The width of the rectangular frame is 3 1/8 inches.
What is the width?It should be noted that the area of a rectangular picture frame is 4 3/8 square inches and the length of the frame is 1 2/5 inches.
The area of a rectangle is:
= Length * Width
Therefore, the width will be:
= Area / Length
= 4 3/8 ÷ 1 2/5.
= 4.375 / 1.4
= 3.125 or 3 1/8.
The width is 3 1/8 feet.
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help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
3 + √97/2 , -3 ±√97/2 are the dimensions of rectangle .
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.let width = x
length = x + 3
area = 22
area of rectangle = l * w
22 = x * ( x + 3 )
22 = x² + 3x
x² + 3x - 22 = 0
x = -3 ± √3² - 4 .1 (-22)/2.1
x = -3 ± √9 + 88/2
x = -3 ±√97/2
width = -3 ±√97/2
length = x + 3 = -3 +√97/2 + 3 = 3 + √97/2
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Amber had of a book of postage stamps. She used of the book of postagestamps.Which fraction of the book of postage stamps does Amber have now?一01-161616
We were told that Amber had 5/6 of a book of postage stamps. If she used 2/6 of the book of postage stamp, then the fraction of the book of postage stamp that she has left is
5/6 - 2/6
= 3/6
She has 3/6 now
What is the linear function represented by the graph?
f(x) = 1/2x + 1
f(x) = -1/2x+ 1
f(x) = 1/2x+1/1/2
f(x) = -1/2x + 1/2
The linear function (B) [f(x) = -1/2x+ 1] represents the given graph with coordinates (0, 1) and (2, 0).
What are linear functions?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.So, the linear function that represents the graph:
We need to plot all the functions on the graph to get the correct linear function.After plotting, we came to the conclusion that function [f(x) = -1/2x+ 1] represents the same graph as shown in the figure.Therefore, the linear function (B) [f(x) = -1/2x+ 1] represents the given graph with coordinates (0, 1) and (2, 0).
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Complete question:
What is the linear function represented by the graph?
A. f(x) = 1/2x + 1
B. f(x) = -1/2x+ 1
C. f(x) = 1/2x+1/1/2
D. f(x) = -1/2x + 1/2
Erick sold 2 pounds of walnuts and 4 pounds of almonds for $28. The next day, he sold4 pounds of walnuts and 3 pounds of almonds for $31. Which system of equations canbe used to determine the cost per pound of walnuts x, and the cost per pound ofalmonds, y?F 2x - 4y = 284x + 3y = 31G 2x + 4y = 284x + 3y = 31H 2x + 4y = 314x + 3y = 28) 4x + 3y = 282x + 4y = 31
Let the selling price for walnuts be x and the selling price for the almonds be y.
On the first day, Erick sold 2 pounds of walnuts and 4 pounds of almonds for $28. This implies that
[tex]\begin{gathered} 2x\text{ + 4y =28 } \\ \text{equation 1} \\ \end{gathered}[/tex]On the second day, 4 pounds of walnuts and 3 pounds of almonds for $31.
[tex]undefined[/tex]use the distributive property to solve 4 × ( 10 + 7)
Given the expression:
[tex]4\ast(10+7)[/tex]Let's solve the expression using distributive property.
To use distributive property, distribute the term ouside the parentheses to the terms in the parentheses.
Apply distributive property:
[tex]a\ast(b+c)=ab+ac[/tex]Distribute 4 to the values inside the parentheses:
[tex]\begin{gathered} 4\ast(10+7) \\ \\ =4(10)+4(7) \\ \\ =40+28 \\ \\ =68 \end{gathered}[/tex]ANSWER:
68
At a fundraiser hosted by a local restaurant, customers can pay as much or as little as they like for a meal, as long as they pay at least $1. any profits are donated to a local charity. one evening, the mean (average) price paid per customer was $55. one more customer walked in and paid $70 for a meal, bringing the average up to $56. what is the highest possible price that a customer could have paid for their meal that evening? do you think the amounts in your solution are reasonable.
in your solution are reasonable for this situation?
