Set up the equation
The product of a number(variable) and 4 increased by 16 is -2
Haley is considering two gym membership plans. The plans are detailed here. Plan one $50 for a monthly pass and a $3 fee for each gym visit plan to $10 for each gym visit what is a system of equations that represents the cost of the plans?
The two situations can be represented as C(x) = 3x + 50 and C(x) = 10x.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Let the no. of gym visits be 'x' and the total cost be C(x).
Given, Plan one $50 for a monthly pass and a $3 fee for each gym visit.
∴ C(x) = 3x + 50.
Plan two $10 for each gym visit.
∴ C(x) = 10x.
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In a particular card game, the minimum score a player can achieve in a single game is 20, and the maximum score possible in a single game is 52. If a player plays three games and scores a total of 141 points, what is the least number of points that the player could have scored in one of the games?
There are 64 teams in a basketball tournament each team has 14 players. How many basketball players in all are in the tournament
Find the orthocenter of ABC
Answer:
(7,3)
Step-by-step explanation:
Mate weighed each of his cats. He found that Betty weighed 1 1/4 kilograms, Fido weighed 2 kilograms, Spot weighed 1 5/8 kilograms, Yogi weighted 3 4/9 kilograms, and Smart weighed 4 1/10 kilograms
What was the weight of Nate’s heaviest cat?
The weight of Nate’s heaviest cat is:
4 1/10 kilograms=4.1 kilograms ( Smart)
Step-by-step explanation:Weight of Betty is:1 1/4 kilograms which in decimals is: 1.25 kilograms.
Also,
Weight of Fido is:2 kilograms
Weight of Spot is:1 5/8 kilograms which in decimals is: 1.625 kilograms
Weight of Yogi is:3 4/9 kilograms which in decimals is: 3.444 kilograms
Weight of Smart is:4 1/10 kilograms which in decimals is: 4.1 kilograms
Hence, we observe that Smart weight is highest amongst the weight of the other cats.
Solve for x, show all your work:
x3 = 10
Three different hoses, each with its own pump, can be used to fill a swimming pool. If hose A is used by itself, the pool takes 6 h to fill. Is hose B is used by itself, the pool takes 3 h to fill. If hose C is used by itself, the pool takes 2 h to fill. If all three hoses are used at the same time, how long does the pool take to fill?
(c) Mrs. Dewalt looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.
Which word completely describes the rhombus?
A.equilateral
B.equiangular
C.regular
Product a is an 8 oz bottle of cough medication that sells for a $1.36 product B is a 16oz bottle of cough medication that costs $3.20 which product has the lower unit price
Brennan took a total of 16 pages of notes during 8 hours of class. After attending 10 hours of class, how many total pages of notes will Brennan have in his notebook? Assume the relationship is directly proportional.
ana hikes at a constant speed.She travels 6 miles in 2 hours. Find her speed in miles per hour.Use it to write an equation for the distance ,d, that ana travels in h hours.
Answer:
6mi=2hours
3mi=1hour
so she can go 3mph
A sweater is marked down $25 to $19 what is the percent of change
To solve the problem we must know about Percentage.
PercentageA percentage is a way to describe a part of a whole. such as the fraction [tex]\bold{\dfrac{1}{4}}[/tex] can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given to us
A sweater is marked down $25 to $19AssumptionLet the x% be the remaining amount.
Remaining Amountx% of $25 = $19
[tex]\dfrac{x}{100} \times \$25 = \$19\\\\\dfrac{x}{100} \times 25 = 19\\\\\dfrac{x}{4} = 19\\\\x = 19\times 4\\x = 76[/tex]
Thus, $19 is 76% of $25.
Percent of changethe percent of change = Orignal percentage - final percentage
= 100% - 76%
= 24%
Hence, the percentage change is 24%.
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What is the slope of the line?
y = 5 + 4x
Question 5 options:
a) 5
b) 9
c) 1
d) 4
The answer is to your question is B)4. Its y=mx+b and m is your slope and 4 is thw m.
What is the factored of the expressions 3×2+8×-16
Timothy recorded the monthly change in his savings account balance, in dollars, for 8 months. Month January February March April May June July August Balance Change (dollars) −30 −15 55 40 −20 −45 −10 65 What is the average monthly change in Timothy's savings account balance? Enter your answer in the box.
