I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
Which one?
A or B?
Anne works for a company that manufactures liquid dyes for clothing. She currently wants to mix up some 30%-concentrated red dye. She has 66 gallons of 21%-concentrated red dye, as well as plenty of 51%-concentrated red dye. How many gallons of the 51%-concentrated red dye will Anne need to add to the 21%-concentrated red dye to make a batch with a concentration of 30%?
Answer:
28.29 gallons
Step-by-step explanation:
Given that the available amount of 21%-concentrated red dye= 66 gallons.
Let x gallons of 51%-concentrated red dyes to be mixed with 56 gallons of 21%-concentrated red dye to get 30%-concentrated red dyes.
Total amount of the resulting mixture = 66 + x gallons.
Amount of red dyes in the mixture = (21% of 66) + (51% of x)
To get the resulting mixture as 30%-concentrated red dyes, we have
30% of (66+x) = (21% of 66) + (51% of x)
[tex]\Rightarrow 30(66+x)=21\times66+51x\\ \Rightarrow 30\times 66 +30x= 21\times66+51x\\\Rightarrow 51x-30x=66(30-21)\\\Rightarrow 21x=66\times 9\\\Rightarrow x = 28.29[/tex]
Hence, the amount of 51%-concentration red dyes to be mixed = 28.29 gallons.
Solve for m: 2m + 5-3m = 7
Answer:
m=-2
Step-by-step explanation:
Answer: m = -2
Step-by-step explanation:
Simplify 2m + 5 - 3m to -m+ 5
-m + 5 = 7
Regroup terms.
5 - m = 7
Subtract 5 from both sides.
-m = 7 - 5
Simplify 7 - 5 to 2
-m = 2
Multiply both sides by -1
m = -2
Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?
Answer:
19/24 pounds
Step-by-step explanation:
To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).
[tex] \frac{3}{8} + \frac{5}{12} [/tex]
[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]
[tex] \frac{9}{24} + \frac{10}{24} [/tex]
[tex] \frac{19}{24} [/tex]
What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))
Answer:
Ues the site called quetext is helps
Step-by-step explanation:
Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.
What is Distributive property?Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
(2a)^4
=2^4.a^4
The value of 2^4 is 16, because 2^4=2*2*2*2=16.
=16a^4.
Therefore by distributive property of exponents (2a)^4 = 16a^4.
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please answer the questions circled aka: Lillie’s grandmother is making potato salad for a family reunion. She uses three potatoes for each person attending the dinner. If she expects 24 people to attend the reunion, which proportion can be used to solve for p, the number of potatoes? * AWNSER CHOICES ARE ON THE PICTURE and number 2: A 5 lb. package of chicken costs $6.00. What is the cost per pound? *
Answer:
c
Step-by-step explanation:
the second question 65cent
Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry
Answer:
21:12
Step-by-step explanation:
Answer:
7:4
Step-by-step explanation:
because u simplify 21:12 and u would get 7:4
Solve the system of equations -2x+3y=3 x-2y=2
Answer:
(-12, -7)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Which point represents the unit rate?
Answer:
Point C
Step-by-step explanation:
Unit rate is always how much it is for 1 and point C has a 1 in it's coordinate pair. It isn't point B because point B is not graphed on the line.
Answer:
C.
Step-by-step explanation:
Avas heart rate is 65 beats per minute. If avas heart beat 748,800 times, how many full days would have elapsed
Answer:
520 full days.
Step-by-step explanation:
Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.
I hope this helps:)
I NEED HELP ASAPPPPP
Answer:
6 decimal places.
Step-by-step explanation:
It's a pretty simple problem. Just simply divide 355 by 113. When you do that you get 3.14159292, which is 6 decimal place accuracy because pi in your problem, is equal to 3.141592654. Then you just count the matching decimal places, which is 6.
I need help with this geometry
Answer:
90 degrees
step by step explanation:
LKM moves half way on the blender which is 90 degrees.
2x+5/3 = 3x-10
Please can anyone help?
Answer:
first bring x value together
Step-by-step explanation:
like 2x and 3x together and then take 5/3 to RHS and solve
DO NOT ANSWER IF YOU DO NOT KNOW, Will give brainliest, like, comment, and 5 points to answer
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Step-by-step explanation:
5:1 and 15:3 is equivalent because 5 ⋅ 3 = 15, and 1 ⋅ 3 = 3.
10.2 ⋅ 2.5 = 2.5.5 (This wasn't put into a ratio form.)
198:1,287 and 2:13 are equivalent because 198/99 = 2, and 1,287/99 = 13.
Simplify 0.05x + 1.02x.
1.07x
1.7
0.17x
Answer:
1.07x
Step-by-step explanation:
Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.
Answer:
It is 1.07x (✿◠‿◠)
Can someone help me out on this?
Answer:
<NMP and <QPR
Step-by-step explanation:
Look up corresponding angle examples. these angles are corresponding.
