Answer:
c = 5.5
Step-by-step explanation:
2 a + 5 c = 46.50
a + c = 15
a = 15 - c
2(15-c ) +5c = 46.50
30 - 2c +5c = 46.5
3c = 16.5
c = 5.5
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(1,-3) and (4,-6)
Step-by-step explanation:
The solutions are where the linear line intersects the graphed parabola.
(e) Dhanu plays with his model railway from 06 50 to 11 15. He then rides his bicycle for 3 hours. Find the ratio time playing with model railway : time riding bicycle. Give your answer in its simplest form.
Answer:
53:36
Step-by-step explanation:
53:36
265:180
The ratio of time Dhanu spent playing with model railway to the time riding bicycle is 53 : 35.
What is the ratio of the time spent playing with model railway to the time riding bicycle ?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Time spent playing with the model railway = 4 hours 25 minutes.
Converting the time to minutes = (4 x 60) + 25 = 265 minutes
Time in minutes spent riding a bicycle = 60 x 3 = 180
Ratio of the minutes - 265 : 180
53 : 35
To learn more about ratios, please check: https://brainly.com/question/25927869
is AC greater than, less than, or equal to BC? explain your reasoning
Answer:
AC is greater than BC
Step-by-step explanation:
First, we know that the angle of a straight line is 180°, so angle B as a whole is equal to 180 degrees. Therefore, angle YBC + angle ABC = 180 degrees. As angle YBC is a right angle, signified by the small square on the angle, it is 90 degrees. Therefore,
90 degrees + angle ABC = 180 degrees
subtract 90 degrees from both sides to isolate angle ABC
angle ABC = 90 degrees
Therefore, as angle ABC is equal to 90 degrees, and a right angle is 90 degrees, triangle ABC has a right angle, making it a right triangle.
In a right triangle, using the Pythagorean Theorem, the square of the side opposite the right angle is equal to the sum of the squares of the other side. Since side AC is opposite the right angle, we can say that
AC² = AB² + BC²
As the length of a side has to be greater than 0, we can say that
AC² = AB² + BC²
AB² > 0
AC² > BC²
square root both sides
AC > BC
Therefore, AC is greater than BC
3 1/2 divided by 2 1/6=
Answer:
21/13
Step-by-step explanation:
3 1/2 = 7/2
2 1/6 = 13/6
7/2 divided by 13/6
7/2 X 6/13 = 42/26 = 21/13
Answer:
Step-by-step explanation:
3 1/2 = 7/2 and 2 1/6 = 13/6
7/2 divided by 13/6 = 7/2 x 6/13
42/26
21/13 is your final answer.
Factor using the perfect squares method:
x^2 - 3x + 16
Answer:
what are the answer choice?
Step-by-step explanation:
which of the points lies on the curve y=x^3
Answer:
D
Step-by-step explanation:
Hello,
A: no since (1/3)^3=1/27 not 1/9
B: no since (-1)^3=-1 not 1
C: no since (-2)^3=-8 not -6
D: yes since (-1/2)^3=-1/8
Answser D
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
[tex](h,k+p)=(6,-4)[/tex]
On comparing both sides, we get
[tex]h=6[/tex]
[tex]k+p=-4[/tex] ...(ii)
Directrix at y=-7. So,
[tex]k-p=-7[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=-11[/tex]
[tex]k=\dfrac{-11}{2}[/tex]
[tex]k=-5.5[/tex]
Putting [tex]k=-5.5[/tex] in (ii), we get
[tex]-5.5+p=-4[/tex]
[tex]p=-4+5.5[/tex]
[tex]p=1.5[/tex]
Putting [tex]h=6, k=-5.5,p=1.5[/tex] in (i), we get
[tex]y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)[/tex]
[tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex]
Therefore, the equation of the parabola is [tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex].
Pls help before the clock hits 50 :(
Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: What is the average rate of change from x = -1 to x = 0
Answer:
-6
Step-by-step explanation:
what is the y-coordinate of the red point?
The y-coordinate of the red point is -3.
Does anyone know how to solve these?
Answer:
1st graph: slope is -1 and equation is y=-x+5
2nd graph: slope is 2/5 and equation is y=2/5x-3
Step-by-step explanation:
y=mx+b is slope-intercept form.
