Answer:
3264:221
Step-by-step explanation:
If by last year there were 221 students and 12 teachers at Hilliard School, then;
221students = 12teachers
To find the equivalent ratio for 272students, we can say;
272students = x teachers
Divide both expressions
221/272 = 12/x
Cross multiply
221 * x = 272 * 12
221x = 3264
x = 3264/221
x = 3264:221
This gives the required proportion
Factor 140c + 28 -14a to identify the equivalent expressions.
Step-by-step explanation:
140c+28-14a14(10c+2-a)hope it helps
stay safe healthy and happy...shaun baharat and jagan play hockey , shaun has scored 9 more goals that jagan baharat has scored 6 more goals than shaun , all together they have scored 69 goals , how many did they each score
Let x be the number of goals that Jagan scored, then Shaun scored x + 9 goals and Baharat scored x + 9 + 6 = x + 15 goals.
What in mathematics is a linear equation?
According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
We know that the total number of goals is the sum of the goals each player scored, which is x + (x + 9) + (x + 15) = 69
We can express this as 3x + 33 = 69
Then we can subtract 33 from both sides to get 3x = 36
Then we divide both sides by 3 to get x = 12
Then we can substitute the value of x back to find the number of goals each player scored:
Jagan: x = 12
Shaun: x + 9 = 12 + 9 = 21
Baharat: x + 15 = 12 + 15 = 27
So Jagan scored 12 goals, Shaun scored 21 goals and Baharat scored 27 goals.
Learn more about linear equation
https://brainly.com/question/2030026
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If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,a d) a, a², √a
Hello,
[tex]0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...[/tex]
help please what is the median
Answer:
The median is 9
Step-by-step explanation:
The median is the number in the middle. The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.
Será - 12 esta noche. El meteorólogo predice que mañana al mediodía hará 25 ° más de temperatura. ¿Cuál será la temperatura mañana al mediodía?
Respuesta:
13 °
Explicación paso a paso:
La temperatura de esta noche = - 12
La temperatura prevista para mañana = 25 ° más cálida que la temperatura de esta noche
La temperatura prevista para mañana será;
La temperatura de esta noche + 25 °
Temperatura prevista para mañana = (-12 ° + 25 °)
Temperatura prevista para mañana = 13 °
Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?
Heya Kitties! Can someone answer this for me?
3⋅2−1(−10)−3+12?
Thanks!
Answer:
the answer of the above question is -1.2
Someone help, I suck at math
option A.55°
Answer:
Solution given:
<x+<y=<z
exterior angle of a triangle is equal to the sum of two opposite interior angle
4n-18+n+8=133-6n
5n+6n=133+10
11n=143
n=143/11
n=13
exterior angle =133-6*13=55°
option A.55°
Miguel's scores on his first three math
PACE Tests were 95, 92, and 90. What
score does he need on his next test to
have a 94 average?
Answer: 99
Step-by-step explanation:
Fourth PACE Test = xSince the average of all four tests is 94:
[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]
Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]
its speed of projection is 20 ms^(-1)
Answer:
Solution given:
maximum range=40m
u²sin90°/g=40
u²*sin90°/10=40
u²=40*10
u=[tex]\sqrt{400}=20m/s[/tex]
(not really a math problem) I have a 125 gallon tank, 5ft long and 6ft in circumfrence 3 inches of fuel in the tank how much gallons is that ` - `
Answer:
6.25 gallons
Step-by-step explanation:
If 125 gallon tank in equivalent to 5ft
1 foot is equal to 12inches...
5 ft ×12 =60 inches
So 125 gallon tank= 60 inches
If 60 inches = 125 gallon
3 inches = 125 × 3 / 60
= 375/60
= 6.25 gallons
(100 points)
4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
5. If he difference is 589 and the subtrahend is 339,what is the minuend?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
6. If the quotient is 17 and the dividend 765, what is the divisor?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?
a. What are they asking for?
how big was the original group?
b. identify all the necessary numbers.
28,5
c. write the equation or problem in numeric form.
x=28*5
d. solve the math.
x=140
e.write the answer
. the original group contains 140 people.
5. If he difference is 589 and the subtrahend is 339,what is the minuend?
a. What are they asking for?
what is the minuend?
b. identify all the necessary numbers.
589,339
c. write the equation or problem in numeric form.
x=589-339
d. solve the math.
x=250
e.write the answer.
minuend=250
6. If the quotient is 17 and the dividend 765, what is the divisor?
a. What are they asking for?
what is the divisor?
b. identify all the necessary numbers.
17,765
c. write the equation or problem in numeric form.
x=765/17
d. solve the math.
x=45
e.write the answer.
divisor is 45.
4. Solution
a. How big was the original group?
b. 28 and 5
c. x = 28×5
d. x = 140
e. There are 140 people in original group.
5. Solution
a. What is the minuend?
b. 589 and 339
c. x = 589-339
d. x = 250
e. The minuend is 250.
6. Solution
a. What is the divisor?
b. 17 and 765
c. x = 765/17
d. x = 45
e. Hence, 45 is the divisor.
Y varies directly as x and k = 5
Y=kx
Find y when x = 5
Answer:
y = 25
Step-by-step explanation:
Given y = kx and k = 5 then
y = 5x ← equation of variation
When x = 5 , then
y = 5 × 5 = 25
Triangle ABC has perimeter 20 cm.
