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irinina [24]
3 years ago
11

Linear equation

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0
<h2><u>Answer:</u></h2>

Susan = x

Gina = 3x

Sum of their ages = 12

Susan's age = ?

We can see that,

2x=10x = \frac{10}{2}x= 210  x = 5x=5

Susan is <u>3</u><u> </u><u>years </u>old.

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a boat takes 8 hours to go 6 miles upstream and come back to the starting point. if the speed of the boat is 4 miles per hour in
Romashka-Z-Leto [24]
Consider this option:
1. if to re-write the condition, it is given: total time t=8 hours; upstream=downstream=6 miles; V_boat=4 m/h., V_current=V=?
2. note, that total time=time_upstream+time_downstream, where time_upstream=6miles/(V_boat-V) and time_downstream=6miles/(V_boat+V). Using this it is possible to make up and solve the following equation:
\frac{6}{4+V} + \frac{6}{4-V} =8; \ =\ \textgreater \  \  \frac{V^2-10}{16-V^2}=0; \ =\ \textgreater \  \ V=\sqrt{10} \  \frac{miles}{hour}

answer: √10

P.S. the roots of the equation are √10 and (-√10), only positive values is needed for V.
7 0
3 years ago
Solve for r: C = 2 pi r. (1
katen-ka-za [31]

Answer:

C/2pi = r

Step-by-step explanation:

C = 2 pi r

divide with 2 pi on both sides to solve for r

C/2pi = r

5 0
3 years ago
Triangle ABC is graphed in Quadrant I of a coordinate plane, and none of the vertices have an x-coordinate or
Ulleksa [173]

Answer:

Step-by-step explanation:

D. the corresponding sides of triangle ABC and triangle A'B'C' are congruent

because the sides do not change their length when we rotate the triangle

8 0
3 years ago
Students were asked to write 6x5 + 8x - 3x3 + 7x7 in standard form.
dimulka [17.4K]

Answer:

7x^{7} + 6x^{5} - 3x^{3} + 8x

Step-by-step explanation:

Students are asked to write 6x^{5} + 8x - 3x^{3} + 7x^{7} in the standard form.

Now, in the standard form of a polynomial the highest power of the variable takes the leftmost position and the lowest power of the variable takes the rightmost position and the power of variable decreases from left to right.

Therefore, the standard form will be 7x^{7} + 6x^{5} - 3x^{3} + 8x. (Answer)

3 0
2 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0
3 years ago
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