Answer:
280 students
111 non students
Step-by-step explanation:
number of students (S)
number of non students (N)
S+N=391 S=391-N
4S+6N=1786
substitute S
4(391-N)+6N=1786
1564-4N+6N=1786
subtract 1564 from each side
2N=222
N=111
S=391-111=280
Select all the expressions equivalent to:
20a + 10b
a
5(4a + 2b)
b
10(2a + b)
C С
2(10a + 5)
2(10a + 5b)
Od
Оe
5(4a - 2b)
Answer:
5(4a + 2b)
10(2a + b)
2(10a + 5b)
Step-by-step explanation:
we are trying to find equations equivalent to (20a + 10b), so distribute
5(4a + 2b) = 20a +10b YES
10(2a + b) = 20a +10b YES
2(10a +5) = 20a + 10 NO
2(10a + 5b) = 20a +10b YES
5(4a - 2b) = 20a - 10b NO
The sum of two numbers is 12. The product of those same two numbers is -64. Find the numbers.
Answer: The answer for the 2 numbers are 16 and -4.
Step-by-step explanation: 16 + (-4) is 12, and 16 x (-4) is -64.
i ready classroom grade 8 volume 1 mathematics
Can anyone help me with this asap !!!
Answer:
COCO is life
Step-by-step explanation:
COCO is = to food and water
And food of COCO contains 2grams
Water of COCO contains 10 liters
So add grams and liters together
And u get this
10l/41ⁿ9xg451/⅞41 + we12/need/34¹⅔/coco
=coco 10274728l
Priya is making burgers for a party. She has 5 pounds of meat and uses 1/3 of a pound for one burger. How many burgers can priya make?
Answer: Priya can make 15 burgers with 5 pounds of meat
Step-by-step explanation:
Step 1
From Priya's receipe,
1 burger can be made from 1/3 of a pound of meat
How many burgers can be made from 5 pound of meat
Step 2 Using the equation below, that
1 burger = 1/3 pound of meat
Therefore 5 pounds of meat
5 x 1 / 1/3 = 5/(1/3)
= 5 x3 = 15 Burgers.
Radium-226 has a half-life of 1660 years. How many years does it take a radium sample to decay to 55% of the original amount? Round your answer to the nearest year.
Answer:
1432 years
Step-by-step explanation:
A(t) = I(0.5)^t/t1/2
Where t1/2 = half life = 1660
Final amount, A(t) = 0.55 of its original amount =. 0.55I
Hence, we have
0.55I = I(0.5)^t/1660
Take the log of both sides
Log(0.55) = log(0.5)^t/1660
t/1660 = log(0.55) / log(0.5)
t/1660 = 0.8624964
t = 0.8624964 * 1660
t = 1431.7441
t = 1432(nearest whole number)
In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?
Answer:
Step-by-step explanation:
we will set up two equations:
let c be candy
let m be mints
3c+2m=10.80
c+3m=5.35, c=5.35-3m
3(5.35-3m)+2p=10.80
c=3.10
m=0.75
Let x be the cost of candy per pound and y be the cost of mint per pound.
[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]
Rewrite the second equation for substitution:
x = 5.35 - 3y
Substitute the equation above into the first equation:
3(5.35 - 3y) + 2y = 10.80
16.05 - 9y + 2y = 10.80
-7y = -5.25
7y = 5.25
y = 0.75
∴ The price of mint per pound is $0.75.
the pythagorean theorem states that a^2 + b^2 = c^2 If A and B represent the length of the legs of a right triangle and C represents the length of the hypotenuse. Find the length of the hypotenuse Is the length of the legs are 9cm and 12cm.
Answer:
25 or 50 points is that if 25 or 20 im not
Answer:
The hypotenuse equals 15cm
NEED HELP WITH THIS ASAP!!
Amy's fish tank has 16 liters of water in it. She plans to add 6 liters per minute until the tank has more than 88 liters. What are the possible numbers of minutes Amy could add water?
Answer:
12 minutes till 88 liters
Step-by-step explanation:
pls help with this math question !
thx !
Answer:
h^4
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Construct a parallelogram whose diagonals
are 5.4 cm and 6.2 cm and an angle between
them is 70°.
Answer:
15.73 cm²
Step-by-step explanation:
Construct a parallelogram whose diagonals are 5.4 cm and 6.2 cm and an angle between them is 70°.
To construct the parallelogram, we find the Area of the parallelogram.
Area of a parallelogram = ½ × d1 × d2 × sin (y)
Where
d1 = Diagonal 1 = 5.4 cm
d2 = Diagonal 2 = 6.2 cm
y = Angle between them = 70°
Area of the parallelogram =
1/2 × 5.4 × 6.2 × sin 70
= 15.730454472 cm²
Approximately = 15.73 cm²
On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?
Answer:
4,950
Step-by-step explanation:
4,500*.10=450
4,500+450=4,950
Hope this helps:)
HURRYYYY FASTTT
There are 16 fluid Ounces of juice in 2 bottles of your favorite juice. How many fluid Ounces are there in 10 bottles?
80 fluid Ounces
72 fluid Ounces
160 fluid Ounces
96 fluid Ounces
Answer:
80 fluid ounces
Step-by-step explanation:
16*5=80
Answer:
80 fluid Ounces
Step-by-step explanation:
I majored in Mathematics
Is the following triangle congruent by SAS, ASA, or SSS? Why?
