Answer:
a. $70
b. $(40 + 10x)
Step-by-step explanation:
The standard cost of the charges is $40 per month but an extra $10 per GB over the included amount.
a. Firstly the cost for a month in which he uses 3GB over the limit
we have a standard of $40, then he has to pay $10 per GB for the 3GB over the limit.
Thus the cost of the 3GB is $10 * 3 = $30
The total cost for using 3GB above the limit would be $40 + $30 = $70
b. For using x GB above the limit
He has to pay $10 per each GB above the limit
Thus, the amount to be paid for x GB above the limit would be x * $10 = $10x
So the total amount to be paid would be the base fee plus over the limit fee= $(40 + 10x)
help me pls I'm so confused and this is due in the morning pls help. look at pic
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of O?
O 6, 12
O 0,6
O-6,0
O 6, -6
Answer: 6,-6
Step-by-step explanation:
Because when you add the same number and one of them is a negative it will always be a zero. For example: (-2+2)= 0
I'm sorry if this didn't help.
Below are two similar triangles.
A base= 7 cm
B base= 14cm
The area of triangle A is 20cm^2
Work out the area of triangle B
Answer:
Area of B =80
I hope it's helps you
What is 2x-3(3x-11)=-2
Answer:
x=5
Step-by-step explanation:
2x-3(3x-11)= -2
2x-9x+33= -2
-7x-33= -2
-7x= -33-2
-7x= -35
÷ -7= ÷ -7
x= 5
PLEASE HELP, I really need this and my brain is having a massive math block, and i don't remember how to do this!!!
Answer: b = 9
Step-by-step explanation:
Set up proportions.
20 : 12
15 : b
Cross multiply the proportions.
20b : 180
Simplyfi the ratio.
20b/20
180/20
The answer is b = 9.
hope this helps :)
Answer:
Step-by-step explanation:
15 b
20 12
15 times 12 is 180
20 times b is 20b
20b=180
÷20 ÷20
b=9
9/12=15/20
3/4=3/4
4 of 5
Sarah, Fiona and David share £40 in a ratio 3:3:2. How much
money does each person get?
Sarah: £
Fiona: £
David: £
Answer:
Sarah: £15
Fiona: £15
David: £10
Step-by-step explanation:
3 + 3 + 2 = 8
40 ÷ 8 = 5
3 × 5 = 15
3 × 5 = 15
2 × 5 = 10
Type the missing number in this sequence:
-33, -35, -37, -39, -41, -43,
Answer:
well I'm not sure which way u want me to go so i'll do both ways
-31 orr if your going the other way, -45
can someone help me with this?
-5k = 12
thanks!
Answer:
Not sure what you wanted but here Divide each term by
−
5
-
5
and simplify.
Exact Form:
k
=
−
12
5
k
=
-
12
5
Decimal Form:
k
=
−
2.4
k
=
-
2.4
Mixed Number Form:
k
=
−
2
2
5
Step-by-step explanation:
Answer:
k= -2.4
Step-by-step explanation:
Factorise 5x^2-18x+16=0
Answer:
(5x-8)(x-2)
Step-by-step explanation:
or either use quadratic formula
Water
SA = 2tr2 + 2nrh
(Use 3.14 for 1.)
Find the surface area
of a water tower that is
40 feet tall and 20 feet
across the base.
square feet
Do NOT round your answer.
Answer:
the surface area is 3140 square feet
Step-by-step explanation:
The computation of the surface area is given below:
Given that
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Surface area = [tex]2\pi r^2 + 2\pi rh[/tex]
= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 square feet
hence, the surface area is 3140 square feet
A cone with the same base but a height 3 times taller than the given cylinder exists. What is the volume of each figure? Express your answers in terms of pi.
Volume of the cylinder =
Volume of the cone =
Pls i need help
Answer:
Step-by-step explanation:
131.95
The volume of cylinder and cone are [tex]36\pi[/tex] cubic unit.
Volume of cylinder :It is given by formula, [tex]V=\pi r^{2}h[/tex]
Where r is base radius and h is height of cylinder.
Given that, [tex]r=3,h=4[/tex]
Substitute values in above formula,
[tex]V=\pi*3^{2} *4=36\pi[/tex]
Volume of the cone is,
[tex]V=\frac{1}{3} \pi r^{2}h[/tex]
Given that, [tex]r=3,h=3*4=12[/tex]
Substitute values in above formula.
