Answer:
a,6. b, 6 c, -4.5. d, -9
Step-by-step explanation:
a, -3*-2
3*2. b/c of -ve * -ve is positive the answer comes 6
b, same as a
c, -3*1.5
- 4.5
d, -3*3
- 9
how to do precentiges
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?
Please try as much as possible to explain your answers.
Answer:
19
Step-by-step explanation:
(48 - 23) + 6 = 31
23 - 6 = 17
(48 - 23) -6 = 19
The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
It is given that:
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
Based on the information we can draw a Venn diagram:
From the Venn diagram:
A + B = 17 + 6
A + B = 23
B = 6
A + B + C = 48
A = 23 - 6 = 17
C = 48 - 17 - 6
C = 25
The total number of pupils who only study Government = 25
The total number of pupils who study Government = 25 + 6 = 31
The total number of pupils who study Economics only = 17
Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
Learn more about the Venn diagram here:
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help me
The fire department is setting off fireworks. They notice that the casings of the fireworks hit the ground 78 seconds after the firework was launched. The firework exploded at a maximum height of 760.5 meters.
Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation. (Hint: You may want to rewrite the equation in equivalent forms.)
The firework is an illustration of the equation of a parabola.
The x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)
The casings hit the ground after 78 seconds.
This means that, a point on the graph is:
[tex]\mathbf{(x,y) = (78,0)}[/tex]
The firework exploded at a maximum of 760.5.
This means that, the vertex is:
[tex]\mathbf{(h,k) = (39,760.5)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{0 = a(78 - 39)^2 + 760.5}[/tex]
[tex]\mathbf{0 = a(39)^2 + 760.5}[/tex]
Subtract 760.5 from both sides
[tex]\mathbf{a(39)^2 =- 760.5}[/tex]
[tex]\mathbf{1521a =- 760.5}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{760.5}{1521}}[/tex]
[tex]\mathbf{a =- 0.5}[/tex]
Substitute [tex]\mathbf{a =- 0.5}[/tex] and [tex]\mathbf{(h,k) = (39,760.5)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex]
See attachment for the graph of [tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex].
From the graph:
The x and y intercepts are the points where the graph crosses the x and y axes. The vertex is the maximum point on the graphFrom the equation:
Set x to 0, to calculate the value of y for the y-interceptSet y to 0, to calculate the value of x for the x-intercept.The vertex is represented as: (h,k)Hence, the x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)
Read more about parabolas at:
https://brainly.com/question/5430838
Izzati, Ai Ling, Rina and Susan share some stamps. Izzati and Ai ling take 1/4 and 1/8 of the total number of stamps respectively. After that, Rina takes 7/10 of the remaining stamps. Eventually, all the remaining stamps are taken by Susan. If Susan gets 42 stamps, find the total number of stamps originally.
Step-by-step explanation:
Assuming that the total stamp is x
According to the question
Izzati's stamps is 1/4
Ailing's number of stamps is 1/8
X= 1/4 x 1/8 = 5/8 - the remaining stamps.
Rina’s number of stamps is 7/10 x 5/8 = 35/80 x
5/8 x 35/80 = 15/80 - (Susan's stamps)
According to the question
15/80 = 42
X: 224
the total number of stamps originally is 224.
RAMPS Rodney is rolling marbles down a ramp. Every second that passes, he measures how far the marbles travel. He records the information in the table shown below.
Make a conjecture about how far the marble will roll in the fifth second.
Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm
Setting up a proportional relationship :
Second = S Distance = dThe common difference between each roll can be obtained thus :
d2 - d1 = d3 - d2 = d4 - d3
60 - 20 = 100 - 60 = 140 - 100
40 = 40 = 40
Hence, the common difference = 40
The distance obtained on the fifth roll :
d(5) = d(4) + common difference
d(5) = 140 + 40
d(5) = 180
Therefore, the distance obtained on the fifth roll is 180 cm
Learn more :https://brainly.com/question/18796573
Q is a degree 5 polynomial that passes through the origin, has zeros i and 7 - i, and q(-1)= -520. find the equation for q
Using the factor theorem, the equation for q is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, ..., x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
Passes through the origin, so x = 0 is a zero, that is [tex]x_1 = 0[/tex].x = i is a zero, and thus, it's conjugate also is, that is, x = -i, hence [tex]x_2 = i, x_3 = -i[/tex]x = 7 - i is a zero, and thus, it's conjugate also is, that is, x = 7 + i, hence [tex]x_4 = 7 - i, x_3 = 7 + i[/tex]Then, the equation is:
[tex]q(x) = a(x - 0)(x - i)(x + i)(x - 7 + i)(x - 7 - i)[/tex]
[tex]q(x) = ax(x^2 - i^2)((x-7)^2 - i^2)[/tex]
Considering that [tex]i^2 = -1[/tex]
[tex]q(x) = ax(x^2 + 1)(x^2 - 14x + 50)[/tex]
[tex]q(x) = ax(x^4 - 14x^3 + 51x^2 - 14x + 50)[/tex]
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
q(-1) = -520 means that when [tex]x = -1, q = -520[/tex], and this is used to find a.
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
[tex]-520 = a(-1 - 14 - 51 - 14 - 50)[/tex]
[tex]130a = 520[/tex]
[tex]a = \frac{520}{130}[/tex]
[tex]a = 4[/tex]
Hence, the equation is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
A similar problem is given at https://brainly.com/question/24380382
Find the y intercept for the equation of the line that passes through point (-1 , 5)if the slope is 5
Answer:
the y-intercept is 10
Step-by-step explanation:
Please help me on these :(
Step-by-step explanation:
8) 125=x+90° (exterior angle= sum of two opposite interior angle)
x= 35°
9) y=80° ( vertically opposite angle)
x= 180-50-80= 50°.
hope this helps you.
Brainiest?!?! Please help me I'm running out of time??
What is the solution to the equation? ^5 /x+ 7= -2
Answer:
x=19/2
Step-by-step explanation:
5/x+7=-2
5=-2(x+7)
5=-2x-14
5+14=-2x
19=-2x
Therefore
2x=-19
x=19/2
A gardener wants to build a fence around his
square garden. He only has 64 feet of fencing
material. Which inequality shows all the side
lengths, x, that the fence could have?
Answer:
64 = 4x
64 divided by the total sides the garden has, 4
Bath and Body Works is having a special promotion on fall candles. Every 12th guest is receiving a free pumpkin scented candle and every 36th guest is receiving a free Carmel waffle scented candle. Which number of guests will receive both the pumpkin and caramel waffle scented candles?
Answer:
i d k but now i want candles from bath and body works
Step-by-step explanation:
The sum of two numbers is 70, and their difference 30. Find the two numbers using the process of substitution. Let the first umber = x and the second number = y.
Answer:
x = 50, y = 20.
Step-by-step explanation:
x + y = 70
x - y = 30
From the second equation x = 30 + y, so substituting this in the first equation:
30 + y + y = 70
2y = 70 - 30 = 40
y = 20
and x - 20 = 30
so x = 50.
Answer:
20 , 50
Step-by-step explanation:
The sum of two numbers is 70 ⇒ x + y = 70 -------------(I)
x = 70 - y
Their difference 30 ⇒ x - y = 30 ----------(II)
Substitute x = 70 - y in equation (II)
70 - y - y = 30
Combine like terms
70 - 2y = 30
-2y = 30 - 70
-2y = -40
Divide both sides by (-2)
y = -40/-2
x = 20
Substitute the value of x in (I)
20 + y = 70
y = 70 - 20
y = 50
Solve 3x^2+ 5 = 2 using square roots
Answer:
[tex]x=\pm i[/tex]
Step-by-step explanation:
[tex]3x^2+5=2[/tex]
[tex]3x^2=-3[/tex]
[tex]x^2=-1[/tex]
[tex]x=\pm i[/tex]
4.51 - 2.7 MARKING BRAINLIEST AND PLEASE EXPLAIN:)
Answer:
1.81
Step-by-step explanation:
becase 4.51 -2.7 equls 1.81 its kinda simple
Answer:
Answer is 1.81
Step-by-step explanation:
The way you get this is by subtracting normally.⤵⤵⤵
[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]
1 - 0 = 1
Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .
