Answer:
b=−ax+4a+3x
a= b−3x −x+4
Step-by-step explanation:
The values of a and b make the solution of the equation x = -5 are 1 and -6
How to determine the values of a and b?The equation is given as:
a(4-x) = -3x+b
When x = -5, we have:
a(4+5) = -3(-5)+b
Evaluate the products
9a = 15 + b
Set a = 1
9(1) = 15 + b
Make b the subject
b = 9 - 15
b = -6
Hence, the values of a and b make the solution of the equation x = -5 are 1 and -6
Read more about equations at:
https://brainly.com/question/14323743
A car can travel 64 mlles in two hours, 128 miles in four hours, and 192 mlles In six hours. What is the constant rate of change?
Answer:
1 hour/ 32 miles
Step-by-step explanation:
catrina earns $19.32 an hour. If she works a 40 hour each week consistently and takes only 2 weeks off for vacation in a year. How much will her annual earnings be?
Answer:
$38,640.00
Step-by-step explanation:
We know that Catrina earns $19.32 an hour. We also know she works 40 hours a week. So first, let's multiply 19.32 by 40 to see how much she makes a week.
19.32 × 40 = 772.80
Because of this, we now know that Catrina makes $772.80 a week. There are 52 weeks in a year. However, since she takes 2 weeks of vacation, we need to take off 2 weeks in the year. This leaves us with 50.
Finally, we multiply 772.80 and 50 to find her annual earnings:
772.80 × 50 = 38640
Therefore, her annual earnings will be $38,640.00.
A 2 gallon container of laundry detergent costs $21.36. What is the price per quart?
✩ Answer:
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[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Turn your information into a fraction by inputting [tex]21.36[/tex] as the numerator and [tex]2[/tex] as the denominator:
[tex]\frac{21.36}{2}[/tex]✺ Expand [tex]\frac{21.36}{2}[/tex] by multiplying both numerator and the denominator by [tex]100[/tex]:
[tex]\frac{2136}{200}[/tex]✺ Reduce the fraction [tex]\frac{2136}{200}[/tex] to lowest terms by canceling out the common factor, [tex]8[/tex]:
[tex]\frac{267}{25}[/tex]✺ Divide the numerator by the denominator:
[tex]\boxed{\bold{10.68}}[/tex]
[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
"ටᆼට"
How many groups of 2/3 are in 3/5
Answer:
There are 9/10 groups of 2/3 in 3/5.
Step-by-step explanation:
Divide 3/5 by 2/3
Rewrite the expression using an exponent 9x9x9=
Answer:
9³ or 9^3
Step-by-step explanation:
Exponents pertains to how many times you multiply the base number to itself.
So for this, 9 is being multiplied 3 times to itself, thus it is 9 cubed or 9 raised to the power of three.
Answer:
9 to the 3rd power:)
Step-by-step explanation:
whats 5.4 times 3.72
Answer:
20.088
Step-by-step explanation:
hope this helps
Answer:
20.088
Step-by-step explanation:
multiply
5.4 x 3.72 = 20.088
Abbys mother is making treat bags for the 30 students in abbys class. She purchased bags at 5 for 1 candy bars at 10 for 0.50 and whistles at 3 for 0.75. If she puts 1 candy bar and 1 whistle I’m each bag how much will Abbys mother spend not including tax?
Answer:
Abby's mother spent $9.75 for the classroom not including tax.
Step-by-step explanation:
Know:
5 bags for 1 dollar
10 candy bars for 50 cents
3 whistles for 75 cents
5×6=30
10×3=30
3×10=30
5 times 6 is thirty. So find the product of 6 and 1 which is 6. 6 is the overall cost of bags.10 times 3 is 30. So find the product of 3 and .50 which is 1.50. 1.50 dollars is the overall cost of candy bars.3 times 10 is 30. You then find the product of 3 and .75. The product of this is 2.25 which is the total cost of whistles.Next you add all the values together which are 6.00 + 1.50 + 2.25 this equals $9.75You have space in your garden for 50 small flowering bulbs. Bulb A cost $0.45 each and
bulb B cost $0.65 each. Your budget allows you to spend $26.90 on bulbs. How many of bulb A and how many of bulb B can you buy?
_______number of bulb A
_______number of bulb B
Answer:
A = 28
B = 22
Step-by-step explanation:
All money will be recorded in pennies
Let A = the 45 Bulb
Let B = the 65 bulb
A + B = 50 (1)
45A + 65B = 2690 (2)
Multiply (1) by 45 and subtract that from (2)
45A + 65B = 2690
45A + 45B = 2250 Subtract
20B = 440
B = 22
A + B = 50
A + 22 = 50
A = 50 - 22
B = 28
Check
45*28 + 22* 65 =
1260 + 1430 = 2690
For each model below write the portion of the grid that is shaded as a percent and as a fraction. EXPLAIN.
