We use Integers in everyday life when we solve real-world problems.
Let’s understand a real-life problem using integers.
Christian borrowed $1000 to buy a computer. After some time, she has paid back $250. How much does Christian still owe?
First, we will write a simple equation to represent the problem.
Let the amount that Christian still owes = 'x'
1000 = 250 + x
Now, we will rearrange the equation to isolate .
Then, solve for x.
The answer is 750.
Christian still owes = $750.
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Kevin rode his bike 18 miles in 1 1/2 hours. Write the ratio for miles to
hours in three different ways.
Kevin rides hid bike at 12mph
you can write that as
12:1
12 to 1
12/1
The shapes below are drawn on the centimetre grid.
Show that the triangle and the rectangle have the same area.
The area of the triangle = the area of the rectangle = 6 cm².
How to Find the Area of a Rectangle and a Triangle?The area of a triangle = 1/2(base)(height)
The area of any rectangle = (length)(width)
Area of the triangle:
Base = 4 cm
Height = 3 cm
Area of the triangle = 1/2(4)(3)
Area of the triangle = 6 cm²
Area of the rectangle:
Length = 3 cm
Width = 2 cm
Area of the rectangle = (3)(2) = 6 cm²
Therefore, the area of the triangle = the area of the rectangle = 6 cm².
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Perdon Corporation manufactures safes-large mobile safes, and large walk-in stationary bank safes. As part of its annual budgeting
process, Perdon is analyzing the profitability of its two products. Part of this analysis involves estimating the amount of overhead to be
allocated to each product line. The information shown below relates to overhead.
Units planned for production
Material moves per product line
Purchase orders per product line
Direct labor hours per product line
(a)
* Your answer is incorrect.
(1) One mobile safe
(2) One walk-in safe $
Mobile Safes
eTextbook and Media
200
300
450
800
Walk-in Safes
The total estimated manufacturing overhead was $272,000. Under traditional costing (which assigns overhead on the basis of
direct labor hours), what amount of manufacturing overhead costs are assigned to: (Round answers to 2 decimal places, eg. 12.25.)
448
3808
50
200
350
1,700
per unit
per unit
If the total estimated manufacturing overhead was $272,000. Under traditional costing (which assigns overhead on the basis of direct labor hours), the amount of manufacturing overhead costs are assigned t0 Mobile safe, Walk-in safe are: $435.2 $3,699.2.
Manufacturing overhead costPredetermined overhead rate is:
Estimated overhead cost $272,000
Estimated overhead driver 2,500
(800 + 1,700)
Predetermined overhead rate $108.8 per direct labor hour
($272,000/2,500)
The overhead cost per unit:
Mobile safe Walk-in safe
Predetermined rate $108.8 $108.8
Number of DL Hours for the product line 800 1,700
Overhead cost assigned to the product line $87,040 $184,960
Number of units 200 50
Manufacturing overhead costs assigned to each unit $435.2 $3,699.2
($87,040/200) ($184,960/50)
Therefore the amount of manufacturing overhead costs are assigned t0 Mobile safe, Walk-in safe are: $435.2 $3,699.2.
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The complete question is:
Perdon Corporation manufactures safes—large mobile safes, and large walk-in stationary bank safes. As part of its annual budgeting process, Perdon is analyzing the profitability of its two products. Part of this analysis involves estimating the amount of overhead to be allocated to each product line. The information shown below relates to overhead.
Mobile Safes Walk-in Safes
Units planned for production 200 50
Material moves per product line 300 200
Purchase orders per product line 450 350
Direct labor hours per product line 800 1,700
The total estimated manufacturing overhead was $272,000. Under traditional costing (which assigns overhead on the basis of direct labor hours), what amount of manufacturing overhead costs are assigned to: (Round answers to 2 decimal places, e.g. 12.25.)
SIMPLIFY THE EXPRESSION - 4 1/6 - (- 6 1/3)
What multiple of 81 is between 80200 and 80300?
