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3 years ago

The quotient of n and 7 is 6 times n.

Mathematics

2 answers:

Verdich [7]3 years ago

6 0

Answer:n ÷ 7 = 6n

Step-by-step explanation:

makvit [3.9K]3 years ago

5 0

Answer:

76 + n

Step-by-step explanation:

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Keith has $500 in a savings account at the beginning of

k0ka [10]

Answer:

500-25w $\geq$ 200

Step-by-step explanation:

3 0

3 years ago

The maximum load of a horizontal beam that is supported at both ends varies jointly as the width and the height and inversely as

dezoksy [38]

Answer:

$360kg$

Explanation:

Here, we want to get the maximum load supported

From the first part of the question, we have it that:

The maximum load g, varies jointly with the width w and the height h, and inversely as the length l between the supports

Mathematically, we have that as:

$g\text{ = k }\times\frac{wh}{l}$

where k is the proportionality constant

Now, let us get the value of k

We substitute the first set of values as follows:

$\begin{gathered} 360\text{ = }\frac{k\times0.1\times0.06}{6} \\ \\ k\text{ = 360,000 }\frac{kg}{m} \end{gathered}$

Now, using this value of k, we want to get the value of g

Mathematically, we have that as:

$g\text{ = }\frac{360,000\times0.2\times0.08}{16}\text{ = 360 }kg$

8 0

1 year ago

Daniel kicks a soccer ball and the trajectory is modeled by f(t) =− 16t^2+ 32t .

vagabundo [1.1K]

Answer:

f(1) = 16

Domain: 0 ≤ t ≤ 2

Step-by-step explanation:

Given

f(t) = -16t²+ 32t

Solving (a): f(1)

Substitute 1 for t in f(t)

f(t) =− 16t²+ 32t .

f(1) =− 16 * (1)²+ 32 * 1

f(1) = -16 * 1 + 32

f(1) = -16 + 32

f(1) = 16

Solving (b): The domain

The implication of the given parameter in (b) is that t ≤ 2.

Since t represents time, t can't be negative.

Hence, a reasonable domain is

0 ≤ t ≤ 2

3 0

3 years ago

If DA = 6 and MD = 4, what is the length of DK?

Leto [7]

Answer:

DK = 9

Step-by-step explanation:

In triangle AMD,

h² = p² + b²

or, h² = 6² + 4²

or, h²= 36 + 16

so, h² = 52

so, AM² = 52

Take x as reference angle,

cos²x = 16/52

Now,

In triangle, AMK,

Taking x as reference angle,

cos²x = b²/h²

cos²x = AM²/MK²

or, cos²x = 52/MK²

Now,

cos²x = 16/52 = 52/MK²

or,

16/52 = 52/MK²

or, 16MK² = 2704

or, MK² = 2704/16

or, MK² = 169

so, MK = 13

Now,

DK = MK - MD

or, DK = 13 - 4

so, DK = 9

3 0

3 years ago

Harrison has 90 CDS in his music collection. If 40% of those CDS are country music and 50% are pop, how many CDS are other types

Ksenya-84 [330]

10% CDS are other types of music

4 0

3 years ago