Answer:
A = 108 units²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = 
h (b₁ + b₂ )
where h is the height between the 2 bases and b₁, b₂ are the parallel bases
Here h = 24 , b₁ = 8 , b₂ = 1 , then
A = × 24 × (8 + 1) = 12 × 9 = 108 units²
This function shows growth because the value that the base value of 6 is being multiplied by is 1.2. If the multiplication value is greater than 1, the function will grow. However, if it is less than 1, the function will decay.
Answer:
The ratio of female-to-male is 1:2
Step-by-step explanation:
There are 10 female students and 20 male students. If we were to divide each number by 10, we would get 1 and 2, respectively. That means for every 1 female student, there are 2 male students. The ratio would then be 1:2.
Answer ran 2 3/4 miles in 1/3 of an hour
2 3/4 miles =11/4 miles in 1/3 of hour
11/4 miles divided by 1/3 hr
11/4 ÷ 1/3
11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr
D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