Answer:
5
Step-by-step explanation:
took the test
which expression is the same as 2(n+7)
a football team lost 4yards on each of 2 plays,gained 14 yards on the thrid play and lost 5 yards on the fourth play.
Please figure this out and show your work
What is the slope-intercept form of the linear equation 2x–8y=32 ?
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box. (Graph is on picture)
Which equation shows y=3/4x-5/2 in standard form?
A. 3x−4y=10
B. 3x−4y=−10
C. 4x−3y=10
D. 4x−3y=−10
1. The slope-intercept form of the linear equation [tex]\(2x - 8y = 32\)[/tex] is [tex]\(y = \frac{1}{4}x - 4\).[/tex]
2. The equation of the graphed line is [tex]\(y = -\frac{9}{8}x + 7\).[/tex]
3. The standard form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex] is option A: [tex]\(3x - 4y = 10\).[/tex]
Let's break down the given information step by step:
1. Slope-Intercept Form of the Linear Equation:
- The given equation is 2x - 8y = 32.
- To express it in slope-intercept form (y = mx + b), we need to solve for y:
2x - 8y = 32
-8y = -2x + 32
[tex]y = \frac{1}{4}x - 4[/tex]
Therefore, the slope-intercept form of the given equation is [tex]\(y = \frac{1}{4}x - 4\)[/tex].
2. Equation of the Graphed Line:
- The graphed line has the equation [tex]\(y = -\frac{9}{8}x + 7\)[/tex].
3. Standard Form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex]:
- We want to express [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex] in standard form (Ax + By = C).
- Multiply both sides of the equation by 4 to get rid of fractions:
4y = 3x - 10
3x - 4y = 10
Therefore, the standard form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\) is \(3x - 4y = 10\)[/tex].
Given this information, the correct answer is A. 3x − 4y = 10.
Show me one way to count from $82 to $512
Find an equivalent mixed number for the decimal number 2.64
A. 2 32/100
B. 2 64/50
C. 2 37/50
D. 2 16/25
Answer:
d) 2 16/25
Step-by-step explanation:
Now we have to,
→ convert into mixed fraction.
Let's solve the problem,
→ 2.64
→ (264/100)
→ 2 64/100
→ 2 16/25
Hence, option (d) is correct.
which two square roots are used to estimate 47
The two square roots used to estimate the number 47 are 6 and 7, because their squares, 36 and 49 respectively, are the nearest perfect squares to 47.
Explanation:The problem is asking for the two square roots used to estimate the number 47. To solve this, think of two perfect squares that are the closest to 47. Those would be the squares of 6 and 7, because 62 equals 36 and 72 equals 49, which are the closest perfect squares to 47. So, we would use 6 and 7 to estimate the square root of 47.
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What are the length and width of a rectangle if the length exceeds the width by 75 inches and the perimeter is 158 inches
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?
It's B
just took test
The equation of the line passing through points (5, 0) and (0, 2) is y = -2/5x + 2 and slope is -2/5.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is 2x + 5y = 10.
We have to change this equation to slope intercept form
Isolate the term y from the equation
Subtract 2x from both sides
5y = -2x + 10
Divide both sides by 5
y = -2/5x + 2
the slope will be -2/5
Hence, the equation of the line passing through points (5, 0) and (0, 2) is y = -2/5x + 2 and slope is -2/5.
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URGENT WILL MARK BRAINLIEST!
Starting at sea level, a submarine descended at a constant rate to a depth of −4/5 mile relative to sea level in 3 minutes.
What was the submarine's depth relative to sea level after the first minute?
Simplest form please!
If a ball rotates through 110 degrees in 8 seconds, how many rotations does it make in 32 seconds
When comparing answers on a group assignment, Jenny and Jeremy found that their answers did not match.
Part 1: Who do you believe has the correct solution for the group assignment—Jenny or Jeremy? In two or more complete sentences, explain, in mathematical terms, the reasoning behind your conjecture.
Part 2: Use long division to convert the fraction provided in each of the student's answers to a decimal number. Include all of your calculations in your final answer.
Part 3: Using complete sentences, compare your conjecture in Part 1 with your results in Part 2. Was your conjecture correct or incorrect?
81 is 54% of what number