The quantity "q" sold by Catera is 13
Solution:
Given that Catera has found that as she increases her price, p, the quantity she sells q, decreases
The following equation relates q, the quantity she sells, to p, the price she charges:
p = 284 - 4qWhere, "p" is the price and "q" is the quantity she sells
Given that Catera price is $ 232
To find: quantity she sells
Substitute p = 232 in given equation
232 = 284 - 4q
4q = 284 - 232
4q = 52
[tex]q = \frac{52}{4} = 13[/tex]
q = 13
Therefore the quantity she sells is 13
Which ordered pair is a solution of the equation?
A- Only (4,-1)
B- Only (5,2)
C- Both (4,-1) and (5,2)
D- Neither
What is the product of (-12/14)×(-11/15)?
Answer:
22/35
Step-by-step explanation:
-12/14=-6/7
-6/7*-11/15=66/105=22/35
7x + 2y = 17
(3x +2y = 3)
Step-by-step explanation:
Multiply second equation by -1
-1 × (3x + 2y) = 3
-3x -3y = -3 now add this to the first equation
7x +2y = 17
(-3x-2y)= -3
7x +2y -3x -2y = 17 -3 (2y will eliminate -2y)
4x = 14
x = 7/2 now by using this information we found we can calculate the value for y
if 3x + 2y = 3 (replace x by 7/2)
3 ×(7/2)+2y = 3 ➡ 21/3 + 2y = 3 ➡ 2y = 3 - 21/3 ➡ 2ty = 15/2 ➡ y = 15/4
The coordinates of three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?
A . 5,7
B . 5,11
C . 9,1
D . 13,3
Answer:
A 5,7
Step-by-step explanation:
HELP ASAP 30 POINTS! GIVING BRAINLIEST TO THE CORRECT ANSWER
Which equation has the same solution as this equation?
x^2-16x+12=0
A) (x-8)^2 = 144
B) (x-4)^2 =4
C) (x-8)^2 = 52
D) (x-4)^2 = 16
Answer:
Option C. [tex](x-8)^{2}=52[/tex]
Step-by-step explanation:
we have
[tex]x^{2}-16x+12=0[/tex]
Complete the square
[tex](x^{2}-16x+8^2)+12-8^2=0[/tex]
[tex](x^{2}-16x+64)+12-64=0[/tex]
[tex](x^{2}-16x+64)-52=0[/tex]
rewrite as perfect squares
[tex](x-8)^{2}-52=0[/tex]
Move the constant to the right side
[tex](x-8)^{2}=52[/tex]
(-7,5) reflected over y axis
Answer:
add
Step-by-step explanation:
23456
Answer:
( 7, 5 )
Step-by-step explanation:
when reflected over the y axis they numbers are in quadrant 1 which means both numbers are positive.
Write a two column proof
Answer:
Step-by-step explanation:
Given:
TU ≅ WU
∠T ≅ ∠W
To Prove:
[tex]\overline{TS} \cong \overline{WV}[/tex]
Proof:
In Δ TUS and Δ WUV
STATEMENT REASON
1. TU ≅ WU 1. Given
2. ∠T ≅ ∠W 2. Given
3.∠TUS ≅ ∠WUV 3. Vertically Opposite Angles are equal
4. ΔTUS ≅ ΔWUV 4. Angle-Side-Angle congruence test.
5. ∴ TS ≅ WV 5. Corresponding parts of congruent triangles.
[tex]\overline{TS} \cong \overline{WV}[/tex].......Proved
solve the inequality 2x<2 pleaseeeeeeeeeeeeee
Answer:
x < 1
Step-by-step explanation:
Divide both sides of the inequality by 2:
(2x)/2 < (2)/2
x < 1 . . . . . . . . . . simplify
The solution is x < 1.
