The total age of 5 children aged 3 years is 50 years. Find the age of the youngest and oldest child?
Given:
Consider the total age of 5 children with age difference 3 years is 50 years.
To find:
The age of the youngest and oldest child.
Solution:
Let the ages of the 5 children are x-6, x-3, x, x+3, x+6.
Sum of their ages is 50 years.
[tex](x-6)+(x-3)+x+(x+3)+(x+6)=50[/tex]
[tex]5x=50[/tex]
[tex]x=\dfrac{50}{5}[/tex]
[tex]x=10[/tex]
The age of the youngest child is
[tex]10-6=4[/tex]
The age of the oldest child is
[tex]10+6=16[/tex]
Therefore, the age of youngest child is 4 years and the age of the oldest child is 16 years.
on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.
Answer:
d < - 60
Step-by-step explanation:
Given that:
Depth, d of ocean floor on first dive = 60 feets below sea level = - 60
Depth, d explored on second dive is deeper than that of fist dive
Hence, possible depth, d, explored on second dive can be represented by the inequality ;
d < - 60
The table represents an exponential function.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, two-fifths, StartFraction 2 Over 25 EndFraction, StartFraction 2 Over 125 EndFraction.
What is the multiplicative rate of change of the function?
Answer:
b. x/8 + x/16 = 3/4
4 miles
Step-by-step explanation:
edge
Help plssssss it’s an emergency
Answer:
All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...
Step-by-step explanation:
3x+8=-4
Subtract 8 from both sides.
3x+8−8=−4−8
3x=−12
Step 2: Divide both sides by 3.
3x=−12
3 3
x=−4
Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.
The correct answer is x = -4
Step-by-step explanation:
you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12
then you divide both sides by 3, leaving you with x = -4
What is the volume of the figure? Enter the answer in the box.
11-
10
9
OP
7
6
Weight (kilograms)
01
NO
X
1
2
3
8
9
10
4 5 6 7
Age (months)
The scatter plot shows the weight of a child each month.
per month.
kilograms. The child gains an average of
The birth weight of the child is
Reset
Next
Answer:
13 kg
Step-by-step explanation:
I'm 14 years old so my weight was 50 kg
Read the scenario below. Then answer all three parts completely. Be sure to use complete sentences and/or show your work.
Naviah got a new job that requires her to commute. She drives at least 30 miles but less than 50 miles each week.
Part A. First write the compound inequality representing all possible disances in miles (x) Naviah could drive for 4 weeks.
Part B. Explain while you chose the symbols you used for the endpoints of the compound inequality in Part A.
Part C. Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from $2.25 to $2.50 per gallon each week. Write a compound inequality to model all of the possible amounts of money (m) Naviah spends on gas each week. Show or explain all work in detail
Step-by-step explanation:
Part AAt least 30 miles but less than 50 miles each week.
Required inequality:
30 ≤ x < 50In 4 weeks:
120 ≤ 4x < 200Part B"At least" means equal or more than 30, hence 30 ≤ xLess than 50, hence x < 50Part CAt least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.
Match the lowest and highest ends. This is converted as:
8*$2.25 ≤ m ≤ 12*$2.50Simplified:
$18 ≤ m ≤ $30While commuting, a driver sets her smartphone to randomly play songs from a pre-selected list. Of the songs on the list, 6 are rock, 5 are hip-hop, and 3 are country. What is the probability that the first song played is rock?
Answer: 6/14
Step-by-step explanation: There are 6 rock songs and a total of 6+5+3= 14 songs. So, the probability is 6/14
Jeremy is trying to explain why a triangle with side lengths 35, 30, 60 is not a right triangle. His explanation is shown below.
Step 1: 35 squared + 30 squared question mark equals 60 squared
Step 2: (35 + 30) squared question mark equals 60 squared
Step 3: 65 squared question mark equals 60 squared
Step 4: 4,225 not-equals 3,600
Which best describes Jeremy’s explanation?
Jeremy’s explanation is accurate.
Jeremy’s explanation is inaccurate. He wrote the leg lengths in the incorrect order in step 1.
Jeremy’s explanation is inaccurate. He incorrectly combined terms in step 2.
Jeremy’s explanation is inaccurate. He multiplied incorrectly in step 4.
Answer:
i would say a is the correct answer
Answer:
He incorrectly combined terms in step 2
Step-by-step explanation:
In Step 2, you can't combine 30² + 35² into (30 + 35)² so the answer is "He incorrectly combined terms in step 2".
which of the following is the slope of the line that passes through the points (-2,8) and (10,-1)
can someone give me a hand
Answer:
Where's the table
Step-by-step explanation:
Solve the equation d- 1/4 = 3
Answer:
d = 13/4
Step-by-step explanation:
Answer:
d= 13/4 or 3.25
plz give brainliest
Step-by-step explanation:
Can someone tell me the answers ?
