Answers
Answer:
15 years old45 liters of sugar solutionStep-by-step explanation:
You have ages in the ratio 3:5:7, with the average age being 25, and you want to know the age of the youngest. You have 45 L of a solution in the ratio sugar : salt = 1 : 2, and you want to know how much sugar solution to add to make the ratio 2 : 1.
AgesThe age ratios are an arithmetic progression with an odd number of terms, so the middle one is the average. That is, the average age of 25 years corresponds to 5 ratio units. Then the youngest boy is ...
3/5 × 25 = 15 . . . . years old
SolutionThe ratio 1 : 2 of sugar solution to salt solution tells you that the fraction that is sugar is 1/(1+2) = 1/3 of the whole amount, or ...
sugar solution = 1/3 · 45 L = 15 L
Then the salt solution is ...
salt solution = 45 L -15 L = 30 L . . . . . . . or (2/3·45 L)
To make the solution have twice as much sugar solution as salt solution, we need a total of 2·(30 L) = 60 L of sugar solution. We already have 15 L, so we need to add ...
added sugar solution = 60 L -15 L = 45 L
45 L of sugar solution must be added to make the sugar : salt ratio be 2 : 1.
__
Additional comment
The "solution" problem can also be worked by considering "ratio units." The original sugar:salt ratio is 1:2. To make it be 2:1 while keeping the salt constant, we need to increase the ratio from 1:2 to 4:2. That is, we need to add 4-1 = 3 units of sugar solution. The 45 L amount is the amount of 1+2=3 units of solution, so we need to add 45 L of sugar solution.
Related Questions
WILL MARK BRAINLYEST
A street sign is 8 feet tall and casts a shadow that is 28 feet long. At the same time, a nearby tree casts a shadow that is 210 feet long. How tall is the tree?
A.60
B.70
C.80
D.90
Answers
Explanation: The shadows are 3.5 times bigger than the original height so you divide 210 by 3.5 and you get 60. I hope this helped.
What is the perimeter of a square with side length: 3 cm Do not include units (cm) in your answer. I also will be reporting any links as answers
Answers
Answer:
perimeter of a square is 3 + 3 + 3 + 3 = 12 (cm)
Step-by-step explanation:
Or use the formula P = 4a = 4(3) = 12 (cm)
243 to the 1/5 power
Answers
Answer:
-3
Step-by-step explanation:
Answer: 3
How I know I use this app called Cymath.
The area of a rectangular living room is 264 square feet. The length of the room is 2 feet less than twice the width.
What is the width of the living room in feet?
Answers
9514 1404 393
Answer:
12 ft
Step-by-step explanation:
Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...
A = LW
264 = (2w-2)w
132 = w² -w . . . . . . . divide by 2, eliminate parentheses
132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square
√132.25 = w -0.5 . . . . . take the square root
0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root
The width of the living room is 12 feet.
Apr 08, 12:51:17 AM
Brittney wants to buy grapes and apples to bring to a party. Grapes cost $1.60
per pound and apples cost $1.75 per pound. If she only has $10 to spend on
grapes and apples, which inequality represents the situation where she buys x
pounds of grapes and y pounds of apples?
1.60x + 1.75y < 10
1.60x + 1.75y > 10
Submit Answer
1.75x + 1.60y < 10
1.75% + 1.60y > 10
Type here to search
O
12:5
4/8/
Answers
Answer: did you get a answer yet?
Step-by-step explanation:
Jonas has 16 carnations and 12 roses. He wants to make identical bouquets for a party. How many bouquets can he make?
Answers
Answer:
Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.
Step-by-step explanation:
Given that Jonas has 16 carnations and 12 roses, and he wants to make identical bouquets for a party, to determine how many bouquets can he make the following calculation must be performed, obtaining the largest common divisor between both numbers:
12 = Divisible by 2, 3, 4, 6 and 12
16 = Divisible by 2, 4, 8 and 16
Thus, the common greatest divisor between the two numbers is 4.
