A grocery store sells 6 bottles of water for $4 and 18 bottles for $10. Is the cost of the water proportional to the number sold?
Proportional
Nonproportional
Answer:
Non Proportional
Step-by-step explanation:
Make a proportion:
For example say you want to test out how many bottles of water you can buy for $10
Proportion:
4 - 6
10 - ?
Solve: 10×6÷4=15
So technically, you could only get 15 bottles for $10. Therefore, this is a non proportional problem.
A bike is on sale for 45% off of the regular price. If the sale price is $299.75, what was the original price?
Answer:
the original price is 545$
Step-by-step explanation:
299.75$ : 55$ = x : 100
55x = 299.75 x 100
55x : 29975
divide 29975 by 55 =
545
The average person in the United States drinks 767 cups of coffee annually. How many quarts of coffee is that? Show your work. ( do not comment if you do not know or I will report )
Answer: 191.75 quarts.
Step-by-step explanation:
We know that:
1 quart = 4 cups.
Then:
1 cup = 1/4 quarts.
this means that 1 cup, is equal to 1/4 quarts.
Then 767 cups is equal to 767 times 1/4 quarts.
The change of units is simply:
767 cups = 767*( 1/4 quarts) = 191.75 quarts.
please help! show all steps
Answer:
Tn = 8n - 2
Step-by-step explanation:
Given the arithmetic sequence
6, 14, 22, 30, 38
The nth term is expressed as;
Tn = a +(n-1)d
a is the first term = 6
d is the common difference = 14 - 6 = 22 - 14 = 8
Substitute into the formula;
Tn = 6 + (n-1)(8)
Tn = 6 + 8n-8
Tn = 8n - 2
Hence the nth term of the sequence is 8n-2
Find the measure of angle B
Answer:
15 - 86
16 - 115
17 - 60
18 - 74
Step-by-step explanation:
Factor: y = x^7 + 65x^4 + 64x
Answer:
y=x^7+65x^4+64xu200b
Step-by-step explanation:
The Furry Friends Hotel, a kennel in Sparrowtown, needs to bring in at least $1,100 per day to cover its operating costs. The kennel charges $26 per day to house a large dog and $23
per day to house a small dog.
write an inequality to represent the situation
Answer:
23x >= 1100
Step-by-step explanation:
*PLEASE ANSWER!!! QUICK*
Which equation has 12 as the solution?
a.) 4x + 2 = 2x + 10
b.) -5 + 2x = 4x - 13
c.) 6x – 7 + 3 = 32 + 3x
Answer: C
Step-by-step explanation:
6x-7+3 = 32+3x> 6x - 4 = 32+ 3x > 3x = 36 > x = 12
what is the measure of <A in the triangle below
Answer:
∠A = 62°
Step-by-step explanation:
∠ACB = 180 - 116 = 64°
∠A + ∠B + ∠C = 180°
(3x - 13) + (2x + 4) + 64 = 180°
3x + 2x - 13 + 4 + 64 = 180°
5x + 55 = 180°
5x = 180 - 55
5x = 125
x = 125/5
x = 25
∠A = 3x - 13
∠A = 3(25) - 13
∠A = 75 - 13
∠A = 62°
The answers too them
Answer:
$324.37
Step-by-step explanation:
First question already answered in other post.
Second Question:
Original price before discount and tax: $354
Discount: 15%
100% - 15% = 85% = 0.85
0.85 * $354 = $300.90
Tax: 7.8%
100% + 7.8% = 107.8% = 1.078
1.078 * $300.90 = $323.37
Answer: $324.37
The value of y varies directly with x. If x = 5 when y = 12, what is the value of x when y = 30?
Answer:
12
Step-by-step explanation:
12/5 = 2.4
2.4(x)
if x = 5 then,
2.4(5) = 12
Answer:
12.5 or 25/2
Step-by-step explanation:
you do 30/12 get 2.5 then do 2.5 times 5 to get 12.5 or 25/2
A grocery store sells a bag of 3 oranges for $2.61. What is the cost of oranges, in
Ullars
per orange?
Answer:
.45
Step-by-step explanation:
Help plssss! What is the volume of this composite solid?
Answer:
B.
(づ￣ ³￣)づHave A nice day Cute Sir
Answer:
Step-by-step explanation:
160
Can someone help me with this? Please n thank u
Answer:
1. 15°
2.64°
3. 50°
4.38°
Step-by-step explanation:
Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answer:
3.25
Step-by-step explanation:
4 1/5 x 5/14 in its simplest form
Answer:
1.5 as fraction it is 3/2 in simplest form
Step-by-step explanation:
The simplest form of the expression given is 3/2
What is an expression?A mathematical statement containing variables, numbers and connected by a mathematical operator is called an expression.
Given that, an expression [tex]4\frac{1}{5}[/tex] × [tex]\frac{5}{14}[/tex]
We are asked to simplify them,
[tex]4\frac{1}{5}[/tex] × [tex]\frac{5}{14}[/tex]
= 21 / 5 × 5 / 14
= 21 / 14
= 3/2
Hence, the simplest form of the expression given is 3/2
Learn more about expressions, click;
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Factorise fully
70
+ 7z
Answer:
7(z+10)
Step-by-step explanation:
it is factored fully now
300g of bananas cost £1.80. how much does 1kg cost?
Answer:
£6
Step-by-step explanation:
300 g = .3 kg
We can use ratios to solve
.3 kg 1 kg
------------- = -----------
1.8 x
Using cross products
.3x = 1 * 1.8
.3x = 1.8
Divide each side by .3
.3x/.3 = 1.8/.3
x =6
You have two identical boxes which an interior dimensions of 8.0x8.0x8.0. You completely fill one of the boxes with wooden spheres that are 1.6 in diameter. The other box gets filled with wooden cubes that are 1.6 cm on each edge. After putting the lid on the filled boxes, you then measure the density of each. Which one is more dense?
