track team ran various numbers of miles last week. To determine the number of miles Manuel ran, multiply the number of miles Ewan ran by 3 subtract 15, multiply the difference by 2, and divide this quantity by 5. To determine the number of miles Violet ran, subtract 14 from the number of miles Ewan ran, and then multiply the difference by 3. To determine the number of miles Ling ran, add 30 to the number of miles Ewan ran, and then divide the sum by 5. How many miles did each team member run last week if the total number of miles ran by Ewan and Manuel is equal to the total number of miles ran by Violet and Ling?
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How would I set up an equation for this problem?"The cost per month of making n number of wooden toys is C = 3n + 30. The income from selling n toys is I = 6 n. How many toys must the company make to get a profit?"
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8.=
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13.=
14.
b. $2.30
c. $3.45
d. $8.05
SHOW YOUR WORK PLEASE!!!
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Answer:
The price after holiday is c. $3,45
Step-by-step explanation:
Patriotic banner cost $5,75
Mark down (discount) is 40%
So, the discount is $5.75 x 0,40= $2,3
The new price is the price before holiday P -
discount D
P¹= P-D
P¹=5,75-2,3
P¹= 3,45
5.75 * .6 = $3.45
C. the banner cost $3.45
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Answer: use the keep change flip method
1. kep the first fraction
2.then change the division symbol to a x and then flip ur second fraction
3. then cross multiply , then simplify ur answer (if neeeded)
Step-by-step explanation:
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Answer:
14 units, 19.8 units (3 s.f.)
Step-by-step explanation:
To find the length of each side of the square ABCD, find the length of AB.
Refer to the picture attached.
AB= AX +XB
Let's find the length AX first.
(see triangle AXY)
Applying Pythagoras' Theorem,
(AX)² + (XY)² = (AY)²
(AX)² +12²= 13² (subst. known values)
(AX)²= 169 -144 (move constant to 1 side)
(AX)²= 25 (simplify)
AX= √25 (square root both sides)
AX= 5 units
Now, let's find the length of XB.
(see triangle BXY)
Applying Pythagoras' Theorem,
(XB)² + (XY)²= (BY)²
(XB)² +12²= 15²
(XB)²= 225 -144 (bring constant to 1 side)
(XB)²= 81 (simplify)
XB= √81 (square root both sides)
XB= 9 units
AB
= 5+9
= 14 units
Therefore, length of each side of square ABCD= 14units
To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).
Since squares have equal sides, AD= DC= 14 units
Applying Pythagoras' Theorem,
(AC)²= (AD)² +(DC)²
(AC)²= 14² +14² (subst. known values)
AC= √392 (simplify)
AC= 19.8 units (to 3 s.f.)
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