Answers
Related Questions
a man drove to work at an average rate of speed 60 miles per hour and
returned over thesame route driving at an average rate of speed of 40 miles per hour. If his total driving time was 1 hour, what was the total number of miles in
the round trip?
Answers
let x = miles
we have x miles/ 60mph plus x miles / 40 mph = 1 hour
x/60 + x/40 = 1
we need to calculate 2x for the round trip
calculate common denominator and rewrite the 2 fractions:
2x/120 + 3x/120 = 1
5x= 120
x = 120/5 = 24 miles
24*2 = 48 miles total
check:
1 way would be 48/2 = 24 miles
24/60 = 0.4 hours to drive 24 miles at 60 mph
24/40 = 0.6 hours to drive 24 miles at 40 mph
0.6 +0.4 = 1 hour
If a ball rotates through 110 degrees in 8 seconds, how many rotations does it make in 32 seconds
Answers
If:
110....> 8 seconds
x........32 seconds
Cross multiply
8 * x = 32 * 110
8x = 3520
x = 3520/8
x= 440
It makes 440 rotations in 32 seconds
I hope this helps!
Find an equivalent mixed number for the decimal number 16.3
3
A. 16 -------
100
3
B. 16-------
10
63
C. 1-------
100
163
D. 1-------
100
Answers
answer
B. 16 3/10
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?
Answers
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.
3. The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy. Lola sold $2030 in ads, Ahmed sold $1540, and Tommy sold $1800.
(a) What fraction of the total sales did each salesperson sell?
(b) A $100 bonus was awarded to the three salespeople, which they had to share. It was awarded so that each salesperson received the same fraction of $100 as he or she sold of the total sales. How much did each person receive? Round to the nearest
answer a and b
Answers
Add the three totals.
Total sales for all three: $2030 + $1540 + $1800 = $5370
Now divide each person's sales by the total sales to find each person's fraction of the sales.
Lola: 2030/5370
Ahmed: 1540/5370
Tommy: 1800/5370
3. (b)
Multiply each fraction from part (a) by $100.
Lola: 2030/5370 * $100 = $37.80
Ahmed: 1540/5370 = $28.67
Tommy: 1800/5370 = $33.52
What are the length and width of a rectangle if the length exceeds the width by 75 inches and the perimeter is 158 inches
Answers
or width of 77 and length of 2
or width of 78 and length of 1
they all have a perminiter of 158 and all widths exceed 75
The sum of 4 consecutive integers is 130
Answers
31, 32, 33, 34.
To find the sum of 4 consecutive integers, set up an equation and solve for the unknown numbers. The solution is the four consecutive integers 31, 32, 33, and 34.
Explanation:To find the sum of 4 consecutive integers, we can set up an equation and solve for the unknown numbers. Let's assume the first number is n.
So, the sum can be represented as n + (n+1) + (n+2) + (n+3) = 130.
Combining like terms, we get 4n + 6 = 130. Solving this equation, we find that n = 31. Therefore, the four consecutive integers are 31, 32, 33, and 34.
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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
Answers
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.
What is the slope of the line?
y = 5 + 4x
Question 5 options:
a) 5
b) 9
c) 1
d) 4
Answers
The answer is to your question is B)4. Its y=mx+b and m is your slope and 4 is thw m.
Modeling with systems of linear inequalities
Answers
Modeling with systems of linear inequalities involves using multiple linear inequalities to represent constraints and solve problems with multiple variables. We can graph the inequalities on a coordinate plane and find the feasible region, which represents all the solutions that satisfy the constraints.
Explanation:Modeling with systems of linear inequalitiesModeling with systems of linear inequalities is a mathematical concept that involves using multiple linear inequalities to represent constraints in a real-world situation. This allows us to model and solve problems involving multiple variables and constraints, such as optimizing profit or finding feasible solutions.
Here's an example:
Let's say we have two variables, x and y, representing the number of units of two products.We also have two inequalities, 2x + 3y <= 10 and x + y >= 4.These inequalities represent constraints on the production and sales of the products.To model this situation, we graph the two inequalities on a coordinate plane.The feasible region, the area where the shaded regions of both inequalities overlap, represents the set of solutions that satisfy all the constraints.We can then use this model to analyze and solve various problems, such as finding the maximum profit by maximizing a certain objective function within the feasible region.Learn more about Modeling with systems of linear inequalities here:https://brainly.com/question/34246005
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A musician's hair was originally 3 inches long.She asked her hair dresser to cut 5/6 of it off.How many inches did she have cut off?
Answers
5/6 of 3 inches = 2.5 inches. (2 1/2)
So, the hair dresser cut off 2.5 inches of the musician's hair.
I hope my answer helped you out! :)
Solve for x, show all your work:
x3 = 10
Answers
repeating
How much is a $4 sandwich with a sales tax of 6%? (Round your answer to the nearest cent) *
Answers
The distance from earth to the sun is 9.3·107 miles. Express this number as an integer.
please answer asap!!!!