It's call that because this forn tells us the slope,m, and the y-intercept,b.
The first graph you have identified b as 5 since you said the y-intercept was (0,5).
Now we just find slope by finding rise/run.
(0,5) is marked and we see another point has been marked, I will start at (0,5) go down 2 and right 2. This means rise=-2 and run=2 which means the slope=-2/2 and that reduces to -1.
The equation for first graph is y=-1x+5 or y=-x+5.
So again you have no problem identifying the y-intercept which is b=-3.
Now just count the rise/run to the other point. Starting at y-intercept we have to go up 2 and right 5 to get to the other point so m=2/5.
Find the value of `x´ in the given parrallelogram.
Step-by-step explanation:
=> (3x-12) =(x+6)
or,3x - x = 6 + 12
or,2x = 18
or,x = 18/2
•: x=9#
Which of the following graphs represents the equation y-2 = 3(x - 1)?
Answer:
Graph B
Step-by-step explanation:
The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.
worth 10 points please help me ASAP!
Answer:
(-1,-1)
Step-by-step explanation:
If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).
18x-108
-----------
6x-54
simplify the expression
A.
B.
C.
D.
Answer:
3x-2
---------
x-1
Step-by-step explanation:
simplify 18x/6x = 3x/1x
simplify 108/54 = 2/1
3/4 - 5/8
can someone plz tell answer
Answer: 1/8
Step-by-step explanation:
Convert 3/4 so it has 8 as the denominator. 3/4 = 6/8. Now you can subtract. 6/8 - 5/8 = 1/8.
What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?
Answer:
[tex]y=3x-17[/tex]
Step-by-step explanation:
Parallel equations always share a slope.
So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]
[tex]-5=3(4)+b[/tex]
simplify both sides
[tex]-5=12+b[/tex]
isolate the variable
[tex]-17=b[/tex]
plug [tex]b[/tex] back into the equation and you get
[tex]y=3x-17[/tex]
Answer:
y = 3 x + 11
Explanation:
Parallel lines have the same slopes.
The slope of the new line will have the same slope as the given line:
y = 3 x − 4
⇒ m = 3
One point on the line is given,
( − 2 5 ) .
This is ( x 1 y 1 )
The formula for slope is
m = ( change in y values/ change in x-values ) = y 2 − y 1/ x 2 − x 1
If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.
y − y 1 = m ( x − x 1 )
y − 5 = 3 ( x − ( − 2 ) )
y − 5 = 3 ( x + 2 )
Simplify to get the required equation of the line.
y = 3 x + 6 + 5
y = 3 x + 11
Step-by-step explanation:
Find the other endpoint of the line segment with the given endpoint and midpoint. I
nearest tenth.
Endpoint (-8, 8) Midpoint (5,-3)
find the 9th and 15th terms of the following geometric sequence 2, -4, 8, -16
Step-by-step explanation:
given the geometric sequence 2, -4, 8, -16, ...
a1 = 2
r = -4/2 = -2
find : a9 and a15
solutions:
an = a1. r^(n-1)
=> a9 = 2. (-2)^(9-1)
= 2. (-2)^8
= 2. 2^8
= 2^9
= 512.
=> a15 = 2. (-2)^(15-1)
= 2. (-2)^14
= 2. 2^14
= 2^15
= 32,768
Step-by-step explanation:
Hey there!
The given geometric sequence is: 2, -4, 8, -16.
The;
a1 = 2
Common ratio (r) = T2/T1
= -4/2
= -2
Now;
Use general formula of geometric sequence;
[tex]tn = {a1.r}^{n - 1} [/tex]
Where, "a1" is first term, "n" is no.of terms and "r" is common ratio.
Then;
[tex]t9 = 2 \times { (- 2)}^{9 - 1} [/tex]
or, t9 = 2*256
Therefore, t9 = 512.
Again;
[tex]t15 = 2. { (- 2)}^{15 - 1} [/tex]
or, t15= 2*16384
Therefore, t15 = 32768.
Hope it helps!
What number, divided by 3/7 , will result in a value of 2 1/3?
10 points!!!!!:)
Describe the graph of the function.
[tex]y = \sqrt{x + 3} [/tex]
a). the graph is a radical function y=sqrt(x) shifted 3 units right.
b). the graph is a radical function y=sqrt(x) 3 units left.
c). the graph is of exponential growth.
d). the graph is an absolute value function with vertex (-3,0).
pls help me:).
