Answer:
18
Step-by-step explanation:
If forty percent of the class is boys, then sixty percent of the class is girls. So that means you must multiply .6 by 30 which will give you your answer of 18. .6 is a decimal form of 60%
The number of girls in the class is 60% or 18 girls
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of girls in the class be = G
Now , let the total number of boys in the class be = B
The total number of students in the class = S
The value of S = 30 students
The percentage of boys in the class = 40 %
So , the equation will be
The number of boys in the class = percentage of boys in the class x total number of students in the class
Substituting the values in the equation , we get
The number of boys in the class = ( 40/100 ) x 30
The number of boys in the class = 30 x 0.4
The number of boys in the class = 12 boys
So , the number of girls in the class = total number of students in the class - number of boys in the class
Substituting the values in the equation , we get
The number of girls in the class = 30 - 12
The number of girls in the class = 18 girls
Therefore , the value of G is 18 girls
Hence , The number of girls in the class is 60% or 18 girls
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Dexter read 11 science fiction books and 5 history books. Lena read 9 science fiction books and 4 history books. Compare the students' ratios of science fiction books to history books. 1. Determine the ratios' form: science fiction books to history books 2. Write the ratios as fractions: Dexter: 11 5 ; Lena: 9 4 3. Rewrite with a common denominator. 4. Compare. 5. Answer the question. Determine which shows the correct comparison of the ratios for this problem.
Answer:
1. [tex]Dexter = 11:5[/tex] [tex]Lena = 9:4[/tex]
2. [tex]Dexter = \frac{11}{5}[/tex] [tex]Lena = \frac{9}{4}[/tex]
3. [tex]Dexter = \frac{44}{20}[/tex] [tex]Lena = \frac{45}{20}[/tex]
4. [tex]\frac{45}{20} > \frac{44}{20}[/tex]
Step-by-step explanation:
Given
Dexter
[tex]Science\ Fiction = 11[/tex]
[tex]History = 5[/tex]
Lena
[tex]Science\ Fiction = 9[/tex]
[tex]History = 4[/tex]
Solving (1): Write as ratio
Represent Science Fiction with S and History with H
For Dexter;
[tex]Ratio = S : H[/tex]
[tex]Dexter = 11:5[/tex]
[tex]Lena = 9:4[/tex]
Solving (2): Write ratio as fraction
[tex]Fraction = \frac{S}{H}[/tex]
[tex]Dexter = \frac{11}{5}[/tex]
[tex]Lena = \frac{9}{4}[/tex]
Solving (3): Write as a common denominator
[tex]Dexter = \frac{11}{5}[/tex]
Multiply by [tex]\frac{4}{4}[/tex]
[tex]Dexter = \frac{11}{5} * \frac{4}{4}[/tex]
[tex]Dexter = \frac{44}{20}[/tex]
[tex]Lena = \frac{9}{4}[/tex]
Multiply by [tex]\frac{5}{5}[/tex]
[tex]Lena = \frac{9}{4} * \frac{5}{5}[/tex]
[tex]Lena = \frac{45}{20}[/tex]
Solving (4): Compare both fractions
By comparison;
[tex]\frac{45}{20}[/tex] is greater than [tex]\frac{44}{20}[/tex]
So, we have:
[tex]\frac{45}{20} > \frac{44}{20}[/tex]
Answer:
d
Step-by-step explanation:
Jessica is buying roses to sell at a fundraiser for school. She needs to purchase the roses at the lowest price per rose to allow for the highest profit margin. The roses are sold in bunches of 4, 6, 8, or 12. The chart below shows the prices for the different bunches of roses. Roses in Bunch Price 4 $7.98 6 $8.50 8 $10.25 12 $12.25 Based on the information in the chart, which size bunch would be the least expensive per rose? A. 4 B. 6 C. 8
Answer:
how do i comment
Step-by-step explanation:
The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds?
Answer:
[tex]E=3.97\times 10^{-27}\ \text{ergs}[/tex]
Step-by-step explanation:
It is given that,
The sun produces [tex]3.9\times 10^{33}\ \text{ergs}[/tex] of radiant energy per second.
We need to find how many ergs of radiant energy does the sun produce in [tex]1.55\times 10^7\ s[/tex].
Energy produced in 1 seconds = [tex]\dfrac{1}{3.9\times 10^{33}}\ \text{ergs}[/tex]
In [tex]1.55\times 10^7\ s[/tex], energy produced is :
[tex]E=\dfrac{1}{3.9\times 10^{33}}\times 1.55\times 10^7\ \text{ergs}\\\\=3.97\times 10^{-27}\ \text{ergs}[/tex]
Hence, the radiant energy produced in 1 second is [tex]3.97\times 10^{-27}\ \text{ergs}[/tex].
