a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many does doe he school have
a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many pupils does the school have ?
Solution :Let the number of boys be x
Data :
Total pupils = 2500
Absent no. of boys and girls = 52 and 1/9
Now,
First of all we need to get the number of girls then add it with the no. of boys absent and then subtract the whole from 2500 to get the required answer.Remaining no of pupils = 2500 - 52 ➝ 2448
Hence, the no. of girls absent = 1/9 of 2448 ➝ 272
Therefore,
Total no. of pupils absent = 52 + 272 ➝ 324
No. of pupils present = 2500 - 324 ➝ 2176
Henceforth, 2176 pupils are present
One of the angles of a triangle is 110° and the other two angles are equal.What is the measure of each of these equal angles?
Answer:
x = 35
Step-by-step explanation:
Let x be the one of the other angles
X is also the third angle since we know they are equal
The sum of the angles of a triangle is 180
110+x+x = 180
110 +2x= 180
2x = 180-110
2x= 70
Divide by 2
2x/2 = 70/2
x = 35
Answer:
[tex]x = 35 \degree[/tex]
Step-by-step explanation:
Let the unknown angle be x
Unknown Angles are equal to each other so,
[tex]x + x + 110 = 180[/tex]
sum of the interior angles in a triangle is 180°
[tex]2x + 110 = 180 \\ 2x = 180 - 110 \\ 2x = 70 \\ \frac{2x}{2} = \frac{70}{2} \\ x = 35 \degree[/tex]
Write the following statement in equation form using variables x and y. "Sum of two numbers is 15 and difference is 11.
Answer:
see explanation
Step-by-step explanation:
Using x and y to represent the 2 numbers with x > y , then
x + y = 15 → (1)
x - y = 11 → (2)
Adding the 2 equations term by term to eliminate y
2x = 26 ( divide both sides by 2 )
x = 13
Substitute x = 13 into (1)
13 + y = 15 ( subtract 13 from both sides )
y = 2
The 2 numbers are 13 and 2
PLEASE HELP ASAP :))
Sophie tried to evaluate an expression. Here is her work:
92 : 32.2 + 7.6
= 81 - 9.2 + 7.6
Step 1
= 9.2 + 7.6
Step 2
= 18 + 7.6
Step 3
= 25.7
Step 4
= 175
Step 5
Is Sophie's work correct?
Yes, Sophie's work is correct
No, Sophie made a mistake going from Step 1 to Step 2
O No, Sophie made a mistake going from Step 3 to Step 4.
No, Sophie made a mistake going from Step 2 to Step 3
x-1/x > 1/2
(x>0;x>1)
Step-by-step explanation:
its on the picture.........
Determine algebraically whether the function is even, odd, or neither even nor odd.
A. Neither
B. Even
C. Odd
9514 1404 393
Answer:
B. even
Step-by-step explanation:
Functions are classed according to what happens when x is replaced by -x.
f(-x) = f(x) . . . even
f(-x) = -f(x) . . . odd
__
Here, we have ...
f(-x) = 2/(-x)^2 = 2/x^2 = f(x) . . . . an even function
Need helppppp asappppp
it´s a polygon. letter c (decagon) should be right
hope it helps :)
Help anyone can help me do this question,I will mark brainlest.
Answer:
8 cm
Step-by-step explanation:
AM = MC = BM = (1/2) BC => AM , MC , BM = 5, => BC = 10apply pytago => (AC ^ 2) + (AB ^ 2) = (BC ^2)AB = [tex]\sqrt{BC ^2 - AC ^2}[/tex] = [tex]\sqrt{10 ^2 - 6 ^ 2}[/tex] = 8 (cm)Answer:
4
Step-by-step explanation:
So first let's write the information we got
Angle BAC = 90 degrees
Midpoint of BC = M
AC = 6cm
Am= 5cm
Also I found MC = BM, since it has a line that represents both lines are same
so to find it we have to Pythagoras theorem (A^2 + B^2 = C^2), well it is question we have the 'A value and C Value', also we need to find the value of B to find the length of MC and BM
A = 5
C = 6
so therefore to find B^2, we have to do the reverse, we don't add but subtract
C^2 - A^2 = B^2
___________________________________________________________
Moving on to Calculation
6^2 - 5^2 = B^2
36 - 25 = B^2
B^2 = 9
B = √9
B = 3
MC and BM Length = 3 cm
____________________________
Now, we know the length we again need to use Pythagoras theorem to solve this.
