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?
Graph y=−56x−4 .
Use the line tool and select two points on the line.
The two points on the line y = − 56x − 4 will be (1, −60) and (−1, 52).
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
y = − 56x − 4
Let x = 1, the value of y will be
y = − 56 (1) − 4
y = − 56 − 4
y = − 60
Let x = − 1, the value of y will be
y = − 56(−1) − 4
y = 56 − 4
y = 52
The two points on the line y = − 56x − 4 will be (1, −60) and (−1, 52). Then the diagram of the line is given below.
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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 $___.
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?
The track team ran a mile and a Quarter during their practice. How many kilometers did the team run
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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At Furnace Woods School, enrollment increased from 320 students in 2006 to 349 students in 2007. What is the percent increase in enrollment?
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 equivalent fraction would you have to use in order to add 3/5 to 21/25
7/8,42/48 determine whether each pair of ratios are equivalent ratios right yes or no
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
Three times the smaller of two consecutive EVEN integers IS four less than twice the larger. What are the two integers?
PLEASE HELP ME WITH THIS
The two consecutive even integers are 8 and 10.
Given that, three times the smaller of two consecutive even integers is four less than twice the larger.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let two consecutive even integers be x and x+2.
Now, 3x-4=2(x+2)
⇒ 3x-4=2x+4
⇒ 3x-2x=4+4
⇒ x=8
So, x+2=10
Therefore, the two consecutive even integers are 8 and 10.
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Is the answer for #2 12? I got 12
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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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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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
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?
The sun is about 93×10 of the power of 6 miles from earth what is the distance written in as a whole number
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
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
Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. Write an inequality to find the amount of sales that will meet her goal. Identify what your variable represents.
-0.3,0.5,0.55,-0.35 in least to greatest
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.
The three seventh grade classes at Sunview Middle School collected the most boxtops for a school fundraiser. They won a $600 prize to share among them. Mr. Aceves’ class collected 3,760 box tops, Mrs. Baca’s class collected 2,301, and Mr. Canyon’s class collected 1,855. How should they divide the money so that each class gets the same fraction of the prize money as the fraction of the box tops that they collected? Explain your reasoning.
Answer: The share would be approximately $285, $175, $141 respectively.
Step-by-step explanation:
Since we have given that
Number of box tops collected by Mr. Aceves's class = 3760
Number of box tops collected by Mrs. Baca's class = 2301
Number of box tops collected by Mr, Canyon's class = 1855
We first find the ration of box tops of Mr. Aceves, Mrs. Baca and Mr. Canyon respectively:
3760:2301:1855
Total = 3760+2301+1855=7916
Total amount to be share among them as a prize = $600
Mr. Aceves's share is given by
[tex]\dfrac{3760}{7916}\times 600\\\\=284.99\\\\\approx 285[/tex]
Mrs. Baca's share is given by
[tex]\dfrac{2301}{7916}\times 600\\\\=175.08\\\\\approx 175[/tex]
Mr. Canyon's share is given by
[tex]\dfrac{1855}{7916}\times 600\\\\=140.60\\\\\approx 141[/tex]
Hence, the share would be approximately $285, $175, $141 respectively.
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
Write an expression for the calculation subtract 10 divided into fifths from 20 divided in half.
Which fraction expresses 36/80 in lowest terms? Please help me ;D
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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ST has endpoints S(-2,-4) and T(6,8). Find the coordinates of the midpoint of ST.