Answers
7x - 14 = 4x + 19
7x - 4x = 14 + 19
3x = 33
x = 11
Related Questions
Find the value of x in the
following parallelogram:
2x - 5
X + 10
x = [?]
Answers
Answer:
15
Step-by-step explanation:
Opposite sides in a parallelogram are equal.
2x - 5 = x + 10
Subtract x and add 5 on both sides.
2x - x = 10 + 5
Combine like terms.
x = 15
Answer:
[tex]\boxed{\red {x= 15}}[/tex]
Step-by-step explanation:
We know that opposite sides in a parallelogram are equal.
So, in this sum value of the sides in a parallelogram
[tex]x + 10 \: \: \: and \: \: \: 2x - 5[/tex]
So now let's create an equation
[tex]x + 10 = 2x - 5[/tex]
Now let's solve for x
[tex]x + 10 = 2x - 5 \\ 10 + 5 = 2x - x \\ 15 = x[/tex]
Please answer this question now
Answers
Answer:
b=9.96≅10
Step-by-step explanation:
b^2=a^2+c^2−(2ac)cos(64)
b=√6²+11²-2(6*11)cos64
b=9.96≅10
(pic inside) What is the approximate value of the function at x = 1?
Answers
Answer: -2
Step-by-step explanation:
When x = 1, y = -2.
Hope it helps <3
(a) A building has n floors numbered 1,2,...,n, plus a ground floor G. At the ground floor, m people get on the elevator together, and each gets off at a uniformly random one of the n floors (independently of everybody else). What is the expected number of floors the elevator stops at (not counting the ground floor)
Answers
Answer:
The expected number of floors the elevator stops at, not counting the ground floor is =
n*(1-(1-1/n)^m)
Step-by-step explanation:
Here, we want to know the expected number of floors the elevator stops at.
let X1,X2,X3,..Xn are indicator variable for which value =1 if at least one person stops on that floor otherwise value is 0
P(at least one person stops at floor Xj)=1-P(none of m people stops at floor j)
=1-(1-1/n)^m
here total number of floors on elevetor Stops X=X1+X2+X3+...+Xn
hence expected number of floors on elevetor Stops
E(X)=E(X1)+E(X2)+E(X3)...+E(Xn)
=(1-(1-1/n)^m )+(1-(1-1/n)^m )+(1-(1-1/n)^m )+(1-(1-1/n)^m )+..... n times
=n*(1-(1-1/n)^m)
An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units
Answers
Answer:
30x² cubic units
Step-by-step explanation:
The volume of an Oblique prism = Base Area × Height
This oblique prism has trapezoidal bases.
Area of a Trapezoid = 1/2 × h × ( b1+b2)
where h = height
b1 and b2 = bases of the Trapezoid.
From the question,
h = 20
b1 = x
b2 = 2x
Area of the Trapezoid =
1/2 × x ×( x + 2x)
1/2 × x × (3x)
3x²/2 square units.
Remember, the volume of an Oblique prism = Base Area × Height
Height of the prism = The distance between the 2 trapezoid bases = 20 units.
Base Area = 3x²/2 square units × 20 units
= 30x² cubic units
Answer:
d
Step-by-step explanation:
PLEASE HELP FAST
answers:
A.) RT and plane RSU
B.) RS and plane UR
C.) RS and plane RSU
D.) SR and plane UT
Answers
Answer:
RS and plane RSU
Step-by-step explanation:
I think not to sure
The Department of Education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,600. A random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05. The confidence interval for this hypothesis test would be ________.
Answers
Answer:
A 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
Step-by-step explanation:
We are given that a random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample average debt load = $18,800
[tex]\sigma[/tex] = population standard deviation = $4,800
n = sample of students = 28
[tex]\mu[/tex] = population average debt load
Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 5% level of
significance are -1.96 & 1.96}
P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95
P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]
= [ [tex]\$18,800-1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] , [tex]\$18,800+1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] ]
= [$17,022.05, $20,577.94]
Therefore, a 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
Describe each transformation from f(x)
(red) to g(x) (green) in terms of x.
Answers
A point like (2,0) that is on the red curve goes to (-2,0) on the green curve. The rule used is [tex](x,y) \to (-x,y)[/tex] which describes a reflection over the y axis. The other points use this rule as well.
In other words, every x becomes -x. Whatever the sign is for x, we swap it from positive to negative or vice versa. This means g(x) = f(-x).
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season. Which system represents this scenario? x + y = 500. 215 x + 615 y = 187,500 x minus y = 500. 215 x minus 615 y = 187,500 500 x + 500 y = 187,500. 215 x = 615 y 500 x = 500 y. 215 x + 615 y = 187,500
Answers
Answer:
x + y = 500
215x + 615y = 187,500
Step-by-step explanation:
The first equation can show the amount of land. The farmer has 500 acres to plant corn, x, and cotton, y.
x + y = 500
The second equation can show the cost. The farmer has $187,500 to invest when corn costs $215 per acre and cotton costs $615 per acre.
215x + 615y = 187,500
The system of equations is
x + y = 500
215x + 615y = 187,500
The correct system of represents this scenario will be,
⇒ x + y = 500
⇒ 215x + 615y = 187,500
Where,' x' is plant acres of corn and 'y' is acres of cotton.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y.
And, Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season.
Now,
Let us take 'x' is plant acres of corn and 'y' is acres of cotton.
Since, A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y.
So, we can formulate;
⇒ x + y = 500
And, He has $187,500 to invest this season for corn costs $215 per acre to produce, and cotton costs $615 per acre to produce.
So, We can formulate;
⇒ 215x + 615y = 187,500
Thus, The correct system of represents this scenario will be,
⇒ x + y = 500
⇒ 215x + 615y = 187,500
Where,' x' is plant acres of corn and 'y' is acres of cotton.
Learn more about the mathematical expression visit:
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 10 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answers
Answer:
x= 118 y= 26 and z=36
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180
can be written as x+y+z=180
The sum of the measures of the second and third angles is four times the measure of the first angle.
It can be written by: x+y=4z
The third angle is 10 more than the second
It can be written as z=y+10
By solving the equations systems the above values can be determined.
x + y + z = 180
Substituting,
4z + z = 180
5z = 180
z = 180 / 5 = 36
z = y + 10
36 - 10 = y
y = 26
x + y + z = 180
x + 26 + 36 = 180
x = 180 - 62
x = 118
PLEASE HELP!!! no crazy answers please
Answers
Answer:
(a) 63 cups
(b) 16 cups
Step-by-step explanation:
Given that the volume of the sink = (2000/3)×π in³
(a) For the cup that has diameter = 4 in. and height, h = 8 in.
The radius, r = Diameter/2 = 4/2 = 2 in.
The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×2²×8 = (32/3)×π in.³
The number of cups to scoop = (Volume of the sink)/(Volume of the cup)
The number of cups to scoop = ((2000/3)×π)/((32/3)×π ) = 125/2=62.5 cups
Rounding to the next whole number gives 62.5 cups ≈ 63 cups
(b) For the cup that has diameter = 8 in. and height, h = 8 in.
The radius, r = Diameter/2 = 8/2 = 4 in.
The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×4²×8 = (128/3)×π in.³
The number of cups to scoop = (Volume of the sink)/(Volume of the cup)
The number of cups to scoop = ((2000/3)×π)/((128/3)×π ) = 125/8=15.625 cups
Rounding to the next whole number gives 15.625 cups ≈ 16 cups.
Please give me the correct answer her please
Answers
Answer:
9.3 inStep-by-step explanation:
m∠UTV = 112° ⇒ m∠WTV = 180° - 112° = 68°
sin(68°) ≈ 0.9272
sin(∠WTV) = WV/TV
WV/10 ≈ 0.9272
WV ≈ 9.272
WV ≈ 9.3
There are four inequalities that define the region R.
One of these is y
Find the other three inequalities,
Answers
Answer:
[tex]y\geq 0\\y\geq \frac{3}{2}x-3\\ y\leq -x+3[/tex]
Step-by-step explanation:
The region R is surrounded by 4 lines, the first one is y=x+1, the second one is y=0 or the axis x, and the third and fourth one need to be calcualted.
