Explain how to do -12 - (-98) + 7 - 3
Answers
Step by step explanation:
Since we know a negative minus a negative equals a positive then
-12 - -98 = 86
Then 86 + 7 = 93
And finally 93 - 3 = 90
Hope this helps mate
Related Questions
Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.
Answers
The total value of the furniture sold by Joyce last week is A = $ 6,733.33
Given data ,
Let's call the value of the furniture Joyce sold "x".
She receives 10% commission on the first $1,200 of sales, which is $120:
Commission on first $1,200 = 0.1 * 1200 = 120
The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:
Remaining sales = x - 1200
She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:
Commission on remaining sales = 0.15 * (x - 1200)
Her total earnings from commission last week was $950. So we can write an equation:
Commission on first $1,200 + Commission on remaining sales = $950
Substituting the expressions we found for the two commissions, we get:
120 + 0.15(x - 1200) = 950
120 + 0.15x - 180 = 950
On simplifying the equation , we get
0.15x - 60 = 950
0.15x = 1010
x = 6,733.33
Hence , the value of the furniture Joyce sold last week was $6,733.33
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A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?
Answers
Answer:
14 or 13 layers
Step-by-step explanation:
Answer:
A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?
5 layers
The image shows a circle centered at point O angle AOB Measures at 42 degrees.
What is the Measure of the angle acb explain your reasoning
Answers
The measure of angle ACB for circle centered at point O is 21°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
∠AOB = 2 * ∠ACB (angle at center is twice the angle at circumference)
42 = 2 * ∠ACB
∠ACB = 21°
The measure of angle ACB for circle centered at point O is 21°
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Pablo randomly picks three marbles from a bag of nine marbles (four red ones, three green ones, and two yellow ones).a). How many outcomes are there in the sample space outcomesb). How many outcomes in the event that none of the marbles he picks are red? outcomes
Answers
Answer:
not sure
Step-by-step explanation:
What are the domain and range of g(x)= √x-3?
A. D: [3, ∞) and R: [0, ∞)
B. D: [–3, ∞) and R: [0, ∞)
C. D: (–3, ∞) and R: (–∞, 0)
D. D: (3, ∞) and R: (–∞, 0)
Answers
Answer:
I guess, A is the wanted answer, but
A and D together are the really correct answer.
Step-by-step explanation:
if I understand this correctly, then
g(x) = sqrt(x - 3)
the domain of a function is the definition of all valid x (input) values.
the range of a function is the definition of all valid y (result) values.
well, the content (the arguments) of a square root cannot be negative (at least not while dealing with real numbers).
so, the answer options B and D are automatically out, because the domain contains values that would make the arguments of the square root negative.
I guess your teacher wants to focus only on the positive results of the square root, so A is the correct number.
BUT formally, without designated restrictions, a square root has always 2 solutions : a positive and a negative one.
because (-x)² = (x)² = x².
so, I would have to say that the really correct answer is
A + D, because the range contains both, the positive and the negative numbers.
Help, please picture below
Answers
Answer:
C
Step-by-step explanation:
180 - (73 + 62) =
180 - 135 = 45 degrees
180 - 45 = 135 degrees
Hope that helps!
3. Andrea is 14 years old and works in her parent's movie theater on Saturdays and
Sundays. If she worked 7 1/2 hours on Saturday and 7 hours on Sunday, how
much did she earn if her parents pay her $8 per hour? If she must put 1/4 of her
earnings in her savings account, how much will she have left to spend?
Answers
Answer:
80
Step-by-step explanation:
multiply 8 into 14 Inna half the divide it by 1 fourth
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph
Answers
Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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The graph of the curve C with equation y = f(x) is transformed to give
the graph of the curve S with equation y = f(-x) - 5
The point on C with coordinates (8, 3) is mapped to the point Q on S.
Find the coordinates of Q
Answers
Answer:
(-8,-2)
Step-by-step explanation:
f(-x) - 5 is horizontally reflected and moved down 5 units from f(x)
So first reflecting we get
(-8,3)
Then moving down 5 units we get
(-8.-2)
if this was helpful pls give me brainliest <3
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answers
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
The shape below is a cone.
The base diameter AB = 44 cm.
-
Work out the size of angle AOB.
Give your answer to 2 d.p.
