Answer:
B.
Step-by-step explanation:
A = C = 40°
40+40+ 4x = 180
4x = 100
x = 25°
Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What fraction of the 400 counters is left in Ben’s bag? Give your fraction in its simplest form. (With workings out)
Answer:
2/5
Step-by-step explanation:
subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5
Answer: 2/5
Step-by-step explanation:
Ben gives 35 to Sonia, 130 to Phill, 75 to Lance, in total he gives away 240 counters. the fraction of the counters left in his bag would be 400-240 which is 160 and so his fraction would be 160/400 and this in simplest form would be 8/20 if you divide by 20 and then to simplify that you can divide by 4 to get 2/5
Which statement forms part of cell theory?
A.
Cell organelles are capable of reproducing themselves.
B.
Cells differ in shape, but they have identical components.
C.
All cells begin life as prokaryotic cells.
D.
All living things are made up
of cells.
Answer:
D. All living things are made up of cells.
Step-by-step explanation:
D. All living things are made up of cells.
O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.
The cell theory states that;
O All living organisms are made up of cells and they may be unicellular or multicellular.
O The cell is the basic structural and functional unit of life.
Cells arise from pre-existing cells.
I need help with this question can anyone help?
Answer:
the answer is 6 just check it
Find the 10th term of the geometric sequence 1, 3, 9, .
Answer:
19683
Step-by-step explanation:
As the formula of the geometric sequence:
[tex]a_{n} =a_{1} *r^{n-1}[/tex]
In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:
[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]
Hope this helps!
Simple question
Just don’t know how to put it in
please :))
Answer:
A. 102
B. 78
Step-by-step explanation:
mEG = 360 - 258 = 102°
m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°
please give answer please please please
Answer:
3/8
Step-by-step explanation:
for the number 1 on spinner a there are 4 possibilites.
same goes for 2,3 and 4. all in all, there is 32 posibilities total.
for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.
in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.
12/32=3/8
Answer:
Its 3/8
Step-by-step explanation:
Rachel, Mario and Sanjit share some money in the ratios 4:3:9
Mario receives £96.
Work out the difference between the amount received by Rachel and the amount
received by Sanjit.
Answer:
£160.
Step-by-step explanation:
Mario receives 3 / (4+3+9) = 3/16 of the money.
So by proportion the total amount of money
= 96 * 16/3 = £512
So Rachel receives 4/16 = 1/4
= 512 / 4
= £128.
- and Sanjit receives 9/16
= 512 * 9/16
= £288
The difference is 288 - 128 = £160.
How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?
Answer:
D = 13 units
Step-by-step explanation:
Using Distance Formula to find the length.
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]
D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13 units
Answer:
i think its 13
Step-by-step explanation:
i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13
What is the divisble test for 861?
Answer:
7 is the correct answer
Lisa works 6 hours at $13.75 per hour. How much does she earn?
Answer:
$82.50
Step-by-step explanation:
Given that the unit rate is $13.75 per hour,
1 hour -----> $13.75
6 hours -----> $13.75 x 6 = $82.50
Here is a map of a town. It has a scale of 1 : 200,000. A centimetre ruler is shown on the map. What is the real-life distance between the park and the theatre? Give your answer in km.
Answer:
6km
Step-by-step explanation:
==>Given:
Map scale = 1 : 200,000
Distance on map between the park and the theatre = 3cm
==>Required:
Real life distance between the town and the theatre in km
==>Solution:
Note: the map scale given means 1cm on the map represents 200,000 cm in real life.
For a map distance of 3 cm between the town and the theatre, the real life distance would be:
3 × 200,000 = 600,000 cm
=>Convert to km
Thus, 100,000cm = 1km
Therefore, 600,000cm = 6km
Real life distance between the town and the theatre = 6km
f f(x) = 3(x + 4), find f(2).
