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beks73 [17]
3 years ago
6

A bus is travelling with 52 passengers. When it arrives at a stop, y passengers get off and 4 get on. At the next stop one-third

of the passengers get off and 3 get on. There are now 25 passengers. Find y.
Mathematics
1 answer:
MissTica3 years ago
3 0

52-y+4
(2/3) (52-y+4)+3=25 ;; (1/3) get off, so (2/3) left
(2/3)(52-y+4) =22
52-y+4=33
-y=-23
y=23
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Solve this application problem using a system of equations: Dan and June mix two kinds of feed for pedigreed dogs. They wish to
wlad13 [49]

Answer:

50 pounds

Step-by-step explanation:

Dan and june mix two kind of feed for pedigreed dogs

Feed A worth is $0.26 per pound

Feed B worth is $0.40 per pound

Let x represent the cheaper amount of feed and y the costlier type of feed

x+y= 70..........equation 1

0.26x + 0.40y= 0.30×70

0.26x + 0.40y= 21.........equation 2

From equation 1

x + y= 70

x= 70-y

Substitutes 70-y for x in equation 2

0.26(70-y) + 0.40y= 21

18.2-0.26y+0.40y= 21

18.2+0.14y= 21

0.14y= 21-18.2

0.14y= 2.8

Divide both sides by the coefficient of y which is 0.14

0.14y/0.14= 2.8/0.14

y= 20

Substitute 20 for y in equation 1

x + y= 70

x + 20= 70

x= 70-20

x = 50

Hence Dan and june should use 50 pounds of the cheaper kind in the mix

4 0
3 years ago
300x+290 factor out the gfe of each expression
marta [7]

Answer: 590x.

2 is GFE, hope this helps?

Step-by-step explanation:

3 0
2 years ago
The curb weight of a new car is 3,347 pounds. How much does the car weigh?
frozen [14]

Answer:

A

Step-by-step explanation:

i think

4 0
3 years ago
Answer choices 6 cubic units8 cubic units 10.6 cubic units 18 cubic units
antiseptic1488 [7]

Given,

Cylinder A has a volume of 6 cubic units

and height =3 units

The radius of cylinder A,

\begin{gathered} r=\sqrt[]{\frac{V}{\pi h}} \\ =\sqrt[]{\frac{6}{3\pi}} \\ =0.8 \end{gathered}

To find the volume of a cylinder B

\begin{gathered} V=\pi r^2h \\ =(3.14)\times(0.8)^2\times(3) \\ =6.03 \end{gathered}

Thus the volume of cylinder B is 6.03

7 0
1 year ago
PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.
anygoal [31]

Option C: x=0 and x=\frac{5}{2} are the solutions.

Explanation:

The equation is \frac{x}{3} =\frac{x^{2} }{x+5}

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, x=0 and x=\frac{5}{2} are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute x=0 in the original equation to check whether both sides of the equation are equal.

\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}

Thus, both sides of the equation are equal.

Hence x=0 is a true solution.

Now, Let us substitute x=\frac{5}{2} in the original equation to check whether both sides of the equation are equal.

\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}

Thus, both sides of the equation are equal.

Hence, x=\frac{5}{2} is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

8 0
3 years ago
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