Answer:
Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together
Step-by-step explanation:
A mathematical phrase containing at least one variable.
If you make a copy of a puzzle peice using a scale factor of 0.2 will the copy be larger smaller or the same size
Answer:
sMaLlEr (not sure so sorry please don't hate me dude or dudett
16 cm
12 cm
radius of cylinder = 5 cm
radius of cone = 4 cm
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder
as shown, what is the volume of the alr space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of pl'.)
Michael has a credit card with an APR of 15.33%. It computes finance charges using the daily balance method and a 30-day billing cycle. On April 1st, Michael had a balance of $822.05. Sometime in April, he made a purchase of $77.19. This was the only purchase he made on this card in April, and he made no payments. If Michael’s finance charge for April was $10.71, on which day did he make the purchase?
a. April 5th
b. April 10th
c. April 15th
d. April 20th
ANSWER IS: d. April 20th
Answer:
yes D is the correct answer
please keeps as Brainly list
d. april 20th on edge2021
Find the distance to the nearest tenth,between S(6,5) and T(-3,-4)
Answer:
The answer is 12.7 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
S(6,5) and T(-3,-4)
The distance between them is
[tex] |ST| = \sqrt{ ({6 + 3})^{2} + ({5 + 4})^{2} } \\ = \sqrt{ {9}^{2} + {9}^{2} } \\ = \sqrt{81 + 81} \\ = \sqrt{162} \\ = 9 \sqrt{2} \: \: \\ = 12.7279...[/tex]
We have the final answer as
12.7 units to the nearest tenthHope this helps you
Find the midpoint of the segment with the following endpoints.
(8,9) and (4,3)
Answer:
The midpoint of the segment is (6,6).
Step-by-step explanation:
To solve this problem, we are going to use the midpoint formula, which is shown below:
( (x1+x2)/2, (y1+y2)/2 )
If we plug in the values that we are given in the question, we get:
( (8+4)/2, (9+3)/2)
We should add together the two numbers in the numerator of each fraction to begin the simplification process:
(12/2, 12/2)
Now, we can perform the division to find our final answer.
(6,6)
Therefore, the correct answer is (6,6).
Hope this helps!
Calculate the sum of the first 100 numbers. (Try to find the shortest way.)
Answer:
The number series 1, 2, 3, 4, . . . . , 99, 100. Therefore, 5,050 is the sum of positive integers upto 100.
Step-by-step explanation:
The sum of the numbers 1-100 would be equal to the number of pairs (50) multiplied by the sum of each pair (101), or 50 x 101 = 5,050.
Determine if the two triangles are congruent. If they are, state how you know.
Answer:
SAS
Step-by-step explanation:
It tells you that there are two sides equal, and they both have a 90 degree angle. This means that they are congruent because of side, angle, side, or SAS.
Hope this is helpful!!
Place each number in its correct location on the numberline.
Answer:
Step-by-step explanation:
-8.5
-|4.5|
-3.5
-1.5
|-3.5|
4.5
|5.5|
What is the least common multiple of the numbers 3 16 and 20 
Answer:
240
Step-by-step explanation:
See photo below
Credit goes to: calculatorsoup.com
Find the difference. 5wx²-2wx²
a. 3
b 2wx²
c 3wx²
d 4wx²
Answer:
3x²
Step-by-step explanation:
3. In the same opera theater personal balcony sections with three rows of seating are being mapped as well. In
these sections there must be an odd number of seats in each row and each row must have two more seats
than the one before it. The last stipulation is that the front row must have one quarter the total seats in the
back 2 rows combined. How many seats will be in each row?
Answer:
Number of seats in first row = 2
Number of seats in 2nd row = 4
Number of seats in 3rd row = 6
Step-by-step explanation:
Let's say number of seats in first row is x.
Now we are told that each row must have two more seats
than the one before it.
Thus, the remaining 2 rows have;
(x + 2) and (x + 4) seats respectively.
We are told that that the front row must have one quarter the total seats in the
back 2 rows combined.
Thus;
x = ¼((x + 2) + (x + 4))
Multiply both sides by 4 to give;
4x = x + 2 + x + 4
4x = 2x + 4
4x - 2x = 4
2x = 4
x = 4/2
x = 2
Thus;
Number of seats in first row = x = 2
Number of seats in 2nd row = (x + 2) = 2 + 2 = 4
Number of seats in 3rd row = (x + 4) = 2 + 4 = 6
Answer:
3, 5, and 7
Explanation:
look at photo attached
There are 14 girls and 12 boys in a class what is the ratio of girls to students
Answer:
14:26
Step-by-step explanation:
Because there is 14 girls and in all as students there is 26 of them.
