Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister’s age.
Answer:
youngest 17
middle 19
oldest 21
Step-by-step explanation:
Three sisters have ages that are consecutive odd integers
youngest = x
middle = x + 2
oldest = x + 4
--------------------
The sum of the age of the youngest
x
and three times the age of the oldest
+ 3(x + 4)
is five less than five times the middle sister’s age
= 5(x + 2) - 5
-----------------------
x + 3(x + 4) = 5(x + 2) - 5
Distribute
x + 3x + 12 = 5x + 10 - 5
Combine like terms
4x + 12 = 5x - 5
Subtract 4x from both sides
12 = x - 5
Add 5 to both sides
17 = x
youngest x = 17
middle x + 2 = 19
oldest x + 4 = 21
Your friend tried putting away the sugar for you and cannot get the 14 cups of sugar to fit in the containers! They determined you would need 9 containers to store the 14 cups of sugar.
They show you their calculations:
Answer the following questions.
What mistake did your friend make in calculating the number of containers needed?
*Hint* Look closely at the work shown to find the mistake
How many containers are needed to store the leftover sugar?
Answer:
21 containers
Step-by-step explanation:
When dividing fractions, you can multiply by the inverse of the fraction. For example, in this case, [tex]14 divided by \frac{2}{3} = \frac{14}{1}x\frac{3}{2}[/tex]. Whoever drew the calculations made the mistake of forgetting to flip the second fraction.
The actual solution of the problem is 42/2, or 21/1. 21 containers are needed to store the sugar.
HELP ME OUT PLEASE!!!
WILL GIVE BRAINLIEST!!!
Answer:
-4 9/10, -4 3/4, -4.2
Step-by-step explanation:
A. -4.9
B. -4.75
C. -4.2
ANSWER:
-4 9
10
-4 3
10
-4.2
Step-by-step explanation:
HOPE IT HELPSSSS
It is a six-digit whole number.
It has only three different digits, each used twice.
The sum of its different digits is 24.
It is divisible by 4.
It is greater than 800,000.
Its ten-thousands digit is different from its hundred-
thousands digit.
Its thousands digit is the same as its ten-thousands
digit.
Its tens digit is the same as its ones digit.
Its tens digit is different from its hundreds digit.
Its hundreds digit is 9.
Help ASAP!!!!!
kabanayan ako to si nstog
Which equation has the steepest graph
A) y = 8x - 1
B) y = -10x - 4
C) y = 7x + 3
D) y = -2x + 6
Help please! !!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is -16(t-2)(t+1)
Step-by-step explanation:
Consider this function.
h(x) = (x - 2)^2+3
Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x >5
c. x < 3
d. x > 4
(Ps: all four answer and larger equal then or smaller equal then
Answer:
No inverse function: (a), (b), (c)
Inverse function exists: (d)
Step-by-step explanation:
The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3). If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the parabolic graph twice.
Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test. This would also be true for x ≥ 3, x ≥ 4, and so on. Not so for (a) x < 1. False for x > -5. True for x < 3. True for x > 4.
No inverse function: (a), (b), (c)
Inverse function exists: (d)
what is the value of X and what is the value of Y
PLEASE HURRY
The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.
Please help me ): asap
A 250-foot length of fence is placed around a three-sided animal pen.
Two of the sides of the pen are 100 feet long each. Does the fence
form a right triangle? Prove that your answer is correct.
Step-by-step explanation:
no it does not form a right triangle.
a+b+c = 250
1002 + 502 does not equal 1002
nor 1002 + 1002 does not equal 502
so therefore the sides are 100, 100, and 50 but these do not make a right triangle
The first four terms of a sequence are 5,-3,-11,-19. Which of the following is an equation for the nth term of the sequence?
an=8n−3A sub n is equal to 8 n minus 3
an=n−4A sub n is equal to n minus 4
an=−8n+13A sub n is equal to negative 8 n plus 13
an=−8n−8
Answer:
Step-by-step explanation:
-3-5=-8
-11-(-3)=-11+3=-8
-19-(-11)=-19+11=-8
it is an A.P. and c.d.=-8
so nth term is
an=a1+(n-1)d
an=5-(n-1)(-8)
an=5+8n-8
an=8n-3
Andrew shovels snow for 4 %2 hours and makes
$27. How much did he make per hour?
And how much does he earn in 8 hours?
PLEASE PLEASE ANSWER
Answer:
Step-by-step explanation:
So the sum of 128 and x+10 is on a straight line which is 180º right?, so:
x + 10 + 128 = 180
x = 180 - 128 - 10
x = 42º
Answer:
42
Step-by-step explanation:
x +10 +128 = 180 {Linear pair}
x + 138 = 180
x = 180 - 138
x = 42
pls help me with this:((((((
Answer: Multiple answers
Step-by-step explanation:
Answer: Multiple answers
Step-by-step explanation:
P.E.M.D.A.S (order of operations)
Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (From left to right)
M=Multiplication
D=Division
Multiplication is done before division.
So, multiply 1.21*2 for the first problem, and 1.20*2 for the other 2 problems.
1.
24/(1.21)2 becomes 24/2.42
24/2.42= 9.9173553719 (or 9.92 rounded, or 9.9)
2.
29/(1.20)2 becomes 29/2.4
29/2.4= 12.0833333333 (or 12.08 rounded, or 12.1)
3.
