Answer:
3000 text messages can be sent without breaking the budget.
Step-by-step explanation:
Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:
(140 - 50) / 0.03 = X
90 / 0.03 = X
3000 = X
Therefore, 3000 text messages can be sent without breaking the budget.
The ratio of the heights of these pyramids is 3 : 1, the ratio of the base areas is 9 : 1 and the ratio of the volumes is 27 : 1.
<h3>What is ratio?</h3>
Ratio can be defined as a mathematical expression which denotes the proportion of two (2) or more physical quantities to one another and the total quantities.
The ratio of the heights of these pyramids is given by:
Ratio = Height of pyramid A : Height of pyramid B
Ratio = (3V/lw) : (V/lw)
Ratio = 3 : 1.
The ratio of the base areas of these pyramids is given by:
Ratio = Base area of pyramid A : Base area of pyramid B
Ratio = (3a)² : a²
Ratio = 9a : a
Ratio = 9 : 1.
The ratio of the volumes of these pyramids is given by:
Ratio = Volume of pyramid A : Volume of pyramid B
Ratio = (3l × 3w × 3h)/3 : (l × w × h)/3
Ratio = 27 : 1.
Read more on pyramid here: brainly.com/question/16315790
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Answer:
To convert centimeters to meters, multiply the centimeter value by 0.01 or divide by 100. For example, to find out how many meters there are in 10 centimeters, multiply 10 by 0.01, that makes 0.1 meter in 10 cm. What is a Centimeter? Centimeter (centimetre) is a metric system length unit. 1 cm = 0.01 m.
Step-by-step explanation:
We will see that the cube must be 10.23 inches tall.
<h3>
How tall is the cube?</h3>
The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:
V = (4/3)*3.14*R^3
In this case, the radius is 4 inches, so we can write:
V = (4/3)*3.14*(4 in)^3 = 267.95 in^3
Then the volume of the 4 spheres is:
4*267.95 in^3 = 1,071.79 in^3
The volume of a cube of side length S is given by:
V = S^3
Then we must have:
S^3 = 1,071.79 in^3
S = ∛(1,071.79 in^3) = 10.23 in
We conclude that the cube is 10.23 inches tall.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
y = -2x -1
Step-by-step explanation:
y-5=-2(x+3)
Distribute -2 × x and -2 × 3
y - 5 = -2x -6
y + 5 = -2x -6
y = -2x - 1