Answer:
80 271
Step-by-step explanation:
80200 / 81 = 990.123
so 991 * 81 = 80 271
The multiple of 81 between 80200 and 80300 is 80271.
What is multiple?Multiple can be thought of as how many times a number is being multiplied, Like 81n where n ∈ N.
The difference between 80200 and 80300 is 100 and it is not twice the value of 81 so there will be only one such number which is a multiple of 81.
One easy way of determining it divide the larger value by 81 and subtract the remainder from it.
∴ 80300 ÷ 81.
= (991×81) + 29.
∴ The multiple of 81 between 80200 and 80300 is
(80300 - 29) = 80271.
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Which values are solutions to the inequality -3x - 4 < 2 ?
Answer:
-3x-4<2
Step-by-step explanation:
it would end up being 3
=======================================
relocating 4 to the right
[tex]-3x < 2+4\\-3x < 6[/tex]
dividing -3 to both sides
[tex]x > -2[/tex]
don't forget to reverse inequality order.
=======================================
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[tex]\textcopyright ELIZA[/tex]
Find the value of x.
110
(4x +90)°
x = [?1°
x=5
steps
they are vertical angles
they are equal
4x+90=110
4x=20
x=5
Answer:
Step-by-step explanation:
9900
A bag of apples weighs 9 1/3 lbs. If there are 14 apples in the bag, what is the weight of one individual apple
The weight of one individual apple is 2 / 3 pounds.
How to find the weight of each apple ?The bag of apples weighs 9 1/3 lbs.
There are 14 apples in the bag.
The weight of one individual apple in the bag can be calculated as follows:
weight of the bag of apples = 9 1 / 3 = 28 / 3 pounds
There are 14 apples.
Therefore,
14 apples = 28 / 3 pounds
1 apple = ? pounds
cross multiply
Hence,
weight of one apple = 28 / 3 ÷ 14
weight of one apple = 28 / 3 × 1 / 14
weight of one apple = 28 / 42
weight of one apple = 2 / 3
Therefore, the weight of one individual apple is 2 / 3 pounds.
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An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm. on the drawing for every 8 m. on the sculpture. What is the area of the scale drawing?
The area of the scale drawing is 0.315 m².
Define area.The area of a two-dimensional figure is the amount of space it occupies. In other words, it is the number of unit squares covering the surface of a closed figure.The standard area unit is square units, which are commonly represented as square inches, square feet, and so on. Let's go over some examples and practice questions to learn how to calculate the area of various geometric shapes.
The given data:
Base = 6m
Height = 4.2 m
Area = height* base
Area= 4.2*6
Area= 25.2 m²
The scale is 10 cm on the drawing for every 8 m on the sculpture which is 10 cm to 800 cm or 0.1 m to 8 m.
Area of the given sculpture= 25.2 m²
Area of the scale drawing= (25.2 × 0.1)/8
Area of the scale drawing= 0.315 m²
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What are the 3 correct answers?
Answer: A, B and C
Step-by-step explanation:
A rational number is something that can be made with a fraction.
A fraction is a fraction, so A is correct.
A terminating decimal can be made from a fraction, for example 1/2 = 0.5 which is a terminating decimal so B is correct.
A repeating decimal can also be made from a fraction, for example 1/3 = 0.333333... so C is correct.
An imaginary number doesn't actually really exist, so it can't be represented through a fraction.
Anyone please solve this math. Thanks in advance
Answer:
69°
Step-by-step explanation:
Angle AOE = 42° (angles on a line add to 180°)
OE=OA (radii)
Angle OAE = Angle OEA (isosceles triangle)
Angle EAD = 69° (sum of angles in a triangle)
5/6 + 1/2 + 3/4=
Enter your answer in the box as a mixed number in simplest form.
Answer:
2 1/12
Step-by-step explanation:
Which expression is equivalent to √216x²7?
O 6x³
O 6x⁹
O 72x³
O 72x⁹
Answer:
The answer to this question is 72x3
Need help with this math quick. Need to get this done.
