Answers
Answer:
(x + 3.5 ) / (x - 4 ) = 20 / 8
8x + 28 = 20x -80
12x = 108
x = 9
Step-by-step explanation:
Related Questions
The perimeter of the rectangle below is 94 units. Find the value of x.
Answers
Answer:
The value of x = 9 units
Step-by-step explanation:
The complete question is attached to this solution.
The perimeter of a rectangle is given as
P = 2 (L + B)
L = Length of the rectangle = 3x - 1
B = Breadth of the rectangle = 2x + 3
P = Perimeter of the rectangle = 94 units
94 = 2 [(3x - 1) + (2x + 3)]
3x - 1 + 2x + 3 = (94/2) = 47
5x + 2 = 47
5x = 47 - 2 = 45
5x = 45
x = (45/5) = 9 units
Hope this Helps!!!
help pls!!!! Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxes of nails Peter will get if he buys n boards. If each box has 100 nails, explain how to write an expression to find how many nails Peter will have if he purchases 90 boards.
Answers
Answer:
x=1/5n
a=1/5(90)*100
The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.
Write them in a standard form.
Answers
The equation turns into:
400+70+6+0.6+0.03+0.07
which equals:
476.637
The second equation becomes 4+ 68/1000, which becomes 4.068.
Hope this helps!
You are having a small party and the Pizza driver drops
off 5 Pizza's. They are all cut into eighths. You also
have 3 slices left over in your fridge from the night
before. Write how much pizza you have as an
improper fraction(Remember that an improper
fraction has the numerator larger than the
denominator)
Answers
Answer:
43/8
Step-by-step explanation:
5*8=40
40+3=43
There are 8 slices per pizza so the answer would be 43/8
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Answers
Answer:
a) 6
Step-by-step explanation:
Expanding the polynomial using the formula:
[tex]$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $[/tex]
Also
[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
I think you mean [tex]210x^6y^4[/tex]
We can deduce that this term will be located somewhere in the middle. So I will calculate [tex]k= 5; k=6 \text{ and } k =7[/tex].
For [tex]k=5[/tex]
[tex]$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$[/tex]
Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just [tex]x^{n-k} y^k[/tex]
For [tex]k=6[/tex]
[tex]$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$[/tex]
For what values of a the following expressions are true: |a|=−a
Answers
Answer:
Any negative number and 0 works for the expression.
Step-by-step explanation:
Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.
Let's try a random positive number in the expression
[tex]|6| = -(6)\\6 \neq -6[/tex]
So this positive number doesn't work, let's just test with another one.
[tex]|9| = -(9)\\9 \neq -9[/tex]
So we know that positive numbers won't work with this expression.
Let's test 0 quickly, just to make sure.
[tex]|0| = -0\\0 = 0[/tex]
So 0 works.
Let's try a few negative numbers now.
[tex]|-5| = -(-5)\\5 = 5[/tex]
So yes, this does work. Let's try one more negative number.
[tex]|-120| = -(-120)\\120 = 120[/tex]
This works. So, every negative number and 0 work with this equation.
Hope this helped!
Answer:
|a|=−a is true only if a is negative or zero
Step-by-step explanation:
Recall that absolute values are always 0 or positive.
|a|=−a is true only if a is negative or zero.
Each group of students receives a bag that has 9 red cubes, 5 green cubes, and 11 blue cubes. If each group makes 1000 pulls and replaces the cube after each pull, how many times would you expect them to draw a blue cube?
Answers
Answer:
440 times
Step-by-step explanation:
First you need to find the total number of cubes each student recieves (25)
Now you put it into a ratio 11 : 25
After that make another ratio with 1000 and solve for x
x : 1000
25x = 11000
x = 440
Answer:
440 blues
Step-by-step explanation:
9 red cubes, 5 green cubes, and 11 blue cubes = 25 cubes total
P( blue) = 11/25
To find out how many blue cubes are expected, take the probability and multiply by the number of draws
11/25 * 1000 draws
440 blues
Which of the following theorems verifies that DEF= XYZ?
