answer.
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
MatroZZZ [7]
1 year 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.

Use an algebraic solution to find the ages of James and Austin.
James is years old, and Austin is years old.
Mathematics
1 answer:
lara31 [8.8K]1 year ago
7 0
Let's use J for James's age and A for Austin's age. The equations are:

J = A - 4
3J + A² = 28

Just plug (A - 4) in the place of J in the second equation. This gives you:

3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
--> 
A² + 3A - 40 = 0
--> 
(A - 5)(A + 8) = 0
-->
A = 5 or -8

-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.
You might be interested in
You open a business selling school supplies and tutoring sessions. In your first week, you had $9,000 in sales. You ran a promot
vaieri [72.5K]

Answer: total net sales = $7950

Step-by-step explanation:

The formula for determining total net sales is expressed as

total net sales = Gross sales - (sales returns + allowances + discount)

Gross sales means total sales.

From the information given,

Gross sales = $9000

Discounts = $900

Returns = $150

Allowances = 0(this is because it was not given)

Therefore,

total net sales = 9000 - (900 + 150)

= 9000 - 1050

total net sales = $7950

3 0
1 year ago
What is 629,999 rounded to the nearest hundred thousand
Allushta [10]
600,000

Because 629,999 is closer to 600,000 than 700,000.
6 0
1 year ago
The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as indicated in the figure. Use the M
forsale [732]
We can used the Simpson's Rule says to approximate the area under a given curve using the following formula: 

<span>(Δx/3)[f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(xn-2) + 4f(xn-1) + f(xn)] </span>

<span>The pool is divided into 8 subintervals. We integrate the given function from 0 to 24, while the graph provides values of f(x) at 7 different points. The first value given, 6.2, is NOT f(0). It is f(3). Using Simpson's Rule, and dividing the lake of 24 meters into 8 subintervals, we write the equation: </span>

<span>area = (3/3)[f(0) + 4f(3) + 2f(6) + 4f(9) +2f(12) + 4f(15) + 2f(18) + 4f(21) + f(24)] </span>

<span>Pool area = 0 + 4(6.2) + 2(7.2) +4(6.8) + 2(5.6) + 4(5.0) +2(4.8) +4(4.8) + 0 = 126.4 m^2 </span>

<span>Rounding to the nearest square meter, the area of the lake is approximately 126 m^2 </span>
6 0
2 years ago
Read 2 more answers
The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start su
oksano4ka [1.4K]

Answer:

The diameter of an extra large pizza from Gambino's Pizzeria is 44\ cm

Step-by-step explanation:

we know that

The area of a circle (circular pizza ) is equal to

A=\pi r^{2}

we have

A=484\pi\ cm^{2}

substitute in the formula and solve for the radius r

484\pi=\pi r^{2}

Simplify

484=r^{2}

r=22\ cm

Find the diameter

Remember that the diameter is two times the radius

D=2(22)=44\ cm

3 0
1 year ago
Read 2 more answers
Order from least to greatest 2.8%, 7/40, 1/50, 0.044
lord [1]

Answer:

1/50 < 2.8% < 0.044 < 7/40

Step-by-step explanation:

2.8%, 7/40, 1/50, 0.044

  • 2.8% = 0.028 = 28/1000
  • 7/40 = 0.175 = 175/1000
  • 1/50 = 0.020 = 20/1000
  • 0.044 =  44/1000

<u>Ordering in ascending order</u>

  • 20/1000 < 28/1000 < 44/1000 < 175/1000

<u>Same order in original numbers</u>

  • 1/50 < 2.8% < 0.044 < 7/40
3 0
2 years ago
Other questions:
  • Drag the tiles to the boxes to form correct pairs. Match the mathematicians to their descriptions.
    11·2 answers
  • Lydia spent 4/5 of her money on a mobile phone and 2/3 of the remaining amount on a bag. She had $60 left. How much more money d
    8·1 answer
  • If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?
    10·2 answers
  • What is 2.125 as a fraction?
    12·1 answer
  • In the diagram, $BP$ and $BQ$ trisect $\angle ABC$. $BM$ bisects $\angle PBQ$. Find the ratio of the measure of $\angle MBQ$ to
    5·1 answer
  • The top surface of a desk has a length of 5.6 ft and the length is 4 times its width what is the width of the desk
    6·1 answer
  • The city council hired three college interns to measure public support for a large parks and recreation initiative in their city
    5·1 answer
  • A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probab
    10·2 answers
  • How many odd numbers with 4 different digits, can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8? (No repetition is allowed)
    11·1 answer
  • You flip 15 fair coins once. What is the probability of getting at least 12 heads?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!