The highest possible price that a customer could have paid for their meal that evening exists $ 757. Since this is a fundraiser, $ 1 exists probably a very small amount and $757 would be considered a very generous donation for a meal.
How to estimate the highest possible price that a customer could have paid for their meal that evening?When determining the mean (average) of a group of values, we add up the values in the group and divide that total by the number of values in the group. As a result, the average of the set's values divided by the total number of values is equal to the set's values' sum.
Let n represent how many people were in the store that evening. Thus, a total of 56n was paid that evening by all customers. The bill for the last customer's meal was $70.00. There were (n-1) customers who had already paid a total of (56n-70) dollars before this one arrived. The average cost per customer at that time was $55 dollars.
From the above information, we get
[tex]$\frac{56 n-70}{n-1} &=55 \\[/tex]
simplifying the above equation, we get
56n - 70 = 55(n - 1)
56n - 70 = 55n - 55
n = 15
Since n = 15, it follows that there were 15 customers that evening, and the total amount paid by all customers stood therefore 56 n = 56(15) = 840 dollars.
To estimate the highest possible price that a customer could have paid for their meal that evening, we will assume that 13 of the customers paid the lowest possible price of $ 1. Then the remaining customer would have paid 840 - 13 × 1 - 70 = 757 dollars.
Therefore, the highest possible price that a customer could have paid for their meal that evening exists $ 757.
Since this is a fundraiser, $ 1 exists probably a very small amount and $757 would be considered a very generous donation for a meal.
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pls help me out I really need to sleep
⇒ Note we can answer the question without having to calculate anything if we know what is meant by a y-intercept and x-intercept.
y-intercept is a point in the y-axis where the x coordinate is 0 given by (0,y)
x-intercept is a point is the x-axis where y is equal to 0.(x,0)
If we are to check in the diagram⇒ for y-intercept the point in the
(0,-6)
For x-intercept, the point on the x- axis where y is 0 is (-8,0)
write a system of equations that could be used to determine the number of tacos sold in the number of burritos sold. Define the variables that can you can use to write the system
Let x = number of burritos sold
Let y = number of tacos sold.
System of equations.
x = 2y (Twice as many burritos sold as there were tacos sold) (Equation 1)
7.5*x + 3.75*y = 750 (Total balance) (Equation 2)
s=l-r l solve for r ty for your answer
The modulus of |-r| means that it is an absolute value. Therefore, the answer is "s".
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
It measures the distance of a point x to the origin, thus, |-2| = |2| = 0, and has vertex(turning point) at (0,0). Then the range is from the y-coordinate of the vertex to positive infinity.
WE have given as s=l-r l
When we add a positive or negative number in between the lines then; it is;
|-r| goes through = -r = -s
|-r| goes through = r = s
The modulus of |-r| means that it is an absolute value. Therefore, the answer is "s".
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Jane drew a scale drawing of a game room. The pool table is 3 inches long in the drawing. The actual pool table is 9 feet long. What is the scale factor of the drawing?
Simplify your answer and write it as a ratio, using a colon.
The scale factor of the drawing will be 1/3 inch per foot.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Jane drew a scale drawing of a game room. The pool table is 3 inches long in the drawing. The genuine pool table is 9 feet in length.
The scale factor of the drawing is calculated as,
Scale factor = 3 / 9
Scale factor = 1/3 inch per foot
The scale factor of the drawing will be 1/3 inch per foot.
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A polynomial function has local maxima at (0, -1) and (3,-2). The complex number (1+2i) is a
zero of the function. What is the least possible degree of the function?
Answer:
6
Step-by-step explanation:
i once saw it on a function quiz and i believe that was correct
What is the midpoint of the segment shown below?1010-10(-8,-7)(-7,-8) -10- A. (-15, -15)B. (-15, -15) C. (-15, -15)D. (-15, -15)
Given
The line segment with end points (-8, -7), (-7, -8).
