Answer: 300cal ≤ y ≤ 1200 cal
Step-by-step explanation:
Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.
"if you eat no fewer than 2 cookies..."
This is written as:
2 ≤ x
This means that x can be equal to 2, or larger than 2.
"...and no more than 8 cookies"
This is written as:
x ≤ 8
This means that x can be smaller than 8 or equal to 8.
If we combine those two, we have:
2 ≤ x ≤ 8
And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:
2*150 cal ≤ y ≤ 8*150 cal
300cal ≤ y ≤ 1200 cal.
I'm very confused, I don't know where to even start! Please help me!!
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
A clothing store is selling T-shirts at 2 for $15. If Michael purchases 8 T-shirts, how much money will he spend?
Answer:
$60
Step-by-step explanation:
2 T-shirts = $15
Longer version
15/2 = $7.50
1 T- shirt = $7.50
7.50*8 = $60
Short version
2 T-shirts = $15
bought 8 so 8/2 = 4
4*15= 60
What is the radian measure of an angle equal to 225 degrees????
Answer:
225° = 5π/4 radians.
Step-by-step explanation:
hope this helps :D
The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Given,
225 degrees.
We need to find the radian measure of 225 degrees.
What is the radian measure of an angle?
We have,
π radian = 180 degree
So,
2π = 360 degrees.
This is the formula for the radian of an angle.
Find the radian measure for 225 degrees.
We have,
π radian = 180 degrees
Multiply 225/180 on both sides by 180.
225/180 x π radian = 225/180 x 180 degrees
1.25 π radian = 225 degrees
or
We can take π = 22/7 = 3.14
225/180 x 3.14 radian = 225 degrees.
3.925 radian = 225 degrees
Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Learn more about the measure of an angle from a radian here:
https://brainly.com/question/8916147
#SPJ2
The bar diagram represents 24 hours in one day and shows a mark at 30%
If you sleep 30% of the day, how many hours do you sleep? Enter your answer in the box
24
Hours slept
Percent
0%
30%
100%
hours
Please help
Answer:
7.2 hours slept
Step-by-step explanation:
30%>.30
.30*24=7.2 hours
Hope this will help!
Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
Answer:
100feet
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
y = 100 feet
Hence the maximum height reached by the object is 100feet
A box in the shape of a rectangular prism measures 2 feet by x feet by 4 feet. Write a simplified expression for the volume (in cubic feet) of the box.
Answer:
8x ft^3
Step-by-step explanation:
Step one:
given
dimension of the box
Length= 2ft
width = x ft
Height= 4 ft
Required;
the expression for the volume of the box
Step two:
We know that the volume is expressed generally as
V=L*W*H
V= 2*x*4
V= 8x ft^3
The expression for the volume is V= 8x ft^3
Determine m∠A, m∠B, and m∠C.
Answer:
huh? I have no clue sorry
Answer:23
Step-by-step explanation:
WHOEVER ANSWERS IT RIGHT WILL GET BRAINST ASAP DUE IN 5 MINUTES
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I checked it an fits right hope this helps!!
Aldo made a shirt using 1/5 meters of yellow fabric and 2/3 meters of red fabric. How many meters of fabric did he use in all? Write your answer as a fraction in simplest form.
Answer:
Aldo's shirt was made of 13/15 meters of fabric.
Step-by-step explanation:
We need to add these fractions. However, in order to do so, we need to find the LCM, which in this case, is 15.
1/5 + 2/3 =
3/15 + 10/15 =
13/15
This fraction is also written in simplest form. Therefore, Aldo's shirt was made of 13/15 meters of fabric.
Hope this helps! :D
A person at a local airport spotted an airplane at an angle of depression of 23° on the tarmac. If the person saw the plane from the airport tower that is 120 ft high, how far away is the plane from the airport tower?
Answer: 282. 7 feets
Step-by-step explanation:
Height = 120 ft
θ = 23°
To obtain the distance (d) of plane from airport tower :
Tan θ = h / d
Tan 23 = 120 / d
0.4244748 * d = 120
d = 120 / 0.4244748
d = 282.70229
d = 282.7 feets
Solve the Equation:
3x-4=10 what is x
Answer:
14
3
Step-by-step explanation:
A third friend offers you a flat $20 to watch his dog during the same time. Tell whether you would choose this job over either of the other two and explain why.
solve for x (log) PLEASE HELP ASAP! thank you!!!! *will give brainliest ofc*
Answer:
( D ) x = 6
Hope this helps !! :)
1 3 Which is the best estimate of 11. 113 2 4? O 4 O 6 o 22 O 33
Answer:22
Step-by-step explanation:
Create a word problem where the answer to the problem is $10.50. Write the equation under.
Answer:
Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents
Step-by-step explanation:
10 + .50 = 10.50
6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
if there were 50 children, how many adults would be at the game? *
Answer:
The total number of adults will be: 120 adults
Step-by-step explanation:
Given that there were 24 adults and 10 children in a game.
Thus, adults to children ration = 24:10 or 24/10
If there were 50 children, how many adults would be at the game?Let 'x' be the number of adults when there 50 children.
so the ration of adults 'x' to 50 childern = x: 50 or x / 50
As the ratio is the same.
