Answer:
46.15%
Step-by-step explanation:
# of girls + # of boys = total # of students
12+14=26
# of girls / total # of students = percentage of girls in the class
12÷26=0.461538
Move the decimal place over two spots or multiply by 100 for the percent
46.1538%
Round up if needed, in this case I rounded up to the hundredths place.
The product of three consecutive integers is 3360. What is the sum of the three integers?
Step-by-step explanation:
let the integer be x .
three consecutive integers : x, x+1, x+2.
according to the problem,.
Let the first of the 3 consecutive numbers be X.
Therefore the second number is (X + 1)
The third number is therefore (X + 2)
The product of the 3 consecutive numbers is:
( X )( X + 1 )( X + 2 ) = 3360 Equation( 1 )
Expanding Equation ( 1 ) gives
X³ + 3X² + 2X - 3360 = 0 Equation (2)
Solve Equation (2 ) which gives the following values for X
X1 = 14
X2 = - 8.5 + i (12.951834)
X3 = - 8.5 - i (12.951834).
the numbers are 14,15,16.
sum is 14+15+16 = 45.
hope this helps you.
Order the fractions from least to greatest .
The first one is
2/3
Answer:
2/9 < 11/18 < 2/3 < 5/6
Clarise has $290 in her checking account. She writes checks for $102 and $75 and then makes a deposit of $170. Find the amount left in her account.
Answer:
$283
Step-by-step explanation:
Amount of money left in Clarise's account
= $290 - $102 - $75 + $170
= $283
Answer:
283
Step-by-step explanation:
If 3 cot ∅ = 4 , then (3 sin ∅ + 4 cos ∅)/(3 sin ∅ - 4 cos ∅) ?
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\rm \longmapsto\:3cot\theta = 4[/tex]
[tex]\rm\implies \:cot\theta = \dfrac{4}{3} [/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } [/tex]
[tex]\rm \: = \: \dfrac{sin\theta \bigg[3 + 4\dfrac{cos\theta }{sin\theta } \bigg]}{sin\theta \bigg[3 - 4\dfrac{cos\theta }{sin\theta } \bigg]} [/tex]
[tex]\rm \: = \: \dfrac{3 + 4cot\theta }{3 - 4cot\theta } [/tex]
[tex]\rm \: = \: \dfrac{3 + 4 \times \dfrac{4}{3} }{3 - 4 \times \dfrac{4}{3} } [/tex]
[tex]\rm \: = \: \dfrac{3 + \dfrac{16}{3} }{3 - \dfrac{16}{3} } [/tex]
[tex]\rm \: = \: \dfrac{\dfrac{9 + 16}{3} }{ \dfrac{9 - 16}{3} } [/tex]
[tex]\rm \: = \: \dfrac{25}{ - 7} [/tex]
[tex]\rm \: = \: - \: \dfrac{25}{7} [/tex]
Hence,
[tex]\rm \longmapsto\:\boxed{\tt{ \dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } = - \frac{25}{7} \: }} \\ [/tex]
Additional Information:-
Relationship between sides and T ratios
sin θ = Opposite Side/Hypotenuse
cos θ = Adjacent Side/Hypotenuse
tan θ = Opposite Side/Adjacent Side
sec θ = Hypotenuse/Adjacent Side
cosec θ = Hypotenuse/Opposite Side
cot θ = Adjacent Side/Opposite Side
Reciprocal Identities
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
sin θ = 1/cosec θ
cos θ = 1/sec θ
tan θ = 1/cot θ
Co-function Identities
sin (90°−x) = cos x
cos (90°−x) = sin x
tan (90°−x) = cot x
cot (90°−x) = tan x
sec (90°−x) = cosec x
cosec (90°−x) = sec x
Fundamental Trigonometric Identities
sin²θ + cos²θ = 1
sec²θ - tan²θ = 1
cosec²θ - cot²θ = 1
2 4/6 divided by 1 3/7 i will give brainlist and give a step by step
ILL GIVE BRAINALIST IF YOU ANSWER CORRECTLY
A meeting takes place between a diplomat
and fourteen government officials.
However, four of the officials are actually
spies. If the diplomat gives secret
information to ten of the attendees at
random, what is the probability that no
secret information was given to the spies?
Answer:
The number of ways to choose 10 people out of 14 people is given by 14C10 which is read "14 choose 10"
Only 1 of these combinations will result in no information being given to any of the 4 spies.
Can you figure out the probability from these 2 facts?
Step-by-step explanation:
100 Points And Brainlyest!! PLZ HELP
Answer:
741/10000
Step-by-step explanation:
f(x) =
- 2x + 2, x < 3
-1, x > 3
Evaluate the function when x = 5.
f(5)
---
Evaluate the function when x = 3.
=
f(3) =
Answer:
f(5)=14
f(3)=122
Step-by-step explanation:
I'm not very good at algebra I need help with this lol
Answer:
Answer is 33
Step-by-step explanation:
If x equals 3, then the equation simplifies to 6 squared - (9/3)
9 divided by 3 is 3, then 6 squared is 36.