Answers
The distance from the earth to the sun is approximately 995 miles (integers can't be decimals or fractions).
The answer is 93000000
Allow 10 to the power of 7 is 10000000
10000000 times 9.3 = 93000000
Which measure is equivalent to 1.5 kg?
A 15 g
B 150 g
C 1500 g
D 15,000 g
Answers
Brief Explanation.
For every 1 kilogram there's 1000 grams
so if you were to have 1.5 kilograms you'd have
1,500 grams.
500 is half of 1000 so if you have a .5 you'd have 500 grams
which you would then add 500 to 1000 which would result in your answer
of 1500
The answer would be 1500g.= 1.5 kg.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, given that,
weight= 1.5 kg.
since there are 1000 grams in a kilogram.
For every,
1 kilogram there's 1000 grams
so, if you were to have 1.5 kilograms you'd have
1,500 grams.
500 is half of 1000 so if you have a 0.5 you'd have 500 grams
which you would then add 500 to 1000 which would result 1500.
Hence, the answer is 1.5 kg= 1500.
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What is the negative reciprocal of – ¾ ?
Answers
Answer: 4/3
Step-by-step explanation: When we use the word "negative reciprocal",
it's just a fancy way of saying flip the fraction and change the sign.
So the negative reciprocal of -3/4 is 4/3.
Write 17 as a decimal.
----
20
Answers
Answer:
0.85
Step-by-step explanation:
17/20=0.85
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.
Answers
d/t=s
Answer:
6mi=2hours
3mi=1hour
so she can go 3mph
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?
Answers
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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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?
Answers
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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plot -2 1/2 and 1 3/4 on a number line
Answers
To plot -2 1/2 and 1 3/4 on a number line, draw a line with zero at middle. Move 2.5 units to the left from zero for -2 1/2 and place a dot. Then, move 1.75 units to the right from zero for 1 3/4 and place a dot.
Explanation:To plot the numbers -2 1/2 and 1 3/4 on a number line, you first need to understand that these are mixed numbers. -2 1/2 means "two and a half units to the left of zero", whereas 1 3/4 means "one and three quarters units to the right of zero".
Step 1: Draw a number line with zero in the middle. Include distance markers each representing 1 unit. For the purpose of this exercise, let's say negative numbers are on the left and positive numbers are on the right.
Step 2: To plot -2 1/2, start at 0 and move 2.5 units to the left (-2 for the whole number and -0.5 for the fractional part). Place a point here.
Step 3: To plot 1 3/4, start at 0 and move 1.75 units to the right (+1 for the whole number and +0.75 for the fractional part). Place a point here.
This is how you plot the numbers -2 1/2 and 1 3/4 on a number line.
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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?
Answers
So if both got 52, the total points would be 104, for two games of 52 points. Since we want 141 points, we therefore want 37 more points to reach 141.
So the least amount of points a player could've scored in one of the games was 37.
A farmer picked 5 fewer peaches than 3 times the apples. The table shows how the number of peaches, p, depends on the number of apples, a. Choose the equation which represents the rule.
Answers
Answer:
no the answer is actually c if on usatestprep, Don't say random answers.
Step-by-step explanation:
81 is 54% of what number
Answers
54X / 100 = 81/1
crossmultiply
54x = 8100
x= 150
Hope this helped! :)
Hope it helps :)
What is the factored of the expressions 3×2+8×-16
Answers
So 3*2=6 and 8*-16 is -128, then you add them both.
So 6+(-128) is equals to -122. YOU'RE WELCOME :D
which two square roots are used to estimate 47
Answers
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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mrs watson is 28 years older than her daughter sarah's age x mrs watson is less than 54 year old how old is sara
write an inequality show work
Answers
m = x + 28
Mrs. Watson is less then 54
m < 54
now sub
x + 28 < 54
x < 54 - 28
x < 26.....so Sarah (x) is less then 26
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
Answers
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 expression is equivalent to 2x - 17? A) -17 + 2x B) -2x + 17 C) -2x - 17 D) 17 + 2x
Answers
The expression (2x - 17) is equivalent to (-17 + 2x). So, option A is the correct answer.
To determine which expression is equivalent to (2x - 17), we can use the distributive property to simplify each option.
A) (-17 + 2x):
This expression is equivalent because of the commutative property of addition. So, (A) is correct.
Here's the detailed calculation:
Given expression: [tex]\(2x - 17\)[/tex]
We'll use the distributive property:
[tex]\(2x - 17 = (2x) + (-17)\)[/tex]
Thus, the expression is already in the form of option A, which is [tex]\(-17 + 2x\)[/tex]. So, option A is the correct answer.
In summary, the expression (2x - 17) is equivalent to option A, (-17 + 2x).
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!
Answers
I believe the correct answer is -4/15.
Hope this helps! ☺♥
i hoped this helps