Answer:
27
Step-by-step explanation:
Girls = boys - 3
girls / boys = 4/5
Substitute (boys - 3) in for girls
boys - 3 / boys = 4/5 Cross multiply
5(boys - 3) = 4* boys Remove the brackets
5boys - 15 = 4boys Subtract 5 boys from both sides.
-5boys -5boys
- 15 = - boys Multiply both sides by - 1
15 = boys
Girls = boys - 3
girls = 15 - 3
girls = 12
Total 15 + 12
total = 27
Please help, im confused ;w;
Answer:
[tex]x=7\text{ and } m\angle KLM = 34^\circ[/tex]
Step-by-step explanation:
We are given ethat KM and JN are parallel.
And we want to find the value of x.
Notice that ∠JKM and ∠LKM form a linear pair. Linear pairs total 180°. Therefore:
[tex]m\angle JKM + m\angle LKM = 180[/tex]
We know that ∠JKM measures (14x + 8). Substitute:
[tex](14x+8)+m\angle LKM =180[/tex]
Solve for ∠LKM:
[tex]m\angle LKM = 172-14x[/tex]
Next, since KM and JN are parallel, by the Corresponding Angles Theorem:
[tex]\angle JNM \cong \angle KML[/tex]
Since we know that ∠JNM measure (10x + 2), we can conclude that:
[tex]m\angle KML = 10x+2[/tex]
Next, recall that the three interior angles of a triangle must total 180°. Therefore:
[tex]m\angle KLM + m\angle LKM + m\angle KML = 180[/tex]
Substitute:
[tex](5x-1)+(172-14x)+(10x+2)=180[/tex]
Solve for x. Rewrite:
[tex](5x-14x+10x)+(-1+172+2)=180[/tex]
Combine like terms:
[tex](1x)+(173)=180[/tex]
Therefore:
[tex]x=7[/tex]
To find ∠KLM, substitute in 7 for x and evaluate. So:
[tex]m\angle KLM = 5(7) - 1 =34^\circ[/tex]
HELP ME !
Please!
Which of the following tables represents a function?
What is the radius of the circle: (x+1)^2+(y-12)^2=25
1. (-1, 12)
2. 5
3. 25
4. (1, -12)
Answer:
radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here r² = 25 ( take the square root of both sides )
r = [tex]\sqrt{25}[/tex] = 5
The difference of a number and seven is twelve
Write an equation to represent the sentence
Answer:19 You can use addition 12+7=19 19-7=12
the vector a,b and c are given as a=2i+3j-4k. b =5i+3j+7k. c =6i+2j-k
find 1)a-2b+4c
2)5a+2b-c
Help pleaseeeee
Asappp
Answer:
Rs. 2400
Step-by-step explanation:
.25(x -.1x) = 540
(x -.1x) = 2160
(.9x) = 2160
x = 2400
Step-by-step explanation:
hope this helps you 830.77
Easy Question Will give brainliest to correct answer!!!!!
How many months have 28 days?
Answer:
1
Step-by-step explanation:
February is the only month that has 28 days
Answer:
[tex]12 \: months \: have \: 28 \: days \\ thank \: you[/tex]
f(x)=-x^2+3 find f(-2)
Answer:
-1
Step-by-step explanation:
Replace x with -2
f(-2)=-(-2)^2+3
Solve.
f(-2)=-4+3
=-1
I hope this helps!
Answer:
-1
Step-by-step explanation:
When you have f(x) =- x^2 +3 and want to find f(-2), it is basically asking you to calculate the function where x is -2. So if you plug in -2 for x you get:
-(-2)^2 + 3= f(-2)
-4+3= f(-2)
-1=f(-2)
Find x in the kite below
Answer:
5
Step-by-step explanation:
The given is 3-4-5 special triangle so the missing side represented with x is 5
Help
Find the volume of this cone.
Use 3 for TT.
