Answer:
23 students
Step-by-step explanation:
In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only.
Those that read maths only = 4, Those that read statistic only =7, Those that read statistics and physics only = 3, those that read maths and statistics only = 1.
Therefore those that read all three subjects = 15 - 7 - 3 - 1 = 4
Those that read maths and physics only = 12 - 4 - 4 - 1 = 3
Those that read physics only = 11 - 3 - 4 - 3 = 1
The number students = 4 + 7 + 3 + 1 + 4 + 3 + 1 = 23 students
two groups of students order cheeseburgers and chicken nuggets at mcdonald’s. one order of 9 cheeseburgers and 4 chicken nuggets cost $22.37. the other order of 3 cheeseburgers and 4 chicken nuggets cost $15.23. find the cost of a cheeseburger
Answer:
$1.19
Step-by-step explanation:
Let the cost of a cheeseburger be $b and that of a chicken nugget be $n.
From the given information, we can form 2 equations.
9b +4n= 22.37 -----(1)
3b +4n= 15.23 -----(2)
Notice that the 2 equations have '4n' in them. I'll be using elimination method to solve the equation by getting rid of the 4n.
(1) -(2):
9b +4n -(3b +4n)= 22.37 -15.23
9b +4n -3b -4n= 7.14
6b= 7.14 (simplify)
b= 7.14 ÷6 (÷6 on both sides)
b= 1.19
Thus, a cheeseburger cost $1.19.
Answer:
Step-by-step explanation
1.19
Write the Equation for the line that goes through the points (30,75) and (60,50).
Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]
Step-by-step explanation:
my answer was wrong and cannot be deleted :)
What is the area of the rhombus shown below?
O
C
O A. 127.5 square units
O B. 255 square units
BI = 15
O C. 16 square units
A
11.2
O D. 190.4 square units
Answer:
It's A 100%
Step-by-step explanation:
Took the quiz
it’s multi choice please help me out thankyou so much
Answer:
Yes
Step-by-step explanation:
If you look at the angle they're the same which gives you one hint. Then both side lengths are also equal making both triangles congruent.
This follows SAS( Side-Angle-Side)
Answer:
yes is the correct answer
Step-by-step explanation:
Someone answer ASAP pleaseee
Answer:
1. (4,2) and (-2,-4)
2. (6,3) and (3,-6)
3. (1,8) and (7,-4)
Step-by-step explanation:
Select all of the equations for which x = -1 *
1 point
x + 1 = 0
3x = -3
x - 9 = -8
5x = -5
What is the slope? will mark brain
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3.
Step-by-step explanation:
The answer is 3( slope ) because
6÷2=3.
Improper fraction = 3/1
Which is equivalent to One-fourth x?
Answer:
Step-by-step explanation:
That'd be (1/4)x or x/4.
Answer:
The answer is A on edg 2020
Step-by-step explanation:
i got it right.
can i get brainliest
Can someone help with this question?
Answer:
1. 5
2. -3
3. -4
4. 0
Step-by-step explanation:
Substitute the value of x in the equation with each of the x's given in the table.
Example:
When x = -1
y = -1^2 - 4 x -1 = 1 - 4 = -3
When x = 4
y = 4^2 - 4 x 4 = 16 - 16 = 0
Please add brainiest
what is the value of x when the richter scale rating is 5.5
Answer:
5.5
Step-by-step explanation:
divide both sides
2 families go to the theatre. the p family of 2 adults and 3 children pay £46. the l family of 3 adults and 5 children pay £76. work out thecost of an adult ticket and child ticket.
Answer:
child: 14
Adult : 2
Step-by-step explanation:
2A + 3C = 46------------eqn 1
3A + 5C = 76------------eqn 2
eqn 1 x 3 : 6A + 9C = 138----------- eqn 3
eqn 2 x 2: 6A + 10C = 152-----------eqn 4
eqn 4 - eqn 3: 1OC - 9C = 152 - 138
1C = 14
subst 1C = 14 into eqn 1
2A + 3(14) = 46
2A = 46 - 42
2A = 4
1A = 2
Rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent. How can she use what she knows about rotations and triangle congruence to prove the triangle congruence?
Answer:
A
Step-by-step explanation:
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40
If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
We have given that,
Rebecca is given two triangles, ABC and DEF.
At first glance, she thinks that the triangles are congruent.
Therefore we have
What is the meaning of rotation?Rotation is circular movement.
A rotation is the movement of something through one complete circle.
The daily rotation of the earth upon its axis.
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.
Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
To learn more about the rotation visit:
https://brainly.com/question/26249005
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The diameter of a circle is 222 units. What is the radius of the circle?
Answer:
111 units
Step-by-step explanation:
the diameter is double the radius so divide 222 by 2 to get 111 units.
Can someone please help me I’m stuck I don’t know what
Answer:
x = 7.5
Step-by-step explanation:
Given BE is parallel to CD and intersects the other 2 sides, it divides those sides proportionally, that is
[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] , substitute values
[tex]\frac{10}{8}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5
Can any one here please help me in this math problem I really need help
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
The value of [2-3(2-3)-1]-1 is
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
A = [2 - 3(2 - 3) - 1] - 1
The operations inside parenthesis are performed first. We have:
A = [2 - 3*(-1) - 1] - 1
The multiplication is performed next. We have:
A = [2 - (-3) - 1] - 1
Now, the operation could be performed freely in any order. (because only subtraction is remaining). We have:
A = 2 - (-3) - 1 - 1
= 2 + 3 - 1 - 1
= 5 - 2
= 3
Hope this helps!
