Answer:
The simultaneous inequation representing the recomended storage temperature is:
[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]
Step-by-step explanation:
In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.
Bounds can be converted into Fahrenheit degrees from Celsius degrees:
[tex]T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F[/tex] (Eq. 1)
Where:
[tex]T_{C}[/tex] - Temperature, measured in Celsius degrees.
[tex]T_{F}[/tex] - Temperature, measured in Fahrenheit degrees.
Lower bound ([tex]T_{C} = 10\,^{\circ}C[/tex])
[tex]T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F[/tex]
[tex]T_{F} = 50\,^{\circ}F[/tex]
Upper bound ([tex]T_{C} = 13\,^{\circ}C[/tex])
[tex]T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F[/tex]
[tex]T_{F} = 55.4\,^{\circ}F[/tex]
The simultaneous inequation representing the recomended storage temperature is:
[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]
A truck can be rented from Company A for $130 a day plus $0.40 per mile. Company B charges $70 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
You have to use the equation 130+.40x and 70+.60x just replace x with any number, but the answer to each equation must be the same.
Step-by-step explanation:
Answer:300 miles
Step-by-step explanation:
130+.4m=70+.6m
130=70+.2m
60=.2m
300=m
Determine the effective annual yield for each investment.
Then select the better investment. Assume 360 days in a year.
A. 9% compounded monthly
B. 9.25% compounded annually
Given m || n, find the value of x and y.
(3x-4)
(6x-5)
Answer:
X=21 and Y=121
Step-by-step explanation:
With these types of problems, we need to know our vertical angles and that lines are 180° when two angles on a line are next to each other.
To solve this problem algebraically we want to add (3x-4) and (6x-5) together so that they equal 180. The reason we do this is that they lie on the same line which is 180°. The equation would look like [tex]3x+6x-5-4=180[/tex]. We then want to add like terms which will leave us with [tex]9x-9=180[/tex]. Now we want to get 9x by itself by adding 9 on each side which leaves us with [tex]9x=189[/tex]. To isolate x we need to divide on each side by 9 which finally leaves us with [tex]x=21[/tex]
Now that we have the value of x (21) we can now utilize our knowledge of vertical angles (angles that are completely across and equal to one another.) We can find y by doing this equation: [tex]y=6x-5[/tex] and with the value of x found we can plug in the value to get [tex]y=6(21)-5[/tex] which simplifies to [tex]y=126-5[/tex] then to [tex]y=121[/tex].
-9y+7=24y-4. Solve for y.
Answer:
y=1/3
Step-by-step explanation:
-9+7=24y-4
7=33y-4
11=33y
y=1/3
=2 2/5 x 4 (What is the answer?)
Answer:
um 22 /20
is the question
if it's the case of factorised
than answer is 11/10
Answer:
48/5
Step-by-step explanation:
I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].
This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]
What is the slope of the line whose equation is 5x+2y=10 ?
A. 2/5 C. -2/5
B. 5/2 D. -5/2
Please Help!!
Answer:
D
Step-by-step explanation:
You can rewrite the equation into slope intercept form and you get Y=10-5x/2 (The whole problem is being divided by 2).
You can leave -5/2 as it is because it's a lot easier to plot the point using Rise over Run or Rise/Run.
Hope this helps! :)
Work out 2 1/3 divided by 1/4
Answer:
9.3333333
Step-by-step explanation:
Answer:
[tex] \frac{9}{4} \div \frac{1}{4}
\frac{9}{4} \times \frac{4}{1}
= \frac{34}{4} \\ \\ \\ \\ = 9[/tex]
How do we explain the Riemann sum process that leads to the definite integral that computes arc length?
Step-by-step explanation:
Consider two points on a curve, (xᵢ, yᵢ) and (xᵢ₊₁, yᵢ₊₁). The distance between them can be found with distance formula:
d = √((xᵢ₊₁ − xᵢ)² + (yᵢ₊₁ − yᵢ)²)
d = √((Δx)² + (Δy)²)
Factor out Δx:
d = √(1 + (Δy/Δx)²) Δx
Adding up the distances from i=1 to i=n, the total arc length can be approximated as:
s ≈ ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx
Taking the limit as n approaches infinity, we get the exact value of s:
s = lim(n→∞) ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx
Which can be written as a definite integral:
s = ∫ₐᵇ √(1 + (dy/dx)²) dx
Find the percent of increase from 8 to 10 feet
Answer:
25%
Step-by-step explanation:
[tex]percentage \: increase \\= \frac{10 - 8}{8} \times 100 \\ \\ = \frac{2}{8} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25 \%[/tex]
The increase in height from 8 to 10 feet is 25%. To calculate a percentage, divide the value by the total value and multiply the result by 100.
How to calculate percentage?To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage. Divide the number you want to convert to a percentage by the total. In this case, divide 2 by 5. 2 divided by 5 equals 0.4. Then, multiply 0.4 by 100 to get 40, or 40%.Divide one number by the other and multiply the result by 100 to find the percentage of a number between two numbers. To calculate the percentage, divide the value by the total value and multiply the result by 100.Therefore,
percentage increase
= (10 - 8) / 8 × 100
= 2/8 × 100
= 1/4 × 100
= 25%
Hence, The increase in height from 8 to 10 feet is 25%.
To learn more about percentage, refer to:
https://brainly.com/question/24877689
#SPJ2
Rewrite 1/5 barrel 1/2hour as a unit rate
Answer:5/8
Step-by-step explanation:i took the exam
Help! I’ll mark you brainly and give extra points!!
