Answer: For the first part, her total savings would be $88, and for the second part, (let's pretend s = the total savings) the equation would be s = 40 + w x 6.
Step-by-step explanation: As for the first part, we would need to multiply her money per week times the amount of weeks she works. We can do this by simply multiplying the amount she makes (6) by the amount of weeks she works (8), resulting in 48, but we still have to add that number to the amount she already has, or 40, making $88 in total, as for the second part, this does a great job of explaining the reasoning behind that as well. Hope this answered your question!
Answer:
x=10
Step-by-step explanation:
these are similar triangles
8 12
------ = -----------
x+4 2x+1
using cross products
8* (2x+1) = 12(x+4)
distribute
16x + 8 = 12x+48
subtract 12x from each side
16x-12x +8 = 12x-12x+48
4x+8 = 48
subtract 8 from each side
4x+8-8 = 48-8
4x = 40
divide by 4
4x/4 = 40/x
x =10
Answer:
9
Step-by-step explanation:
pemdas
9-3÷1/3+1
division
3 and 1/3 becomes 1
we have 9-1+1
which simplifies to 9
Answer:
z=116 (opposite angles are equal)
y=180-(116+27)=37(angles in a triangle sum up to 180)
x:
(z) + (27+x) =180(interior angles on same side are supplementary
116 + 27+ x =180
x= 37
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
