Answer:
angle M = 60
angle Q = 70
Step-by-step explanation:
M 180/3 = 60
Q 180-40 = 140/2 = 70
I really need help and my paper is due at the end of the day today at 1:49pm can someone help me ???
Answer:
The pencils at store A cost more.
Step-by-step explanation:
First find the price of one pencil at store A
y=0.55(1)=
y=0.55
One pencil at store A costs 0.55
Now find the price of one pencil at store B
3.06/6=
0.51
One pencil at store B costs 0.51
0.55>0.51 so The pencils at store A cost more.
Hope this helps!
Will give 50 points for answer to this question please help
Answer:
The 3rd one (y_< 2/3 x + 1/5) If this helps please mark brainiest! :)
grade 11 2022 June common test mathematics memorandum?
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
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Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
Using the set of data below, which statements are true?
13, 11, 16, 12, 42, 8
The mean of this data set is 17.
The median is 12.5.
The median is 14.5.
The mean is more affected by the outlier.
The median is more affected by the outlier.
The mean of this data set is 12.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
What is the length of each leg in the right triangle shown?
45
7sqrt2
45°
Answer:
Below
Step-by-step explanation:
It is an isosceles right triangle ( the two legs are equal length).
Use Pythagorean Theorem
(7 sqrt2)^2 = L^2 + L^2
98 = 2 L^2
49 = L^2
L = 7
Which equation represents the rental cost of the company with the least expensive hourly rate?
Answer:
c. y = 2x + 4
Step-by-step explanation:
Hope you got it.
Jackie correctly solved this equation:
4/x-2+1/x^2-4=1/x+2
Which statement describes the solutions she found?
Answer:
answer is A
Step-by-step explanation:
took the test :)
The option (A) she found one valid solution and no extraneous solution is correct, and x = -11/3 or -3.66.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have the equation:
\(\rm \dfrac{4}{x-2}+\dfrac{1}{x^2-4}=\dfrac{1}{x+2}\)
After taking LCM
4x + 9 = x - 2
x = -11/3
or
x = -3.66
Thus, option (A) she found one valid solution and no extraneous solution is correct, and x = -11/3 or -3.66.
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Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie
Answer:
Radius ≈ 7 yd
Step-by-step explanation:
Height = 10
Volume = 1540
Missing radius
Use the formula and work backwards
Formula : πr²h
Plug in the given info:
1540 = 3.14 * r² * 10
Work backwards:
1540/10 = 3.14 * r²
154 = 3.14 * r²
154/3.14 = r²
49.044 = r²
√49.044 ≈ 7
Radius = 7
If my answer is incorrect, pls correct me!
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-Chetan K
Write the equation of the line in fully simplified slope-intercept form.
Answer:
the line is going 1/1 so y=1x+2
Step-by-step explanation:
y=mx+b
1 is the slope
2 is the intercept of the graph
PLSS HELP!!
Explain the process to simplify the rational expression including any domain restriction.
Explain why there are domain restrictions.
Simplify: 2x²+13x+20
———————
2x2+17x+30
the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).
What is factor?In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).
In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.
To simplify a rational expression, follow these steps:
Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).
Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.
Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:
\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)
Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.
It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.
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20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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Twenty-four more than the product of four and a number yields sixty.
The value of the number is 21
How to determine the numberNote that algebraic expressions are defined as expressions that are made up of terms, factors, variables, coefficients and constants.
The different types of operations in these expressions are;
AdditionParenthesesSubtractionMultiplicationDivisionBracketFrom the information given, we have that;
Let the number be x
Then, we have;
4x - 24 = 60
To solve the equation, collect the like terms
4x = 60 + 24
Add the values
4x = 84
Make 'x' the subject
x = 21
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16 is the wrong answer
Answer:
117 degrees
Step-by-step explanation:
Before we begin, there are two important things we need to know. Number 1, all the angles in a parallelogram will total 360 degrees. Secondly, angels C and E are congruent, and so are angles F and D. Now, let's use this information to find angle C.