Answers
Answer:
The correct answer is D: LL ( Leg-Leg Congruence)
Step-by-step explanation:
Theorem 4.6 Leg -Leg Congruence said that if the legs of one right triangles are congruent to the corresponding legs of another right right, then the triangles are congruent.
So in this case we can tell that both triangle are congruent by Leg-Leg Congruence due to the tick marks we have on both of the legs on the two triangles.
Answer:
The answer is LL
Step-by-step explanation:
thats what i got
The exponent on b when b^3 is multiplied by b^3 is
Answers
Answer:
6.
Step-by-step explanation:
When b^3 is multiplied by b^3, the bases are the same (b). That means that the exponents are added to each other. 3 + 3 = 6, so b^3 * b^3 = b^6.
Hope this helps!
Answer:
6
Step-by-step explanation:
b³ · b³ = ( b³ )² = b⁽³⁾⁽²⁾ = b⁶
hence the exponent is 6
help I will mark you brainly
Answers
Answer:
Hi there!!
The answer would be x=20 and y= 10 root 3 or on decimal it's 17.32.
explanation look in picture, alright.
I hope it will help u....
Answer:
x = 20
y = 10√3 or 17.3
Step-by-step explanation:
This is a special 30° 60° 90° right triangle
In this special triangle if the side length that sees 30° is represented by x and its given as 10 the side length that sees 90° would be twice of it so it's represented by 2x = 20 and the side length that sees 60° is x√3 = 10√3
Help me ASAP for this question
Answers
Answer:
b
Step-by-step explanation:
to solve a problem like this you need to set up a proportion
45% is a percent(obviously) so you put 45 over 100 because percent's are fractions of 100
the key word is the word is. i don't kow about anyone else but i was taught is over of(is/of)
this means 27 is the numerator
27/x=45/100
10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH.
1. Y= 2X + 3
2. Y = 34 X-2
Answers
Answer:
slope: 1.) 2 ,,, 2.) 3/4
y-int: 1.) (0,3) ,,, 2.) (0,-2)
graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2
Step-by-step explanation:
heeeeeeeeeeeeeeeeelp
Answers
EXPLANATION:
The x value of a point where a vertical line intersects a function represents the input for the output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more that one input.
Rate Problems:
3. Potomac Paddleboards rents paddleboards for $15 plus $4.50 per hour (no partial hours). How many hours
can you rent a paddleboard if you want to spend no more than $42?
Define variable:
Equation:
Solution:
how do i solve this?
Answers
Equation - 15+ 4.5x =42
Solution- x=6
15+ 4.5x =42
4.5x = 27
X=6
May someone help please fast! Thanks!
Answers
Answer:
10m
Step-by-step explanation:
We can set up an equation to solve this.
[tex]\frac{20}{25} =\frac{8}{x}[/tex]
This equation can be created since we are given two similar sides of both triangles.
Now, cross multiply and simplify to solve for [tex]x[/tex].
[tex]20x=200\\x=10[/tex]
The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.
Therefore, the value of [tex]x[/tex] is 10m.
Which points are solutions to the system of inequalities shown below? Check all that apply!
Answers
Answer:
y>x+4 (A,B)
y≤3x (B,C,D,E,F)
x≥7(A,B,D)
i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!
the water was pumped out of a backyard pond. what is the domain of this graph?
A all real numbers less than or equal to 8
B all positive real numbers
C Real numbers from 0 to 8
D all integers less than or equal to 8
Answers
Answer:
C. Real numbers from 0 to 8
Step-by-step explanation:
Given:
The graph above
Required
Determine the domain of the graph
The first step is to get the range of the depth of the pond
[this is plotted along the y axis]
The highest plot on the y axis is 95 and the least is 0
The next is to determine the corresponding time for the value listed above
When y = 95, x = 0
When y = 0, x = 8
The domain is x: 0 to 8
From the list of given options, option C correctly answers the question.
