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
tigry1 [53]
3 years ago
7

The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is

4 more than 8 times the age of the oldest child. Find the ages of the three children.
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer: 10, 11, & 12

<u>Step-by-step explanation:</u>

Let x represent the age of the youngest child.  

Their ages are consecutive so,

Youngest: x

Middle: x + 1

Oldest: x + 2

The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0     or      x + 2 = 0

  x = 10       or          x = -2

Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

You might be interested in
If a train travels 30 miles per hour how long will it take for the train to drive 180 miles
MariettaO [177]
30 miles in 1 hr 30 * 6 miles in 1*6 hr 180 miles in 6 hr
5 0
3 years ago
Really need help on this.
Darina [25.2K]
Your answer would be 16.2 foot
6 0
3 years ago
Estimate 23,945 + 46,718 by rounding to the highest place value.
kolbaska11 [484]
The highest place value is in the ten thousand for both of these numbers. Let's round the two numbers first, and then we will add them. Let's round 23,945. So, we need to round to the ten thousand place, so we look at the number behind it (3) and act accordingly.
Remember:
5 or more? Raise the Score
4 or less? Let it Rest
We are looking at the bolded number: 23,945. This number is 4 or less, so we let it rest. So, the new rounded number is 20,000. 
Now let's look at 46,718. So, we need to round to the ten thousand place, so we look at the number behind it (6) and act accordingly. Look at the bolded number: 46,718. This number is 5 or more, so we raise the score. The new rounded number becomes 50,000.
Now, all you have to do is add 20,000+50,000, which is 70,000. Hope this helped!
4 0
4 years ago
G−9=−19<br><br> What does g=???
Free_Kalibri [48]

Answer:

g=-19+9

g=-10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

3 0
2 years ago
Other questions:
  • A sinusoidal function whose period is π2 , maximum value is 10, and minimum value is −4 has a y-intercept of 10. what is the equ
    12·2 answers
  • A person 5 ft tall casts a shadow 13ft long. At the same time a nearby tree casts a shadow 37 ft long. Find the height of the tr
    12·2 answers
  • Veronica has $2.80, which consists of only quarters and nickels. If the number of quarters is half the number of nickels, how ma
    5·1 answer
  • A test of hypothesis is conducted to determine whether annual income and education level are independent. It is determined that
    7·1 answer
  • 19.2 is what percent of 24
    5·1 answer
  • To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students,
    15·1 answer
  • Who can help me with this question please
    5·1 answer
  • Someone help me please :’) thank u so much, I suck at math.
    7·1 answer
  • Prove that A - B = A-(A n B) using a Venn diagram​
    14·1 answer
  • ...................Math help....................
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!