Since we know
A = 5
B = 3
So..
A^2 + B^2 = C^2
5^2 + 3^2 = C^2
25 - 9 = C^2
C^2 = 16
C = √16
C = 4
Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,500 meters in 6 seconds 4. $36 for 4 rounds of shrimp
Given:
The ratio and rates:
1. 30 ft. To 60.Ft
2. 51 males to 21 females
3. 1,500 meters in 6 seconds
4. $36 for 4 rounds of shrimp
To find:
The fraction in simple terms for the given ratio and rates.
Solution:
1. 30 ft. To 60.Ft
[tex]\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}[/tex]
2. 51 males to 21 females
[tex]\dfrac{51}{21}=\dfrac{17}{7}[/tex]
3. 1,500 meters in 6 seconds
[tex]\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}[/tex]
4. $36 for 4 rounds of shrimp
[tex]\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}[/tex]
The points A,B,C and D divide the line segment AD in the ratio 4:3:1 , respectively , and AD = 72cm . What is the length of BD?
Segment addition postulate states that given points X, and Z, on a line, a point Y, can be located between X, and Z, ony if we have;
XZ = XY + YZ
The length of the segment BD is 36 cm
The reason the above value is correct is as follows:
Known:
The ratio in which the points A, B, C, and D divide the line segment = 4:3:1
The length of segment AD = 72 cm
Required:
The length of BD
Method:
Calculate the length of BC and CD and add their values to get BD
Solution:
Let the ratios be given unit proportions of the segment AD such that we have;
AB = 4 units
BC = 3 units
CD = 1 unit
By segment addition postulate, we have;
AD = AB + BC + CD
∴ AD = 4 units + 3 units + 1 unit = 8 units = 72 cm
∴ 1 unit = 72 cm/8 = 9 cm
1 unit = 9 cm
BD = BC + CD by segment addition postulate
BC = 3 units = 3 × 1 unit
∴ BC = 3 × 9 cm = 27 cm
BC = 27 cm
CD = 1 unit
∴ CD = 9 cm
∴ BD = 27 cm + 9 cm = 36 cm
The length of segment BD = 36 cm
Learn more about segment addition postulate here:
https://brainly.com/question/17015321
Choose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.
The statistical question is; "What are the ages of the students in this class?
What is a statistical question?A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.
Among the two questions, the statistical question is; "What are the ages of the students in this class?
Learn more about statistics:https://brainly.com/question/8058700
#SPJ1
Un vendedor de celulaes tiene una meta diaria de venta si al momento lleva el Q.2,000.00 de la meta que equivale el 20%
Answer:
Sales goal, S = Q. 10,000
Step-by-step explanation:
Let the daily sales goal be S.Given the following data;
Amount sold = Q. 2,000.00Percentage of the sales goal = 20%To find his daily sales goal;
[tex] \frac {20}{100} * S = 2000 [/tex]
[tex] 0.2 * S = 2000 [/tex]
Dividing both sides by 0.2, we have;
[tex] S = \frac {2000}{0.2} [/tex]
Sales goal, S = Q. 10,000
Find an equation of the line having the given slope and containing the given point m= - 8, (2,5) The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)
Answer:
Equation of line is y = -8x + 21
Step-by-step explanation:
Slope, m = -8
General equation of line:
[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]
At point (2, 5), y = 5 and x = 2:
[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]
Therefore:
[tex]{ \sf{y = - 8x + 21}}[/tex]
[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]
Please help me solve this I’m really struggling
Answer:
y =x^2 +8x +15
factories form
y =( x+5 )( x+3 )
x intercept where the graph meet the x axis
y = x^2 +8x +15
let y =0
0 = x^2 +8x +15
0 = ( x + 5) (x+3)
o = x+5 or 0 = x+3
-5 = x or x = - 3
x intercept
(-5;0)
(-3 ;0)
axis of symmetry : where you will cut the graph into two half
x = - b/2a
x = - 8/2(1)
x = - 8/2
x = - 4
Domain
XER
Range
y > -1
Klog earns $6.30 per hour. He worked 3.5 hours each day Monday through Friday plus 4 on Saturday. How much did he earn altogether?