Figure
(С Е
Which combinations of transformations will always produce congruent figures? Check all that apply.
a dilation, followed by a rotation
a reflection, followed by a dilation
a rotation, followed by a translation
a translation, then a rotation, followed by a stretch
O a translation, followed by two reflections
O O O O O
Answers
Answer:
a rotation, followed by a translationa translation, followed by two reflectionsStep-by-step explanation:
The rigid motions are the transformations that produce congruent images.
There are three main kinds of rigid motions :
Reflections : Flips a figure across a line of reflection. Rotations : Rotates a figure about some degrees around a center point. Translations : Moves figure on a plane about some distance in a certain direction.But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.
So, the options having dilation and term "stretch" cannot produce congruent figures.
Hence, the correct options are :
a rotation, followed by a translationa translation, followed by two reflectionsIf w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1? A) -2 2 - (-8) + 1 B) -2 2 - 8 + 1 C) (-2) 2 - (8) + 1 D) (-2) 2 - (-8) + 1
Answers
Answer:
The answer is D.
Answer: D) (-2)*2 - (-8) +1
Step-by-step explanation:
w = -2.
so the w2 is equal to -2*2
v = -8
so -v + 1 = -(-8) + 1
Put it together and you get (-2)*2-(-8)+1
the parentheses are needed for the first -2 because other wise it'd be -(2*2) instead of (-2)*2
what is the product of the reciprocal of 5,the reciprocal of 18, and the reciprocal of -3 please provide a explanation :)
Answers
Answer:
1/5, 1/18, and 1/-3
Step-by-step explanation:
a reciprocal reverses a fraction
for example:
5=5/1
reciprocal=1/5
hope this helps:)
Answer:
1/5, 1/18, -1/3
Step-by-step:
The simple answer is just to to make that number under one.
Example: 5 is the reciprocal then 1/5 was the start number. Vise-versa. Hope this helps!
4-2b>(6-b) whats the answer this is algebra 1 solving inequalities with variables
Answers
Answer:
b<-2
Step-by-step explanation:
4-2b > (6-b)
4-2b > 6-b
-4 +b -4 +b
-b > 2
/-1 /-1
b < -2
Answer:
b<−2
Step-by-step explanation:
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
A relation mapping diagram. Element x contains negative 2, 0, 2, and 4. Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0. Two maps to 0. Four maps to negative 3.
Points plotted on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. Five points are plotted. Begin ordered pair negative 3 comma 1 end ordered pair. Begin ordered pair negative 1 comma negative 1 end ordered pair. Begin ordered pair 0 comma 0 end ordered pair. Begin ordered pair 3 comma 2 end ordered pair. Begin ordered pair 3 comma 3 end ordered pair.
Answers
Answer:
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex] and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex] and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
Step-by-step explanation:
Domain is the set of input values or x-values.
Range is the set of output values or y-values.
According to the relation mapping diagram, the relation is
[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]
So,
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]
[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
In the graph 5 points are plotted. So, the relation is
[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]
So,
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]
[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
20 POINTS. PLEASE HELP FAST. FIRST ANSWER GETS BRAINLIEST.
Answers
Answer:
bd=24
Step-by-step explanation:
I believe you would have to set up a proportion. 32/19.2=15.0/x. cross multiply 19.2 and 15 to get 288. then divide by 32 to get qd=9. then add qd and bq to get 24.
? Question
Using the scenario and your equation from part A, find the number of shots each player attempted,
Type the correct answer in each box. Use numerals instead of words,
Jared attempted
shots,
Zach attempted
shots,
Answers
Answer:
Jared attempted 60 shots.
Zach attempted 70 shots.
Step-by-step explanation:
Factor the trinomial and enter the factorization below. Write each factor as a
polynomial in descending order.
x^2+6x-27
Answers
Answer:
( x - 3 )( x + 9 )
Step-by-step explanation:
The first thing we want to do here is to break the expression into groups. This will help us factor out common terms, that will later be grouped - our resulting, factored expression.
x² + 6x - 27 - Break the expression into groups,
( x² - 3x ) + ( 9x - 27 ) - Factor out x from the expression " x² - 3x. " Respectively factor out 9 from the expression " 9x - 27. "
x( x - 3 ) + 9( x - 3 ) - Now this contains the shared expression " x - 3, " and hence can be broken down further through grouping.
Factored Expression: ( x - 3 )( x + 9 )
6. Find the product for both sets of polynomials below by multiplying vertically.
A.4x2 - 4x
x*x² - 4
————
B)
x²+x-2
*4x² - 8x
———-
Answers
Answer:
A) [tex]4x^5-4x^4-16x^2+16x[/tex]
B) [tex]4x^4-4x^3-16x^2+16x[/tex]
Also, maybe that vertically means:
A) [tex]4x^2 \cdot x^3[/tex] and [tex](-4x) \cdot (-4)[/tex]
Resulting in [tex]4x^5+16x[/tex]
B) [tex]x^2 \cdot 4x^2[/tex] and [tex]x \cdot (-8x)[/tex] and [tex]-2 \cdot 0[/tex]
Resulting in [tex]4x^4-8x^2[/tex]
Step-by-step explanation:
It seems that you want to multiply the polynomials in this way: [tex](\text{Polynomial - 1})\cdot(\text{Polynomial - 2})[/tex]
A)
[tex]4x^2-4x[/tex]
[tex]x \cdot x^2 -4[/tex]
[tex](4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)[/tex]
[tex](4x^2-4x)(x^3 -4)\\[/tex]
[tex]4x^5-16x^2-4x^4+16x[/tex]
[tex]4x^5-4x^4-16x^2+16x[/tex]
B)
[tex]x^2+x-2[/tex]
[tex]4x^2-8x[/tex]
[tex](x^2+x-2)(4x^2-8x)[/tex]
[tex]4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex]
[tex]4x^4-4x^3-16x^2+16x[/tex]
The following data points represent the weight (in kilograms) of each of Newman's dogs. 3, 2, 26, 9 Find the mean weight.
Answers
Answer:
10 kilograms
Step-by-step explanation:
The mean of any data set is all the numbers added up divided by the amount of points.
[tex]3+2+26+9=40\\40\div4 = 10[/tex]
Hope this helped!
Answer:
10
Step-by-step explanation:
The mean is another word for average. Add up all the numbers and divide by the number of terms
( 3+2+26+9) /4
40 /4
10
The mean is 10
Find the area of the trapezoid (Problem is highlighted in Pink)
Answers
Answer:
please mark my answer as the brainliest
Step-by-step explanation:
AREA = 1/2 * (b1+b2)h
A = 1/2 * (8+18)13.5
therefore area = 175.5cm^2
Answer:
Area = 1/2 * (B1+B2)hH
A = 1/2 * (8+18)13.5
Therefore the area = 175.5cm^2
Based on the graph below, what is a reasonable estimate for the y value when x is -4?
Answers
Answer: i think the answer is 1.5
Step-by-step explanation:
A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 joules of energy. Set up a calculation to find the number of meters the car travels with this amount of energy. Perform the calculation you set up in part A. Round your answer to the nearest whole number? What is The car will travel ??? meters using 52,700 joules of energy.
Answers
The car will travel 2858meters.
What is speed?Speed is the rate of change of distance.
Analysis:
speed of car = 41m/s
Energy consumption rate of engine = 756 joules/second
Time taken to consume 52700 joules = 52700/756.
If it travels at 41m/s for 52700/756 seconds, then the distance covered = 41 x 52700/756 = 2858 meters.
Learn more about speed: brainly.com/question/4931057
#SPJ1
Answer:
2900
Step-by-step explanation:
.