Answer:
Yes, because BC is perpendicular to AC
Step-by-step explanation:
You have to find the slope of equation by using the equation: m=Y₂-Y₁/ X₂-X₁
Next, you identify if the two slopes are opposite reciprocals.
IF they are opposite reciprocals than the lines perpendicular.
Tristan paid $17.50 to buy 2 pounds of peanuts and 3 pounds of cashews. Rivka paid $19.00 to buy 5 pounds of peanuts and 2 pounds of cashews. If both people paid the same price per pound, what was the price per pound for the cashews?
A. $2.00
B. $3.80
C. $4.50
D. $8.75
Answer:
C. $4.50
Step-by-step explanation:
hello, there.
1) 2p + 3c = 17.50
2) 5p + 2c = 19.00
:
Solve equation 1 for p
:
p = (17.50 - 3c) / 2
:
Substitute for p in second equation
:
(5(17.50 - 3c) / 2) + 2c = 19.00
:
Multiply both sides of = by 2
:
(5(17.50 - 3c)) + 4c = 38.00
:
87.50 - 15c + 4c = 38.00
:
-11c = -49.50
:
c = 4.50
:
---------
Cashews are $4.50 per pound
--------------
:have a great day.
Answer:
C
Step-by-step explanation:
Let p represent the cost for one pound of peanuts and let c represent the cost for one pound of cashews.
Two pounds of peanuts and three pounds of cashews cost $17.50. So:
\(2p+3c=17.5\)
Five pounds of peanuts and two pounds of cashews cost $19.00. So:
\(5p+2c=19\)
This yields a system of equations.
We can solve this using elimination. We can multiply the first equation by -5, and the second by 2. Therefore:
\(-5(2p+3c)=-5(17.5)\)
Multiply:
\(-10p-15c=-87.5\)
And:
\(2(5p+2c)=2(19)\)
Multiply:
\(10p+4c=38\)
Now, we can add the two equations together:
\((-10p-15c)+(10p+4c)=(-87.5+38)\)
Combine like terms:
\(-11c=-49.5\)
Therefore:
\(c=4.5\)
So, a pound of cashews costs $4.50.
Our answer is C.
Notes:
To solve for the cost for peanuts, we can use the first (or second equation) again:
\(2p+3c=17.5\)
Substitute:
\(2p+3(4.5)=17.5\)
Solve for p:
\(2p+13.5=17.5\Rightarrow 2p=4\Rightarrow p=2\)
So, a pound of peanutes cost $2.00.
Solve for x. Brainliest if you show your work.
Please help with this question. I need help this is too hard for my friend and I do not have time.
The frequency table formed using tally marks can be analyzed by using the numbers indicated by the tally marks as follows;
The true statements are as follows;
Twice as many students prefer green than purpleTwo more students prefer blue than purpleThe same number of students prefer yellow or purple as the number who prefer blueWhat are tally marks in a frequency table?Tally marks makes use of vertical lines to represent data, in which the fifth count is represented by a diagonal line across four vertical lines;
The data in the table are as follows
The number of students that prefer red = 5 + 1 = 6
The number of students that prefer yellow = 2
The number of students that prefer Blue = 5
The number of students that prefer purple = 3
The number of students that prefer Green = 6
Therefore;
Twice as many students prefer green than purpleTwo more students prefer blue than purpleThe same number of students prefer yellow or purple as the number who prefer blueLearn more about frequency tables in statistics here:
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You receive $8 for raking leaves for 2 hours. What is your hourly wage?
An expression is
An hourly wage is $
Answer:
your hourly wage is 4
Step-by-step explanation:
Hourly wage will be 4 if done correctly.
is {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} a relation? why?
Answer: Yes.
Step-by-step explanation: In each bracket, there is an odd and even number.