C = E
F = D
C = 10x - 23
F = 5x - 7
C + D + E + F = 360 [Get rid of E and D]
C + F + C + F = 360 [Combine like terms]
2C + 2F = 360 [Plug in C and F]
2 ( 10x - 23 ) + 2 ( 5x - 7 ) = 360 [Distribute]
20x - 46 + 10x - 14 = 360 [Combine like terms]
30x - 60 = 360 [Add 60 to both sides]
30x = 420 [Divide both sides by 30]
x = 14
Now, we have found the value of x, but the equation wants us find the value of C. To do this, we will take the equation 10x - 23, the equation for angle C, and plug in our x value.
10x - 23 = <FCD
10 ( 14 ) - 23 = <FCD
140 - 23 = <FCD
117 = <FCD
So, angle <FCD is equal to 117 degrees.
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What is the value of f(−6) when f(x)=x2+8x+1
Answer:
-11
Step-by-step explanation:
Notice how
\(f(x)=x^{2} +8x+1\)
So when we have
\(f(-6)=(-6)^{2} +8(-6)+1= 36-48+1=-11\)
The answer is:
f(-6) = -11
Step-by-step explanation:
Plug in -6 for x:
\(\sf{f(x)=x^2+8x+1}\)
\(\sf{f(-6)=(-6)^2+8(-6)+1}\)
Simplify this:
\(\sf{f(-6)=36-48+1}\)
\(\sf{f(-6)=-12+1}\)
\(\sf{f(-6)=-11}\)
∴ f(-6) = -11According to the graph, what is the value of the constant in the equation below?
A. 5
B. 4
C. 120
D. 80
According to the graph, the value of the constant in the equation below is 80 and is denoted as option D.
What is a Graph?
This is defined as a pictorial representation of data or variables in an organized manner.
From the equation: Height = constant/width
We can pick any point(4,20) on the graph.
20 = c/ 4
c = 20 × 4 = 80
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HELPPP PLEASE THIS IS OVERDUE AND MY TEACHER IS PUTTING IN GRADES TMR
Answer:
20+20+8+8+10+10=40+16+20=60+16=76
Step-by-step explanation:
brainliest?
Help ASAP giving BRAINLIEST! Am i correct?
Answer:
You are correct
Step-by-step explanation:
x - 8 < 23
Add 8 to both sides
x - 8 + 8 < 23 + 8
Simplify
x < 31
Yes, you are correct.
How to solve the problem of equivalent fractions
1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively
What is Equivalent Fraction?The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.
1/2 = /6 = /8.
a. Multiply numerator and denominator by 3 for equivalenting the equation /6
Therefore,
3*3/6*3
=9/18
=1/2
therefore:1/2=1/2.
b. Multiply numerator by 4
Therefore,
4/8
=1/2.
Therefore:
1/2=1/2.
1/2=1/2=1/2.
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Amy wants to save $500 to buy a TV. She saves $17 each week. The amount, A (in dollars), that she still needs after w weeks is given by the following function.
A (w) = 500 - 17w
(a). How much money does Amy still need after 7 weeks?
(b). If Amy still needs $211, how many weeks has she been saving?
After 7 weeks she would have the total of 119$
A. $381
B. 17 weeks
500-211=289/17=17
Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13.
Write your answer as a fraction.
The tangent of the smaller acute angle is ____?_______
The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A right triangle with side lengths 5, 12, and 13.
tanФ = 5/12.
tanФ = 0.42.
Ф = tan⁻¹(0.42).
Ф = 22.8°.
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Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
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What is the first step in the problem below?
1+n/7=3
A. Do the reciprocal of 1/7
B. Divide both sides by 7
C. Multiply both sides by 7 for the inverse
D. Subtract 1 on both sides for the inverse
Answer:
C.
Step-by-step explanation:
I'm assuming that the equation is (1+n) / 7 = 3, where 1+n is the numerator and 7 is the denominator.
In this case, to isolate for n, you have to multiply both sides by 7.
then you get 1+n = 3/7, and then you can get n = 3/7 - 1
ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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what is √ 169 please answer fast and the correct answer please
Answer:
Step-by-step explanation:
Answer:13
Step-by-step explanation:
Chevy and 167 mile bicycle trip to build up stamina for a triathlon competition unfortunately his bicycle chain broke so he finished a trip walking the whole trip took six hours if Jim walks at a rate of 4 mph and rides at 30 mph find the amount of time he spend
on the bicycle
The amount of time Chevy spent on the bicycle is 5.5hours or 5 hours 30 minutes.
Given that:-
Total distance = 167 miles
Speed of bicycle = 30mph
Speed of Chevy walking = 4 mph
Total journey time = 6 hours
We have to find the amount of time Chevy spent on the bicycle.
Let the time spent on bicycle be x hours and,
Let the time spent on walking be y hours
Hence, we can write,
30x + 4y = 167 ... (1)
Also,
x + y = 6 ... (2)
Multiplying (2) by 4, we get,
4x + 4y = 24 ...(3)
(1) - (3), Using elimination method, we get
(30x - 4x) + (4y - 4y) = 167 - 24
26x + 0 = 143
x = 143/26 = 11/2 =5.5 hours = 5 hours 30 minutes.
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Lance loops went to his bank and found out how long it would take for is $1000 to amount to $1700 and a 12% simple interest can you solve lances problem
In 5.8 years, $1,000 will amοunt tο $1,700 at 12%.
What is simple interest?Simple cοmpοund interest is a quick and easy way tο find οut hοw much mοney has accrued interest. Interest is always charged οn the principal and is calculated at the same rate each periοd.
Every bank we depοsit mοney with pays interest οn that amοunt. Simple interest is οne οf many fοrms οf interest charged by banks. Sο, befοre delving further intο the idea οf simple interest, let's first clarify what a lοan is.
A lοan is an amοunt οf mοney that sοmeοne bοrrοws frοm a bank οr οther financial institutiοn tο cοver expenses. Mοrtgages, autο lοans, student lοans, and persοnal lοans are examples οf lοans.
According to our question-
Principal amοunt = $1,000
Future value = $1,700
Interest rate = 12%
Time = ?
Interest earned = Future value - Principal amοunt
= 1,700-1,000
= $700
Time = Interest earned / ( Principal x interest rate)
= 700/(1,000 x 0.12)
= 700/120
= 5.8 years
Hence, in 5.8 years, $1,000 will amοunt tο $1,700 at 12%.
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Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
14. Q is equidistant from the sides of ZTSR. Find the value of x. The diagram is not to scale.
S
a. 3
b. 10
C.
26
d. 13 PLS HELPPPP I BEGG YOUU
Answer:
Step-by-step
From the problem statement, we know that point Q is equidistant from the sides of ZTSR, so if we draw perpendicular lines from point Q to each of the sides, the distances from Q to the sides will be equal. Let's call this distance d.
Using Pythagoras theorem, we can find the value of a:
a^2 = d^2 + 9^2
Similarly, we can find the value of c:
c^2 = d^2 + 16^2
Since Q is equidistant from both sides, we can set the right-hand sides of these equations equal to each other:
d^2 + 9^2 = d^2 + 16^2
Expanding and simplifying, we get:
d = 5√7
Now that we know the value of d, we can find the value of b:
b = TS - QS - QR
b = 25 - 5√7 - 20
b = 5 - 5√7
Finally, we can find the value of x by substituting the values we found into the equation we derived in the previous answer:
x = 338 / (b + c - 26)
Substituting in the values we found, we get:
x = 338 / ((5 - 5√7) + √(d^2 + 16^2) - 26)
Simplifying, we get:
x = 338 / (-5√7 + √(d^2 + 16^2) - 21)
Substituting in the value of d we found earlier, we get:
x = 338 / (-5√7 + √(5^2 + 7^2) - 21)
Simplifying, we get:
x = 13
Therefore, the answer is (d) 13.