To find:
The midpoint of the given segment.
Explanation:
It is given that,
The line segment with end points (-8, -7), (-7, -8).
That implies,
[tex]\begin{gathered} Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ =(\frac{-8+(-7)}{2},\frac{-7+(-8)}{2}) \\ =(\frac{-8-7}{2},\frac{-7-8}{2}) \\ =(-\frac{15}{2},-\frac{15}{2}) \end{gathered}[/tex]Hence, the midpoint of the line segment is (-15/2, -15/2).
x^{2}-8x+15 in vertex from
The vertex form of the expression is y = (x-4)²-1
What is vertex form?
In this little tutorial, we'll look at how to change a standard form into a vertex form and vice versa. A parabola's equation can be shown in various ways, including standard form, vertex form, and intercept form. Any of these forms can be changed into either of the other two depending on the situation. We will discover how to convert in this article.
The vertex form is y = (x-h)² + k
The only term with x with 2hx from the vertex form and 8x in order to form a standard form.
The given expression is x²-8x+15,
So 2hx = -8x
h = 4
Substituting in the original expression we will have
y = (x-4)²-1
Hence this is in vertex form.
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An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length 2/3 in. and width 1/2. The actual tiles have length 1/2 ft and width 3/8 ft. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio. The ratio of the length of a tile in the model to the length of an actual tile is?
Ratio of the length of a tile in model to length of actual tile is 1/9 and Ratio of Area of tile to area of actual tile is 1/ 81
Given,
Length of each tiles = 2/3 in
Width of each tiles = 1/2 in
The actual tiles have length = 1/2 ft = 6 in {1 foot = 12 inch }
Width of actual tiles = 3/8 ft = 4.5 in
Ratio of length of tile in the model to the length of an actual tile =
length of tile / length of an actual tile
= [tex]\frac{2/3}{6} = \frac{1}{9}[/tex]
Area of tiles = area of rectangle = length × width
= 2/3 × 1/2
= 1/3 in²
Area of actual tile = 6 × 4.5 = 27 in²
Ratio of the area of a tile in the model to the area of an actual tile =
Area of tile / area of actual tiles
= [tex]\frac{1/3}{27} = \frac{1}{81}[/tex]
Another way of finding ratio is by Dilation ,
Ratio of lengths = 1 / 9
according to the property of dilation,
Ratio of area of tiles to area of actual tiles = (1/9)² = 1/81
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D - Add, Subtract, Multiply, and Divide Integer A submarine Is at a depth of 350 feet below sea level. It makes the following moves. • First, it goes down 150 feet. • Next, it goes up 132 feet. • Then, it goes down 179 feet. • Finally, it goes down 145 feet. Which statement describes its current depth? A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692. B It is 8 feet below sea level, because 350 + (-150) + 132 + (-179) + (-145) = 8. c It is 256 feet below sea level, because 350 + (-150) +..(-132) + (-179) + (-145) = -256. D It is 342 feet below sea level, because 150 132 179 145 = 342. AI B ci D
We have the next information
A submarine Is at a depth of 350 feet below sea level means -350
First, it goes down 150 feet. means -150
Next, it goes up 132 feet. means +132
Then, it goes down 179 feet. means -179
Finally, it goes down 145 feet means -145
then we have the next operations
-350+(-150)+132+(-179)+(-145)=-692
The sing minus means that It is below the sea level
therefore the correct choice is
A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692.
The next number in the arithmetic sequence 10, 23, 36, ___ is:
Answer:
49
Step-by-step explanation:
10 to 23 is 13, and 23 to 36 is 13. so you just add 13 to 36 to get 49
An arithmetic sequence has the following
properties:
i) Its 6th term is 15.
ii) Its 9th term is three times the 2nd term.
Find the 100th term of this sequence.
