Answer:
Step-by-step explanation:
Let the total current = 12A
If there are there lamps 6.0 Ω, 4.0 Ω and 2.0 Ω in series,
a) The total resistance in series connected circuit will be:
Rt = R₁+R₂+R₃
Rt = 6+4+2
Rt = 12Ω
b) According to ohm's law, the voltage drop is expressed as V = IR
I is the current in each lamps
Note that the same current flows in the resistors for series connection
R are the resistances
For the 6Ω, resistor
V = IR
V = 12(6)
V = 72V
The voltage drop across it is 72V
For the 4Ω, resistor
V = IR
V = 12(4)
V = 48V
The voltage drop across it is 48V
For the 2Ω, resistor
V = IR
V = 12(2)
V = 24V
The voltage drop across it is 24V
How do you find the y- intercept of a line? please explain by using the example above.
Answer:
12
Step-by-step explanation:
2+6x=x-1 need help to solve
Answer:
[tex]x=-\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]2+6x=x-1[/tex]
[tex]2+6x-2=x-1-2[/tex]
[tex]6x=x-3[/tex]
[tex]6x-x=x-3-x[/tex]
[tex]5x=-3[/tex]
[tex]\frac{5x}{5}=\frac{-3}{5}[/tex]
[tex]x=-\frac{3}{5}[/tex]
Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
Answer:
[tex] \frac{12}{7} [/tex]
Step-by-step explanation:
Side length of red ∆ = 12
Side length of blue ∆ = 7
Given that the red ∆ is similar to the blue ∆, therefore the ratio of their corresponding sides = the ratio of their perimeter.
The ratio of the perimeter of red ∆ to perimeter of blue ∆ = side length of red ∆ / side length of blue ∆
[tex] = \frac{12}{7} [/tex]
The ratio (red to blue) of the perimeters of the similar triangles is 12:7
Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.
Perimeter of a triangle = s1 + s2 + s3
For the red triangle;
Perimeter of the red triangle = 12 + 12 + 12
Perimeter of the red triangle = 36
For the blue triangle:
Perimeter of the blue triangle = 7 + 7 + 7
Perimeter of the blue triangle = 21
Taking the ratio of their perimeters;
Ratio of red to blue = 36:21 = 12:7
Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7
Learn more here: https://brainly.com/question/15046223
The points (6,r) and (9, 9) lie on a line with slope 5. Find the missing coordinate r.
Answer:
r = -6
Step-by-step explanation:
Use the slope formula and solve for r.
slope = y2 -y1
x2 -x1
Since you know all the numbers except for r, plug everything in and you get:
5 = 9 - r
9 - 6
So then do the arithmetic, you find that 9 - r = 15. So r must = -6.
X
0
1
2
3
4
g(x)
---3
--1
1
3
What is the slope of the f function?
What is the slope of the g ?
What function has the greater slope ?
Answer:
doh as djdjndjejehehdhdhdhdhehenejenenejenejenenenejrenenenenenenenenennenejeuehenejeiebenrkrbrndornrjebeydhrjjrhrhrhrb4hrhrhr
Step-by-step explanation:
rhdhdhuridnfhdjjdjfkf
match each product to the equivalent expression written as a sum
Answer:
12+6 = 6(2+1)
16+4=4(4+1)
12+8=4(3+2)
18+12=6(3+2)
Step-by-step explanation:
Answer:
12+6 = 4(3+2)
16+4=4(4+1)
12+8=6(2+1)
18+12=6(3+2)
Step-by-step explanation:
PLEASE HELP ME!!?!?!??!?
Answer:
y=2 is the slope
Step-by-step explanation:
Need help on math question
Answer:
x=1, y=-1
Step-by-step explanation:
x intercept, y=0, x=1
y intercept, x=0, y=-1
If the average grade of an English class rose from 70 to 85, what is the approximate percent increase?
The percent increase is approximately 14%
The percent increase is approximately 17%
The percent increase is approximately 21%
The percent increase is approximately 35%
Answer:
the third answer, 21%
Step-by-step explanation:
the change was 15% and the original was 70 so,
15/70
=.21
.21*100=21%
Answer:
c
Step-by-step explanation:
Identify each pair of congruent vertical angles.
Please help :) I’ll give out brainliest to the first person who answers!
Answer:
1 and 6
2 and 5
4 and 7
3 and 8
10 and 12
9 and 11
Step-by-step explanation:
20 p − 4 ( 3 p − 6 ) = 8 ( 3 p − 6 ) − 16 p
Give steps to please !!!!
Answer:
5.5
Step-by-step explanation:
20p-4(3p-6)=8(3p-6)-16
20p-12p+24=24p-48-16
8p+24=24p-64
+64 on both sides
8p+88=24p
-8p on both sides
88=16p
/16 on both sides
answer = 5.5
I HONESTLY DONT UNDERSTAND THIS ONE> I HAVE NO IDEA WHAT TO DO> HELP ME PLEASE
Answer:
C
Step-by-step explanation:
320 yards is converted into 920 feet which is the faster route than all the other routes converted to feet
Find the product.
(-4)(3) =
Answer:
(-4)(3) = -12
Step-by-step explanation:
Open brackets. -4 x 3 = -12
Since it's multiplication, number doesn't matter (whether bigger or smaller), it depends on whether it is the only sign with a negative sign or not.
Factors:
- x - = +
- x + = -
+ x + = +
(x = */ multiply)
Hope this helped :)
If the probability of a chance event is 0.67, it is less likely to happen than which of the following probabilities of another chance event?
0.65
0.76
0
0.61
please help, i will give brainliest!
....i cant even read it
⊂∫⊃
Is this function linear or non linear (look at photo)
Answer:
Linear
Step-by-step explanation:
The x value side goes up by 7 while y values are going down by 5. Its a constant proportionality of 7 and 5.
A square has a side length of 5 1 4 inches. What is the area of the square?
Answer:
264.196
Step-by-step explanation:
514 times 514 = 264.196 = area of the square
Last week, Kimi spent $181.91 at the grocery store on Monday. Then she spent another $186.40 on Friday. How much did Kimi spend at the grocery store last week?
Answer:
$368.31
Step-by-step explanation:
In order to determine the amount that Kimi spent at the grocery store last week, you need to add the amount she spent on Monday plus the amount she spent on Friday:
$181.91+$186.40=$368.31
According to this, the answer is that Kimi spent $368.31 at the grocery store last week.
Help I will give you brainliest if it’s correct!! Thank you....
Answer: Alternate exterior angles
Explanation: 1 and 2 are on opposite of the lines and is on the 'outside'
Answer:
I think its "B" but i dont know if you got A and C wrong but if i was you i will go with "B". Never mind the other guy says its D and i think he is correct.
Step-by-step explanation:
Question is in the pic I need a right answer asap
answer:
yes
the lines are parallel to each other!
explanation:
hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
A theater is tracking the number of adults and children in the audience at
various shows. The table shows how the number of adults and children
are related
Select the equation that matches the relationship.
X+y = 1000
X-y1000
y-x= 1000
Y= 1000xc
Adults
Children
500
500
450
550
400
600
350
650 I Need help i dont understand!!!!!!!!
Answer:
The correct option is;
x + y = 1000
Step-by-step explanation:
The data from the table can be presented as follows
Adults (x) [tex]{}[/tex] Children (y)
500 [tex]{}[/tex] 500
450 [tex]{}[/tex] 550
400 [tex]{}[/tex] 600
350 [tex]{}[/tex] 650
Therefore, we have the rate of change of the children, y to the adults, x, which is also the slope of the graph of the data given as follows;
The slope, m = dy/dx = (650 - 500)/(350 - 500) = 150/(-150) = -1
m = -1
The function of the graph in point and slope form, using the first point, becomes;
y - 500 = -1 × (x - 500) = -x + 500
∴ y - 500 = -x + 500
y + x = 500 + 500 = 1,000
Which gives
y + x = 1,000
y + x = x + y = 1,000
In a survey of 300 people, 25% chose chocolate chip as their favorite ice cream flavor. How many people chose chocolate chip? *
A. 25
B. 150
C. 175
D. 75
Answer:
D. 75
Step-by-step explanation:
300 divided by 25% = 75
300 divided by 4 = 75
25% is 1/4 so thats why i used 4 and 25%
If x = 1, what is the value of y given 2x + 2y = 18?
Answer:
y=8
Step-by-step explanation:
2(1)+2y=18
2+2y=18
minus 2 from both sides
2y=16
divide by 2 from both sides
y=8
Answer:
y=8
Step-by-step explanation:
1. If x is equal to 1, 2x is just 2.
2. We can subtract the 2 we already have. 18-2=16
3. 2y=16, divide by 2 on both sides.
y=8
If the discriminant of a quadratic equation is 8, which statement describes the roots?
O There are two complex roots.
O There are two real roots.
O There is one real root.
O There is one complex root.
Answer:
There are two real roots
Step-by-step explanation:
From the value of the discriminant b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then 2 complex roots
Here b² - 4ac = 8 > 0 , then there are two real roots
Which expression is equivalent to -0.2 - 4.9
Answer: 0.2- -4.9
Step-by-step explanation:
When u see a negative number change it to a positive to make it equivalent
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at
a constant speed.
In kilometers, how far did Jada run in 60 minutes?
Answer
9 Kilometers
Step-by-step explanation:
Jada ran 3 kilometers in 20 minutes
3 in 20 converting that to 60 for the question you would need to triple that
Giving you 9 in 60 minutes
Solve the following algebraic equation. Show each step of the process. (10 points)
1/4(y+24)= 32
Answer:
y=104
Step-by-step explanation:
1/4(y+24)= 32
y+24=128
y=128-24
y=104
a line is defined by the equation y=2/3x-6. The line passs through a point whose y-coordinate is 0. What is the x-coordinate of this point?
Answer:
The answer would be 0 because it passes through
Step-by-step explanation:
I need help anyone please???
Answer:
D
Step-by-step explanation:
Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets
for $76. Write a system of equations to represent the situation. How many adult tickets and
student tickets were purchased
Answer:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
Write the problem as an equation like this
11x+7x=76
Now make an equation for the number of purchased tickets. Let x be adult and y be students.
x+y=8
Rewrite x + y = 8 as y = -x +8
Substitute y = -x + 8 into the first equation for y.
11x+7(-x+8)=76
11x+(-7x)+56=76
solve for 11x+(-7x)
4x+56+76
subtract 56 from both sides
4x=20
Divide both sides by 4
X=5
x + y = 8
5 + y = 8
y = 3
5 Adult tickets were purchased and 3 student tickets were purchased.