To find the equation of a line through the points (x1,y1) and (x2, y2) we can use the following equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Then, our third line is going to be the line that passes through the points (2,0) and (4,3), so the equation is:
[tex]y=\frac{3-0}{4-2}(x-2)\\y=\frac{3}{2}x-3[/tex]
Our fourth line is the line that passes through the points (3,0) and (0,3), so the equation is:
[tex]y=\frac{3-0}{0-3}(x-3)\\y=-x+3[/tex]
Then we can say that the other three inequalities are:
[tex]y\geq 0\\y\geq \frac{3}{2}x-3\\ y\leq -x+3[/tex]
please help :) What is 7.7 x 10 to the 8 power written in standard form? A. 770,000,000 B. 77,000,000,000 C. 77,000,000 D. 7,700,000,000
Answers
Answer:
A. 770,000,000
Step-by-step explanation:
7.7x10^8 First step is to simplify
7.7x100,000,000 Then, multiply
770,000,000
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot. If you still have any questions, feel free to ask.
Have a good day! :)
Emily reads a 210 page book in 7 days.She read the same number of pages each day.Write the number sentence that shows how to find the number of pages emily read each day.Then solve
Answers
Answer:
Step-by-step explanation:
7x=210
x=210/7=30 pages per day
Answer:
Emily read 30 pages per day.
Step-by-step explanation:
1. Divde 210 by 7
Number Sentance: 210÷7= 30
Reasoning:
Since Emily reads the same amount of pages each day we have too, divde 210 by 7.
Select the correct answer. A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2. Which graph matches the description?
Answers
Answer:
The third graph
Step-by-step explanation:
Which geometric model using algebra tiles represents the factorization of x2 – 5x + 6? An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x and 3 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 12 tiles are in the Product spot: 1 is labeled + x squared, 5 are labeled negative x, and 6 are labeled +. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 11 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, and 6 are labeled +. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 11 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, and 6 are labeled +.
Answers
Answer:
Step-by-step explanation:
The factorization of x² - 5x + 6 can be determined thinking critically about two numbers, that if we multiply those two numbers together it will result into a value of +6 and if we add those numbers together , we will have -5
The numbers are -3 and -2 ; if we multiply -3 and -2 , we have = 6
If we add -3 + (-2) ; we have,
-3-2 = -5
Now the factorization of
x² - 5x + 6 = 0 is as follows.
x² - 3x - 2x + 6
By factorization,
x(x - 3) - 2 (x - 3) = 0
(x - 2) or (x-3) = 0
Now, using An algebra tile configuration. The diagrammatic expression showing how an algebraic tile configuration should looks like can be found in the attached image below.
Hint:
Let represent ,
1 = x² tile
-5 = - x tiles
6 = 1 tiles
Answer:
The answer is the first tile choice.
Step-by-step explanation:
Please help I been stuck
for the longest
Answers
Answer:
6^5 * 9^5
Step-by-step explanation:
( 6*9) ^5
We know that ( ab) ^c = a^ c* b^c
6^5 * 9^5
the figure is cut into 8 pieces.
shade 1/2 of the figure
Answers
You have to shade 4 boxes of the figure.
What is fraction?Fractions are used to represent smaller pieces of a whole.
Given is a box with 8 parts of it,
1/2 of 8 = 8*1/2 = 4
Hence, You have to shade 4 boxes of the figure.
For more references on fractions, click;
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Please Answer ASAP! (NO EXPLANATION NEEDED!) <3
Answers
volume=l1*l2*l3
=8*15*20=2400cm^3
Volume = length x breadth x height = 20 x 15 x 8 = 2400 sq cm
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
Answers
Answer:
It has two solutions.
Step-by-step explanation:
Let as consider the given options are
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
The given equation is
[tex]\dfrac{3}{4z}=\dfrac{1}{4z-3}+5[/tex]
Multiply both sides by 4z(4z-3).