Answer:
Part A: It is given that,
The sun produces 3.9x10^33 ergs of radiant energy per second.
We need to find how many ergs of radiant energy does the sun produce in 1.55 x 10^7 s
Energy produced in 1 seconds = 1/3.9 x 10^33 ergs
In 1.55 x 10^7 s energy produced is : E=3.9/10^33 x 1.55 x 10^7 ergs
= 3.97 x 10^-27 ergs
In conclusion the radiant energy radiated per second 3.97 x 10^27 ergs
Step-by-step explanation:
On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than Nikki. How much did Tyler spend on apples?
$
Answer:
$3.75
Step-by-step explanation:
Answer:
The answer is $3.75
Step-by-step explanation:
I just answered the question on ed.
5×+6×12-3= -3×6×-15
xf es para hoy
a=4, b=2,c=-1 find value of a-b+c
Answer:
1
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
4-2-1=1
Answer:
1
Step-by-step explanation:
a-b+c
=4-2+(-1)
=2-1
=1
Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.
However, I'll solve for the vertex of the given function.
Given
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
Vertex, V is of the form:
[tex]V= (h,k)[/tex]
Where
[tex]h = -\frac{b}{2a}[/tex]
and
[tex]k = f(h)[/tex]
Solving for h:
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]y = ax^2 + bx + c[/tex]
So:
[tex]a = -9.5[/tex]
[tex]b = 47.5[/tex]
[tex]c = 63[/tex]
[tex]h = -\frac{b}{2a}[/tex]
[tex]h = -\frac{47.5}{2 * -9.5}[/tex]
[tex]h = -\frac{47.5}{-19}[/tex]
[tex]h = \frac{47.5}{19}[/tex]
[tex]h = 2.5[/tex]
Solving for k
[tex]k = f(h)[/tex]
[tex]k = f(2.5)[/tex]
Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]
[tex]k = -59.375+ 118.75 + 63[/tex]
[tex]k = 122.375[/tex]
Hence:
The vertex is
[tex]V = (2.5,122.375)[/tex]
Answer:
if ur doing savvas
Step-by-step explanation:
answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a
answer for the second one is:
vertex is = (-2.5, 122.375)
Answer please nowwwwwwwwwwwwwww
Answer:
25.25
Step-by-step explanation:
i think im not so sure :/
Answer:
25 [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
This is the answer because:
1) You have to convert 3 [tex]\frac{7}{11}[/tex] to an improper fraction. You can do this by multiplying 11 and 3 (the denominator and the whole number) then add 7 (the numerator). This equals to [tex]\frac{40}{11}[/tex].
2) [tex]\frac{40}{11}[/tex] x [tex]\frac{7}{1}[/tex] = [tex]\frac{280}{11}[/tex]
3) Finally. convert [tex]\frac{280}{11}[/tex] to an mixed fraction which is 25 [tex]\frac{5}{11}[/tex]
Therefore, the answer is 25 [tex]\frac{5}{11}[/tex]
Hope this helps! :D
slope of (9,-4) and (1,-4)
Answer: m = 0
..........................
9 - 3 divided by 1/3 + 1 = ?
Answer:
1
Step-by-step explanation:
Raia purchases a new car for $32,000 and finances it with a 6-year simple interest loan at a rate of 4.25% What are Raia’s monthly car payments?
Answer:
569
Step-by-step explanation:
Raia’s monthly car payments is $8160.
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that, Raia purchases a new car for $32,000 and finances it with a 6-year simple interest loan at a rate of 4.25%
We need to find;
What are Raia’s monthly car payments?
So, SI = PRT / 100
P = Principal amount
r = rate
T = time
So,
SI = 32000 x 4.25 x 6 / 100
= 8160
Hence, Raia’s monthly car payments is $8160.
Learn more about simple interest, click;
https://brainly.com/question/25845758
#SPJ3
Use the explicit formula to determine the 50th term in the sequence:
2,5,8,11,14,...
Answer:
149
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
a₅₀ = 2 + (49 × 3) = 2 + 147 = 149
If a = 3 and b = -1, find the value of the following expression.
Answer:
The required answer is 54.
Step-by-step explanation:
Given that a = 3 and b = (-1) . And we have to find the value of 2a³ b⁴ .
In such kind of problems , just substitute the given values of a and b to get the required answer .
So here ,
= 2a³ b⁴.
= 2 × (3)³ × (-1)⁴.
= 2 × 27 × 1 .
= 54
9Answer:
54
Step-by-step explanation:
2(3)^3 x (-1)^4
2 x (3^3) x 1
2 x 27 x 1
54
What is the constant of proportionality for this table?
d C
2 6.28
3 9.42
5 15.7
10 31.4
Answer:
C
Step-by-step explanation:
So if you start at the 8th floor then down 10 floors what dose that mean!!!!!!!
