Answer:
4 liters for £3.20
Step-by-step explanation:
we want to maximize quantity for each unit of money spent. if we use mL and p, we want to maximize mL/p
500 mL = 60 p
divide both sides by 60p to get a mL/p value
500 mL/60 p = 50/6 p ≈ 8.3 mL per pence
4 L = £3.20
note:
1000 mL = 1L
divide both sides by 1 L/ 1000 mL
1000 mL / 1 L = 1
1 L / 1000 mL = 1
100 p = £1
divide both sides by 100p / £1
100p / £1 = 1 = £1 / 100p
convert everything to the same units (mL and p) to accurately compare
4 L = £3.20
4L = 4L * 1 = 4L * 1000 mL / 1 L = 4000 mL. Note that we have two options to choose from -- 1000 mL / 1 L and 1 L / 1000 mL. We choose the first one here because we want the 4L to cancel out with the 1 L
£3.20 = £3.20 * 1 = £3.20 * 100p / £1 = 320 p. note we put the £1 on the bottom so the euros cancel out.
thus,
4 L = £3.20
= 4000 mL = 320p
divide both sides by 320p to get a mL / p value
4000 mL / 320 p = 12.5 mL/p
8.3 mL per pence in the first one
12.5 mL per pence in the second one
the second one has a higher mL per pence, so that is a better value
An above ground pool is shaped like a cylinder. It is 5.5 feet tall and has a diameter of 20 feet. If the pool is filled to 5 feet, what is the volume of the water? If the pool is filled to the top, what is the volume of the water?
First, we must know the formula for solving the volume of a cylinder, which is [tex]V = \pi r^2 h[/tex]. Since the water is only being filled to 5 feet, we do not care about the 0.5 feet of the height.
Using the formula, we need to plug-in the numbers for the radius (20 divided by 2 is 10) and height. Doing this, the equation should now look like this: [tex]V = 3.14 * 10^2 * 5[/tex]. When solving, the volume of the water is 1570 feet cubed.
Answer:
1570.796 feet cubed
Step-by-step explanation:
First you find the surface area of the base of the cylinder which should look like this:
(10^2)(π)
Next you multiply that by the height (5 feet) because 3d shapes are bases stacked on each other which should look like this:
314.1592654(5)
After that arithmetic you will get 1570.796 or 1570.8 rounded as your answer!
Please help meeeeee I suck at math
Answer:
Option E) 832.9km2
Step-by-step explanation:
The total area of the circle:
[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]
The proportion of the blank region:
[tex]\frac{(67)(3)}{360} =0.558333[/tex]
Then the proportion of the shaded region is:
[tex]1-0.558=0.441667[/tex]
Extract this proportion from the total area
[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]
Hope this helps
The diagram below shows a sign that Annie designed. It is made of two circles that share the same center. Annie wants to use string to create a border around the outermost edge of the sign. About how many inches of string does Annie need?
132 in
Step-by-step explanation:
Take the total radius = 18+3 = 21= R (say) Simply use the formula for the circumference i.e. 2*pi*R2*22/7*21= 132Thomas rolled a number cube with sides labeled 1 through 6. What is the
probability that Thomas rolled either a 2 or a 5?
A 1/6
B 1/3
C 1/2
D 4/6
Answer:
b
Step-by-step explanation:
He has a probability of 2 over 6 to roll 2 or 5 bc it's 2 numbers out of 6 simplify 2 over 6 and you get 1 over 3
Which expression is equivalent to log18 – log(p 2)?
The expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given logarithmic expression is,
[tex]\log18 -\log(p+ 2)[/tex]
Let the expression which is equivalent to above expression is f(p). Thus,
[tex]f(p)=\log18 -\log(p+ 2)[/tex]
With the help of Quotient Rule of logarithmic, the above expression can be written as,
[tex]f(p)=\log18 -\log(p+ 2)\\f(p)=\log\left(\dfrac{18}{p+2}\right)[/tex]
Thus, the expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].
