Gwen can buy 5 bottles of cola with her £7 and will have £0.75 left over.
Explanation:Gwen has in total £7 (£5 note + £2 coin). A litre of cola costs £1.25. To find out how many bottles of cola Gwen can buy, we need to divide the total amount Gwen has by the cost of one bottle of cola.
Divide the total amount of money (£7) by the cost of one litre of cola (£1.25).£7 ÷ £1.25 = 5.6. Gwen can buy 5 bottles because she cannot buy a fraction of a bottle.Multiply the number of bottles she can buy (5) by the cost per bottle (£1.25) to find out the total cost. 5 × £1.25 = £6.25.Subtract the total cost of the cola (£6.25) from the total amount of money Gwen has (£7). £7 - £6.25 = £0.75.
Therefore, Gwen will have £0.75 left over after buying as many bottles of cola as she can.
steps to solve -3x-2=13
Answer:
X=-5
Step-by-step explanation:
1.) Add 2 to 13, then you have -3x=15
2.) Divide 15 by -3 to get the solution. x=-5
Antonio was visiting three cities that lie on a coordinate grid at A(4, 5), B(-1, 3) and C(-3, -4). If he visited the cities and ended up where he started, how many miles did he travel?
Answer:
24.065 miles
Step-by-step explanation:
Antonio visited three cities on the coordinate grid at A(4, 5), B(-1, 3) and C(-3, -4), he visited the cities and ended up where he started. That means he moved from point A to B to C and back to A.
The distance (d) between two points (x₁, y₁) and (x₂, y₂) can be given as:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore distance between AB = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-1-4)^2+(3-5)^2}=\sqrt{25+4}=5.385[/tex]
distance between BC = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-3-(-1))^2+(-4-3)^2}=\sqrt{4+49}=7.28[/tex]
distance between CA = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-(-3))^2+(5-(-4))^2}=\sqrt{49+81}=11.4[/tex]
The total distance = AB + BC + AC = 5.385 + 7.28 + 11.4 = 24.065 miles
What are the domain and range of the function f(x)= 4 - 2x^2-4
A.) domain: all real numbers
range: all real numbers greater than or equal to –5
B.) domain: all real numbers
range: all real numbers greater than or equal to –4
C.) domain: all real numbers between –2.5 and 2.5
range: all real numbers
D.) domain: all real numbers between –2.5 and 2.5
range: all real numbers greater than or equal to –5
Answer:
If you meant to type f(x) = (4 - 2x)^2 - 4, then choose choice B.) domain: all real numbers
range: all real numbers greater than or equal to –4
----
With your typo... the choices narrow down to choice B and A. . The domain is definitely all real numbers for a quadratic function.
Step-by-step explanation:
We have a quadratic function
f(x) =4 -2*x^2 - 4
I assume there is a typo here.
check y >= -5 and y >= -4...
what if f(x) = (4 - 2x)^2 - 4
then f(x) = 4*(x - 2)^2 - 4 with vertex at (2, -4) which makes sense with the answer choice B.)
f(x) = 4*(xx - 4x + 4) - 4 = 4xx - 16x + 16 -4 = 4xx - 16x +12 ...
The domain of the function is all real numbers, and the range is all real numbers greater than or equal to -4.
The correct answer is option B.
Certainly, let's discuss the domain and range of the function f(x) = 4 - 2x^2 - 4 :
Domain (Possible x-values):
The domain of a function represents all the possible input values (x-values) for which the function is defined. In this case, f(x) is a polynomial function, and polynomial functions are defined for all real numbers. Therefore, the domain is all real numbers. So, options (A) and (B) are incorrect because they limit the domain.
Range (Possible y-values):
To determine the range, we need to analyze how the function behaves. The function f(x) = 4 - 2x^2 - 4 is a quadratic function with a leading coefficient of -2. It opens downward, and its vertex is at the point (0, 0). As x moves away from the vertex in either direction, the function value decreases without bound. Therefore, the range is all real numbers less than or equal to -4 because the function never goes above -4. So, options (C) and (D) are incorrect because they indicate that the range includes positive values.
