Answer:
A fraction that is equivalent to
8
3
is
16
6
.
Explanation:
To determine a fraction that is equivalent to
8
3
, multiply by a fraction equivalent to 1
A fraction equivalent to 1 is a fraction such as
2
2
and
3
3
. Multiplying by these is the same as multiplying by 1, so the ratio does not change.
One example is to multiply
8
3
by
2
2
.
8
3
×
2
2
=
16
6
8
3
and
16
6
have the same ratio, 3:8.
If you divide each numerator by each denominator, the result will also be the same.
3÷8=0.375
6÷16=0.375
You can do this with any equivalent fraction, even
100
100
and higher!
Other equivalent fractions to
8
3
are:
24
9
,
32
12
,
64
24
,
160
60
,
168
63
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $57,077 , and the variable costs will be $11.75 per book. With the other method, the one-time fixed costs will total $22,459, and the variable costs will be $21.25 per book. For how many books produced will the costs from the two methods be the same?
Answer:
for 3644 produced books the costs will be the same.
Step-by-step explanation:
x = number of books
f(x) = production method 1 costs
g(x) = production method 2 costs
f(x) = 11.75x + 57077
g(x) = 21.25x + 22459
for what number of books (x) will that be the same ?
11.75x + 57077 = 21.25x + 22459
34618 = 9.5x
x = 34618 / 9.5 = 3644
What is known about Θ, the angle between two nonzero vectors u and v, if each of the following is true? Explain your answers.
Answer:
The angle between two nonzero vectors u and v is given by
Cos Θ=u*v/║u║║v║
1) If u*v=0, then CosΘ=0
arccos 0=90°
2) If u*v > 0, then CosΘ >0
If (cos Θ > 0, then Θ is less than 90°
3) If u*v < 0, then Cos Θ < 0
If Cos Θ < 0, then Θ is greater than 90°
OAmalOHopeO
The coordinates of the points T and Q are (4, 2) and (6, 0) respectively. Find vector QT.
Answer:
2.828
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(6 - 4)² + (0 - 2)²
√(2)² + (-2)²
√4 + 4
√8
2.828
how do you solve this
Answer:
x = 8
Step-by-step explanation:
The angles shown are vertical angles
Vertical angles are congruent hence 8x + 36 = 5x + 60
( Notice that we just created an equation that we can use to solve for x )
We now solve for x algebraically
8x + 36 = 5x + 60
Step 1: Subtract 5x from both sides
8x - 5x + 36 = 5x - 5x + 60
Outcome: 3x + 36 = 60
Step 2: Subtract 36 from both sides
3x + 36 - 36 = 60 - 36
Outcome: 3x = 24
Step 3: Divide both sides by 3
3x/3 = 24/3
Outcome: x = 8
Find the area of the triangle.
A. 27.8km^2
B. 32.8 km^2
C.14.9 km^2
D. 54.8km^2
Answer:
32.8 mi²
Step-by-step explanation:
Hi there!
Area of a triangle when given two sides, a and b, and the angle that conjoins them, C:
[tex]A=\frac{1}{2} ab*sinC[/tex]
Plug in the known information:
a=11, b=6, C=97°
[tex]A=\frac{1}{2} (11)(6)*sin(97)\\A=33sin(97)\\A=32.8[/tex]
Therefore, the area of the triangle is approximately 32.8 mi².
I hope this helps!
Answer:
B
Step-by-step explanation:
The trick here is to find the height. The answer is
height = sin(180 - 97) * 11
The height is found by finding the supplement of 97, taking the sin of that angle and multiplying by 11.
There is a drawing required. You need to extend ZY until a line from x meets ZY (extended) at right angles. When that happens you find the sine of the supplement.
height = sin(83)*11
height = 10.92
Now use the standard area formula.
