The number of girls in a school is three times the number of boys. Express it in ratio.
Step-by-step explanation:
Let,
The number of boys be = x
So,
Number of the girls = 3 × x
= 3x
Therefore,
Ratio of number of girls to number of boys in school will be,
[tex] = \frac{number \: of \: girls \: in \: school}{number \: of \: boys \: in \: school} [/tex]
[Putting the number of boys and girls][tex] = \frac{3x}{x} [/tex]
[On cancelation of x][tex] = \frac{3}{1} [/tex]
[In ratio]= 3:1 (Ans)
Evaluate the expression.
2−[(2+10(−1)÷2)+1]
What is the value of the expression?
4
Step-by-step explanation:Review
To evaluate the expression, lets use BODMAS. Before we get to the solving part, lets revise BODMAS.
=> B in BODMAS is brackets. This means that whatever operations are inside a bracket, we must solve that first.
=> O in BODMAS is Orders. The O is used very rarely, there is a possibility that there is no powers, exponents.
=> D in BODMAS is Division. This means that whatever division is occurring in the expression must be done first (Unless if there is a bracket).
=> M in BODMAS is Multiplication. This means that whatever multiplication is occurring in the expression must be done next.
=> A in BODMAS is Addition. This means that whatever addition is occurring in the expression must be done then.
=> S in BODMAS is Subtraction. This means that whatever subtraction is occurring in the expression must be done last.
Solution:Now, lets get to the point. We need to find the expression '2−[(2+10(−1)÷2)+1]'. Using the help of BODMAS, we can solve it.
Step 1: Simplify the innermost bracket.
2 − [( 2 + 10(−1)÷2)+1]
=> 2-[(2-10÷2)+1]
Note: Since in the innermost bracket there is no operation, we can open the innermost bracket and get along with the second inner bracket.
Step 2: Simplify the second inner bracket.
=> 2 - [(2 - 10 ÷ 2) + 1]
=> 2 - [(2 - 5) + 1]
=> 2 - [(-3) + 1]
=> 2 - [-3 + 1]
Step 3: Simplify the third inner bracket.
=> 2 - [-3 + 1]
=> 2 + 2
Step 4: Solve.
=> 2 + 2
=> 4
Final Answer.
Therefore, 4 is our answer after working on this problem.
Answer:
4
Step-by-step explanation:the answer is 4 because you have to 20 2-2+10 and that is ten. then minus one is 9 then 9/2=3 and then 3+1 equals 4
What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required equation is ~
[tex] \boxed{ \sf{y = \frac{x}{2} + 2 }}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's find the slope of given line ~
[tex]y = - 2x + 5[/tex]comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)
let the slope of the required line be n
And, now since the required line Is perpendicular to the given line. the product of their slopes is -1
that is ~
[tex] - 2 \times n = - 1[/tex][tex]n = \dfrac{ - 1}{ - 2} [/tex][tex]n = \dfrac{1}{2} [/tex]slope of required line is ~ 1/2
now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~
that is ~
[tex]y - y_1 = m(x - x_ 1)[/tex]here, m = slope ~
[tex] y - 2 = \dfrac{1}{2} (x - 0)[/tex][tex]y - 2 = \dfrac{x}{2} [/tex][tex]y = \dfrac{x}{2} + 2[/tex]I hope it helps ~
Help me this question is so hard i fried up my brain yesterday working on it for so long!!!!
Hello there! (:
The answer is 9.
3^4=3*3*3*3 (81)
3^2=9
81:9=9
So the answer is 9.
Hope it helps! If you have any question or query, feel free to ask! (:
~An excited gal
[tex]SparklingFlower[/tex]
5 1/2= ? I need help plz
Answer:
If it's a mixed fraction, it is 11/2 but if it's multiplication, it's 2.5. I don't really know what you mean.
