Answer:
The answer is "Second and Last choice".
Step-by-step explanation:
let x be the number of widgets and y the number of zurls.
As per the question, the equation is:
\(\to x\leq 4\\\\\to x+y\leq 12\)
the school lisa goes to is selling tickets to the annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. the school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. what is the price of on senior citizen ticket and one student ticket?
Answer: one senior ticket is $8 and one student ticket is $14
Hope this helps a little
An electronics store advertised a television as $17 a day for 30 days rather than the full price of $510. Why did the store choose to advertise the television this way?
A.Because it looks like a deal
B. Because they accept partial payments
C.To help customers pay for it
D.To show the daily consumption cost
Answer:
A.Because it looks like a deal
Step-by-step explanation:
17$ a day for 30 days is just multiplication which ends up with 510$ which is the full price they only put the ad up to make it seem like a deal. Understand well il break it down for you take the seventeen and 30. multiply the 7 and the 30 then 10 and the 30. add both of the products together to get 510 or 510$.
A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will miss the playoffs this year. In the accompanying dialogue, the reporter states, we are 97% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 28% and 42% . What does 35% represent in the report
Answer:
\(35\%\) represents the sample proportion of the population
Step-by-step explanation:
From the question we are told that
The sample size is n = 947
The proportion of the population that believes that the Yankees will miss the playoffs this year is \(k = 35\% = 0.35\)
From the question we are told the confidence level is 97%
The lower limit of the confidence level is a = 28%
The upper limit of the b = 42%
Generally the sample proportion of this population is mathematically represented as
\(\^ p = \frac{a+ b}{2}\)
=> \(\^ p = \frac{28 + 42 }{2}\)
=> \(\^ p = 35\%\)
Hence \(35\%\) represents the sample proportion
3. TELEPHONE NUMBERS What is the probability that a 7-digit telephone number with the digits 5, 1, 6, 5, 2, 1 , and 5 is the number 550 - 5211 ?
Find the length of the third side to the nearest tenth.
3 7
Answer:
uhm 5?
Step-by-step explanation:
because 3 we move 1 more is 4.
and 7 we go -1 which is 6 so we have 5 in the middle so the answer is 5!
The proof shows that ABCD is a rhombus. Which of the following is the
missing reason?
Prove: ABCD is a rhombus
Statements
1. ABCD is a parallelogram and
AD= AB.
AB a DC, AD a BC
2.
3.
AB a CD a AD a BC
4. ABCD is a rhombus.
Reasons
1. Given
PREVIOUS
2. ?
3. Transitive property
4. By definition, if all four sides of a
parallelogram are congruent, then
it is a rhombus.
QED
O A. Consecutive sides of a parallelogram are parallel.
B. Opposite sides of a parallelogram are parallel.
C. Opposite sides of a parallelogram are congruent.
O D. Consecutive sides of a parallelogram are congruent.
From the two column proof below to prove that ABCD is a rhombus, the missing reason is reason 6; C. Opposite sides of a parallelogram are congruent.
How to carry out a two column proof?Given: ABCD is a parallelogram.
The two column proof that ABCD is a rhombus is;
Statement 1; ABCD is a parallelogram. AD = AB and AC bisects ∠BCD and ∠BAD
Reason 1; Given
Statement 2; ∠BCA ≅ ∠DCA
Reason 2; Definition of an angle bisector
Statement 3; AC ≅ AC
Reason 3; Reflexive property of congruence
Statement 4; ΔABC ≅ ΔADC
Reason 4; Angle Side Angle Congruence Postulate
Statement 5; AB ≅ AD, BC ≅ DC
Reason 5; Corresponding parts of congruent triangles are equal.
Statement 6; AB ≅ CD, BC ≅ AD
Reason 6; Opposite sides of the parallelogram are congruent
Statement 7; AB ≅ AD, BC ≅ CD
Reason 7; Transitive Property of Congruence
Statement 8; ABCD is a rhombus
Reason 8: Definition of rhombus
Read more about two column proof at; https://brainly.com/question/26111221
#SPJ1
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 126 in, find its area. Answer in inch ^2
Answer:
486 square inches.
Step-by-step explanation:
126 = w + 6w + w + 6w
126 = 14w
width = 9 inches
A = wl
A = (9)(9*6)
A = 486 square inches
Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1What is (4x2 − x + 1) subtracted from (6x2 + 5x – 4) ?