Solve the equation
2z-5= 11
A)z=3
B)z=8
C)z=9
D)z=11
PLEASE HELP
B. 2 * 8 - 5 = 11
2 * 8 = 16
16 - 5 = 11
z = 8
7. Let P = (-2,4).
a. Line r is horizontal and passes through P. Write an equation for r.
b. Line s is vertical and passes through P. Write an equation for s.
Answer:
see explanation
Step-by-step explanation:
(a)
A horizontal line parallel to the x- axis has equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (- 2, 4) with y- coordinate 4, thus
y = 4 ← equation of horizontal line
(b)
A vertical line parallel to the y- axis has equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 2, 4) with x- coordinate - 2, thus
x = - 2 ← equation of vertical line
A trail mix is made by adding pecans that sell for 2.50 per pound to chocolate candies that sell for 1.00 per pound. How much of each should be used to get 60 pounds of trail mix tat sell for 1.70 per pound?
Answer:
Should be used 28 pounds of pecans and 32 pounds of chocolate candies
Let
x -----> pounds of pecans used
y ----> pounds of chocolate candies used
we know that
-----> equation A
-----> -----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
Using a graphing tool
The solution is the point (28,32)
see the attached figure
therefore
Should be used 28 pounds of pecans and 32 pounds of chocolate candies
the NACI cafeteria wants to sell two 25 cm diameter medium size pizzas for the same price as one large pizza. what should the diameter be of the large pizza so that it contains the same amount of pizza as the two medium-size pizzas?
Answer:
35.34 centimeters
Step-by-step explanation:
The amount of pizza is same as the area. The pizza is in a shape of a circle. The area of a circle is:
[tex]A=\pi r^2[/tex]
Where
r is the radius (half of diameter)
Area of one medium size pizza is (diameter 25 means radius is 25/2 = 12.5):
[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=490.87[/tex]
So, area of two of these medium size pizzas is:
490.87 * 2 = 981.74
This should be the area of the large pizza. We can find the radius of that by substituting into formula. Shown below:
[tex]A=\pi r^2\\981.75=\pi r^2\\r=\sqrt{\frac{981.74}{\pi}} \\r=17.67[/tex]
Hence, the diameter would be around:
17.67 * 2 = 35.34 centimeters
Select the correct answer. If f(x) = |x| - 4, which translation is applied fo f(x) to get g(x)?
Answer:
It is a vertical translation of f(x) four units downward.
Step-by-step explanation:
We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.
It is clear that the transformed function that g(x) = f(x) - 4.
So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).
Therefore, it is a vertical translation of f(x) four units downward. (Answer)
Write the equation of a line that passes through the two points (3, 5) and (3,8).
Answer:
here the coordinates given are incorrect but I have solved it anyway see the attachment for further information
Answer:
x = 3
Step-by-step explanation:
Two points are given. The x-coordinates are one and the same. This means that x does not change, and thus the line is a VERTICAL line: x = 3.
How would the inverse operation of addition be
used to solve this equation?
36 + m = 54
A.
54 - 36 = m
B.
36 + 54 = m
C. 54 - 36 = m
D. 36 x 54 = m
Answer:
(A.C.) 54 - 36 = mStep-by-step explanation:
36 + m = 54 subtract 36 from both sides
36 - 36 + m = 54 - 36
m = 54 - 36
m = 18
Answer:
m=18
Step-by-step explanation:
36+m=54
m=54-36
m=18
chang earns $11.70 per hour plus time and a half. he worked his regular 40 hours plus 6 hours on the weekend . what is his total pay for the week?