A number greater than 50 that has exactly 2 factors...
fata
Answer:
10 or 25
Step-by-step explanation:
25 is a factor of 50
100 POINTS IF YOU CAN SOLVE
solve using quadratic formula and include steps
2x^2 + 6x - 3 = 0
Answer:
x = (-3+√15)/2 or, x = (-3-√15)/2
Step-by-step explanation:
2x²+6x-3=0
Standard quadratic formula,
ax²+bx+c = 0
where,
x =(-b±[tex]\sqrt{b^{2}-4ac }[/tex])/2a ...............................(i)
Here,
a = 2
b = 6
c = -3
Putting the values in equation(i), we get,
x = (-6±[tex]\sqrt{6^{2} -4.2.(-3)}[/tex])/2.2
=(-6 ± √60)/4
=(-6 ± 2√15)/4
= (-3 ± √15)/2
Therefore, x = (-3+√15)/2 or x = (-3-√15)/2 :)
-
Tyrese says that 4(3x - 2) = 4x - 8.
Explain why his answer is not correct.
Leah is writing an equivalent equation which solves for y. What should be her next step?
3 x + 4 y = 8. 3 x minus 3 x + 4 y = 8 minus 3 x. 4 y = 8 minus 3 x.
Add 4y to both sides of the equation.
Subtract 4y from both sides of the equation.
Multiply both sides of the equation by 4.
Divide both sides of the equation by 4
Answer:
y= 2
Step-by-step explanation:
Evaluate - 4/8 ./. 8 2/3
Answer:
The answer is 13/3.
Step-by-step explanation:
8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.
A framer's market sells apples for $0.75 per pound and oranges for $0.89 per pound
Answer:
160
Step-by-step explanation:
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pasagot po please
answer it please
Answer:
24 I hope help you yieeeeeee
Answer:
ummmmmmmmmmm itsssssssss
Step-by-step explanation:
Subtract using the number line.
[tex] - 1 \frac{1}{3} - \frac{1}{6} [/tex]
Answer:
- 1 2/6 - 1/6
- 1 3/6
-1 1/2
Step-by-step explanation:
Step-by-step explanation:
[tex] = - 1 \frac{1}{3} - \frac{1}{6} [/tex]
[tex] = - 1 + ( - \frac{1}{3} - \frac{1}{6} )[/tex]
[tex] = - 1 + ( - \frac{2}{6} - \frac{1}{6} )[/tex]
[tex] = - 1 - \frac{3}{6} [/tex]
[tex] = - 1 \frac{1}{2} [/tex]
Option → B
what's the slope (3,-1) and (-2,5)
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 1 ) and (x₂, y₂ ) = (- 2, 5 )
m = [tex]\frac{5-(-1)}{-2-3}[/tex] = [tex]\frac{5+1}{-5}[/tex] = [tex]\frac{6}{-5}[/tex] = - [tex]\frac{6}{5}[/tex]
ticket to florida from a centain city costs 249 does the airplane collect if 385 tickests are sold
Answer:
Yes. $21, 165
Step-by-step explanation:
since 385 is greater than 249. as long as theres more than 249
249 x 85 = 21,165
Answer:
No because they only charge 249 unless they hack there bank account........anything is possible.
Step-by-step explanation:
HELP ASAP PLEASE 10 POINTS
What is the equation in point slope form of the line that passes through the point ( 2 , -4 ) and has a slope of 4?
Answer:
y + 4 = 4(x - 2)
Step-by-step explanation:
Point slope form: y - y1 = m(x - x1)
Where m = slope and (x1 , x2) = any given point.
We are given that the equation has a slope of 4 and passes through the point (2,-4)
So m = 4 and (x1,y2) = (2,-4)
We then plug in these values into the point slope form equation to get the answer.
y - y1 = m(x - x1)
m = 4 and (x1,y1) = (2,-4)
plug in values
y - (-4) = 4(x-2)
remove parenthesis on "-4" and change sign because the two negative signs cancel out and change into a positive sign
We end up with y + 4 = 4(x-2)
Determine if the ordered pairs (1. - 2) and (-4,2) are solutions of the following linear inequality in two variables.
-X<-y
.
