I think 7 of them are girls and the rest are boys and how i got this answer is I took the 28 and divided it by 4 and got 7.
There are 16 girls in Mr. Chang's class.
the correct equation to determine the number of girls in Mr. Chang's class is [tex]\( 28 \times \frac{4}{7} = 16 \)[/tex]
The correct option is (b).
let's break down the problem step by step.
Given:
Total number of students = 28
Proportion of girls = 4/7
To find the number of girls in Mr. Chang's class, we need to multiply the total number of students by the fraction representing the proportion of girls.
So, we calculate:
[tex]\[ \text{Number of girls} = 28 \times \frac{4}{7} \][/tex]
Now, let's multiply:
[tex]\[ 28 \times \frac{4}{7} = \frac{28 \times 4}{7} \][/tex]
[tex]\[ = \frac{112}{7} \][/tex]
Now, we can simplify this fraction:
[tex]\[ \frac{112}{7} = 16 \][/tex]
So, there are 16 girls in Mr. Chang's class.
Therefore, the correct equation to determine the number of girls in Mr. Chang's class is:b.[tex]\( 28 \times \frac{4}{7} = 16 \)[/tex]
complete question given below:
Mr. Chang's class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls i Mr. Chang's class?
a.28+ 4/7 =49
b.28* 4/7 =16
c.4/7 / 28= 1/49
d.7/4 -28= 1/16
What is the value of 3x+4 when x= 2
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]3(2) +4 = ?[/tex]
3 times 2 is 6. Once you add that to 4 you get 10.
Hope this helps!
-Coconut;)
Solve the following equation for x:
4x – 10 = – 5x+8
Answer:
x = 2
Step-by-step explanation:
Given
4x - 10 = - 5x + 8 ( add 5x to both sides )
9x - 10 = 8 ( add 10 to both sides )
9x = 18 ( divide both sides by 9 )
x = 2
Gasoline costs 1.67 euro per liter in France. What is the price in dollars per gallon?
The price in dollars per gallon is 7.14 dollar per gallon
The dimensional analysis for calculating mathematical question follows a standard conversion process.
The first thing to do is to determine the equivalent amount of the same liter in dollar while in France. Then, equate it the quantity of liters to gallons.
In France:
1.670 euro = 1 literIf 1 euro = 1.13 dollars;Then, the amount of the same liter in dollars will be:
[tex]= \mathbf{\dfrac{1.670 \ euro \times 1.13 \ dollars}{1 euro}}[/tex]
= 1.8871 dollars per Liter
Now, we know that:
1.8871 dollars = 1 literIf 1 liter = 0.2641722 gallonsThen, we can say
1.8871 dollars = 0.2641722 gallons(x) dollar = 1 gallonThen, the amount of the dollars in gallons will be:
[tex]\mathbf{x = \dfrac{1.8871 \times 1 }{0.2641722}}[/tex]
x = 7.14 dollars per gallon
Therefore, we can conclude that the price in dollars per gallon is 7.14 dollar per gallon.
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The $130 fishing rod was first marked down 40 percent, and now it’s an additional 25 percent off. How much will it end up costing
Answer:$58.50
Step-by-step explanation:
The price was 130
With 40% off
Which reads out in this format
40/100*130= 52 dollars off the real price
130-52=78 dollars
Then later reduce by 25 percent
Now the price is 78 dollars
25/100*78= 19.5 dollar off the new price
So the real price will be
78-19.5=$58.5
The button below has a
diameter of 4 centimeters.
What is the area of the
button? Please Answer Quickly.
Answer:12.57
Step-by-step explanation:
To find the area of a circle with the radius, square the radius, or multiply it by itself. Then, multiply the squared radius by pi, or 3.14, to get the area. To find the area with the diameter, simply divide the diameter by 2, plug it into the radius formula, and solve as before.
The area of the button is approximately 12.56 square centimeters.
Explanation:To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius. In this case, the diameter of the button is 4 centimeters, so the radius is half of the diameter, which is 2 centimeters. Plugging this value into the formula, we get A = π(2 cm)². To calculate the area, we need to use an approximation of π, which is 3.14. Therefore, the area of the button is approximately 12.56 square centimeters.
write the following comparison as a ratio reduced to lowest terms. 36 nickels to 30 dimes
Answer:
6:5
Step-by-step explanation:
because 30 and 36 can both be divided by 6;
36/6= 6
30/6= 5
so the ratio is 6 to 5
The ratio of 36 nickels to 30 dimes, reduced to its lowest terms, is 6:5.
To write the comparison of 36 nickels to 30 dimes as a ratio reduced to its lowest terms, we need to find the greatest common divisor (GCD) of 36 and 30 and then divide both numbers by the GCD.