Answer:
f(2) = 18
Step-by-step explanation:
To evaluate f(2) , substitute x = 2 into f(x), that is
f(2) = 3(2 + 4) = 3 × 6 = 18
the subject of the formula below is y. y = 2x - pq rearrang the formula to make x the subject PLS HELP I NEED IT NOW FOR MINECRAFTS SAKE ME WANNA PLAY BUT ME NEED THE QUESTION PLS
Answer:
I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a
Answer:
2x=y
Step-by-step explanation:
Done
Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of Z when X equals four and Y equals nine
A: 2/3
B: 16/3
C: 8/3
D: 24
Answer:
B
Step-by-step explanation:
Set up the equation
z = [tex]\frac{kx^2}{y}[/tex]
Plug in the numbers to find the value of k
3 = [tex]\frac{k(2^2)}{4}[/tex]
12 = 4k
3 = k
Solve to find the value of z
z = [tex]\frac{3(4^2)}{9}[/tex]
z = [tex]\frac{3(16)}{9}[/tex]
z = 48/9
z = 16/3
WORKSHEET-1
1. Solve the following equations
a) 2x+5 = 1
Answer:
x = -2
Step-by-step explanation:
2x + 5 = 1 ( subtract 5 from both sides )
2x = 1-5
2x = -4 ( divide both sides by 2 )
2x ÷ 2 = -4 ÷ 2
x = -2
Answer: x = -2
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.
Since 5 is being added to 2x, we subtract 5
from both sides of the equation to isolate the 2x.
On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.
So we have 2x = -4.
Now we can finish things off by just
dividing both sides of the equation by 2.
On the left, the 2's cancel and on the right, -4 divide by 2 is -2.
So x = -2.
obi's age is twice oba's age 4 years ago obi was three times as old as oba. find their ages
Answer:
Obi's age is 18 and Oba's age is 9
Step-by-step explanation:
Let Obi's age be x and Oba's age be y
Condition 1:
x = 2y -----------(1)
Condition 2:
(x-4) = 3(y-4)
=> x -4 = 3y-12
=> x - 3y = -9 -----(2)
Putting eq (1) in (2)
2y - 3y = -9
=> -y = -9
=> y = 9
Now,
x = 2y
=> x = 2(9)
=> x= 18
Answer:
[tex]8\\4[/tex]
Step-by-step explanation:
Obi's age is [tex]x[/tex].
Oba's age is [tex]2x[/tex].
4 years ago, Obi's age was [tex]x-4[/tex].
4 years after, Obi's age is [tex]2x-4[/tex]
3 times more than Oba's, so [tex]3(x-4)[/tex]
[tex]2x - 4 = 3( x - 4)[/tex]
[tex]2x - 4 = 3x-12[/tex]
[tex]2x - 3x = -12+4[/tex]
[tex]-1x=-8[/tex]
[tex]x=8[/tex]
[tex]x-4\\(8)-4=4[/tex]
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1 = 0? 2x - y - 4 = 0 2x + y - 4 = 0 2x + y + 4 = 0
Answer:
2x + y - 4 = 0
Step-by-step explanation:
slope = -2
y = mx + b
2 = -2(1) + b
4 = b
y = -2x + 4
2x + y - 4 = 0
Answer:
the answer is 2x + y - 4 = 0
Step-by-step explanation:
me and my friend did the math and got 2x + y - 4 = 0
130 apples at the party. There were 3 times as many yellow apples as green apples, there were twice as many red apples as yellow apples. How many red apples were at the party
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78
How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
[tex]x^2+y^2=363[/tex]
And the second equation is:
[tex]x-y+1=0[/tex]
From the second equation, we have:
[tex]y = x + 1[/tex]
Using this value of y in the first equation, we have:
[tex]x^2 + (x+1)^2 = 363[/tex]
[tex]x^2 + x^2 + 2x + 1 = 363[/tex]
[tex]2x^2 + 2x= 362[/tex]
[tex]x^2 + x - 181 = 0[/tex]
Calculating the discriminant Delta, we have:
[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]
We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
[tex]x^2+y^2=36[/tex]
[tex]3x-y+1=0[/tex]
We would have:
[tex]y = 3x + 1[/tex]
[tex]x^2+(3x+1)^2=36[/tex]
[tex]x^2+9x^2+6x+1=36[/tex]
[tex]10x^2+6x-35=0[/tex]
[tex]\Delta = 36 + 1400 = 1436[/tex]
We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.
Correct option: C.)
Answer:
A. 0
second part: C. The boats' paths do not cross each other
Find the area and perimeter of the composite shape..
Area: 68
Perimeter: 50
Find x. I need it ASAP
Answer:
x = 27°
Step-by-step explanation:
Because of the two parallel lines, we can conclude that
corner DAB = corner FDE = 2x
In ∆DAB
Corner DAB = 2x
Corner BDA = 2x (given)
Corner ABD = 72 (given)
The sum of three corners in any trianle, adds up to 180°.
