Answers
2. a=30 and b=60
Related Questions
At a toy factory, toy cars are produced on an assembly line. It takes 8.216 seconds to attach the wheels. It takes 3.652 seconds to attach the hood. How long does it take to attach the wheels and hoods on 42 toy cars
Answers
At a toy factory, it takes 498.456 seconds to attach the wheels and hoods on 42 toy cars.
We have been given that toy cars are manufactured on an assembly line in a toy factory. Attaching the wheels takes 8.216 seconds. Attaching the hood takes 3.652 seconds.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 12×2 = 24
To determine the time it takes to attach the wheels and hoods on 42 toy cars
According to the given condition, the arithmetic form would be as
⇒ 42 × (8.216 + 3.652)
Calculate the sum of the difference to get,
⇒ 42 × (11.868)
Apply the multiplication operation, and we get
⇒ 498.456
Therefore, it takes 498.456 seconds to attach the wheels and hoods on 42 toy cars.
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3(b-4)=5b-2 plz help I'm confused
Answers
3b - 12 = 5b - 2
3b - 5b = 12 - 2
-2b = 10
b = -5
hope this helps
-12=2b-2
-10=2b
b=-5
What is the definition of proof in geometry
Answers
When the factors ofa trinomial are (x+ p) and (x + q) then the coefficient ofthe x- term in the trinomial is:?
Answers
the table represent a linear function
X Y
-2 -2
-1 1
0 4
1 7
2 10
what is the slope of the function?
-3
-2
3
4
Answers
Answer:
The answer is 3.
Step-by-step explanation:
In order to determine the slope of the function, we have to know about linear function.
In any linear function, we can get its slope using two pairs of coordinates that belong to the linear function.
m=Slope of the linear function.
P1=(x1,y1)=First pair of coordinate.
P2=(x2,y2)=Second pair of coordinate.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case, we have many pairs of coordinates, so we choose two of them:
[tex]P_1=(-1,1)\\P_2=(0,4)[/tex]
Then, we replace them in the slope formula:
[tex]m=\frac{4-1}{0-(-1)}=\frac{3}{1}=3[/tex]
Finally, the slope of the function is 3.
A restaurant bill before tax is 65.50.if the sales tax is 8% and the a 18% tip is added what is the total cost
Answers
$65.50 + $5.24 (8%tax ) = $70.74
$70.74 + $12.73 (18%) = $83.47
Cynthia besch wants to buy a rug for a room that is 18 ft wide and 30 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 220 square feet of carpeting. what dimensions should the rugâ have?
Answers
A train travels 750 miles in 15 hours. which unit rate describes the speed of the train?
a. 50 miles per hour
b. 75 miles per hour
c. 150 miles per hour
d. 350 miles per hour
Answers
Hanks pickup can travel 60miles on 4gallons of gas. How many gallons will hanks pickup need to travel 30miles?
Answers
Suppose you are going to make a sandwich. You have mayonnaise and mustard to spread on the bread. You have white, wheat, and rye bread. You have ham, turkey, and pastrami. How many different sandwiches can you make using one spread, one type of bread, and one type of meat?
Answers
m8 thats alot of samiches
2 spreads
3 breads
3 meats
2 * 3 *3 = 18
18 different sandwiches....now I'm hungry
What is the square root of 83 to the nearest tenth?
Answers
9 to the closest tenth is 10.
Hope I helped :)
Based on the information given the square root of 83 to the nearest tenth is 9.1.
Square root:To determine the square root to the nearest tenth we will have to find the square root of the given number which is 83.
Hence,
Square root=√83
Square root= 9.1104335791443
Square root=9.1 nearest tenth
Inconclusion the square root of 83 to the nearest tenth is 9.1.
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An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each. How many packages of paper does the office use each week?
Answers
The office uses 26 and a half package of papers.
What is division?Division is the process of splitting a number or an amount into equal parts.
Given that, An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each.
To find the number of packages of paper, the office use each week, we will divide the total paper used in one week to paper in 1 package
Therefore, the number of packages of paper, the office use each week = 478 / 18 = 26.5
That means they are using 26 package plus a half package in one week.
Hence, The office uses 26 and a half package of papers.
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Assume that lines that appear to be parallel are parallel. Find the value of x and the measure of angle y
Answers
(9x+1)+(14x-34)=180
There, we have an equation we can fairly easily solve for x. What about y?