12/4 = 3
16/4 = 4
So, Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.
PLEASE HELP!!!!!!!!!! BRAINLIEST
Add the following fractions. Simplify and reduce to the lowest terms.
9/16 + 3/16
Answers
Answer:
3/4
Step-by-step explanation:
12/16
divided by 4
3/4
Answer: /34
Step-by-step explanation:
9/16 + 3/16
=(9+3)/16 ⇔ Fractions with the same denominator can subtract or add
=12/16 ⇔ Simplify
=(3×4)/(4×4) ⇔ Factor each number
=3/4 ⇔ Divide 4 on both numerator and denominator
Hope this helps!! :)
Please let me know if you have any questions
PLZ needed now plz URGENT!
Answers
Answer:
Realtionship B
Step-by-step explanation:
Relationship A doesn't pass the line test
17. An equation is shown.
3x7=+7
What number makes the number sentence true?
A 3
B, 14
C. 21
D. 28
Answers
Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?
Answers
Round 12,628 to nearest 1,000
Answers
Answer:
13000
Step-by-step explanation:
it's closer to 13000 than to 12000
Answer:
13000Step-by-step explanation:
12628 >>>13000
Me:
This is easy like what grade are you in?
Need the answer for x and y
Answers
Answer:
See below
Step-by-step explanation:
There is no 'y' in your question but I will answer the Q in the pic:
the two sides are equal so
10x-1 = 8x+11
2x = 12
x = 6 then CD = 8x+11 = 8(6)+ 11 = 59 units
-6x+8y=12 and -3x+4y=6
Answers
Answer:
3441
Step-by-step explanation:
PLS HOPE THIS HELP
help plese i beg of you
Answers
9514 1404 393
Answer:
k = 45 . . . miles per hourk = 1/45 . . . hours per mileStep-by-step explanation:
One way we can relate distance and time is ...
time = k × distance
Then the value of k (the constant of proportionality) is ...
k = time/distance = 4 hours/(180 miles)
k = (1/45) hours/mile
__
Another way we can relate the variables is ...
distance = k × time
Then the value of k (the constant of proportionality) is ...
k = distance/time = (180 miles)/(4 hours)
k = 45 miles/hour
5, 4, 16/5 find the 7th term
Answers
Answer:
a₇ = [tex] \frac{4096}{3125} [/tex]
6(5 - 8n) + 12 = -54
please step my step
Answers
Answer:
Look Below
Step-by-step explanation:
6(5 - 8N) + 12 = -54
-48N + 30 + 12 = -54
-48N + 42 = -54
(-48N + 42) + (-42) = -54 + (-42)
-48N = -96
-48N / 48 = N
-96 / 48 = 2
N = 2
Hope This Helps! If you find any fault in my answer please let me know. Thanks! Have a good day!
Help asap
Find the value of x. Round to the
nearest tenth.
3
4
X =
= [?]
Answers
Answer:
36.9°
Step-by-step explanation:
→ Identify the triangle required by seeing which side is not given
Hypotenuse is not given so we need to use Tan⁻¹ = Opposite / Adjacent
→ Substitute values in
Tan⁻¹ = ( 3 ÷ 4 )
→ Simplify
36.9°
HELP PLEASEEEE!!! SOMEONE HELP ME FOR ONCE, NO ONE IS ANSWERING MY QUESTIONS AND IM SO FREAKING STRESSED OUT. OH MY GOD SOMEONE PLS IM BEGGING YOU EXPLAIN YOUR ANSWER STEP BY STEP FOR ONCE
In 1985 an antique automobile club had 23,000 members. Since then its membership has grown at an average rate of 5% per year. Assuming this trend continues, how many members will there be in 2020? Round to the nearest thousand.
