Answer:
The correct option is;
C. 3.25 + 5.50·S ≤ 30
Step-by-step explanation:
The given parameters are;
The cost of the chocolate milk ordered = $3.25
The unit quantity of pancake sales = Stack
The number of pancakes in a stack = 4
The amount a stack of four pancakes is sold = $5.50
The number of pancakes Benjamin wants to buy = As many as he can
The number of stacks of pancakes Benjamin buys = S
The cost of the pancakes Benjamin buys = $5.5 × S
The cost of the number of pancakes Benjamin buys
The maximum amount Benjamin wants his bill to amount to = $30
Therefore we have;
The cost of chocolate milk ordered + The cost of pancakes Benjamin buys ≤ $30
Which gives;
$3.25 + $5.50 × S ≤ $30
Therefore, the correct option is 3.25 + 5.50·S ≤ 30.
Video Rental Company A charges a sign up fee of $19.20 and then $4.24 per month to rent as many videos as you want. Video Rental Company B has no sign up fee but charges $10.57 per month for renting an unlimited number of videos. Which system of equations can be used to determine the number of months it takes, x, for the two companies to charge the same amount, y?
Answer:
x = about 3 months and y = about $32.04
Step-by-step explanation:
x = month
y = when the two companies to charge the same amount
Company A
$19.20 + $4.24x = y
Company B
$10.57x = y
10.57x = 19.20 + 4.24x
10.57x-4.24x = 19.20
6.33x = 19.20
x=19.20/6.33
x= 3.03 rounded
So about 3 months
So now we plug in x to get y
10.57 * 3.03 = about $32.03
19.20 + 4.24 * 3.03 = about $32.05
I will average between the two costs which equals $32.04
Hope this helps! :)
please please help i will give brainless!!!
Answer:
8 roses and 12 carnations.
Step-by-step explanation:
For this question, we can use substitution.
r + c = 20, so r = 20 - c.
Substitute this into the second equation, and we get (0.75)(20 - c) + 0.5 c = 12
We can expand, getting 15 - 0.75c + 0.5c = 12.
Combine like terms, and we get 0.25c = 3.
We then solve for c: 12.
Plug this back into the first equation, and we get r = 8.
There are 8 roses and 12 carnations in Denny's bouquet.
Answer:
Denny's bouquet will hold both 16 roses and 16 carnations.
Step-by-step Explanation:
0.75x16= 12
0.5x16= 8
12+8=20
-4+2(-2+5)^2
______________
5-(2-4)^3
Answer:
32/13
Step-by-step explanation:
Please include the instructions when you post a problem.
Let's assume you re to simplify this expression.
We get:
-4+2(-2+5)^2 -4 + 2(3)^2 -4 + 36
__________ = ------------------- = ----------------- = 32/13
5-(2-4)^3 5 - (-2)^3 5 + 8
Convert 3km to mm.
Answer:
3km = 3000000 milimeters = 3000000mm
Step-by-step explanation:
1 km = 1000 meters
1 meter = 1000 milimeters
then:
1km = 1000*1000 = 100000 milimiters = 1000000mm
3km = 3*1000000 = 3000000 milimeters
find perimeter of rectangle if length is 2x+8 width is 5x-2
Answer:
P=(a+b)*2
P=(2x+8+5x-2)*2=(7x+6)*2=14x+12
Step-by-step explanation:
perimeter is the distance round. Add all the algebras
2x+8+5x-2+2x+8+5x-2
{combine the like terms}
P= 14x+12
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg what are the quantities of the two dry fruits separately?
Answer:
Almonds = 400grams
Cashew = 300 grams
Step-by-step explanation:
Let the grams of cashew be represented by = C
the grams of almonds be represented by = A
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel
C + A = 700g ......Equation 1
C = 700 - A
If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg
Let's convert them to grams
1 kg = 1000grams
For almonds
= 288/1000 = 0.288g
For cashew
= 336/1000 = 0.336g
Hence,
0.288 × A + 0.336g × C = ₹216
0.288A + 0.336C = 216
From Equation 1, substitute 700 - A for C in Equation 2
0.288A + 0.336(700 - A) = 216
0.288A + 235.2 - 0.336A = 216
Collect like terms
0.288A - 0.336A = 216 - 235.2
- 0.048A = -19.2
A = -19.2/-0.048
A = 400 grams
Substitute 400g for a in Equation 1
C + A = 700g ......Equation 1
= C + 400g = 700g
C = 700g - 400g
C = 300g
Therefore, the number of grams of Almonds = 400grams
Cashew = 300 grams
A man spends 1/3 of his salary on accomodation and 2/5 of the remainder on food. What fraction is left for other purposes?
Greetings from Brasil...
Let's find the equivalent fractions
A/B ; C/D ⇔ A·D/B·D ; C·B/B·D
Bringing to our problem:
A/B ; C/D ⇔ A·D/B·D ; C·B/B·D
1/3 ; 2/5 ⇔ 1·5/3·5 ; 2·3/3·5 ⇔ 5/15 ; 6/15
Now we can sum/add the equivalent fractions
5/15 + 6/15 = 11/15
11/15 to accomodation and food
15/15 = total
total - (accomodation and food) = other purposes
15/15 - 11/15 = 4/15
So 4/15 its the fraction for other purposes
somebody please help me on this it is for geometry please don’t waste my answers i’ll mark you the brainliest
Answer:
Smallest: XY
Second smallest: YZ
Biggest: XZ
Step-by-step explanation:
First, just observe the triangle,
see which one is the smallest,
if you just look, it would be XY
Next, the second smallest looks like YZ
Lastly, the last side is the largest if you just look at it
I NEED HELP ASAP! What is 3/7 of 35??
Answer:
15
Step-by-step explanation:
you can approach this question with simple math
first you would divide 35 by 7 and you would get 5 then multiply by 3, you will get 15
Answer:
the answer is 15
Step-by-step explanation:
3/7 of 35 means 3/7 x 35
so 3/7 x 7x5
3x5 =15( deleting 7 from numerator and denominator)
ans : 15
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
7
If y varies inversely as the square of x, and Y =
4
when x = 3, find y when x = 5.
63
a. 5
(5)
c. 7
y = y(5)
100
b. 4
d.
1
y(5) =
175
5x
125
Answer:
Step-by-step explanation:
Can u guys PLEASE answer this question ASAP. Two wooden boxes, both with dimensions 80 cm, 1 m and 25 cm, are placed on the ground, one on top of the other as shown. The entire outside surface is then painted. Find the area of the painted surface.
Answer:
34000cm or 340m
Step-by-step explanation:
We have to find total surface area.
dimensions of 1 wooden box =
l = 1m = 100cm
b = 80cm
h = 25cm
∴ In the case of 2 =
l = 100cm
b= 80cm
h = 25 + 25 = 50cm
T.S.A = 2(lb + lh + bh)
= 2(100*80 + 100*50+ 80*50)
= 2(8000+5000+4000)
= 2*17000
= 34000cm
= 340m
What is the translation for this graph ! Help pls
Answer:
right 3 up 4
Step-by-step explanation:
Answer:
x+3, y+4
Step-by-step explanation:
Write an expression to represent:
Eight more than the product of two and a number
x
Answer:
2x+8
Step-by-step explanation:
f(x) = (x + 2)^2 - 16 Enter the solutions from least to greatest.
Answer:
-6,2
Step-by-step explanation:
f(x) = (x + 2)^2 - 16
Set this equal to zero to find the solutions
0 = (x + 2)^2 - 16
Add 16 to each side
16 = (x + 2)^2
Take the square root of each side
±sqrt(16) = sqrt( (x + 2)^2)
±4 = x+2
Subtract 2 from each side
±4 -2 = x+2-2
±4 -2 = x
4-2 = x
-4-2 =x
2, -6
In order from least to greatest
-6,2
Given parallelogram ABCDABCD, diagonals ACAC and BDBD intersect at point E. AE=2x, BE=y+10, CE=x+2AE=2x, BE=y+10, CE=x+2 and DE=4y−8DE=4y−8. Find yy.
Answer:
y = 6
Step-by-step explanation:
Given a parallelogram ABCD with diagonals AC and BD.
Kindly refer to the diagram attached for the given parallelogram.
[tex]AE=2x\\BE=y+10\\CE=x+2\\DE=4y-8[/tex]
To find:
The value of y = ?
