[tex]5x + 3y = 25 \\ 5x = 25 - 3y \\ x = \frac{25 - 3y}{5} \\ x = \frac{25}{5} - \frac{3y}{5} \\ x = 5 - \frac{3y}{5} \\ 3x + 4y = 26 \\ 3 (5 - \frac{3y}{5} ) + 4y = 26 \\ 15 + \frac{11y}{5} = 26 \\ \frac{11y}{5} = 26 - 15 \\ \frac{11y}{5} = 11 \\ \frac{5}{11} \times \frac{11y}{5} = 11 \times \frac{5}{11} \\ y = 5 \\ x = 5 - \frac{3y}{5} \\ x = 5 - \frac{3(5)}{5} \\ x = 2[/tex]
(x,y)—> (2,5)
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery?
4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
5. Three resistors with values of 3 Ω, 5 Ω and 7 Ω are connected in a circuit, as shown. When the switch S1 is in the position shown on the diagram only two resistors, R1 and R2, are connected to the 36 V battery and the current is I1. If the switch is moved to it’s down position the third resistor R3 is connected in series to R1, R2, and the battery, producing a current I2. Find the current reading of the ammeter, I1 and I2, for the two different switch positions.
what two fractions divided by each other equal 11/15
Answer:
11/9 and 3/5
Step-by-step explanation:
1st equation: 3n/5 = 11/15
multiply each side by 5/3 to get:
n = 55/45 or 11/9
2nd equation: 11n/9 = 11/15
multiply each side by 9/11 to get:
n = 99/165 which reduces to 3/5
Find the volume of each figure. Simplify your answers.
Please help ASAPPP
thank you so much!!!!
Answer:
231.556
simplifyed?: 232
50% of students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrease in the proportion of students who change their major after the first year in this program
Answer:
Hence, since z ( - 0.4 ) is greater than ( -1.65 );
we reject H₀, Null hypothesis,
Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program.
Step-by-step explanation:
Given the data in the question;
Let p = 50% = 0.5
Hypothesis;
Null hypothesis H₀ : p ≥ 0.5
Alternative hypothesis H₁ : p < 0.5
x = 48
sample size n = 100
sample proportion p" = x / n = 48 / 100 = 0.48
significance value = 0.5
[tex]Z_\alpha[/tex] = -1.65
Test Statistics;
z = (p" - p) / √( p( 1 - p ) / n )
we substitute
z = (0.48 - 0.5) / √( 0.5( 1 - 0.5 ) / 100)
z = -0.02 / √( 0.25 / 100 )
z = -0.02 / √0.0025
z = -0.02 / 0.05
z = -0.4
Hence, since z ( - 0.4 ) is greater than ( -1.65 );
we reject H₀, Null hypothesis,
Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program
Sorry I just needed help
A moving company charges $22.50 per hour plus a flat rate of $180 to help a person move from one house to another.
Joel would like to spend less than $315 to move.
How much time should Joel's move take to make sure the total cost is below $315?
help me plzzz plzzzzd
Answer:
C
Step-by-step explanation:
Answer:
D should be the right answer
Step-by-step explanation:
for the other choices the grammar doesn't sound quite right to me
Question 3 of 10
What type of angle is angle M?
Answer:
it is a right angle
Step-by-step explanation:
hope this helps
Answer:
right
Step-by-step explanation:
Angle M is a right angle...
which if u find u will get 90...
hi pls help i’ll give brainliest
Answer:
At the very tip of one of the spiral arms, at the edge of the milky way.
OR C
Forgive me if i'm wrong
...
Answer:
C. In one of the spiral arms, about halfway between the center and the edge.
Step-by-step explanation:
Our solar system is located in the Orion Arm which is halfway between the center and the edge of the Milky Way.
pls help me!!!!!!
ASAPPPPP
Answer: 1.185921/3
Step-by-step explanation:
Answer:
1/3 x 1/3 x 1/3 x 1/3 = 1/81
Step-by-step explanation:
You are multiply 1/3 by itself 4 times since it is to the power of 4.
There are 12 sixth graders, 11 seventh
graders, and 13 eighth graders on a
soccer team. The coach randomly selects
one student to collect all of the soccer
balls. In how many ways can choosing
not an eighth grader occur?
Answer: 1
Step-by-step explanation:
because there not the only ones on the team
Solve for r. Round to the nearest tenth of a degree, if necessary. P 5 3.1 Q R
Find the slope of the line.
(-2, 1)
)
(2, 1)
3-2-1
Answer:
(0-2)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero
Using the formula
m = (y2-y1)/(x2-x1)
= (1-1)/(2 - -2)
= 0/(2+2)
= 0/4
The class party started with five chocolate cakes cut in fourths as shown below in the example.
============================================================
Explanation:
One large square cake cuts into 4 smaller slices
Since we have 5 such cakes that are cut like this, we have 5*4 = 20 slices all together.
Count the number of dark shaded slices that are shown in the lower diagram. We have 4+3+4+2 = 7+6 = 13 slices of cake that are left over. This must mean the class ate 20-13 = 7 slices.
The fraction of the cakes eaten is 7/20
Notes:
7/20 = 35/100 = 0.35 = 35%The fraction 7/20 cannot be reduced further because 7 and 20 have no common factors other than 1.What’s #1?????? Plz help
Answer:
C) [tex]400\pi[/tex]
Step-by-step explanation:
The formula for area is
A=pi * radius ^2
If the diameter is 40, the radius is 20
Therefore
[tex]A=\pi 20^{2} \\A=\pi 400[/tex]
Answer the picture fast and correct
Answer:
8.75
Step-by-step explanation:
( 4×8) +3 = 35/4= 8.75
Answer:
8.75
Step-by-step explanation:
I think sorry that's only i know
which of the following numbers is divisble by 3,6 and 9 Answers: A- 648
B- 3854
C- 499
D- 330
Answer:
A. 648
Step-by-step explanation:
(648÷3) = 216
(648÷6) = 108
(648÷9) = 72
what is the domain of f(x) = - x2
Answer:
the domain is (-inf,inf)
Step-by-step explanation:
inf = infinity
Find x. Round to the nearest tenth
A: 5.0
B: 7.8
C: 3.9
D: 4.6
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )
6 × cos40° = x , then
x ≈ 4.6 ( to 1 dec. place ) → D
Explanation needed
find the image of (1 2) after a reflection about y=-1 followed by a reflection about y=1
Answer:
A‘‘ (1,6)
Step-by-step explanation:
after a reflection about a horizontal line the x coordinates remain the same
the middle point of the segment AA’ lies on the line so it has y = -1
so we have
(y+y’)/2 = -1
y’ = -2 -y
y‘ = -2 -2 = -4
so A‘ (1,-4)
we can use the same reasoning to find the reflection about y = 1
x‘ = x
(y + y’)/2 = 1
y‘ = 2+4
y’ = 6
A‘‘(1,6)
Simone is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is 4 ½ inches tall. How wide should the scale drawing be if the actual width is 48 meters?
Where is the blue dot located on the number line
===================================================
Explanation:
Use the midpoint formula to find the midpoint of -10 and -4
A = -10 = left endpoint
B = -4 = right endpoint
C = midpoint of A and B
C = (A+B)/2
C = (-10+(-4))/2
C = -14/2
C = -7
The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).
Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:
move from -10 to -13move from -13 to -16move from -16 to -19The blue dot is located at -19
BRAINLIEST FOR CORRECT ANSWER!! Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater. How far is the movie theater from Kenny’s home if he were to take a direct path?
Answer:
8.568cm
Step-by-step explanation:
IF Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater, his distance from home to the theatre is gotten using the pythagoras theorem as shown;
d² = 23² + 10²
d² = 529 + 100
d² = 629
d = √629
d = 8.568
Hence the required distance is 8.568cm
express (3-i)^2 in standard form
Step-by-step explanation:
=3^2- 2×3×i + i^2
=9- 6i + i^2
The perimeter of the hexagon is 24 m.
What is the value of x?
Answer:
3.5
Step-by-step explanation:
add the two 5 and then subtract the perimeter which is 24 , so 24-10 is 14 then divide it by 4 for the missing sides and u get 3.5
The value of x in the given hexagon is 3.5 m.
What is the Perimeter of Hexagon?
Perimeter of Hexagon is equal to sum of all sides.
Here, Two sides are 5 m long
and remains 4 sides have length x m.
Perimeter = Sum of all sides
24 = 2 X 5 + 4x
24 = 10 + 4x
4x = 24 -10
4x = 14
x = 14/4
x = 3.5 m
Thus, the value of x in the given hexagon is 3.5 m.
Learn more about Perimeter from:
https://brainly.com/question/6465134
#SPJ2
A plumber charges customers $45 for a service call plus $60 per hour of repair. The expression below can be used to determine the total dollar amount of charges based on h hours of repair.
45
+
60
h
Which expression can also be used to determine the total dollar amount of charges?
A.
105
h
B.
675
h
C.
15
(
3
+
4
h
)
D.
15
(
30
+
45
h
)
Answer:
,
Step-by-step explanation:
Write the expression with fewer terms:
10x 2x
Answer:
12x
Step-by-step explanation:
Combine Like Terms
10x + 2x = 12x
What Is The Area Of The Triangle?
Answer:
It's 35, I don't think you need an explanation but if you do ask!
65 +5.2(hour) which is the y-intercept
Answer:
65
Step-by-step explanation:
y = mx + b
b is the y-intercept
y = 5.2h + 65
65 is the y-intercept
7 1/2 divided by 3/4 =
Answer:
10
Step-by-step explanation:
[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]
[tex] \frac{60}{6} = 10 \\ [/tex]