Is the ordered pair (1. - 2) a solution of the linear inequality?
Is the ordered pair (-4,2) a solution of the linear inequality?
Answer:
First is, second is not.
Step-by-step explanation:
Start plugging them!
[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]
First one is true, so the pair is a solution.
Second is false, (4 is obviously bigger!) so it's not a solution.
If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay
Write 4 as a product of two primes.
Answer:
the four is product of -
2×2= 4
2 is a prime number.
it this only prime number which product is 4
Step-by-step explanation:
Please help very important!!!
Answer:
its letter A E D C
Step-by-step explanation:
correct me im wrong
Which expression is undefined?
Answer:
D
Reasoning:
Anything that is divided by zero is undefined.
I Need Help! but please take your time to get the correct answer
Sal can make 10 bracelets
Triangle R S T is shown. Angle R S T is a right angle. The length of R S is 10, the length of R T is 26, and the length of S T is 24. Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios. sin( ) = Twelve-thirteenths tan( ) = Five-twelfths
Answer:
sin(R) = 12/13tan(T) = 5/12Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and trig functions of the acute angles. It tells you ...
Sin = Opposite/Hypotenuse
sin(R) = 24/26 = 12/13
and ...
Tan = Opposite/Adjacent
tan(T) = 10/24 = 5/12
Answer: SIN = R and TAN = T
which rotation about its center will carry a regular hexagon onto itself
What is 8 times larger than 3
8 x 3 = 24 for should be 24
Only because 8 times larger than three seems like a multiplication problem..
I hope this helps if it is correct!
Answer:
(8+1) x 3 = 27
Step-by-step explanation:
this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.
A chef cooks 12 lbs of chicken for 36 people and 22 lbs of chicken for 66 people.
Answer:
One pound of chicken serves 3 people. Each person gets 1/3 pounds
12/36=1/3
22/66=1/3
Hope this helps.
Find the value of x so that the function has the given value.
Answer:
x = 10
Step-by-step explanation:
Given h(x) = 2x - 14 and h(x) = 6, then equating
2x - 14 = 6 ( add 14 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Find the perimeter of a rectangle whose length is 12 longer than its width
with an area of 45 square feet. To earn 5 points write the mathematical
sentence, the value of Length, width and perimeter
Answer:
l = 21
w = 9
P = 60
Step-by-step explanation:
l = 12 + w
A = l*w = 45
substitute l = 12 +w
45 = (12 + w) * w
45 = 12w + w^2
w^2 + 12w - 45 = 0
w^2 + 2*6*w +36 = 45 + 36 (added 36 on both sides 6^2)
(w + 6) ^2 = 45+36 = 81
w + 6 = +-9
As width cannot be negative w = 9
so l = 12 + 9
= 21
Perimeter = P = 2 (l + b)
= 2 ( 21 + 9)
= 2 (30)
= 60
In each bouquet of flowers, there are 2 roses and 5 white carnations. Complete the table to find how many roses and carnations there are in 4 bouquets of flowers.
Answer:
28roses 70carnations
Step-by-step explanation:
4+6+8+10=28
10+15+20+25=70
Maybe i think
What is the quotient of 3.55 x 106 and 7.1 x 102 expressed in scientific notation?
PLEASE HELP THIS IS FOR A TEST
Answer:
[tex]5\times10^3[/tex]
Step-by-step explanation:
[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]
Exponents are positive:
[tex]3.5.5.0.0.0.0. = 3550000[/tex]
[tex]7.1.0.=710[/tex]
[tex]3550000 \div 710 = 5000[/tex]
Convert back into scientific notation:
[tex]5000 = 5 \times 10^3[/tex]
[tex]= 5 \times10^3[/tex]
Hope this helps.
Answer: 5 x 10^3
Step-by-step explanation:
Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate would express the speed of Kendra's bike ride? (4 points)
Group of answer choices
2 blocks per minute
10 blocks per minute
3 blocks per minute
4 blocks per minute
Answer:
3 blocks a minute
Step-by-step explanation:
so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute