Answer:
Austin: [tex]25[/tex]
Dante: [tex]64[/tex]
Yoko: [tex]16[/tex]
Step-by-step explanation:
Total: [tex]105[/tex]
Austin: [tex]y+9[/tex]
Dante: [tex]4y[/tex]
Yoko: [tex]y[/tex]
Equation:
[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]
Invisible Steps:
Combine like terms: [tex]y+y+4y=6y[/tex]
Subtract 9 from each side: [tex]6y+9-9=6y[/tex]
[tex]105-9=96[/tex]
Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]
[tex]96[/tex] ÷ [tex]6 = 16[/tex]
7. Fill in the columns in the following table. What quantity should
a profit-maximizing firm produce? Verify your answer with
marginal reasoning.
Answer:
The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.
Write the equation of the line in fully simplified slope-intercept form.
[tex]y = -\frac{1}{2}x - 1[/tex]
Step-by-step explanation:
Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]
With this value of the slope, we can write the general slope-intercept form of the equation as
[tex]y = -\frac{1}{2}x + b[/tex]
To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:
[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]
Therefore, the slope-intercept form of the equation is
[tex]y = -\frac{1}{2}x - 1[/tex]
Please any math experts help thanks you
Answer:
[tex]\frac{p^2-25}{p^2-10p+25}[/tex]
We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]
-----------------------------
[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]
Now we can factorise the denominator:
[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]
[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]
Cancel out the common factor of (p-5):
[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Step-by-step explanation:
(2ab^2 + 3c^2) (2ab^2 + 3c^2) = 4a^2b^4 + 6ab^2c^2 + 6ab^2c^2 + 9c^4
= 4a^2b^4 + 12ab^2c^2 + 9c^4
Highland Park is located between two parallel streets, Walker street and James Avenue. The park faces Walker Street and is bordered by two brick walls that intersect James Avenue at point C, as shown below. Walker St. Highlands Park brick wall brick wall 60 James Ave. What is the measure, in degrees, of ZACB, the angle formed by the park's two bri walls?
Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.
Recall:
Alternate angles are congruent and have equal angle measures.Angles on a straight-line = 180 degrees.The diagram showing the information and sketch of the Highland Park is attached below (see attachment).
Thus:
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
Therefore,m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
Substitutem<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.
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What is the solution of this inequality?
r−10>−7
Drag and drop the choices to correctly complete the inequality.
r Response area Response area
Answer:
=r-10+10>-7+10
=r>3
first add +10 to the both sides so as to balance the inequality then do a simple calculation which results you to the final answer.
For r > 3, the inequality r - 10 > -7 is satisfied.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is inequality?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An inequality is a relation comparing two expressions. For example -
3x + 4 > 5
ax + b < c
We have the following inequality -
r - 10 > -7
We can write -
r - 10 > -7
r - 10 + 10 > - 7 + 10
r > 3
Therefore, for r > 3, the inequality r - 10 > -7 is satisfied.
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The price of a scarf is reduced by $2.19. The price is now $8.40. What was the original price of the scarf? Enter your answer in the box. $WHOEVER ANSWER GETS BRAINLESS NEED HELP
If the price was reduced by $2.19, the original price of the scarf would be $2.19 + $8.40 which is $10.59
Answer:
The original price of the scarf was $10.59.
Step-by-step explanation:
"The price of a scarf is reduced by 2.19. The price is now 8.40."
Let X be the original price of the scarf.
That can be written as an equation like this:
x - 2.19 = 8.40
Now, just solve for x. Add 2.19 to both sides:
x = 10.59
The original price of the scarf was $10.59.
100÷5+25×3=
AYUDAA ES PARA HOYYY
Answer:
95
Step-by-step explanation:
100 divided by 5 plus 25 times 3 is 95 :)
100/5=20
25x3=75
75+20=95
95
Estimate each product 11.9×21=
Answer:
249.9
uhm.. correct me if im wrong
The babysitter charges $10 per hour plus $5 for gas to come to the house. Let h represent the number of hours. Which expression represents the total
cost of hiring a babysitter for the evening?
Explanation:
10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.
For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.
Please help me Asp please really fast
3
Which number line shows a number equivalent to
1 Sume
Choose 1 answer:
ctions
++
wat tract
>
2
0
1
A
U
HHH
iz 1
X 8 min
>
2
0
1
N
ctions
FE
4HHHH
0
>
2
1
iz 2
6 3 mor
Answer: B
Step-by-step explanation:
2/3 means 1.5
Please Help! I don't understand how the Alabama paradox works. I will give you a lot of points!
--PLEASE show all work
The table shows the populations, in thousands, of the three states in a country with a population of 3760 thousand. Use Hamilton's method to show that the Alabama paradox occurs if the number of seats in congress is increased from 24 to 25
Answer:
State A loses a seat to State B when the total is increased
Step-by-step explanation:
The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.
The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).
If the whole number is 1 or greater, the number of seats allocated at least that whole number.
If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.
__
The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.
When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.
_____
Additional comment
Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.
This is due today please helpppp meeee I really need help
Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $85 and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ? Someone please help!!!
Answer:
Carla's suitcase was a better purchase.
Step-by-step explanation:
The complete question is:
Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?
Solution:
Cost Price of Carla's suitcase = $75
Discount% for Carla = 19%
The amount paid by Carla is,
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85
Discount% for Jeana = 20%
The amount paid by Jeana is,
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
Is (2, 1) a solution to the equation y = 2x - 1?
Answer:
No
Step-by-step explanation:
Substitute the values for their respective variable and evaluate.
[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]
Therefore, (2, 1) is not a solution to the equation y = 2x - 1.
(2, 1) is in the form of (x, y).
Then,
☆ x = 2
☆ y = 1
Equation =》y = 2x - 1
Now, substitute the values.....
=》y = 2x - 1
=》(1) = 2(2) - 1
=》1 = 4 - 1
=》 1 ≠ 3
So, (2, 1) is NOT a solution to the equation y = 2x - 1.
______
Hope it helps ⚜
The sum of one fifth of a number and 3 7/10 is 7. Find the number
Answer:
Step-by-step explanation:
3
In parallelogram HJKL if JM=19 find ML.
Answer:
19
Step-by-step explanation:
in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps
Simplify the liner expression
−2/3a+1/8−1/6a−3/4
The mean of the following numbers 78, 88, 89, 90, and 95 is 88.
Answer:
that's definitely true
720 is what percent of $800?
the answer is 90 hope this help.
I need a help.... thankyouu to those who can ans. this:))
A. BSA Method
B. Clark's Rule
(20 points)
A
Step-by-step explanation:
just trust me that is the correct answer
Find the product using formula ...
formula = ( a + b ) ( a - b )
a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}
[/tex]
Answer:3.36
Hope it helps.
Do comment if you have any query.
Will all rational functions have at least one vertical asymptote? Justify your response with an
explanation
Answer:
no
Step-by-step explanation:
A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.
Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.
An example with no vertical asymptotes is ...
f(x) = (x -1)/(x^2 +1)
Solve the system of equations using the substitution method.
5x−4y=−15
x−3y=−3
(3, 0)
(0, -4)
(-3, 0)
(0, -3)
Answer:
(-3,0)
Step by step explanation:
make x the subject of the formula in equation 2
x-3y=-3
x = 3+3y
substitute x in equation 1
5(3+3y)-3y = -15
open the brackets
15+15y-3y = -15
15+12y=-15
12y = 15-15
12y = 0
divide both sides by 12
y = 0
substitute y in equation 2
x - 3(0) = -3
x - 0 = -3
x = -3+0
x = -3
therefore x = -3
y = 0
Look at attached photo. Will give brainiest to correct answer. Trigonometry.
Answer:
Step-by-step explanation:
How do you evaluate (-12)3
Step-by-step explanation:
-1728 y'all i do by using calculator and it is correct
Answer:
its -1728
Step-by-step explanation:
i worked it out right.
Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Round
your answer to one decimal place *
Your answer
Answer:
61.8
Step-by-step explanation:
[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]
HELP HURRY !! is the graph a function ?
Answer:
Yes.
Step-by-step explanation:
If you use the vertical line test, you'll see that the line only touches the graph at one point.
Fireworks are fired from the roof of a 100-foot building and travel 84 feet per second. The equation h = -16t 2 + 84t + 100 models the height h of the fireworks at any given time t seconds.
The firework reaches the ground after 6.25 seconds.
A projectile is the curved motion of an object thrown into space under the influence of gravity.
Given that the firework experiences a projectile motion given by the equation:
h = -16t² + 84t + 100
where h is the height after t seconds.
The firework reaches the ground when h = 0, hence:
0 = -16t² + 84t + 100
t = 6.25 seconds.
Therefore the firework reaches the ground after 6.25 seconds.
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The area between z = -1.25
And z = 0.32
Answer:
there a answer I'm not good in math