Area = base (ZY) * height / 2
base = 6
height = 10.92
Area = 6 * 10.92 /2
Area = 32.75
Point Q is the centroid of △ABC. QF = _____
A. 10
B. 5
C. 15
D. 9
Answer: QF = 5
Step-by-step explanation:
We know that if a triangle has a centroid, the ratio of the longer segment to shorter segment is 2:1. We can set up a proportion [tex]\frac{2}{1} = \frac{10}{x}[/tex], where x is the length of QF. By cross multiplying and dividing, you get x = 5 or QF = 5.
Answer:
5
Step-by-step explanation:
Vicky makes jewelry.she uses 42 beads for each necklace that she makes,and she has 500 beads.how many necklaces can she make explain with work?
Answer:
11
Step-by-step explanation:
Vicky used 462 beads to make 11 necklaces, she would have left 38 beads.
Answer:
He make seven necklaces
What is the inverse of the function f(x) = 4x + 8?
o n(x) = x-2
Which of the
following shows the graph of y = 2e*?
if there both consecutive doesn't that mean that there both -9 so how is one bigger an one smaller....
Answer:
-14
Step-by-step explanation:
have a great day good luck
Find θ. Round to the nearest degree.
hypotenuse = 14
adjacent = 5
5.1.3: Right Triangle Trigonometry
Answer:
the answer is c
Step-by-step explanation:
when solving for theta, we are given the side length adjacent to it (5) and the length of the hypotenuse ( 14).
the trigonometric function that deals with adjacent and hypotenuse values is cosine.
you can use SOH CAH TOA
stands for :
sin = opposite/hypotenuse
cos = adjacent/ hypotenuse
tan = opposite/adjacent
we dont know theta so :
cos(theta) = 5/14
cos = about 69
check :
cos(69) = 5/14
cos(69) = 0.35836794954
5/14 = 0.35714285714
Classify the triangle.
obtuse
equiangular
right
acute
Answer:
acute triangle
Step-by-step explanation:
We have 3 angles that are not equal to each other
They are all smaller than 90 degrees which means they are acute angles
Answer:
Acute
Step-by-step explanation:
Acute=less than 90 degrees
Obtuse=more than 90 degrees
Right=1 side has 90 degrees
Equiangular=every side has the same degree
Therefore, it would be Acute
Find the mean and median for the graph?
Answer:
so from looking at this we can see there is
0=5
1=5
2=3
3=2
4=4
5=1
6=2
7=2
8=1
9=1
now we have to add them up
5+6+16+5+12+14+8+9=75
and now we have to add up the total plots on the chart
5+5+3+2+4+1+2+2+1+1=26
now we divide
75 divided by 26=2.88461538462
so 2.9 is the mean
now we add up the number from least to greatest
0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,5,6,6,7,7,8,9
so the medien is 4
Hope This Helps!!!
Step-by-step explanation:
Finding the median
The median is the number that is located in the middle of the set of numbers. First you count the number of X's, which is 26. This means that the median is in between number 13 and 14, which is 2 and 3 in this number set. Then you average the two numbers ([tex]\frac{2+3}{2}[/tex]) to get 2.5.
Finding the mean
The mean is the average of all of the numbers located in the set. First, you add up all of the numbers.
5(0) + 5(1) +3(2) + 2(3) +4(4) + 1(5) + 2(6) + 2(7) + 1(8) + 1(9) = 81
After, you divide by how many numbers there are in the set, which as we found earlier, is 26
[tex]\frac{81}{26}[/tex] = 3.12
Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order?
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the total orders is not given.
To solve this question, I will assume a value for the total number of order.
