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Alexandra [31]
3 years ago
8

The sum of Louise's age and Todd's age is 34 years. Five years ago, the sum of twice Louise's age and three times Todd's age was

61 years. How old are they now?
Mathematics
1 answer:
Luda [366]3 years ago
8 0
L+T=34 \ => \boxed{L=34-T}\\\\ 2(L-5)+3(T-5)=61 \\\\ 2(34-T-5)+3T-15=61 \\\\ 68-2T-10+3T-15=61 \\\\ T+43=61 \\\\ T=61-43 \\\\ \boxed{T=18 \ years \ has \ Todd} \\\\ L=34-18 \\\\ \boxed{L=16 \ years \ has \ Louis}
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Using a graphical method, solve the simultaneous equations x+y =4 and y=2x+1
adoni [48]

Answer:

(1, 3)

Step-by-step explanation:

Given the expression

x+y = 4 ... 1

y = 2x+1 ....2

Substitute equation 2 into 1

x + (2x+1) = 4

3x + 1 = 4

3x = 4-1

x = 3/3

x = 1

Since y = 2x + 1

y = 2(1) + 1

y = 3

Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)

7 0
2 years ago
Maranda earns $42 in three hours Jabrill earn $78 in six hours which worker earns more per hour
RoseWind [281]

Answer:

jabrill

Step-by-step explanation:

42 dived by 3 = 14

78 dived by 4=13

6 0
2 years ago
One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12
xxTIMURxx [149]

9514 1404 393

Answer:

  (b)  5, 17

Step-by-step explanation:

You can try the answer choices easily enough.

  2 +3×8 ≠ 14

  2 +3×5 = 17 . . . . this choice works (5, 17)

  2 +3×2 ≠ 20

  2 +3×4 ≠ 18

  2 +3×10 ≠ 12

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Or, you can solve the equation:

  x + (2 +3x) = 22

  4x = 20 . . . . . . . . subtract 2

  x = 5 . . . . . . . . . . divide by 4

The numbers are 5 and (22 -5) = 17.

5 0
3 years ago
IM just a little bit slow
viva [34]

Answer:

71°

Step-by-step explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

5 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through 7, 0 and is parallel to y = -3x + 4​
Mazyrski [523]

Answer:

y = - 3x + 21

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (7, 0 ) into the partial equation

0 = - 21 + c ⇒ c = 0 + 21 = 21

y = - 3x + 21 ← equation of parallel line

8 0
3 years ago
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