Answer: 173.3
Step-by-step explanation:
40 hours at rate of 11.7
40*11.7=68
6 hours paid time and a half 11.7+11.7/2=17.55
6*17.55=105.3
Total pay per week:
68+105.3=173.3
Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, 17, point 2, 14, point 3, 11, point 4, 8, point 5, 5, and point 6, 2 a1 = 1; d = 3 a1 = 1; d = −3 a1 = 17; d = 3 a1 = 17; d = −3
Answer:
So the Correct option is
[tex]a_{1}=17;\ d=-3[/tex]
Step-by-step explanation:
Given:
Let
A(1, 17),
B(2, 14),
C(3, 11),
D(4, 8),
E(5, 5), and
F(6, 2) be the Points For The Sequence
Solution:
For the First Term
A( 1, 17 )
[tex]a_{1}=17[/tex]
For the second Term
B(2, 14),
[tex]a_{2}=14[/tex]
For the third Term
C(3, 11),
[tex]a_{3}=11[/tex]
For the fourth Term
D(4, 8),
[tex]a_{4}=8[/tex]
For the fifthTerm
E(5, 5)
[tex]a_{5}=5[/tex]
For the sixth Term
F( 6, 2 )
[tex]a_{6}=2[/tex]
Now Common Difference 'd' is given as
[tex]d=a_{2}-a_{1}=14-17=-3\\\therefore d=-3[/tex]
So the Correct option is
[tex]a_{1}=17;\ d=-3[/tex]
Answer:
a1 = 17; d = −3
Step-by-step explanation:
2. Juanita is trying to find the roots for the quadratic function f(x) = x2 + 64. She argues that there is no solution. Is Juanita correct? Justify your answer.
Answer:
Yes, Juanita is correct.
Step-by-step explanation:
Given:
The function given is:
[tex]f(x)=x^2+64[/tex]
The roots of a function means the values of 'x' for which the function intersects or touches the x-axis. Therefore, the roots are nothing but the x-intercepts of the function.
In order to find the roots of the above function, we should equate it to 0.
So, [tex]f(x)=0[/tex]
[tex]x^2+64=0\\\\x^2=-64[/tex]
We know that, square of any number is always a positive quantity. But here, the square of 'x' is -64 which is a negative number. This is not possible.
So, there is no real solution to the given function. In other words, we can say that the function doesn't intersect the x-axis.
Therefore, Juanita is correct in her argument.
To make 5 batches of cookies, 10 cups of flour are required. Consider the question: How many cups of flour does each batch require? Please also work out the problem.
Answer:
2 cups of flour
Step-by-step explanation:
To make 5 batches of cookies, 10 cups of flour are required.
To make 1 batch of cookies:
10 cups ÷ 5 cups = 2 cups of flour.
To find out how many cups of flour are required for each batch of cookies, divide the total cups of flour (10 cups) by the number of batches (5 batches), which equals 2 cups of flour per batch.
Explanation:To determine how many cups of flour are needed for each batch, we can set up a simple division equation where we divide the total amount of flour by the number of batches. The student is given that 10 cups of flour make 5 batches of cookies. Using this information, we calculate the amount of flour per batch as follows:
Amount of flour per batch = Total cups of flour ÷ Number of batches
Amount of flour per batch = 10 cups ÷ 5 batches
Thus, the amount of flour required for each batch is:
Amount of flour per batch = 2 cups
4x-5,4(x-5),4(x+5) drag the phrases into each box to match each expression five sang the sum of four and number five more than the product of a four and a number five less than the product of a four and a number
Answer:
The answers are- 4x-5: 5 less than the product of 4 and a number.
4(x-5): The product of 4 and the difference of a number and 5.
4(x+5): The product of 4 and the sum of a number and 5.
Step-by-step explanation:
I took the test on k12 and when I reviewed it, it said were the correct answers:)
Hope this helped!!
Hope you have a wonderful day!!:)
Jack is two weeks into his diet and now weighs 197 pounds. If he lost 3 pounds the first week and 6 pounds the second week, what was his starting weight?
Answer:
206
Step-by-step explanation:
197 + 3 + 6 = 206
To find Jack's starting weight before he started his diet, we need to add the pounds he lost in the first and the second week back to his current weight.
Jack's current weight is 197 pounds.
In the first week, he lost 3 pounds.
In the second week, he lost 6 pounds.
So the total weight lost over the two weeks is 3 pounds + 6 pounds = 9 pounds.
Now we just add these 9 pounds back to Jack's current weight to find his starting weight before the diet.
197 pounds (current weight) + 9 pounds (total weight lost) = 206 pounds.
Thus, Jack's starting weight was 206 pounds.
12x²+28x - 5 = (6x - 1)(_).
what’s the factored form ?
(6x-1)(__)
Answer:
(6x-1) (2x+5)
Step-by-step explanation:
12x²+28x - 5
=12x² +30x -2x -5
= 6x(2x+5) -1(2x+5)
=(6x-1) (2x+5)
9. Ms. Ortiz sells tomatoes wholesale. The function p(x)=–80x2 + 320x – 10, graphed below,
indicates how much profit she makes on a load of tomatoes if she sells them for 4- x dollars
per kilogram
What should Ms.Ortiz charge per kilogram of tomatoes to make the maximum profit, and what is the maximum profit she can make on a loaf of tomatoes
A. $230 at $3 per kilogram
B. $310 at $2 per kilogram
C. $320 at $2 per kilogram
D. $320 at $3 per kilogram
Answer:
The correct answer is B. $310 at $2 per kilogram
Step-by-step explanation:
1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:
function p(x)=–80x² + 320x – 10
For x = 1, price per kilogram of tomatoes would be: 4 - x = 3
–80x² + 320x – 10, replacing with x = 1
-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230
For x = 2 price per kilogram of tomatoes would be: 4 - x = 2
–80x² + 320x – 10, replacing with x = 2
-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310
For x = 3, price per kilogram of tomatoes would be: 4 - x = 1
–80x² + 320x – 10, replacing with x = 3
-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230
The correct answer is B. $310 at $2 per kilogram
Answer:The correct answer is B.) $310 at $2 per kilogram
Hope this helps :D
Wallpaper was applied ti one rectangular wall of a large room. The dimensions are shown below.
If the total cost of the wallpaper was $771.12, what was tye cost, in dollars, of the wallpaper per square foot?
Answer:
1.3889
Step-by-step explanation:
42*25.5=1,071
1,071/771.12=1.3889
what is 750x+150<1000
Answer:
[tex]x<\frac{17}{15}[/tex]
Step-by-step explanation:
We begin with the inequality: [tex]750x+150<1000[/tex]
We need to solve for x. This means that we need to subtract 150 from each side and then divide each side by 750. Then we need to simplify.
[tex]750x+150<1000\\\\750x<850\\\\x<\frac{850}{750} \\\\x<\frac{85}{75} \\\\x<\frac{17}{15}[/tex]
x<17/15
Step-by-step explanation:
While in Europe, if you drive 117 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 42.0 mi/gal ? Assume that 1euro=1.26dollars.
Answer:
Total Cost of Week = 81.20 Euros
Total Cost of Week (in dollars) = $102.31
Step-by-step explanation:
117 km per day
You drive 7 days
So,
Total miles driven = 117 * 7 = 819 km
Mileage is 42 miles per gallon. So how many gallons would it require to drive 819 km?
819/42 = 19.5 gallons
We know 1 gallons = 3.78 liters
So,
19.5 gallons would be:
19.5 * 3.78 = 73.82 liters
1.10 Euro PER LITER, so the total cost:
Total Cost of Week = 73.82 * 1.10 = 81.20 Euros
In dollars (1 euro = 1.26 dollars):
Total Cost of Week (in dollars) = 81.20 * 1.26 = $102.31
The cost on gas is approximately 7.2 euros
Data given;
Distance = 117kmrate of consumption = 42.0 mi/galcost of gas = 1.10 eurosConversion of distance from km to milesIf 1mi = 1.609km
And we cover 117km daily, let's convert this into miles
[tex]1mi=1.62km\\ x mi = 117km\\ x = 117/1.62\\ x = 72.2mi[/tex]
This shows that we cover a distance of 72.2 miles daily.
But the car consumes 1 gallon in 42 miles, let's calculate the gas required to cover 72.2 miles
[tex]42mi = 1g\\ 72.2mi =x\\ x = 72.2/42\\ x = 1.719[/tex]
The total gas consumed daily is approximately 1.72 gallons.