Answer: The one filled with wooden cubes.
Step-by-step explanation:
First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.
In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm
We know that:
1.6cm*5 = 8cm
Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).
Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.
And we know that:
density = mass/volume.
Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.
What is the slope of y = 1 + 5?
Answer:
1
Step-by-step explanation:
I'm guessing it's 1x, but the first number is always the slope.
(hope this helps!)
a) Solve 3(x – 5) = 18
Answer:
x = 11
Step-by-step explanation:
3(x-5) = 18
Step one: Distrubute 3 to the numbers in the parenthesis.
3x - 15 = 18
Step two: Add 15 on both sides
3x = 33
Step three: Divide by 3 on both sides
x = 11
please help that is muh question
Solve and check
y = 3x - 10
y = 2x - 5
Answer:
This is the subtraction method
Y -3X = -10
(-Y -2x = -5) -Y + 2X = 5
Y -3X = -10
-Y + 2X = 5
-X = -5
X = 5 Now fill in the 5 for X and Y = 5
Answer:
x = 5, y = 5
or
(5, 5)
Step-by-step explanation:
they both equal y so they also equal each other.
3x - 10 = 2x - 5
3x - 2x = -5 + 10
x = 5
substitute x for 5
y = 3x - 10
y = 15 - 10
y = 5
edit, whops forgot to check
just plug the variables in with their values and see if it makes sense:
y = 2x - 5
5 = 2*5 - 5
5 = 10 - 5
5 = 5
since 5 does equal 5, the solution is correct.
Convert decimals to fractions
.37
2.4
.33
Please help
Answer:
1. 37/100
2. 2 2/5 or 12/5
3. 33/100
Step-by-step explanation:
Answer: 37/100.
2 2/5.
33/100
Step-by-step explanation:
I recommend using symbolab.com for further steps and calculator
What is the slope of a line perpendicular to the line whose equation is 2x-10y=100
Answer:
-5
Step-by-step explanation:
To find the perpendicular line, first rearrange this into slope intercept form.
y= mx + b
2x - 10y = 100
-10y = -2x +100
y = 1/5x - 10
The slope of a perpendicular line has a slope that is the receipt I’ll of and opposite of this line. The slope here is 1/5 so flip it and you have 5/1. It will also be negative since that slope was positive.
1/5 —> 5/1 —> -5
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.
For what number of guests will the cost of Caterer A be the same as the cost of Caterer B? number or guest
Answer:
Number of guests = 10
Step-by-step explanation:
Given that:
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.
Let,
x be the number of guests.
A(x) = 15x + 100
B(x) = 20x + 50
For the cost to be equal;
A(x) = B(x)
15x + 100 = 20x + 50
100 - 50 = 20x - 15x
50 = 5x
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{50}{5}\\x=10[/tex]
Hence,
Number of guests = 10
Write an equation of the line with the given slope and y-intercept.
slope: −3
y-intercept: 5
y=
Answer:
Y=-3X+5
Step-by-step explanation:
Given: in a right triangle, cot0 = 28/45
1. what is csc0
2. what is sec0
Answer:
i) [tex]cosec0 = \frac{hypotenuse}{opposite side} = \frac{53}{45}[/tex]
ii) [tex]sec0 = \frac{hypotenuse}{adjacent side} = \frac{53}{28}[/tex]
Step-by-step explanation:
Step(i):-
Given that
[tex]cot 0 = \frac{28}{45} = \frac{adjacentside}{opposite side}[/tex]
Hypotenuse AC² = AB²+BC²
⇒ AC² = 45²+28² = 2809
⇒ AC = √2809
⇒ AC = 53
Hypotenuse AC =53
Step(ii):-
i) [tex]cosec0 = \frac{hypotenuse}{opposite side} = \frac{53}{45}[/tex]
ii) [tex]sec0 = \frac{hypotenuse}{adjacent side} = \frac{53}{28}[/tex]
Why do the points ( 3 , 2 ) , ( 5 , 4 ) and ( 7 , 6 ) not form a triangle ?
~Thanks in advance ! ツ
Answer:
Because it doesn't form a triangle, it doesn't even form a shape in general, it only forms a linear line.
Step-by-step explanation:
Here is a picture down below so you can see what I mean. No triangle just a line
Consider the 4th roots of 16[cos(π) + i sin(π)].
The roots are located on a circle with center at the origin and radius of ....
The arguments of two successive roots differ by.... π units along the circumference of a circle.
Answer:
2 1/2
Step-by-step explanation:
The roots are located on a circle with a center at the origin and a radius of 4. The arguments of two successive roots differ by (1/2)π units along the circumference of a circle.
What is the Circumference of a circle?The circumference of a circle is defined as the product of the diameter of the circle and pi.
The 4th roots of 16[cos(π) + i sin(π)] are the 4th roots of -16i. These roots are located on a circle with a center at the origin and a radius of 4 because the 4th roots of a complex number are equally spaced on a circle with a radius equal to the absolute value of the complex number.
The arguments of two successive roots differ by π/2 units along the circumference of a circle. This is because there are 4 roots and the circle has a circumference of 2π, so each root is spaced 2π/4 = π/2 units apart along the circumference of the circle.
For example, the first root is located at (4, 0) on the complex plane, which corresponds to an argument of 0.
The second root is located at (0, 4) on the complex plane, which corresponds to an argument of π/2.
The third root is located at (-4, 0) on the complex plane, which corresponds to an argument of π.
The fourth root is located at (0, -4) on the complex plane, which corresponds to an argument of 3π/2.
Thus, you can see that the arguments of the roots differ by π/2 units.
To learn more about the roots of complex numbers click here:
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