AB = 7 cm.
BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle
Answer: 28.
Step-by-step explanation: Because if you times 7 and 4 you get 28.
0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]
Answer:
0.21
Step-by-step explanation:
The given expression is :
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]
We need to solve it.
We know that,
[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]
So,
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]
or
[tex]=\dfrac{21}{100}[/tex]
So, the value of the given expression is equal to 0.21.
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)
Answer: 69, -69
Step-by-step explanation:
it is easy buddy not lies
GIVE AN EXPLANATION PLEASE! A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FIRST SERVE BASES + ANSWER HAS TO BE CORRECT)
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
The profit percentage = 16.3%
The sum of the digits in a 2 digit number is 5. If the number is subtracted by 9 then the digits will be reversed. Find the number. If the tens digit is x then what is the equation?
Answer:
Let ten's place digit =x and unit place digit =y
Number=10x+y
x+y=5 ...(i)
10x+y−9=10y+x
9x−9y=9x−y=1 ...(ii)
from (i) and (ii) we get,
x=3,y=2
∴Number=10×3+2=32.
Step-by-step explanation:
Hope it helps!
Rewrite the following expression.
A.
B.
C.
D.
Answer:
da
Step-by-step explanation:
Please help me with this, no clue.
which statements are true about the target function? Check all that apply.
tan(PAB) = y/x
tan(APB) = x/y
tan(PAB) = sin(PAB)/cos(PAB)
tan(PAB) = cos(PAB)/sin(PAB)
tan(PAB) = PB/AB
Answer:
A, B, C, E.
Step-by-step explanation:
.
Squares of Binomials
Please Help
One number is 6 times a second number. The sum of the two numbers is 56. Find the numbersOne number is 6 times a second number.
The sum of the two numbers is 56. Find the numbers
Answer:
I think its 56 = 56
Step-by-step explanation:
Answer:
8 and 48
Step-by-step explanation:
This can be written as a system of equations. X will be the smaller number and y will be the larger:
6x = y
x + y = 56
Then substitute y in the second equation for 6x(seen in first equation) and solve.
x + 6x = 56
7x = 56
x = 8
So one number is 8. To find the other plug in 8 for x in either of the original equations (both get the same answer for y).
6x = y
6 * 8 = y
48 = y
Then double check by seeing if they fit the requirements of the problem.
Hope this helps!
PLEASE ANSWER QUICK!!! 30 POINTS
The figure has angle measures as shown.
A
19x - 15
26x + 20
D
9x + 25
C
B
What is the measure of ZABD?
O 150°
O 120°
O 70°
O 30°
Answer:
Solution given;
<ABD=<BAC+<ACB
Since exterior angle of a triangle is equal to the sum of two opposite interior angle
26x+20=19x-15+9x+25
solve like terms
26x+20=28x+10
subtracting both by 10
26x+20-10=28x+10-10
Subtracting both side by 26x
10=28x-26x
2x=10
dividing both side by 2
2x/2=10/2
x=5
Now
<ABD=26*5+20=l50°
The value of <ABD is 150°
Can someone help with this please & thank you It’s due tomorrow
Answer:
[11] x = 3
[12] x = 37
[13] x = 1.2
[14] x = 62
For 12-15, find the missing measures
Answer:
12. d= 14, C=14π, A=49π
13. r= 13, d=26, A=169π
14. r=9, C=18π, A=81π
15. r=10, d=20, C=20π
Step-by-step explanation:
someone help me for this algebra task please
Answer:
The last one is the answer
Answer: For each hour that Michelle drove, she travelled an additional 50 miles.
Step-by-step explanation:
Test each option to see its accuracy
Calculate the slope:
[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]
This means that Michelle drove 50 miles per hour.
The other three options are wrong because if you bring in:
x = 6x = 3into your function- y = -50x + 350, you would not get the stated miles.
Solve the equation
1/x + 1/3x = 4
Answer:
x = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{x} + \frac{1}{3x} = 4[/tex] (Multiply everything by LCM)
[tex]3x*\frac{1}{x} + 3x*\frac{1}{3x}=3x*4[/tex] (Simplify the fractions)
[tex]3+1=12x\\4=12x\\x=4/12\\x=\frac{1}{3}[/tex]
Help please I don’t understand
Answer:
you need to solve for 'X'
mean 49 = 55 + 42 + 32 +48 + 55 + X
49 = (232+X) / 6
49 * 6 = 232 + X
294 = 232 + X
294 - 232 = X
62 = X
so therefore X is 62
Step-by-step explanation:
please give me a brainliest
At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2
pahelp naman po :<
Answer:
E = 7.30 J
PE = 7.30 J
KE = 0
Step-by-step explanation:
Given;
maximum height, h = 1.2 m
mass of the object, m = 0.62 kg
velocity, v = 0 m/s
acceleration due to gravity, g = 9.81 m/s²
To determine;
total energy, E =?Potential energy, PE =?Kinetic energy, KE =?The potential energy, PE = mgh
PE = 0.62 x 9.81 x 1.2
PE = 7.30 J
The kinetic energy, KE = ¹/₂mv²
KE = ¹/₂ x 0.62 x 0
KE = 0
The total mechanical energy, E = PE + KE
E = 7.30 J + 0
E = 7.30 J
