You are planning to volunteer at a zoo that is 60 miles from your home. you can either take stephanie's car, which gets 20 miles to the gallon
I NEED HELP NOW!!!!
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
This system of equations models the given information for both stamp types.
x – y = 34
x + y = 212
Solve the system of equations.
How many foreign stamps does Malik have?
____foreign stamps
How many domestic stamps does Malik have?
____domestic stamps
After solving the system of linear equations, Malik has 123 domestic stamps and 89 foreign stamps.
Let x represent the number of domestic stamps.Let y represent the number of foreign stamps.Given the following system of equations:
[tex]x - y = 34\\\\x + y = 212[/tex]
To solve the system of linear equations, we would use the elimination method:
Adding the two equations together, we have:
[tex]2x = 246[/tex]
Dividing both sides by 2, we have:
[tex]x = \frac{246}{2}[/tex]
x = 123 domestic stamps
To find the value of y:
[tex]x + y = 212\\\\y = 212 - x\\\\y = 212 - 123[/tex]
y = 89 foreign stamps
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5 hundred 25 thousand six hundred minutes
It takes 36 minutes for 7 people to paint 4 walls. How many minutes does it take 9 people to paint 7 walls?
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. The tables below show the values of y corresponding to different values of x:
Table A
x 3 2 1
y 1 0 0
Table B
x 3 5 4
y −2 1 1
Which statement is true for the tables?
Both Table A and Table B represent functions.
Both Table A and Table B do not represent functions.
Table A does not represent a function, but Table B represents a function.
Table A represents a function, but Table B does not represent a function.
2. Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4?
The graph shifts 4 units up.
The graph shifts 4 units down.
The graph shifts 4 units left.
The graph shifts 4 units right.
Both Table A and Table B in the question represent functions, as each x value corresponds to exactly one y value in both tables. The operation of replacing the graph of f(x) with f(x) + 4 results in a vertical shift of the graph 4 units upward.
The subject of the question involves interpreting the data sets presented in Table A and Table B and understanding the behavior of functions. According to the definition, a function is a mathematical relationship wherein each input (x) corresponds to exactly one output (y).
Now, let's determine which tables represent functions. Table A: each 'x' corresponds to exactly one 'y', so this represents a function.
For Table B, each 'x' also corresponds to exactly one 'y', so this also represents a function.
This means both Table A and Table B represent functions.
As for the second question, the operation of replacing the graph of f(x) with f(x) + 4 will result in the graph shifting 4 units upward. The vertical shift is a result of adding 4 to the entire function f(x).
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Please help!!
Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3.
Final answer:
The standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3 is x² = -12y.
Explanation:
To find the standard form of the equation of a parabola with a given focus and directrix, we use the definition of a parabola: the locus of points equidistant from the focus and the directrix. Since the focus is at (0, -3) and the directrix is y = 3, the vertex is halfway between the focus and directrix, at (0, 0). The distance from the vertex to the focus (and to the directrix) is 3 units. The standard form of the parabola opening downwards is
(x - h)² = -4p(y - k)
where (h, k) is the vertex and p is the distance from the vertex to the focus, when the parabola opens upwards or downwards.
Substituting the values for the vertex and p, we get
(x - 0)² = -4(3)(y - 0)
which simplifies to
x² = -12y
This is the standard form of the parabola with the given focus and directrix.
Jenna has $50 to spend at a local crafts fair. The entrance price for the fair is $10. At a pottery stand, Jenna finds some cups that she likes that are $4.50 each. what is the maximum number of cups she can buy?
an online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?
Solve the inequality (show your work):
-5/2(3x + 4) < 6 - 3x
-5/2 (3x+4)<6-3x distribute
-15/2 x-10<6-3x move -15/2 to the other side by adding it to 3x
-10<6+9/2 x move 6 over by subtracting it from -10
-16<9/2 x divide 9/2 by 16 (or multiply 2/9)
-32/9<x
What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?
Drag the steps and drop them in order from start to finish.
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Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .
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Construct a circle with its center at point H.
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Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ .
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Construct horizontal line l and point H on line l.
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Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.
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Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.
50 points!! help with justification of these steps please
Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). She solves for x in 5 steps:
6x+2 = 6 - 3x
2 = 6 - 9x
-4 = -9x
4/9 = x
x = 4/9
What is the justification for each of the steps that Caitlyn took? Give the Algebraic Property for each step.
Answer:
combining like terms
Step-by-step explanation:
If y=1/2 when x=2, find y when x=3, given that y varies directly with x
Solve the system by elimination.
-2x + 2y + 3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5
Please go step by step, thanks!
Barry walked a total of 3 miles to larry's house. if he walked for 45 minutes to get there, how fast was he traveling (r) in miles per hour?
How to find out how likely it is to get 13% chance at something 13 times?
Jamie's parents have told him that he needs to pay his credit card bills on time to establish good credit. How will good credit help him in the future?
Simply C Because well Nowadays You Have To Have Credit For Everything And Its Crazy When Your A Teenager Living On Your Own Without Any Credit. I Had To Buy Things For Around The House And Eventually Bought A $5,000 Bed Set
translate the following points 5 units up (-5,-2) (-2,1) (-4,-7)
How would I graph and solve this inequality?? Help please! Press question to view image.
answer is center of rotation
If you purchase 100 items that cost $.25 each, how much would the items cost all together?
Two times antonio's age plus three times sarah's age equals 34. Sarah's age is also 5 times antonio's age. how old is sarah
Please help with all 3 questions thank you.