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It costs $112 to turf a lawn of area 56m squared. How many dollars would it cost to turf a lawn of area 77m squared.
[tex]Cost\:of\:56m^2lawn=$112\\Cost\:of\:1m^2 lawn=$(112/56)\\=$2Cost\:of\:99m^2=$(99\:x\:2)=$198\\=14166.9rs /14167 rs[/tex]
Found answer here: https://brainly.in/question/12501706
Answer:
$154
Step-by-step explanation:
You have to divide 112/56 to get the amount of money each m squared is which is 2
Then you subtract 77-56 to get the difference, which is 21 and then you multiply 21•2 which is 42
Then you add 42+112 which will be 154
A line passes through point (-8,-2) and has a slope of -3/2. Write an equation in Ax+By=C form for this line. Use integers for A, B, and C.
Answer:
A= 3/2, B = 1, C = -14
Step-by-step explanation:
Using the point-slope form we can plug in your point and slope.
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-3/2(x-(-8))[/tex]
[tex]y+2=-3/2(x+8)[/tex]
Distribute -3/2
[tex]y+2=-3/2x-3/2*8[/tex]
[tex]y+2=-3/2x-12[/tex]
Get y by itself by subtracting 2 to both side.
[tex]y=-3/2x-14[/tex]
[tex]3/2x+y=-14[/tex]
A = 3/2 , B = 1 , C= -14
Find the length of the third side. If necessary, round to the nearest tenth.
23
30
Answer:
37.80
Step-by-step explanation:
a^2 + b^2 = c^2
=> 23^2 + 30^2 = x^2
=> 1429 = x^2
=> 37.80
Hope this heps :)
Need help with this quickly . Will give brainliest.
Answer:
A
Step-by-step explanation:
(Not sure if this is completely right but this should be it)
Will give 5 stars on your answer and a thank you.
Answer:
the variable term is (t)
the answer is 13.50t
Answer:
it will be 13.50t
Step-by-step explanation:
it says 13.50 for EACH Ticket so it is the last one
Hope it helps <333
Find the length of the unknown side
SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
1. 676 2. 10,000 3. 2,500 4. 1,681
Step-by-step explanation:
1. Using the Pythagorean Theorem (a sqaured + b sqaured = c sqaured) you do 10 sqaured plus 24 squared which equals 676.
2. By using the same Theorem, you do 60 sqaured plus 80 sqaured which equals 10,000.
3.By using the same Theorem, you do 30 sqaured plus 40 sqaured which equals 2,500
4.By using the same Theorem, you do 40 sqaured plus 9 sqaured which equals 1,681.
3w+1≥19 Solve the inequality
Step-by-step explanation:
group like terms
[tex]3w \geqslant 19 - 1[/tex]
solve
[tex]3w \geqslant 18[/tex]
divide the number with the variable by both sides
[tex] \frac{3w}{3} \geqslant \frac{18}{3} [/tex]
solve
[tex]w \geqslant 6[/tex]
Answer:
w ≥ 6
Step-by-step explanation:
Given:
3w+1≥19
Solve:
3w+1≥19
Subtract 1 from both sides
3w+1≥19
-1 -1
-----------------
3w≥18
Divide both sides by 3
3w/3 ≥18/3
w ≥ 6
Hence, the answer is:
w ≥ 6
Kavinsky
The value of the expression 7+3^2+(12-8)/2x4 is???
Answer:
24
Step-by-step explanation:
7+3^2+(12-8)/2x4
=7+9+4/2x4
=7+9+2x4
=7+9+8
=24
need help asap will give brainlist
Answer:
4th option
Step-by-step explanation:
using the rule of exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
then
[tex](5)^{\frac{7}{3} }[/tex] = [tex]\sqrt[3]{5^{7} }[/tex]
Answer:
[tex]\sqrt[3]{5^{7} }[/tex]Step-by-step explanation:
Given
[tex]5^{\frac{7}{3} }[/tex]Rule
[tex]a^{\frac{x}{y} } = \sqrt[y]{a^{x} }[/tex]Here,
a = 5x = 7y = 3So, on subsituting :
[tex]\sqrt[3]{5^{7} }[/tex]The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) → (0.5x, 0.5y).
