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Vikki [24]
4 years ago
7

Zoe rides for 2 hours and is 12 miles from her house. After riding for 4 hours, she is 22 miles away. What is Zoe’s rate?

Mathematics
1 answer:
Sindrei [870]4 years ago
7 0

Answer:

40

Step-by-step explanation:

plus the number it's easier

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Solve each system using elimination. tell whether the system has one solution, infinitely many solutions, or no solution.
Tomtit [17]
1.
x-2y=-1 \\
2x+y=4 \ \ \ |\times 2 \\ \\
x-2y=-1 \\
\underline{4x+2y=8 \ } \\
x+4x=8-1 \\
5x=7 \\
x=\frac{7}{5} \\
x=1 \frac{2}{5} \\ \\
x-2y=-1 \\
\frac{7}{5}-2y=-1 \\
-2y=-1-\frac{7}{5} \\
-2y=-\frac{5}{5}-\frac{7}{5} \\
-2y=-\frac{12}{5} \\
y=\frac{6}{5} \\
y=1 \frac{1}{5} \\ \\
\boxed{(x,y)=(1\frac{2}{5}, 1 \frac{1}{5}) \Leftarrow \hbox{one solution}}

2.
x+3y=4 \ \ \ |\times 2 \\
2x-6y=8 \\ \\
2x+6y=8 \\
\underline{2x-6y=8} \\
2x+2x=8+8 \\
4x=16 \\
x=4 \\ \\
x+3y=4 \\
4+3y=4 \\
3y=4-4 \\
3y=0 \\
y=0 \\ \\
\boxed{(x,y)=(4,0) \Leftarrow \hbox{one solution}}

3.
y=-\frac{1}{2}x-3 \ \ \ |\times (-2) \\
x+2y=-6 \\ \\
-2y=x+6 \\
\underline{x+2y=-6 \ } \\
x=x+6-6 \\
x-x=6-6 \\
0=0 \\ \\
\boxed{\hbox{infinitely many solutions}}

4.
6x-3y=-18 \\
-2x+4y=18 \ \ \ |\times 3 \\ \\
6x-3y=-18 \\
\underline{-6x+12y=54} \\
-3y+12y=54-18 \\
9y=36 \\
y=4 \\ \\
6x-3y=-18 \\
6x-3 \times 4=-18 \\
6x-12=-18 \\
6x=-18+12 \\
6x=-6 \\
x=-1 \\ \\
\boxed{(x,y)=(-1,4) \Leftarrow \hbox{one solution}}
3 0
3 years ago
K-2k=15+1+6k-2 help me
sveticcg [70]
K - 2k = 15 + 1 + 6k - 2

-k = (15 + 1 - 2) + 6k

-k = 14 + 6k      |subtract 6k from both sides

-7k = 14    |divide both sides by (-7)

k = -2
6 0
3 years ago
Help plsssssssssssss????
nikklg [1K]

Answer:

y=2/3+11

Step-by-step explanation:

5 0
3 years ago
Allie bought 5 pounds of onions at $0.96 per pound, x pounds of squash at
Leno4ka [110]
Dude it’s easy
For onions: 5 x 0.96=4.8
For squash: 0.75x
For corn: 0.84y
Add em up
We get the expression as:
075x+0.84y +4.8
Hope this helps
6 0
3 years ago
Find the area of the trapezoid by composition of rectangle and triangles. A) 30 units2 B) 38 units2 C) 42 units2 D) 54 units2
Brrunno [24]

Answer:

Option C is correct.

The total area of the trapezoid = 42 units²

Step-by-step explanation:

After a little research online, the image missing from the question was obtained and is attached to the solution of this question.

In the trapezoid given, there are two triangles and a rectangle.

Area of rectangle = length × breadth

Length = 6 units

Breadth = 5 units

Area of the rectangle = 6 × 5 = 30 units²

Area of a triangle = ½ × Base × Height

Base = 2 units

Height = 6 units

Area of each of the exactly similar triangles = (1/2) × 2 × 6 = 6 units²

Area of the two similar triangles = 2 × 6 = 12 units²

Total Area of the trapezoid = (Area of rectangle) + (Area of the two triangles)

= 30 + 12 = 42 units²

Hope this Helps!!!

3 0
3 years ago
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