Answer:
There are 11 Girls for every 12 Boys in the sixth-grade class
Step-by-step explanation:
For this problem, you want to take the original rate which is 88 girls / 96 boys.
Once you have that number, you want to divide both sides by 8.
88/96 = 11/12
The correct option is D. 11 girls for every 12 boys.
We need to determine the ratio of the number of girls to the number of boys.
Given:
Number of girls = 88
Number of boys = 96
The ratio of girls to boys can be represented as "girls : boys."
To simplify the ratio, we can divide both the number of girls and the number of boys by their greatest common divisor (GCD). In this case, the GCD of 88 and 96 is 8.
Dividing both numbers by 8, we get:
Number of girls (after dividing) = 88 ÷ 8 = 11
Number of boys (after dividing) = 96 ÷ 8 = 12
So, the simplified ratio of girls to boys is 11 : 12.
Now, let's check which option matches the simplified ratio:
A. 88 girls for every 96 boys (Does not match)
B. 1 girl for every 1.09 boys (Does not match)
C. 44 girls for every 48 boys (Does not match)
D. 11 girls for every 12 boys (Matches)
The correct option is D. 11 girls for every 12 boys.
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(p^2-7pq-q^2)+(-3p^2-2pq+7q^2)
Answer:
-2p² - 9pq + 6q²
Step-by-step explanation:
Add the like terms
p² + - 3p² = -2p²
-7pq + - 2pq = -9pq
-q² + 7q² = 6q²
What is the decimal multiplier to increase by 81%
Answer:
multiply by 1.81
Step-by-step explanation:
Jayden deposited $7100 in a savings account with simple interest. Three months later, the account held $7,259.75. what was the interest rate?
Answer:
Step-by-step explanation:
7259.75 - 7100 = 159.75
he earned 159.75 in interest
159.75/ 7100= .0225
and if you convert that to percentages then its 2.25%
y=-4/7x-4
Can someone help me please
3x + 7y = 2 6x-5y=4 solve this by elimination method
Answer:
x=2/3, y=0
Step-by-step explanation:
3x + 7y = 2,
6x - 5y = 4
Make the x coefficient the same in both equations.
3x + 7y = 2
(whole thing multiplied by 2)
6x + 14y = 4
Now subtract the equations to eliminate the x variable.
6x + 14y = 4
-(6x - 5y = 4)
19y = 0
y = 0
Substitute 0 for y in one of the equations.
3x + 7(0) = 2
3x = 2
x = 2/3
Answer:
well your equation has 2 equal signs in it but imma take a guess and say the first one is supposed to be a plus sign so
Step-by-step explanation:
here's ur answer
x= −2 /29y+4/29
Spot fetched 12 sticks and some rocks when he played outside how many object did he fetch in all
When he played outside how many object did he fetch in all is 12+r
What is Expression?An expression is combination of variables, numbers and operators.
Given that Spot fetched 12 sticks and some rocks
Let the rocks be denoted as r
We need to check when he played outside how many object did he fetch in all
The number of sticks are 12
The number of rocks are r
They are asking for total which means we have to sum the number of sticks and number of rocks
12+r
Hence, when he played outside how many object did he fetch in all is 12+r
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Larry Monroe
The Derivative-Equation of tangent line
Jan 01, 10:09:06 PM
?
Given the function f(x) = 324 – 2,5, determine the derivative of f at x = 1 using
the limit shown below. You do not have to simplify your answer.
Submit Answer
Answer: lim
h-0
T
attempt 1 out of 2
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Step-by-step explanation:
Using the limit definition of a derivative, we have
[tex]\frac{f(1+h)-f(1)}{h} = \frac{(3(1+h)^{4} - 1^{5}) - (3*1^{4} - 1^{5})}{h}[/tex]
What is f(3) if f(x)= -4x+1
Answer:
I'm pretty sure its -11
Answer:
f(3) = -11
Step-by-step explanation:
Substitute 3 in wherever you see an x:
f(3) = -4 * 3 + 1
f(3) = -12 + 1
f(3) = -11
if the cost of a book is RS.480, find the cost of 4 books
Step-by-step explanation:
for 1 book=480
for 4 books= 480×4
=1920
Answer:
If one book costs 480, then four books will cost the quadruplee. To calculate it, we can multiply by 4 the price of one book:
480 * 4 = 1920
So we know it wouldd cost 1920 rp to buy four.
Solve the equation.
