Answer: 3.25 + 5.50s ≤ 30
Step-by-step explanation:
The following information can be gotten from the question.
Cost of chocolate milk = $3.25
Cost of stack pancake = $5.50
Maximum amount to be spent by Benjamin = $30
Number of stacks of pancakes to be bought = s
First, we need to calculate the stacks of pancakes that Benjamin can buy. This will be:
= $5.50 × s
= 5.50s
Therefore, the total money that Benjamin will spend will be:
= 3.25 + 5.50s
Since he wants to be able to be at most $30 before tax, the inequality can be written as:
= 3.25 + 5.50s ≤ 30
The smallest exterior angle of a polygon is 40degrees the largest exterior angle is 80 degrees a) what is the smallest possible number of sides b) what is the largest possible number of sides
Answer:
a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides
b) The largest possible number of sides of the polygon is a regular polygon with 9 sides
Step-by-step explanation:
a) The smallest exterior angle of the polygon = 40°
The largest exterior angle of the polygon = 80°
Therefore, we have the interior angles are;
The smallest interior angle of the polygon = 180° - 40° = 140°
The largest interior angle of the polygon = 180° - 80° = 100°
Therefore, we have
The interior angles of a regular polygon are given by the following formula;
[tex]Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
For an interior angle of 100°, we have;
[tex]100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
100/180 × n = n - 2
2 = n - 100/180 × n = 4/9·n
2 = 4/9·n
n = 18/4 = 4.5
Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides
b) For 140°, we have;
[tex]140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
140/180 × n = n - 2
2 = n - 140/180 × n = 2/9·n
2 = 2/9·n
n = 18/2 = 9
n = 9 sides
Therefore, the largest possible number of sides = 9 Sides.
How to use distributive property to find 12 + 20 ?
Answer:
The distributive property states that
a*(b + c) = a*b + a*c
You can use the distributive property in reverse to factor out a common factor from the sum of 2 numbers. If you realize that 12 = 4*3 and 20 = 4*5 then you can write
12 + 20 = 4*3 + 4*5 = 4*(3 + 5)
someone please help
What is the solution to the system of equations below?
4x + 8y = 24
12y = 4x - 30
Answer:
(33/5 , -3/10)
Step-by-step explanation:
Complete the table. Write each as a fraction, decimal, and percent. Fraction Decimal Percent 3% % 1.5 1% 13 20 2. 3 %
Answer:
Step-by-step explanation:
3% in a decimal is 0.03.
HELP ASAP I HAVE TO GET IT DONE!!
Solve for x in the diagram below
20 POINTS!!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
Answer: your answer is 400 yd's and please pick me for brainliest
Step-by-step explanation:
40 × 10 = 400
9514 1404 393
Answer:
6x^2 +64x yd²
Step-by-step explanation:
The total horizontal width is ...
w = (x -2) +(3x) = 4x -2 . . . yards
So, the width of the downward-extending leg at right is ...
(4x -2) -(2x -2) = 2x
The total vertical height is ...
10 yds + 40 yds = 50 yds
So, the height of the downward-extending leg at right is ...
50 -3x . . . yards
__
Then the empty rectangle at upper right has an area of ...
A = LW = (3x yds)(10 yds) = 30x yd²
and the empty rectangle at lower left has an area of ...
A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²
__
The total area is the product of overall width and overall height, less the areas of the two empty rectangles:
A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²
A = 6x^2 +64x yd² . . . . . area of the proposed parking lot
What is the measure of ZSTR?
O 24°
O 38°
48°
O 76°
Answer:
24 degrees
Step-by-step explanation:
24 is 1/2 of 48
12 1/2 of 32=
please answer
Answer:
400
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
Write the phrase as an algebraic
expression:
a. Seven times the difference of two and a
number
b. Six less than h
The triangle and the trapezoid share a 15-inch base and a height of 10 inches. A. The area of the trapezoid is less than twice the area of the triangle. Find the values of x. Explain your reasoning.
Answer:
Possible values of x are whole numbers that are lesser than 15 inches
Step-by-step explanation:
We are given;
Base; b = 15 inches
Height; h = 10 inches
Formula for area of triangle is;
A_tria = ½bh
A_tria = ½ × 15 × 10
A_tria = 75 Sq.in
Now, formula for trapezoid is;
A_trapez = ½(a + b)h
Where a is the side parallel to the base.
We are told that the area of the trapezoid is less than twice the area of the triangle.
Thus;
½(a + 15)10 < 2(75)
Simplifying;
5(a + 15) < 150
Divide both sides by 5 to get;
a + 15 < 150/5
a + 15 < 30
Subtract 15 from both sides to get;
a < 30 - 15
a < 15
Possible values of x are whole numbers that are lesser than 15 inches
a vehicle rental company charges $25 to rent a moving van plus $50 for each mile traveled . which equation represents the total cost of renting a van if you spend a total of $35 and drive , d mile
Answer:
25+d(0.50)
Step-by-step explanation:
It costs 25 dollars to rent a vehical but its 50 cents per each mile.
please help
Hello,
I will mark brainliest to the one who answers
my question right and who does not copy what
someone else answered No cussing and
or Inappropriate words to get marked brainliest
Thanks,
brownarietta8
P.s please tell me if my screen looks pink
Answer:
1. subtract 9 from z- z-9
2. add 9 and z - z+9
3. divide 9 by z - 9/z
4. multiply 9 by z - 9z
Step-by-step explanation:
Your welcome!
Brainliest Appreciated!
