a) Number of days the bag will last = 12.5 days
b) The answer lies between 12 and 13.
Step-by-step explanation:
Step 1 :
Total quantity of the dog food = 25 pounds
Total quantity of food the dog eats per day = 2 pounds
We need to find number of days the bag will last
Step 2 :
The number of days the food will last can be obtained by dividing the total quantity of food by the quantity consumed per day.
Hence
Number of days = [tex]\frac{25}{2}[/tex] = 12.5 days
The answer lies between 12 and 13.
Step 3:
Answer :
a) Number of days the bag will last = 12.5 days
b) The answer lies between 12 and 13.
Find the slope of the line that passes through the points A(-3,1) and B(2,-5)
Answer:
Slope=-6/5
Step-by-step explanation:
Formula for calculating slope is y2-y1/x2-x1
y1=1
y2=-5
x1=-3
x2=2
Apply the above formula
-5-1/2-(-3)
-5-1/2+3
-6/5
We love math. Please help
Answer: the answer is 907.46 in^2 so the answer is the first choice
Step-by-step explanation:
Q1: Solve for x : 5x - 7=3
Answer:
x=2
Step-by-step explanation:
5x - 7=3
Add 7 to each side
5x -7+7 = 3+7
5x = 10
Divide each side by 5
5x/5 = 10/5
x =2
can y’all help me pleasee?
Part a: Domain : [tex]\{2,5,-1,6\}[/tex]
Part b: Range : [tex]\{3,-2\}[/tex]
Part c: The relation is a function
Explanation:
Part a: The domain of the relation is the set of all input values in the relation. In other words, the domain is the set of all x - coordinates of the ordered pairs in the relation.
Hence, from the given relation, the domain is given by
[tex]\{2,5,-1,6\}[/tex]
Therefore, the domain of the given relation is [tex]\{2,5,-1,6\}[/tex]
Part b: The range of the relation is the set of all output values in the relation. In other words, the range is the set of all y - coordinates of the ordered pairs in the relation.
Hence, from the given relation, the range is given by
[tex]\{3,-2\}[/tex]
Therefore, the range of the given relation is [tex]\{3,-2\}[/tex]
Part c: A relation is said to be a function if each element in the input value of the relation is mapped to exactly one element in the output value.
Hence, from the given relation, it is obvious that the each element in the input is mapped to exactly one element in the output value.
Thus, the given relation is a function.
PLEASE HELP
Indira created four graphs, each containing a system of equations. She drew only a part of the line for each equation. By inspection, which graph contains a system with infinitely many solutions?
Answer: THIRD OPTION.
Step-by-step explanation:
For this case it is important to know that by definition, there are three possible cases for the solution of a System of equations. These are shown below:
1. If the lines intersect each other, then the System of equations has ONE SOLUTION.
2. If the lines are parallel, then the System of equations has NO SOLUTION.
3. If the two equations are the same line, then the System of equations has INFINITELY MANY SOLUTIONS.
Observe the graphs attached in the exercise.
You can notice in the third graph that the "line a" and the "line b" are exactly the same line.
Therefore, based on the explained before, you can conclude that the third graph given in the exercise contains a System of equations with Infinitely many solutions.
Answer:
Choice 3
Step-by-step explanation:
First of all, I got 100% on EDGE. Secondly, to lines that coincide and go in the same direction have infinitely many solutions. Finally, it is correct on EDGE 2020
What is the net force on this object?
0 newtons
8 newtons
22 newtons
36 newtons
Answer:
8 Newtons
Step-by-step explanation:
Friction and Gravity are both known to be negative forces such as -20 and -14
So doing the math
22 + 20 = 42
42 - 20 = 22
22 - 14 = 8
8 is your answer, hope this helped!
Answer:
8 N to the right.
Step-by-step explanation:
Resolving vertical forces
upwards = 20 N, down = 20 N
- so the Net Force = 0.
Resolving horizontally :
Net force = 22 - 14 = 8 Newtons.
A camera has a listed price of $670.98 before tax. If the sales tax rate is 8.25%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
х
Answer:
$726.34
Step-by-step explanation:
Convert 8.25% to a decimal
8.25/100=0.0825
Multiply the cost by the decimal
670.98*0.0825=53.35585
Add the tax to the cost of the camera
53.35585+670.98=726.33585
Rounded to the nearest cent: 726.34
So, the total cost of the camera is $726.34
Hope this helps!
