You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding the go-carts for $8 per ride (r), and using the batting cages, for $6 per set of baseballs (s). What is the equation for the total number of rides on the go-carts and sets of baseballs you can get at the batting cages for your total amount of money you brought? If you ride the go-carts 14 times, how many sets of baseballs can you get at the batting cages according to the equation?
Answer:
[tex]8r + 6s = 100[/tex] --- (a)
[tex]s = -2[/tex] ---- (b)
Step-by-step explanation:
Given
Per ride (r) = $8
Per baseballs (s) = $6
Total = $100
Required
Represent using an equation
If 1 ride is $8.
r rides would be 8r
If 1 baseball is $6
s baseballs would be 6r.
So, total is:
[tex]8r + 6s = 100[/tex]
Solving (b):
Value of s when r = 14
[tex]8r + 6s = 100[/tex]
Substitute 14 for r
[tex]8 * 14 + 6s = 100[/tex]
[tex]112+ 6s = 100[/tex]
Solve for 6s
[tex]6s = 100 - 112[/tex]
[tex]6s = -12[/tex]
Solve for s
[tex]s = -12/6[/tex]
[tex]s = -2[/tex]
amy runs 2 miles south, the turns around and runs 3 miles north. what is her displacement? a. 5 miles , b. 2 miles, c. 1 mile, d. 3 miles . i need hep now .
Option C, 1 mile is the correct answer
The displacement is 1 mile.
Given that, Amy runs 2 miles south, then turns around and runs 3 miles north.
What is displacement?Displacement is the change in the position of any point or object. It has a direction and magnitude, so it is a vector quantity. It is shown with an arrow that points from the starting position to the final position.
Now, Amy runs 2 miles south from the fixed point he runs in the north direction for 3 miles.
So, the displacement=1 mile
Therefore, the displacement is 1 mile.
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april and bill went to the grocery store to buy chocolate bars. April bought 4 small chocolate bars and 6 large chocolate bars and 3 large chocolate bars. if april paid $16.50 and bill paid $11.25 what is the price of a single large chocolate bar
The cost of a large single chocolate is $0.25.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that April and bill went to the grocery store to buy chocolate bars. April bought 4 small chocolate bars and 6 large chocolate bars and 3 large chocolate bars. April paid $16.50 and bill paid $11.25.
We can write -
4x + 6y = 16.50 ... Eq{ 1 }
3x = 11.25 ... Eq{ 2 }
On solving the equation, we get -
{x} = 11.25/3
{x} = 3.75
Now, we can write -
4x + 6y = 16.50
4 x 3.75 + 6y = 16.50
6y = 16.5 - 15
6y = 1.5
y = 1.5/6
{y} = 0.25
Therefore, the cost of a large single chocolate is $0.25.
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How do I show my work for how many 3/4 are in 6???
Answer: There are 8 3/4 in 6.
Step-by-step explanation:
To find out how many 3/4 are in 6, then divide 6 by 3/4.
6 ÷ 3/4 = 8
solve 2(4x+1)<3(2x-3)
Answer:
x < -5.5
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
first, treat it like an equation
2 ( 4x + 1 ) < 3 ( 2x - 3)
distribute
8x + 2 < 6x - 9
now use inverse operations
8x + 2 < 6x - 9
-2 -2
8x < 6x - 11
-6x -6x
2x < -11
/2 /2
x < -5.5
Adan works as an information technician and fitness trainer. As a technician, he earns $22 per hour. Last week he worked x hours as a technician and his friend paid him $50 for a day of fitness training. Write an expression to represent the total amount Adan earned last week.
Answer: t = 22x + 50
Step-by-step explanation:
t = total amount earned
x = hours worked
We know his friend payed $50, so that is our initial value. We don’t need hours for that one.
For his job as trainer, he earns $22 per hour but we don’t know how many hours he earned, so that is x. That is how I got the 22x.