Based on the analysis, the correct answer is:
B.) domain: all real numbers
range: all real numbers greater than or equal to -4
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The center of a circle is located at (3, -4). The radius of the circle is 6.
What is the equation of the circle in general form?
x2 + y2 + 6x − 8y − 11 = 0
x2 + y2 − 6x + 8y − 11 = 0
x2 + y2 + 6x − 8y + 19 = 0
Answer:
B
Step-by-step explanation:
The equation of a circle in standard form is [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center and r is the radius. The general form is simply the expanded form of the standard. Let's first write the standard form.
Here, the center is (3, -4) and the radius is r = 6, so:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](x-3)^2+(y+4)^2=6^2[/tex]
Now expand:
x² - 6x + 9 + y² + 8y + 16 = 36
x² + y² - 6x + 8y - 11 = 0
The answer is B.
Answer:
x² + y² - 6x + 8y - 11 = 0
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
(x - 3)² + (y + 4)² = 6²
x² - 6x + 9 + y² + 8y + 16 = 36
x² + y² - 6x + 8y - 11 = 0
In a race in which eleven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
Answer:
990 ways
Step-by-step explanation:
The total number of automobiles we have is 11.
Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)
For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)
For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)
Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways
please help its math
Let the length of the radius = r feet.
Diameter = 2r = 2 x 6.8 = 13.6 feet
Circumference = 2[tex]\pi[/tex]r = 2 x 3.14 x 6.8 = 42.704 feet = approx. 42.7 feet
The diameter is 13.60 feet.
The circumstance is approximately 42.70 feet.
Look at the attached picture
Hope it will help you
Work out the surface area of this solid prism.
The surface area of the solid rectangular prism is 408 square meters.
To find the surface area of a solid rectangular prism, you can use the formula:
Surface Area = 2lw + 2lh + 2wh
Where:
l = length
w = width
h = height
In your case, the dimensions of the prism are:
Length (l) = 9 meters
Width (w) = 10 meters
Height (h) = 6 meters
Now, plug these values into the formula:
Surface Area = 2(9m)(10m) + 2(9m)(6m) + 2(10m)(6m)
Surface Area = 180m^2 + 108m^2 + 120m^2
Now, add these areas together:
Surface Area = 180m^2 + 108m^2 + 120m^2 = 408m^2
So, the surface area of the solid rectangular prism is 408 square meters.
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Sam cleaned of his house in 50 minutes. How many hours will it take him to clean his entire house?
Answer:
20min
Step-by-step explanation:
What kind of symmetry does the given isosceles trapezoidal prism have? The prism has both rotational and reflectional symmetry. The prism only has rotational symmetry. The prism has only reflectional symmetry. The prism has no symmetry.
Answer:the prism has both rotational and reflections symmetry.
Step-by-step explanation:
24 divided by 10 to the power of 4
Answer: 0.0024
Step-by-step explanation: To get the answer, all we have to do is...
24 ÷ 10 ⁴ = 0.0024
We have to push 24 to the right 4 times...
24 ⇒ 2.4 ⇒ 0.24 ⇒ 0.024 ⇒ 0.0024
I hope this helps!
Tony needs 16 inch-long pieces of gold chain to
make each of 3 necklaces. He has a piece of chain
that is feet long. How much chain will he
have left after making the necklaces?
O 6 inches
O 12 inches
18 inches
24 inches
Answer:
Option (1). 6 inches
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces ?
Tony has a piece of chain = 4.5 feet long
≈ 4.5 × 12 inches
≈ 54 inches
Number of necklaces Tony wants to make = 3
Length of every piece of gold chain required for one necklace = 16 inches
Total length of gold chain required for 3 necklaces = 3 × 16 inches
= 48 inches
Length of remaining chain = 54 - 48 = 6 inches
Therefore, Option (1) will be the answer.
What is the distance between (-6,8) and (-3,9)?
Answer:
The answer is C.
