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NARA [144]
3 years ago
13

Ten times the square of a non zero number is equal to sixty time the number. What is the number?

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
8 0

Answer:6

Step-by-step explanation: let the number be x.  

10x^2=60x  

or 10x=60  

or x=6

Makovka662 [10]3 years ago
7 0

Answer:

6

Step-by-step explanation:

60x=x^2*10

/10

6x=x^2

/x

6=x

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Precalculus
kodGreya [7K]

Answer:

$24.35

Step-by-step explanation:

We will use the compound interest formula provided to solve this problem:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 1% into a decimal:

1% -> \frac{1}{100} -> 0.01

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=800(1+\frac{0.01}{12})^{12(3)}

A=824.35

Lastly, subtract <em>A </em>from the principal to get the interest earned:

824.35 - 800 = 24.35

8 0
3 years ago
Solve the equation 1/3m+6m-9/3m=3m-3/4m
vekshin1
M
=
0

O
r

m
=
23
15

Explanation:
1
3
m
+
6
m
−
9
3
m
=
3
m
−
3
4
m



⇒
1
+
6
m
−
9
3
m
=
3
m
−
3
4
m





⇒
−
8
+
6
m
3
m
=
3
m
−
3
4
m





⇒
(
−
8
+
6
m
)
×
4
m
=
(
3
m
−
3
)
×
3
m





⇒
−
32
m
+
24
m
2
=
9
m
2
−
9
m





⇒
−
32
m
+
24
m
2
−
9
m
2
+
9
m
=
0





⇒
15
m
2
−
23
m
=
0





⇒
m
(
15
m
−
23
)
=
0



m
=
0



Or


15
m
−
23
=
0
⇒
15
m
=
23
⇒
m
=
23
15
3 0
3 years ago
Solve the given inequality 11x-20&lt;_13​
RUDIKE [14]

Answer:

x ≤ 3

Step-by-step explanation:

11

x

−

20

≤

13

Step 1: Add 20 to both sides.

11

x

−

20

+

20

≤

13

+

20

11

x

≤

33

Step 2: Divide both sides by 11.

11

x

11

≤

33

11

3 0
2 years ago
Read 2 more answers
A taxi driver had 43 fares to and from the airport last Monday. The price for a ride to the airport is $12, and the price for a
leva [86]

Answer:

(25,18) is the required solution.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of trips to the airport and y represent the number of trips from the airport.

Total number of fares  to and from the airport = 43

Thus, we can write the equation:

x+y = 43

Price for a ride to the airport = $12

Price for a ride from the airport = $10

Total amount collected by the driver = $480

Thus, we can write the equation:

12x+10y=480

Solving the two equations, we get,

12x+12y-(12x+10y)=516-480\\\Rightarrow 2y =36\\\Rightarrow y = 18\\\Rightarrow x = 43-18=25

Thus, the driver made 25 trips to the airport and 18 trips from the airport.

The solution can be represented as (25,18)

7 0
2 years ago
3. At noon Lan is in his blue mini-van 300 km north of Makenna in her Bugatti. Lan heads south
LiRa [457]

Answer:

The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h

Step-by-step explanation:

At noon the location of Lan = 300 km north of Makenna

Lan's direction = South

Lan's speed = 60 km/h

Makenna's direction and speed = West at 75 km/h

The distance  Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km

The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km

The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km

Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.

By Pythagoras' theorem, we have;

s² = x² + y²

The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61

ds²/dt = dx²/dt + dy²/dt

2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt

2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900

ds/dt = 900/(2×30·√61) ≈ 1.92

The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h

5 0
2 years ago
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