Thus,
24 : 10 = x : 50
24/10 = x/50
switching sides
x/50 = 24/10
x = 24/10 × 50
x = 120 adults
Therefore, the total number of adults will be: 120 adults
Whats the answer to #1
Answer:
-8/5 or 1.6
Step-by-step explanation:
if you get the 2 points on the graph and use slope formula you get the answer
Eduardo lives in Argentina and travels to Uruguay for a holiday
(a) His flight from Buenos Aires to Montevideo takes 55 minutes.
The plane departs at 1735.
Write down the arrival time.
Step-by-step explanation:
55 minutes after 1735 is 1830.
Pls help me solve for x ill give 10 points away
Answer:
.53 pounds of dog food each day.
Step-by-step explanation:
Use PEMDAS to solve
In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What are the odds of a yellow marble being selected on the first draw?
A.1:5
B.4:2
C.2:4
D.3:3
20 points
i really need help im way behind and im low on points but i can share my instagram
:D
Answer:
2:4 thats because together there are 6 marbles in total. 3 red and 1 blue = 4. and 2 yellow. 4:2, however, 4:2 is 4/2 in fraction, so that wont make sense. hat means the answer is 2:4 or 2/4.
What is the value of (2)⁶?
Answer:
64
Step-by-step explanation:
2 to the sixth power would be 2 multiplied by itself 6 times
2 pens in each pack of black pens 5 pens in each pack of red pens 6 pens in each pack of green pens On Monday number of packs sold of black, red and green pens = 7 : 3 : 4 A total of 212 were sold.
Answer:
The number of green pens sold is 96.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A shop sells packs of black pens, packs of red pens and packs of green pens. There are:
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.
The explanation of the answer is now given as follows:
Since the ratio is given in packs of pens, we have to first convert it to number of pens based on the number of pens in each pack. Therefore, we have:
7:3:4 is converted to (7 * 2) : (3 * 5) : (4 * 6) = 14 : 15 : 24
Based the new ratio, we have:
Weight of contribution of the green pens to the total number of pens sold = 24 / (14 + 15 + 24) = 24 / 53 = 0.452830188679245
The number of green pens sold can now be calculated as follows:
Number of green pens sold = Total pens sold * Weight of contribution of the green pens to the total number of pens sold = 212 * 0.452830188679245 = 96
Therefore, the number of green pens sold is 96.
A bag contains three green marbles, four blue marbles, and two orange
marbles. If a marble is picked at random, what is the probability that an orange
marble will NOT be picked?
Answer:
7/9
Step-by-step explanation:
There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!
I really need help with this
I think its Igneous Rock but I'm not so sure...
THANKS
Answer:
That is igneous
Step-by-step explanation:
(take 2 bc i messed up) What is √30 simplified
Answer: the square root of 30 is simplified to 5...
Hope this helps! :D
Step-by-step explanation:
Answer:
Square root of 30 simplified is 5
Step-by-step explanation:
Hope this helps! c:
Evaluate x – y if x = 5 and y = -2.
Answer:
7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x - y
x = 5
y = -2
Step 2: Evaluate
Substitute: 5 - -2Simplify: 5 + 2Add: 7What is three hundred forty two thousandths in decimal form?
Answer:
C
Step-by-step explanation:
it says thousandths and a number group with a th at the end is on the right of the decimal.
Answer:
C: 0.342
Step-by-step explanation:
Here's how it works:
.(tenth)(hundredth)(thousandth)
Therefore,
"Three hundred forty-two thousandths" is 0.342.
Maggie says the LCM of 8 and 12 is 24. Her friend Glen says the answer is 4. Who is rigth?
Answer:
Maggie
Step-by-step explanation:
6x+4y=42 -3x+3y=-6 by elimination
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.
x=5
y=2
Answer: (5, 3)
Step-by-step explanation:
Solve by Addition/Elimination
6x + 4y = 42 −3x + 3y = −6
Multiply each equation by the value that makes the coefficients of x opposite.
6x + 4y = 42
(2) ⋅ (−3x + 3y) = (2) (−6)
Simplify (2) ⋅ (−3x + 3y).
6x + 4y = 42
−6x + 6y = (2) (−6)
Multiply 2 by −6. 6x + 4y = 42
−6x + 6y = −12
Add the two equations together to e liminate x from the system.
6x + 4y = 42
±6x + 6y = −12
1 0y= 30
Divide each term in 10y = 30 by 10.
10y = 30
10 10
Cancel the common factor of 10.
y = 30/10
Divide 30 by 10.
y = 3
Substitute the value found for y into one of the original equations, then solve for x.
Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42
Multiply 4 by 3.
6x + 12 = 42
Move all terms not containing x to the right side of the equation.
6x = 30
Divide each term by 6 and simplify.
x = 5
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
I’ll give the Brainliest to who answers the question with and reasonable explanation.
When is the constant of proportionality the same as the unit rate when comparing two quantities?
A. Only when the two quantities are indirectly proportional
B. Only when the two quantities are directly proportional
C. Always
D. Never
Thank you!
Answer:
it's A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Just got it correct