Answer:
-2 or basement
Step-by-step explanation:
there maybe a basement on the building
Please help! Due tomorrow!
Asheville, Candler, Canton, and Oteen are on the map. The scale for the map is 1/4 inch represents one mile.
PART A - If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?
PART B - If Candler and Oteen are 3 1/2 inch apart on the map, what is the actual distance between candler and Oteen in miles?
PART A: 2.25
PART B: 14
The side lengths of the rectangle (16, 32) are reduced by a scale factor of 1/4. What is the area of the new rectangle?
Answer:
32 i think
Step-by-step explanation:
16 divided by 4 is 4
32 divided by 4 is 8
4*8=32
Ruth wants to buy a skateboard for $56. She has $90 in her account. She spent $11.65 to buy stationary. She also wants to buy some comic books for $3.72 each. What is the maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard?
n ≥ 6
n ≤ 6
n ≤ 16
n ≥ 16
Answer:
n ≤ 6
Step-by-step explanation:
She can't buy more than 6 comic books in order to have enough money to buy skateboard.
90 - 11.65 - 56 = 22.35
Comic Books:
22.35 : 3.72 = 6.008
Answer:
IT B
Step-by-step explanation:
TOOK THE TEST AND IT WAS RIGHT
At grocery mart,apples are on sale 6 apples for $3.54. find the unit cost?
Answer:
$.59 per apple
Step-by-step explanation:
The unit cost is the price divided by the number of items
3.54 / 6
.59
$.59 per apple
Answer:
0.59 or .59
Step-by-step explanation:
3.54 divided by 6
100
Ave. High
Ave. Low
[Graphs generated by this script: initPicture(1.5,65.5,-8,32);stroke="cyan";line([10,0],[10,30]);line([65,0],[65,30]);line([10,0],[65,0]);line([10,5],[65,5]);line([10,10],[65,10]);line([10,15],[65,15]);line([10,20],[65,20]);line([10,25],[65,25]);line([10,30],[65,30]);stroke="green";text([10,-1],"Jan","right","0");stroke="red";text([10,13],"30","right","0");fill="red";rect([10.75,5],[12,12.5]);stroke="blue";text([11.5,-0.25],"-17","right","0");fill="blue";rect([12.25,5],[13.5,0.75]);stroke="purple";text([14.5,-1],"Feb","right","0");stroke="red";text([14.5,16],"42","right","0");fill="red";rect([15.25,5],[16.5,15.5]);stroke="blue";text([16,1.5],"-10","right","0");fill="blue";rect([16.75,5],[18,2.5]);stroke="black";text([19,-1],"Mar","right","0");stroke="red";text([19,19],"54","right","0");fill="red";rect([19.75,5],[21,18.5]);stroke="blue";text([20.5,2.75],"-5","right","0");fill="blue";rect([21.25,5],[22.5,3.75]);stroke="green";text([23.5,-1],"Apr","right","0");stroke="red";text([23.5,22],"66","right","0");fill="red";rect([24.25,5],[25.5,21.5]);stroke="blue";text([25,7.75],"7","right","0");fill="blue";rect([25.75,5],[27,6.75]);stroke="purple";text([28,-1],"May","right","0");stroke="red";text([28,26],"82","right","0");fill="red";rect([28.75,5],[30,25.5]);stroke="blue";text([29.5,12.25],"25","right","0");fill="blue";rect([30.25,5],[31.5,11.25]);stroke="black";text([32.5,-1],"Jun","right","0");stroke="red";text([32.5,28.75],"93","right","0");fill="red";rect([33.25,5],[34.5,28.25]);stroke="blue";text([34,14.25],"33","right","0");fill="blue";rect([34.75,5],[36,13.25]);stroke="green";text([37,-1],"July","right","0");stroke="red";text([37,29],"94","right","0");fill="red";rect([37.75,5],[39,28.5]);stroke="blue";text([38.5,16.25],"41","right","0");fill="blue";rect([39.25,5],[40.5,15.25]);stroke="purple";text([41.5,-1],"Aug","right","0");stroke="red";text([41.5,25],"78","right","0");fill="red";rect([42.25,5],[43.5,24.5]);stroke="blue";text([43,11.5],"22","right","0");fill="blue";rect([43.75,5],[45,10.5]);stroke="black";text([46,-1],"Sept","right","0");stroke="red";text([46,23],"70","right","0");fill="red";rect([46.75,5],[48,22.5]);stroke="blue";text([47.5,6.75],"3","right","0");fill="blue";rect([48.25,5],[49.5,5.75]);stroke="green";text([50.5,-1],"Oct","right","0");stroke="red";text([50.5,18],"50","right","0");fill="red";rect([51.25,5],[52.5,17.5]);stroke="blue";text([52,1.75],"-9","right","0");fill="blue";rect([52.75,5],[54,2.75]);stroke="purple";text([55,-1],"Nov","right","0");stroke="red";text([55,14.75],"37","right","0");fill="red";rect([55.75,5],[57,14.25]);stroke="blue";text([56.5,0.25],"-15","right","0");fill="blue";rect([57.25,5],[58.5,1.25]);stroke="black";text([59.5,-1],"Dec","right","0");stroke="red";text([59.5,14.5],"36","right","0");fill="red";rect([60.25,5],[61.5,14]);stroke="blue";text([61,0.25],"-15","right","0");fill="blue";rect([61.75,5],[63,1.25]);stroke="purple";text([1,15],"Degrees