Its in the file.
Hope it helps ;)
Julie recently drove to visit her parents who live 567 miles away. On her way there her average speed was 16 miles per hour faster than on her way home (she ran into some bad weather). If Julie spent a total of 18 hours driving, find the two rates.
Answer:
Was there some missing information as if you do 16*18 you get 288 miles
Step-by-step explanation:
point slope form problem
Answer:
y+9=1/5(x+4)
Step-by-step explanation:
plug into the formula
6 divided by 938 long division
How many meters are equivalent to 2 miles?
Units of Length
O 1.242 meters
O 3.22 meters
Customary System
Units
Metric System Units
O 1,242 meters
O 3,220 meters
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
Answer: D 3,220 meters
Step-by-step explanation:
I did it
Answer:
The correct answer is D, please give the person above me brainliest
Step-by-step explanation:
#edge2020
On field trips there must be 2 chaperones for every 15 students which ratio correctly express the ratio of students
Answer:
15:2 or 15 to 2
Step-by-step explanation:
They are asking for a ratio based on how many chaperones per student (in this case 15 students) In other words 15 students for every 2 chaperones.
What is | -8|
—16
-8
8
16
Answer:
8
Step-by-step explanation:
scince it has the lines that mean that it will always be positive.
Answer:
8
Step-by-step explanation:
Have a nice day!
What are the measures of each interior and exterior angles of regular quadrilateral MNOP?
Answer:
A regular polygon is a polygon that is equilateral and equiangular.
The only regular quadrilateral is the square.
We know that all the interior angles of a square are 90° each, so we are fine with that.
Now, for the exterior angles.
If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.
Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:
this is:
360° - 90° = 270°
Below is an image as a guide of this.
Due today please help
And also explain
Answer:
Step-by-step explanation:
15 points PLEASE HELP
Kirk earns $27.50 an hour and he worked 80 hours this pay period. His deductions are $396 for taxes. $264 for insurance, and $175 for retirement What is
his net pay for this pay period?
Answer:
27.50(80) is 2,200
2,200-396-175-264= 1,365
I think this is how u do it correct me if I'm wrong
What is the discriminant of the equation 3x^2-4=2x
Given equation : 3x² - 4 = 2x
We have to find discriminant of the equation [tex].[/tex]
⭆ 3x² - 4 = 2x
⭆ 3x² - 2x - 4 = 0
By comparing this equation with ax²+bx+c, we get
a = 3b = -2c = -4Discriminant (D) = b² - 4ac
⭆ D = (-2)² - 4(3)(-4)
⭆ D = 4 + 48
⭆ D = 52
Hope It Helps!Please help answer this question!:)
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The first step I would do is to subtract the 2x from both sides so the answer is choice D.
If jimmy has 3 billion dollars and subtracts a dollar how much does he have
Answer:
2,999,999
Step-by-step explanation:
2,999,999
Step-by-step explanation:
dont need a explanation its obvious
The Perimeter of a triangle is 90 cm. The triangle has side lengths of 2x + 5, 4x - 10, and x + 4. Find the value of x and the length of each side.
Answer:
I don't understand oof oof
Step-by-step explanation:
What is the solution of log (2 t + 4) = log (14 minus 3 t)?
A. -18
B. -2
C. 2
D. 10
Answer:
-2
Step-by-step explanation:
Use the distributive property to remove the parentheses -9(-4x+3w-1)
Answer:
36x - 27w + 9
Explanation:
Multiply the outside by everything on the inside
Answer:36x-27w+9
Step-by-step explanation:
A negative times a negative is positive and a negative times a positive is negative so you take -9 and times it by each number. -4x, 3w,-1 Keep it in the same order
2.) Bill sells cleaning products on commission. He earns 40% commission on his sales. If
he has sales of $983, how much commission does he earn?
Answer:
$393.20
Step-by-step explanation:
There are two easy ways to solve this:
1) Use a setup and cross multiply.
First, set up your problem.
$ x = 40%
$983 100%
$983 is the total amount, so it is equal to 100%. We're trying to find 40% of it, so we can label the amount as $x. Remember, each side has to be in the same type of measurements (i.e. dollars, percentages, inches, etc.).
Then, cross multiply. You should end up with:
100x = 39,320
Then, simplify.
x = 393.2
x = $393.20
2) Convert the percentage to a decimal and multiply.
First, convert the percentage you're looking for into a decimal:
40% × 100 = 0.4
Then, multiply the decimal with the total sales amount:
$983 × 0.4 = 393.2
= $393.20
40% × 100 = 0.4
$983 × 0.4 = $393.20
Bill earns $393.20 commission total.
What does v equal? ;-;
Answer:
v=-3
Step-by-step explanation:
-1=1/3v
-1*3=v
-3=v
Answer:
Step-by-step explanation:
[tex]-1 = \frac{1}{3} v[/tex]
Multiply by 3
[tex]-3 = v[/tex]
What is the difference between -82°F and 93°F?
Answer:
175°F
Step-by-step explanation:
The difference between -82 and 0 is 82.
The difference between 0 and 93 is 93.
Add these two numbers together to find the total difference:
82 + 93
= 175
So, the difference is 175°F
Find the missing measure.
51°
x
Answer: It's 129°
Step-by-step explanation: Because we know x and 51 are supplementary angles (add up to 180), We can do x + 51 = 180, to figure out that x is equal to 129°.
Hope this helps :)