There are thirteen animals in a barn. Some are chickens and some are pigs there are 40 legs in all. How many of each animal are there
Larry Lazy purchased a one year membership at a local fitness center at the beginning of the year. It cost him $150. He goes twice a week for the first three months (13 weeks) of the year, but then goes only once a month for the rest of the year.
How much does each visit to the center cost?
If he continued going twice a week all year, how much would each visit cost?
Answer:
A. $4.29
B. $1.44
Step-by-step explanation:
A. We have been given that Larry goes to gym twice a week for 13 weeks. Let us multiply 13 by 2 to find the number of times Larry visited the gym for first 3 months.
[tex]\text{The number of Larry's visits to gym for the first 3 months}=13\times 2=26[/tex]
Since there are 12 months in a year, then Larry has gone to gym only 9 times for rest of month as 12-3=9.
Now let us add 26 and 9 to get the total number of Larry's visits to gym.
[tex]\text{Larry's total visits to gym}=26+9[/tex]
[tex]\text{Larry's total visits to gym}=35[/tex]
Now let us divide total cost (150) by total number of visits (35) to get the each visit's cost.
[tex]\text{Each visit's cost}=\frac{150}{35}[/tex]
[tex]\text{Each visit's cost}=4.2857142857142857\approx 4.29[/tex]
Therefore, each visit to the center costs $4.29 to Larry.
B. If Larry continued going twice a week all year, then total number of Larry's visits to center will be 52 times 2.
[tex]\text{Larry's total visits to center}=52\times 2[/tex]
[tex]\text{Larry's total visits to center}=104[/tex]
Now let us divide total cost (150) by total visits (104) to find the cost of each visit.
[tex]\text{Each visit's cost}=\frac{150}{104}[/tex]
[tex]\text{Each visit's cost}=1.4423076923076923\approx 1.44[/tex]
Therefore, If Larry continued going twice a week all year, it would cost him $1.44 for each visit.
In March, Rodney sold twice as many cars as Greg. In April Rodney sold 5 fewer cars than he did in March while Greg sold 3 more cars than he did in March. If they same number of cars in April how many cars did each sell in March
Final answer:
Rodney sold 16 cars and Greg sold 8 cars in March.
Explanation:
Let's start by representing the number of cars sold by Rodney and Greg in March as variables. Let R represent the number of cars sold by Rodney and G represent the number of cars sold by Greg.
Given that Rodney sold twice as many cars as Greg in March, we have the equation R = 2G.
In April, Rodney sold 5 fewer cars than he did in March, so we have the equation R - 5.
Greg sold 3 more cars than he did in March, so we have the equation G + 3.
Lastly, we know that they sold the same number of cars in April, so we can set R - 5 = G + 3.
Now, we can solve the system of equations to find the values of R and G. Substituting R = 2G into the last equation, we get 2G - 5 = G + 3. Solving for G, we find G = 8. Substituting this value back into the equation R = 2G, we get R = 16.
Therefore, Rodney sold 16 cars and Greg sold 8 cars in March.
Rodney: 16 cars
Greg: 8 cars
Question 7 the length of a shadow of a building is 29 m . the distance from the top of the building to the tip of the shadow is 38 m . find the height of the building. if necessary, round your answer to the nearest tenth.
How to solve x^2+bx+c=0 when b and c are negative by factoring?
The school bookstore sold 8 more pencils than pens one day. A pencil costs $0.05 and a pen costs $0.20. If the day's sales of pens and pencils totaled $8.90, how many pencils were sold?
To solve this problem, we use algebraic equations to represent the situation. By setting up an equation for the total sales and solving for the number of pens, we can then calculate the number of pencils sold based on the given information. In this case, 34 pens and 42 pencils were sold.
Explanation:Let's solve this problem using algebra. Let the number of pens sold be x. According to the problem, the number of pencils sold is x + 8. Now we can set up an equation to represent the total sales:
0.20x + 0.05(x + 8) = 8.90
Simplifying the equation, we get:
0.20x + 0.05x + 0.40 = 8.90
Combining like terms,
0.25x + 0.40 = 8.90
Next, we can subtract 0.40 from both sides of the equation to isolate x:
0.25x = 8.90 - 0.40
Subtracting, we find that
0.25x = 8.50
Finally, we can divide both sides of the equation by 0.25 to solve for x:
x = 8.50 / 0.25
Calculating, we find that x = 34. This means that 34 pens were sold. Since 34 pens were sold and there were 8 more pencils sold than pens, there must have been 34 + 8 = 42 pencils sold.
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If you buy an IPod for $339, how much sales tax would you pay if the tax rate is 8.375%?
Penny translate a trapezoid so that one of the vertices is at the origin. if the pre-image has a perimeter of 44 units what is the perimeter of the image
Translations are part of rigid motions which also include reflection and rotation. For these three, we can then assume that neither the perimeter nor the area of an object would change. This means that, once an object is translated it is not biased or distorted (either enlarged or diminished). Thus, making the perimeter of the original and the image are equal. So for this problem, the perimeter of the image would be the same as the pre-image, and that would be 44 units.
In the context of geometric transformations, the shape and size do not change, only position. Therefore, if the trapezoid's pre-image has a perimeter of 44 units, the image, as a result of translation, will have the same perimeter of 44 units.
Explanation:In the context of geometric transformations like translations, rotations, or reflections, the shape and size of the object do not change--only its position does. The pre-image and the image are congruent, so their perimeters are the same.
In the situation described in your question, Penny's trapezoid is translated so that one of its vertices is at the origin. Because a translation is a type of isometry (a transformation that preserves distance), the shape of the trapezoid and the lengths of its sides will not change in the translation process. As a result, if the perimeter of the pre-image is 44 units, then the perimeter of the image will also be 44 units, regardless of where the vertices are located.
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