Answer:
4/5
Step-by-step explanation:
The purple paint is split into 16+3+1=20 parts: 16 parts of white, 3 parts of blue, and 1 part of red. Thus, in one gallon of purple paint, 16 out of the total 20 parts are white paint, so there are 16/20 x 1 gallon = 4/5 gallons of white paint in one gallon of purple paint.
The amount of white paint that is needed in order to make a gallon of purple paint would be 4 / 5 gallons.
How to find the number of gallons ?The ratio of white:blue:red paint is given as 16:3:1. The sum of these ratio components gives the total parts for one 'unit' of paint.
So, 16 (for white) + 3 (for blue) + 1 (for red) = 20 total parts.
This implies that the 20 parts in this ratio make up 1 gallon of purple paint (as per the question). To find the quantity of white paint needed, we simply need to convert the 'parts' of white paint into gallons.
Since 20 parts is equivalent to 1 gallon, 1 part would be equivalent to 1/20 of a gallon. Therefore, 16 parts of white paint would be equivalent to :
= 16 * (1/20)
= 16/20
= 4/5 gallons
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The Nash family spent a total of $240 on a hotel room for 3 nights. Which equation can be used to find c, the average cost per night for the hotel room?
Answer:
240 divided by 3 = c
Step-by-step explanation:
Tricky...it is $240 for all 3 nights....not $240 per night. So it is division NOT multiplication.
What is the absolute value of 8.2
Which expressions are equivalent to 4b?
Options:
b+2(b+2b)
3b+b
None of the above
basking in the sun
swimming
increasing or decreasing activity level
These are all activities a cold-blooded reptile may do to maintain
A) homeostasis.
B) body weight.
C) peer dominance.
D) blood sugar levels.
richard bought rolls for a bbq he bought 4 1/4 dozen wheat rolls and 5 2/3 snowflake rolls if 4 1/3 were eaten at the bbq how many dozen rolls does richard have left
Answer: Richard has 5 7/12 rolls left.
Step-by-step explanation:
Hi to answer this question, first, we have to sum the amount of rolls Richard bought for the bbq:
4 1/4 + 5 2/3 = 4 3/12 + 5 8/12 = 9 11/12
Finally we have to subtract the amount of rolls eaten at the bbq to the previous number.
9 11/12 - 4 1/3 = 9 11/12 - 4 4/12= 5 7/12
So, Richard has 5 7/12 rolls left.
Feel free to ask for more if needed or if you did not understand something.
complete the table. then describe a pattern in the decimal forms o the fractions.
what fraction of £3.00 is 50p
four-fifths of a number minus two is greater than three-tenths of twice that number/7149414/48fd5230?utm_source=registration
In the expression 1/4 divided by 5/7, which of the following is the divisor
1/4
4
5/7
7
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Given expression 1/4 divided by 5/7
For any division [tex]\frac{a}{b}[/tex]
'a' is the dividend and 'b' is the divisor
Denominator is the divisor
[tex]\frac{\frac{1}{4} }{\frac{5}{7}}[/tex]
Here, the denominator is 5/7
So the divisor is [tex]\frac{5}{7}[/tex]
two thirds of a number decreased by six is two. what is the number?
Write the rule for the pattern. 128, 64, 32, 16, . . .
Each term in the sequence is obtained by dividing the previous term by 2. Therefore, the rule for the pattern in the given sequence is to halve each term to obtain the next term.
The pattern in the given sequence is a halving pattern.
The rule for the pattern:
1. The first term in the sequence is 128.
2. Each subsequent term is obtained by dividing the previous term by 2.
Let's see how this rule applies to the given sequence:
128 / 2 = 64
64 / 2 = 32
32 / 2 = 16
Every term in the series is created by dividing the one before it by two. The rule for the pattern in the above sequence is to divide each phrase in half to produce the following term.
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math question down below
m+2m+(2m+16)+(m-10)=150 please help me solve.
-33 < -7n - 12 < -26
Select the next two terms in the pattern. 0.4, 2, 10, 50, . . .
PLEASE HELP I WILL GIVE 50 POINTS
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought?
49 + 28 = 4(7 + 7)
49 + 28 = (7)(7) + (14)(2)
49 + 28 = (7)(14) + (7)(7)
49 + 28 = 7(7 + 4)
Answer:
7
Step-by-step explanation:
The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?
X | Y
-9 | 5
0 | 3
9 | 1
Can someone please help me and explain this to me ! Thanks !
How many 3/4 pound packages can you make with 6 pounds of sunflower seeds ?
2/3 of 24 bananas is what
A bus seats 4 people in a row, and there are 12 rows. How many people would fit on 2 buses?
What is the solution to the equation 1/6n =2?