Solution:
First of all, let us consider a property of parallelogram and its diagonals.
The intersecting point of diagonals of a parallelogram bisect the diagonals in two equal parts.
Let us consider the given parallelogram ABCD which has its diagonals BD and AC intersecting at point E.
As per the property stated above:
AE = CE and
DE = BE
Putting the values of AE, CE, DE and BE as given in the question statement and solving for [tex]x[/tex] and [tex]y[/tex]:
[tex]2x = x+2\\\Rightarrow \bold{x = 2}[/tex]
and
[tex]y+10=4y-8\\\Rightarrow 4y-y = 10+8\\\Rightarrow 3y=18\\\Rightarrow y =\dfrac{18}{3}\\\Rightarrow \bold{y= 6}[/tex]
So, the answer is:
y = 6
A new backpack at the local store is originally priced $160. It is on sale for 35% off. What is the new sale price?
Answer:
$104
Step-by-step explanation:
10% = 160 ÷ 10 = $16
5% = $16 ÷ 2 = $8
30 % = 16 x 3 = $48
48 + 8 = $56
$160 - $56 = $104
Hope this helps!
a necklace is bought for $34 and sold for $38.25. show that the percentage profit is 12.5%
john receives a day worth of pay, p, for 4 days of newspaper delivery. He spent half of his money on gas. Then he spent 5$ on coffee. He now has 35$ left. How much does John get paid each day for newspaper delivery?
Answer:
Let's assume John gets p for each day so his total is 4p. He spends half of that on gas, (4p)/2 = 2p. He has 2p left. Now subtract 5 from 2p for the coffee, and there is 35 left. So 2p - 5 = 35. Right? Now you can solve for p, by simplifying that equation.
Step-by-step explanation:
Can someone please explain how to solve such a mean and sneaky problem? Please?
Answer:
all real numbers
Step-by-step explanation:
simplify each side of the inequality
26 + 6b -- already fully simplified
2(3b + 4) → 6b + 8
26 + 6b ≥ 6b + 8
subtract 6b from both sides
26 ≥ 8
since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8
Parallel and Perpendicular Line Equations Write the slope-intercept form of an equation of the line that passes through the point (3.2) and is parallel to y = x + 5 yox. 1 X5
I need help asap pls
Answer:
y = x - 1
Step-by-step explanation:
Lines that are parallel have the same slope. The slope of the given equation is 1. This means that the new equation will also have a slope of 1.
Use the point-slope form to find the equation with the given point and slope.
y - y₁ = m(x - x₁)
y - 2 = 1(x - 3)
y - 2 = x - 3
(y - 2) + 2 = (x - 3) + 2
y = x - 1
What does "nth term" mean?
Answer:
Step-by-step explanation:
nth term means an expression which allows us to find the term that is in the nth position in the sequence.
Hope this helps
plz mark as brainliest!!!!!!!!!
Solve for S. 3.25 + 5.50s is less than or equal to 30
Answer:
less than
Step-by-step explanation:
Which points are reflections of each other across both axes?
(–2, 8) and (2, –8)
(–7, –1) and (–7, 1)
(5, –6) and (–5, –6)
(4, –3) and (–3, 4)
Answer:
Hey there!
When reflecting across both axis, we switch up the signs but keep the order of the coordinates.
Thus, (-2, 8) and (2, -8) are reflections and (4, -3) and (-3, 4) are also reflections.
Let me know if this helps :)
Help plz i need help
Answer:
A
Step-by-step explanation:
measured angle CBE is equivalent to measured angle HBF
Simplify the equation: 2x - 3 > 2(x+9)
Answer:
no solution
Step-by-step explanation:
2x - 3 > 2(x+9)
Distribute
2x-3 > 2x+18
Add 3 to each side
2x-3+3 > 2x+18+3
2x> 2x+21
Subtract 2x from each side
2x-2x> 2x-2x+21
0 > 21
This is never true so there is no solution
Answer:
See below.
Step-by-step explanation:
So we have the inequality:
[tex]2x-3>2(x+9)[/tex]
First, distribute the right side:
[tex]2x-3>2x+18[/tex]
Subtract both sides by 2x. Both the left and right cancels:
[tex](2x-3)-2x>(2x+18)-2x\\-3>18[/tex]
-3 is not greater than 18. Therefore, the inequality is never true.
