Answer:
45 students
Step-by-step explanation:
Three fifths of the students in the cafeteria bought their lunch from the school. The rest brought their lunch from home. 27 of the students bought their lunch. Let t represent the total number of students in the cafeteria.
We are to calculate the total number of students in the cafeteria.
Fraction of the students in the cafeteria that bought their lunch from the school = 3/5
Number of the students that bought their lunch = 27 students
The total number of students can be calculated as:
3/5 Of t = 27 students
3/5 × t = 27
Cross Multiply
3t/5 = 27
3t = 27 × 5
t = 27 × 5/3
t = 45 students
Therefore, the total number of students in the cafeteria = 45 students
please help!!!!! i’ve been stuck on this question
Answer:
30
Step-by-step explanation:
The angle for BOF is going to be 180.
So if the angle for COF is 150, then COB is going to be the complement angle.
This means it's 180 - 150 = 30.
Alexandra is going to a carnival that has games and rides. Each game costs $3 and
each ride costs $4.50. Alexandra spent $54 altogether at the carnival and the number
of rides she went on is 7 more than the number of games she played. Graphically
solve a system of equations in order to determine the number of games Alexandra
played, 2, and the number of rides Alexandra went on, y.
PLEASE ANSWER ASAP
Answer:
Game =$6 and ride=$9, to solve is 3x+4y=54
x+y=15
Step-by-step explanation:
;)
Evaluate the expression. √9 =?
The radius of a circle is 5 cm. What is the radius of another circle whose area is 25 times that of the first one?
Answer:
Step-by-step explanation:
a₁ = πr₁⁵ = 25π cm²
a₂ = 25(25π) = 625π cm²
r₂ = 25 cm
Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent
Answer:
24.53
Step-by-step explanation:
9% of 22.50 = 2.03
22.50 + 2.03 = 24.53
Answer:
24.53
Step-by-step explanation:
Find the product. (2f – 1)^2 =
Answer: 4f^2 -4f+1
Step-by-step explanation:
2f-1)^2
This is equal to
(2f-1) * (2f-1)
FOIL
first: 2f*2f = 4f^2
outer: 2f*-1 = -2f
inner: -1*2f = -2f
Last = -1*-1 = 1
Add them together: = 4f^2 -2f-2f+1
Combine like terms 4f^2 -4f+1
Answer:
(2f-1)(2f-1)
2f^2-2f-2f+1
2f^2-4f+1
Name this polynomial by its degree: 3x² + 5x-3
Answer:
[tex]\boxed{\textsf {The given polynomial is a quadratic polynomial. }}[/tex]
Step-by-step explanation:
A polynomial is given to us and we need to make the polynomial by its degree . Here the given polynomial is 3x² + 5x -3 .
[tex]\sf\implies p(x)= 3x^2+5x-3 [/tex]
So here we can see that the highest power of the variable in the given polynomial is 2 . So the polynomial is a quadratic polynomial .
★ More to Know :-
When we equate this quadratic polynomial with 0 , it becomes a quadratic equation.
That is ,
[tex]\sf\implies p(x)= 3x^2+5x-3=0[/tex]
This is done in order to find the zeroes of the polynomial. The zeroes of the polynomial are the values for which the polynomial becomes 0 .
I need help with this
William can pack 60 toys in 4 hours. Find the unit rate with which he packs
toys.
A.16 toys/hour
B.15 toys/hour
C.14 toys/hour
D.13 toys/hour
10) using opposite operations solve for x
30 = - 6 x + 12
todos los números pares son múltiplos de :
ayuda es para hoy
Answer:
11
Step-by-step explanation:
Creo nose XD (revisa los múltiplos de 11 siempre son pares) xd
can anyone please answer this if you can i’m confused
Answer:
Ge I Joe 02 04 Soccer balls height
rick believes the two expressions 4(3a-3) +2a and 14a-3 are equivalent. is he correct? explain why or why not?
Answer:
no
Step-by-step explanation:
4(3a-3)+2a when you expand youget
((4x3a)-(4x3)) + 2a = 12a - 12 + 2a then we collect the like term first 12a + 2a - 12
14a -12
therefore 14a - 12 is not equal to 14a- 3
In the diagram, which pair of angles are alternate interior angles?
