under.

1)  Function A:

To achieve an output of 0 with the equation y = x² + 3, one would need to resolve the equation x² + 3 = 0.

Given that x² is always non-negative for any real number, x² + 3 will always be at least 3, meaning an output of 0 is unattainable with the first machine.

2) Function B:

By solving y=\sqrt{x}-2=0

  • \sqrt{x}-2=0

  • \sqrt{x} =2

  • x=2^{2}

  • x=4

Thus, utilizing x = 4 will yield an output of 0 with this machine.

4 0
9 days ago
A rectangular prism has a volume of 170 cubic centimeters. The length of the prism is 5 centimeters, and the height of the prism
Inessa [3907]

Answer:

The prism's width is 2 cm

Step-by-step explanation:

The parameters provided are;

Volume of the prism = 170 cm³

Length of the prism = 5 cm

Height of the prism = 17 cm

The formula for the volume of the prism can be expressed as v = Length, l × Height, h × Width, w

Thus;

Volume = 5 cm × 17 cm × w = 170 cm³

Solving for width gives;

w = 170 cm³ / (5 cm × 17 cm) = 170 cm³ / (85 cm) = 2 cm

∴ Therefore, the prism's width = 2 cm.

7 0
4 days ago
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