So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.
For each corner that is 108/2= 54
so corner BDA = 54° and also corner DAB = 54°.
Given was BDA = 2x and BDA = 54°
so 2x = 54°
then x = 27°
Simplify the following expression. It’s for my math assignment, please help.
Answer:
[tex]3t^9[/tex]
Step-by-step explanation:
Image attached below.
Ryan is making pancakes for the Drama Club's pancake breakfast. The table below shows the amounts of pancake mix and milk needed to make enough pancakes to feed different numbers of guests. If there are 63 guests at the breakfast, how much pancake mix and milk are needed? Show your work. (BRAINLIEST FOR FIRST ANSWER)
The amount of mix would be 16 and the amount of milk would be 8 work is in the picture
What is the product of the binomials (4a – 1) and (2b + 3)?
Answer:
8ab+12a-2b-3
Step-by-step explanation:
(4a–1)(2b+3)
Use the FOIL method:
First: 8ab
Outer: 12a
Inner: -2b
Last: -3
8ab+12a-2b-3
The / that is measured at 220° is a reflex angle. The opposite angle is obtuse. Find the measure of obtuse /.
Answer:
140
Step-by-step explanation:
Sum of angles around a point = 360
So, if one angle 8 reflex and measures 220, it’s adjacent side measures.
360-220 = 140.
Hope this helps.
Good Luck
Help Idk what this is ASAP
Answer:
A
Step-by-step explanation:
Reflected across the x-axis => but then moved up 4 units
this makes it in a way "flipped"
We see a's coordinates = (-3, 3)
b's coordinates = (-1, 1)
c's coordinates = (-2, 3)
Hope this helps!
Answer:
Choice A
Step-by-step explanation:
Step 1 - reflection across x-axis, affects y-coordinate only
(x, y) ⇒ (x, -y)Step 2- 4 units up, affects y-coordinate only
(x, -y) ⇒ (x, -y+4)So for the given points we have:
A(-3, 1) ⇒ A'(-3, -1+4)= A' (-3, 3)B(-1, 3) ⇒ B'(-1, -3+4)= B' (-1, 1)C(-2, 1) ⇒ C'(-2, -1+4)= C' (-2, 3)Choice A is correct
Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Translated up by 1 unit 2. y = (x - 1)2 + 1 Translated left by 4 units 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Reflected over the x-axis 6. y = (x + 3)2 Reflected over the y-axis
Answer:
1. [tex]y = - (x - 1)^{2}[/tex], Reflected over the x-axis.
2. [tex]y = (x - 1)^{2} +1[/tex] , Translated up by 1 unit.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis
4. [tex]y = (x - 2)^{2}[/tex] ,Translated right by 1 unit.
5. [tex]y = (x - 1)^2 - 3[/tex], Translated down by 3 units
6. [tex]y = (x + 3)^2[/tex], Translated left by 4 units.
Step-by-step explanation:
Given that:
Parent function: [tex]y = (x - 1)^{2}[/tex] Please refer to attached Graph4.
1. [tex]y = - (x - 1)^{2}[/tex] Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.
2. [tex]y = (x - 1)^{2} +1[/tex]: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis, please refer to attached Graph4.
4. [tex]y = (x - 2)^{2}[/tex] : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.
5. [tex]y = (x - 1)^2 - 3[/tex], 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.
6. [tex]y = (x + 3)^2[/tex], 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.
Answer:
the other guys answer
Step-by-step explanation:
sorry we have been about your car extended warranty this is are last call
2) Calculate the distance between the two points, and round your answer
to the nearest tenth: (8,5).(-1,3)
Your answer
Answer:
6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm
Find the range of values for which
x2–5x + 6 < 0
here, we are required to find the range of values for which
The range of values for which x²–5x + 6 < 0
is at; x < 3
x2–5x + 6 < 0
By solving the expression quadratically; we have;
x² -3x -2x +6 < 0
By factorization;
(x - 2)(x - 3) < 0
Therefore;
x < 2 and x < 3.The range of values for which x²–5x + 6 < 0
is at;
x < 3
Read more:
https://brainly.com/question/24434501
Does the table represent a function?(Only 2 hours to answer!)
Answer: (a) Yes. The table is a function.
Step-by-step explanation:
In order to be a function, there cannot be any duplicate x-values.
In the given table, each x-value is different so this IS a function.