Answer:
distributive property
Step-by-step explanation:
Find the minimum value of
C = x + 3y
subject to the following constraints:
(9x + 2y > 35
x + 3y > 14
X>0
y20
C = [?]
The minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have:
C = x + 3y
Subject to constraints:
9x + 2y > 35
x + 3y ≥ 14
X ≥ 0
y ≥ 0
As we can see in the inequality:
x + 3y ≥ 14
Compare with x + 3y = C
The minimum value of x + 3y is 14
Thus, the minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
What rational number is between 6 2/3 and square root of 48
Answer:
h
Step-by-step explanation:
A rectangle has length 3x^2-5x+1 and width x^2-4. Which expression represents the perimeter of the rectangle? Image shows the options.
Answer: [tex]8x^2-10x-6[/tex]
Step-by-step explanation:
Given : length = [tex]3x^2-5x+1[/tex] , width = [tex]x^2-4[/tex]
Perimeter of rectangle = 2 ( length + width)
Then, Perimeter of given rectangle = [tex]2 (3x^2-5x+1+x^2-4)[/tex]
[tex]=2 (4x^2-5x-3)\\\\= 8x^2-10x-6[/tex]
Hence, the correct expression for perimeter = [tex]8x^2-10x-6[/tex]
Maria bought 5 birthday cards from a store. The price of each card was the same. After she bought the cards, her account balance showed a change of -$15.95. What would
have been the change to Marta's account balance had she only bought 1 card from the store?
$3.19
B -$3.19
C $4.50
D -$4.50
Answer:
B
Step-by-step explanation:
If the charge for five cards was -15.95, the charge for one card is -3.19 because (-15.95)/5 = -3.19
A middle school band held a car wash to raise money. if they washed 28 cars in 2 hours. At this rate, how many cars did they wash in 9 hours
A.26
B.252
C.14
D.126
Four laps around the track is equal to one mile. It takes Taylor 8 minutes to run 3 laps.
MAP TESTING HELP
How many minutes would it take Taylor to run 6 miles?
A. 16 minutes
B. 36 minutes
C. 48 minutes
D. 64 minutes
Answer:
i think 48 is the correct answer
Suppose that G(x) = F(x+6). Which statement best compares tye graph of G(x) with the graph of F(x)?
Answer:
B.
Step-by-step explanation:
The 6 has moved up because of addition instead of subtraction
Amy usually swims 20 laps in 30 minutes. What is her rate in laps per
minute?
will give brainliest
Answer:
B
Step-by-step explanation:
We can determine that it is sin, not cos, because the equation goes through the origin (0, 0).
The amplitude is 2 and since the amplitude is a for an equation in the form of asinx, the equation must have 2sinx.
Finally, the period is pi. The regular period of sinx is 2pi, so inside of the si, x must be multiplied by 2, which gets us to 2sin(2x).
I hope this helps! :)
x/4 +6 ≤ x+8 inequality
Answer:
Solution in photo
Step-by-step explanation:
Write a real-world problem where you would
want to compare rates of change for two different functions.
Answer and Step-by-step explanation:
Let us assume two boys are jogging.
Boy 1 jogging speed is 10 kilometres per hour
Boy 2 jogging speed is 20 kilometres per hour
This can be represented in terms of distance, d and time, t. When we do this, we have:
d = 10t boy 1
d = 20t boy 2
This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.
From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.
how do you text people on here
Answer:
you have to use the comment box brainly wont let you private message people
Step-by-step explanation:
lol U~U
Daryl bought 10 adult tickets and 10 children's tickets to a zombie movie for $110. Rick bought 6 adult and 5 children tickets for $63 to the same movie. How much money does each type of ticket cost
Answer:
Adult tickets = $8
Children's tickets = $3
Step-by-step explanation:
Set up a system of equations;
x = adult tickets
y = children's tickets
Daryl's situation;
10x + 10y = 110
Rick's situation;
6x + 5y = 63
Hence the system is;
[tex]\left \{ {{10x+10y=110} \atop {6x+5y=63}} \right.[/tex]
To solve by elimination, one has to multiply one of the systems by a number such that when one adds the two systems, one variable gets eliminated. One is then left with an expression that can be solved for the other variable. Finally, one can substitute the value of the other variable back, to find the value of the first variable.