O <2 and <5
O <1 and <7
O <5 and <3
O <7 and <4
The alternate interior angles shown are <3 and <5, as well as <2 and <8.
I hope this helped!
Answer:
ur answer would be
<2 and <5
step-by-step explanation:
hope this helps
2x-8
The number 2 is a constant in the expression.
a. True
b. False
Answer:
False
Step-by-step explanation:
2 is next to a variable making it a coefficient.
Answer:
False
Step-by-step explanation:
The constant is 8 because it stands alone and has a fixed value 2 does not stand alone and does not have a fixed value
Does this system have one
olution,
5x + 3y = 1
35x + 21y = 2
Choose the correct answer below.
o One solution
0 Infinitely many solutions
O No solution
Answer:
infinitely many solutions cuz in mathmatices any problem has solution
what is the perimeter of this building?
Answer:
115 m
Step-by-step explanation:
4 + 9 + 6 + 4 = 23 cm
23 x 5 = 115 m
a) What is the name of the line marked a?
b) What is the name of the line marked b?
c) What is the name of the line marked c?
d) What is the name of the line marked d?
Answer:
Step-by-step explanation:
raduis and diameter.
Expand and simplify 7a + 4(a-2b)
Help please :)
Answer:
11a - 8b.
Step-by-step explanation:
7a + 4(a-2b)
= 7a + 4a - 8b
= 11a - 8b.
Another submarine's descent can be represented as `y=-240x`, where u is the elevation and x is time in hours. How long will it take this submarine to make the descent (2,100 feet below the surface)?
Answer:
The time it will take is 8hours 45mins.
Step-by-step explanation:
Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.
A descent of 2100 means y = –2100. Hence,
–2100 = –240x
x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).
will give 100 points
Answer:
x=28
m<ACD=68°
Step-by-step explanation:
2x+(180-124)+(180-4x)=180
-2x+236=180
-2x=180-236
-2x=-56
x=28
m<ACD=180-4x=180-4(28)=180-112=68
Answer:
The answer is <ACD = 68°
Step-by-step explanation:
Using the property that the sum of interior angles in a triangle is equal 180°,we have:
<DAC + <ACD + <ADC = 180°
[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]
Finally, calculating the angle <ACD, we have:
<ACD = 180 - 4x
<ACD = 180 - 4 . 28
<ACD = 180 - 112
ACD = 68°
Find the percent of decrease. Round to the nearest whole percent. 428 to 377
Answer:14
Step-by-step explanation:
5x + 10y = -5
-5 - y = 32
What is the approximate volume of the cylinder?
Answer:
V ≈ 509 m3 ← with 3.14 for π =2462 feet³
Step-by-step explanation:
I hope I helped, This is my math just round up :)
I REALLY need help! Solve the inequality. State the solution in inequality notation.
2(3x−4)+14>−2(−3x−5)+4x
Answer:
x<−1
Step-by-step explanation:
Answer:
x < -1
2(3x - 4) + 14 > -2(-3x - 5) + 4x
<=> 6x - 8 + 14 > 2(3x + 5) + 4x
<=> 6x + 6 > 6x + 10 + 4x
<=> 4x + 4 < 0
<=> 4x < -4
<=> x < -1
5/7x - 14 = -22. Find x.
Answer:
x = -56/5, -11 1/5, or -11.2
Step-by-step explanation:
5/7x - 14 = -22
5x -98 = -154
5x = -154 + 98
5x = -56
x = -56/5, -11 1/5, or -11.2
Answer:
x= -11.2
Step-by-step explanation:
5/7x-14=-22
+14 +14 Add 14 on both sides
5/7x = -8
(7/5)*5/7x = -8*(7/5) Multiply by the reciprocal on both sides to leave x alone
x= -11.2 Answer
i have to solve for H
Answer:
h = [tex]\frac{3v}{\pi r^{2} }[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
4x + 5 + 3x – 12 =
A.9x-9
B.7x+7
C.7x-7
Answer:
7x - 7
Step-by-step explanation:
In this equation you are going to add like terms.
The like terms you have are the terms with x and then the terms without the x.
So 4x + 3x = 7x
5 - 12 = -7
So your answer is 7x-7
Four months of the year have thirty days only. What fraction of the set
of months is this?
Answer:
4/30 or 4/120
Step-by-step explanation:
I have one word to say. MATH.