Hope this helps! And of course, feel free to use any variables of your choice. :)
Value of x
(6x+2)°
(5x+22)°
Answer:
x=20°
Step-by-step explanation:
(6x+2)° and (5x+22)° are vertically opposite angles, hence VOA angles are equal so
(6x+2)°=(5x+22)°
6x°+2°=5x°+22°.... collect the like terms
6x°-5x°=22°-2°
x°=20°
what equation could be represented by the number line
A gardener is planting a garden in the shape of a square. The gardener wants the side of the square garden to be between 15 and 18 feet long. The gardener wants to put a fence around the garden. How many yards of fencing will be required to enclose this square garden? Remember that 3 feet equals 1 yard. If every yard of fencing costs $1.50, how much will the gardener need to build the fence?
Answer:
$31.99Step-by-step explanation:
The idea begin this problem is to solve for the perimeter of the square garden using the expression for perimeter which is
Perimeter of square= 4L
given that the garden wants the side of the square garden to be between 15 and 18 ft long
Say we go with a length of 16ft (you can pick any number in the range just maintain the formula for the perimeter)
perimeter= 4(16)
perimeter= 64ft
now we have to convert ft to yard
1 yard=3ft
x yard=64ft
cross multiply we have
x=64/3
x=21.33 yards
given that a yard cost $1.5, therefore 21.33 yards will cost
=21.33*1.5
=$31.99
Can somebody give me a answer and explanation to 19× −(1)∙ (−15) please.
Answer:
I dont know the answer but maybe this page can help, it even gives you the explanation or the steps.
Explanation:
symbolab.com
Round 82,236 to the nearest ten thousand.
Answer:
80,000
Step-by-step explanation:
2<5 thus you round down
What is the answer to this?
-6+13=
Answer: -6+13=7
Step-by-step explanation:
4x - 5 - 2x = x - 5
No Solution
X=0
X=4
X=5
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
4x - 5 - 2x = x - 5
Step 2: Solve for x
Combine like terms: 2x - 5 = x - 5Subtract x on both sides: x - 5 = -5Add 5 to both sides: x = 0Step 3: Check
Plug in x to verify it's a solution.
4(0) - 5 - 2(0) = 0 - 5
0 - 5 - 0 = -5
-5 = -5
Given the following diagram, enter the required information.
Answer:
39° 44' 52''Step-by-step explanation:
Givenm∠DXB = 70° 15' 12''m∠DXC = 30° 30' 20''To findm∠CXBSolutionAccording to Angle Addition postulate:
m∠DXB = m∠DXC + m∠CXBTherefore
m∠CXB = m∠DXB - m∠DXCm∠CXB = 70° 15' 12''- 30° 30' 20'' = 39° 44' 52''One angle of a triangle measures 118°. The other two angles are congruent. Enter and solve an equation to find the measure x of the congruent angles. An equation is = 180. The congruent angles each measure
Answer:
2x+118=180
x=31
Step-by-step explanation:
Congruent means equal so the two missing angles are same, therefore being 2x. Add 118 to 2x since it is already known and all of that is equal to 180. Solve:
2x+118=180
2x=62
X=31
, use a number line. Start at 0. Move forward 5 and then back up 7. How many yards must he get to get back to 0?
Answer:
2 yards.
Step-by-step explanation:
If you do what was stated in the problem, you would be left at -2. So, you would need to move up 2 yards to get back to 0.
Answer:
He must move two yards to get back to zero.
Step-by-step explanation:
He started at 0.
Moved forward 5 on the number line which puts him at 5
Then he moved back 7 which puts him at -2 on the number line
So from -2 on the number line he has to move 2 spaces to the right to get back to 0.
Hope this helps!! And good luck!
Jenna’s science teacher changed the number of assignments for the semester to 85. This is shown as the blue line on the graph.
