Answer:
Step 1 of 2: Subtract.
Subtract
(
negative 5 over 8
−
5
8
) − (
negative 4 over 3
−
4
3
) =
17 over 24
17
24
Step 1 of 2: Subtract, sub-step a: Subtract a negative.
Subtract a negative
negative 5 over 8
−
5
8
− (
negative 4 over 3
−
4
3
) =
negative 5 over 8
−
5
8
+
4 over 3
4
3
Subtracting a negative is the same as adding a positive.
Step 1 of 2: Subtract, sub-step b: Find common denominator.
Find common denominator
negative 5 over 8
−
5
8
+
4 over 3
4
3
= −
( 5 × 3 ) over ( 8 × 3 )
5 × 3
8 × 3
+
( 4 × 8 ) over ( 3 × 8 )
4 × 8
3 × 8
=
negative 15 over 24
−
15
24
+
32 over 24
32
24
24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step c: Add.
Add
negative 15 over 24
−
15
24
+
32 over 24
32
24
=
(
negative 15
−15 + 32 ) over 24
negative 15
−15 + 32
24
=
17 over 24
17
24
Answer:
The answer would be 17/24
Step-by-step explanation:
1. Common denominator is going to be 24. 3(-5/8) - 8(-4/3)
2. Next multiply. -15/24 + 32/24
3. After addition you get 17/24 or 0.7
Andrew invests $9000
What are you asking?
Choose the inequality that represents the following graph
The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=
Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
The value of each expression is given below,
B(6)=85
B(2.75)=52.5
B(1.482)=39.82
Value of x for each expression,
B(x)=93; x=6.8
B(x)=42.1; x=1.7
B(x)=116.25; x=9.125
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is B(x)=10x+25.
The value of each expression will b calculated as,
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
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at edgars bakery one customer buys 4 donuts and 10 muffins for $32. Another customer buys 12 donuts and 5 muffins and pays $21.
x=price of donut
y=price of muffin
1. Write an equation to represent the first customer
2.write an equation to represent the 2nd customer
3.solve system of equations
Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.
The equation to represent the first customer is 4x + 10y = 32
The equation to represent the 2nd customer is 12x + 5y = 21
Solving the equations will be:
4x + 10y = 32 ...... i
12x + 5y = 21 ......ii
Multiply equation i by 12
Multiply equation ii by 4
48x + 120y = 384
48x + 20y = 84
100y = 380
y = 380/100 = 3.8
Therefore, we'll find the value for x which will be:
4x + 10y = 32
4x + 10(3.8) = 32
4x = 32 - 38
4x = -6
x = -1.5
Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.
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solve for x
2/x -2 = 3/2x +3
Step-by-step explanation:
Please help! Cant figure this one out!
Answer:
20.5
Step-by-step explanation:
Given that shapes are similar:
45 = 2x + 4 subtract 4 from both sides
41 = 2x divide both sides by 2
20.5 = x
which of the following is a multiple of 2
A. 2461
B. 1000
C. 75
D. 847
the answer is B. 2*500
1000
This is the answer
Step-by-step explanation:
Because it has 0 at the last
and 0 is divisible by 2
The only number that is a multiple of 2 among the given options is B. 1000.
To determine which of the given numbers is a multiple of 2, we need to check if the number is divisible by 2 without leaving a remainder. In other words, if a number is even, it is divisible by 2.
Let's examine each option:
A. 2461: This number is not divisible by 2 since it ends in 1, which makes it an odd number.
B. 1000: This number is divisible by 2 because it ends in 0. Even numbers always end in 0, 2, 4, 6, or 8.
C. 75: This number is not divisible by 2 because it ends in 5, which is an odd number.
D. 847: This number is not divisible by 2 since it ends in 7, which makes it an odd number.
Therefore, the only number that is a multiple of 2 among the given options is B. 1000. It is divisible by 2 and is an even number.