Answer:
Klog earned $135.45 altogether.
Step-by-step explanation:
Hours
Monday - Friday : 5 days / 3.5 hours
Saturday : 1 day / 4 hours
3.5 · 5 + 4
= 17.5 + 4
= 21.5
Money
$6.30 per hours / 21.5 hours
6.30 · 21.5
= $135.45
I'LL GIVE BRAINLIEST !!!! FASTERR
please explain how do you get the answer !
Answer:
i) 37
ii) 120
iii) 157
Explanation:
i)
BCA = 180-ACD (Linear Pair)
BCA=180-60
BCA = 120
23+x+BCA=180
143+x=180 (Angle sum property)
x=37
ii) Since triangle ABD is equilateral all of its angles are 60
y+ADC=180
y = 180-ADC (Angles on straight line adds upto 180)
y=180-60
y = 120
iii) Using the values from part i and ii
x+y = 120+37
= 157
Must click thanks and mark brainliest
What does not represent an integer
Answer:
An integer is any rational number without a decimal or fraction. This includes negative numbers, and 0. But decimals and fractions are not integers.
Step-by-step explanation:
Brainliest, please!
What is the factored form of the expression x^2-7x-18
Answer:
(x-9)(x+2)
Step-by-step explanation:
x^2-7x-18
What 2 numbers multiply to -18 and add to -7
-9*2 = -18
-9+2 = -7
(x-9)(x+2)
Answer:
Below.
Step-by-step explanation:
x^2 - 7x - 18
-9 * 2 = -18 and -9 +2 = -7 so the factors are:
(x - 9)(x + 2)
HELP PLEASE!! ASAP
If triangles ABC and DEF are similar, what is y? Show your work.
If both triangles are similar then ratio of sides will be same.
[tex]\\ \sf\longmapsto \dfrac{12}{14}=\dfrac{y}{21}[/tex]
[tex]\\ \sf\longmapsto 12(21)=14y[/tex]
[tex]\\ \sf\longmapsto 14y=252[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{252}{14}[/tex]
[tex]\\ \sf\longmapsto y=18[/tex]
Answer:
y = 18
Step-by-step explanation:
Since the triangles are similar, the corresponding sides are in proportion, that is
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AC}{DF}[/tex] , substitute values
[tex]\frac{y}{12}[/tex] = [tex]\frac{21}{14}[/tex] ( cross- multiply )
14y = 252 ( divide both sides by 14 )
y = 18
Combine like terms in the given polynomial. Then, evaluate for x = 4, y = – 2.
xy – 2xy + 3x2 y — 4x y2 + 2xy2
3x2 y + 2xy2 – xy; – 56
C - xy – 2xy2 + 3x2y; – 56
Cx? y2 – 2; 62
C
– 2x y2 + 3x2y – xy; – 120
Need explanation please
Answer:
- 2 x y^2+3 x^2 y -xy
-120
Step-by-step explanation:
xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2
Combine like terms
xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2
- x y+3 x^2 y - 2 x y^2
Let x = 4 y = -2
-(4)(-2) +3(4)^2 (-2) -2(4)(-2)^2
Exponents first
-(4)(-2) +3(16) (-2) -2(4)(4)
Multiply
+8 -96-32
Add and subtract
-120
help me find x please
Answer:
[tex]3\sqrt{3}[/tex]
[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]
Step-by-step explanation:
If (5^(k-1))+(5^(k+1)) = m, what is 2*5^k in terms of m?