Answer:726.34
Step-by-step explanation: You have to multiply 670.98 x .0825 and the answer will be around 55. You take that answer and add it to 670.98. There you have to round to the nearest sent and the answer will be 726.335 rounded to 726.34
Please help with #48
Step-by-step explanation:
Among the three sides of length 9cm,11cm and 13cm;
9cm is the shortest and 13cm is the longest
the shortest of the corresponding i.e 9cm real - life distance= 125 km
Therefore, the longest of the corresponding i.e 13cm real - life distance= 125 ×13/9
= 180.55
= 180.6 km
what does have no change mean in math
Answer:
things are the same as they were
Step-by-step explanation:
"No change" in math means the same thing it does in English. Whatever it is you're looking at is the same now as it was before. It has not changed. The amount of change is zero.
Final answer:
In mathematics, 'no change' refers to a situation where a value or quantity remains constant over time or during certain operations. It can be used in various contexts, including functions, equations, and graphing to represent a static state.
Explanation:
In mathematics, the term 'no change' often refers to a situation where a value remains constant over time or through a particular process. For example, if a quantity does not increase or decrease, we can say that there has been no change in that quantity. Another way this might come up is in functions or equations, where certain operations have no effect on the input value, meaning the output remains the same as the input.
No change could also mean that a variable or a set of variables remains unaffected by certain transformations. In algebra, it might refer to a constant function where, regardless of the input, the output is always the same. No change might also be used in the context of graphing; if a graph stays flat without any increase or decrease, it represents no change in the value being graphed over the specified domain.
The triangle cookie cutter has a base of 10 centimeters and a height of 8 centimeters. What is the area of each triangle cookie
Answer:
well im not sure but i think u multiply 8 times 10 which is 80 which might be the area hope this helps
Denim shirts were marked down from $40.00 to $29.99. How much will be saved on 2 shirts?
Answer:
Step-by-step explanation:$40.00 is the original price of denim shirts if they are marked down to $29.99 you subtract $40.00 from $29.99 = $10.01 then you add the difference in price $10.01 x 2 to get the total savings the answer is $20.02
The sum of the two positive numbers is 120. What is the maximum value of the product of these two numbers?
Please so all work, Thank you!
If its a good answer I will rate it 5 stars, thank button, and brainlist your answer!
Answer:
If one number is x, the other is (96 - x)...since if you add those two together, you will get 96..and the product is x(96 - x) = 96x - x^2
Since this is a quadratic function (x to the power of 2), it is a parabola. More specifically, it is a parabola opening downwards, because there is a negative in front of the x squared. Because it downward facing the maximum value of x is going to be where the vertex is. The x value of the vertex can be found by taking the negative of b (which is the number in front of teh x) over a squared (which is the number in front of the x squared which in this case is 1)
So x = -96 / 2(-1) = -96/-2 = 48
Since as we first stated one number is x, the first number is 48
The second number will be 48, because we stated the second number to be 96-x
Therefore 48 times 48 will give you the maximum product 2304.
Hope This Helps!!!!!!!!!!!!!!
Answer:
3,600
Step-by-step explanation:
x + y = 120
y = 120 - x
Product "P"
P = x × y = x(120-x) = 120x - x²
P = -(x² - 20x)
= -(x² - 2(x)(60) + 60² - 60²)
= -(x - 60)² + 3600
Max value is 3,600
a relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1) which statement accurately describes this relation?
Answer: D
The relation represents _y_ as a function of x, because each value of _x_ is associated with a single value of _y_.
Step-by-step explanation:
The relation represents y as a function of x, because each value of x is associated with a single value of y.
We have given
A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1).
What is the function relation?
A function is a relation that describes that there should be only one output for each input.
Here x is the input value and y is the output value of the functions.
A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1)
for the given relation
The relation represents y as a function of x, because each value of x is associated with a single value of y.
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Given:
U=
[ 1 3 -57
2 14 11
L-8 05]
V=
[ 13 -1 -71
-6 1 19
[ 0 15 23
Solve:
X + U = V
X=
Answer:
answer is
[12 -4 -2]
[-8 -13 8]
[8 15 18]
Step-by-step explanation:
got it right on e2020
To solve the equation X + U = V, subtract the matrix U from both sides and simplify to find the solution for X. The solution is [12 - 4 - 14; -8 - 13 8; 8 15 18].