A0
72.3 cm
Not drawn accurately
2
Answers
Set up the equation to determine the arc length. Arc length is equal to 2 pi times the arc's radius times (arc's central angle/360), where arc's central angle is expressed in degrees.
What is meant by equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Take a look at the formula 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the word "equal."Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is something like 4 + 6 = 10.To learn more about equation, refer to:
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house designer uses computer-aided drawings to illustrate new houses. She likes to show her drawings to clients on a large screen. She often uses the zoom-in function to enlarge the drawings so that clients can see certain features better.
Each click of the zoom-in button results in a 10 percent increase in the size of a drawing.
(a) On a certain drawing of a house, the width of the front door is 3 inches on screen, using the default settings. Make a table of values to show the width of the door on screen after each of the first four clicks of the zoom-in button. These values should be accurate to the thousandths place.
(b) Write an algebraic rule for the function that will give the display size of the door for any number of clicks.
c) To show clients a detail on the front door, she needs to zoom in so the door is approximately 3 feet wide on screen. How many clicks of the zoom-in button will be needed to make this enlargement? Explain how you got your answer.
d) Suppose one click of the zoom-out button results in a 10 percent decrease in the size of the drawing. How many clicks of the zoom-out button would it take to transform the display of the door from 3 feet wide back to a width of approximately 3 inches?
Explain how you got your answer.
Answers
(a) Clicks Width of Door (inches)
1 3.3
2 3.63
3 3.99
4 4.39
(b) The function is y = 3 (1.1)ˣ.
(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.
(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.
(a)
Clicks Width of Door (inches)
1 3.3
2 3.63
3 3.99
4 4.39
(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:
y = 3 (1.1)ˣ
(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:
3 (1.1)ˣ = 36
Dividing both sides by 3, we get:
(1.1)ˣ = 12
Taking the logarithm of both sides (with base 1.1), we get:
x = log(12) / log(1.1) ≈ 14.7
So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.
(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):
36 (0.9)ˣ = 3
Dividing both sides by 36, we get:
(0.9)ˣ = 1/12
Taking the logarithm of both sides (with base 0.9), we get:
x = log(1/12) / log(0.9) ≈ 11.5
So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.
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"Y varies directly as x". If y = 3 when x = 24, find y when x = 10.
Answers
Answer:
y=3x-24
Step-by-step explanation:
Please help me .....
Answers
Answer:120
Step-by-step explanation:
if the mean of x,x+3,x-5,2x and 3x then find the value of x
Answers
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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A line intersects the points
(8, 2) and (12, -10).
m = -3
Write an equation in point-slope form
using the point (8, 2).
y - [?] =(x-1)
Answers
The equation in the point-slope form using the coordinates (8, 2) and slope -3 is 2 = -3x + 8.
What is point-slope form?A line's equation is written using a single point on the line and the line's slope is referred to as the point-slope form.
The slope is the rise over run or the proportion of the change in the y values over the change in the x values, and the point form is denoted as (x,y).
We must first determine the point and slope of a line when it is supplied in the point-slope form before we can graph it.
So, the point-slope form is:
y = MX + b or y -b = MX
Where m is the slope, ye is the y coordinate and b is the x coordinate.
We have a slope of -3 and the coordinates are (8, 2)
Then, the point-slope form is:
y = MX + b
2 = -3x + 8
2 - 8 = -3x
-6 = -3x
Therefore, the equation in the point-slope form using the coordinates (8, 2) and slope -3 is 2 = -3x + 8.
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A bank manager wants to encourage new customers to open accounts with principals of at least $3500. He decides to make a poster advertising a simple interest rate of 3%. What must the principal be if the bank manager also wants to advertise that one can earn $10 the first month?
Answers
The principal if the bank manager also wants to advertise that one can earn $10 the first month is $4000.
How to calculate the principal?From the information, the simple interest is $10 and the rate is illustrated as 3%.
The formula for the simple interest in a month is illustrated as:
S = (p × r × t/12 / 100)
r = rate
t = time
S = interest
Place the values in the formula:
10 = p × 3 × 1 / 100 × 12
10 = 3p/1200
Cross multiply
3p = 12000
Divide
p = 12000/3
p = 4000
The principal is $4000.