36-3 = 33. Hope this helps!
vă rog am nevoie de ajutor la ex 6 dacă il faceți dau corana ex este de clasa a 6
Answer:
sry but i can't help you with it bcz i don't understand spanish can u write it in clear english
Sry
Can someone please help me?
Answer:
x ≈ 50.8°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JK}{IK}[/tex] = [tex]\frac{6.2}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{6.2}{8}[/tex] ) ≈ 50.8° ( to the nearest tenth )
this is due at midnight and I have no idea how to do it
Answer:
I personally have no idea how to do this but quizlet might have the answer
Sorry hope this helps though
Step-by-step explanation:
Y is 4 less than the product of 3 x
Answer:
y=4-3x
Step-by-step explanation:
Hope this helps!!!
Which list shows the fractions and decimals in order from least to greatest?
where's the list at ?
Answer:
Step-by-step explanation:
where is the list to give you the answer
Line B passes through the points (5, 10) and (0,0). What is the slope of the line
perpendicular to line B?
O 1
2
مسیر
1
2
o –
O2
None of the other answers are correct
1/2 DID THE TEST
Step-by-step explanation:
i need it asap answer
Answer:
D. As the number of students in a class increases, the average rating score of the class decreases.
Hope this helps!
Fine the value of n
a.3 over 15 =n over 15
b. 20 over 45 = n over 9
Answer:
a) n = 3
b) n = 4
Step-by-step explanation:
a) Start off by multiplying each side by 15
[tex]\frac{15n}{15}=\frac{3(15)}{15}[/tex]
Then simplify the equation
[tex]n=3[/tex]
b) Start off by canceling the common factor of 5
[tex]\frac{n}{9} =\frac{4}{9}[/tex]
Then simplify the equation
[tex]n=4[/tex]
really need help with it to solve 34 and 35
Answer:
69
Step-by-step explanation:
funny number funny number
X+3(2×-4)=-19
help please
Answer:
x = 5
Step-by-step explanation:
X+3(2×-4)=-19
First, solve the brackets.x + 3(-8) = -19
Now, multiply 3(-8).x - 24 = -19
Add 24 to both sides of the equation.x = 5
Triangle DEF is translated using the rule (x, y) → (x + 4, y - 5).
Use words to describe the distance and direction Triangle DEF is translated
If triangle HBN is congruent to triangle LYR, find the value of x.
Answer:
Step-by-step explanation:
Ti piacciono i banane scimmia
−7x−6y=2
7x+4y=−6
solve for x and y
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=-\frac{2+6y}{7}[/tex]
[tex]\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-2-2y=-6\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=-\frac{2+6y}{7}[/tex]
[tex]\mathrm{Substitute\:}y=2[/tex]
[tex]x=-\frac{2+6\cdot \:2}{7}\\\\x=-2[/tex]
What is 3(xy) = 3(xy)?
Answer:
it is an equation that is always valid
Step-by-step explanation:
3(xy) = 3(xy)
3(xy)-(3xy) = 0
0 = 0
A contractor purchases 5 dozen pairs of padded work gloves for $70.80. she incorrectly calculates the unit price as $14.16 per pair for the expense report. What is the correct unit prise? What is the error?
Answer:
1 dozen = 12 units
7 dozen = 12 × 7 = 84 units
Correct unit price = 103.32 ÷ 84 = $1.23
The contractor's unit price incorrect because he did 103.32 ÷ 7 dozen.
The price he calculated is for the price for 1 dozen, not 1 unit
Step-by-step explanation:
find the volume of the solid
Answer:
The volume of the solid is 24 in^3
Step-by-step explanation:
The most general form of the equation of the volume of a pyramid is
V = (1/3)(base area)(height)
In this case,
V = (1/3)(18 in^2)(4 in) = 24 in^3
will mark brainlist!!!!!!!!!!
what is 4+m/5=2
Answer:
-10
Step-by-step explanation:
Subtract 4 from both sides
m/5 = -2
Multiply by 5
m = -10
Step-by-step explanation:
4+m/5 = 2
4+m =2*5
4+m = 10
m= 10 -4
='6
What is −3/8÷7/12? i really need to know pls
Answer:
Step-by-step explanation:
0.6432
please explain your answer
Answer:
51
Step-by-step explanation:
11+(-7)^2-9 - original
11+49-9 - square the -7, since its in brackets the negative applies too and a negative x a negative = positive, so it ends up as 7x7+49
60-9 - add both positives 11+49=60
51 - subtract 9 from 60, 60-9=51
Evaluate each of the expressions below using the given value.
[tex]\frac{2a}{3} +13, \:a=15[/tex]
Step 1: Substitute [tex]a[/tex] for 15
[tex]\frac{2(15)}{3} +13[/tex]
Step 2: Solve
Multiply 2 to 1515 × 2 = 30
[tex]\frac{30}{3} +13[/tex]
Divide 30 by 330 ÷ 3 = 10
[tex]10 +13[/tex]
Add 10 to 1310 + 13 = 23
The evaluation of the expression is 23.