Let
[tex]x \to 12-cup[/tex]
[tex]n_x = 18[/tex] ---- number of 12-cup
[tex]y \to 36-cup[/tex]
[tex]n_y = ??[/tex] ---- number of 36-cup
[tex]n \to[/tex] Total order
Required
Calculate [tex]n_y[/tex]
To do this, we make use of the following equation:
[tex]n_x * x + n_y * y = n[/tex]
Substitute known values
[tex]18 * 12 + n_y * 36 = n[/tex]
[tex]216 + 36n_y= n[/tex]
Collect like terms
[tex]36n_y= n - 216[/tex]
Divide both sides by 36
[tex]n_y= \frac{n - 216}{36}[/tex]
Assume the number of orders is: 540 cups
The equation becomes
[tex]n_y= \frac{540 - 216}{36}[/tex]
[tex]n_y= \frac{324}{36}[/tex]
[tex]n_y= 9[/tex]
explain how the exteriorv relates to the i
Step-by-step explanation:
in this situation
A+B =D
. Don, Ron, and Con earned $300. Don is to
receive one-quarter, Ron is to receive one-fifth
and Con will receive the remainder.
(a) What fraction of the earnings will Con
receive?
Answer:11/20
Step-by-step explanation:
Don: 1/4 of $300 = 300x.25 = $75
Ron:1/5 of $300 = 300x.20 = $60
75 + 60 = $135
300-135 = $165
165/300 = .55 = 55% = 55/100 = 11/20
OR
take 1/4 and 1/5 and make denominators equal
D: 5/20 and R: 4/20 = D+R:9/20 so C:11/20
What is 13/3.5 and could you give a step by step
Answer:
[tex]3\frac{5}{7}[/tex]
Step-by-step explanation:
13 ÷ 3.5
[tex]3.5=3\frac{5}{10}[/tex]
Write a paragraph or two column proof.
Given: ABCD is a dart with segment AB = segment AD
and segment BC= segment DC.
Prove: Angle B = Angle D
AB = AD and BC = DC are given. Furthermore, we can see that AC = AC by the reflexive property. We have three pairs of congruent corresponding sides, which allows us to use the SSS congruence theorem. From that, we would use CPCTC to conclude that angle B is congruent to angle D.
CPCTC = corresponding parts of congruent triangles are congruent.
the diagram shows a straight line.
l find the equation of line l find the equation of the line perpendicular to line l that passes through 9.3
First find the gradient of L.
-6÷3=-2
gradients of perpendicular lines multiply together to give -1.
(-2)×1/2=-1
m=1/2 or 0.5
y=0.5x-1.5
Instructions: For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed.
Sequence: −9,−14,−19,−24,…
Answer:
hope it helps plz mark me brainliest ;)
Step-by-step explanation:
A.P. -9,-14,-19,-24
first term (a) = -9
common difference of the A.P. (d) = -14 - (-9)
= -14 + 9
= -5
an = a + (n-1) d
here we find a30 and a20
so for 30th term
a30 = a+ (20-1) d
= -9 + (19) (-5)
= -9 -95
= -104
so
a30 - a20 = -154 - (-104)
= -154 + 104
= -50
therefore for the given A.P a30 - a20 = -50
Answer:
Different sequence but just in-case anyone needs it
d=-20
Explicit
Recursive
Step-by-step explanation:
Instructions: For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed.
Sequence: 5,−15,−35,−55,…
Common Difference:
Answer -20
an=25−20n
Answer Explicit
an=an−1−20
a1=5
Answer Recursive
Use a calculator to determine the unknown angle, to the nearest degree, in each of the following expressions.
tan A = 5/4
cos G = 0.88
Answer:
Using a calculator;
A is approximately 51.34°
G is approximately 28.36°
Step-by-step explanation:
Part 1
The given trigonometric ratio is presented as follows;
tan A = 5/4
Therefore, the angle, A = arctan(5/4)
Using a calculator, the value of A is found as follows;
1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)
2. Entering 5/4 into the calculator, using the keypad
3 . Selecting the arctan button to give, A ≈ 51.34°
Part 2
The given trigonometric ratio is cos G = 0.88
Therefore, G = arccos(0.88)
1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)
2. Enter 0.88 into the calculator by typing
3. Select arccos from the function menu, to give
arcos(0.88) = G ≈ 28.36°.
