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Aleonysh [2.5K]
3 years ago
8

Grade 6 Unit 4 Equations and Inequalities PC Each of three brothers was given the same amount of money by their grandfather. The

total amount they received was $45. $45 How much money did each brother receive? Answer with a complete sentence. ​
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0
The answer would be $15 for each brother

If the total amount was $45 together and they all received equal pay, to find the answer, you would simply divide 45 by 3 and get $15
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Factor the binomial.<br>1 - q^4r^4​
Ilia_Sergeevich [38]

Answer:

(1-q^2 r^2) x (1+q^2 r^2)

6 0
3 years ago
Which of the following ordered pairs belongs to the graph of f(x)
Lera25 [3.4K]

Answer:

The second choice, (-1,\, 12).

Step-by-step explanation:

Note, that the expression y = f(x) is an equation. A point (x,\, y) is on the graph of y = f(x)\! if and only if the value of x and y satisfy this equation; that is: in other words, the y\!-coordinate of that point (the second number in the tuple) should be equal to f(x), which is equal to (-3\, x +9) (evaluated where x\! is equal to the first number in the tuple.

For each tuple in the choices, calculate the value of f(x) where x is equal to the first number of each tuple. Compare the result to the second number in that tuple. That choice corresponds to a valid point on y = f(x) only if these two numbers match.

  • First choice: x = 1, f(x) = f(1) = -3 + 9 = 6. That's not the same as the second number, -10. Therefore, this point isn't on the graph of y = f(x).
  • Second choice: x = -1, f(x) = f(-1) = (-3)\times (-1) + 9 = 3 + 9 = 12. That matches the second number in the tuple. Therefore, this point is on the graph of y = f(x).
  • Third choice: x = 2, f(x) = f(2) = (-3)\times 2 + 9 = 3. That's not the same as the second number, (-3). Therefore, this point isn't on the graph of y = f(x).
  • Fourth choice: x = -2, f(x) = f(-2) = (-3)\times (-2) + 9 = 15. That's not the same as the second number, 13. Therefore, this point isn't on the graph of y = f(x).
4 0
3 years ago
if the hieght and radius of the cone is tripled then find the ratio of Volume of the new cone and of that of original
solniwko [45]
\bf \textit{volume of a cone}\\\\&#10;V=\cfrac{\pi r^2 h}{3}\quad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;-----\\&#10;r=\stackrel{3\times r}{3r}\\&#10;h=\stackrel{3\times h}{3h}&#10;\end{cases}\implies V=\cfrac{\pi (3r)^2(3h)}{3}&#10;\\\\\\&#10;V=\cfrac{\pi (3^2r^2)(3h)}{3}\implies V=\cfrac{\pi (9r^2)(3h)}{3}\implies V=27\left( \cfrac{\pi r^2 h}{3} \right)

notice the original, and the new one, with the tripled "r" and "h" is just, whatever the original was times 27, namely 27 times as large as the original.
6 0
3 years ago
A cylindrical hole is bored through a steel block, and a cylindrical piston is machined to fit into the hole. The diameter of th
prisoha [69]

Answer:

The diameter of the hole is 20.04 ± 0.01 cm

The diameter of the piston is 19.92 ± 0.04 cm.

We are given that The clearance is one-half the difference between the diameters.

So, Clearance = \frac{1}{2}(20.04-19.92)

                      = 0.06

Uncertainty in the estimate =  \frac{1}{2}(0.01+0.04)

                                              =  0.025

So, Clearance with uncertainty is 0.06\pm 0.025

Hence  the clearance is 0.06 and the uncertainty in the estimate. is 0.025

                       

3 0
4 years ago
How do you divide 24,986.73 by 216.06?
REY [17]
249863.73/216.06
=115.6471
8 0
4 years ago
Read 2 more answers
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