The 100th term of the arithmetic sequence is 203.
Let the first term of the arithmetic sequence be a and the common difference be d.
The general term of the sequence is given by
[tex]T_{n} = a + (n-1)d[/tex]
It is given that the 6th term is 15, we have :
[tex]T_{6} = a +5d[/tex]
a + 5d = 15......equation(1)
It is given that the 9th term is three times the 2nd term, we have :
[tex]T_{9} = 3*T_{2} \\a + 8d = 3(a +d)\\a + 8d = 3a +3d\\a -3a = 3d -8d = -5d\\-2a = -5d\\2a = 5d\\a = \frac{5d}{2}[/tex]
Putting this value in equation(1)
[tex]\frac{5d}{2} + 5d = 15 \\\\5d + 10d = 30\\15d= 30\\d = \frac{30}{15} = 2[/tex]
a = 5*2/2 = 5
Hence, the first term is 5 and the common difference is 2.
Now, evaluating the 100th term of the sequence, we have :
[tex]T_{n} = a +(n-1)d\\T_{100} = a +99d\\T_{100} = 5 +99*2 = 5 +198 = 203[/tex]
Hence, the 100th term of the arithmetic sequence is 203.
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Which of the following equations is equivalent to 2/3x- 1/2Y=6
O4x - 3y = 36
2x - y = 36
O 2x - y = 6
Answer:
4x - 3y = 36
Step-by-step explanation:
⅔x-½y=6
just multiply both sides by the LCM which is 6
6×⅔x-6×½y=6×6
4x-3y=36
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
What is the image of (0,−4)(0,−4) after a dilation by a scale factor of 22 centered at the origin?
Answer:
(0,-88) (0,-88)
Step-by-step explanation:
For dilations just multiply the pre-images coordinates by the scale factor to get the image's coordinates.
Alicia has at most $196 to buy a new baseball gloves and a new baseball hat. What inequality can represent this?
Alicia has at most $196 this means that her amount of money is less or equal than $196, we can express this as an inequality, like this:
[tex]\text{y}\leq\text{ \$}196-x[/tex]Where x represents the cost associated with the hat and the gloves and y is the money that left after the purchase of these articles
To the nearest tenth, what is the best estimate of the value of 4/12 ?
Answer: 0.3 or 3/10
4/12 is equal to 1/3.
1/3 is closest to 0.3 when you round to the nearest tenth.
Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold $7,500 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011? Last week, he made $ in commission.
EXPLANATION
Let's see the facts:
%Earns= 13% commission/week
Last week sold = $7,500
In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:
$Earns = 0.13 (decimal form)*$7,500
Earns = $975
Last week, he made $975 in commission.
If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year
Hi I need a fit of help with this question!
Explanation
The unit rate os obtained as shown as follows:
[tex]\text{Unit rate = }\frac{change\text{ in dollars}}{\text{change in hours}}[/tex][tex]\text{Unit rate= }\frac{17\text{dollars}}{\text{hour}}=\text{ 17\$/h}[/tex]Answer is A. The unit rate is equal to $17.
79 plus 34???????????????
EXPLANATION
The sum of 79 and 34 is
[tex]79+34=113[/tex]Answer: 113
Choose the number line that could show this value square root of 101.
Given:
[tex]\sqrt[]{101}[/tex]Let's select the number line that could show this value.
To select the number line, let's first simplify the expression.
We have:
[tex]\sqrt[]{101}=10.05\approx10[/tex]The number line that will represent this value must have a dot on the point 10.
This is because the value √101 is approximately 10.
Therefore, the number line that could show this value is the number line with a point on 10.
The correct number line is:
ANSWER:
which of the following value are solutions to the inequality -5>6x+9
Given:
The inequality is,
[tex]-5>6x+9[/tex]Required:
To choose the correct value for the given inequality.