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An bus station has determined that the relationship between the number of passengers on a bus and the total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation y=118+14x. Predict the weight of luggage for a flight with 142 passengers.
Answers
Answer:
The weight of luggage for a flight with 142 passengers is 2,106
Step-by-step explanation:
The total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation:
y=118+14*x
where y is the total weight of luggage stored in the luggage compartment and x is the number of passengers on a bus.
If you want to predict the weight of luggage for a flight with 142 passengers, this means that x must have a value of 142. So, replacing in the expression:
y=118+14*142
you get:
y=118+1,988
y=2,106
The weight of luggage for a flight with 142 passengers is 2,106
Please help me i need help.
Answers
Answer:
5x+7 > 17 matches with 3.
1+3x > -5 matches with 2.
2x+1 < 3 matches with 1.
5-3x > 11 matches with 4.
Step-by-step explanation:
A rectangle has a width of 46 centimeters and a perimeter of 210 centimeters. What is the rectangles length?
Answers
Answer:
59 cm
Step-by-step explanation:
First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.
what is the y coordinate of the point shown in the graph
Answers
Answer:
What's the graph?
Step-by-step explanation:
Write in ordinary form
3.6
×
10
−
1
Answers
10/1 = 10
so 3.6 x 10 = 36
:)
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answers
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Which graph best represents the equation -4x + 5y = 8? A. B. C. D.
Answers
Answer:
It will look like this
Step-by-step explanation:
The equation of line y = 4 / 5x + 8 / 5 can be represented on the basis of coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph attached below.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
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.
Given:
-4x + 5y = 8
Write the line in slope intercept form as shown below,
5y = 4x + 8
y = 4 / 5x + 8 / 5
Put the random values of x and find y,
y = 4 / 5 × 0 + 8 / 5 (when x = 0)
y = 8 / 5
y = 4 / 5 × 1 + 8 / 5 (When x = 1)
y = 12 / 5
y = 4 / 5 × 10 + 8 / 5 (When x = 10)
y = 48 / 5
Plot the coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph and mark the points, joining all the points to get the line.
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6/10 + 5/100
is it
65/100 or 65/110 or 56/100 or 56/110
Answers
Answer:
65/100 that is the answer to this question
What is the answer to -n + 9n
Answers
What is the answer to -n + 9n
-n + 9n= 8n
= 9n-n = (9-1)*n= 8n
You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 6.1 percent interest. If the two accounts pay 3 percent and 7 percent interest, how much should you invest in each account?
$625 in 3%, $375 in 7%
$850 in 3%, $150 in 7%
$450 in 3%, $550 in 7%
$225 in 3%, $775 in 7%
Answers
The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
You have $1000 to put resources into two distinct records. To set aside the cash you really want for school, you really want to average a 6.1 percent premium. Assuming the two records pay a 3% and 7 % premium.
Let 'x' be the amount deposited in an account that pays 3% of interest. Then the amount deposited in another account that pays 7% of interest is (1000 - x). Then the equation is given as,
0.03x + 0.07(1000 - x) = 0.061 × 1000
Simplify the equation, then we have
0.03x + 0.07(1000 - x) = 0.061 × 1000
0.03x + 70 - 0.07x = 61
-0.04x + 70 = 61
0.04x = 70 - 61
0.04x = 9
x = 9 / 0.04
x = $225
Then the amount in the second account will be given as,
⇒ $1000 - $225
⇒ $775
The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.
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Construction workers are paving a road. The road must drop 4 cm for every 650 cm measured horizontally.
a) What is the slope of the road?
b) Suppose a section of the road drops 24.5 cm. How long is this section of the road measured horizontally?
Answers
Answer:
a)
slope = (-4 cm) / (650 cm)
slope ≈ -0.00615
b) the section of the road measured horizontally is approximately 3983.74 cm long.
Step-by-step explanation:
change in horizontal distance = (change in vertical distance) / slope
change in horizontal distance = (-24.5 cm) / (-0.00615)
change in horizontal distance ≈ 3983.74 cm
Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
Answers
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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which of these is a ratio table?
Answers
Answer:
The last graph.
Step-by-step explanation:
The last graph is the only one that has a constant pattern that can have a rule, which is every number is multiplied by two.
Hope this helped ! good luck :)