[tex]\left \{ {{10x+10y=110} \atop {6x+5y=63}} \right.[/tex]
Multiply Rick's situation by (-2)
[tex]\left \{ {{10x+10y=110} \atop {-12x-12y= -126}} \right.[/tex]
Add the two equations;
-2x = -16
Inverse operations;
-2x = -16
/-2 /-2
x = 8
Substitute back in;
10x + 1y = 110
10(8) + 10y = 110
Simplify;
80 + 10y = 110
Inverse operations;
80 + 10y =110
-80 -80
10y = 30
/10 /10
y = 3
x = 8
y = 3
PLEASE HELP ME!!!!!
Select the correct answer.
The daytime temperature in Apple Valley is falling by 2.5 degrees each day. What will the net change in the daily temperature be after one calendar week?
A.
-2.5 degrees
B.
2.5 degrees
C.
-4.5 degrees
D.
-17.5 degrees
E.
17.5 degrees
Answer:
D. -17.5 Hope this helps. Pls give me brainliest :)
-15=8z+7
is the question
Answer:
z=-1
Step-by-step explanation:
8z+7=-15
8z=-15+7
z=-8/8
z=-1
Exact Form:
z = − 11/4
Decimal Form:
z == − 2.75
Mixed Number Form:
z = − 2 3/4
HOPES THIS HELPS YOU!!
PLEASE MARK MINE AS BRAINLIEST???
ASAP Which diagram shows the correct setup for an electromagnet?
Answer:
D
Step-by-step explanation:
The correct diagram is D.
The diagram that shows the correct setup for an electromagnet is Option D)
The set up of an electromagnet
The correct setup of an electromagnet involves the following steps:
1. Obtain a ferromagnetic core, such as iron, steel, or a magnetic material.
2. Wrap an insulated wire around the ferromagnetic core, forming a coil.
3. Connect the ends of the wire to a power source, such as a battery or power supply.
4. When current flows through the wire, it creates a magnetic field, magnetizing the core and forming the electromagnet.
5. The strength of the electromagnet can be controlled by adjusting the current flowing through the wire.
Learn more about electromagnet at:
https://brainly.com/question/12555869
#SPJ2
Identify the solution found in Quadrant IV. Express your answer in the form (x, y) where x and y are both integers.
(A) (-1, -7)
(B) (0,1)
(C) (2, -1)
(D) (3,1)
Answer:
I think it is C you should practice This is easy
Step-by-step explanation:
My friend and I went to buy earrings. The shopkeeper said each pair of earrings cost Rs. 12, but offered 12 pairs for Rs. 100. Roughly how much discount am I getting if I buy 12 pairs? a)10% b)12% c)30% d)45%
Answer:
c)30%
Step-by-step explanation:
Step one:
given data
The shopkeeper said each pair of earrings cost Rs. 12
if he offered 12 pairs for Rs. 100.
let us find the cost per pair
= 100/12
=Rs. 8.3 per pair
Required
The percent discount
Step two:
%percent discount= 12-8.3/12*100
%percent discount= 3.66/12*100
%percent discount= 0.305*100
%percent discount= 30.5%
Find the percent increase. Round to the nearest percent.
From 92 books to 131 books.
what is the percent increase?
Answer:
The percent increase should be 42%
Step-by-step explanation:
Subtract 131 from 92, you'll get 39
Divide, 39/92=423913....
Simply, I got 42%
Please solve and thank you
Which letters Shown below on the number line also have their opposites labeled? (A- A and D) (B- B and C) (C- A B and C) (D- B C and D)
try number 4 I thinks its that one or number 1
The length of a rectangle is equal to triple the
width. The perimeter of the rectangle is 85
centimeters. Write a system of equations to
represent this situation and then determine
the length and the width of the rectangle.
Answer:
y = 3x
2y + 2x = 85
x = 10 5/8 y = 31 5/8
Step-by-step explanation:
Let’s say that y = length and x = width. We know that the length is 3 times the width (y = 3x) and the perimeter of the rectangle is 85 (2y + 2x = 85). To solve the system of equations, substitute y = 3x into the other equation. This results in the equation 2(3x) + 2x = 85. We now simplify the equation. 6x + 2x = 85 8x = 85 x = 10 5/8.
Now that we know x, we can substitute it into either equation to solve for y. y = 3(10 5/8) y = 31 5/8
The system of equation which represent the given situation is 85 = 8x.