Cost of gas dailyThe cost of gas daily can be calculated from the data given but we have to convert the volume from gallon to liter
Gallon - Liter1L = 0.26 gallon
xL = 1.72 gallons
cross multiply this and solve for x
[tex]x = \frac{1*1.72}{0.26}\\ x = 6.6[/tex]
This shows that we consume 6.6L daily.
But we were given that the cost of 1 liter of gas is equal to 1.10 euros
1L = 1.10 euros
6.6L = x euros
[tex]x = \frac{1.1*6.6}{1}\\ x = 7.26[/tex]
The cost of gas daily is 7.26 euros or approximately 7.2 euros.
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3n-5=19
Plz give me a step by step explanation cause i already have the answer
Answer:
n=8
Step-by-step explanation:
3n-5=19
3n=19+5
3n=24
n=24/3
n=8
HELPPPPPPPPPP!!!!!!!! 15 points!
daniel bought hamburgers and fries for his classmates. the hamburgers costed 1.49 each and a bag of fries cost 1.19. ben spent a total of 50.93. the number of hamburgers was five less than twice the amount of fries, how many hamburgers and fries did he buy
Number of hamburgers bought is 23 and number of bags of fries bought is 14
Solution:Let "h" be the number of hamburgers bought
Let "f" be the number of bags of fries bought
Cost of one hamburger = $ 1.49
Cost of one bag of fries = $ 1.19
Given that Ben spent a total of 50.93
Thus we can frame a equation as:
number of hamburgers bought x Cost of one hamburger + number of bags of fries bought x Cost of one bag of fries = $ 50.93
[tex]h \times 1.49 + f \times 1.19 = 50.93[/tex]
1.49h + 1.19f = 50.93 ------ eqn 1
Also given that the number of hamburgers was five less than twice the amount of fries
number of hamburgers bought = 2(number of fries) - 5
h = 2f - 5 ---------- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "h" and "f"
Substitute eqn 2 in eqn 1
1.49(2f - 5) + 1.19f = 50.93
2.98f - 7.45 + 1.19f = 50.93
4.17f = 50.93 + 7.45
4.17f = 58.38
[tex]f = \frac{58.38}{4.17}[/tex]
f = 14Substitute f = 14 in eqn 2
h = 2(14) - 5
h = 28 - 5 = 23
h = 23Summarizing the results:
number of hamburgers bought = h = 23
number of bags of fries bought = f = 14
3.75x = 3
how to do this, please help.
Answer:
Here, invert the multiple of x and draw the other side, and multiply in the following equation to obtain the value of x.
Step-by-step explanation:
[tex]3.75x = 3 \\ x = \frac{3}{3.75} \\ x = \frac{300}{375} \\ \\ x = \frac{4}{5} \\ \\ x = 0.8[/tex]
The solution of expression is,
⇒ x = 0.8
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 3.75x = 3
Now, We can solve the expression as;
⇒ 3.75x = 3
Divide by 3.75;
⇒ 3.75x / 3.75 = 3 / 3.75
⇒ x = 0.8
Thus, The solution of expression is,
⇒ x = 0.8
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A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 3y + 4z = 1
Which of the following is a possible step used in eliminating the y-term?
(y + z = 6) ⋅ 4
(3y + 4z = 1) ⋅ 4
(y + z = 6) ⋅ −3
(3y + 4z = 1) ⋅ 3
Answer:
(y+z=6)*-3
Step-by-step explanation:
using this would make the top equation or (y+z=6) turn negative and would be this [-3y-3z=-18) using the distributive property. Since the bottom equation has a positive 3y. The -3y from the top equation and 3y from the bottom ones cancel out leaving you with z=-17 when combining like terms.
Answer:
c is the answer since you are trying to make the ys number (-/+) of the value the other y contains
(3) so you will multiply the first equation by -3 to be able to eliminate y