Knowing whether a number is a multiple of 2 is important in various mathematical and computational operations, such as determining divisibility, performing parity checks, and optimizing algorithms that involve even numbers.
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An employer pays 75% of an employee's health insurance premium.
If the premium is $4855 annually, how much is the employee's share of the premium?
O S3884.00
O S3641.25
O S1213.75
O $971.00
Answer:
1213.75
Step-by-step explanation:
you turn the percent int a decimal, and then multiply it by 4855. then the answer you get (3641.25) you subract 4855 by it to get the answer
Work out the area of this semicircle.
Take a to be 3. 142 and write down all of the digits given by your calculator.
11 cm
Answer:
Step-by-step explanation:
A = πr²/2 = 3.142(11²)/2 = 190.091 cm²
Use the drop down to chose the inequality that makes each statement true. A. -17 - 8 B. -27 - -32 C. 110 - -212 D. -432 - 375
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}[/tex]
[tex]\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}[/tex]
[tex]\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}[/tex]
[tex]\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}[/tex]
[tex]\huge\text{Answering \textsf{your question(s)....}}[/tex]
[tex]\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}[/tex]
[tex]\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}[/tex]
[tex]\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}[/tex]
[tex]\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\boxed{\frak{Amphitrite1040:)}\ \bf \heartsuit}[/tex]Please help and only answer if correct!
Answer: So last time it was 1/4 and 4 so it's no different it just going down by one so it's 1/3 and 3 if it's not I give up.
Step-by-step explanation:
a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.
Abcd is a parallelogram determine the length of BE
A)51 units
B)102 units
C)96 units
D) -11 units
Answer:
B) 102 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. This means ...
BE = ED
3 -9x = -8x +14
-11 = x . . . . . . . . . . . . add 9x -14
BE = 3 -9x = 3 -9(-11) = 3 +99
BE = 102 units
Determine which of the following graphs does not represent a function.
Determine which of the following graphs does not represent a function.
Answer: The graph I have attached an image of does not represent a function.
Step-by-step explanation:
This is because if we take the vertical line test, which is to draw a vertical line through any point of the x-axis. If the line passes through two points when it is vertical, the line doesn't represnt
a function.
Answer:
The correct answer goes from the 1st quadrant to the 4th quadrant.
Step-by-step explanation:
~Hope this helps!
The list of ordered pairs below represents a function.
{(-12, –8), (-2,7), (0,4), (-4,3)}
Find the range of the function. Write your answer' as a comma separated list.
Answer:
{-8, 3, 4, 7}
Step-by-step explanation:
range is y values in the ordered pairs
{-8, 3, 4, 7}
geomtry plz help me 15 pointz
Answer:
m∠R=76°
Step-by-step explanation:
∠STR=∠RST=(2x+2)° (base angles of isos triangle)
2(2x+2)+(3x+1)=180 (angle sum of triangle)
4x+4+3x+1=180
7x+5=180
7x=180-5
=175
x=175÷7
=25
Hence, m∠R = (3x+1)°
= [3(25)+1]°
= (75+1)°
= 76°
Answer:
m∠R=76º
Step-by-step explanation:
All angles in a triangle add up to 180º.
The triangle given is an isosceles triangle.
(2x+2)+(3x+1)+(2x+2)=180
Remove parentheses.
2x+2+3x+1+2x+2=180
Collect like terms.
7x+2+1+2=180
Add.
7x+5=180
Subtract 5 from both sides of the equation.
7x=175
Divide 7 from both sides of the equation.
x=25
m∠R=(3x+1)º
3x25+1=76º
m∠R=76º
Hope this helps :)
The graph below represents the function f(x) and the translated function g(x) .
If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?
Answer: D. [tex]g(x) = (x-b)^2[/tex]
Explanation:
If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.
Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.
So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2, what is the exact measure of θ? Give your answer in radians.