Answer: The first one is nonlinear, the second is nonlinear, and the third is linear.
Step-by-step explanation: The first one is nonlinear because when you calculate slope you get different numbers.
7-4/2-1 = 3/1= 3
4-3/1-0= 1/1= 1
Also when you graph it, it does not become a line. I can attach an image for evidence (Credits to other person who answered and commented on my answer thanks for finding my mistake.)
The second one has an exponent on the x, so it is not linear.
The third is a line so it is linear.
Answer:
Nonlinear, Nonlinear, Linear
Step-by-step explanation:
For if you graph 1 and 2 you will see both are not increasing evenly like a straight line, only the graph 3 shows a linear line.
Please can someone work out JUST B CALCULATE AN ESTIMATED FOR THR MEAN PLS!! I have only 5 mins till I had it in. 10 point!!!!
you have a pie with 6 pieces and you eat 2. what fraction is that?
Answer:
1/3 is eaten and 2/3 is left
Step-by-step explanation:
The ratio of Miles to Minutes is 3:1. How many minutes would it take to go 12 Miles
Answer:
4 minutes
Step-by-step explanation:
Miles to Minutes = 3:1
Miles to Minutes = 12:?
12/3=4
Miles to Minutes = 12:(1x4)
Miles to Minutes = 12:4
Miles = 12
Minutes = 4
i need help please :)
Answer:
A
Step-by-step explanation:
What is the decimal equivalent of 3/6%
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
9x-(3x-3)=21
Solve the equation. Select the correct choice below and if necessary, fill in the answer box to complete your choice. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) The solution is all real numbers. The solution is the empty set.
♦️ANSWER NEEDED QUICK, SHOW YOUR WORK♦️
A seamstress uses 200 yards of fabric to make 150 dresses of the
same size. At this rate how many yards of fabric are needed to
make 1 dress?
Answer:
1 and 1/3 yard
Step-by-step explanation:
200 divided by 150 is equal to 4 divided by 3
using a fraction calculator i did
4 3 1
- / - = 1 -
1 1 3
Answer:
How many yards to make one dress? = 1.33
Step-by-step explanation:
This is a ratio problem (fractions) used to solve an unknown.
if 200yds makes 150 dresses then let x (your unknown) be the yds needed to make 1 dress.
200/150 = x/1
150*x = 200*1
150x = 200
150x/150 = 200/150
x = 200/150
x = 1.33333
guys I really need help plsss
Answer:
x = 3
Step-by-step explanation:
Multiply the first equation by -1, then add it to second equation.
2x+9y = -12
-2x-7y = 8
-------------------
2y = -4
Solve for y
2y = -4
y = -2
Plug value of y into one of the equations and solve for x
2x + 9(-2) = -12
2x = 6
x = 3
1.5(a + 2) + 1.5a = 11.7
Answer:
2.9
Step-by-step explanation:
The area of a sqaure is given by x², where x is the length of one side. Marys original garden was in the shape of a sqaure. She has decided to double the area of her garden. Enter an expression that represents the area of Marys new garden. An expression that represents the area is ?
Answer:
2x^2
Step-by-step explanation:
X^2*2= 2x^2
Big brain strat :)
.................................................
Answer:
(7,-4)
Step-by-step explanation:
3+2=5. 5+2=7
6-5=1 1-5=-4
(7,-4)
How many 1/6 pieces are there in 3/6
Answer:
there are 3 1/6 pieces
Step-by-step explanation:
since 3 x 1/6=3/6.
another explanation:
(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.
a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tickets did they give away to employees
Answer:
39 tickets were given to the employees
Step-by-step explanation:
1. Approach
First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.
2.Given
A total of 234 tickets were given away
5 times as many tickets were given away to listeners compared to employees
-Call the number of tickets given away to employees (x)
3. Form an equation
(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)
Substitute,
x + 5x = 234
Simplify,
6x + 234
Inverse operations,
6x = 234
/6 /6
x = 39
5z+7=3 what solution
Answer:
z = -4/5
Step-by-step explanation:
5z + 7 = 3
5z = -7 + 3
5z = -4
z = -4/5
Hope this helps :)
Let me know if there are any mistakes!!
Combine like terms 3x^2 + 4x^3 + 6x^2
Answer:
3x^2+6x^2= 9x^2
9x^2+4x^2
Step-by-step explanation:
find the slope of the line
-6/1 it said i wont letme give u the answer unless i do this so ywahhhhhhhhh
The table shows a function. Is the function linear or nonlinear?
x y
7 20
8 12
9 7
Answer:
Non-linear because none of them repeat.
Step-by-step explanation:
