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umka21 [38]
3 years ago
15

The product of a number and 3 as an expression​

Mathematics
2 answers:
stepladder [879]3 years ago
5 0

Answer:

3x

Step-by-step explanation:

Let the number be 'x'

The product of a number and 3  = 3*x = 3x

matrenka [14]3 years ago
3 0

Answer:

3x

.................

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kotykmax [81]

Answer:

900 square feet

Step-by-step explanation:

5 0
2 years ago
A train leaves the station at time t=0. Traveling at a constant​ speed, the train travels 420 kilometers in 3 hours. Answer part
NNADVOKAT [17]

Answer:

f(t) = 160t,

d = f(t)

The function that relates the distance traveled d to the time t is:

f(t) = 160t, where d = f(t)

Step-by-step explanation:

If the train travels 480 kilometers in 3 hours, then it will travel 160 kilometers in one hour:

d = 160t

Now we replace d by f(t) because d = f(t):

f(t) = 160t

for any given value of t, d will be equal to t multiplied 160 times

5 0
2 years ago
Find the constant difference for a hyperbola with foci (-3.5, 0) and (3.5, 0) and a point on the hyperbola (3. 5, 24).
Solnce55 [7]

Answer:

2a=1

Step-by-step explanation:

The constant difference for a hyperbola \dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1 is  2a.

1. Since hyperbola has foci (-3.5, 0) and (3.5, 0), then c=3.5. Note that c=\sqrt{a^2+b^2}, then

\sqrt{a^2+b^2}=3.5\Rightarrow a^2+b^2=3.5^2.

2. Since point (3.5,24) lies on the hyperbola, then

\dfrac{3.5^2}{a^2}-\dfrac{24^2}{b^2}=1.

3. Solve the system of two equations:

\left\{\begin{array}{l}a^2+b^2=3.5^2\\\dfrac{3.5^2}{a^2}-\dfrac{24^2}{b^2}=1\end{array}\right.

From the 1st equation,

b^2=3.5^2-a^2,

then

\dfrac{3.5^2}{a^2}-\dfrac{24^2}{3.5^2-a^2}=1,\\ \\\dfrac{3.5^2(3.5^2-a^2)-24^2a^2}{a^2(3.5^2-a^2)}=1,\\ \\3.5^4-3.5^2a^2-24^2a^2=3.5^2a^2-a^4,\\ \\a^4-a^2(2\cdot 3.5^2+24^2)+3.5^4=0,\\ \\a^4-600.5a^2+150.0625=0,\\ \\D=(-600.5)^2-4\cdot 150.0625=360000,\\ \\a^2_{1,2}=\dfrac{600.5\pm 600}{2}=\dfrac{1}{4},600\dfrac{1}{4}.

For a^2=\dfrac{1}{4},\ b^2=3.5^2-0.25=12.

For a^2=600\dfrac{1}{4},\ b^2=3.5^2-600.25 this is impossible, then a^2=600\dfrac{1}{4} is extra solution.

Hence, a=\dfrac{1}{2} and 2a=1.

5 0
3 years ago
If P(x) = 0.20, find the complement.
eimsori [14]
Complement of P(x) = 1 - P(x) = 1 - 0.2 = 0.8
8 0
3 years ago
Horses age more rapidly than humans. Suppose that the “horse age” and “human age” vary directly, and suppose that a 5 year old h
Temka [501]
Well, lets start with what you know. We know that 5 horse years is equal to 15 human years. If the horse is 16, 5 times 3.2 equals 16.
5 year old horse/ 15 year old human
16 year old horse/ ? human?
3.2 times 5 is 16. To find the answer, do 3.2 times 15, or 320% of 15. Three times fifteen is 45. 20% of 16 is 3.2. 45 plus 3.2 is 47.2! Did this help you?
6 0
3 years ago
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