1) (m · n)(- 3) = 9
2) (m / n)(x) = x / x, for x ≠ 0
What is the result of two operations between two functions?
Herein we have two operations between two functions of the form n(x) = x: (i) Multiplication, (ii) Division. In the first part we find the case of a multplication between two functions:
(m · n) (x) = m(x) · n(x) (1)
Then,
(m · n) (- 3) = m(- 3) · n(- 3) = (- 3) · (- 3) = (- 3)² = 9
The second part present a case of a division between two functions:
(m / n) (x) = m(x) / n(x) (2)
Then,
(m / n) (x) = m(x) / n(x) = x / x, where x = 0 leads to an indetermination.
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←
Use the number line below, where RS = 9y +5, ST = 3y + 6, and RT = 59.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)
b. Find RS and ST.
RS=
ST=
(Type an integer or a decimal.)
(Type an integer or a decimal.)
S
Answer:
RS = 41 , ST = 18
Step-by-step explanation:
from the number line
RT = RS + ST ( substitute values )
59 = 9y + 5 + 3y + 6
59 = 12y + 11 ( subtract 11 from both sides )
48 = 12y ( divide both sides by 12 )
4 = y
Then
RS = 9y + 5 = 9(4) + 5 = 36 + 5 = 41
ST = 3y + 6 = 3(4) + 6 = 12 + 6 = 18
6
[tex] \frac{6}{7} + \frac{1}{2} [/tex]
Add. Write the answer in simplest form
A camera has a listed price of 649.95 before tax. If the sales tax rate is 6.5% , find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
A percentage is a number or ratio expressed as a fraction of 100. If a camera has a listed price of 649.95 before tax. If the sales tax rate is 6.5% then total cost of the camera with sales tax included is 692.2.
What is percentage?A percentage is a number or ratio expressed as a fraction of 100.
Price before tax is 649.95.
Sales tax is 6.5%, lets convert it to decimal 6.5/100=0.065.
What is the 6.5% of 649.95.We need to multiply 0.065 with 649.95
=649.95*0.065=42.25.
Now lets add 649.95 and sales tax 42.25 to get the total.
=649.95+42.25=692.2
Therefore the total cost of the camera with sales tax included is 692.2.
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Trey wants to buy a bond that will mature to $5000 in nine years. How much should he pay for the bond now if it earns interest at a rate of 2% per year, compounded continuously?
Do not round any intermediate computations, and round your answer to the nearest cent.
The amount that should be invested today is $544.56.
How much should be invested today?
Continous compounding is when the amount invested and the interest that has already been earned increase infinitely over a period of time. Continous compounding means that the value of the investment increases at every moment of the investment period.
The formula that can be used to determine the amount to be invested today is:
A = FV / ( e^r x N)
Where:
A= amount e = 2.7182818N = number of years r = interest rate$5000 / [(2.718^0.02) X 9] = $544.56
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Evaluate the expression if a = -1 b = 4, and c = 6.
-10c + 3a + a
By evaluating this equation we get , -64.
-10c + 3a + a = -10(6) + 3(-1) + (-1)
=- 60 + (-3) + (-1)
= - 60 -3 -1
= -64
Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression). Let's use the equation 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression.
To evaluate an algebraic expression, you must substitute a number for each variable and perform the arithmetic operations.. Since 6 + 6 equals 12, the variable x in the example above is equal to 6.
Hence, the algebraic expression can be expanded and solved as -64.
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If f(x) = |x|, which equation describes the graphed function?
Will mark as brainliest
Answer:
to show. the difference frome each other
A model plane has a scale of 1 in 6 yards if the model plane is 3 in tall then how tall is the real plane
The real plane is 18 yards tall if the model plane is 3 in tall.
What is Scaling ?
A physical model that is geometrically similar to an object is called a scale model (known as the prototype).
Scale models are typically more compact than huge prototypes like cars, structures, or people.
