Using the conversion factor, we know that 30 miles are approximately 48 km.
What is the conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an equal value. For instance, 12 inches equals one foot when converting between inches and feet.So, 30 miles is how many kilometers:
We know that 1 mile = 1.60934 kmThen, 5 miles:
1.60934 × 5 = 8.04672 kmSimilarly 30 miles:
1.60934 × 30 = 48.2803Rounding off: 48 km approximately
Therefore, using the conversion factor, we know that 30 miles are approximately 48 km.
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Moana is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 12 cookies.
Answer:
2.5 Boxs (3 boxes rounded)
Step-by-step explanation:
Moana has 6 friends and each wants 5 cookies
We multiply 6 times 5 and get 30.
30/12 is 2.5 meaning Moana will need 2 and a half boxes of cookies, or rounded up 3 boxs
Question content area top
Part 1
Point B has coordinates (5,1). The x-coordinate of point A is −3. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
The possible coordinates of the point A is (-3, -5) and (-3, 7)
How the coordinates of point A can be calculated?The given parameters are:
Point B = (5, 1)Distance between the two points, D = 10 unitsx-coordinate of point A = −3 i.e. A = (-3, y)The distance between any two points is calculated as
D = √[(x₁ - x₂)² + (y₁ - y₂)²]
Substitute the known values in the above equation
So, we have
10 = √[(-3 - 5)² + (y - 1)²]
Evaluate
100 = 64 + (y - 1)²
Evaluate the like terms
(y - 1)² = 36
Take the square roots
y - 1 = ±6
This gives
y = 1 ± 6
So, we have
y = -5 and 7
Hence, the value of point A are (-3, -5) and (-3, 7)
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X NUMBER SYSTEM - 1/10 Which of the following expressions has a value that is less than -3? Select all that apply. You A) -4 + 8 B) 4-8 C) -7 - (-1) D) 5 + (-6) E) 9 - (-8)
B and C
Subtracting a negative is adding
3. An 8in by 12in picture is framed with a frame of uniform width. The entire perimeter of
the framed picture is 64 inches. Find the width of the frame. x.
Answer:
x=6in
Step-by-step explanation:
to find x, we need to figure out what side a(8in) + side b(12in)
8+12=20. what we need to be is 32 because 32 is half of 64, and we did half of the perimeter by only adding side b to side a, instead of adding them both twice.
the distance from 20 to 32 is 12.
x=6 because you have to add 6 to side b, and side a, and you will get 14in and 18in. 14+18=32
the reason i said, "the distance from 20 to 32 is 12." is because if you divide it by 2, you get the answer. this works is because we are dividing into two sides, like i said, so 12/2=answer
hope this helps
joanne has 300 sweets
she gives 1/2 of the sweets to erin
joanne then gives 1/3 of the remaining sweets to bob
how many sweets does joanne has left?
What rational number represents a drop of 4/14
The rational number that represents a drop of 4/14 is given by:
-4/14.
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts(also called whole numbers), or numbers in which the decimal parts are terminating or repeating with a pattern.Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots or the number pi = 3.1415....Rational numbers can be either positive or negative, and in the context of this problem, we have that:
A rise of x is represented by the positive rational number x.A drop of x is represented by the negative rational number x.Hence the negative rational number that represents a drop of 4/14 is given by:
-4/14.
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Help guys giving brainlyest to the best answer
Which graph best represents -2y =4x - 8 ? ASAP like RIGHT NEOW
The equation - 2y = 4x - 8 in slope intercept is y = - 2x + 4.
Consider the function,
- 2y = 4x - 8
The equation of a line in slope intercept form is y = mx + b where m is the slope and b is the y-intercept.
So,
- 2y = 4x - 8
y = - 2x + 4
Now,
When x = 0
y = - 2(0) + 4 = 4
When x = 1,
y = - 2(1) + 4 = 2
When x = 2,
y = - 2(2) + 4 = 0
When x = - 1,
y = - 2( - 1 ) + 4 = 6
When x = - 2,
y = - 2( - 2 ) + 4 = 8
When x = 3,
y = - 2( 3 ) + 4 = - 2
So, the point on the graph are ( 0, 4 ), ( 1, 2 ), ( 2, 0 ), ( 3, - 2), ( - 1, 6 ), ( - 2, 8 ).
Therefore, the graph of the function is:
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roman spun the spinner 34 times and landed on 4 a total of six times what is romans experimental probability
Romans experimental probability is 0.176.
What is probability?Probability simply means the likelihood that something will happen or take place.
In this case, Roman spun the spinner 34 times and landed on 4 a total of six time.
The probability will be:
= Number of occurence / Total available value
= 6 / 34
= 0.176
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drag the tiles to the correct boxes to complete the pairs. determine weather each pair of lines is perpendicular parallel or neither.