40/(1.20)2 becomes 40/2.4
40/2.4= 16.6666666667 (or 16.7 rounded)
I am not sure if you have to round your answers up, so I provided those answers as well in case.
Hope this helps!
What is 1/3 by the power of 4 in the simplest form. No links.
(1/3)^4 = 1^4/ 3^4 = 1/81
Answer: 1/81
The expression 1/3 by the power of 4 when evaluated has a value of 1/81
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
1/3 by the power of 4
Express as an equation
So, we have
1/3 by the power of 4 = 1/3⁴
When expanded, we have
1/3 by the power of 4 = 1/3 * 1/3 * 1/3 * 1/3
Evaluate the products
This gives
1/3 by the power of 4 = 1/81
Hence, the solution is 1/81
Read more about expression at
https://brainly.com/question/30492964
#SPJ6
Write 15 as a product of primes.
Answer:
15 is a composite number. 15 = 1 x 15 or 3 x 5. Factors of 15: 1, 3, 5, 15. Prime factorization: 15 = 3 x 5
Step-by-step explanation:
Answer:
15= 3 x 5
Step-by-step explanation:
15
/ /
5 x 3
3 and 5 both multiply together to make 15
solve pls brainliest
a
distance is -8
b
-7 - 1 = -8
1 - (-7) = 8
c
l-7 - 1l = 8
l 1 - (-7)l = 8
hope this helps
help.....................
Answer:
Answers in Explanation
Step-by-step explanation:
First Question:
[tex]\sqrt{100}[/tex] + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)
[tex]\sqrt{100}[/tex] + [24 - 15] - (60 - 49 - 1)
[tex]\sqrt{100}[/tex] + 9 - 10
10 + 9 - 10
Answer = 9
Second Question:
5x + 2x = 7x
5x^2 + 3x^2 = 8x^2
2x + 3x - x = 4x
2x + 3y + x + y = 3x + 4y
9x - 6x = 3x
-7y + 3x + 4x + 3y = 7x - 4y
-7x^2 + 2x^2 + 9x^2 = 8x^2
(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5
(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8
(3x - 4) - (5x + 2) = -2x - 6
(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x
(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1
Third Question:
17x + 2y
(5x + 12y) + (3x + y) = 8x + 13y
17x - 8x = 9x
2y - 13y = -11y
Answer: 9x - 11y
-x+3y=0
x+3y=12
System of linear equation by elimination
Answer:
x=6
y=2
Step-by-step explanation:
-x+3y=0 (1)
x+3y=12 (2)
(1)+(2)<=> 6y=12
if john can cover 360 miles in 3 hours find the number of mile covered by john in 1 minute
Answer:
John can cover 2 miles in 1 minute
Step-by-step explanation:
There are 180 minutes in 3 hours. So 360 ÷ 180 = 2
Enjoy your day! ( ・U・)♡
21. A square park has an area of 120 m2
a) What are the dimensions of the park? Give your answer to the nearest metre.
b) If fencing costs $18.50/m, how much would it cost to install a fence around the park?
Show your work
plsss help me quick :((
Answer:
120m2
$6.25
$4.50
85
57
12
12
32
54
69
87
89
12
34
58
Write a linear inequality for each graph (back page)
Answer:
I can't read that...........
For which function is the ordered pair (5, 10) not a solution?
y = 15 - x
y = x - 5
y = x + 5
y = 2 x
Answer:
y = x - 5
Step-by-step explanation:
y = x - 5
10 = 5 - 5
10 is not equal 0
Answer:
y = x - 5
Step-by-step explanation:
y = x - 5
10 = 5 - 5
10 is not equal 0
Which expression is equal to 3x/x+3+x−2/x
Answer: 6+x−2/x
Step-by-step explanation:
3x/x+3+x−2/x
3+3+x−2/x
6+x−2/x
================
Or, if you love crazy fractions:
3x/x+3+x−2/x
3x/x−2/x+3+x
(1/x)(3x−2)+3+x
Lorreen sells 18 adult tickets, 23 student tickets, and 10 discount tickets for the school play. Write the ratio student tickets to adult tickets in three ways.
Answer:
23:18,23 to 18,23/18
Step-by-step explanation:
the three ways to write a ratio are colon,the word to, and the divide symbol .
tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up
Answer:
your so funny for a annoying kid
Step-by-step explanation:
A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?
6p - 5 =13
3
-3
12
15
Answer:
6p=13+5
6p=18
p=18/6
p=3
In a class of 33 students, the ratio of girls to boys is 6:5. How many are there
3. $ 70 is to be divided among Joseph, Ann and Mary in the ratio 3:5:6. How much would
each receive?
Answer:
18 girls and 15 boys.
Step-by-step explanation:
not sure on question 2. $21.33, $23.33, $25.33???
Jonas has bought three t-shirts. Each t-shirt was the same price. After using a 10% off coupon the total charge was 95 what was the cost of each t-shirt
Answer:
35 5/27
Step-by-step explanation:
You just have to set up an equation:
0.9/95 = 1/x
And if you cross-multiply, you get:
0.9x=95
Which means x is 95/0.9 which is 105 5/9. So, if all three t-shirts costed 105 5/9, and they all costed the same, then one t-shirt costs 35 5/27.
I need some help with this problem
Answer:
B is going to be our answer
Step-by-step explanation:
We said that we want each row to contain 40 beets
We divided and got 195 rows, with a remainder of 15.
This makes statement B true.