a) 112,000 members
b) 78,000 members
c) 151,000 members
d) 127,000 members
Answers
Answer:
I have come to the conclusion that it is A. 112,000
Answer:
d) 127,000 members
Step-by-step explanation:
In this problem we have an exponential function of the form
where a is the initial value
b is the base
The base is equal to b=1+r
r is the average rate
In this problem we have a=23,000 members
r=5%=5/100=0.05
b=1+0.05=1.05
substitute
x ----> is the number of years since 1985
How many members will there be in 2020?
x=2020-1985=35 years
substitute in the function
Round to the nearest thousand
Need the answer for x and y
Answers
Answer:
x = 7°
y = 10°
Step-by-step explanation:
7x = 49
x = 7°
180 = 13y + 1 + 49
combine like terms:
13y = 130
y = 10°
Answer:
X equals to 7 & y equals to 10 'cause ;
7X=49
X=7
50 + 13 y + 1 = 180
13y = 130
y=10
Step-by-step explanation:
Good luck.
hope it was helpful for u .
Find the slope of the line that passes through the given points.
Answers
Answer: -1/6
Step-by-step explanation:
slope= change of y over change of x
3-4/ 5--1=
-1/6
Hope this helps!
Answer:
-1/6
Step-by-step explanation:
(-1, 4) and (5, 3)
y2 - y1 / x2 - x1
y2 = 3
y1 = 4
x2 = 5
x1 = -1
(3 - 4) / (5 - -1)
-1 / 6
slope = -1/6
Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?
Answers
Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
-8
Og+3
8
9+3
-8+g
3
+3
Answers
Answer:
[tex]\dfrac{-8}{x+3}[/tex]
Step-by-step explanation:
We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".
Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.
So, we can write it as follows :
[tex]\dfrac{-8}{x+3}[/tex]
Hence, this is the required solution.
90:(3+6)-20.(60-55) propiedad
Answers
Answer:
https://www.commoncoresheets.com/Math/Properties/Applying%20Properties%20of%20Operations/Spanish/2.pdf
Step-by-step explanation:
This will help you:) not a spam link its a pdf that brings you straight to the worksheet <3
The graph of f (x) = (x - 2)² + 1 is shown below. What would the new equation of the function be if it is shifted up 2 units?
Answers
Answer:
f (x) = (x - 2)² + 3
Step-by-step explanation:
Adding 2 to the constant k would shift the entire equation upwards by 2.
In a survey at a shoe store, 200 customers were asked whether they have
running shoes or basketball shoes. The results are in the relative frequency
table.
Total
Have running shoes
0.23
Have basketball shoes
No basketball shoes
Total
No running shoes
0.31
0.32
0.14
What percentage of the people surveyed have basketball shoes?
A. 37%
B. 54%
O C. 46%
O D. 63%
Answers
Help me please it’s for math class
Answers
Answer:
No solution
Step-by-step explanation:
To start, a solution requires the lines to intersect
However both lines share a slope of -3 and are thus parallel
Since parallel lines dont intersect, there is no solution
Answer:
Hi! The answer to your question is A. No solution, i also have a picture to help you if u need it.
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
What is the y-intercept for this function?
y = x2 - 2x - 3
Answers
Answer:
-3
Step-by-step explanation:
for the following problems do at least one problem using unit form and at least one problem using fraction form 3.2 x 1.4=
Answers
A minute- hand of a clock is 16 in long. Find the distance traveled by the tip of the minute - hand in one hour.
Answers
8 * 8 = 64
64* 3.14 = 200.96
200.96 * 60 = 12057.6
Hope this helps (:
The quadratic equation y = –6x2 + 100x – 180 models the store’s daily profit, y, for selling soccer balls at x dollars.
The quadratic equation y = –4x2 + 80x – 150 models the store’s daily profit, y, for selling footballs at x dollars. Use a graphing calculator to find the intersection point(s) of the graphs, and explain what they mean in the context of the problem.
Answers
Answer:
The quadratic equation y = -4x2 + 80x - 150 models the store's daily profit, y, for selling footballs at x dollars. you can subtract 150 from both sides and use the quadratic formula to find x=4. It can make at most 120 units in one day. 3 1. Backward Bending Supply Curve.