Instructions: Find the measure of the missing angles in the kite
Answer:
m∠1 = 103
m∠2 = 103
Step-by-step explanation:
by definition, the opposite angles of a kite are congruent.
we know that a quadrilateral's angles add up to 360.
117 º+ 37º + 2xº = 360º
2xº = 206º
xº=103º
Help me please with this math question asap
Answer:
5
Step-by-step explanation:
A function
[tex]a \times {b}^{x} [/tex]
where a is the initial value and b is the multiplicative rate of change.
In the function,
[tex]f(x) = 2 \times {5}^{x} [/tex]
5 is the value of b so
5 is the multipicative rate of change
How many even integers are in the range 5n to 5n + 10 if 5n is a positive odd integer? I will mark brainliest and give heart.
The integers ranging from 5n to 5n + 10, with 5n as a positive odd integer, in each case, the range contains three even integers.
Determining the integersWhen n = 1:
The range is 5(1) to 5(1) + 10
= 5 to 15.
There are three even integers in this range: 6, 8, and 10.
When n = 3:
The range is 5(3) to 5(3) + 10
= 15 to 25.
There are three even integers in this range: 16, 18, and 20.
When n = 5:
The range is 5(5) to 5(5) + 10
= 25 to 35.
There are three even integers in this range: 26, 28, and 30.
In each case, the range contains three even integers.
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Is it possible to relate cyclones to mathematics?
If yes, explain your thinking with the help of drawings (no need to use
downloaded images) What are the mathematical concepts, theorems and
shapes related to cyclones.
Answer:
Yes
Step-by-step explanation:
Statistics can perdict cyclones for example lets say that somewhere a cyclone happens almost every February then its statistically likely to happen this February too.
9. Calculate the angle of elevation of the line of sight of a person 27.5 m away from a tree, whose
eye is 1.8 m above the ground, and is looking at the top of a 19.4 tree. (draw a diagram and
answer to the nearest degree)
Answer:
32.61° is the answer
Step-by-step explanation:
Tanx=17.6/27.5
Sam buys a game console and a cartridge for 546 . The cartridge costs 1/5 as much as the game console . Find the cost of the game console .
Answer:
10100009ehsbsbb hebehe
Answer:
The game console cost $436.80
Step-by-step explanation:
546 x 0.20 = 109.20
546 - 109.20 = 436.80
Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1?
6, 1, –4, –9, –14
Answer:
f(n) = f(n - 1) - 5
Step-by-step explanation:
The recursive formula allows a term in the sequence to be found by adding the constant difference to the previous term.
Here d = 1 - 6 = - 4 - 1 = - 9 - (- 4) = - 14 - (- 9) = - 5 , then
f(n) = f(n - 1) - 5 with n ≥ 1 and f(1) = 6
Gabriela was given a 15% increase in wages. If she earned $36,000 last year, what can she expect to earn this year?
The increase in the amount of wages of Gabriela is $ 41,400
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount after increase in wages be = A
Now , the initial amount of Gabriela be = $ 36,000
And , the percentage increase in the wages = 15 %
So , the equation will be
Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )
Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )
Total amount after increase in wages A = 36000 + ( 15 x 360 )
Total amount after increase in wages A = 36000 + 5400
Total amount after increase in wages A = $ 41,400
Therefore , the value of A is $ 41,400
Hence , The increase in the amount of wages of Gabriela is $ 41,400
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D is the centroid. Find Q D if DK =6.5.
Answer:
QD = 13
Step-by-step explanation:
According to the Centroid theorem of a triangle, the Centroid is ⅔ of the distance from every vertex angle to the midpoint of the side opposite to each of them.
By this we can deduce that:
QD = ⅔(QD + DK)
Substitute
QD = ⅔(QD + 6.5)
Multiply both sides by 3
3*QD = 2(QD + 6.5)
3QD = 2QD + 13
Subtract both sides by 2QD
3QD - 2QD = 13
QD = 13