[tex]3(4z-3)=4z+5(4z(4z-3))[/tex]
[tex]12x-9=4z+80z^2-60z[/tex]
[tex]0=-12x+9+80z^2-56z[/tex]
[tex]0=80z^2-68z+9[/tex]
It is a quadratic equation.
Therefore, it has two solutions.
Answer:
It has 1 solution
Step-by-step explanation:
I did the test I put the guys above me in and got it wrong
Find the value of x in the data given below if the mean is 2. The values are 2, 4, 1, 1, x, 3, 2
Answers
Answer:
[tex]\boxed{x=1}[/tex]
Step-by-step explanation:
[tex]mean=\frac{sum \: of \: terms}{number \: of \: terms}[/tex]
[tex]2=\frac{2+4+1+1+x+3+2}{7}[/tex]
[tex]2=\frac{13+x}{7}[/tex]
[tex]14=13+x[/tex]
[tex]x=1[/tex]
5 - 2x/ 7 is greater than or equal to 1
Answers
5 - 2x >= 1 × 7
5 - 2x >= 7
-2x >= 7 - 5
-2x >= 2
x <= -1 sign changes when divided by negative number
Real solutions please WILL GIVE BRAINLIEST
Answers
Answer:
the answer is A=2
Step-by-step explanation:
a real solution is a solution that uses real numbers. This equation has 2 real solutions.
Answer:
A. 2 real solutions
Step-by-step explanation:
One graph is a parabola and 1 graph is a straight line and they intersect twice.
Does any wonderful person want to be so kind and give your girl a hand? I am talking about the math question down below:)
Answers
Answer:
The last one, The Hypotenuse Leg Theorem, or HL Theorem,
Step-by-step explanation:
Answer:
HL theorem
Step-by-step explanation:
If any 2 right angled triangles have same length of hypotenuse then both are congruent by HL theorem
4 lines are shown. One line contains points F, E, A. 3 lines come out of point E. One line goes to point D, another line goes to point B, and another line goes to point C. Angles B E C and B E A are congruent. Which statement is true about the diagram?
Answers
Answer:
a
Step-by-step explanation:
Romeo is using a common algorithm to find the product of 8,125 × 9. Drag the correct numbers to the problem to show the partial products and to complete the multiplication for Romeo.
Answers
Answer:
its harddd
Step-by-step explanation:
rightttttttt
Find the missing factor.
7s^2 + + 13s + 6 = (7s + 6)
)
Answers
Answer:
71s
Step-by-step explanation:
The question we have at hand is 7s² + ___ + 13s + 6² = (7s + 6)². We can expand the perfect equation " (7s + 6)² " in order to find our solution. A perfect square consists of 3 terms, and hence the term in the blanks must add to 13s to form another term.
Applying the perfect square formula : ( a + b )² = a² + 2ab + b², let's expand the expression,
(7s + 6)² = ( 7s )² + 2( 7s )( 6 ) + ( 6 )² = 7s² + 84s + 6²
84s - 13s = 71s, which fills in the blank provided.
Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if exactly two of the triplets are in the starting lineup?
Answers
Answer:
990 ways to choose 6 starters out of 14 with exactly two of the three triplets.
Step-by-step explanation:
Ways to choose 2 of the triplets
= C(3,2) = 3! / (2!1!) = 3
Ways to choose the remaining 4 starters out of 11 players left
= C(11,4) = 11! / (4!7!) = 330
Total number of ways to choose 6 starters
= 3*330 = 990
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y=-2/3x+6. What is the point-slope form of the
equation for this line?
Answers
Answer:
b. y - 8 = -2/3(x + 3)
Step-by-step explanation:
Well point-slope form takes one point in this case (-3,8) and puts it into the equation.
So this is point slope form,
[tex]y -y_{1} = m(x - x_{1} )[/tex]
The 2 negatives in the -y and -x means you have to change the number to a negative to a positive to a negative.
We plug in (-3,8) to the equation.
y - 8 = m(x + 3)
Well we change the -3 to a 3 because of the negative.
So with the given slope -2/3 we plug that in for m.
y - 8 = -2/3(x + 3)
Thus,
answer choice b is correct.
Hope this helps :)