Answer:
See explanation
Step-by-step explanation:
Anand = x
Sharma = x + 3
6 years ago
Anand = x - 6
Sharma = (x + 3) - 6
= x + 3 - 6
= x - 3
Sharma age = 4 (x - 6)
Six years ago Sharma's age was four times Anand's age.
x + 3 = 4(x - 6)
x - 3 = 4x - 24
x - 4x = -24 + 3
- 3x = - 21
x = - 21/-3
x = 7
Anand = x = 7 years
Sharma = x + 3
= 7 + 3
= 10 years
What is the answer????
Answer:
so to find the amount of meters in 24 hours we divided 180 by 24 which is 7.5 so the snail goes 7.5 meters in a hour so multipy 7.5 by 100 to get 750
so the snail goes 750 cm in a hour
Use an algebraic approach to solve the problem.
Abby has 37 coins, consisting only of dimes and quarters, worth $5.65. How many dimes and how many quarters does she have?
Answer:
13 quarters and 24 dimes
Step-by-step explanation:
13*.25=3.25
24*.1=2.4
3.25+2.4=5.65
If the sum of three consecutive integers is 36 what is the smallest integer?
Answer:
The smallest integer is 11.
Step-by-step explanation:
Let the first integer be x.
Then the second will be (x + 1) and the third will be (x + 2).
The sum is 36. Hence:
[tex]x+(x+1)+(x+2)=36[/tex]
Solve for x:
[tex]3x+3=36[/tex]
So:
[tex]3x=33[/tex]
Hence:
[tex]x=11[/tex]
Our sequence is 11, 12, 13.
So, the smallest integer is 11.
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 436 gram setting. It is believed that the machine is underfilling the bags. A 28 bag sample had a mean of 433 grams with a standard deviation of 23. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
There is no sufficient evidence
Step-by-step explanation:
The hypothesis :
H0 : μ = 436
H1 : μ < 436
Xbar = 433
s = 23
Sample size, n = 28
The test statistic :
(xbar - μ) ÷ (s/√(n))
(433 - 436) ÷ (23/√(28))
-3 ÷ 4.3465914
Test statistic = - 0.690
The Pvalue, calculated from test statistic value, df = n - 1 = 28 - 1 = 27
Pvalue = 0.248
Pvalue > α ; Hence, we fail to reject the null and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3
Answer:
What grade math is this??
Step-by-step explanation:
Answer:92.1
Step-by-step explanation:
A=78+4.5
A=92.137166941154
A=92.1
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
If p(x) = x^3 + 3x^2 - 2x + 4, then find the value of
p(2) + P(-2) - (0)
Answer:
the answers is =-0
Step-by-step explanation:
is -0
EASY GEOMETRY PLS HELP!!!! AREA IF parallelogram
Answer
80 m^2
Step-by-step explanation:
basically 10 x 8 plus the value
4(x+3) +m(x+3)
Please factorize
Answer:
4x+12+mx+3m
You use the FOIL method.
Answer:
(4+m)(x+3)
Step-by-step explanation:
x+3 is a common factor, so you can convert this to put the other 2 parts in a bracket. This results in (4+m)(x+3).
An example of how this works is if you made m=1 and x=2. This would make the original expression 4(2+3)+1(2+3), or 4×5+1×5, which is 5×5 or 25. (1+4)(2+3) also equals to 5×5.
**You may want to revise factorising algebraic equations. I'm always happy to help!
Item 8 You choose two different movies on a list at random. Out of 15 movies on the list, 9 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
Answer:
4/7
Step-by-step explanation:
Pr = Expected outcome/Total outcome
Since Total movies = 15
Total outcome = 15
If there are 9 actions movies
Pr(selecting the first action movie) = 9/15
Since the total remaining movies will be 14 (no replacement)
If the second movie is taken, Pr(second action movie) = 8/14 = 4/7
ASAP work pls answer
Can someone help me? It's urgent and thank you!
Answer:
35
Step-by-step explanation:
These 3 vacancies aren’t distinct. That means if Amy, Bob, and Carla were chosen, it is the same as Bob, Carla, and Amy are chosen and so on.
Therefore, we will use “choose.”
Solving, I get 7!/((7-3)!3!) = 7!/(4!3!) = (7*6*5)/(3*2*1) = 35.
I hope this helps! :)
One 15-year old tree makes enough paper for only 700 grocery bags. A busy grocery store can hand these out in about 1 hour. in 8 hours , this busy store consumed 5,600 grocery bags. How many 15-years old trees will it take to make all these bags?
need help༼ つ ◕_◕ ༽つ
Answer:
8
Step-by-step explanation:
if one tree equals 700 bags, then you would divide the amount of bags that were used, 5600, by 700 to get answer. 5600 divided by 700 = 8
Recall that the product (a + b)(a - b) is the
difference of squares, a2 - b2
Examine this same product for radical
expressions. Choose the product of (3+ square root of 7)(3- square root of 7)
Answer:
The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])
Step-by-step explanation:
With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².
In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².
Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].
**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!
The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
The difference of squares equation is given as:
[tex](a + b)(a - b) = a^2 -b^2[/tex]
And the radical expression is given as:
[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]
By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:
[tex]a =3[/tex]
[tex]b = \sqrt 7[/tex]
Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]
[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]
This gives
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]
By complete expansion, we have:
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
Hence, the equivalent expression is (c)
Read more about difference of two squares at:
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A question about the sequence.
