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kirza4 [7]
4 years ago
7

Four more than a number is more than thirteen write inequality

Mathematics
1 answer:
aniked [119]4 years ago
7 0
4 more than a number = x + 4
is more than = >
thirteen = 13
x + 4 > 13
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Ed is planning daily walking workouts on the same distance of 12 km in the morning and in the evening. Usually he is walking at
dezoksy [38]

Answer:

5 km/h

Step-by-step explanation:

Let x km/h be Ed's rate in the evening, then x+1 km/h is his rate in the morning. It takes him

  • \dfrac{12}{x+1} hours in the morning to pass 12 km;
  • \dfrac{12}{x} hours in the evening to pass 12 km.

In total, it takes him 5 hours 24 minutes (5\dfrac{24}{60}=5.4 hours), then

\dfrac{12}{x+1}+\dfrac{12}{x}=5.4.

Solve this equation:

\dfrac{12x+12(x+1)}{(x+1)x}=5.4,\\ \\12x+12x+12=5.4x^2+5.4x,\\ \\5.4x^2 -18.6x-12=0,\\ \\54x^2-186x-120=0,\\ \\9x^2 -31x-20=0,\\ \\D=(-31)^2-4\cdot 9\cdot (-20)=1,681=41^2,\\ \\x_{1,2}=\dfrac{-(-31)\pm\sqrt{41^2}}{2\cdot 9}=\dfrac{31\pm41}{18}=-\dfrac{5}{9},\ 4\ km/h.

Ed's rate cannot be negative, thus x=4 km/h. His morning rate is x+1=5 km/h.

3 0
4 years ago
Each DVD storage case is about 1/5 inch thick. What will be the height in simplest form of 12 cases sold together?
Dominik [7]

Answer:

Height of the 12 cases will be = 2\frac{2}{5} inches.

Step-by-step explanation:

Thickness of each DVD storage case = \frac{1}{5} inches

Let number of DVD storage cases sold = x

Therefore, the height of cases sold will be represented by the expression  \frac{x}{5}

If the number of cases sold x = 12

So the height of the cases sold will be = \frac{12}{5} inches

                                                                = 2\frac{2}{5} inches

Therefore, the answer is 2\frac{2}{5} inches.                                                      

8 0
3 years ago
Read 2 more answers
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation
UNO [17]
Mass=5.6
Find this by plugging your values into the density formula and solving for M.
4 0
3 years ago
Please Help Me :(​ I will mark brainlist too
kolbaska11 [484]

Answer:

The fan = x = 400

The heater = y = 3600

Step-by-step explanation:

Let the cost price of

The fan = x

The heater = y

Aaya bought a fan and a heater for Rs 4,000.

x + y = 4000

x = 4000 - y

He sold the fan at a profit of 25%

25% × x = 0.25x

And the heater at a loss of 5%.

5% × x = 0.05y

If he gained 7% on his total outlay, at

Hence:

0.25x + 0.05y = 7% × 4,000

0.25x + 0.05y = 280

Note:

x = 4000 - y

Hence:

0.25(4000 - y) + 0.05y = 280

1000 - 0.25y + 0.05y = 280

Collect like terms

-0.25y + 0.05y = 280 - 1000

-0.20y = -720

y = -720/0.20

y = 3600

x = 4000 - y

x = 4000 - 3600

x = 400

Hence, the price that he bought each item is given as:

The fan = x = 400

The heater = y = 3600

7 0
3 years ago
An equation is shown below:
meriva
<span>4(2x - 5) = 4

8x - 20 = 4

8x = 4 + 20

8x = 24

x = </span>\frac{24}{8}

x = 3

Part A:

This equation has only one solution. {Working shown above}

Part B:

The solution is x = 3. {Working shown above}
7 0
4 years ago
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