Answer:
b) y=sqrt(x) shifted 3 units left
Step-by-step explanation:
3rd line in the attached table:
f(x+3) = sqrt(x+3) horizontal translation left 3 units
Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?
Answer: 7 hr
Step-by-step explanation:
Given
Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]
Speed of Emily [tex]v_e=12\ mph[/tex]
Speed of Kylie [tex]v_k=8\ mph[/tex]
Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]
Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]
[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]
They will meet after 7 hour.
Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?
Answer:
The probability that they each will catch 3 fish is 0.000063956
Step-by-step explanation:
The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes for both the population and sample.
Here
Population size= N =200
Sample size= n =9= (3*3)
Number of successes in population = k = 3 hours
Number of successes in sample = x= 3
Applying the hyper geometric distribution
P (x=3) = kCx *(N-k) C (n-x)/ N Cn
= 3 C 3 * 197 C 6/ 200 C 9
=0.000063956
The probability that they each will catch 3 fish is 0.000063956
A small point deduction applies if a participation activity's question is not answered correctly the first time?
Answer: False
Step-by-step explanation:
There is no such deduction when a participation's questions are not answered correctly the first time. Whatever answer is given is part of the learning curve and ensures that the activity can be improved upon.
Had there been a small point deduction then there would be no opportunity to learn because there would be too much fear associated with the wrong answer.
if$3=£2 and Rs. 325=$3, how many pound(£) will be equal to Rs. 39000
Answer:
Rupees 39,000 are
378.63 Pound sterling
Find the value of x. Round to the nearest tenth.
Answer:
x = 7
Step-by-step explanation:
First we find out what we are using sin,cos, or tan then we plug in the numbers
Sin 26 x 16 = 7
Can someone help me with this math homework please!
Answer:
11.2
Step-by-step explanation:
[tex]p =\frac{160.16}{14.3}=\frac{160.16*10}{14.3*10}\\\\p = \frac{1601.6}{143}\\\\[/tex]
p = 11.2
Answer:
The person above me is correct I just did the work and I got the same answer as them :)
Step-by-step explanation:
Find the circumference of this circle
using 3 for TT.
C = ?
[tex]{ \bf{ \underbrace{Given}}}[/tex]:
Diameter of the circle "[tex]d[/tex]" = [tex]36[/tex]
Value of [tex]π[/tex] = [tex]3[/tex]
[tex]{ \bf{ \underbrace{To\:find}}}[/tex]:
The circumference "[tex]C[/tex]" of the circle.
[tex]{ \bf{ \underbrace{Solution }}}[/tex]:
[tex]\sf\pink{The\:circumference \:"C"\:of\:the\:circle\:is\:108.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = 3 \times 36[/tex]
[tex] = 108[/tex]
Therefore, the circumference of the circle is [tex]108[/tex].
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Answer:
[tex]\Longrightarrow: \boxed{\sf{108}}[/tex]
Step-by-step explanation:
Apply the formula for the circle's circumference.
[tex]\text{Circumference circle formula:}[/tex]
[tex]\Longrightarrow: \sf{C=\pi d}[/tex]
[tex]\Longrightarrow:\sf{C=?}\\\\\Longrightarrow:\sf{\pi =3}\\\\\Longrightarrow:\sf{d=36}[/tex]
Multiply.
[tex]\sf{3*36=\boxed{\sf{108}}[/tex]
Therefore, the correct answer is 108.I hope this helps! Let me know if you have any questions.
A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Write your answer as a fraction in simplest form.
Answer:
Probability of the chosen T-shirt not being black will be equal to 9/10
Step-by-step explanation:
In order to solve this we need to understand that probaility is equal to the number of those outcomes that we want divided by the total number of outcomes. In our case the total number of outcomes is 20 (2 + 7 + 11) which is the total number of T-shirts, and the number of outcomes that are favorable to us is equal to 18 (outcomes without a black T-shirt). Therefor probability of the chosen T-shirt not being black will be equal to...
18/20 = 9/10
How do you work out the volume of a cube
Answer:
V=a cubed
Step-by-step explanation:
30 POINTS !!!
what is the total surface area of the square pyramid? 5in height abs 8in base
20
40
104
144