Step 1: Find the GCD of 36 and 30:
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
The common factors are 1, 2, 3, and 6. The greatest common divisor (GCD) is 6.
Step 2: Divide both numbers by the GCD (which is 6):
36 ÷ 6 = 6
30 ÷ 6 = 5
The reduced ratio is 6:5.
So, the ratio of 36 nickels to 30 dimes, reduced to its lowest terms, is 6:5.
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A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8centimeters.
Answer:
Step-by-step explanation:
What's the question?
What is the difference of (Negative 3.4 x + 4.7) minus (3 + 2.9 x)?
Negative 0.5 x + 1.7
Negative 6.3 x minus 1.7
Negative 0.5 x minus 1.7
Negative 6.3 x + 1.7
Answer:
negative 6.3 x + 1.7
The difference of (-3.4x + 4.7) And (3 + 2.9 x) is, -6.3 x + 1.7. So Option D is correct
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Two expressions,
(-3.4x + 4.7)
And (3 + 2.9 x)
The difference = ?
The difference of the two expressions, (-3.4 x + 4.7) and (3 + 2.9 x), is calculated as follows:
= (-3.4 x + 4.7) - (3 + 2.9 x)
= -3.4 x + 4.7 - 3 - 2.9 x
= -3.4 x - 2.9 x + 4.7 - 3
= -6.3 x + 1.7
So, the difference of the two expressions is -6.3 x + 1.7.
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A square has sides of 6X. Which
expression shows the perimeter of the square
Answer:
If a square has all four sides
Each side equals 6x
Then to find the perimeter of a square you take one of the sides and multiply is by 4
6x*4
24x
Hope this helps ;)
A $220 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)
Answer:$198
Step-by-step explanation:
.10 x 220= 22
220-22= 198
To find the sale price of the suit, calculate 10% of the original price, which is $22. Subtract this amount from the original price to get the sale price of $198.
Explanation:To figure out the sale price of the suit, we need to begin by determining the amount of the discount. Because the discount is 10%, we will calculate 10% of $220. The way to calculate this is by multiplying 220 by 0.10 (which is the decimal equivalent of 10%). This comes out to $22. Next, we subtract this discount from the original price of the suit. So, $220 - $22 equals $198. The sale price is therefore $198.
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Consider the following piece-wise function.
How would the portion of the graph labeled "a" be defined?
The line is rising up to the left and it starts at -2,-2
If you were to continue the line to cross the y a is it would cross at (0,-3)
Find the slope
Slope = (-2 - -1) / (—2 - -4) = -1/2
It would be y= -1/2x-3 when x<-2
Answer:
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What is the result of 3 divided by three-fifths?
Answer:
5
Here is the working:
Answer:
5
Step-by-step explanation:
Ava buys a carousel that is 80% off, if Ava pays $36 what was the original price
Answer: $45
Step-by-step explanation:
Let the original rice of the carousel = $x
Therefore cost Price = $36
Discount is 80% of the original price $x = $36
To calculate x , we find 80% of $x and equate to $36
= ⁸⁰/₁₀₀ ˣ $x
= 80x/100
80x/100 = 36
Now, multiply through by 100 and divide by 80
80x = 3600
x = $45.
The original price of the carousel = $45.
How many solutions does this system of equations have? y = 4x - 4 y = -4x + 4
Answer:
Step-by-step explanation:
y = 4x - 4 ......slope here is 4 and y int is -4
y = -4x + 4...slope here is -4 and y int is 4
now we compare our slopes and y int's....
learn these, it helps...
if the slopes are different, and y int's are different, then u have 1 solution.
if the slopes are the same and the y int's different, then u have no solutions
if the slopes are the same and the y int's the same, there are infinite solutions.
so ur answer is : 1 solution
1. The Scout camp bought 517 new
camping chairs for campers to use. Each
chair cost $ 22.) Which of the amounts
below would be reasonable estimates of
the total cost of the chairs?
A. $1,000
B. $10,000
C. $7,000
D. $12,500
E. $1,500
Show your work and I'll make ur answer as brilliant and I'll follow you
Of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida. Find the number preferring to vacation in Florida..
Answer:
238 is the answer
Step-by-step explanation:
68 percent of 350 is 238
-DH
The number preferred to vacation in Florida is 238.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that, of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida.
The number of people will be calculated as,
N = 68% of 350
N = ( 68 x 350 ) /100
N = 238
Therefore, the number preferred to vacation in Florida is 238.
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A florist puts together a bouquet of roses. She uses 2 red roses for every 3 white roses. If she uses 12 white roses, how many red roses will she use?
Answer:24 red roses
Step-by-step explanation:
You would multiply 12 by two
Answer:
8 red roses
Step-by-step explanation:
If you multiply 2 and 3 by 4 you will get 12 white roses and 8 red ones.