[tex]V=\frac{1}{3}\pi*3^{2}*12=36\pi[/tex]
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what is the solution to y=2x+3 y=3x+3
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
For Exercises 1 and 2, find the unknown angle measures in each triangle
Answer:
Number 1 is also 125 because it corresponds.
Step-by-step explanation:you see other line in the triangle right!if u see both are giving that line anywhere then you will know they corresponds! hope it hels!good night!
Mercury is the closest planet to the sun at a distance of 36 million miles. The closest star to the sun is Proxima Centauri, which is 4.24 light years away. A light year is 5.9 x 10 to the 12th power. How many miles from the sun is Proxima Centauri?
Answer:
2.36 * 10^13 miles
Step-by-step explanation:
Given that :
Proxima centauri is at a distance of 4.24 light years away from the sun.
Distance in miles of Proxima centauri from the sun ;
1 light year = 5.9 * 10^12 miles
Number of light years from the sun * 5.9 * 10^12
= 4 * (5.9 * 10^12)
= 23.6 * 10^12 miles
= 2.36 * 10^13 miles
Use a triple integral to find the volume of the tetrahedron T bounded by the planes x+2y+z=2, x=2y, x=0 and z=0
Answer:
Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0
We have,
z = 0 and x + 2y + z = 2
⇒ z = 2 - x - 2y
∴ The limits of z are :
0 ≤ z ≤ 2 - x - 2y
Now, in the xy- plane , the equations becomes
x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)
Firstly , we find the intersection between the lines x = 2y and x + 2y = 2
∴ we get
2y + 2y = 2
⇒4y = 2
⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5
⇒x = 2([tex]\frac{1}{2}[/tex]) = 1
So, the intersection point is ( 1, 0.5)
As we have x = 0 and x = 1
∴ The limits of x are :
0 ≤ x ≤ 1
Also,
x = 2y
⇒y = [tex]\frac{x}{2}[/tex]
and x + 2y = 2
⇒2y = 2 - x
⇒y = 1 - [tex]\frac{x}{2}[/tex]
∴ The limits of y are :
[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]
So, we get
Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]
= [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]
= 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0
= 1 - 1 + [tex]\frac{1 }{3}[/tex] = [tex]\frac{1}{3}[/tex]
So, we get
Volume =[tex]\frac{1}{3}[/tex]
The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.
Given,
The tetrahedron T is bounded by the planes,
[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]
From equation (1),
[tex]z=2-x-2y[/tex]
So the limits of z will be from 0 to [tex]2-x-2y[/tex].
Now, from equation (2),
[tex]y=\frac{x}{2}[/tex]
and from equation (1), putting z=0 we get,
[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]
So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].
On solving equation (1), for x we get
[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]
[tex]x=1[/tex].
So the limits of x will be from 0 to 1.
The volume of tetrahedron will be,
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]
[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]
[tex]V=1-1+\frac{1}{3}[/tex]
[tex]V=\dfrac{1}{3}[/tex]
Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.
For more details on Triple integration follow the link:
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Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. If Cliff plants 87 seedlings, how many seedlings do the three boys plant altogether?
Answer:
580 seedlings altogether.
Step-by-step explanation:
Given that,
Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.
The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%
Let x = the total number of seedlings
[tex]15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580[/tex]
Hence, three boys plant 580 seedlings altogether.
Could someone do this real quick
Answer: x= 5/7 or x= 0.714285
Step-by-step explanation:
i need help on the math question if it's right I'll give brain.
Answer: \frac{2}{5} ; or, write in decimal form: 0.4 .
Step-by-step explanation:
Rewrite as:
_______________________
[tex]\frac{4x}{7} = \frac{8}{35}[/tex] ;
________________________
Now, "Cross-factor multiply":
that is:
_____________________
→ Given: [tex]\frac{a}{b} =\frac{c}{d}[/tex] ;
→ ad = bc ; (b≠0 ; d≠0) ;
_____________________
As such:
4x * 35 = 7 * 8 ;
_______________________
We can divide one side of the equatiuon by "4" ; and one side by "7" :
[tex]\frac{4x*35}{4*7} = \frac{7*8}{4*7}[/tex] ;
_______________________
We can simplify the "left-hand side":
"4/4 = 1 " ; and "35/7 = 5 " ; & we are left with "x * 5" ; or "5x " .
