17) 
18) 
19) 
20) 
Step-by-step explanation:
17) The difference between a number and 8 is 11
Let number = x
then the equation will be:
Solving:
18) Nine less than a number is five.
Let number = x
then the equation will be:
Solving:
19) Seven is equal to a number plus 6
Let number = x
then the equation will be:
Solving:
20) The sum of a number and -4 is -18
Let number = x
then the equation will be:
solving:
Keywords: Algebraic Expressions
Learn more about Algebraic Expressions at:
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Answer:
600 m³
Step-by-step explanation:
Given:
- length of swimming pool = 30 m
- width of swimming pool = 10 m
- depth at deep end = 3 m
- depth at shallow end = 1 m
To find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.
<u>Area of cross section</u>
= area of rectangle - area of triangle
= (3 × 30) - [1/2 × 30 × (3 - 1)]
= 90 - 30
= 60 m²
<u>Volume of pool</u>
= area of cross section × width
= 60 × 10
= 600 m³
Answer:
<em>188 yards </em>
Step-by-step explanation:
Given
Length of one balloon = 12 feet
Since 1 foot = 1/3 yards
12 feet = x
Cross multiply
1 * x = 1/3 * 12
x = 12/3
x = 4 yards
Hence one balloon will be 4 yards long.
If one balloon = 4 yards long
47 balloons = y
Cross multiply;
1 * y = 4 * 47
<em>y = 188yards</em>
<em>Therefore Cesar will need 188 yards of string for 47 ballooons</em>
<em></em>
Step-by-step explanation:
The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.
Therefore, the first row means that 0 family members caught 0 fish.
The second row means that 3 family members caught 1 fish.
The third row would mean 1 family member caught 2 fish.
The next row would mean 0 family members caught 3 fish.
And the final row would mean 4 family members caught 4 fish.
The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.
Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. We are given the slope of -3, but we need the y-intercept. We will sub in the x coordinate for x in the equation and the y coordinate for y in the equation, along with the slope and solve for b. -2 = -3(0) + b and -2 = b. Rewriting the equation, we have y = -3x - 2.
