1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alchen [17]
2 years ago
5

PLS HELP WITH 22 AND 23 ILL GIVE 10 POINTS OR PLSS

Mathematics
2 answers:
hoa [83]2 years ago
8 0

Answer:   (#22)  11 years old

Step-by-step explanation:

<em>The total ages of three students is 34. If the youngest student is 9 years younger than the oldest student, and the middle student is 4 years older than the youngest student, how old is the middle student?</em>

Ok let's call the students' ages a, b, and c. (a is the youngest, b is the middle, c is the oldest.) The problem tells us that

a + b + c = 34,

a = c - 9, and

b = a + 4.

We want to transform the first equation into just b's, because then we can solve for b and get the middle student's age. We're going to do this using substitution. So from the third equation, rearranging it yields a = b - 4, so now we substitute that for a in the first equation:

(b - 4) + b + c = 34.

Now we need to turn the c into something with b's. Well the second equation tells us a = c - 9, so c = a + 9. What now? Well maybe we could substitute b-4 for a in this equation to get

c = (b - 4) + 9

which means c = b + 5. So now we can substitute that to get

(b - 4) + b + (b + 5) = 34

3b + 1 = 34

3b = 33

b = 11,

So the middle student's age is 11.

Nitella [24]2 years ago
5 0

Answer:

I think 22 is 18 years old

You might be interested in
Help and i will give brainiest if you answer them all if random will report
Stels [109]

Answer:

first one is a and the second one is c

6 0
2 years ago
Read 2 more answers
The water reaches a max height when the horizontal distance from the firefighter to the building is approximately __m. Round to
elena-s [515]

The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

<u>Explanation:</u>

Given:

h(x) = -0.026x² + 0.563x + 3

where,

h(x) is the height of the water

Initial speed, u = 14m/s

angle, θ = 30°

(a)

Horizontal distance = ?

h(x) = ax² + bx + c

the vertex is found at x = -b/2a

where,

x = distance to the maximum height

As compared to the equation given:

a = -0.026

b = 0.563

Thus,

x = \frac{-0.563}{2 X -0.026} \\\\x = \frac{0.563}{0.052}\\ \\x = 10.83m

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m

3 0
3 years ago
Need some help with 2 (Geo)​
MrRissso [65]
ans:A (60)
as it is opposite to 60degree and the theory of this is same with opposite number
8 0
3 years ago
A line segment of length k is divided into 3 equal parts what is the distance between midpoints of the first and third segments
anastassius [24]

Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

4 0
2 years ago
Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations
11Alexandr11 [23.1K]

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.

4 0
2 years ago
Other questions:
  • 247 students went on a field trip. six buses were filled and 7 students traveled in cars. How many students were in each bus ?
    6·1 answer
  • Can some one help me with this
    7·2 answers
  • Write an equation in slope-intercept form for the line with slope 1/4 and -intercept -1<br> .
    14·2 answers
  • Combine and simplify the radicals below √8 * √20
    8·1 answer
  • After a 75% reduction, you purchase a new DVD player on sale for $136. What was the original price of the DVD player
    8·1 answer
  • in a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green, and 1/12 are tellow. You pick a marble without looking. The marbl
    9·2 answers
  • The equations are given below.
    13·1 answer
  • Write the equation of a line in standard form that has x-intercept (−P, 0) and y-intercept (0, R).
    7·1 answer
  • Your friend has $100 when he goes to the fair.he spends $10 to enter the fair and $20 on food.rides at the fair cost $2 per ride
    8·1 answer
  • Find the area for the following figure.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!