Purple paint is made with a 16:3:1 ratio of white paint:blue paint:red paint. How much white paint, in gallons, is needed in order to make one gallon of purple paint? Express your answer as a common fraction.
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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Is the answer for #2 12? I got 12
nine is greater than or equal to 15 minus a number
write as a inequality
The inequality will be;
⇒ 9 ≥ 15 - x
Where, x is a number.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The expression is,
''Nine is greater than or equal to 15 minus a number''
Now,
Let a number = x
So, We can formulate;
The inequality for the given expression is,
⇒ 9 ≥ 15 - x
Thus, The inequality will be;
⇒ 9 ≥ 15 - x
Where, x is a number.
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Eliza earns $400 per week plus $15 for each new customer she signs up. Let c represent the number of new customers Eliza signs up. Write an expression that shows how much she earns in a week. Then find how much Eliza earns in a week in which she signs up 18 customers.
Answer:
400+ (15c)
$670
Step-by-step explanation:
Eliza earns per week = $400
She earns for each new customer's signs up = $15
Let the number of new customers Eliza signs up = c
The expression that shows her earning in a week will be
400+ (15c)
If the number of customers that signs up = 18
The weekly earning of Eliza will be = 400+(15 × 18)
= 400 + 270
= $670
Eliza's earning in a week would be $670.
A cake has a mass of 2.5kg. It contains 275g of fruit. What percentage of fruit is there in the cake
The percentage of fruit is there in the cake will be 11%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Mass of cake = 2.5 kg
And, The amount of fruit = 275 g
Now,
Find the percentage of fruit is there in the cake as;
Since, Mass of cake = 2.5 kg
= 2,500 g
And, The amount of fruit = 275 g
So, The percentage of fruit = 275 / 2,500 x 100
= 0.11 x 100
= 11%
Thus, The percentage of fruit is there in the cake will be 11%.
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The number of cows in a farm was 60% of the number of the goats. After 80 goats were taken out of the farm, the number of goats became 60% of the number of cows in the farm.
(a)how many cows were there in the farm?
(b) what is the percentage of the goats were moved out of the farm?
Subtract the second expression from the first. (4x^2 - 2x + 8) - (x^2 + 3x - 2)
A. 3x^2 + x + 6
B. 3x^2 + x + 10
C. 3x^2 - 5x + 6
D. 3x^2 - 5x + 10
A used-car dealer has a vehicle on the lot with a sticker price of $5999. if the dealer markup on used vehicles is 20%, how much did the dealer pay for the car?
Answer:
the correct APEX answer is $4999.17
The cost of car is $4,999.16.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
A used-car dealer has a vehicle on the lot with a sticker price of $5999.
Mark up = 20%
let the cost of Car be x.
So, x+ 20% of x = 5999
x + 20/100 x = 5999
x + 0.20 x = 5999
1.2 x= 5999
x = 5999/ 1.2
x = $4,999.16
Hence, the cost of car is $4,999.16.
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7/8,42/48 determine whether each pair of ratios are equivalent ratios right yes or no
Hours worked 2 4 5 8 Amount paid ($) 36.50 73 91.25 146
36.50/2 = 18.25 per hour
18.25 *4 = 73
18.25 * 5 =91.25
18.25 *8 = 146
What is the solution to the inequality x2 >49 (x squared is greater than or equal to 49) plz help
To solve the inequality x² ≥ 49, take the square root of both sides and consider both positive and negative roots. The solutions are x ≤ -7 or x ≥ 7.
To solve the inequality x² ≥ 49, we need to consider the values of x that satisfy this condition. Let's break it down step-by-step:
Step-by-Step Explanation
x² ≥ 49. To solve this, we can take the square root of both sides of the inequality. Remember, when taking the square root of both sides, we must consider both the positive and negative roots.
Solve for x: |x| ≥ √49.
Since √49 = 7, the inequality becomes: |x| ≥ 7.
This implies x can be greater than or equal to 7 or less than or equal to -7.
Therefore, the solution is: x ≤ -7 or x ≥ 7.
In interval notation, this solution is written as: x ∈ (-∞, -7] ∪ [7, ∞).
Use the distributive property of multiplication to find 7 x 22
Hint: 22 = 20 +2
Please show all work, Thank you:)
The distributive property of multiplication is used to simplify 7 x 22. By substituting 22 with 20 + 2 and distributing the multiplication, it becomes 7 x 20 plus 7 x 2, which equals 154.
Explanation:The question is asking us to use the distributive property of multiplication to calculate 7 x 22. The distributive property allows us to multiply a single term and two or more terms inside a set of parenthesis. Here we are given the hint that 22 = 20 + 2.
Following the hint, we substitute 22 with (20 + 2) in the multiplication expression. So, 7 x 22 becomes 7 x (20 + 2). Now, by distributive property, we can take the multiplication inside the parenthesis.
7 x 20 = 140 7 x 2 = 14
By adding both these results, 140 + 14, we get the final answer 154.
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The track team ran a mile and a Quarter during their practice. How many kilometers did the team run
An interior decorator purchased a painting for $95, a sofa for $225, a chair for $275, and an end table for $155. The tax was $60 and delivery was $75. If she paid for the furniture with $50 bills, how many bills were needed?
150 students at york middle school took part in the school clean up. This is 30% of the school's total students. How many students go to he middle school?
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Choose the function that represents the frog population after x years.
A. f(x) = 1,200(1.03)x
B. f(x) = 1,200(0.03)x
C. f(x) = 1,200(0.97)x
D. f(x) = 1,200(0.97)x
Which equivalent fraction would you have to use in order to add 3/5 to 21/25
The sun is about 93×10 of the power of 6 miles from earth what is the distance written in as a whole number
4.5 graphing linear equation in a standard form
Car rentals involve a $130 flat fee and an additional cost of $31.67 a day what is the maximum number of days you can rent a car if you have a $500 budget
ST has endpoints S(-2,-4) and T(6,8). Find the coordinates of the midpoint of ST.
At Furnace Woods School, enrollment increased from 320 students in 2006 to 349 students in 2007. What is the percent increase in enrollment?
Write an expression for the calculation subtract 10 divided into fifths from 20 divided in half.
Can I get help simplifying these three questions? Thanks!
First Question 3a–a+18–a
Second Question (a+3)–(a+2)
Third Question 43+a–2a
Stacy and Neil painted 280 ft2 of there living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gallons of paint?
Answer:
They can paint 1050 sq.feet with 3 gallons of paint
Step-by-step explanation:
Given :Stacy and Neil painted 280 ft2 of there living room wall with 4/5 gallon of paint.
To Find : How many square feet can they paint with 3 gallons of paint?
Solution :
Area painted with [tex]\frac{4}{5}[/tex] gallons of paint = 280
Area painted with 1 gallon of paint =[tex]\frac{280}{\frac{4}{5}} = 350 ft^2[/tex]
Area painted with 3 gallons of paint =[tex]350 \times 3 = 1050 ft^2[/tex]
Hence they can paint 1050 sq.feet with 3 gallons of paint
A baseball weighs 5 ounces and the NY Yankees ordered 3,200 baseballs. How many tons do the baseballs weigh?
Answer:
dont come at me if im wrong but im pretty sure the answer is 1/2 or .5
Step-by-step explanation:
Which fraction expresses 36/80 in lowest terms? Please help me ;D
original price: $119.00; Markdown: 70%
-0.3,0.5,0.55,-0.35 in least to greatest
It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cost. The sandwich sells for $___.