First, remember these two affirmations:
Two parallel lines have the same slope
Two perpendicular lines have the inverse slope, the slope of each one is multiplied by -1
So
We can see in the second option that equation one has the same slope that equation two except that the equation is multiplied by -1. So there are 2 perpendicular lines
In the third option, we can see the same slope in the two functions so is parallel
Finally, the first option doesn't have any relationship.
7. Find JL.
K #
M
J
N
5x – 16
#
4x + 34
L
The required side JL = 234 .
What is congruence of triangle ?Triangles that are congruent share the same size and shape. Triangles ABS and CDF in the figure below are congruent because their side lengths and angle measurements match.
After proving congruence of a triangle the corresponding part of these triangles will be equal .
Since we don't have any relation between Δ KMN and ΔKJL
Now in Δ KMN and ΔKJL
∠ MKN = ∠JKL { common angle }
KM = MJ { given that these two sides are equal }
KN = NL { given that these two sides are equal }
Thus from SAS congruence Δ KMN ≅ ΔKJL
Thus from CPCT ( corresponding parts of congruent triangles ) ,
5x - 16 = 4x + 34
x = 50
JL= 4 x + 34 = 234 .
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In an experiment, 60 drawing pins were thrown. 42 landed point up, the rest point down. a). What is the experimental probability of a drawing pin landing up
Answer:
jhikuk
Step-by-step explanation:
for every 4 green apples marion picks, she picks up 9 red apples. if marion picked 135 red apples, how many total apples did she pick?
Use The image to the right to answer Questions 1 - 4
1. Name two points collinear to point D.
2. Give another name for line p.
3. Name the intersection of line r and plane K.
4. Name a point non-coplanar to plane K.
Considering the given line and plane, it is found that:
1. Points E and F are colinear to point D.
2. Another name for line p is line AB, as these two points form the line.
3. The intersection of line r and plane K is at point X.
4. One point non-coplanar to plane K is of W.
Item 1Two points are colinear if they belong to the same line. In the context of this problem, points D, E and F belong to line q, hence points E and F are colinear to point D.
Item 2
Given two points, there is only one line that can pass through these points. Line p in this problem is composed by points A and B, hence the line can also be called line AB.
The intersection of a plane and a line is at a single point, and the point of line r that is coplanar to plane K is point X, hence it is the intersection of the line with the plane.
Item 4
A point is coplanar to a plane when the point belongs to the plane. In this problem, points W and Y do not belong to plane K, hence both are non-coplanar to plane K.
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-15 turned into a rational number as a/b
Answer:
-15/1 is a rational number that gives you the answer. There is other answers such as -45/3 to get -15, but -15/1 is much simpler.
Step-by-step explanation:
-15/1 is a rational number that gives you the answer. There is other answers such as -45/3 to get -15, but -15/1 is much simpler.
PLS HELP!!!
Carlos is a receptionist at a law firm. He spends 2 minutes routing each phone call as it
comes in.
Write an equation that shows how the total number of minutes Carlos spends routing calls, y,
depends on the number of calls, X.
The linear equation that relates the time with the number of calls is:
Y = (2min)*X
How to write the linear equation?We know that Carlos is a receptionist at a law firm. We know that he spends 2 minutes routing each phone as it comes in.
So if we define Y as the number of minutes Carlos spends routing calls, and X as the number of calls that come in, the linear equation resulting will be:
Y = (2min)*X
By evaluating that linear equation in the correspondent value of X, we will get the time it took to connect those calls.
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PLEASE HELP I CANT LET MY GRADES GET ANY LOWER!!!
Which is the BEST next step for solving the inequality shown?
14 > x + 7(x+1) -1
14 > x + 7x + 7 -1
A. Subtract x from both sides of the inequality.
B. Subtract 7 from both sides of the inequality.
C. Combine the like terms on the right-hand side of the inequality.
D. Add 1 to both sides of the inequality.
The next step is Add 1 to both sides of the inequality.
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
14 > x + 7(x+1) -1
14 > x + 7x + 7 -1
now, Add 1 to both sides of the inequality.
14+ 1 > x+ 7x + 7- 1 +1
15> x+ 7x +7
again, Subtract 7 from both sides of the inequality.
15 - 7 > x+ 7x + 7 -7
8 > x+ 7x
and, 8 > 8x
1>x
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Tenisha works 40 Hours. A week
And earns $550 per week At Here
Job. The Company Gives Tenisha
A Raise, Now She earns $634 Per week.
How much Is Tenisha's Rais Per Hour?
Answer:
15.85
Step-by-step explanation:
if you take and divide 634 by the 40 hours she works you get 15.85 also doing 550/40 gives you 13.75 to find the difference if you need it subtract 15.85-13.75= 2.1
can you help me with this please? Sara has 6 pounds of jelly beans to fill Easter treat bags. Each bag will contain 1\4 of a pound of jelly beans. Does Sara have enough jelly beans to fill 28 treat bags?