How many decimal places are in the product of 1.91 and 2.3?
Paula weighed 65.5 kilograms before she started training she as lost 3500grams how much does she weigh
1 kilogram = 100 grams
3500 / 1000 = 3.5 kilograms
65.5 - 3.5 = 62
she weighs 62 kilograms
Julio has a bag containing 7 red marbles, 8 blue marbles, 3 green marbles and 9 yellow marbles . He randomly draws 3 red marbles, 1 blue marble, and 2 yellow marbles from the bag. What is the probability that the next marble he draws is green?
The graph of an inequality is an open circle around the number five with the line shaded to the right of five. Which inequality could this represent?
A number x plus 10 is more than 2
Trevon, Leah, and Beth are playing a computer game. Trevon scores -8. Beth’s score was 3/4 of trevons score, and Leah’s score was 1/4 of Beth’s score. What was Leah’s score
Answer:
[tex]-1.5[/tex]
Step-by-step explanation:
We have been given that Beth's score is 3/4 of Trevon's score.
[tex]\text{Beth's score}=-8\times \frac{3}{4}[/tex]
[tex]\text{Beth's score}=-2*3[/tex]
[tex]\text{Beth's score}=-6[/tex]
We are also told that Leah’s score was 1/4 of Beth’s score.
[tex]\text{Leah's score}=-6\times \frac{1}{4}[/tex]
[tex]\text{Leah's score}=-\frac{3}{2}[/tex]
[tex]\text{Leah's score}=-1.5[/tex]
Therefore, Leah score was [tex]-1.5[/tex].
A veterinarian needs to know an animal's weight in kilograms. If 20 pounds is about 9 kilograms and a dog weighs 30 pounds, use a ratio table to find the dogs weight in kilograms.
X+6y=29
2x-4y=-6
Solve for x in the first equation
Final answer:
To solve for x in the equation X + 6y = 29, subtract 6y from both sides to isolate x, resulting in x = 29 - 6y. The solution for [tex]\( x \)[/tex] in the first equation is [tex]\( x = \frac{19}{2} \).[/tex]
Explanation:
To solve for [tex]\( x \)[/tex] in the first equation [tex]\( x + 6y = 29 \)[/tex], we can isolate [tex]\( x \)[/tex] by subtracting [tex]\( 6y \)[/tex] from both sides of the equation:
[tex]\[ x + 6y - 6y = 29 - 6y \][/tex]
[tex]\[ x = 29 - 6y \][/tex]
Now, we can substitute this expression for [tex]\( x \)[/tex] into the second equation [tex]\( 2x - 4y = -6 \):[/tex]
[tex]\[ 2(29 - 6y) - 4y = -6 \][/tex]
First, distribute the 2:
[tex]\[ 58 - 12y - 4y = -6 \][/tex]
Combine like terms:
[tex]\[ 58 - 16y = -6 \][/tex]
Next, isolate the term with [tex]\( y \)[/tex] by adding [tex]\( 16y \)[/tex] to both sides:
[tex]\[ 58 - 16y + 16y = -6 + 16y \][/tex]
[tex]\[ 58 = -6 + 16y \][/tex]
Now, isolate [tex]\( y \)[/tex]by subtracting 6 from both sides:
[tex]\[ 58 - 6 = 16y \][/tex]
[tex]\[ 52 = 16y \][/tex]
Finally, solve for [tex]\( y \)[/tex] by dividing both sides by 16:
[tex]\[ \frac{52}{16} = y \][/tex]
[tex]\[ y = \frac{13}{4} \][/tex]
Now that we have found the value of [tex]\( y \)[/tex], we can substitute it back into the expression we found for[tex]\( x \)[/tex]:
[tex]\[ x = 29 - 6\left(\frac{13}{4}\right) \][/tex]
[tex]\[ x = 29 - \frac{39}{2} \][/tex]
[tex]\[ x = \frac{58}{2} - \frac{39}{2} \][/tex]
[tex]\[ x = \frac{19}{2} \][/tex]
Therefore, the solution for [tex]\( x \)[/tex] in the first equation is [tex]\( x = \frac{19}{2} \).[/tex]
Naomi has earned$54 mowing lawns the past two days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the same ammount every hour she works, how much does she earn per hour? (show your work)
Answer:
Naomi earns $8 per hour.
Step-by-step explanation:
Naomi has earned$54 mowing lawns the past two days.
She worked 2.5 hours yesterday and 4.25 hours today.
Suppose she earns x dollars per hour and is paid the same amount every hour she works.
We get the equation;
[tex]2.5x+4.25x=54[/tex]
[tex]6.75x=54[/tex]
x = 8
Hence, she gets $8 per hour.