What are the coordinates of Q', if Q(0, 2)?
(
,
)
Answer:
Q' (0, 1)
Step-by-step explanation:
(x, y) → (0.5x, 0.5y) <== substitute 0 for x and 2 for y
(0, 2) → (0.5(0), 0.5(2)) <== multiply
(0, 2) → (0, 1)
Hope this helps!
Powwows were, and still are a part of Native American life.
TRUE
FALSE
Pls help me solve the equation. Show steps.
Pasos
5
3
k+
10
7
=
15
11
k−
5
2
Resta
15
11
k en los dos lados.
5
3
k+
10
7
−
15
11
k=−
5
2
Combina
5
3
k y −
15
11
k para obtener −
15
2
k.
−
15
2
k+
10
7
=−
5
2
Resta
10
7
en los dos lados.
−
15
2
k=−
5
2
−
10
7
El mínimo común múltiplo de 5 y 10 es 10. Convertir −
5
2
y
10
7
a fracciones con denominador 10.
−
15
2
k=−
10
4
−
10
7
Como −
10
4
y
10
7
tienen el mismo denominador, reste sus numeradores para restarlos.
−
15
2
k=
10
−4−7
Resta 7 de −4 para obtener −11.
−
15
2
k=−
10
11
Multiplica los dos lados por −
2
15
, el recíproco de −
15
2
.
k=−
10
11
(−
2
15
)
Multiplica −
10
11
por −
2
15
(para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).
k=
10×2
−11(−15)
Realiza las multiplicaciones en la fracción
10×2
−11(−15)
.
k=
20
165
Reduzca la fracción
20
165
a su mínima expresión extrayendo y anulando 5.
k=
4
33
Answer:
33/4
Step-by-step explanation:
3k/5 +7/10 = 11k/15 - 2/5
11k/15 - 3k/5 = 7/10 +2/5
11k/15 - 9k/15 = 7/10 + 4/10
2k/15 = 11/10
2k = 165/10
2k = 33/2
k = 33/4
i need help with question 28;
Answer:
Hope this helps!
simplify the following fraction:
18
__
40
Answer:
9/20
Step-by-step explanation:
Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with
his lunch. Vikram says he drank a total of 39/100
of a liter.
Use the drop-down menus to explain why Vikram is not correct.
The Vikram is not correct as he said that he drank a total of 39/100
of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.
What is the fraction number?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with his lunch.
Thus, the total amount he drank is,
[tex]n=\dfrac{6}{10}+\dfrac{33}{100}\\[/tex]
Take the LCM 100, to solve it further,
[tex]n=\dfrac{60+33}{100}\\n=\dfrac{99}{100}\\[/tex]
Now, Vikram says he drank a total of 39/100 of a liter, which is an incorrect claim.
Thus, the Vikram is not correct as he said that he drank a total of 39/100
of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.
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? Don't Send links, don't Write random things and get the points for free.
Answer:
[tex]V = 1847.26\ ft^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume
[tex]V=\pi r^2h[/tex]
[tex]V = \pi *(7\ ft)^2 * (12\ ft)[/tex]
[tex]V = \pi *49\ ft^2 * 12\ ft[/tex]
[tex]V = \pi * 588\ ft^3[/tex]
[tex]V = 1847.26\ ft^3[/tex]
Answer: [tex]V = 1847.26\ ft^3[/tex]
Answer:
Step-by-step explanation:
volume
Make x the
Subject
4(x +t) = M
Answer:
x = (M-4t)/4
Step-by-step explanation:
First we expand the brackets:
4(x+t) =M
4x +4t = M
Subtract 4t from both sides:
4x +4t -4t = M -4t
Simplify:
4x = M -4t
Divide both sides by 4 :
4x÷4 = (M-4t)/4 = (M-4t)÷4
x = (M-4t)/4
Hope this helped and brainliest please.