Worth all my points plus brainliest help plzzz 1-5
Answer:
1. H, - 6/5
2. B, 8
3. B, 15
4. B, integer
5. F
Step-by-step explanation:
Hope this helps and pls do mark me brainliest if you can:)
Simplify. Show your work.
a. |5 - 7| =2
b. -3|11 - 15|=-12
Answer:
|5 - 7| =2
What you want to do first is to do the equation 5-7 which is -2 but there is an absolute value sign so 2.
-3|11 - 15|=-12
For this one it is a little more difficult but all you have to do is do the equation 11-15 which is -4 but there is an absoulte value sign so 4 you then multiply 4 by -3 which is -12 bam.
unit 1 algebra 1 test apex
The solution to the equation 3x + 7 = 16 - 2x is x = 9/5.
Option A is the correct answer.
We have,
To solve the equation 3x + 7 = 16 - 2x for x, we need to isolate the variable x on one side of the equation.
Let's solve it step by step:
Start with the original equation:
3x + 7 = 16 - 2x
- Add 2x to both sides of the equation to get rid of the -2x on the right side: 3x + 2x + 7 = 16 - 2x + 2x
- Simplifying, we have: 5x + 7 = 16
- Next, subtract 7 from both sides of the equation to isolate the term with x: 5x + 7 - 7 = 16 - 7
- Simplifying, we have: 5x = 9
- Finally, divide both sides of the equation by 5 to solve for x: (5x)/5 = 9/5
- Simplifying, we have: x = 9/5
Therefore,
The solution to the equation 3x + 7 = 16 - 2x is x = 9/5.
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The complete question:
Solve the following equation for x: 3x + 7 = 16 - 2x
a) x = 9/5
b) x = 5
c) x = 4
d) x = 6
What is the ansswer to 34.05×106 ?
Answer:
See below.
Step-by-step explanation:
106*34.05=3609.3
-hope it helps
The number of boys in a school is 120% the number of girls at the school find the number of girls if there are 360 boys
Answer:
there are 300 girlsStep-by-step explanation:
Why are the following notations not used in limits: x→∞⁻, x→∞⁺, x→-∞⁻, and x→-∞⁺?
The notations x→∞⁻, x→∞⁺, x→-∞⁻, and x→-∞⁺ are not used in limits because they are ambiguous and can lead to confusion.
What are Limits?
In calculus, limits are used to describe the behavior of a function as the input values approach a certain value, usually infinity or a specific point. The concept of limits is essential in calculus and is used to define derivatives and integrals.
The notations x→∞⁻, x→∞⁺, x→-∞⁻, and x→-∞⁺ are not used in limits because they are ambiguous and can lead to confusion. In the limit notation lim x→a, the variable x is approaching the value a from both sides, meaning it can approach a from either the left or the right.
The notations x→∞⁻, x→∞⁺, x→-∞⁻, and x→-∞⁺ suggest that x is only approaching infinity or negative infinity from a specific direction, which is not the case in limit notation. Therefore, the notations x→∞⁻, x→∞⁺, x→-∞⁻, and x→-∞⁺ are not used in limits to avoid confusion and ensure clarity in mathematical expressions.
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multiple regression analysis is applied when analyzing the relationship between __________.
Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.
Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.
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Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11
pls input the 3 points
The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).
To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:
Point 1:
Let's set x = 0 and solve for y:
2y = 3(0) + 11
2y = 0 + 11
2y = 11
y = 11/2 = 5.5
So, the first point is (0, 5.5).
Point 2:
Let's set x = 1 and solve for y:
2y = 3(1) + 11
2y = 3 + 11
2y = 14
y = 14/2 = 7
The second point is (1, 7).
Point 3:
Let's set x = -1 and solve for y:
2y = 3(-1) + 11
2y = -3 + 11
2y = 8
y = 8/2 = 4
The third point is (-1, 4).
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If the square root of a number is equal to twice the same number what is the number?