Fahrenheit","right","90");text([34,-2.5],"Month","right","0");text([22.5,31.5],"Average Monthly Temperature","right","0");text([5,0],"-20","right","0");text([5,5],"0","right","0");text([5,10],"20","right","0");text([5,15],"40","right","0");text([5,20],"60","right","0");text([5,25],"80","right","0");text([5,30],"100","right","0");fill="white";rect([19,-7.5],[54,-3.5]);fill="red";rect([20,-6.5],[25,-4.5]);stroke="black";text([25,-5.5],"Ave. High","right","0");fill="blue";rect([40,-6.5],[45,-4.5]);stroke="black";text([45,-5.5],"Ave. Low","right","0");]
Using the bar graph from above to answer the following questions:
a) What is the average monthly low temperature for Bogusville?
∘
F
b) What is the average monthly high temperature for Bogusville?
∘
F
c) What is the average monthly high temperature for Bogusville during the fourth quarter of the year?
∘
F
d) What is the average monthly low temperature for Bogusville during the fourth quarter of the year?
I really need help. pls help
What congruent triangles have in common with similar triangles is that ....
What the main difference between congruent triangles and similar triangles is that ....
CAN SOMEONE PLS HELP WITH THIS!!
Answer:
4/5
Step-by-step explanation:
{(2/5) / (1/2)} ×1
= (2/5)÷(1/2)
= 2/5×2/1
= 4/5
Answer:
4/5
Step-by-step explanation:
Because if it can eat 2/5's in 1/2 hours, then if it eats for 1 whole hour or 2/2's it will be able to eat 4/5's of it's own body weight.
Just imagine that one half hour is 1 and if you add two half hours together it makes one complete hour or 2/2. So just multiply it by 2 cause it was eating for two half hours.
[tex]\frac{2}{5} * 1=2/5\\\frac{2}{5} *2=4/5[/tex]
I'm stuck brainliest to the first CORRECT ANSWER
Answer:
7.74 feet (approximate is 8 feet)
Step-by-step explanation:
Radius of the circle is r = 6/2 = 3
Area of the circle is A = π x 3^2 = 9π = 28.26
Area of the square = 6^2 = 36
Remaining board area = 36 - 28.26 = 7.74
Hope this helps! <3
P = R - C solve for C
Answer:
C = R - P
Step-by-step explanation:
Step 1: Write equation
P = R - C
Step 2: Subtract R on both sides
P - R = -C
Step 3: Divide both sides by -1
-P + R = C
Step 4: Rewrite
C = R - P
Answer:
C=R-P
Step-by-step explanation:
First move your terms
C+P=R then move variable to the right-hand side
C=R-P is your solution
Solve for x: -1 < x + 3 < 5
Answer:
B -4<x<2
Step-by-step explanation:
[tex]-1+-3<x+3+-3<5+-3[/tex]
Add -3 to all parts
and u get [tex]-4<x<2[/tex]
Select the correct answer.
What is the justification for step 2 in the solution process?
12y − 40 − 4y = 6y − 18
Step 1: 8y − 40 = 6y − 18
Step 2: 2y − 40 = -18
A.
the subtraction property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the multiplication property of equality
Answer:A.
the subtraction property of equality
Step-by-step explanation:
Which of the following quadrilaterals are similar?
i see nothing what do you mean
Graph Y equals -5/6x -4
Step-by-step explanation:
y = -5/6x - 4
(0,-4) is the y intercept
the slope is -5/6, it descends 5 and goes 6 horizontally.
How much less is -2 than 3
Answer: 5
Step-by-step explanation: yes count up
the length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. Find the length and width of the rectangle
Answer:
Length=9, Width=6
Step-by-step explanation:
First, you need to find out which two number have a difference of 3. Then, you will find the numbers that add up to 30. You know that, if you add 7+7+10+10, it’ll be 34, so if you try 6+6+9+9, the answer will be 30. So your final answer is length=9, and width=6.