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
A) 25.7
B) 15.5
C) 12.6
D) 31.8
Answer:
i think 40
Step-by-step explanation:
Answer:
C. 12.6
Step-by-step explanation:
That is the answer when correctly put into a calculator.
What is the solution to this equation?
4x - 6 + 2 x = 18
Answer:
x = 4
Step-by-step explanation:
4x + 2x = 18 + 6 (6 goes to the other side and changes its sign)
6x = 24
x = 4 (divide 24 by 6)
Answer:
x = 4
Step-by-step explanation:
4x - 6 + 2x = 18
4x + 2x = 18 + 6 collect like terms
6x = 24 divide both sides by the coefficient of x
x = 4
alice is playing checkers against a computer and has won 8 games out of the 12 she’s played so far
I do not know what kind of answer you may want but here is a few you might be asking for
(1). Every 12 games Alice wins 8 games and looses 4. ( 8/12 )
(2). Alice wins 2/3 games against a computer. ( 8/12 )
(3). Alice wins 66% of games she plays against a computer.
There you go.
Alice's win ratio for playing checkers against a computer is 8 wins out of 12 games, which simplifies to 2/3.
Alice has played 12 checker games against a computer and has won 8 of them. To understand her win ratio, we simply divide the number of games won by the total number of games played. This gives us a ratio or fraction of 8/12, which can also be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, resulting in 2/3. Therefore, Alice has a winning ratio of 2 wins for every 3 games played. Understanding win ratios is an essential part of probability and statistics, a key area within mathematics dealing with the analysis of numerical data.
can u round this number?
2.29885057471
Answer:
no
Step-by-step explanation:
you can round it to 2.3 but depending on what place you are asked to round to it is still just 2
what is first even number that is a multiple of 5 and 7?
Answer:
I think its 35
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
The least common factor of 5 and 7 is 35. We multiply it by two because it is not even.
I’m too sure how to do this?
Answer:
x= -12/5 y+2
y=3/2y+-35/2x=
Step-by-step explanation:
if y varies directly as x and y = 34 when x = 8, determine an equation to represent this relation.
Answer:
y = 4.25x
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 34 when x = 8, thus
34 = 8k ( divide both sides by 8 )
k = [tex]\frac{34}{8}[/tex] = 4.25
y = 4.25x ← equation of variation
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
Answer:
113.1
Step-by-step explanation:
V=4/3π(r)^3
V=4/3π(3)^3
V=4/3(27)π
V=36π ---> 113.1
Para iniciar un negocio, una pareja pide $5.500.000 para comprar equipo y suministros. Si el préstamo tiene una tasa de 14% de interés. ¿Cuánto deben pagar al final de un período de 90 días?
Answer:
They will have to pay $5,692,500 in 90 days.
Deben pagar $5,692,500 pagar al final de un período de 90 días.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years..
After t years, the total amount of money is:
[tex]T = E + P[/tex].
In this question:
[tex]P = 5500000, I = 0.14[/tex]
3 months is 3/12 = 1/4 = 0.25 of an year. So [tex]t = 0.25[/tex]
Then the interest accrued is:
[tex]E = P*I*t = 5500000*0.14*0.25 = 192500[/tex]
What they will have to pay:
[tex]T = 192500 + 5500000 = 5692500[/tex]
They will have to pay $5,692,500 in 90 days.
Deben pagar $5,692,500 pagar al final de un período de 90 días.
Can someone help please
Answer:
A = -16
B = 32
Step-by-step explanation:
There are 6 lines between A and B
48 ÷ 6 = 8 per line
A is two lines left of zero
A = 0 - 8 - 8 = - 16
B has 4 lines right of zero
B = 0 + 8 + 8 + 8 + 8 = 32
please help mehbraaa
Answer:
(a) Choice 1, 2
(b) Choice 3, 4
Step-by-step explanation:
The negative can be out front, on the top or on the bottom
-2/5 = - 2/5 or 2 / -5
The negative can be out front, on the top or on the bottom
- 4/7 = -4/ -7 or -4/7
Step-by-step explanation:
Step 1: Find the correct options for (a)
The only correct choices for (a) is option A and B. Since there is only one negative sign in the given fraction, the other fractions must only have one also. Therefore, the correct options are A and B.