Explanation:To solve the equation X + U = V, we need to isolate X. Here is the step-by-step process:
First, subtract the matrix U from both sides of the equation: X = V - U.Next, subtract the corresponding elements of U from V. In this case, subtract the elements of U from the corresponding elements of V: X = [13 - 1 - 71; -6 1 19; 0 15 23] - [1 3 -57; 2 14 11; -8 0 5].Perform the subtraction and simplify: X = [12 - 4 - 14; -8 - 13 8; 8 15 18].The solution for X is the matrix [12 - 4 - 14; -8 - 13 8; 8 15 18].
What is the length and width of a rectangle given by the trinomial r squared - 6r- 55? Use factoring
Answer:
The length and width are
r-11 and r+5
Step-by-step explanation:
The given trinomial is
[tex] {r}^{2} - 6r - 55[/tex]
To factor, we need to split the middle term to get:
[tex]{r}^{2} - 11r + 5r - 55[/tex]
We now factor by grouping to obtain;
[tex]{r}(r- 11) + 5(r - 11)[/tex]
We collect common factors again to get:
[tex](r- 11)(r + 5)[/tex]
Therefore the length and width are
r-11 and r+5
Perform the indicated operation.
Answer:
your answer should be 7 1/24
If 7 oranges cost $7.56, what is the cost of 2 oranges
Answer:
$2.16
Step-by-step explanation:
7.56 ÷ 7 = 1.08
1.08 × 2 = 2.16
Answer:
$2.16
Step-by-step explanation:
7 oranges -----> costs $7.56
Find the unit rate (i.e the cost of 1 orange)
Unit rate ---> cost of 1 orange = $7.56/7 = $1.08
Cost of 2 oranges
= unit rate x 2 oranges
= $1.08 x 2
= $2.16
Translate this phrase into an algebraic expression. 13 more than twice Greg’s score. Use the variable g to represent Greg’s score
Answer:
2g + 13
Step-by-step explanation:
Times two plus 13.
Answer:
2g+13
Step-by-step explanation:
Since Greg's score id doubled, you would make it 2g.
More is an addition term, so 13 more signals to adding 13, therefore, your answer is
2g+13
What is the distance between the two points located at (14, 27) and (14, −8)?
The distance between the 2 given points is 35 units
Step-by-step explanation:
Step 1 :
Let A be the point (14, 27) and B be the point (14, −8).
Distance between any 2 points is obtained by the taking root of the sum of squares of the difference between the x co ordinates and the y co ordinates and is given by the formula
[tex]\sqrt({x_{2} - x_{1}) ^{2} + ({y_{2} - y_{1}) ^{2} }[/tex]
Where [tex](x_{1} , y_{1}) and (x_{2} , y_{2})[/tex] are the 2 points
Step 2 :
Using the above formula , we get the distance between the 2 given points as
[tex]\sqrt({14-14)^{2} + {((-8)-27)^{2} }[/tex] = [tex]\sqrt{(-35)^{2} }[/tex] = 35 units
Step 3 :
Answer:
The required distance of the 2 given points is 35 units
Are the expressions (5+5+5+5) + (x+x+x+x) and 4(5+x) equivalent? If so, write another expression that is equivalent to both of them. If not, explain why not.
Answer:
Yes, they are equivalent. Something that is not equivalent is 5(9+10x)
Both expressions simplify to 20 + 4x. Distributing 4 in 4(5+x) yields the same result, confirming their equivalence.
Sure, let's break it down step by step:
1. **Start with the first expression**: (5+5+5+5) + (x+x+x+x)
- First, simplify the terms inside each set of parentheses:
= (20) + (4x)
- Then, add the simplified terms together:
= 20 + 4x
2. **Proceed to the second expression**: 4(5+x)
- Apply the distributive property, which states that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding the results:
= 4 × 5 + 4 × x
- Multiply each term inside the parentheses by 4:
= 20 + 4x
3. **Compare the results**:
Both expressions simplify to 20 + 4x.
In both cases, we ended up with the same simplified expression, 20 + 4x. This confirms that the original expressions are equivalent.