Mr. Schultz is randomly distributing 15 rulers with centimeter markings and 10 rulers without centimeter markings to his class. What is the probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings?
The probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings is 9/40.
Probability of distributing the rulers
The probability of distributing the rulers is calculated as follows;
Total outcome = 15 rulers with centimeter markings + 10 rulers without centimeter markings
Total outcome = 25
The probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings;
P = (R with M) and (R without M)
P = (15/25) x (9/24)
P = (3/5) x (3/8)
P = 9/40
Thus, the probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings is 9/40.
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Select the correct answer.
Which of these graphs represents a function?
Answer:
the answer is w. this is a linear function that is increasing over time.
Step-by-step explanation:
Help!?!? Find the area of the shaded region. Round your answer to the nearest hundredth.
Check the picture below.
so if y = 2, then 2y = 4, thus
[tex]\textit{area of a segment of a circle}\\\\A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=4\\\theta =60\end{cases}\\\\\\A=\cfrac{4^2}{2}\left(\cfrac{\pi (60) }{180}~~ - ~~sin(60^o ) \right)\implies A=8\left( \cfrac{\pi }{3}~~ - ~~\cfrac{\sqrt{3}}{2} \right)\\\\\\A=\cfrac{8\pi }{3}~~ - ~~4\sqrt{3}\implies A\approx 1.45[/tex]
How many times does the graph cross the x-axis for this equation y = -2x2 + 4x -
5? *
A quadratic equation is in the form of ax²+bx+c. The graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The given equation is a quadratic equaion, therefore, to know if the equation will intersect with the x-axis we need to find the roots of the equation.
Since the value of the discriminant is negative for this equation, the roots of the equation will be imaginary. Plotting the graph, we will observe that the graph will not intersect the x-axis at any point.
Hence, the graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.
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As an estimation we are told £3 is €4.
Convert €85.10 to pounds.
Give your answer rounded to 2 DP.
Answer:
To solve the above problem we will use the unitary method as follows
As estimated If £ 3 is equivalent to € 4
Then, £ 1 will be equivalent to = € \frac{4}{3}
£ 64.60 will be equivalent to = € \frac{4}{3} \times 64.60 = 1.3333 \times 64.60 = 86.1311
Now you have to round the answer up to 2 decimal points to get the final answer
€ 86.1311 ≈ € 86.13
Thus, £ 64.60 is approximately equal to € 86.13.
Step-by-step explanation:
hope this helps if not let me now
A circule has a diameter of 28 ft what is the circumference
Answer:
Circumference of a 28 Foot Diameter Circle ; 87.965, feet ; 1,055.6, inches ; 87′ 11.6″, feet and inches ; 26.812, meters ; 2,681.2, centimeters .
Step-by-step explanation:
Find the measure of angle CED in the figure below. Enter only the number.
Answer:
∠CED = 58°
Step-by-step explanation:
Clearly, we can see that ∠AED and ∠CED are a linear pair. Therefore:
∠AED + ∠CED = 180°Definition of Linear pair: A linear pair is two angles that form a 180 angle.
We are given that:
∠AED = 122°Therefore, when we substitute the measure of ∠AED, we get;
122° + ∠CED = 180°This problem is now an algebraic problem. Simply isolate ∠CED on one side of the equation to determine the measure of ∠CED. This can be done by subtracting 122 both sides of the equation.
∠CED = 180° - 122°∠CED = 58°Therefore, the measure of ∠CED is 58°.
The measure of angle CED is 58° adjacent to the angle AED.
What is a linear pair of angles?A pair of linear angles are adjacent to each other whose sum is 180°.
Given, a measure of the angle AED is 122°
We know the measure of linear pair of angles is 180°.
∴ m∠AED + m∠CED = 180°.
122° + m∠CED = 180°.
m∠CED = 180° - 122°.
m∠CED = 58°.
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solve for x 0 = 3x - 21