If we take a look at the line y° occupies, we can see that it shares a straight angle with our (14x-34)° term and - as implied by the right angle on the bottom line - a 90° angle.
All three of these should add up to 180°, so we have:
(14x-34) + y + 90 = 180
Another think to note is that, upon inspection, (14x-34)° and y° are complementary - they add up to 90° - and subtracting the 90 from both sides of our equation confirms that fact:
(14x-34) + y = 90
If you've solved for x prior to this, solving for y should be pretty straightforward.
Answer:
The answer would be (14x-34) + y = 90.
Step-by-step explanation:
Ohhhhh! I have a Brainliest!
Answers
2. 4 1/3
hope this helps please give brainliest and 5 stars and a thank you
The length of a rectangle is 3 meters less than twice the width. if the area of the rectangle is 527 square meters, find the dimensions.
Answers
Answer:
w=17
l=31
Step-by-step explanation:
correct
two cruise ships are sailing towards each other from caribbean islands that are 264 km apart, one ship travels 4 km/h faster than the other. if they both started at the same time. and meet after 6h. how fast is the other ship travelling?
Answers
The slower ship is traveling at a speed of 21 km/h, while the faster ship is traveling at a speed of 25 km/h.
Explanation:This is a mathematics problem that involves solving for unknown speeds with the given conditions. Lets assume the speed of the slower ship is x km/h. Thus, the speed of the faster ship is x+4 km/h. They are moving towards each other, thus their combined speed is (x+x+4) km/h. As speed is distance over time, we can set up the equation: (2x+4)*6 = 264. Solving this equation, we end up with x=21 km/h as the speed of the slower ship, and hence the speed of the faster ship is 25 km/h.
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2+1/6y=3x+4 solve for y
Answers
Answer y=18x+12
× 6y throughout
12y + 1 = 18xy + 24y
Send 12y to the other side
12y + 18xy = 1
Y is common
y (12 + 18x) = 1
y = 1/ (12 + 18x)
Hope it helped!
Prove that acceleration is perpendicular to velocity
Answers
Find the equation of the line that is perpendicular to the line 3x-y=-4 and contains the point (-2,4)
Answers
- 3x - 3x
-------------------
y = -3x - 4
Slope: -3
Opposite Reciprocal Slope: 1/3
Given: (-2,4)
Point Slope Form: y - y₁ = m(x - x₁)
y - 4 = 1/3(x + 2)
y - 4 = 1/3x + 2/3
+ 4 + 4
-----------------------------
y = 1/3x + 14/3
1) Write the sum or difference in the standard form a + bi. (2 points)
( 7 + 5i) - ( -9 + i)
a) 16+4i
b) -16-4i
c) 16-4i
d) -2+6i
2) Write the product in standard form. (2 points)
( 7 + 7i)( 6 + 7i)
a) -7 + 91i
b) 49i2 + 91i + 42
c) 91 - 7i
d) -7 - 91i
3) Find the product of the complex number and its conjugate. (2 points)
1 + 3i
a) 1 + 9i
b) 10
c) -8
d) 1-9i
4) Write the expression in standard form. (2 points)
three divided by quantity three minus twelve i.
a) - one divided by seventeen. + four divided by seventeen. i
b) one divided by seventeen. - four divided by seventeen. i
c) - one divided by seventeen. - four divided by seventeen. i
d) one divided by seventeen. + four divided by seventeen. i
5) Find the real numbers x and y that make the equation true. (2 points)
5 + yi = x + 3i
Answers
1)
[tex]( 7 + 5i) - ( -9 + i)=7+5i+9-i=(7+9)+(5i-i)=16+4i[/tex]
2)
Distribute 7+7i over 6 and 7i:
[tex]( 7 + 7i)( 6 + 7i)=( 7 + 7i)\cdot6+( 7 + 7i)\cdot7i=42+42i+49i+49i^2[/tex]
collecting similar terms, and substituting [tex]i^2[/tex] with -1 we have:
42+91i-49=-7+91 i
3)
The conjugate of a complex number a+bi is a-bi;
the conjugate of 1+3i is 1-3i.
