Step-by-step explanation:
in this situation
A+B =D
Please help me with this problem.
Answer:
1/4a -1/6b + 1/10c
Step-by-step explanation:
1/2 a -1/3 b + 1/5c + -1/4a + 1/6 b - 1/10c
Combine like terms
1/2a - 1/4a -1/3b + 1/6b +1/5c - 1/10 c
2/4a -1/4a -2/6b + 1/6b +2/10c -1/10c
1/4a -1/6b + 1/10c
Let $x$ be the smallest number in the following list, and let $y$ be the second smallest number (that is, the smallest number other than $x$). \[ 5, \qquad -22, \qquad \frac{-4}{7}, \qquad \frac{-3}{-5}, \qquad 3, \qquad \frac{-8}{13} \]Find $\frac{x-y}{y}$. Express your answer as a fraction in simplest form.
Answer:
139/4
Step-by-step explanation:
and find that\[
\frac{4}{7}\cdot \frac{13}{13} = \frac{4\cdot 13}{91}=\frac{52}{91}, \text{and}
\]\[
\frac{8}{13}\cdot \frac{7}{7} = \frac{8\cdot 7}{91} = \frac{56}{91}.
\]Thus $\frac{8}{13}$ is larger than $\frac{4}{7}$, which tells us that $-\frac{8}{13}$ is smaller than $-\frac{4}{7}$. Thus, $x=-22$, $y=-\frac{8}{13}$, and\begin{align*}
\frac{x-y}{y}&=\frac{-22-\left(-\frac{8}{13}\right)}{-\frac{8}{13}}\\
&=\left(-22\cdot \frac{13}{13}+\left(\frac{8}{13}\right)\right)\cdot \left(-\frac{13}{8}\right)\\
&=\left(\frac{-286+8}{13}\right)\cdot \left(-\frac{13}{8}\right)\\
&=\left(-\frac{278}{13}\right)\cdot \left(-\frac{13}{8}\right)\\
&=\boxed{\frac{139}{4}}.
\end{align*}
1 pump can fill a pool in 8 hours the other pump can fill the pool in 10 hours if both of the pumps were turned on at the same time to fill the pool how long will it take
Answer:
4 4/9 hoursStep-by-step explanation:
In one hour pump1 can fill 1/8 of the tank and pump2 can fill 1/10 of the tank.
Two pumps can fill:
1/8 + 1/10 = 5/40 + 4/40 = 9/40 of the tank in one hourTime required to fill the tank:
1/(9/40) = 40/9 = 4 4/9 hoursa^4+b^4 phân tích thành nhân tử
a^4+b^4=(a^2)^2+(b^2)^2
=(a^2+b^2)^2–2a^2b^2
=(a^2+b^2)^2—(√ 2ab)^2
=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)
Must click thanks and mark brainliest
As an estimation we are told 5 miles is 8 km.
Convert 34.5 km to miles.
Answer:
The answer is 21.43731
Solve the system using the linear combination method.
first equation. 5 x plus y equals 5 second equation. 10 x plus 3 y equals 20
Answer:
y = 10 , x= -3
Note: I have never hears this called "combination method"
if you research this on-line it is typically called the "elimination" or the "addition" method.
Step-by-step explanation:
5x + y = 5
10x + 3y = 20
~~~~~~~~~~~~~~~~~~~~~
multiply top equation by -2
-10x + -2y = -10
10x + 3y = 20
y = 10
x= -3
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Answer:
1/36
Step-by-step explanation:
The only way of getting a total of 11 is rolling a 5 and a 6.
On each dice that is a 1/6 possibility
Multiply both possibilities to get 1/36.
Select all that apply.
What are the angle measures in a 30-60-90 right triangles?
90°
150°
60°
120°
30°
Answer:
90°,60°&30°
Step-by-step explanation:
A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.
Can someone help me with this pls??
9514 1404 393
Answer:
a < -5 or 11 < a
Step-by-step explanation:
For there to be two points of intersection, there must be 2 real solutions to ...
ax +9 = -2x^2 +3x +1
Rewriting to standard form, we have ...
2x^2 +(a -3)x +8 = 0
The discriminant of this equation is ...
B^2 -4AC = (a -3)^2 -4(2)(8) = a^2 -6a -55
We want this to be greater than 0. Factoring, we get ...
(a -11)(a +5) > 0
This will be true for values of a that are less than -5 or greater than 11.
__
The attached graph shows lines and their points of intersection for a=-6 and a=12. It is not hard to see that for slopes less steep than these values, the lines with a y-intercept of 9 may not intersect the parabola.
Write an equation of a line perpendicular to y = -1/5x + 5
that passes through the point (-1,-3)
Select one:
a. y = 5x + 2
b.y = 2x - 5
c.y = -5x - 5
d. y = -5x + 2
Please help me out . Find x please
Answer:
on my screen I cant see anything sorry!
Step-by-step explanation:
There are 8.54 grams of sugar in 7 servings of grapes. How many grams of sugar are in a single serving of grapes?
Answer:
1.22
Step-by-step explanation:
divide 8.54 by 7 to get one serving
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. q 10 in.
Answer:
B) 8in
Step-by-step explanation:
Two traffic lights both turn green at 1:20 pm. One light is on a 72-second 0cycle from green back to green while the other light is on a 1-minute cycle. After how many minutes will they again turn green together?
Answer:
32
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
1 minute = 60 seconds
LCM of 60 and 72 = 360
360 seconds = 6 minutes
The ratio between the distances of two cities from a third city is 7:8. If the total distance is 150 km, what are the distances of the two cities from the third one?