Please answer right away
An art teacher and a math teacher challenge students in the eighth-grade class to make designs for note cards to sell as a class fundraiser. The rule is that each design needs to be created from congruent figures. Also, students need to
explain how their design follows the rule. Taryn says she used transformations to make her design. Which sequence of transformations maps Figure A onto Figure C?
What sequence of transformations maps Figure A onto Figure D?
Answer:
A to C
rotated 180° around the orign
Aand D
rotated 270° clockwise, or 90° counterclockwise, also around the orign
which of the following is equivalent to the product below? thank you for helping!
Answer:
C
Step-by-step explanation:
√9 = 3
3 • √5 • √2 = 3√10
Alternatively, √9 • √5 • √2 = √90 = 3√10
Answer:
C
Step-by-step explanation:
First, multiply all the square roots.
So, sqrt(9) x sqrt(5) x sqrt(2) = sqrt(9x5x2) =sqrt(90)
Think of two numbers that multiply to 90. One possible pair is 9x10.
So, sqrt(90) = sqrt(9x10)
Using the properties of surds,
Sqrt(9x10) = sqrt(9) x sqrt (10)
We know that sqrt(9) = 3
So, sqrt(90) = 3 x sqrt(10)
Hope this helps
Write an equation in slope-intercept form for the line with slope -1/3 and y intercept 2
Answer: y=-1/3x+2
Step-by-step explanation: The formula for slope intercept form is y=mx+b, where m is equal to the slope and b is equal to the x-intercept. Just fill in the values to get y=-1/3x+2
I'm struggling please help!
Factorise p2 - q2
I need help finding the answer please
p²-q²
p²-q²= (p+q)(p-q)
[by formula: (A+B)(A-B) = A²-B²]
Proof of the formula
Proof of the formula (A+B) • (A-B)
Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2
Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2
Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2
For the acute angles in a right triangle,
sin(5x)° = cos(3x + 10)°. What is the number of degrees in the measure of the smaller angle?
Answer:
answer for this solution is 10 degrees
Step-by-step explanation:
sin x + cos x = 90
5x + 3x +10 = 90
x = 10
What is the slope of the line that is perpendicular to the line that passes through (-3, 6) and (6, 8)?
Answer:
2/9
Step-by-step explanation:
y2 - y1 / x2 - x1
8 - 6 / 6 - (-3)
2 / 9
= 2/9
When you graph a system of linear equations, why does
the intersection of the two lines represent the solution of the system?
Every point on a line satisfies the related linear equation. A point that is on both lines (the intersection point) satisfies both equations.
Every point on a line does not satisfies the related linear equation
Every point on a line called slope of line.
Every point on a line called skew point.
Which is the graph of f(x) = (x + 3)(x - 2)?
Ty
2
4
8
o
- 4 2
4
HELP IM BEING TIMED
Answer:
the too left graph us the abswer,
Because
f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2
The graph of the function f(x) = (x + 3)(x - 2) is first graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.
First, to find the x-intercepts, we set y = 0 and solve for x:
(x + 3)(x - 2) = 0
This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.
Next, to find the y-intercept, we set x = 0 and evaluate:
f(0) = (0 + 3)(0 - 2) = -6
Therefore, the y-intercept of the graph is -6.
The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.
This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other
Hence, the graph of the function f(x) = (x + 3)(x - 2) is first graph.
To learn more on Graph click:
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how many sides does a 1,260 degree polygon have?
Please Help Me To Solve For X
Answer:
u & v = 8
Step-by-step explanation:
This triangle is a special 45-45-90 triangle!
In a 45-45-90 triangle, to solve for the hypotenuse use the formula
[tex]h=(sidelength)*\sqrt{2}[/tex]
Here we see that 8 is being multiplied by radical 2!
We can prove that 8 is the side length by using the Pythagorean Theorem!
Directions: Factor, write prime if prime
Q: 12x^2-9x+15
Someone help and QUICK!!!
Answer:
2x^2-9x+15
It is prime/unfactorable
Step-by-step explanation:
What is the answer. Do anything begging for help
Answer:what’s the question?
Step-by-step explanation:
Please helpppp for tan need help quick
Answer:
8/15Step-by-step explanation:
according to the Pythagoras theorem ,
SohCahToa
Soh - sine is opposite , hypotenuse
Cah -cos is adjacent , hypotenuse
Toa - tan is opposite, adjacent
from the diagram above , the tan is 8/15.
Hope this is helpful ,
have a nice day :-)
find the composition of transformations that map pqr to p'q'r translate, somebody help!?
Answer:
Translate 2 unit(s) to the right and then reflect over the x-axis
Step-by-step explanation:
You have to move the coordinates of P, Q, and R to the right by 2 so just add 2 to the x coordinate in order to to the first part of the transformation.
After that flip it so that y coordinate of the points are negative to the position they were after translating to the right.
After translating two units to the right, reflect over the x-axis.
What is translation in mathematics?A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) →(x + 5, y + 3).
Given
Simply add 2 to the x coordinate to complete the first phase of the transformation since you must move the coordinates of P, Q, and R to the right by 2.
Then reverse it so that the points' y coordinates are opposite to where they were before being translated to the right.
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