Answer:
ASA
Step-by-step explanation:
As it is shown
m<A = m<Z
m<Y = m<C and
|YZ| = |AC| so the triangles are congruent by ASA
Despite a wide variety of workplaces for those working in Human Services, all workplaces include
comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.
Answer:
a variety of medical testing equipment.
Step-by-step explanation:
Answer:
c hope this helps if wrong please tell me
Step-by-step explanation:
Find the value of x and y.
Answer:
This is a triangle with 2 equal angles and equal to 60
=> this is an equilateral triangle
=> y = 60
4x.3 = 54
=> y = 60
x = 54/12 = 4.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
if two angles are 60 degrees, the third one is also 60 degrees
that means all the sides are equal
if one side is 4x
4x+4x+4x=54
12x=54
x=4.5
If $30,000 then is equivalent to $900,000;
then, what is $1 then equivalent to in today's
dollars?
Answer:
$30
Step-by-step explanation:
You need to figure out how the money changes between then and now. To do that, take now and divide it by then; 900,000/30,000 = 30, the amount now is 30 times that of then. To figure out what any amount then is worth now, multiply it by 30 and you'll get you answer. (In this case: 1*30 = 30)
-12x = 3(y - 3)
y = ___
A a. AAnswer:
kid thanks
Step-by-step explanation: kk k k
WILL GIVE BRAINLIEST ASAP!!
1. Determine the area and perimeter of the quadrilaterals below.
Part A:
Part B:
Part C:
(see picture)
Answer: A) 1888 B) 664.225 C)?
Step-by-step explanation:
A= 42+76(1/2) = 59
59(32)=1888
A=163/10(163/4)=664.225
4x=-20 solve for x show your work
Answer: x = 5
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
We have the expression 4x = -20 and are asked to solve x.
To solve, we need to isolate x.
4x = -20
Divide 4 :
x = -5
A large rectangular box has a volume of 15.75 cubic feet. The box is 2.5 feet long and 1.5 feet wide. What is the height of the box?
Answer:
2.5 x 1.5= 3.75
15.75/3.75=4.2
Answer- 4.2
Step-by-step explanation:
The area of a rectangle is 2x^2-11x+15 square feet. The length of the rectangle
is 2x - 5 feet. What is the width of the rectangle?
A) W = x + 5
B) W = x-1
C) W = x-3
D) W = 2x-5
Answer:
A
Step-by-step explanation:
SOMEONE ANSWER THESE ASAP
MARKING BRAINLIEST
PLEASE HELPPPPP
Sorry this took a while; calculated a lot of things.
Step-by-step explanation:
A.
Combined:
2.67 times 23.76 = 63.4392
2.67 times - 21 and 5/6 = -58.295
63.4392 - 31.85 -58.295 = -26.7058
If you mean do both separate:
63.4392 - 31.85 = 31.5892
-58.295 - 31.85 = -90.145
B.
Combined:
11 and 3/4 times 23.76 = 279.18
11 and 3/4 times 21 and 5/6 = 256.541666667
279.18 + 256.541666667 + 56 and 3/8 = 592.096666667
If you mean do both separate:
279.18 + 56 and 3/8 = 335.555
256.541666667 + 56 and 3/8 = 312.916666667
Determine if the triangles are congruent by HL, SAS, SSS, AAS, or
ASA
Somebody help please!!!
I need help, please solve this math problem. If you don't know the answer please don't answer. You will get reported.
Answer:
I believe it's A 2¹²
Step-by-step explanation:
The answer lies in the question itself.
In the equation, we have
3x - y = 12.
This means 3x = 12 + y.
We have to find 8^x/2^y.
8 can be written as 2^3. Therefore, 8^x = 2^3x.
But 3x = 12 + y, hence can be replaced.
Now we have, in the fraction, 2^(12 + y)/2^y.
This can be written as 2^(12 + y - y) = 2^12.
Your garden has 9 pots that use 2 1/3 bag of soil. How much soil does each pot hold?
Answer:
2 6/7
Step-by-step explanation:
i divided
In x^a=y, y^b=z, z^c=x, then prove that abc=1
Step-by-step explanation:
Let, x^a =y......(1) and
y^b =z.....(2) and
z ^c =x......(3).
Now, using (1) in (2) we get,
x ^ab =z......(4).
Now, using (4) in (3) we get,
x ^abc =x
or, x ^abc =x ^1
or, abc=1.
Hope it will help :)
Step-by-step explanation:
hope the above solution will help you
Which of the following nets is for a pyramid?
2nd one
hope it helps you
The net of the pyramid is given by figure B
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
A net is a two-dimensional representation of a three-dimensional shape that, when folded along the edges, forms the shape of the solid.
In the case of a pyramid, the net consists of a polygonal base and triangular faces that meet at a common vertex.
The number of triangular faces depends on the type of pyramid (triangular, square, pentagonal, etc.).
To learn more about surface area of pyramid click :
https://brainly.com/question/15050758
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Find the area of each composite figure.
Answer:
89.14 Sq . meter
Step-by-step explanation:
Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :
4 metres × 16 metres
= 64 sq. meter
Area of semicircle :
(pi×r^2)/2
= {(22/7)× (8/2)^2}/2
= (22×4×4)/(7×2)
= 176/7
= 25.14 sq. meter
Now , area of whole figure= (64+25.14)sq. meter
= 89.14 sq. meter
Help.Calculate the area of the trapezoid
Answer:
180 in²
Step-by-step explanation:
[tex]A_{trapezoid}[/tex] = [tex]\frac{b_{1} +b_{2} }{2}[/tex] h
