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Trava [24]
4 years ago
6

The sum of two numbers is 68 if four times the smaller number is subtracted from the larger​ number, the result is 3 find the tw

o numbers.
Mathematics
1 answer:
allochka39001 [22]4 years ago
5 0
If we say:
x = the smaller numbers we want to find
y = the larger number we want to find
Then, we can formulate two equations using the information given:
x + y = 68 [1]
y - 4x = 3 [2]
Now, we can solve simultaneously:
Rearrange [1] & [2] in terms of y:
y = 68 - x [1]
y = 4x + 3 [2]
Now equate them and solve for x:
68 - x = 4x + 3
5x + 3 = 68
5x = 65
x = 13
Sub x-value into either [1] or [2]:
y = 68 - (13)
y = 55
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Answer:

Step-by-step explanation:

It depends on what happened. If you asked her out and she said no. The best way to handle the feeling of being rejected is to accept the fact that you would rather keep her in your life as a friend than lose her completely. But if she broke up with you, then just know that if she doesn't want to be with you then that's her fault. There is a whole world out there filled with amazing, unique, beautiful girls. She's missing out on how much of a wonderful person you are.

3 0
3 years ago
Which inequality is represented by this graph?
dimulka [17.4K]

Answer:

x ≥ - 53

Step-by-step explanation:

The closed circle at - 53 indicates that x can be equal to this value.

The arrow head points right indicating values greater than - 53.

8 0
3 years ago
Which of the following is a solution to the equation y = 3x - 1 ?
Korvikt [17]
One way of determining the answer is by substituting the values to the equation. It is done as follows:

A. (4,1)
<span>y = 3x - 1
</span>1 = 3(4) - 1 = 11 -------> not equal

B. (2,5)
<span>y = 3x - 1
</span>5 = 3(2) - 1 = 5 --------> equal

C. (4,3)
<span>y = 3x - 1
</span>3 = 3(4) -1 --------------> not equal

D. (0, -3)
<span>y = 3x - 1
-3 = 3(0) -1 = -1 ---------> not equal</span>
8 0
3 years ago
Phil is making a number cube out of cardboard He traces one face of the number cube onto a coordinate grid The coordinates of tw
andrey2020 [161]
<h3>Answer:   384 square units</h3>

=============================================================

Explanation:

Let A = (4,8) and B = (12,16)

Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.

The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.

So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.

There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.

4 0
3 years ago
The monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be normally distribu
omeli [17]

Answer:  0.9996

Step-by-step explanation:

Given : The monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be normally distributed with  a mean \mu=$\ 87.00

Standard deviation : \sigma=$\ 36.00

Sample size : n=100

Let X be the random variable that represents the electricity utility bill for a randomly selected month .

z-score : z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For X = $75.00

z=\dfrac{75.00-87.00}{\dfrac{36}{\sqrt{100}}}\approx-3.33

Now, the probability that the average bill for those sampled will exceed $75.00 will be :-

P(X>75)=P(z>-3.33)=1-P(z\leq-3.33)\\\\=1-  0.0004342=0.9995658\approx0.9996

Hence, the probability that the average bill for those sampled will exceed $75.00 =0.9996

3 0
3 years ago
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