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
let the number be x , then
\(\sqrt{x}\) = 2x ( square both sides )
x = (2x)² = 4x² ( subtract x from both sides )
4x² - x = 0 ( factor out x from each term )
x(4x - 1) = 0
Equate each factor to zero and solve for x
x = 0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = \(\frac{1}{4}\)
Assuming x > 0 then the number is \(\frac{1}{4}\)
As a check
\(\sqrt{\frac{1}{4} }\) = \(\frac{1}{2}\) and 2 × \(\frac{1}{4}\) = \(\frac{1}{2}\)
A reinforced concrete T-beam has the following properties:
Beam Web Width= 300 mm
Effective depth= 400 mm
Slab thickness=120 mm
Effective flange width= 900 mm
The beam is required to resist a factored moment of 750 KN-m. Using fy=345 Mpa and fc'= 28 Mpa, what is the required tension steel area in square mm. Use shortcut method-Design of T-beams
The required tension steel area for the reinforced concrete T-beam is approximately 3.82 square mm.
To calculate the required tension steel area for the reinforced concrete T-beam using the shortcut method,
Step 1: Calculate the effective depth of the T-beam.
d = Effective depth = Effective depth of the T-beam - Cover to tension steel
= 400 mm - (Tension steel diameter + Clear cover)
(Assuming a standard tension steel diameter and clear cover, let's say 25 mm and 40 mm, respectively)
= 400 mm - (25 mm + 40 mm)
= 335 mm
Step 2: Determine the lever arm (a) for the T-beam.
a = (d / 2) × (1 + (4 × Web Width) / Effective Flange Width)
= (335 mm / 2) × (1 + (4 ×300 mm) / 900 mm)
= 167.5 mm ×(1 + 1.33)
= 167.5 mm × 2.33
= 390.975 mm (approx. 391 mm)
Step 3: Calculate the moment of resistance (Mr) for the T-beam.
Mr = Factored moment / (0.87 ×fy × a)
= 750 KN-m / (0.87 × 345 MPa × 391 mm)
= 750,000 N-m / (0.87 ×345 × 10³ N/mm² × 391 mm)
= 0.00368 (approx.)
Step 4: Calculate the area of tension steel (Ast) required for the T-beam.
Ast = Mr / (0.87 × fy × (d - 0.42 × x))
= 0.00368 / (0.87 × 345 ×10³ ×(335 - 0.42 × 335))
= 0.00368 / (0.87 × 345 × 10³ × 335 × (1 - 0.42))
= 0.00368 / (0.87 × 345 ×10³ × 335 × 0.58)
= 0.00368 / (0.87 × 345 ×10³× 335 ×0.58)
= 3.82 × 10³ (approx.)
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52÷25
What is the answer :)
Answer:
2.08 this is answer
Question
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
Question
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
Answer:
29 BECUSE JUST BECUSE
Step-by-step explanation:
The demand function for a certain make of replacement cartridges for a water purifier is given by the equation p=−0. 01x2−0. 1x+21 where p is the unit price in dollars and xis the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $9/cartridge. (Round your answer to two decimal places. )
The demand function for a certain is given by the equation p=−0. 01x2−0. 1x+21 then the determined values will be −50.905557, −0.427737,41.333295.
From the given values,
R=px
9 = (−0. 01x2−0. 1x+21) x
0.01x3+0.1x2−21x−9=0
By reducing the equation,
X = −50.905557, −0.427737,41.333295.
Therefore, the determined values will be −50.905557, −0.427737,41.333295.
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help me pleasee, my brain won't work
The given fractions have equal value, so Liam is correct.
How to find the equivalent fractions?Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.
Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.
Thus, we can say that:
The fraction -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.
The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient
The fractions have equal value, so Liam is correct
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What type of system of linear equations is this?
Y=3x-1
3x+y=-1
Answer:
B. consistent and dependent.
Step-by-step explanation:
y = -3x – 1
{
3x + y = -1
__________
This system is consistent and dependent because it has an infinite amount of solutions.