Please help asap, no rocky!
I need help ASAP PLEASE SOLVE
Answer:
the second one has the grater y nter...
Step-by-step explanation:
In the number 0.932, the value of the 3 is
3
.3
.03
.003
Please pick one of them?
.03
in 0.932, if you take away each number except 3, you'll be left with 0.030 or .03
-3
0
-1
4
2
7
4
What is the range
Answer:
10
Step-by-step explanation:
total number count:7
Lowest #: -3
Highest #: 7
Range: 10
<3
RedMath help guys please
Answer:
- 4 / 9
Step-by-step explanation:
..........................
if someone can anwser this
Answer:
944
Step-by-step explanation:
Answer:
944
Step-by-step explanation:
L*W*H then add them
Yuppietown has two food stores, La Boulangerie, which sells bread, and La Fromagerie, which sells cheese. It costs $1 to make a loaf of bread and $2 to make a pound of cheese. If La Boulangerie’s price is P1 dollars per loaf of bread and La Fromagerie’s price is P2 dollars per pound of cheese, their respective weekly sales, Q1 thousand loaves of bread and Q2 thousand pounds of cheese, are given by the following equations: Q1 = 14 − P1 − 0.5P2 and Q2 = 19 − 0.5P1 − P2. (a) For each store, write its profit as a function of P1 and P2. Then find their best-response
Answer:
Step-by-step explanation:
Given that:
Q1 = 14 − P1 − 0.5P2
Q2 = 19 − 0.5P1 − P2
Recall that:
Profit = Total revenue - Total cost
π₁ = P₁Q₁ MCQ₁
π₁ = P₁(14 - P₁ - 0.5P₂) - Q₁
π₁ = 14P₁- P₁² - 0.5 P₁P₂ - 14 + P₁ + 0.5P₂
π₁ = 15P₁ - P₁² - 0.5P₁P₂ + 0.5P₂ - 14
π₂ = P₂ (19 - 0.5P₁ - P₂) - 2(19 - 0.5P₁ - P₂)
π₂ = 19P₁ - 0.5P₁P₂ - P₂² - 38 + P₁ + 2P₂
π₂ = 21P₂ - P₂² - 0.5 P₁ P₂ + P₁ - 38
The profit functions are π₁ & π₂
The best-response function from firm 1 is;
π₁ = 15P₁ - P₁² - 0.5P₁P₂ + 0.5P₂ - 14
[tex]\mathbf{\dfrac{\partial \pi_1}{\partial P_1}= 15 - 2P_1 -0.5P_2 =0}[/tex]
[tex]\mathbf{P_1= \dfrac{15-0.5P_2}{2}}[/tex]
The best-response function from firm 2 is;
π₂ = 21P₂ - P₂² - 0.5 P₁ P₂ + P₁ - 38
[tex]\mathbf{\dfrac{\partial \pi_2}{\partial P_2}= 21 - 2P_2 -0.5P_1 =0}[/tex]
[tex]\mathbf{P_2= \dfrac{21-0.5P_1}{2}}[/tex]
Here we must find the profit for each one of the two stores.
For La Boulangerie the profit is: (14 − P1 − 0.5*P2)*(P1 - $1)For La Fromagerie the profit is: (19 − 0.5P1 − P2)*(P2 - $2).Remember that profit is defined as the difference between the revenue and the cost.
For La Boulangerie we know that they sell Q1 thousand loaves. Each loaf costs $1. Each loaf is sold by P1
Then the profit is just:
P = Q1*(P1 - $1) = (14 − P1 − 0.5*P2)*(P1 - $1)
Which is already written only in terms of P1 and P2.
Similarly, for the other store we will get the profit:
P' = Q2*(P2 - $2) = (19 − 0.5P1 − P2)*(P2 - $2)
Now we must get their best response, which is given by deriving it with respect to the price and making it equal to zero:
For the first store we have:
dP/dP1 = $1 + 14 - 0.52*P2 - 2*P1 = 0
Now we solve it for P1:
P1 = ($1 + 14 - 0.52*P2)/2
Similarly, for the other store we have:
dP'/dP2 = 19 - 0.5*P1 - 2*P2 + $2 = 0
Solving it for P2 it gives:
P2 = (19 - 0.5*P1 + $2)/2
If you want to learn more about profit, you can read:
https://brainly.com/question/23103804
find the slope between the given two points (4, -3) and (8, -3)