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer: B. The test contains 10 three-point questions and 14 five-point questions
Step-by-step explanation:
14 * 5 = 70
10 * 3 = 30
70 + 30 = 100
14 + 10 = 24
Answer:
y=14
x=10
Step-by-step explanation:
x+y=24
3x+5y = 100
multiply the first equation by 3 and subtract from second one :
3x+3y=72
-
3x+5y=100
equal : -2y=-28
y=14
x=10
solve the equation for x -x*2-10x+24=0
Answer:
x=-12 x =2
Step-by-step explanation:
-x^2-10x+24=0
Divide by -1
x^2 +10x -24 = 0
Factor
What 2 terms multiply to -24 and add to 10
12 * -2 = -24
12 -2 = 10
(x+12) ( x-2) = 0
Using the zero product property
x+12 =0 x-2 =0
x=-12 x =2
If a student with 2 absences got a score of 12 what would be the score for a student who had 3 absences
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
38. A painting without its frame has
a width 2.5 times its height, h,
in inches. Its frame is 3 in. wide
all along its perimeter. What is
an expression for the area of the
framed painting in terms of h?
Simplify your expression, and write
it in standard form.
Answer:
1.5*w^2 + 15*w + 36
Step-by-step explanation:
We have to make the width of the portrait be 'w'
in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w
Frame width is 3 inches on all sides.
Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.
I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.
From the figure, we have to:
AB = 3 + w + 3 = w + 6
BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6
We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,
Area = (w + 6) * (1.5 * w + 6)
Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36
Area = 1.5*w^2 + 15*w + 36
That is, the expression for the framed portrait area in terms of the width 'w' is:
1.5*w^2 + 15*w + 36
What is the slope of the line that contains the points (-23, -16) and (13, -16)?
Answer:
Use the slope formula to find the slope . m = 0
Step-by-step explanation:
Ans:
3/2. your welcome
Step-by-step explanation:
Find the area of a circle with diameter,
d
= 10m.
Give your answer in terms of
π
.
Answer:
A = 25pi m^2
Step-by-step explanation:
We know the diameter, we need the radius
r = d/2
r = 10/2 = 5
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi m^2
Sari wrote the equivalent ratio below to convert cups to fluid ounces
The answer will be B. 72
Answer:The answer to this problem is 72 fluid ounces
Step-by-step explanation:
The total area of the figure to the right is
187cm. Use this fact to write an
equation involving x. Then solve the
equation to find the value of x. Justify
your answer
Answer:
x = 4 cm
Step-by-step explanation:
The area of an rectangle is the product of its length and its breadth.
From the diagram, the length = 13 + x and the breadth = 7 + x. Therefore:
Area of the rectangle = length × breadth = (13+x)(7+x)
But the area = 187 cm,
⇒ 187 = (13+x)(7+x)
187 = x² + 20x + 91
Subtracting 187 from both sides
x² + 20x + 91 - 187 = 187 -187
x² + 20x - 96 = 0
x² + 24x - 4x - 96 = 0
x(x + 24) - 4(x + 24) = 0
(x - 4)(x + 24) = 0
x - 4 = 0 or x + 24 = 0
x = 4 or x = -24
Since x cannot be negative therefore, x = 4 cm
Length = 13 + 4 = 17 cm
Breadth = 7 + 4 = 11 cm
The age of father is 4nyears.If the age of his daughter is(2n-9)years.find their total age.
Answer:
4n+(2n-9)
4n+2n-9
6n-9 =the total age
6n=9
divide by 6 both sides.
n=9/6
n=1.5 years.
substitute the value of n in the age of the father and the daughter.
Age of father=4×1.5
6years.
Age of Daughter = (2×1.5)-9
3-9
=-6 years
Total age
6-6=0
12e^5 divided 3e^3 simplified
Answer:
[tex]4 {e}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times {e}^{5 - 3} \\ = 4 {e}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The width of a rectangle is 8 cm less than the length of the rectangle.
The perimeter of the rectangle is 54 cm.
Find the area of the rectangle
Answer:
166.25 cm²
Step-by-step explanation:
W = L - 8
2W + 2L = 54
2(L - 8) + 2L = 54
2L - 16 + 2L = 54
4L - 16 = 54
4L = 70
L = 17.5, W = 9.5
A = 17.5 x 9.5 = 166.25 cm²
which expression is equivalent
Answer:
a^9*b^6
Step-by-step explanation:
a^(-8) b 1 1
-------- = a^(-3), and ----------- = --------- Their product is --------------
a^(-5) b^(3) b^2 a ^3*b^2
This is the algebraic expression inside the parentheses. We must now take
the negative 3rd power of this result.
(a^3*b^2)^3 = a^9*b^6
Same-side interior angles form when a transversal intersects with two parallel lines, making the same-side interior angles supplementary.
O True
O False