Dev has a monthly food budget of $182. He maps the amount of money,x, he spends each month to the number of food items he buys. What are the constrains on the domain?
Using it's concept, it is found that the domain of the function is [tex]0 \leq x \leq 182[/tex], that is, the constraints are:
x is of at least $0.x is of at most $182.The domain of a function is the set that contains all possible values for the functions.
In this problem, the input of the function is how much he spends on food.
His budget is of $182, hence, considering this and the fact that he cannot spend a negative amount on food, the constraints are that x is between $0 and his budget of $182(inclusive), and the domain is [tex]0 \leq x \leq 182[/tex].To learn more about the domain of functions, you can take a look at https://brainly.com/question/25897115
The domain of a function is the set of input values the function can have.
The constraints on the domain are: the amount (x) is at least $0, and it is at most $182
From the question, Dev's budget on food is given as:
[tex]Budget = \$182[/tex]
This means that, he cannot spend more than $182.
Represent the amount with x.
So, we have:
[tex]x \le 182[/tex]
Also, he cannot spend a negative amount.
So, we have:
[tex]x \ge 0[/tex]
So, the domain is:
[tex]x \ge 0[/tex] and [tex]x \le 182[/tex]
Rewrite as:
[tex]0 \le x[/tex] and [tex]x \le 182[/tex]
Combine both inequalities
[tex]0 \le x \le 182[/tex]
Hence, the constraints on the domain are: the amount (x) is at least $0, and it is at most $182
Read more about domain at:
https://brainly.com/question/10197594
Josie owns 21 books. She buys 6 books every week. Write the recursive sequence to describe how number books she has.
Answer:
a1=21
an=an-1+6
Step-by-step explanation:
Help help help math math math
Answer:
1/4
Step-by-step explanation:
the x decreases by 1 the y decreases by 4
Answer:
-4
Step-by-step explanation:
B(14, 12)
A(-5,-2)
A. Find the midpoint of Segment AB
Help help math math
Answer:
5/1
Step-by-step explanation:
the y is 5units and the x is 1unit
Answer:
7/4
Step-by-step explanation:
Use rise over run to solve
4-(-3) 7
-------- = -
6-2 4
Please help?!! Hurry please!!
Answer:
C. [tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} [/tex]
Explanation:
[tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} \\ = \frac{ {m}^{2} - 2m + m - 2 }{ {(m)}^{2} - {(1)}^{2} } \\ = \frac{ m(m - 2) + 1(m - 2)}{(m - 1)(m + 1)} \\ = \frac{(m + 1)(m - 2)}{(m - 1)(m +1) } \\ = \frac{(m - 2)}{(m - 1)} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Two trucks, A and B, start from the intersection C of two straight roads at the same time. Truck A is traveling twice as fast as truck B, and after 4 hours, the two trucks are 350 miles apart. Find the approximate speed of truck B in miles per hour.
A. 39 B. 51 C. 44 D. 78
Answer:
6
Step-by-step explanation:
Surface area of cone 5ft by 21ft
Answer:
417.63
Step-by-step explanation:
130 is what percent of 70?
Answer:
91%
Step-by-step explanation:
hopes this helps
Answer:
185.71%
Step-by-step explanation:
130 / 70 = 1.857142857
(1.857142857)(100) = 185.71%
If a trench is 102’-6” long by 5’-4” wide and 3’-3” deep, what is the volume of the soil that was removed per cubic feet?
Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.
The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:
The length is of 102' 6''(102 feet and 6 inches), hence [tex]l = 102.5[/tex].The width is of 5' 4'', hence [tex]w = 5.33[/tex].The depth(height) is of 3' 3'', hence [tex]h = 3.25[/tex].Then:
[tex]V = lwh = 102.5(5.33)(3.25) = 1776[/tex]
The volume that was removed is 1776 cubic feet.
To learn more about the volume of rectangular prisms, you can take a look at https://brainly.com/question/17223528
please help ASAP! i have been struggling on this question and need help!
Answer:
841.53
Step-by-step explanation:
equation for annual intrest is
[tex]I*y^x=f[/tex]
where I is your initial amount, y is equal to [tex]1+(interest /100)[/tex]
and x is equal to the amount of years you're looking for, with f being the final balance
so for this questions, the equation is as follows
[tex]600*(1+7/100)^5=f\\600*1.07^5=f\\600*1.40255=f\\841.53=f\\[/tex]
Two same-sized triangular prisms are attached to a rectangular prism as shown below.
If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters
Answer:
answer will be a 1,208 square centimeters
sixty students at gillette road middle school play a winter modified sport. if there are 500 students in the middle school, what percent of students play a sport
Answer:
60/500=0.12
so 12%
Hope This Helps!!!
Identify the digit in the ten thousandths place in every number.
1.) 12.00535
2.)54.01247
3.) 3.98056
4.) 0.00667
5.) 70.70071
6.) 0.07889
7.) 10.00898
Answer:
Step-by-step explanation:
The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.
Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.
Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths
So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.
1) 3
2) 4
3) 5
4) 6
5) 7
6) 8
7) 9
For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.
-6x+6y=9 (1/2,2) please helppppp
Answer:
A. Solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Step-by-step explanation:
*Note:
A coordinate is a solution if both the left side and right side of the equation is equal.
Step 1: Define
Identify.