Explanation:
Consider the given inequality,
[tex]-5>6x+9[/tex]Consider the first option, 6
Put x=6 in to the given inequality, we get
[tex]\begin{gathered} -5>6\times6+9 \\ -5>36+9 \\ -5>45 \end{gathered}[/tex]Clearly the statement is false.
Now consider the next option, 4
Put x=4 in to the given inequality, we get
[tex]\begin{gathered} -5>6\times4+9 \\ -5>24+9 \\ -5>33 \end{gathered}[/tex]Clearly the statement is false.
Now consider the next option, 0
Put x=0 in to the given inequality, we get
[tex]\begin{gathered} -5>6\times0+9 \\ -5>9 \end{gathered}[/tex]Clearly the statement is false.
Final Answer:
There is no values in the given options .
Pattern A follows the rule "add 2" and Pattern B follows the rute subtract 2 Pattern A: 1.3.5.7.9 Pattern B: 10.8.6.4.2 Which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? answers are in the photo PLEASE BE RIGHT THIS IS WORTH HALF MY GRADE!!!!
From the given option (1,10), (5,6) and (7,4) are ordered pairs that formed from combining a term in Pattern A with its corresponding term in Pattern B.
In the given question,
Pattern A follows the rule "add 2" and Pattern B follows the rule subtract 2
Pattern A: 1, 3, 5, 7, 9
Pattern B: 10, 8, 6, 4, 2
We have to find which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B.
From the given question,
Pattern A: 1, 3, 5, 7, 9
Pattern B: 10, 8, 6, 4, 2
As given in the pattern A all numbers are 2 number up from the previous one and in pattern B each number is 2 number down from the previous one.
We have to combine a term in Pattern A with its corresponding term in Pattern B.
We have to combine with corresponding terms that means we combine one term from pattern A and one from pattern B.
Now the term after combining are
1, 10, 3, 8, 5, 6, 7, 4, 9, 2
So the combination of terms that can be formed are
(1, 10), (10,3), (3, 8), (8,5), (5, 6), (6,7), (7, 4), (4,9), (9,2)
Hence, from the given option (1,10), (5,6) and (7,4) are ordered pairs that formed from combining a term in Pattern A with its corresponding term in Pattern B.
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If John Carlo has 4 times as many nickels as quarters and they have a combined value of 270 cents, how many of each coin does he have?
There 6 quarters and 24 nickels of each coins that John Carlo has.
How to calculate for the number of each coins.There are 5 cents in a nickel and 25 cents in a quarter. Let us represent the number of quarters as x so that the number of nickels that John Carlo has will be 4x.
Thus, 4x(5 cents) + x(25 cents) = 270 cents
20x cents + 25x cents = 270 cents
45x cents = 270 cents
divide through by 45
x = 270/45
x = 6
and thus there are 4(6) = 24 nickels.
Therefore, John Carlo has 6 quarters and 24 nickels each of coins.
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A solution to a system of linear equations in two variables is an ordered pair that.
A solution to a system of linear equations in two variables is an ordered pair that makes BOTH equations true.
When is the system of equations is said to be consistent?
If there is at least one combination of values for the unknowns that satisfies each equation in the system—that is, makes each equation hold true as an identity—then a system of equations, whether linear or nonlinear, is said to be consistent.
When is the system of equations is said to be non-consistent?
If there isn't a set of values for the unknowns that solves every equation, then the system of equations is said to be inconsistent.
Ex: Consider a system of linear equations:
x+3y=6
x=-3y+6 …..(1)
2x+8y= -12 …..(2)
Substitute equation (1) in (2)
2(-3y+6)+8y=-12
-6y+12+8y=-12
2y=-24
y=-12 ….(3)
Substitute equation (3) in (1)
x+3(-12)=6
x-36=6
x=42
Here, the order pair (x,y)=(42,-12) is the solution of the given linear equations and satisfy equations (1) and (2)
> 42+3(-12) = 42-36 .....From (1)
= 6 = RHS
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