To write another equivalent expression, we can distribute the 4 to both terms inside the parentheses in the expression 4(5+x), which results in 20 + 4x. Therefore, the expression 20 + 4x is equivalent to both (5+5+5+5) + (x+x+x+x) and 4(5+x).
Subtract.
Your answer should be a polynomial in standard form.
(
6
y
2
−
9
y
+
4
)
−
(
−
7
y
2
+
5
y
+
1
)
Answer:
Step-by-step explanation:
(−8* y^2−9*y)+(8*y^3+9*y^2−2*y)
first, remove extraneous parentheses (or distribute if negative)
=−8* y^2−9*y+8*y^3+9*y^2−2*y
then group terms in decreasing degree of y (variable)
=+8*y^3 −8* y^2+9*y^2 −9*y−2*y
simply expression by adding/subtracting similar terms
=+8*y^3 +y^2 −11*y
to give the final answer.
Thomas has purchased a $129,000 home with a 30-year mortgage at 5.25%.
He can make a monthly payment of $1050. If he were to make this payment
each month, how long will it take him to pay off his mortgage?
A. 217 months
B. 197 months
c. 177 months
D. 222 months
Answer: 177 months
Step-by-step explanation:
Answer: 177 months
Step-by-step explanation:
How do i solve this if i dont pass my math i lose my phone for a week got till tomorrow
A cylinder-shaped container is used to store water. The container has a height of 6 feet and a diameter of 3 feet. About how much water is in the container when it is 3/4 full?
A. 127 cubic feet
B. 42 cubic feet
C. 32 cubic feet
D. 14 cubic feet
Answer:
C. 32 cubic feet
Step-by-step explanation:
The volume of a cylinder can be written in terms of diameter as ...
V = (π/4)d^2·h
If water fills the 6-foot height to only 4.5 feet, then the volume of water is ...
V = (π/4)(3 ft)^2(4.5 ft) ≈ 31.81 ft^3
The volume of water in the container is about 32 cubic feet.
In the diagram above, if the circle with the center A has an area of 72 pi, what is the area of the circle with center B?
18pi
24pi
30pi
36pi
48pi
Without additional information about the relationship between the two circles, it is not possible to definitively determine the area of circle B based on the area of circle A. If the circles are identical, the area of circle B is also 72 pi.
Explanation:Given the area of the circle with the centre A is 72 pi, we find the radius using the formula for the area of a circle: A = πr². Therefore, the radius of circle A, rA, can be found by rearranging the formula to rA = √(A/π). This gives us a radius of √(72) = 8.48 units. Without further information about the relationship between circle A and circle B, we cannot definitively determine the area of circle B. If the two circles are identical, then the area of circle B would also be 72 pi. However, if the radius or diameter of circle B is different, you would have to use that measurement to calculate the area using the formula A = πr².
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Honeycrisp apples are on sale if you buy a crate, 15 pounds for $30. What is the unit price per pound
Answer:
$2
Step-by-step explanation:
$30 ÷ 15 pounds
30 ÷ 15 = 2
Answer: $2 per pound
The unit price of apple per pound is $2.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.
Given, Honeycrisp apples are on sale if you buy a crate, 15 pounds for $30.
To find the unit price,
we divide the total cost to total pound of a crate.
unit price of an apple
= $30 / 15
= $2
Therefore, the unit price of an apple per pound is $2.
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May someone please help me?
Answer:
532m^2
Step-by-step explanation:
Please see the attached pictures for full solution.
Find the area of the shaded region. Express your answer in terms of pi
Area of the shaded region is 540 – 65.25π.
Solution:
Length of the rectangle = 12 + 9 + 6 + 3 = 30 in
Width of the rectangle = 18 in
Radius of the larger circle ([tex]r_1[/tex]) = 12 ÷ 2 = 6 in
Radius of the medium circle ([tex]r_2[/tex]) = 9 ÷ 2 = 4.5 in
Radius of the smaller circle ([tex]r_3[/tex]) = 6 ÷ 2 = 3 in
Area of the shaded region = Area of the rectangle – Area of the larger circle – Area of the medium circle – Area of the smaller circle
[tex]=l\times b-\pi r_1^2-\pi r_2^2-\pi r_3^2[/tex]
[tex]=30\times 18-\pi \times 6^2-\pi \times (4.5)^2-\pi \times 3^2[/tex]
[tex]=540-36\pi-20.25\pi-9\pi[/tex]
[tex]=540-65.25\pi[/tex]
Area of the shaded region is 540 – 65.25π.