A line includes the points (6, 2) and (8, 6). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x −
Answer:
y=2x-10
Step-by-step explanation:
Hope this helps (:
A mobile dealer sells a mobile at a discount of 25% on its marked price and earns a profit of 10%. If the marked price of the mobile is 8800, what will be the cost price of the mobile? 6075
Discount = 25% .
Profit = 10%.
Marked price of mobile = Rs.8800.
Find :Cost Price of the mobile
Solution :As we know that, their is no direct relation between Mark price and cost price . so we have to work on selling price of the mobile.
So,
→ MP of mobile = Rs.8800
→ Discount = 25% .
than,
→ SP of mobile = MP * (100 - discount%) / 100
→ SP of mobile = 8800 * (100 - 25) / 100
→ SP of mobile = 88 * 75
→ SP of mobile = Rs.6600 .
Now,
→ SP of mobile = Rs.6600
→ Profit % = 10% .
than,
→ CP of mobile = SP * 100 / (100 + Profit%)
→ CP of mobile = 6600 * 100 / (100 + 10)
→ CP of mobile = (6600 * 100) / 110
→ CP of mobile = 60 * 100
→ CP of mobile = Rs.6000 . (Ans.)
Hence , Cost Price of the mobile is Rs.6000.
I hope it will help you.
Regards.
A percentage is a way to describe a part of a whole. The cost price of the mobile phone is 6,000.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
Let the cost price of the mobile be represented by x.
Given that dealer earn profit of 10% on its cost price, therefore, we can write the selling price of the mobile as,
Selling price = Cost price + Profit
= x + 10% of x
= 1.10x
Also, given that the mobile dealer sells a mobile at a discount of 25% on its marked price. Therefore, we can write the selling price as,
Selling price = Marked price - Discount
= Marked price - 25% of marked price
= 8,800 - 25% of 8,800
= 8,800 - 0.25(8,800)
= 8,800 - 2,200
= 6,600
Now, Comparing the sales price we got from above two equation, therefore, the cost price of the mobile can be written as,
1.10x = 6,600
x = 6,600/1.10
x = 6,000
Hence, the cost price of the mobile phone is 6,000.
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expand 3(z+3) please help me solve this
Answer:
3(z+3) = 3z + 9 if thats what your asking
Step-by-step explanation:
Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:
After 15 years?
(round to the hundredths place
Answer:
608.33
Step-by-step explanation:
two plus two plus four??
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Add from left to right 2+2=4 and then add 4+4 and you get 8
Please help ;^;^;^;^;
Answer:
-5
Step-by-step explanation:
The numbers went from -9t to -8t That means 1t=-5
Answer:
t = -5
Step-by-step explanation:
-9t - 5 = -8t
+-9. +-9
-5 = t
While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?
Answer:
157.6m
Step-by-step explanation:
Given
Horizontal distance = 181m
Length of the rope =240m
To know how high above Kayla was, we will use the Pythagoras theorem.
According to the theorem;
d² = x²+y²
x is the horizontal distance
y is the vertical distance
d is the length of the rope
Substitute
240² = 181²+y²
y² = 240²-181²
y² = 24839
y = √24839
y = 157.6m
Hence the boat is 157.6m above Kayla
what is the slope of a line that passes through 5,15 and 6,11?
Answer:
slope is -4, equation is y= -4x + 35
Step-by-step explanation:
11-15
______
6-5
-4
____
1
11 = -4(6) + b
b = 35
True or False: Every number has a limited amount of factors, but an unlimited amount of multiples.
Answer:
False
Step-by-step explanation:
0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.
Which expression is equivalent to-80? O-45 O-4/5 O 45 O 45
-4v5i
Step-by-step explanation:
What is the solution of 34x+2x=44
Answer:
x=11/9 hope this helped <3
Step-by-step explanation:
Let's solve your equation step-by-step.
34x+2x=44
Step 1: Simplify both sides of the equation.
34x+2x=44
(34x+2x)=44(Combine Like Terms)
36x=44
36x=44
Step 2: Divide both sides by 36.
el 30% del 40% de 60 es/ 30% of 40% of 60 is
Step-by-step explanation:
uiuhhhghjsjsisbsidgurdbridbr d
The width, w, of a rectangular pool is 15 feet. The area of the rectangular pool is no more than 75
square feet. Which inequality represents all possible lengths of the pool?
Answer:
1. W=15 L=5 or W=5 L=15.
Step-by-step explanation:
On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?
Distance = rate * time
Let r = rate
Distance is the same for both runs, so:
.5r = D = 3/4(r - 2)
Distribute (and convert .5):
2/4r = 3/4r - 3/2
Subtract 3/4 r from both sides:
-1/4r = -3/2
Multiply both sides by -4 to get a solitary r:
r = -3 * -4 / 2
r = 3 * 2
r = 6 miles per hour
.5 hours * 6 mi/hr = 3 miles
check:
6 - 2 = 4
3/4 hours * 4 mi/hr = 3 miles