Answer:
70km and 80km
The option you chose is correct
Answer:
70 km and 80 km.
First city:
[tex]{ \tt{ = \frac{7}{15} \times 150 }} \\ = 70 \: km[/tex]
Second city:
[tex]{ \tt{ = \frac{8}{15} \times 150}} \\ = 80 \: km[/tex]
sing white and red paint, which two mixtures result in the same shade of pink?
Answer:
B & C
Step-by-step explanation:
Mixture B:
4 white 2 red
Mixture C:
Divide the whole paint combinations by 2:
2 white 1 red
In that case, you are simply making less, but still have the same ratios. They are proportionate.
Happy learning!
--Applepi101
how many times are fives subtracted from 15 to get 0?
Answer:
3 times
I hope this will help you
PLEASE HELP ME HERE!!
Answer:
Step-by-step explanation:
(1). Maryam's answer is correct.
(2). x = 2
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=-x-1
y= x+3
A. (0,3)
B. (-2,1)
C. (-1,2)
O D. (0, -1)
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
PLEASE HELP ME!!!!! ( photo given )
Answer:
-6, 0
Step-by-step explanation:
since the first question is a inverse function, the -15 isn't an x value anymore so it is a y.
the second question is the same thing for the 4 because it is an inverse function. so that would be -11, and the function of 9 you would look at the x value of 9 and find the corresponding y, which 11. so -11+11 =0
SOMEONE HELP ME PLEASE
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.
Answer:
It's a combination, BUT...
Step-by-step explanation:
Definition: A combination is a grouping of outcomes in which the order does not matter. That's the difference between combination and permutation.
Combination Formula: nCr = (n!)/[r!(n-r)!)] where n stands for number of things and r the pair chosen
Applied to this case: We have n=5 (12345) and r=5 for the 5-digit lock combination.
5C5 = (5!)/[5!(5-5)] = 1
But!! As you can see, we cannot have 1 possible combinations so.. We have to assume that this is a permutation!!! Conceptually, this looks pretty much like a combination, but being the same range as number of items, we conclude that it's a permutation.
Permutation Formula: nPr = (n!)/(n-r)!
nPr = (5!)/(5-5)! = 120
Well, this looks way more accurate now, right?
Final Answer: The scenario involves a permutation, and there's 120 possible combinations of those 5 numbers in a 5-digit lock.
Please help urgent!!! Find the value of x in the triangle shown below!
Answer:
Step-by-step explanation:
so we know a few things about t his triangle, it's a special one :P , it's called isosceles because two of the legs are the same length, which also mean that the angle x is the same at the other unknown angle sooo there are 2 x's if that makes sense? and then we can solve this , b/c we also know that the interior angles of a triangle add up to 180°
180 = 32 + 2x
148 = 2x
74 =x
∠x = 74°
mathematics question
Answer:
it's option B the second one
Solve the following quadratic function
by utilizing the square root method.
y = 100 – x2
Answer:
x = ± 10
Step-by-step explanation:
To solve the equation let y = 0 , that is
0 = 100 - x²( add x² to both sides )
x² = 100 (I take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
Then solution is x = - 10, x = 10
Answer:
10
Step-by-step explanation:
the guy on top put -10 he's right but it's just 10
y = 5x + 9 (-2, -3) pls help me
Answer:
Not a solution.
Step-by-step explanation:
y = 5x + 9
-3 = 5(-2) + 9
-3 = -10 + 9
-3 ≠ -1
The point given is not on the line. It is NOT a solution to the equation.
Hope this helps.
Simplify as far as possible;
x²+ 3x²-4x²+5x
Answer:
5x
Step-by-step explanation:
[tex] {x}^{2} + {3x}^{2} - {4x}^{2} + 5x \\= 4 {x}^{2} - 4 {x}^{2} + 5x \\ = 5x[/tex]
a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball
Answer:
7/12
Step-by-step explanation:
Total = 10W+14R
probability of red = R/total
10+14 = 24 so total = 24
R = 14
14/24
reduce (divide by two on the top and bottom)
14/2
-------
24/2
= 7/12
Guys Help me
Does (4, 7) make the equation y = 2x + 7 true?
Answer:
false
Step-by-step explanation:
x=4andy=7
2×4+7 isnot equal to 7
Answer:
Tue equation is
y=2x+7
So, the answer is
(2,7)
And (4,7) is wrong
6. If the zeros of a quadratic funtion, f(x), are -2 and 6, what is the equation of the axis of
symmetry of f(x)?
ints
a. X= -2
b. X= 2
c. X= 4
d. Cannot be determined
Answer:
B
Step-by-step explanation:
We are given a quadratic function f(x) whose zeros are at x = -2 and x = 6.
And we want to determine its axis of symmetry.
Recall that a parabola is symmetric about its axis of symmetry.
Therefore, the axis of symmetry is directly in the middle of the two roots.
Find the average of the roots:
[tex]\displaystyle x=\frac{(-2)+(6)}{2}=\frac{4}{2}=2[/tex]
Hence, the axis of symmetry is x = 2.
Our answer is B.
In general, if we are given the two zeros p and q of a quadratic and we want to find the axis of symmetry x, it is given by:
[tex]\displaystyle x = \frac{p+q}{2}[/tex]
!!Plz urgent help!!
this triangular prism can contain that holds beads that are spherical and each 0.525 cm. How many
beads can fit inside this container?
Will mark brainliest
Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(BC)[/tex]
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base = [tex]\frac{1}{2}(5)(12)[/tex]
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead = [tex]\frac{4}{3}\pi r^{3}[/tex]
= [tex]\frac{4}{3}\pi (0.525)^{3}[/tex]
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