The formula for the surface area of a cylinder is 2pi r(r+h) where rrr is the radius of the cylinder's base and h is its height. A certain pole has a cylinder-like shape, where the base's radius is 10centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?
Answer:
4200πcm²Step-by-step explanation:
Given the formula for the surface area of a cylinder as S = 2πr(r+h) where r is the radius of the cylinder's base and h is its height.
Given parameters
base radius of the cylindrical pole = 10 cm
Height of the cylindrical pole = 2 m
Since 100 cm = 1 m, then 2 m = 200 cm
Height of the cylindrical pole (in cm) = 200 cm
Required
Surface area of the pole (in cm²)
Using the formula for finding the surface area of a cylinder as shown above;
[tex]S = 2\pi r(r+h)\\\\S = 2\pi (10)(10+200)\\\\S = 2\pi 10(210)\\\\S = 2\pi * 2100\\\\S = 4200\pi cm^2[/tex]
Hence the surface area of the pole in square centimetres is 4200πcm²
Find the area of the shaded regions of the following figures. Will Give Brainliest!! Answer ASAP
Answer:
Rectangle 1 area: 53 units squared
Shape 2 area: 43.75 units squared
Step-by-step explanation:
Shape 1:
We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.
Total area of the rectangle:
13 * 5 = 65
Area of triangles (they are congruent):
1/2 * 4 * 3 = 6
6 * 2 = 12
65 - 12 = 53
The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)
Shape 2:
First, let's find the area of the parallelogram at the top.
10 * 3 = 30
Now, let's find the area of the rest of the shape. Triangle first...
1/2 * 4 * 1.5 = 3
Now, the rectangle and the tiny triangle we can section out at the end:
7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75
Total area: 10.75 + 3 + 30 = 43.75
I don’t understand 12 and 13 at all pls help me out
Answer:
[tex]\Large \boxed{\mathrm{12. \ 54}}[/tex]
[tex]\Large \boxed{\mathrm{13. \ -7.6}}[/tex]
Step-by-step explanation:
|54|
Solve for absolute value.
Apply rule : |a| = a
|54| = 54
-|-7.6|
Apply rule : |-a| = a
-|-7.6| = -7.6
Answer:
12: 54 and 13: -7.6
Step-by-step explanation:
The absolute value of a number is basically the distance it is from 0. For example, |1| = 1. There is a "rule" for absolute value, if a number x ≥ 0, then |x| = x but if x < 0, then |x| = -x. This is because absolute value is always positive, and if a number is negative, all you have to do to make it positive is multiply it by -1. Therefore, the answer for 12 is 54 since x > 0 in this case. To find the answer to 13, we know that |-7.6| = -(-7.6) = 7.6. -(7.6) = -7.6.
Find the exact value of tan A in simplest radical form.
Answer:
60/11
Step-by-step explanation:
tan A = 60/11
Answer:
tan A = 60/11
A boat sails on a bearing of 73 degrees for 128 miles and then turns and sails 209 miles on a bearing of 190 degrees. Find the distance of the boat from its starting point.
Answer:
189.14 miles.
Step-by-step explanation:
This is a vector problem.
A boat sails on a bearing of 73°. This means it is going north, forming a 90° triangle.
The sum of angles in a triangle = 180°
We need to find the third angle.
180° = 90° + 73° + x°
x° = 180° - (90 + 73) °
x = 180° - 163°
x = 17°
The boat then turns and sails 209 miles on a bearing of 190 degrees.
Since it is sailing 190°, it is sailing more than 180°
= 190° - 180° = 10°
This would lead to the formation of another triangle let us call it ABC
Hence, we would have:
90° - ( 10 + 17)°
90° - 27° = 63°
To find the distance of the boat, we would use Cosine rule.
a² = b² + c² - 2bc × Cos A
a = √(b² + c² - 2bc × Cos A
b = 128 miles
c = 209 miles
A = 63°
a = √(128² + 209² -2 × 128 × 209 × Cos 63°)
a = 189.14199miles
Approximately 189.14 miles.
Therefore, the distance of the boat from it's starting point is 189.14 miles.