The easiest way to tell if the solutions are infinite is if the equations are equivalent.
As you can see, 3x + y = -1 is standard form, while y = -3x – 1 slope-intercept form.
We can tell that they are equivalent by converting the standard form equation to slope-intercept to see that they are equivalent.
All you need to do is subtract both sides by 3x to get the equation with respect to y so that it is slope intercept.
3x + y = -1 → 3x – 3x + y = -1 – 3x → y = -3x – 1.
[y = -3x – 1] = [y = -3x – 1].
Independent = one solution pair.
Inconsistent = no solution pair.
Consistent = at least one solution.
Dependent = infinite solutions.
Discuss THREE ways on how bad behaviour in sport in a country can
dampen nation building.
(3 x 2) C
Fynlain
ba
ode
f
othie
in.
enorts can encourage positive
Answer:
Step-by-step explanation:
chicken
Find the area of the given figure.
Answer:
not enough information
17. A circle with radius x is shown below. The diagram is not drawn to scale. (1 point)
6
26
What is the value of x? Round the answer to the nearest tenth.
Ox=20.0
Ox=25.3
Ox= 14.3
Ox=26.7
The value of x which is the radius of the circle in the image above, is calculated to the nearest tenth as: x = 14.3.
How to find the Radius of the Circle?The circle that is shown above has a radius whose length is represented as x. Since the segment that is drawn from the center of the circle intercepts the chord and is perpendicular to the chord, therefore, it bisects the chord into equal segments.
Thus, the perpendicular segment and half of the segment of the chord will form a right triangle with the radius of the circle.
Therefore, using the Pythagorean Theorem, we have:
x = √(13² + 6²)
x = 14.3 [to the nearest tenth].
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Ben paid $45 for an old guitar he cleaned the guitar, then resold it after marking the price 15% he used 36% of the money he got for the the guitar to buy books how much money did ben spend on books?
Answer:it’s $18.63
Step-by-step explanation:
($45+.15($45)).36
Answer:
18.63
Step-by-step explanation:
\(\left \{ {{y=2} \atop {x=2}} \right. 17.49 +?=18.63\)
Which of the following is equivalent to 8^(1/3)?
Option 1
Option 2
Option 3
Option 4
(look at photo for answers)
the answer is option 2....
Answer:
Option 2
Step-by-step explanation:
when the power appears as a fraction, take the root of the number based on the denominator of the fraction when numerator is equal to 1
Grace went on a road trip. She had 293 miles to drive on the first day. She was only able to drive 247.7 miles before she had to take a rest stop. What percent of the trip was she able to complete?
Answer:
84.53%
Step-by-step explanation:
total=293
completed=247.7
percentage=247.7/293. ×100%
=84.539%
Answer:
The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production
Write an equation perpendicular to y = -2x - 7 that passes through the point (4,3)
can someone help me please also can u check my page for the recent photos to get answers please
Answer
Step-by-step explanation:
When 9 2/3 is written simplest radical form,the value remain under radical is number 3.
==========================================
Work Shown:
\(9^{2/3}\\\\\left(9^{2}\right)^{1/3}\\\\\left(81\right)^{1/3}\\\\\left(27*3\right)^{1/3}\\\\\left(27\right)^{1/3}*\left(3\right)^{1/3}\\\\\left(3^{3}\right)^{1/3}*\left(3\right)^{1/3}\\\\3^{3*(1/3)}*\left(3\right)^{1/3}\\\\3^{1}*\left(3\right)^{1/3}\\\\3*\left(3\right)^{1/3}\\\\3\sqrt[3]{3}\\\\\)
Interestingly, everything is a 3, though this won't happen every time with these types of problems.
Riding an elevator down 3 floors
Answer:
And, then what? rp?
Step-by-step explanation:
Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.
2 = 2(m − 8) − 2
m =