Divide the length by the conversion factor to convert a measurement in inches to a measurement in yards.
Since 36 inches are equivalent to one yard, you may convert using the following straightforward formula:
yards = inches/ 36
Given:
inches / yards =1:6
As we know the model of the plane is 3 inches tall.
Therefore, we can convert the 3 inches to x yards.
[tex]\frac{1inch}{6yards} =\frac{3inches}{x yards}[/tex]
1 /6= 3/x
By cross multiplying the above equation we can get the value of x.
1x= 6×3
x=18
x= 18 yards
The real plane is 18 yards.
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I need help solving the following equation. Please and thank you...
(3x^2+2x+1) - (-3x+x^2+4)
The area of a rectangular parking lot is
7031m?
If the with of the parking lot is 79m,
what is its length?
Answer:
89m
Step-by-step explanation:
Denote:- L = Length, W = Width
Area of a rectangular = L × W
7031m = L × 79m
7031/79m = L
89 = L
Answer:
length = 89
Step-by-step explanation:
Let A represent area
L represent length and
W represent width
A = L.B
7031 = L . 79
7031 = L
79
L = 89
Select all of the following graphs which are one-to-one functions?
The one to one functions in this problem are the third and the sixth graphs.
When does a graph represents an one to one function?A graph represents a function when it has no vertically aligned points, that is, each value of x is mapped to only one value of y.The function is one to one if there are no horizontally aligned points, that is, each value of y is also related to only one value of x.Hence, in this problem, we have that:
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Jennifer gained 3 points in the first round of a game, lost 5
points in the second round and gained 9 points in the third
round. What are her total points?
Answer:
.
Step-by-step explanation:
it would be 7 I believe, if she had 3 to begin with the first round and lost 5 of her points the second round her points would turn to negatives so it'll be -2 the second game round. then lastly, it says she she gained 9 more points so you have to balance out the negative into a positive and -2+9 is 7 :)
Marty can buy lunch for 5 dollars in the cafeteria how many days can he buy lunch with 30 dollars
Hello! First of all, what is 2/3x8/7?
Also, as a side note, I am leaving Brainly...until next summer! I will be dormant until I am released from (redacted) grade. See you next summer, and answer this question!
Answer: if you simplify it it is:
16x/21
Step-by-step explanation:
Answer: 16x/21
Step-by-step explanation: I believe this is the right answer.
Maybe I will answer on of your questions next year.
to rationalize the denominator of 2sqrt12/3sqrt11, you should multiply the expression by what fraction?
When we want to rationalize the denominator of the number 2✓2/ 3✓11 the numbers that should be used for the multiplication will be 3✓11.
How to illustrate the information?It should be noted that rationalizing the denominator is to ensure that it becomes easy to perform a calculation.
It should be noted that based on the information, we want to rationalize the denominator. This will be 2✓2/ 3✓11 multiplied by 3✓11.
Therefore, the appropriate number is 3✓11.
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When testing for independence in a contingency table with 4 rows and 4 columns, there are _____________ degrees of freedom. Select one: a. 6 b. 7 c. 9 d. 5 e. 4
When testing for independence in a contingency table with 4 rows and 4 columns, there are 9 degrees of freedom.
What is Degree of Freedom?
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample.
The degrees of freedom are (r - 1)(c - 1) when evaluating the independence of characteristics in a contingency table with r rows and c columns.
Given, rows = 4
columns = 4
degree of freedom = (r - 1) (c - 1)
= (4 - 1) (4 - 1)
= (3)(3)
= 9
So the degree of freedom contingency table with 4 rows and 4 columns will be 9.
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If 9 x n/5 = 9 divided by n/5, then what does n equal, explain.
Answer: I think 5
Step-by-step explanation: because think about what would equal 9 so 9x1 equals 9 I thought so I did it for the division 5/5 is 1 so 9/1 is 9 so do multiply 5/5 is 1
then 9x1 is 9 so N=5
hope that helps