Thus, using the difference of squares formula we have
[tex](1+3i)(1-3i)=1^2-(3i)^2=1-9i^2=1-9(-1)=1+9=10[/tex]
4)
To write a rational expression ( with a complex number in the denominator) in the standard form, we multiply by the conjugate of the denominator both the numerator and the denominator:
[tex]\displaystyle{ \frac{3}{3-12i}= \frac{3(3+12i)}{(3-12i)(3+12i)}= \frac{9+36i}{3^2-(12i)^2} [/tex]
[tex]=\displaystyle{ \frac{9+36i}{9+144}= \frac{9+36i}{153}= \frac{9}{153}+ \frac{36}{153}i [/tex]
simplifying by 9, the complex number is finally written as
[tex]\displaystyle{ \frac{1}{17}+ \frac{4}{17}i [/tex]
5)
2 complex numbers a+bi, and c+di are equal only if a=c, and b=d. (Where a, b, c, d are real numbers.)
Thus, x=5, and y=3 is the solution to the equation.
Answers:
1) A
2) A
3) B
4) D
5) (x, y) =( 5, 3)
Use the converse of the pythagorean theorem to determine whether the triangle with the given vertices is a right triangle. (2, 1)(6, 4), (–4, 9)
Answers
let : A(2, 1) , B(6, 4) , C(–4, 9)
calculate : AB , AC, BC
AB = √((6-2)² + (4-1)²) = √25 = 5
AC= √((-4-2)² + (9-1)²) = √100 = 10
BC= √((-4-6)² + (9-4)²) = √125
by pythagorean theorem : BC² = AC² + AB²
the triangle is rectangle in : A
How do i factor -1/2 out of -1/2x + 6
Answers
-1/2(x - 12)
multiply -2 to the 6 so that when you multiply -1/2 into the expression it will turn into positive 6
hope this helps
F= 9/5C + 32, solve for F please.
Answers
the total points scored in a basketball game can be calculated using the expression 3c - 3 if c = 41, how many points total were scored
Answers
Answer:
its actually 126
Step-by-step explanation:
The total points scored in the basketball game is 120 points.
Explanation:To find the total points scored in a basketball game, we can use the expression 3c - 3. Given that c is equal to 41, we can substitute this value into the expression to calculate the total points.
So, 3c - 3 = 3(41) - 3 = 123 - 3 = 120.
Therefore, a total of 120 points were scored in the basketball game.
Reflection : Across the line y = 1
Answers
Reflecting across y = 1 means each point's position stays the same horizontally but mirrors vertically across the line.
When reflecting a point or shape across a line, y = 1,
it means that each point is mirrored on the other side of the line while maintaining the same distance from the line.
Here, the line y = 1 acts as a "mirror" or "axis of reflection."
To reflect a point (x, y) across the line y = 1, follow these steps:
Find the vertical distance between the point and the line y = 1. Let's call this distance "d."
If the point is above the line (y > 1), then d = y - 1.
If the point is below the line (y < 1), then d = 1 - y.
Move the point to the same vertical distance on the other side of the line y = 1.
If the point was above the line (y > 1), the new reflected point will be (x, 1 + d).
If the point was below the line (y < 1), the new reflected point will be (x, 1 - d).
Keep in mind that the x-coordinate remains the same in both cases since the line of reflection is vertical (parallel to the y-axis).
By repeating these steps for all points in a shape, obtain the reflection of the entire shape across the line y = 1.
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If 5 people including mary and bob are arranged randomly in a line, what is the probability that mary and bob are next to one another?
Answers
MBXXX
BMXXX
XMBXX
XBMXX
XXMBX
XXBMX
XXXMB
XXXBM
There are 8 arrangements out of the 120 where Mary and Bob are next to each other, which means that they have an 8/120 = 1/15 chance of ending up in that situation.
What is 4,080,499 rounded to the nearest thousand?
Answers
You have 6 green marbles, 23 blue marbles, and 18 red marbles. what is the probability of choosing a red marble. express your answer as a fraction in lowest terms.
Answers
A number sentence is said to be true if both numerical expressions are
Answers
Which statement is true about the difference 2√7-√28
Answers
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4*7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4)*sqrt(7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - 2*sqrt(7)
2*sqrt(7) - sqrt(28) = (2-2)*sqrt(7)
2*sqrt(7) - sqrt(28) = (0)*sqrt(7)
2*sqrt(7) - sqrt(28) = 0
So the whole complicated expression simplifies to 0 (zero)
This is because sqrt(28) = 2*sqrt(7) when you simplify sqrt(28)
Side Note: "sqrt" is shorthand for "square root"