-9x + 1=-X+17
Ox=-8
Ox=-2
Ox=2
Ox=8
Answer:
x = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
-9x + 1 = -x + 17
Step 2: Solve for x
Add 9x on both sides: 1 = 8x + 17Subtract 17 on both sides: -16 = 8xDivide 8 on both sides: -2 = xRewrite: x = -2in an 7th grade class with 80 people, seven tenths of the students wore shorts, how many students wore shorts
Answer:
56
Step-by-step explanation:
80 x (7 / 10) = 56
A slow boat to china travels at a constant speed of 17.25 miles per hour for 200 hours. how far was the voyage?
Answer:
3450 miles
Step-by-step explanation:
Multiply the number 17.25 by 200 since the boat is traveling for 200 hours and each hour is 17.25 miles to get 3450 miles which is your answer.
Answer:
[tex]\boxed {\boxed {\sf 3,450 \ miles}}[/tex]
Step-by-step explanation:
Distance can be found by multiply the speed by the time.
[tex]d=st[/tex]
Where d is the distance, s is the speed, and t is the time.
1. Define Variables
The speed is 17.25 miles per hour and the time is 200 hours.
[tex]s= 17.25 \ mi/hr[/tex]
[tex]t= 200 \ hr[/tex]
2. Calculate Speed
Substitute the values into the formula.
[tex]d=17.25 \ mi/hr * 200 \ hr[/tex]
Multiply. The hours (hr) will cancel each other out and leave miles as the units.
[tex]d=17.25 \ mi *200\\[/tex]
[tex]d=3450 \ mi[/tex]
The voyage was 3,450 miles
Write the expression as a single natural logarithm. 3 In m + 4 Inn
Answer:
[tex] ln( {m}^{3} {n}^{4} )[/tex]
Step-by-step explanation:
[tex] \alpha ln(x) = ln( {x}^{ \alpha } ) [/tex]
[tex] ln( {m}^{3} ) + ln( {n}^{4} ) [/tex]
[tex] ln(a) + ln(b) = ln(ab) [/tex]
[tex] ln( {m}^{3} {n}^{4} ) [/tex]
Answer:
Step-by-step explanation:
ln(m^3*n^4)
We should check this out to see if it works.
Givens
m = 2
n = 3
3 ln(2) = 3*0.6931 = 2.0794
4*ln(3) = 4*1.0986 = 4.3944
Add 6.4738
Check Answer
ln(2^3*3^4)
ln(8*81)
ln(648)
6.4738 Just as it should be
Which of these sets have the integers in order
from least to greatest?
-42, -32, -39, -10
-42, -39, -32,-10
-10,-32, -39,-42
-10, -39, -32, -42
Answer:
-10,-32, -39,-42
Step-by-step explanation:
-10,-32, -39,-42
63.7 x 10
94.6 x 10^3
0.365 x 10^4
Please, Its due soon! WILL GIVE BRAINLIEST IF CORRECT
Answer:
Haven't done this in years, but I think that's correct.
Step-by-step explanation:
63.7 x 10^1 = 637
94.6 x 10^3 = 94600
0.365 x 10^4 = 3650
Answer:
The answer to the first question is 637
The answer to the second question is 94600
The answer to the third question is 3650
Step-by-step explanation:
63.7 x 10 = 637
94.6 x 10^3 = 94.6 x 1000 = 94600
0.365 x 10^4 = 0.365 x 10000 = 3650
If r/s = 22 and the value of r is 242, what is the value of s
Answer:
s = 11
Step-by-step explanation:
Given
[tex]\frac{r}{s}[/tex] = 22 ← substitute r = 242
[tex]\frac{242}{s}[/tex] = 22 ( multiply both sides by s )
242 = 22s ( divide both sides by 22 )
11 = s
Answer:
S would equal 11
Step-by-step explanation:
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number greater than 4?
Write your answer as a fraction in simplest form.
Answer:
2/3
Step-by-step explanation:
it's 8/12 because there are 8 numbers above 4, you just simplify down to 2/3
Select all the expressions which are equivalent to –43p – 25. –43p + 25 –25 – 43p 43p – 25 –43p + (–25) 25 + 43p
Answer:
the answer is -43p + ( 25 )
Step-by-step explanation:
I don’t know how to do number 9. Can some one please help? URGENT.
Last month John had $240 in his savings account. He got money for his birthday and now he has $320. What is the percent of change for his account?
Answer:
Should be a 33.33% increase
Step-by-step explanation:
320 divided by 240 to get 1.33, anything above 1 is increase, so its a 33% increase.
How can the standard form of a linear function be used to model
real-world scenarios?
Let's look at an example.
-----------------------------------------
Problem:
At a high school play, tickets are sold at two different prices: student prices and parent prices. The student price is $2 while the parent prices is $3. On one night, 145 tickets were purchased and the total revenue was $335.
How many student tickets were purchased? How many parent tickets were purchased?
------------------------------------------
Solution:
Let x be the number of student tickets sold and y be the number of parent tickets sold.