Answer:
Please double check the question
y = 2√2 is not on the unit circle
The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,
How to get the angle?A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]
[tex]1^2=\dfrac{2}{4}+y^2[/tex]
[tex]1-\dfrac{1}{2}=y^2[/tex]
[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
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Debra wants to rent a boat and spend at most $44. The boat costs $8 per hour, and Debra has a discount coupon for S4 off. What are the possibile numbers of
hours Debra could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
t ≤ 6
Step-by-step explanation:
8t - 4 ≤ 44
I hope this helps!
Bạn dự định đi học thêm vào mùa hè này. Nếu đi học bạn sẽ không thể đi làm với thu nhập là 5 triệu đồng và không thể ở nhà nghỉ ngơi. Học phí là 2 triệu, tiền mua giáo trình 300 ngàn, sinh hoạt phí là 1.5 triệu. Hãy xác định chi phí cơ hội của việc đi học thêm vào mùa hè này.
Answer:
4 better inbox
Step-by-step explanation:
According to the concept of tragic hero, can we consider the happy prince and the swallow tragic heroes?
Answer:
Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.
Step-by-step explanation:
СЕ
What is the product of
(5m2) (2m -3)
7
7m6
10
10m6
Answer:
10m^3-15m^2
Step-by-step explanation:
H e l p this is confusing
Answer:
The answer would be 780 miles
Step-by-step explanation:
The reason that that's the answer because since it says that they will average about 65 miles per hour on a 12 hour trip, you have to multiply 65 time 12, which is 780 miles, so
65 miles x 12 hours = 780 miles :)
Hope this helped!
In the coordinate plane, the points A(-8, -6), B(-9, 11), and C(3. - 7) are reflected over the y-axis to the points A, B, and C', respectively. What are the coordinates of A' B', and C'?
Answer:
A' = (8,-6)
B' = (9,11)
C' = (-3,-7)
Step-by-step explanation:
When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.
What is the slope of the function?
O-6
O 4
O 4
O 6
Answer:
12/2 = 6
Step-by-step explanation:
2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1
answer:
Step-by-step explanation:
I hope she is correct answer
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
This question is basically asking for the area of the tablecloth. Remember that A = l • w.
12 • 7 = 84
So, Henry will need to buy 84 ft^2 of fabric.
In a school of 1,000 students, 600 study physics, 300 study Calculus, and 100 study both. What is the probability that someone who does not study calculus studies physics? Give your answer as a decimal to one decimal place.
The probability that someone who does not study calculus studies physics is 0.5
Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.
Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.
Given that the number of students who study physics are 600, we have
x + y = 600 (1)
Also, given that the number of students who study calculus are 300, we have
x + z = 300 (2)
From (1)
y = 600 - x
y = 600 - 100
y = 500
So, the probability of students that study only physics = probability that someone who does not study calculus studies physics is
P(physics) = number of students studying only physics/total number of students
= 500/1000
= 5/10
= 0.5
So, probability that someone who does not study calculus studies physics is 0.5
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Describe fully the tranformation that takes shape P to shape Q
Answer:
Enlargement (aka: Dilation)
Step-by-step explanation:
As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.
Answer:
dilation by a scale factor by 3 about (1, 0)
Step-by-step explanation:
it is dilation by a scale factor of 3
see the below picture to find the center of dilation formula
(2, 1) (4, 3) points of transformation
center = (3*2 - 4 / 3 - 1, 3*1 - 3 / 3 - 1)
= ( 6 - 4 / 2, 0)
= (1, 0)
so single transformation is dilation by a scale factor by 3 about (1, 0)
Please give me examples to use
Answer:
cy+d to the middle of the problem
(PHOTO) Please help need this done by tomorrow thank you.
Solve for x. k 2x + 4 4x - 88 x = [?]
Answer:
2x + 4 = 4x - 88
x = 46
Answer:
x = 46
Step-by-step explanation:
These angles are known as corresponding angles. This means they are equal to one another.
[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]