How to simplify the expression -6 - 7 (-5) +6
PLEASE MARK BRAINLIEST!
Answer:
Let's do it!
Step-by-step explanation:
-6 - 7(-5) + 6
-6 + (-7)(-5) + 6
-6 + 35 + 6
-6 + 41
35
[To think of it another way, 6 and -6 cancel out to become zero, so our answer is 35].
I hope this answered your question!
- sincerelynini
How do change 10/4 into a mixed number
Answer: 2 and 2/4
Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.
So here, we have 4 divided into 10.
4 divides into 10 one time, 2 times 4 is 8 and 10 - 8 is 2.
So 4 divides into 10 two times with a remainder of 2.
So we have 2 wholes and 2 out of 4 parts or 2 and 2/4.
So the improper fraction 10/4 can be written as the mixed number 2 and 2/4.
To convert the fraction 10/4 into a mixed number, we need to divide the numerator (10) by the denominator (4). When we divide 10 by 4, we get 2 with a remainder of 2.
The whole number part is derived from the division result, which is 2. The remainder becomes the numerator of the fractional part, while the denominator remains the same.
Therefore, 10/4 can be expressed as the mixed number 2 2/4. However, to simplify the mixed number, we can reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
In this case, the GCD of 2 and 4 is 2. So, simplifying the fraction yields 2 1/2 as the final mixed number representation of 10/4.
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Will choose brainliest and 12 points
The ordered pair (a, b) satisfies the inequality y – 6 > 2x. Which statement is true?
Answer:
the answer is: if you multiply a by 2 and then add 6, the result will be less than b.
Step-by-step explanation:
Hope this helps!
Please mark as brainliest.
The same inequality is when you multiply a by 2 and then add 6, the result will be less than b so option (C) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given inequality,
y – 6 > 2x
Put x = a and y = b
b - 6 > 2a
b > 2a + 6
The above inequality represents when you multiply a by 2 and then add 6, the result will be less than b.
Hence "The same inequality is when you multiply a by 2 and then add 6, the result will be less than b".
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The perimeters of the square and the regular pentagon are equal.
What is the perimeter of each polygon?
A.12
B.15
C.42
D.60
Good evening ,
Answer:
D.60Step-by-step explanation:
Perimeter of the the square = 4(3x+3) = 12x + 12
perimeter of the pentagon = 5(x+8) = 5x + 40
the perimeters are equal means 12x + 12 = 5x + 40
12x + 12 = 5x + 40 ⇔ 7x = 28 ⇔ x = 4
x=4 ⇒ 4(3x+3) = 4×15 = 60
⇒5(x+8) = 5(4+8) = 60
:)
Find the probability of rolling factors of 3
Final answer:
The probability of rolling factors of 3 on two six-sided dice is 13 out of 36 possible outcomes, which simplifies to approximately 0.361 or 36.1%.
Explanation:
Calculating the Probability of Rolling Factors of 3
To find the probability of rolling factors of 3 when tossing two dice, we must consider the combinations that result in multiplying to three or being a multiple of three. Each die has six faces, so there are a total of 6 x 6 = 36 possible outcomes when rolling two dice. The factors of 3 are 1 and 3. So we have to count the outcomes where at least one of the dice shows a 3 or both dice show 1, which are the relevant factors of 3. If we roll a 3 on one die, the other die can show any number from 1 to 6, giving us 6 outcomes. If we roll a 3 on the other die, we again have 6 different outcomes. However, this would double-count the scenario where both dice show 3, so we must subtract this outcome once.
Therefore, the number of favorable outcomes is (6 + 6 - 1 = 11). The probability can be computed as the number of favorable outcomes divided by the total number of possible outcomes, giving us a probability of 11/36.
If we want the probability of getting one 1 and one 3 in two tosses, we must add to this the probability of tossing a 3 first and a 1 second. The event of rolling a 1 and then a 3, or 3 and then a 1, each has a probability of 1/36. As there are two ways this can happen (1 then 3, or 3 then 1), the probability for this event is 1/36 + 1/36 = 2/36 or 1/18, which must be added to our initial 11/36.
Hence, the final probability of rolling factors of 3 on two dice is (11/36) + (1/18) = (11/36) + (2/36) = 13/36.
solve and simplify.. 1/2 ÷6 =
Answer:
1/12
Step-by-step explanation:
1/2 ÷ 6
is the same as;
1/2 × 1/6 = 1/12
fred and wilma purchase a new home for 150,000. The vaule of the home increases by 4% every 3 years. Determine the value of the home after 20 years
Fred and Wilma's home increases in value by 4% every 3 years. Using the compound interest formula, it's calculated that after approximately 6 full periods in 20 years, the value of the home is approximately $189,740.10.
Explanation:Fred and Wilma's home value increases by 4% every 3 years. To calculate the value of the home after 20 years, we need to first determine how many 3-year periods fit into 20 years, which is approximately 6.67 periods. However, since the home value increases only at the end of each 3 year period, we only consider the full periods, making it 6. We use the formula for compound interest: A = P(1 + r/n)^(nt), where:
A is the amount of money accumulated after n years, including interest. P is the principal amount ($150,000 in this case). r is the annual interest rate (decimal). n is the number of times that interest is compounded per year. t is the time in years.
Substituting the values into the formula, we get: A = $150,000 (1 + 0.04/1)^(1*6). After performing the calculations, the future value of the home after 20 years approximately equates to $189,740.10.
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Forty five children attend a preschool. The number of two year olds is one half the number of three year olds. The number of four year olds is the same as the number of three year olds.
Answer:
9 two year olds, 18 three year olds, 18 four year olds
Step-by-step explanation:
Let's say x is the number of 2 year olds. There are double the number of three year olds (2x) . Four year olds is the same as 3 year olds (2x).
x + 2x +2x = 45
5x=45
x= 9
Double is 18 for 3 and four year olds.
The mathematical problem deals with finding the number of children in each age group at a preschool. By setting up an equation with the given ratios and total, we calculate that there are 9 two-year-olds, 18 three-year-olds, and 18 four-year-olds attending the preschool.
The question is a mathematical problem related to ratios and the counting of different age groups in a preschool setting.
To solve this, we first let the number of three-year-olds be represented by a variable, say 'x'. Since the number of two-year-olds is half the number of three-year-olds, we represent them as 'x/2'.
The number of four-year-olds is the same as the number of three-year-olds, which would also be 'x'. The total number of children in the preschool which is given as 45 can be expressed as the sum of two-year-olds, three-year-olds, and four-year-olds, which gives us the equation: x/2 + x + x = 45.
By solving the equation, we can determine the number of children in each age group. Multiplying both sides of the equation by 2 to eliminate the fraction, we get 2*(x/2) + 2*x + 2*x = 2*45, which simplifies to x + 2x + 2x = 90. Combining like terms we get 5x = 90, and by dividing both sides by 5, we find that x = 18.
Therefore, there are 18 three-year-olds, 18 four-year-olds, and half of 18, which is 9, two-year-olds attending the preschool.
Donuts at the store are $0.60 each or $5.88 for a dozen. What is the difference in the unit rates
Step-by-step explanation:
Unit rate means one, if you buy 1 donuts you pay $0.60 for it, if you buy 12 you pay 5.88÷12=$0.49 per donut. The difference between them is 0.60-0.49=$0.11
Can someone help? pls.. (Find the range for the following set of data: 10.3, 12.8, 12.9, 15.3, 15.9, 11.5, 4.3, 7.9, 9.6, 13.6, 2.8) a. 11.5 c. 12.1 b. 13.1 d. 11
Answer:
B. 13.1
Step-by-step explanation:
To find the range of a set of data, first, order the numbers from least to greatest:
2.8, 4.3, 7.9, 9.6, 10.3, 11.5, 12.8, 12.9, 13.6, 15.3, 15.9
Next, find the least and greatest number:
2.8, 4.3, 7.9, 9.6, 10.3, 11.5, 12.8, 12.9, 13.6, 15.3, 15.9
Subtract the least number from the greatest number:
15.9 - 2.8 = 13.1
B. 13.1 is your answer.
~
How do you find point-slope form with 2 points?
y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given. First, we need to find the slope m from the given points. Now put the point (2,3) in the point-slope equation along with the slope m to find the equation of the line between the two points.
Answer:
Slope is m = Y2-Y1
X2-X1
Step-by-step explanation:
Use this equation to find the slope of part 1
Then you do y-y1=m(x-x1)
Point R is at (3, 2) and Point S is (-3, -1). Determine the length RS.
Answer: RS = 3[tex]\sqrt{10}[/tex]
Step-by-step explanation:
To calculate the length RS , all we need do is to find the distance between R and S. The formula for finding the distance between two points is given as :
D = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]x_{1}[/tex] = 3
[tex]x_{2}[/tex] = -3
[tex]y_{1}[/tex] = 2
[tex]y_{2}[/tex] = -1
Substituting the values we have :
RS = [tex]\sqrt{(-3-3)^{2}+(-1-2)^{2}}[/tex]
RS = [tex]\sqrt{9^{2}+3^{2} }[/tex]
RS = [tex]\sqrt{81+9}[/tex]
RS = [tex]\sqrt{90}[/tex]
this can also be written as
RS = [tex]\sqrt{9}[/tex] X
RS = 3[tex]\sqrt{10}[/tex]