We know that 145 people attended so x+y = 145 is the first equation we can set up. This equation is in standard form since standard form is Ax+By = C. Here we have A = 1, B = 1, C = 145.
The second equation we can form is 2x+3y = 335. This is also in standard form. This time we have A = 2, B = 3, C = 335.
The 2x is the amount of money made from just the students only. The 3y is from the parents only. The expression 2x+3y is the total from both groups. This total is set equal to 335 as this is the amount of money pulled in.
After forming both equations, we can write this system of equations
[tex]\begin{cases}x+y = 145\\2x+3y = 335\end{cases}[/tex]
To solve this system, we could isolate y in the first equation to get y = -x+145. Then plug this into the second equation to solve for x
2x+3y = 335
2x+3(-x+145) = 335
2x-3x+435 = 335
-x = 335-435
-x = -100
x = 100 .... number of student tickets bought
Use this to find y
y = -x+145
y = -100+145
y = 45 .... number of parent tickets bought
We can see that x+y = 100+45 = 145
And also 2x+3y = 2*100+3*45 = 200+135 = 335
These two facts help confirm we have the correct x,y values.
PLEASE HELP!!! Find f(-3.5) y= 1/5x + 7x2 -11
Answer:
74.05
Step-by-step explanation:
1st step: plug -3.5 in for all values of x
y = 1/5(-3.5) + 7(-3.5)^2 - 11
2nd step: follow the order of operations by doing (-3.5)^2 to get 12.25
y = 1/5(-3.5) + 7(12.25) -11
3rd step: multiply 1/5 and -3.5 to get -0.7
y = -0.7 + 7(12.25) -11
4th step: multiply 7 and 12.25 to get 85.75
y = -0.7 + 85.75 - 11
Lastly, now that all operations are either addition or subtraction, work left to right
y = 85.05 - 11.00
y = 74.05
simplify
[tex] \sqrt{ - 3} \sqrt{ - 12} [/tex]
please help me I've been stuck on this for ever
Answer:
36
Step-by-step explanation:
the square root of any negative value results in an imaginary number, 'i'
so, [tex]\sqrt{-3}[/tex] = 3i and [tex]\sqrt{-12}[/tex] is 12i
'i' is equal to -1
3(-1) x 12(-1) = 36
what is the answer to this question 7.2 x 10^-8
Answer:
7.2e-8
Step-by-step explanation:
Is anyone able to answer this ?
Answer:
m = -60
b = 300
y = -60x + 300
Step-by-step explanation:
(0,300) and (5,0)
m = y2 - y1/x2 - x1
m = 0 - 300/5 - 0
m = -300/5
m = -60/1
m = -60
y-intercept = b = 300
slope intercept form: y = mx + b
y = mx + b
y = -60x + 300
Answer:
m = -60
b = 300
y = -60x + 300
Step-by-step explanation:
(0,300) and (5,0)
m = y2 - y1/x2 - x1
m = 0 - 300/5 - 0
m = -300/5
m = -60/1
m = -60
y-intercept = b = 300
slope intercept form: y = mx + b
y = mx + b
y = -60x + 300
Lucy is a waitress. At the end of the night she must give 12% of her tips to the cleaning crew. How much does she go home with if she made $320 in tips last night?
Answer:
It would be $281.60
Step-by-step explanation:
1) Find the slope of the line
that passes through the
points in the table.
72 equals 83 decreased by a number
Answer:
83 - x = 72
x= 11 (if you need it)
Step-by-step explanation:
You wanted an expression, correct?
I got three answers for alot points ok this is the first question what is : 1/2 + 3/6 =
next question: 1/3 - 1/4 =
last question: 5 2/3 - 2 1/2
Answer:
1. 1
2. 1/12
3. 3 1/6
Step-by-step explanation:
Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.
Solution for #2. This is just like #1. First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.
Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.
HELP ME ASAP PLEASE!!
Answer:
x = 30
y = 7
Step-by-step explanation:
The triangle given is an equilateral triangle.
Equilateral Triangle
A triangle that has same length of all sides of triangle. They have same congruent internal angles as well.
So, If length of one side = 7
Length of other two sides will also be same i,e 7
Length of 2nd side = 7
Length of 3rd side = 7
Now, finding angles and value of x
The one angle is 2x, so the other two angles will be also 2x (because all angles of equilateral triangle are same)
We know that sum of all sides of angles of triagle = 180
We can write: [tex]2x+2x+2x=180[/tex]
Solving the equation to find x
[tex]2x+2x+2x=180\\6x=180\\x=180/6\\x=30[/tex]
So, x = 30
Since y is not given in picture, I think it is length of other sides i.e y = 7