If [tex]5^k^-^1+5^k^-^1=m[/tex], what is [tex]2*5^k[/tex] in terms of m?
A) 5m
B) 5m÷2
C) 5m÷13
D) 5m÷26
Answer:
5m
Step-by-step explanation:
5^(k-1)+5^(k-1)=m
Going to combine like terms on left:
2×5^(k-1)=m
Law of exponents applied:
2×5^k×5^(-1)=m
Reciprocal:
2×5^k×1/5=m
Multiply 5 on both sides to obtain the requested:
2×5^k=5m
How many hundred thousands 90 ten thousands
pls hurry
Answer:
0.9
Step-by-step explanation:
100,000 in 90,000
Apply the distributive property to factor out the greatest common factor of all three terms. {24c + 36d + 18} =24c+36d+18=24, c, plus, 36, d, plus, 18, equals
Answer:
[tex]6(4c + 6d + 3})[/tex]
Step-by-step explanation:
Given
[tex]{24c + 36d + 18}[/tex]
Required
Apply distributive property
We have:
[tex]{24c + 36d + 18}[/tex]
Factor out 6 (to apply distributive property)
[tex]{24c + 36d + 18} = 6(4c + 6d + 3})[/tex]
Hence, the equivalent is:
[tex]6(4c + 6d + 3})[/tex]
Hey can anyone help me with this please? :)
Answer:
1.8 x 10^7 gallons in one hour.
Step-by-step explanation:
60 x 60 = 1,200 = 1.2 x 10^3 (Amount of seconds in an hour)
(1.5 x 10^4) x (1.2 x 10^3)
= 1.8 x 10^7
Suppose 100 users of a social networking site are chosen for a sample, but
only 25 respond. What is this an example of?
A. Response bias
B. Nonselection bias
O C. Selection bias
D. Nonresponse bias
Answer:
i think its d
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Solve for the following. Type your answer using digits. A rectangle with a length ofx−4 and a width of 8 has a perimeter of 34. The value of x is .
Answer:
length = 13
Step-by-step explanation:
length =x-4
width = 8
perimeter =2( x-4) + 2× 8 = 34
= 2x - 8 + 8 =34
= 2x =34
= x = 17
Answer:
x = 13
Step-by-step explanation:
The opposite sides of a rectangle are equal, then
2(x - 4) + 2(8) = 34 ← distribute parenthesis and simplify left side
2x - 8 + 16 = 34
2x + 8 = 34 ( subtract 8 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
Can someone help me with all 3
Answer:
1) 20
2) 60
3) 10
4) 90
Step-by-step explanation:
1. first quartile is the beginning of the box
2. third quartile is the end of the box
3. lowest is the first point of the graph
4. vice versa of 3
The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?
Answer: 34+1.50h
Step-by-step explanation:
Algebraic Equation:
The entrance fee to the waterpark is the intial cost for Leah to get in the park. The amount of hours that Leah will spend at the park is a variable.
You need to add the intial cost and the variable amounts together.
34+h
You put the h in the equation because you don't know how long Leah will spend on the raft. You will be multiply by the rate per hour for a raft.
34+1.50h
Therefore the cost for Leah is 34+1.50.
34 + 1.50h
Therefore, Leah’s cost is 34 + 1.50h.
Write (25x^2 + 30x + 12) in the form (ax + b)^2 + c.
Answer:
25 x^2 + 30 x + 12
Parcelas
Plots
Parcelas
Figura geométrica
parabola
Formas alternativas
x (25 x + 30) + 12
(5 x + 3)^2 + 3
5 x (5 x + 6) + 12
Raíces complejas
x = -1/5 i (sqrt(3) + -3 i)
x = 1/5 i (sqrt(3) + 3 i)
Step-by-step explanation:
