Answer:
Let the number of courses that are worth 3 credits each be x and those worth 4 credits be y. With the given information, you can write the following equations:
x + y = 48
3x + 4y = 155
You can solve the above equations by method of elimination/substitution
x + y = 48 ⇒ x = 48 - y (Now, substitution this equation into 3x + 4y = 155)
3(48 - y) + 4y = 155
144 -3y + 4y = 155
y + 144 = 155
y = 11
Now plug this solution back into x = 48 - y
x = 48 - 11 = 37
Check work (by plugging the solutions back into the 3x + 4y and see if it's equal to 155):
3(37) + 4(11) = 155
Answer: There are 37 of the 3-credit course and 11 of the 4-credit course
Please help! Determine whether the conjecture is true or false and put an example on why it is
Answer:
Step-by-step explanation:
The first one is true. There can't be any other choice.
a = 5959599949 b = 0 then a*b = 0 because b = 0
The Second one is also true, although you may stall trying to figure out what is meant.
Suppose the angle to start with is 30 degrees
There are two angles that are supplementary to this angle. They can only be 180 - 30 = 150 each. Therefore they are equal to each other. This happens because supplementary angles must add to 180 and nothing else.
The third one is false. You can think of states like Montana which has 3 syllables and Wyoming which also has 3. Texas has two. But guess what? Maine only has 1.
The last one is also false. If you square an even number, you get an even number. Add 1 and you get an odd number. 4^2 = 16 Add 1 you get 17. Seventeen is odd.
Which side of the pentagon on the right corresponds to
side KJ on the pentagon on the left.
Answer:
side st.Step-by-step explanation:
st corresponds to kj since a it has five sides.7. 20x + 10 = 110
a. X= 1
b. X= 5
c. x= 12
Answer:
b x=5
Step-by-step explanation:
20x+10=110
20x+10-10=110-10
20x/20=100/20
x=5
Answer:
x=5
Step-by-step explanation:
20x + 10 = 110
Subtract 10 from each side
20x +10-10 = 110-10
20x = 100
divide by 20
20x/20 =100/20
x= 5
Please help me l am in many problem please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
Answer:
Answer for g
Step-by-step explanation:
i think its this way because i dont know the question
Suppose an average student can answer 6 homework questions in 30 minutes. If X follows an exponential distribution and measures the length of time between starting two homework questions. What is the value of μ?
Answer:
10
Step-by-step explanation:
Make a ratio like
6 : 30
2 : x
Then cross multiple
6x = 60
Make x subject formula
x = 10
I hope it helped
-3/4÷-1/2
pls help armieee
Answer:
exact form : 3/2
decimal form 1.5
mixed number form 1 1/2
the height of a tree is 170m the lower and upper bound of it's height is
9514 1404 393
Answer:
[165, 175) meters
Step-by-step explanation:
The rule with respect to questions like this is that the bounds are ±1/2 of the place value of the least-significant digit. Here, the integer portion of the number has trailing zeros, and there is no decimal point or fractional part. Ordinarily, this combination of characteristics would signal that the trailing zeros are not significant, so the only significant digits are 1 and 7. The place value of the least significant digit is 10, so the bounds on the measurement are this number ±1/2(10) = ±5.
Of course, 175 rounds up to 180, so the upper bound is a limit, rather than an actual value. The height should be interpreted in this context as ...
165 m ≤ height < 175 m
The lower and upper bounds are 165 m and 175 m, respectively.
_____
Additional comment
The best way to avoid any ambiguity as to whether trailing zeros are significant is to use scientific notation. If a zero in the ones place is significant, that is conventionally indicated by a decimal point: "170.". If scientific notation is used, the number would be reported as 1.70×10² to indicate the trailing zero is significant.
For reference, Earth's tallest tree is a redwood just under 116 meters high.
A refrigerator magnet uses five eights of an inch of magnetic tape how many refrigerator magnets can you make with 10 inches of magnetic tape
ANSWER: You can make 16 refrigerator magnets.
If you divide 10 by 5/8, you multiply by the reciprocal of 5/8 which is 8/5. You have 8/5 x 10. Cross simplify and you have 16.
Which expression describes this graph?
A. x -5
B. x -5
C. x < -5
D. x > -5
Answer:
C
Step-by-step explanation:
The equation that described the graph is x<-5
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters and 12 centimeters. The distance between the bases is 10 centimeters.
What is the surface area of the triangular prism?
210 square centimeters
318 square centimeters
360 square centimeters
468 square centimeters
Answer:
Step-by-step explanation:
Area of base = 0.5×9×12 = 54 cm²
Hypotenuse of base = √(9²+12²) = 15
Lateral surface area = 10(9+12+15) = 360 cm²
Total surface area = 2×54 + 360 = 468 cm²
The height of a triangle is 5 yards greater than the base. The area of the triangle is 273 square yards. Find the length of the base and the height of the triangle.
Answer:
Base = 21 while Height = 16
If sam runs 63,756 feet in 70 min what's his miles per hour
Answer:
10.35 miles per hr
Step-by-step explanation:
first convert ft into mi
then calculate the distance traveled in one min
multiply the answer by 60
then you get the answer
What is the product?
(-2a² + s) (5a^2 - 6s)
Answer:
10a²+17a²s-6s²
Step-by-step explanation:
(-2a²+s)(5a²-6s)
= -10a²+12a²s+5a²s-6s²
= -10a²+17a²s-6s²
Answer:
b
Step-by-step explanation:
Out of a total of 10 college textbooks estimate the standard deviation of their ages if the oldest textbook is known to be 7.9 years old and the newest textbook is 1.3 years old.
A. 0.5 years
B. 1.1 years
C. 2.3 years
D. 2.9 years
E. 3.3 years
Answer: The answer is D 2.9 years
Step-by-step explanation:
(3+4i)^2
(2+4i)(7-8i)
Answer:
10 (-61 + 102 i)
(3 + 4 i)^2 (2 + 4 i) (7 - 8 i)
Step-by-step explanation:
(3 + 4 i)^2 (2 + 4 i) (7 - 8 i)
10 (-61 + 102 i)
r = 50 sqrt(565) (radio), θ = π - tan^(-1)(102/61) (ángulo)
50 sqrt(565) (cos(π - tan^(-1)(102/61))+i sin(π - tan^(-1)(102/61)))
50 sqrt(565) e^(i (π - tan^(-1)(102/61)))
x^2 + 1220 x + 1412500
if 4x-5y=6 and xy=8 then find the value of 16x^2+25y^2
Answer:
Hello,
356
Step-by-step explanation:
[tex]4x-5y=6\\xy=8\\\\(4x-5y)^2=16x^2+25y^2-40xy\\\\\\16x^2+25y^2=(4x-5y)^2+40xy=6^2+40*8=356\\[/tex]
Need to be in order Smallest to biggest question.
Want to check if my answers are right.
Answer:
a49%, 1/2,0.55,3/5
b)0.2,1/4,27%,3/10
c)9/10,95%,0.99,97/100
d)30%,1/3,0.6,2/3
e)0.09,10%,11/100,0.125
if the cost price of 18 cycles is equal to selling price of 16 cycles .find the gain or loss percentage
Answer:
Gain%=12.5%
Step-by-step explanation:
I ASSUMED COST PRICE=Rs.100
Reflect figure E across the x-axis and then reflect across the y-axis. What is the resulting figure?
rectangle D
B
rectangle B
9
rectangle C
10
rectangle A
Answer:
2nd option, rectangle B
Step-by-step explanation:
After reflexion, the figure will be at the left side of x=-5
2/c = 4/9
(these are fractions btw)
Answer:
2/9
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Intro to Translations
Acellus
Find the image of the given point
under the given translation.
P(-1,2)
T(x, y) = (x + 2, y - 4)
P' = ([?], [])
Enter the number that belongs
in the green box.
Answer:
(1,-2)
Step-by-step explanation:
P(-1,2) and (x, y) -> (x + 2, y - 4). Plugging in x and y in the transformation, the transformed points are (-1+2, 2-4) = (1,-2)
Look at the image for the question.
Answer:
38 cm^2
Step-by-step explanation:
The surface area of a rectangular prism is
SA = 2(lw+wh+lh) where h is the height l is the length and w is the width
SA = 2( 3*1 + 3*4+4*1)
= 2(3+12+4)
= 2(19)
= 38 cm^2
solve for P assume that none of the denominators are equal to 0
Kl=y(f/p+n + r/u)
Step-by-step explanation:
KI=yf/p+n + yr/u
(p+n) KI - yrp/u -yrn/u = yf
pKI - yrp/u = yf - nKI + yrn/u
p(KI - yr/u) = yf - nKI + yrn/u
p = (1/KI-yr/u)(yf-nKI+yrn/u)
Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation
Answer:
x = 2 is the solution to x + 1.5 = 3.5
Step-by-step explanation:
x + 1.5 = 3.5
-1.5 -1.5
--------------------
x = 2
A clothing store is having a sale on shirts and jeans. Four shirts and two pairs of jeans cost $78. Three shirts and five pairs of jeans cost $111. The system of equations
4s + 2j = 78
3s + 5j = 111
models this situation, where s is the cost of a shirt and j is the cost of a pair of jeans. How much does one shirt and one pair of jeans cost?
Answer:
One shirt is $12 and one pair of jeans is $15
Step-by-step explanation:
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -4:
12s + 6j = 234
-12s - 20j = -444
Add these together, and solve for j:
-14j = -210
j = 15
So, a pair of jeans is $15. Plug in 15 as j into one of the equations and solve for s:
3s + 5j = 111
3s + 5(15) = 111
3s + 75 = 111
3s = 36
s = 12
One shirt is $12 and one pair of jeans is $15.
How do we solve this?
It asks for partial derivative, and you have to derive it with respect to 'y' variable.
[tex]f_y(x,y)=\frac{\partial f}{\partial y}=\frac{\partial}{\partial y}( 6x+2y+4)=2[/tex]
HELP! What is the probability of randomly picking a green marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
Answer:
2/5
Step-by-step explanation:
For probability, it's the
number of the type you want
_______________________
the total number of items
So the equation for this would be
10/10+10+5
= 10/25
= 2/5
The final answer is 2/5. Keep in mind that probability is a ratio of likeliness between things, so you CANNOT write it as a decimal!
I hope this helped! :D
compare the following rational number
[tex] \frac{4}{5} and \frac{7}{5} [/tex]
Answer:
7/5 is greater than 4/5
Answer:
[tex]\frac{4}{5}[/tex] < [tex]\frac{7}{5}[/tex]
2x + 5y = 10 into slope- intercept form
Answer:
y=-2x+10
Step-by-step explanation
Hope this helped
how many solutions?
y−2=x
−x=2−y
Answer:
infinite
Step-by-step explanation:
the first equation (y-2=x) becomes y=x+2 when you add 2 to both sides
the second equation (-x=2-y) also becomes y=x+2 when you add y and x to both sides
-x = 2-yy-x=2y=x+2since both equations are the same the number of solutions is infinite
