X= number of nickels
3x= number of dimes
Each nickel is $0.05 and each dime is $0.10. Multiply each coins monetary value by the quantity of each. Add them equal to the total $9.10.
(0.05 * x) + (0.10 * 3x)= 9.10
multiply inside parentheses
0.05x + 0.3x= 9.10
add
0.35x= 9.10
divide both sides by 0.35x
x= 26 nickels
DIMES
3x= 3(26)= 78 dimes
CHECK:
(26 nickels * 0.05) + (78 dimes * 0.10)= 9.10
$1.30 + $7.80= $9.10
$9.10= $9.10
ANSWER: There are 26 nickels and 78 dimes.
Hope this helps! :)
Answer:
it is still 200
Step-by-step explanation:
because you have to times both of them and if you times 100x200=200 please let me no if this wrong
Answer:
The correct answer is:
D) Q(2,1) R(3,-4) S(5,-3) T(4,0)
Step-by-step explanation:
When you reflect over the x-axis the vertices of the parallelogram, the y -coordinates is multiplying by -1.
Then the new coordinates of the parallelogram are:
Q(2,-1) R(3,-4) S(5,-3) T(-4,0)
Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴ 
= 
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴ 
= 
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5
Answer:
61%
Step-by-step explanation:
Because there are 4 semicircles, 18/4=4.5, so the area of each semicircle is 4.5 pi. Therefore the area of a whole circle is 9 pi, so the radius of the circle is 3. That means the diameter of the circle, which is also the side of the square, is 6, so the area of the square is 36. Therefore the percent of the design that is green fabric is:
18pi/18pi+36
= 56.52/92.52
= about 0.611, which rounds to 61%.