Answer:
Step-by-step explanation:
4x^2-x+1-(6x^2+5x-4)
4x^2-6x^2-x-5x+1+4
-2x^2-6x+5
Describe how p(x)=-f(x)-3 transforms the graph of the parent function f(x)=x^2
.
The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down
Describing the transformation of f(x) to p(x).From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the function equations, we can see that
f(x) = x²
p(x) = -f(x) - 3
So, we have
Vertical Difference = 0 - 3
Evaluate
Vertical Difference = - 3
This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).
Read more about transformation at
brainly.com/question/27224272
#SPJ1
Multiply 3 1/3 x 1 1/7
write the answer in simplest form.
A ladder rests against the top of a wall. The head of a person 6 feet tall just touches the ladder the person is 9' from the wall and 6' from the foot of the ladder. find the height of the wall
Answer:
15 ft
Step-by-step explanation:
Let the height of the wall be represented bad x
Applying the theorem of similarity, we would have the following equation:
\( \frac{x}{6} = \frac{9 + 6}{6} \)
\( \frac{x}{6} = \frac{15}{6} \)
\( \frac{x}{6} = \frac{5}{2} \)
Cross multiply
\( x*2 = 5*6 \)
2x = 30
Divide both sides by 2
x = 15
Thus, the height of the wall = 15 ft
determine 3x4 2x5 if x1, x2, x3, x4, and x5 satisfy the system of equations given below: 2x1 x2 x3 x4 x5
On solving the linear equations we get the result as
x1 + x2 − 2x3 + 3x4 + 2x5 = 6
3x1 + 3x2 − x3 + x4 + x5 = 12
2x1 + 2x2 − x3 + x4 − 2x5 = 5
4x1 + 4x2 + x3 +0x4 − 3x5 = 16
8x1 + 5x2 − 2x3 − x4 + 2x5 = 29
where ,
x1 = 5,x2 = -1, x3 = 3 ,x4 = 2 , x5 = 1
Finding the value of an equation's unknown variable can be done by solving the equation. If an equation contains a "equal to" sign, it is considered to be balanced. This equation so shows that the two quantities on both sides of it are equal. Left hand side and right hand side are the two sides of the equation (Right hand side).
One equation is x - 4 = 5, for instance. It illustrates that x - 4 (LHS) = 5. (RHS). Here, x is an unknowable quality or variable. Therefore, in order to determine the value of x, we must solve this equation.
To learn more about linear equation
brainly.com/question/28307569
#SPJ4
2/3-5/6what is 2 / 3 - 5 / 6
Answer:
\( \frac{ - 1}{6} \)
Step-by-step explanation:
\( \frac{2×2}{3×3} - \frac{5}{6} = \frac{4 - 5}{6} \)
\( = \frac{ - 1}{6} \) ✅
Please help quick I need it
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
learn more on area here: https://brainly.com/question/9720037
#SPJ1
3x+4>16 what is the soultion?
The solution to the inequality expression 3x + 4 > 16 is x > 4
How to determine the solution to the expression?From the question, we have the following parameters that can be used in our computation:
3x + 4 > 16
Subtract 4 from both sides of the expression
So, we have the following representation
3x > 12
Divide by 3
x > 4
Hence, the solution is x > 4
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
The expression 12x + 6 can be used
to describe a sequence algebraically. Which of the following could be the first
five numbers in this sequence?
A 6, 12, 18, 24, 30
B 6, 18, 24, 36, 42
C 18, 30, 42, 54, 66
D 18, 36, 54, 72, 90
The first five terms of the given sequence are:
C: 18, 30, 42, 54, 66
How to find the nth term of a sequence?The formula for the nth term of an arithmetic sequence is expressed as:
aₙ = a + (n - 1)d
where:
a is first term
d is common difference
n is number of term
The formula for the sequence is 12x + 6. Thus:
First term = 12(1) + 6 = 18
Second term = 12(2) + 6 = 30
Third term = 12(3) + 6 = 42
Fourth term = 12(4) + 6 = 54
Fifth term = 12(5) + 6 = 66
Thus, the sequence is : 18, 30, 42, 54, 66
Read more about nth term of sequence at: https://brainly.com/question/7882626
#SPJ1
Select all the properties that are used below to solve 7y − 15 = −29. 7y – 15 + 15 = –29 + 15 7y = –14 7y7 = –147 y = –2 A. Identity Property of Multiplication B. Addition Property of Equality C. Distributive Property D. Inverse Property of Multiplication E. Commutative Property of Addition
B.addition property of multiplication
D.inverse property of multiplication
E.commutative property of addition
All the properties which is use to solve given equation is;
B. Addition property of equality.
D. Inverse property of multiplication.
E. Commutative property of addition.
Here, the equation is,
\(7y - 15 = -29\\7y - 15 + 15 = -29 + 15\\7y = -14\\\frac{7y}{7} = \frac{-14}{7} \\y = -2\)
What is the properties to solve the equation?
