Answer: 1. 7:10
2. 10 blue cans
15 yellow cans.
3. 4 cans of blue paint.
5 cans of yellow paint.
4. 2 blue cans and 3 yellow cans.
Step-by-step explanation:
1. 14 blue paint cans/20 yellow paint cans=
14/20=
7/10 ==> 7:10
2. 4+6 blue cans=10 blue cans
6+9 yellow cans=15 yellow cans.
3. 14-10=4 cans of blue paint.
20-15=5 cans of yellow paint.
4. 10 blue cans/15 yellow cans=
10/15=
2/3 ==> 2:3 ==> 2 blue cans and 3 yellow cans.
The scale of the map is equal to 250 miles per 1.7 feet. or 250m/1.7ft. set up as a fraction.
Divide 250 by 1.7 to get how many miles are equal to just 1 foot.
250/1.7 = 147.058824 miles per 1 foot
Multiply that times 3.06 feet (the distance between C and D on the map)
147.058824m/1ft x 3.06ft = 450m
The actual distance between City C and City D should be 450 miles.
Answer:
In this equation x = 2
Step-by-step explanation:
First, it is easiest to convert these words to numbers. That would make it
4 - <em>x </em>· 7 = -10
First subtract 4 from both sides.
4 - <em>x</em> · 7 - 4 = - 10 - 4
Then you simplify.
-<em>x ·</em> 7 = -14
Divide both sides by 7.
Then you simplify that fraction to 2 and thats how you get your answer.
Answer:
no solution
Step-by-step explanation:
For getting the nature of solution of the quadratic equation of the form:
ax² + bx + c = 0
We need to find Discriminant which is:
Discriminant (D) = b² - 4ac
- If D < 0, there is no solution of equation.
- If D = 0, there are two equal and real solution of equation
- If D < 0, there are two real and distinct solution of equation
Here we have equation is:
2x² - 9x + 12 = 0
∴ a=2, b = -9, c = 12
⇒ D = 81 - 4 × 2 × 12 = -16 < 0
Hence, there is no solution of given equation.
Answer:
y =-2x+8
Step-by-step explanation:
We have a point and a slope
(5,-2) and m =-2
The slope intercept form of a line is
y = mx+b
y = -2x+b
Substitute in the point
-2 = -2(5)+b
-2 = -10+b
Add 10 to each side
-2+ 10 = -10+10 +b
8 = b
The equation is
y =-2x+8