Answer:
[tex]180ft^{3}[/tex]
Step-by-step explanation:
Volume of a cone:
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
Take [tex]\pi[/tex] as 3, as mentioned in the question
'r' is 'radius' ⇒ {diameter is given so divide by 2: 12/2 = 6}
'h' is 'height'
[tex]V=(3)(6)^{2} (\frac{5}{3} )[/tex]
[tex]V=(3)(36)(\frac{5}{3} )[/tex]
[tex]V=108(\frac{5}{3} )[/tex]
{multiply 108 with 5 and then divide the answer by 3}
[tex]V=108[/tex] × [tex]5[/tex]
[tex]V=540[/tex]
[tex]V=540/3[/tex]
[tex]V=180ft^{3}[/tex]
Find the area of the trapezoid
Answer:
112
Step-by-step explanation:
add both bases the multiply by the height
Answer:
112
13 + 15
= 28 ÷ 2
= 14 × 8
= 112
Multiply and reduce to lowest form and convert into a mixed fraction:
a) 15 x 3/5
b) 4 x 1/3
c) 5/2 x 6
Answer:
a) 9
b)
[tex]1 \frac{1}{3} [/tex]
c) 15
Step-by-step explanation:
The first step is to cancel out the fraction's denominator if possible.
a)
[tex]15 \times \frac{3}{5} [/tex]
We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is
[tex]3 \times \frac{3}{1} [/tex]
Since 3/1 is 3, we can now simplify the values:
[tex]3 \times 3 = 9[/tex]
b)
[tex]4 \times \frac{1}{3} [/tex]
4 is indivisible by three and gives a non-whole value. This is not what we need here.
Instead we should do the division rule and find the remainder.
In this case, 4 divided by 3 gives 1 with a remainder of 1.
[tex]4 \times \frac{1}{3} = \frac{4}{3} [/tex]
After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:
[tex] \frac{4}{3} = 1r1[/tex]
The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:
[tex] \frac{4}{3} = 1 + \frac{1}{3} = 1 \frac{1}{3} [/tex]
c)
[tex] \frac{5}{2} \times 6[/tex]
For this part, we can cancel out 2 since 6 is divisible by 2. This gives:
[tex] \frac{5}{1} \times 3[/tex]
Since 5/1 is 5,
we can now solve part c:
[tex]5 \times 3 = 15[/tex]
A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide.Find it's perimeter
Georgia bought a pair of flip-flops that cost $3.46 and a pair of slip-on shoes that cost $9.87.
She paid a total of $ for the two pairs of shoes.
Answer: The cost for the two pairs of shoes is $13.33
Step-by-step explanation:
Since we have given that
Cost of pair of flip flops = $3.46
Cost of pair of slip on shoes = $9.87
We need to find the cost of two pairs of shoes.
Cost of two pairs of shoes = Cost of pair of flip flops + Cost of pair of slip on shoes
[tex]cost=3.46+9.87=13.33[/tex]
the cost for the two pairs of shoes is $13.33.
PLEASE HELP!!! I dont understand :(
Hello,
In all reply x²'s coefficient is 1.
The polynom will be (x+i)(x-5)= x²+ix -5x-5i
Answer C
What is the domain of f(x)=(1/4)^
c ans
...................
I NEED HELP SOMEONE HELP ME OUTTTT!!!
Answer:
Tan A = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] = .6
Step-by-step explanation:
SOH CAH TOA
Sin Ф = [tex]\frac{O}{H}[/tex]
Cos Ф = [tex]\frac{A}{H}[/tex]
Tan Ф = [tex]\frac{O}{A}[/tex]
Shelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor Roll - Not on Honor Role - Total
Received Math Class Requested 125 215 340
Didn't Get Math Class Requested 80 80 160
Total 205 295 500
Help Shelly determine if all students at her school have an equal opportunity to get into the math class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answer:
I believe this would be the answer?
Step-by-step explanation:
{2, 3, 4, 6, 8, 9, 10, 12}
Seriouslyy need help on this real answers only!
Answer:
C
Step-by-step explanation:
h(8) is given so D can't be true and A and B do not follow the domain and range restrictions
MNPQ is a rectangle. Find the measure of <1 and <2
Answer: ∠1 = 48°, ∠2 = 42°
Step-by-step explanation:
Because it's a rectangle, NP and MQ are parallel lines. ∠2 and (3x)° are alternate interior angles and are therefore equal. NM and PQ are also parallel lines. ∠1 is equal to (2x + 20)° because they're also alternate interior angles.∠M = 90° = ∠1 + (3x)° = (2x + 20)° + (3x)°
2x + 20 + 3x = 90
2x + 3x = 90 - 20
5x = 70
x = 14
Because ∠1 = (2x + 20)°,∠1 = 2x + 20 = 2(14) + 20 = 28 + 20 = 48°
Because ∠2 = (3x)°,∠2 = 3x = 3(14) = 42°
(I hope this is right :\)
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is continuous at a point, then it is differentiable at that point.
Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
the function must have one and only one tangent at x=cthe fore mentioned tangent cannot be a vertical line.And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?
Hello,
Using Thalès 's theorem:
Let's h the height of the monument.
[tex]\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}[/tex]
If you don't know what is the Thalès's theorem,
imagine that the similar triangles.
Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.
Answer:
34 is greater than or equal to z which is greater than or equal to 30
Solve........................
Hello,
here is the picture:
Slope (PR):
[tex]m=\dfrac{2-4}{6-2} =-\dfrac{1}{2} \\Slope\ of\ the\ perpendicular: -\dfrac{1}{\dfrac{-1}{2} } =2\\\\perpendicular\ is\ passing\ trought\ M(4,3): y-3=2(x-4)\\y=2x-5\\If\ y=0\ then\ x= \dfrac{5}{2} \\Q=( \dfrac{5}{2},0)\\[/tex]
(2.5, 1.3, 2.2, x), mean = 1.8
Answer:
please mark me a brainliest
[tex] \frac{2.5 + 1.3 + 2.2 + x}{4} = 1.8[/tex]
[tex] \frac{6 + x}{4} = 1.8[/tex]
6 + X = 1.8 * 4
6 + X = 7.2
X = 7.2 - 6
X = 1.2
So therefore the value of X is 1.2
Step-by-step explanation:
Have a good day
Have a good day And I hope this will help
1) Give 5 examples of a difference of two perfect squares
2) Give the factors of your examples
3) What do you call the factors of a difference of two perfect squares?
please help me
ᴀɴsᴡᴇʀ:
1.Example, x²-25 can be factored as (x+5)(x-5).
2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!
☞︎︎︎ᴄᴀʀʀʏ ᴏɴ ʟᴇᴀʀɴɪɴɢ☜︎︎︎
Glass bottles are worth 10 cents and aluminum cans are worth 5 cents. If Joe returns 12 glass bottles and 48 aluminum cans, how much money will he receive?
$1.20
$3.60
$2.40
$4.80
Answer: The answer is 3.60 dollars.
Step-by-step explanation:
1 bottle = 10 cents
12 bottles = 120 cents
100 cents = 1 dollar
1 cent = 1/100
120 = 1/100 * 120 = 1.2 dollars
now
1 aluminium can = 5 cents
48 cans = 5*48 = 240 cents
240 cents = 1/100 * 240 = 2.4 dollars
so total = (1.2+2.4) dollars
= 3.6 dollars
Is (-2,-4) a solution of the graphed inequality?
Choose 1 answer:
Yes
No
Answer:
Yes
General Formulas and Concepts:
Algebra I
Reading a coordinate graphCoordinates (x, y)Solving inequalitiesStep-by-step explanation:
When we plot (-2, -4) onto the graph, we can envision that the point is within the shaded region of the graphed line.
∴ (-2, -4) would be a solution.
2 fewer than the quotient of a and 5
2 fewer than the quotient of a and 5
(x/5)-2
#CarryOnLearningCosella is conducting an experiment where she assesses how quickly teenagers can run a 100-meter race after consuming specific amounts of caffeine. She divides her sample up into three groups. Group 1 receives a glass of water with no caffeine added. Group 2 receives a glass of water with an amount of caffeine equivalent to that in one cup of coffee. Group 3 receives a glass of water with an amount of caffeine equivalent to that in two cups of coffee. Each participant is then timed as they run the course. In this study, the dependent variable is
Answer:
The dependent variable is the time taken to run 100 metres
Step-by-step explanation:
A dependent variable is simply one that is being measured or sometimes tested in an experiment.
Now, in this case, what is being determined is the time each group of participants will take to run a 100-meter race.
Thus, the dependent variable is the time each group of participants will take to run a 100-meter race.