It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.
Hope this helped :)
Use number line to compare the numbers
0 and - 60
Which shows the correct symbol to compare the numbers?
=
>
Answer:
0 > -60
Step-by-step explanation:
Every negative number is less than 0
Can anyone help me ?
Answer:
x=7.5
Step-by-step explanation:
15÷2=7.5
help with the geometry pls and thx
Answer:
1. p->q
2. p<->q
3. :.p^q
Step-by-step explanation:
I hope this will help you
The sum of the first n terms of a sequence is Sn = n(n + 1)(n + 2).
What is the 4th term of the sequence?
O 48
O 120
O 60
O 396
Answer:
60
Step-by-step explanation:
S₄ = 4(4+1)(4+2) = 120
S₃ = 3(3+1)(3+2) = 60
4th term = 120-60=60
What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?
the heights in cm of some pupils are 138 119 182 174 142 117 152 152
mean; 147
median; 147
mode; 152
Johnny is saving money to buy a Nintendo Switch. He already has $100 saved. He plans to save $20 from his allowance each week. Write the equation that represents the total savings, y, in terms of x weeks. What is Johnny's total savings after 8 weeks?
Answer:
1. y=20x+100(this is the equation)
2. 260(this is how much he has after 8 weeks)
Step-by-step explanation:
Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].
Johnny is saving money to buy a Nintendo Switch.
He already saved the amount of $100.
He plans to save from his allowance each week is $20
The equation that represents the total savings is mentioned below.
[tex]y=20x+100[/tex]
Therefore, Substitute the values and solve them further.
[tex]y= (20\times 8) + 100[/tex]
[tex]y= 260[/tex]
Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]
For more details refer to the link given below:
https://brainly.com/question/7965246
hii i need help! write the inequality represented by the graph below.
Quis
Jika
A= 2
B= 3
D=2
maka
A x B ÷C
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Is light respiration beneficial or harmful to plants?
Answer: Even thought it’s the ultimate substrate it can be harmful to plants
Step-by-step explanation: it also reduces glucose for cellular respiration
Work out 1.6 X 10⁴ + 0.8 X 10⁴.
math work
Answer:
2.4× 10^4
Step-by-step explanation:
you just sum 1.6 with 0.8
[tex]2.4 \times {10}^{4} [/tex]
Mike has 7 friends. Each friend has 109 baseball cards. How many cards do they have in all?
They have _______ baseball cards.
Answer:
They have 763 baseball cards in total
Step-by-step explanation:
7×109=763
Answer:
They have 763 baseball cards in total (BRANILIST PLEASE!!!!)
Step-by-step explanation:
You just multiply the number of friends with the number of cards each person has.
pls help
Given the first term and the common difference of an arithmetic sequence, find the
explicit formula, then find the term named in the problem.
Answer:
Step-by-step explanation:
an (the nth term ) = a1 + d(n - 1)
= 6 + 3(n - 1).
a17 = 6 + 3(17-1)
= 6 + 48
= 54.
#2
Are the following triangles similar?
Please help!!
Answer:
Yes
Because
[tex] \frac{pn}{kr} = \frac{pt}{kg} = \frac{tn}{gr} = \frac{1}{2} [/tex]
Also all angles are equal
Answer:
Yes
Step-by-step explanation:
Angle are equal and the ratio of the sides is 2:1.
−3x+9−2x=−12−5x infinitely,no solutions,one solution
Answer:
No solution
Step-by-step explanation:
Each side of the equation,once distributed, has 5x.
The 5x's cancel out to x= x-5
Which is incorrect and has no solution.