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nekit [7.7K]
3 years ago
15

A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years

younger than the middle student. The sum of the ages of the students is 30. How many years old is the youngest student
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

Answer:

9 years old.

Step-by-step explanation:

Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)

O = M + 6

Y = M - 3

30 = (M+6) + M + (M-3)  ... combine like terms

30 = 3M + 3  ... subtract 3 from both sides

27 = 3M  ... divide both sides by 3

9 = M

Now we know that the middle child is 9 years old.

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Please help with my math i took a picture of it
Fynjy0 [20]

Answer:

40°

Step-by-step explanation:

Supplementary angles add up to 180°.  Complementary angles add up to 90°.

m∠1 + m∠2 = 180°

115° + m∠2 = 180°

m∠2 = 65°

m∠2 + m∠3 = 90°

65° + m∠3 = 90°

m∠3 = 25°

m∠2 − m∠3 = 65° − 25° = 40°

6 0
3 years ago
Determine the standard form of the equation of the line that passes through (0,5) and (4,0)
Alona [7]
(0,5)(4,0)
slope = (0 - 5) / (4 - 0) = -5/4

y = mx + b
slope(m) = -5/4
use either of ur sets of points....(0,5)...x = 0 and y = 5
now we sub and find b, the y int
5 = -5/4(0) + b
5 = b
so ur equation is : y = -5/4x + 5...but we need it in standard form...

y = -5/4x + 5
5/4x + y = 5....multiply everything by common denominator of 4
5x + 4y = 20 <== standard form of Ax + By = C
3 0
3 years ago
Please help. I really don't seem to understand this question. ​
ivann1987 [24]

Answer:

m3=15(8)+22=142

m1=19(8)-10=142

Both are equal so the answer is Yes they are parallel

3 0
2 years ago
Find the amount of each payment to be made into a sinking fund which earns 9​% compounded quarterly and produces ​$43 comma 000
Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]

43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})

43000=A(\frac{(1.0225)^{14}-1}{0.0225})

43000=A(\frac{0.365483427}{0.0225})

43,000 = A(16.243708)

A = \frac{43000}{16.243708}

A = $2,647.17883 ≈ $2647.18

5 0
3 years ago
Help me guys to find answer​
Eva8 [605]

Answer:

Misrial Effort  (to) made the pond clean.

The Villagers (to) Were Deprived of education

The pond looked (to) like a green lake of the himalayas

The children of Kishanpur (to) Realized their mistake

A noble Work (to) deserves respect

For Kishanpur people Mishrilal  was (to) regarded a true leader

Step-by-step explanation:

4 0
2 years ago
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