Answer:
Subtract 9 from z z-9
Add 9 and z 9+ z
divide 9 by z 9/z
multiply 9 by z 9z
P.S you screen is not pink
Step-by-step explanation:
3(x + 1) = -2(x - 1) - 4
Answer:
x = -1Step-by-step explanation:
1. Distribute
3x + 3 = -2x + 2 - 4
2. Simplify
-2x + 2 - 4
2-4 = -2
-2x - 2
3. Solve
3x + 3 = -2x - 2
+2x +2x
4. Cont. Solving
5x + 3 = -2
-3 -3
5x = -5
5. Divide by 5
5x = -5
/5 /5
x = -1Hope this helped,
Kavitha Banarjee
After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?
Answer:
20
Step-by-step explanation:
hello just grinding
If (x-9) is a factor of 2x^2 - 19x + k, what is the value of k?
Answer:
18
Step-by-step explanation:
PLEASE ANSWER FAST !!!!!!!!!!!!!!
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
y = 3 over 2x + 5
y = 2 over 3x + 5
y = 3x + 2
y = 2 over 3x + 2
Answer:
B. [tex]y = \frac{2}{3} x + 5[/tex]
Step-by-step explanation:
Let's use the slope equation first. The slope equation is as follows:
[tex]\frac{y2-y1}{x2-x1} = slope[/tex]
This is what is given in the equation:
Point (3,7)Point (6,9)Let's label each component of the equation using these points:
y2 = 9
y1 = 7
x2 = 6
x1 = 3
Now, plug these into the equation
[tex]\frac{9-7}{6-3} = \frac{2}{3}[/tex]
We can now eliminate A and C of the answer choices.
Now let's find the y intercept
Right now we have the following equation
[tex]y = \frac{2}{3} x+ (y intercept)[/tex]
In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).
The equation should look like this now:
[tex]7 = \frac{2}{3}(3) + (yintercept)[/tex]
Now lets solve for the y-intercept
[tex]7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept[/tex]
Now that we found the y-intercept is 5 we have our full equation!
[tex]y = \frac{2}{3} x + 5[/tex]
Hope this helps!!
- Kay
so far, Jim has burned 5.22 calories. He wants to burn a total of 600 calories. how many more calories must jim burn?
Answer:
594.78
Step-by-step explanation:
600-5.22 = 594.78
Answer:The answer should be 626.4
Step-by-step explanation:
if 8 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
Step-by-step explanation:
8 litres of petrol cover's =60km
For 1km petrol required=8/60 litre
For 50 km petrol required=8x50/60 litre
=6.66 litre is the answer
Please help with the question in the photo above please!!!
Answer: -5
Step-by-step explanation:
Answer:
-5 is the correct answer
What is the remainder when 4x3+8x−32 is divided by x+10?
Factor −3 out of −27a−12.
Answer:
-3(9a + 4)
Step-by-step explanation:
Factor −3 out of −27a−12.... basically divide each term by -3
-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)
A speedly biker can travel 5 km per t hours.which of the following expression best illustrates the situation?
Answer:
Sorry this does not make sense
Have a good thanksgiving
Find the measure of angle
Angle 1 is congruent to Angle 2
Answer:
angle 1 = angle 2 = 17 degrees
The equation below represents how much money Addy makes delivering papers. In the equation p represents the number of papers delivered and d represents the money per paper delivered. D = .45p Create a context, a unit rate, and an equation for someone who delivers papers and makes more than both Addy and Rachel.
Step-by-step explanation:
Step one:
we are given the equation for Addy And Rachel's earning as
[tex]D =0.45p[/tex]-------------1
Step two:
Context creation
Say john earns $0.9 per paper he delivers, estimate how much he would earn to deliver 10 papers
let the amount earn be y and the number of papers delivered be x
the equation is
y=0.9x
for x=10
y=0.9(10)
y=$9
We can see that John's unit rate is more than Addy's unit rate
In a survey, a group of students were asked their favorite sport. Eighteen students chose “other” sports.
Answer:
22.5% Hope this helps
Step-by-step explanation:
Answer:
22.5%
Step-by-step explanation:
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)
Answer:
Step-by-step explanation:
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)
Answer:
Functions! Nice.
Step-by-step explanation:
This is a pretty simple concept.
What it wants you to do is to input those values inside the parentheses(9 or -2) into those equations for x. Then, you will have to add those values that you get.
If you didn't understand, watch and learn!
[tex]for x=9\\f(9)=-5(9)-14\\f(9)=-59\\[/tex]
Now try to do that for the second equation, but this time, have x as -2.
(I also can't solve the last one because I can't make sense of the equation. What is 02?)
Stay Safe!
P.S. When you find the answer to that second one, just add it to the first answer, and you'll get the final answer.
Which equation or inequality represents the following description:
A number times six is greater than five times the number plus one.
A. 6x < 5x + 1
B. 6x = 5x + 1
C. 6x > 5x + 1
D. 6x > 5x + 1
Answer:
6x > 5x + 1
Step-by-step explanation:
6 times a number is 6x
is greater than is 6x >
than five time the number is 5x
plus one is 5x +1
all together it is 6x > 5x + 1
Answer: just to give person above brainliest.
Step-by-step explanation:
Use inductive reasoning to predict the next line in this sequence of computations. Then use
a calculator or perform the arithmetic by hand to determine whether your conjecture is
correct.
9.3+5 = 32
99.3 + 5 = 302
999. 3+5 = 3002
9999.3+5 = 30002
Make a conjecture by predicting the correct numbers in the line below.
0-3+5 -0
Is the conjecture correct?
O A. Yes
OB. No
Answer and explanation:
Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.
B. The conjecture 0-3+5 -0 is incorrect
Given the above sequence of computations, we use inductive reasoning to predict the next computation
The correct next conjecture is
99999.3+5= 300002
What is the result of adding these two equations?
4x-4y=-2
-9x-4y=-3
Given
f
(
x
)
=
1
2
(
8
−
x
)
, what is the value of
f
(
−
10
)
?
Answer:
3 Tell me if this help you