Step 2: Find the correct options for (b)
The only correct choices for (B) is option C and D. Since there is only one negative sign in the given fraction, the other fractions must only have one also. Therefore, the correct options are C and D.
if g =-3, h =-4, and j = -4
what's the answer to this?
2gh + j
Answer:
20
Step-by-step explanation:
Substitute all the known values into the expression.
2 (-3) (-4) + (-4)
Then solve using pemdas
24 + (-4)
= 20
Find (2x^2 + 2) + (x^2-4) – (3x^2 + 1)
Step-by-step explanation:
hope this is right I got this answer on one my fav website tiger
Answer:
[tex] - 3[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} + 2 + ( {x}^{2} - 4) - (3 {x}^{2} + 1) \\ 2 {x}^{2} + 2 + {x}^{2} - 4 - 3 {x}^{2} - 1 \\ 2 {x}^{2} + {x}^{2} - 3 {x}^{2} + 2 - 4 - 1 \\ = - 3[/tex]
2. If one angle of a parallelogram is 70°, find
the degrees in the remaining 3 angles.
Answer:
The remaining three angles would be 70°, 110°, and 110°.
Step-by-step explanation:
A parallelogram has a measurement of 360° with two pairs of congruent opposite angles/sides.
How much money should be deposited today in an account that earns 6% compounded semiannually so that it will accumulate to $14,000 in three years?
Answer:
The amount of money to be deposited today is $11,725
Step-by-step explanation:
In this question , we are concerned with calculating the amount of money that should be deposited presently to have $14,000 in three years.
To get this, we have to use the compound interest formula
A = P( 1+ r/n)^nt
where A is the amount to be earned after the end of the compounding period which is $14,000 according to this question
P is the initial amount to be deposited which is what we are looking for
r is the rate of compounding which is 6% or simply 6/100 = 0.06
n is the number of times interest is compounded yearly which is semiannually according to the question and this means 2
t is the number of years which is 3 according to the question
Now, plugging all these values, we have;
14,000 = P( 1 + 0.06/2)^(3 * 2)
14,000 = P(1+0.03)^6
14,000 = P(1.03)^6
14,000 = 1.194P
P = 14,000/1.194
P = 11,724.77 which is approximately $11,725
Martha earned $180 during the summer doing chores. She bought 3 books worth $14 each using her chore money. How much money was left after she bought the books?
Thx for helping :P
Answer:
$138
Step-by-step explanation:
We can first turn the words into a mathematical equation by substituting words with the information we have:
Total earning - ( Price of three books)
$180 - (Price of one book x 3)
$180 - ($14 x 3)
Finally, after we have created the mathematical equation, we solve it!
$180 - ($14 x 3)
$180 - $42
$138
which type of event is thought to have caused most species on earth to have become extinct?
A) volcanic eruptions
B) human activity
C) air pollution
D) climate change
Answer:
D because climate change can kill people
Answer:
I agree with lazarbeam profile man
Step-by-step explanation:
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The volume of a sphere is 4,186.67 cm cubed. To the nearest centimeter, what is the radius of the sphere? Use 3.14 for π.
A.8
B.5
C.10
Using the volume formula for a sphere (V = (4/3)πr3), the radius for the given volume of 4,186.67 cm3 is calculated to be 10 cm, making option C correct.
Explanation:The volume of a sphere is given by the formula V = (4/3)πr3. To find the radius of a sphere with a volume of 4,186.67 cm3, we rearrange the formula to solve for r:
r = ∛((3V) / (4π))
Substituting the given volume and 3.14 for π:
r = ∛[(3×4,186.67 cm3) / (4×3.14)]
r = ∛[(12,560.01 cm3) / (12.56)]
r = ∛(1,000)
r = 10 cm
So, to the nearest centimeter, the radius of the sphere is 10 centimeters, making option C the correct answer.