No, 24 bags are sufficient for jelly beans.
What is division?something that partitions or separates. a dividing line or mark; something that denotes a division. a division of anything into one or more segments; section. Dissension is the separation caused by differences in feeling or thought. Multiplication is the opposite of division.
According to question,
Sara have 6 pounds of jelly beans.
and one bag contains 1/4 of a pound of jelly beans
hence,
6 ÷ ¼ = 6×4 = 24
She has enough for 24 bags
Not sufficient for 28 bags.
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Find the quotient of 1 5 6 ÷ 2 1 8 Give your answer as a fraction in its simplest form.
78/ 109 is approximately equal to 0.71559
you can check your calculator to know the decimal form.
hope it's helpful!
20 POINTS I NEED HELP ASAP!
Answer:
slope = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1-(-1)}{3-(-2)}[/tex] = [tex]\frac{1+1}{3+2}[/tex] = [tex]\frac{2}{5}[/tex]
Please explain the law of detachment and the law of syllogism.
Please also give 1 example for each law.
Law of Syllogism
The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c.There are also three parts involved in the law of syllogism, and each of these parts is called a conditional statement. A conditional statement has a hypothesis, which follows after the word if, and it has a conclusion, which follows after the word then. A letter is used to represent each phrase of the conditional statement. Let me introduce the pattern, and then we can look at some examples. Statement 1: If p, then q. Statement 2: If q, then r. Statement 3: If p, then r. Statements 1 and 2 are called the premises of the argument. If they are true, then statement 3 must be the valid conclusion.Law of Detachment
The law of detachment states that if a conditional statement is true and its antecedent is true, then the consequence must also be true.There are endless examples both in mathematics and beyond of the law of detachment. One example is a coffee shop that gives a free drink to every 25th customer. As a conditional statement, this is “If someone is the 25th customer, then they get a free drink. ”Thus, if you are the 25th customer, you know you will get a free drink. Likewise, if your friend is the 25th customer, you know he will get a free drink.Sources: https://www.storyofmathematics.com/law-of-detachment/
https://study.com/academy/lesson/law-of-syllogism-in-geometry-definition-examples.html
Refer to the attachment
PLEASE HELP DUE SOON
(a lot of points)
Answer:Im not sure, but i think it's 443,17$
Step-by-step explanation:
She worked 37 Hours
37*9,25 (9,25 is the money she got by each hour) = 342,25
The sum of all sales is 3,364$, 3% of that is 100,92
342,25 + 100,92 = 443,17
Dalvin is going to invest in an account paying an interest rate of 3.1% compounded annually. How much would Dalvin need to invest, to the nearest dollar, for the value of the account to reach $1,620 in 20 years?
Answer:
$880
Step-by-step explanation:
[tex]p( {1.031}^{20} ) = 1620[/tex]
[tex]p = \frac{1620}{ {1.031}^{20} } = 879.71[/tex]
To the nearest dollar: $880
What is the answer??
Answer(0,-1)(1,2)
the line passes through thees two points
Step-by-step explanation:
i hope this helped
have a great day ^^
Jimmy ran 20 meters west from home and then turned north to jog 25 meters. jimmy ran 45 meters, but could have arrived at the same point by jogging in a straight line. how many meters could he have jogged using a straight line distance? responses 3.5 meters 3.5 meters 7 meters
Using the Pythagorean Theorem, it is found that using a straight line distance, he could have jogged 32 meters.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the equation presented as follows:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In the context of this problem, the sides of the triangle are given as follows:
20 meters west = 20 meters to the left.25 meters north = 25 meters up.Hence the distance that he could have jogged is the hypotenuse of the right triangle, calculated as follows:
d² = 20² + 25²
d = sqrt(20² + 25²)
d = 32 meters.
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write y+1=-2(x-3) in slope intercept form
im not sure but i believe this is right i hope this helps
Is 8 a rational number integer or whole number
Answer:
8 is a rational number, an integer, and a whole number.
Step-by-step explanation:
rational numbers are numbers that repeat with a definite pattern, and/or terminate (finite amount of decimal points)
Answer: intager and whole number
Step-by-step explanation:
Ratianal number =Any number that can be written as a ratio (or fraction) of two integers
Intager=An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Whole number=The numbers that include natural numbers and zero. Not a fraction or decimal
Which expression best estimates -18 -
O 18-3
-18-3
O -18-(-3)
O 18-(-3)
Answer:
b
Step-by-step explanation:
-18 1/4 rounds to -18.
2 2/3 rounds to 3.
Answer: b
Square abcd, shown below, contains eleven smaller, un-shaded squares. The side length of each small square is of the side length ofsquare abcd. What percentage of square abcd is 1 5 shaded?
Answer:%56
Step-by-step explanation:
