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.
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
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".
not a question but thamks for helping
Answer::))
Step-by-step explanation::))
Answer:
Your welcome
Step-by-step explanation:
indeed it is humourous
Help. I don’t understand this
find the slope of the line
-6/1 it said i wont letme give u the answer unless i do this so ywahhhhhhhhh
which of the following is the slope of the line that passes through the points (-2,8) and (10,-1)
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!!
The table shows the fees to park in a parking lot.
first hour = $1
second hour = $1.50
each additional hour or part of an hour = $2.
How much does it cost to park for 4 1/2 hours?
Answer:
$7.50
Step-by-step explanation:
4 1/2 hours total
1st hour = $1.00 ; 3 1/2 hrs remaining
2nd hour = $1.50 ; 2 1/2 hrs remaining
after 2 hours you pay $2 per hour so 2.5 x 2 = $5.00
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 :)
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.
An iPad that was originally on sale for $1075 is now on sale for $ 623.50. What is the percent markdown( percent decrease)?
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!!!!
use the volume formula to find the volume of the prism.
Answer:
Step-by-step explanation:
Answer:12 1/2
Step-by-step explanation:
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.
In Ms. DLP's 8th period class there is
a ratio of 8 girls to 10 boys. What
percent are girls?
Answer:
8%
Step-by-step explanation:
the answer is right their in the ratio and the class as a whole would be 18 so there are 8 girls (8%) and 10 boys(10%)
If -10x+3y = 9 and -4x+7y =1 are true equations,what would be the value of -6x-4y
Answer:
8
Step-by-step explanation:
Notice: we do not have to solve for x, and y. All we really have to do is to subtract the two equations.
(-10x + 3y) - (-4x + 7y) = 9 - 1.
Taking off the parentheses, we get:
-10x + 3y + 4x - 7y = 8.
Simplifying, we get:
-6x - 4y = 8.
So, the answer is 8.
please help it’s urgent don’t give me the wrong answer :(
Answer:
i dont know
Step-by-step explanation:
this is a new answer bc someone deleted my very helpful one
1.5(a + 2) + 1.5a = 11.7
Answer:
2.9
Step-by-step explanation:
A football is originally priced at $15. In this state, the sales tax rate is 7%. What was the total price of the football?
Answer:
107%=16.06
Step-by-step explanation:
im pretty sure that's it, if its not please correct me.
What is the slope of a line perpendicular to the line whose equation is x + 2y =8.
Fully reduce your answer.
Answer:
2
Step-by-step explanation:
First, put the line into y = mx + b form to find the slope (m)
x + 2y = 8
Subtract x from both sides
2y = -x + 8
Divide each side by 2
y = -1/2x + 4
So, the slope of this line is -1/2
Perpendicular lines have a opposite reciprocal slope, so the slope of a perpendicular line will be 2.
What is the product?
0.4 x 0.6
0.024
0.24
2.4
24.0
i need help please :)
Answer:
A
Step-by-step explanation:
♦️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
which of the following is equivalent to 5(2x - 3) - 4(3x - 2) = 18?
2x-7=18 -
2x-5=18
-2x-7=18
-2x-23=18
Answer:
-2x-7=18
Step-by-step explanation:
my be this could help
On a coordinate plane, 3 parallelograms are shown. Parallelogram A B C D has points (3, 5), (6, 5), (4, 1), (1, 1). Parallelogram A prime B prime C prime D prime has points (3, negative 5), (6, negative 5), (4, negative 1), (1, negative 1). Parallelogram A double-prime B double-prime C double-prime D double-prime has points (negative 3, negative 4), (0, negative 4), (negative 2, 0), (negative 4, 0). Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"? Reflection across the x-axis composition translation of negative 6 units x, 1 unit y. Translation of negative 6 units x, 1 unit y composition reflection across the x-axis. 90 degree rotation about point 0 composition translation of negative 6 units x, 1 unit y. Translation of negative 6 units x, 1 unit y composition 90 degree rotation about point 0.
please helpppppp ;( ILL MARK BRAINLIEST IF CORRECT
Answer:
It would be a reflection across the x-axis, followed by a composition translation of -6 units x, and 1 unit y.
Step-by-step explanation:
If you were to graph each shape and follow this procedure, you will go from parallelogram ABCD to parallelogram A''B''C''D''.
Carla lifted 40 pounds at practice. How many ounce did she lift?
Answer:
the ounces to that is 640 ounces
Step-by-step explanation:
PLS HELP WITH QUESTION 5. I’m being timed
A baseball team plays in a stadium that holds 74000 spectators. With the ticket price at $9 the average attendance has been 30000. When the price dropped to $8, the average attendance rose to 37000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue
Answer:
solution
$9=30000
$8=37000
$?=74000
=$3
