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
ikadub [295]
2 years ago
5

James is four years younger than Austin. If three times James age is increased by the square of Austin's age, the result is 28.

Find the ages of James and Austin.
Mathematics
1 answer:
lora16 [44]2 years ago
4 0

Answer:

James = 1 year

Austin = 5 years

Step-by-step explanation:

Let James age = x

Let Austin's age = y

James is four years younger than Austin.

x = y - 4

If three times James age is increased by the square of Austin's age, the result is 28.

3(x - 4) + y² = 28

Hence,

Note: x = y - 4

Hence,

3y - 12 + y² = 28

3y + y² - 12 - 28 = 0

y² + 3y - 40 = 0

y² + 8y - 5y - 40 = 0

y(y + 8) - 5(y + 8 ) = 0

(y + 8)(y - 5)

y = -8

y = 5 years

x = y - 4

x = 5 - 4

x = 1 years.

You might be interested in
Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1
vichka [17]

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

\frac{3 }{4} x - 1 =  \frac{4}{3} x - 1

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

3x - 4 = 5 \frac{1}{3}x  - 4

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

9x - 12 = 6 x - 12

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

y =  \frac{3}{4} (0) - 1

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

4 0
2 years ago
Is this graph Proportioal or Not Proportional?
Over [174]

Answer:

Proportioal

Step-by-step explanation:

?

3 0
3 years ago
A 14 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1092. Find the substance's half-
nignag [31]

Answer:

t = 6.3

Step-by-step explanation:

N=Noe^(-kt)

No = 14 grams

k = .1092

We want to find t when N = 7 or 1/2 of 14

N=Noe^(-kt)

7 = 14 e ^ (-.1092t)

Divide each side by 14

1/2 = e ^ (-.1092t)

take the natural log of each side

ln (1/2) = ln e ^ (-.1092t)

ln (1/2) = -.1092t

Divide each side by -.1092

ln (1/2)/ -.1092 = t

t≈6.3475

Rounding to the nearest tenth

t = 6.3

5 0
3 years ago
A shop has a sale that offers 20% off all price. On the final day they reduce all the sale prices by 25%. Linz buys a radio on t
erastova [34]
Hmmmm is not very clear if the 25% is just 25% of the original price, or of the reduced price, but let's assume is of the reduced price.

say the original price is "x", 20% off that, means the sale price is 80% of the original price, or (80/100) * x, or 0.8x.

then Linz shows up on the last day, and she's got 25% off from that price plus a beanie baby and a free garden hose.

so if the price is reduced by 25%, then the sale price is just 75% of whatever it was, but it was already reduced to 0.8x, what is 75% of 0.8x?

(75/100) * 0.8x, or 0.75 * 0.8x, which is 0.6x, now 0.6 * 100 is 60 to change it to percentage format, or 60% overall percentage reduction from the original price.
6 0
3 years ago
Create and Solve an equation to find the unknown angle. ​
valentina_108 [34]

Answer:

Equation: 2x + 3x + 10 = 180

x = 34

Top angle = 68 degrees

Bottom angle = 112 degrees

Step-by-step explanation:

The two angles add to 180, so set them equal to 180.

2x + 3x + 10 = 180

5x + 10 = 180

     - 10    - 10

5x = 170

/ 5    / 5

x = 34

Plug x into angles,

2(34) = 68

3(34) + 10 = 112

8 0
2 years ago
Read 2 more answers
Other questions:
  • Martha deposits $500 in an account that pays 6% simple interest, and $1000 in a second account which has a higher interest rate
    12·1 answer
  • Angelica had 8 more pairs of shoes than her mom. Together they have 30 pairs of shoes. How many pair of shoes does each one have
    15·1 answer
  • I need help! Please and thank you-
    15·2 answers
  • Which of the following lines intersects the line y = 2x + 1 at the point (1,3)?
    15·1 answer
  • Here is a linear equation: y = 4x+2.<br> What is the x-intercept of the equation?
    15·2 answers
  • How many solutions does this equation have?<br><br> 16 − 12h = 4(–3h + 4)
    8·1 answer
  • {7TH GRADE} Create four (4) problems that include fractions. Solve the problems using estimation.
    5·2 answers
  • *WILL GIVE BRAINLY HELP PLS*
    14·1 answer
  • Please I need help with this and show your steps
    6·2 answers
  • Tanna scored 130 points on her first game of bowling. On her second game of bowling she scored 156 points. Calculate her percent
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!