And the length and width of the rectangle is 36.86 and 10.62unit respectively.
What is perimeter?
Perimeter is the distance around the edge of a shape.
Formula for the perimeter of a rectangle[tex]P = 2(l+w)[/tex]
where,
P is the perimeter of the rectangle
l is the length of the rectangle
w is the width of the rectangle.
According to the given question here:
We have,
The perimeter of the rectangle is 85 unit.
Let the width of the rectangle be x unit.
Then, the length of the rectangle be 3x.
Therefore, the equation which represent the situation is given by
85 = 2(x + 3x)
⇒85 = 2(4x)
⇒ 85 =8x
⇒ x = 85/8 = 10.62unit
⇒ 3x = 10.62 × 3 = 31.86 unit.
Hence, the length of the given rectangle is 31.86 unit and width is 10.62 unit .
Learn more about the perimeter of the rectangle here:
https://brainly.com/question/15287805
#SPJ2
The price of a smart phone is "x" and is discounted 40% for a special promotion. You must also pay 7% sales tax on this purchase. What is the final price for this purchase?
Answer:
0.428x
Step-by-step explanation:
The price of a smart phone is "x" and is discounted 40% for a special promotion.
Step 1
The price after the discount is:
40% of x
= 40x/100
= 0.4x
Step 2
We calculate the exact amount the sales tax is.
You must also pay 7% sales tax on this purchase.
= 7% × 0.4x
= 7/100 × 0.4x
= 0.028x
Step 3
The final price for this purchase is calculated as:
0.4x + 0.028x
= 0.428x
Hence, the final price for this purchase is 0.428x
A circle is inscribed in a regular hexagon with side length 12 units. Find the value of x.
The image of the inscribed circle is missing so i have attached it.
Answer:
x = 35
None of the given options are correct.
Thus, Option D is the answer.
Step-by-step explanation:
From the attached image, we can see that there are two lines projecting out of the centre of the circle with one having it's endpoint touching the edge of the hexagon while the other is perpendicular to the centre of a side of the hexagon and labeled x has it's endpoint touching both the circumference and the hexagon side.
Since line labeled x projects from the centre of the circle to the circumference, we can say that the radius is x.
The triangle formed is a right angled triangle with the other part touching only the hexagon as the hypotenuse.
We see the remaining part between the circle and the hexagon of this hypotenuse line given as 2.
Thus, hypotenuse = x + 2
This is because from the centre to the circumference is x as earlier discussed and this hypotenuse line crosses the circumference of the circle before touching the edge of the hexagon.
Using pythagoras theorem, we can find x:
x² + 12² = (x + 2)²
x² + 144 = x² + 4x + 4
x² will cancel out to give;
4x + 4 = 144
4x = 144 - 4
4x = 140
x = 140/4
x = 35
answer pleasee been stuck on these type of problems all night! :)
Answer:
ok
[tex]\pi = \frac{22}{7} or \: 3.142[/tex]
Step-by-step explanation:
[tex]c = 2\pi \: r \\ c = 2 \times \frac{22}{7} \times 15 \\ 94.28[/tex]
Answer:
C = 90 units²
Step-by-step explanation:
Since we are using 3 for π, simply substitute the information into the equation:
C = 2(3)(15)
C = 90 units²
1. -12(x+4)=60
2. 9(x-4)=81
solve for x
Answer:
1. x=-9
2.x=13
Step-by-step explanation:
Given the rule complete the table for the function rule for the following input values:
Answer:
A-0 B-4 C-5 D-3.5 E-6 F-4.5
Step-by-step explanation:
I followed the steps
Answer:
2, 2.5, 3, 3.5, 4, 4.5
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Answer:2
Step-by-step explanation:
The temperatures of Charleston, South Carolina on May 3rd are recorded in the table below. Determine the equation that models this data.
Answer:
Is there more of the problem i dont see the what y and x are equivalent to
Step-by-step explanation:
How many 7 digit numbers have6 9 s and no 9 in ones place
Answer:
1062882
Step-by-step explanation:
Seven digits numbers, with repetition of digits, having 6 or 9 at the last one's place :
The first six digits can be filled with 9 options each (numbers 1 to 9) , & the last digit can be filled with 2 options (number 6 & 9)
So, total 7 digit numbers as per given condition = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 2 = 1062882