-6x + 6y = 9
(1/2, 2)
Step 2: Verify
Substitute in variables [Equation]: -6(1/2) + 6(2) = 9[Order of Operations] Evaluate: 9 = 9Since 9 does indeed equal 9, the coordinate (1/2, 2) is a solution.
Leah goes to Buffalo Wild Wings for lunch. Her total bill was $35.50. She wants
to leave a tip that is 18% of the total bill. How much should she leave for the
server? How much did she spend in all?
Answer:
$41.89
Step-by-step explanation:
18% of %35.50 is $6.39.
$6.39+$35.50= $41.89
Answer:
She should leave $6.39 tip for the server. She paid $41.89 in all. Hope this helped! if the answer is wrong im super sorry!
Step-by-step explanation:
0.18 x 35.50 = 6.39
6.39 + 30.50 = 41.89
the length of a rectangly is eight more than twice its width. if the length is less than 34, then what is the width?
Answer:
13
Step-by-step explanation:
I think u mean if the length is 34. If so heres how to work it out.
l = 2w + 8
l = 34.
34 - 8 = 26
26 / 2 = 13.
Width = 13
Answer:
x < 13
Step-by-step explanation:
→ Write an equation for the width
2x
→ Write an equation for the length
8 + 2x
→ Set up an equation
8 + 2x < 34
→ Solve
x < 13
(a) 95% of what is 57?
(b) What number is 35% of 40?
Answer:
a=54.15 and b=14
Step-by-step explanation:
PLS HELP ON GEOMETRY: select all the true statements
Answer:
E
Step-by-step explanation:
2.03 of 0.045 is what number?
Answer:
2.03% of 0.045=0.0009135
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 0.045 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 0.045 is 100%, so we can write it down as 0.045=100%.
4. We know, that x is 2.03% of the output value, so we can write it down as x=2.03%.
5. Now we have two simple equations:
1) 0.045=100%
2) x=2.03%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
0.045/x=100%/2.03%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 2.03% of 0.045
0.045/x=100/2.03
(0.045/x)*x=(100/2.03)*x - we multiply both sides of the equation by x
0.045=49.261083743842*x - we divide both sides of the equation by (49.261083743842) to get x
0.045/49.261083743842=x
0.0009135=x
x=0.0009135
Answer:
0.09135
Step-by-step explanation:
when it says "of" a number, you simply multiply them
A rock is 7 feet below the surface of a river. If its position can be recorded as −7 feet, what would the position of 0 represent? (5 points)
Question 3 options:
1)
On the surface of the river
2)
At the bottom of the river
3)
7 feet above the surface of the river
4)
7 feet below the surface of the river
Answer:
A on the surface of the river
Step-by-step explanation:
100 persent correct
are 6/12 and 12/24 equavilent
Answer:
yes because they're both half of each other
Answer:
Yes
Step-by-step explanation:
One leg of a 45°-45°-90° triangle is 9. Find the lengths of the other sides.
Answer:
9, 9√2
Step-by-step explanation:
The ratios of side lengths in a 45°-45°-90° triangle are ...
1 : 1 : √2
The other leg is the same as the first, and the hypotenuse is √2 times that.
The other sides are 9 and 9√2.
A restaurant tablecloth is 98 inches across. What is the approximate circumference?
The circumference of a circle with diameter of 98 in. is about 308 in.
Step-by-step explanation:We know the diameter. Using the diameter, we can find the circumference.
=> Diameter = 98 in.=> Radius = 98/2=> Radius = 49 in.Circumference = 2πr
=> 2 x 22/7 x 49=> 2 x 22 x 7=> 308 in.Conclusion:Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
If line segment AB represents 25%, what is the length of a line segment that is 100%?
Approximately what portion of the beaker is filled?
A.3/4
B. 1/2
C. 5/9
Answer:
The answer which I think is 3_4
9.
10. Find two numbers such that five times the larger number plus twice the smaller is 70, and four
times the larger minus twice the smaller is 38.
The two numbers are 12 and 5.
Two equations can be derived from this question
5x + 2y = 70 equation 1
4x - 2y = 38 equation 2
Where:
x = larger number
y = smaller number
In order to determine the larger number, the following steps hare to be taken:
Add equation 2 and 1
9x = 108
Divide both sides by 9
x = 108/9
x = 12
In order to determine the smaller number, substitute for x in equation 1
5(12) + 2y = 70
60 + 2y = 70
70 - 60 = 2y
10 = 2y
y = 5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Simplify the linear expression. −4x+5(−5x−1) Enter your answer in the box.
Answer:
-29x - 5
Step-by-step explanation:
-4x - 25x - 5 = -29x - 5
Answer:
- 29x - 5
Step-by-step explanation:
- 4x + 5(- 5x - 1) ← distribute the parenthesis by 5
= - 4x - 25x - 5 ← collect like terms
= - 29x - 5
Quincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?
2 times 1
2 times 2
3 times 1
3 times 2
Answer:
3 times 1
Step-by-step explanation:
2.75 - 75 or in other words 7 is closer to 10 than 0, so well round it up to the next number, 3.
1.25 - 25 or in others words 2 is closer to 0 than 10, so we'll round it down to the nearest lowest whole number, 1.
our new expression: 3 × 1. hope that helps!
help me with this math problem please
Answer:
BC ≅ EF
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent
ABC ≅ DEF
The corresponding sides are BC and EF