The area of shaded region is, [tex][540-\pi(65.25)] inch^{2}[/tex]
From given figure, it is observed that unshaded region is sum of area of three circles.
Diameter of first circle = 12 inch , radius = 12/2 = 6 inch
Diameter of second circle = 9 inch , radius = 9/2 = 4.5 inch
Diameter of third circle = 6 inch , radius = 6/2 = 3 inch
Area of circle = [tex]\pi r^{2}[/tex] , where r is radius of circle.
Dimension of rectangle is,
length = 12 + 9 + 6 +3 = 30 inch
width = 18 inch
Shaded area = Area of rectangle - sum of area of three circles.
[tex]=(18*30)-\pi(6^{2} +4.5^{2} +3^{2} )[/tex]
[tex]=540-\pi(36+20.25+9)\\\\=540-\pi(65.25)[/tex]
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Lena draws a square with an area that is greater than the area of rectangle b what are two possible side lengths of lenas square? Explain
Suppose the square Lena draws has the following dimensions:
[tex]Side=L \\ \\ A_{s}:Area \\ \\ \\ A_{s}=L^2[/tex]
For the rectangle we have:
[tex]Base=L_{1} \\ \\ Height=L_{2} \\ \\ \\ A_{r}=L_{1}L_{2}[/tex]
Possibility 1. In order for the area of the square to be greater than the area of the rectangle, the following inequality must be true:
[tex]\boxed{\frac{L^2}{L_{1}L_{2}}>1}[/tex]
Possibility 2. If one side of the rectangle equals the side of the square, that is:
[tex]L_{1}=L[/tex]
Then, in order for the area of the square to be greater than the area of the rectangle, the following inequality must be true:
[tex]\frac{L^2}{LL_{2}}>1 \\ \\ \boxed{\frac{L}{L2}>1}[/tex]
The side lengths for Lena's square, with an area greater than rectangle B, must exceed the side lengths of rectangle B if square, or the square root of its area if not. Thus, any side length [tex]\( s \)[/tex] for Lena's square must satisfy [tex]\( s > \sqrt{A_B} \)[/tex], where [tex]\sqrt{A_B}[/tex] is area of rectangle.
Given that the area of the square is greater than the area of rectangle B, we can write the inequality:
[tex]\[ s^2 > l \times w \][/tex]
To find two possible side lengths for the square, we need to find values of [tex]\( s \)[/tex] that satisfy this inequality.
Since we do not have specific values for [tex]\( l \)[/tex] and [tex]\( w \)[/tex], we can consider a few scenarios:
1. If rectangle B is a square itself, then [tex]\( l = w \)[/tex], and the area of rectangle B would be [tex]\( l^2 \)[/tex]. For the square drawn by Lena to have a greater area, the side length [tex]\( s \)[/tex] must be greater than [tex]\( l \)[/tex]. So, any value of [tex]\( s \)[/tex] greater than [tex]\( l \)[/tex] would be a possible side length for Lena's square.
2. If rectangle B is not a square, then [tex]\( l \neq w \)[/tex]. Without loss of generality, let's assume [tex]\( l > w \)[/tex]. To ensure that [tex]\( s^2 > l \times w \)[/tex], [tex]\( s \)[/tex] must be greater than the square root of [tex]\( l \times w \)[/tex].
what is the slope of the line that contains points (-3, 1) and (4, -2)?
The slope of the line is [tex]m=-\frac{3}{7}[/tex]
Explanation:
The points are [tex](-3,1)[/tex] and [tex](4,-2)[/tex]
We need to find the slope of the line that contains the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex]
The slope of the equation can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex] in the slope formula, we have,
[tex]m=\frac{-2-1}{4-(-3)}[/tex]
Simplifying the expression, we have,
[tex]m=\frac{-2-1}{4+3}[/tex]
Adding the terms in both numerator and denominator, we have,
[tex]m=\frac{-3}{7}[/tex]
The slope of the line that contains the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex] is [tex]m=-\frac{3}{7}[/tex]
Thus, the slope of the line is [tex]m=-\frac{3}{7}[/tex]