How many more weeks will it take Jenna to complete all the assignments if she completes assignments at the same rate?
more weeks
Answer: it would be 3 more weeks
Answer:
3
Step-by-step explanation:
Which of these describes the best situation to use a bar chart to display your data? 1. When your independent variable is qualitative, and your dependent variable is qualitative 2. When your independent variable is qualitative, and your dependent variable is qualitative 3. When your independent variable is quantitative, and your dependent variable is qualitative 4. When your independent variable is quantitative, and your dependent variable is qualitative 5. When your independent variable is qualitative, and your dependent variable is quantitative 6. When your independent variable is qualitative, and your dependent variable is quantitative When your independent variable is quantitative, and your dependent variable is quantitative
Answer:
The correct option is;
5. When your independent variable is qualitative, and your dependent variable variable is quantitative
Step-by-step explanation:
A bar graph is a graph that is used for the comparison of the measured values of different groups of items and are typically used for comparison of data that belong to different categories rather than for comparison of a continuous data set, such that the categories of the data are presented in columns of a particular category along the horizontal axis, while the vertical represents the measured value for each category
Therefore, given that the independent variable is normally presented along the horizontal axis, and the dependent variable is normally presented along the vertical axis, we have that the bar chart is best suited when the independent variable is qualitative and the dependent variable is quantitative.
Answer:
The correct answer would be 5)When your independent variable is qualitative, and your dependent variable is quantitative.
The cost of 6 1/4 kg of apples is $400. How much do the apples cost per kg?
Answer: = Rs 64R
Step-by-step explanation:
The cost of 6 (1/4) kg = (25/4) of apples is Rs 400 Cost of apple per kg is = (25/4) /400 = (4/25) × 400
Simplify 3(2a - y) - 4(2y - a).
Answer:
10a - 11y
Step-by-step explanation:
3(2a - y) - 4(2y - a)
open the parenthesis
6a - 3y - 8y + 4a
combine like terms
6a + 4a - 3y - 8y
10a - 11y
Henry has a total of 26 quarters and dollars in his pocket. They're worth $17. How many of each type of coin
does Henry have?
A. 16 quarters and 10 dollars
B. 10 quarters and 16 dollars
C. 14 quarters and 12 dollars
D. 12 quarters and 14 dollars
Answer:d
Step-by-step explanation:
Jose needs to enclose a rectangular section of his yard. The perimeter of the section is 27 feet, and the area is 35 square feet. Find the length and width of the section.
Part II: The equation for area is A = LW. Substitute the expression you found for W in Part I into the area equation. Then, if the area is equal to 35 square feet, write the equation in standard form with a, b, and c as whole numbers.
are the trianlges congruent. am I right?
Answer:
The triangles are congruent.
Step-by-step explanation:
Don't let those little lines mess up. Both triangles have the same shape and size. They are congruent.
Mimi cycled a total of 12 kilometers by making 3 trips to work. After 4 trips to work, how many kilometers will Mimi have cycled in total?
Answer
Mimi made a total of 16 kilometers
Step-by-step explanation:
how do you make this symbol on laptop ≤ ive just copied and pasted it but how do you make it???
Answer:
It's better to just copy and paste every time you need to use it but if you use it often, hold the option key and period key. This only works on an apple mac.
Btw: It might not work im not sure, since im using a chromebook...
what is 0.075 and 3.56 as a fraction
Answer:
Step-by-step explanation:
1: 3/40
2:89/25
Anyone know how to do this? Need answers ASAP
Answer:
Sutraction property of equality
Step-by-step explanation:
A recipe calls for 3/4 cup of mayonnaise, 2/3 cups of sour cream, 1/2 cup of buttermilk, and 2 cups of spinach. What are the total cups of this recipe? Make sure your answer is in a mixed number fraction form.
Answer:
Step-by-step explanation:
I keep getting the answer wrong for the value please help.
Answer: d) +/- 2/3
Step-by-step explanation: Since x^2 is a exponent, to cancel it out you would have to square root both sides. Therefore, x is equal to +/- 2/3.
Answer:
D
Step-by-step explanation:
The answer is D which is ± 2/3.
x² = 36/81
The √36 is 6 and √81 is 9. So √(36/81) will be 2/3. However, the answer is ±2/3 because we are taking the square root so there's a possibility that the answer can be positive and negative.
The Pythagorean Theorem is
a2 + b2 = c2
a + b = c
c² + a²=b²
Answer:
a² + b² = c²
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We use the Pythagorean Theorem to help us solve for missing right triangle side lengths. It is wise to remember this formula.