The properties used to solve an equation are the properties of the relationship of equality, distributive property, reflexivity, symmetry and transitivity and the properties of operations.
Now,
Here, the equation is,
\(7y-15=-29\\7y-15+15=-29+15\)
( Addition property of equality, commutative property of addition)
\(7y= -14\\\frac{7y}{7} = \frac{-14}{7}\)
( inverse property of multiplication)
\(y=-2\)
So, All the properties which is use to solve given equation is;
B. Addition property of equality.
D. Inverse property of multiplication.
E. Commutative property of addition.
Learn more about the properties to solve the equation visit:
https://brainly.in/question/48666386
#SPJ2
Which reason justifies the second statement in the proof below?
Given: parallelogram L E N S and parallelogram N G T H
Prove: Angle L is congruent to angle T.
A. In a parallelogram, consecutive angles are supplementary.
B. Alternate Interior Angles Theorem
C. In a parallelogram, opposite angles are congruent.
D. Corresponding Angles Postulate
SOMEONE PLEASE HELP!
The reason that justifies the second statement "Angle L is congruent to angle T" is:
In a parallelogram, opposite angles are congruent.
Option C is the correct answer.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Parallelogram LENS and parallelogram NGTH
Now,
Parallelogram LENS:
∠L = ∠N _____(1)
Opposite angles are equal.
Parallelogram NGTH:
∠N = ∠T ______(2)
Opposite angles are equal.
Now,
∠ENS = ∠GNH
Vertical angles are equal.
So,
From (1) and (2).
∠L = ∠T
Angle L is congruent to angle T
Thus,
Angle L is congruent to angle T
[ In a parallelogram, opposite angles are congruent ].
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ1
algebra one slope of a line help please
Answer:
y, -2,3
w, 3,2
L, 0
k,-2/1 or just (-2)
m=0
Step-by-step explanation:
not sure but love the pfp
can someone help me ?
Which of the following are true?
3^6 x 3^-3 = 27
3^3 x 3^-6 = 1/27
3^2 x 3^1 = 27
3^4 x 3^-1 = 1/27
Answer:
i think that all of them EXCEPT the last one are correct. Explained below
If average of the numbers 3,9,5,7 and Q is 5 times the value of Q, find the value of Q
Answer:
q=6
Step-by-step explanation:
3+9+5+7+Q=5Q
5Q-Q=24
Q=6
Audrey is hosting a movie marathon over the weekend. There will be p people at the party
altogether. Audrey estimates she'll need one bag of cheese popcorn and one pack of gummy
worms per person. A bag of cheese popcorn costs $2.50, and a pack of gummy worms costs
$1.50.
Pick all the expressions that represent how much money Audrey will spend on cheese
popcorn and gummy worms.
2.50( + 1) + 1.50( + 1)
2.50p + 1.50p
4.00p
p(2.50 +1.50)
Answer:
2,3 and 4
Step-by-step explanation:
The 2nd one:
2.50p + 1.50p because for each person she needs 1.50 for the gummy worms and 2.50 for the popcorn.
The 3rd one becuase it’s the same as the 2nd one, just added together already.
‘And the 4th one, it’s the same as 2 and 3, just in parentheses.
What is the solved equation for x+4=-14?
Answer:
-18
Step-by-step explanation:
Answer: x =-18
Step-by-step explanation: because in order to get the variable by its self yo have to subtract 4 and that will add up to -18 because -4 from a negative number means adding 4 to it
help asap !! will get branliest.
Answer:
0.8
Step-by-step explanation:
(2 x 10^-4)
= 0.0002
(4x10^3)
= 4000
0.0002 x 4000 = 0.8
a)
percent.
A shopkeeper fixed the price of his articles 25 % above the cost price. If he sold an
article allowing 5% discount, find his profit percent.
Ashankeaner fived the more
bi
CL
Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%
Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
Factor 25x2 + 10x + 1.
(5 x + 1)2
(25 x + 1)( x + 1)
(5 x + 1)(5 x - 1)
Answer:(5x+1)2
the two is on the top
Select the correct answer.
Answer:it might be A