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frosja888 [35]
3 years ago
12

A right rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters. What is the vo

lume of the prism? Enter your answer in the box. cm³
Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer:

140

Step-by-step explanation:

volume of a rectangular prism,

LxWxH

therefor, 7x5x4 =

140.

hope this helps

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3 0
2 years ago
Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.
kow [346]

Answer:

k = 4, y = 4x

Step-by-step explanation:

From the question, we get the ratio of :

x : y = 1 : 4

Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.

In the question, the two variables are :

x = glasses of lemonade

y = lemons used

From the question, the ratio of y is to x is given by :

y : x is   24 : 6 = 4 : 1     or   24/6 = 4

            32 : 8 = 4 : 1     or   32/8 = 4

            28 : 7 = 4 : 1     or   28/7 = 4

             8 : 2 = 4 : 1      or   8/2 = 4

            16 : 4 = 4 : 1     or   16/4 = 4

So here the constant is 4 . Therefore, the constant of proportionality, k is 4.

So we can write the equation as :

y = kx

or y = 4x

7 0
3 years ago
A baker has 14.6 pounds of flour and 5 5/4 pounds of butter.How many more pounds of flour than butter does the baker have.
navik [9.2K]

Answer:

8.35

Step-by-step explanation:

Butter : 5 5/4 = 25/4 = 6.25

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= 8.35

6 0
3 years ago
Which function is equivalent to the inverse of y=sec(x)
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6 0
3 years ago
Read 2 more answers
Write the quadratic equation whose roots are 6 and 3, and whose leading coefficient is 4
nekit [7.7K]

If α and β are the Roots of a Quadratic Equation ax² + bx + c then :

✿  Sum of the Roots : α + β \mathsf{= \frac{-b}{a}}

✿  Product of the Roots : αβ \mathsf{= \frac{c}{a}}

Let the Quadratic Equation we need to find be : ax² + bx + c = 0

Given : The Roots of a Quadratic Equation are 6 and 3

⇒ α = 6 and β = 3

Given : The Leading Coefficient of the Quadratic Equation is 4

Leading Coefficient is the Coefficient written beside the Variable with Highest Degree. In a Quadratic Equation, Highest Degree is 2

Leading Coefficient of our Quadratic Equation is (a)

⇒ a = 4

⇒ Sum of the Roots \mathsf{: (6 + 3) = \frac{-b}{4}}

⇒ -b = 9(4)

⇒ b = -36

⇒ Product of the Roots \mathsf{: (6 \times 3) = \frac{c}{4}}

⇒ c = 18 × 4

⇒ c = 72

⇒ The Quadratic Equation is 4x² - 36x + 72 = 0

8 0
3 years ago
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