________________________
We can simplify the "right-hand side":
"7/7 = 1 " ; and: "8/4 =2 " ; to get: "2/1" ; which equals "2".
_________________________
So; we have: " 5x = 2 " ; Solve for "x" ;
__________________________
Divide each side of the equation by "5" ; to isolate "x" on one ide of the equation; & to solve for: "x" ;
__________________________
" 5x/5 = 2/5 " ; We cancel out the "5x/5" to "1x"; which equals "x":
→ x = [tex]\frac{2}{5}[/tex] ; or, write in decimal format: "x = 0.4" ;
___________________________
\frac{2}{5}
____________________________
Hope this is helpful! Best wishes in your academic pursuits—and within the "Brainly" community!
____________________________
Answer:
[tex]x = 0.4[/tex]
Step-by-step explanation:
[tex]\frac{7}{4} x \frac{4}{7} = \frac{7}{4} x \frac{8}{35}[/tex]
Reduce the number with the greatest common factor 7
[tex]\frac{1}{4} x 4x= \frac{7}{4}x\frac{8}{35}[/tex]
[tex]x=\frac{7}{4}x\frac{8}{35}[/tex]
[tex]x=7x\frac{2}{35}[/tex]
[tex]x=\frac{2}{5}[/tex]
Solve for a :4a-7=5a+1
Answer:
A= -8
Step-by-step explanation:
Subtract 5a from both sides.
Combine 4a and −5a to get −a.
Add 7 to both sides.
Finally, Multiply both sides by −1.
Pls mark brainliest.
Answer:
a = -8
Step-by-step explanation:
4a - 7 = 5a + 1
subtract 1 from both sides of the equation
4a - 7 - 1 = 5a + 1 - 1
4a - 7 - 1 = 5a
4a - 8 = 5a
subtract 4a from both sides of the equation
4a - 4a - 8 = 5a - 4a
-8 = 5a - 4a
-8 = 1a
-8 = a
Given the lengths of sides XY and XZ as shown in triangle XYZ below, what is the length of side YZ?
a. 5√13
b. 12
c. √194
d. 18
e. 5√5
Answer:
YZ = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of XZ = 13
Lenght of XY = 5
Lenght of YZ =?
The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:
XZ² = XY² + YZ²
13² = 5² + YZ²
169 = 25 + YZ²
Collect like terms
169 – 25 = YZ²
144 = YZ²
Take the square root of both side.
YZ = √144
YZ = 12
Therefore, the length of YZ is 12
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
6. Ray Rodriguez will be eligible for retirement benefits in 72 months. How many years remain before Ray
can retire?
Work out the length of DB in the diagram below.
Not drawn
to scale
С
5 cm
D
B
4 cm
E
А
18 cm
Answer:
10cm
Step-by-step explanation:
CDB and CEA are similar=>CD/CE=DB/EA=>5/9=DB/18=>
9DB=90
DB=10
The required length of DB in the diagram below is 10 cm.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Given:
In the given triangle we have
СD=5 cm
DE= 4 cm
EA= 18 cm
According to given question we have
In a triangle CDB and CEA are similar
So,
[tex]\frac{CD}{CE} =\frac{DB}{EA}\\\\=\frac{5}{9} =\frac{DB}{18}\\\\=9DB=90\\\\DB=10[/tex]
Therefore, the required length of DB in the diagram below is 10 cm.
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Fourteen of the people signed up for the ski classes are beginners. If 56% of those signed up are beginners, how many people signed up for classes?
Answer:
25
Step-by-step explanation:
An unknown number of people signed up for the class. Let the total number of people who signed up be x.
56% of the people who signed up are beginners. 14 people are beginners.
That means that
56% of the people who signed up is 14 people.
56% of x = 14
56% * x = 14
0.56x = 14
Divide both sides by 0.56.
0.56x/0.56 = 14/0.56
x = 25
Answer: 25
The expression 5 + 5x is equivalent to the expression
Answer:
5(1+x)
Step-by-step explanation:
Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
Hummingbirds have unusually large hearts for their body size. If a person's heart were as
big as a hummingbird's, his or her heart would weigh as much as a large dog.
Information you will need:
An average hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875
ounces.
1 pound = 16 ounces
The average weight of a large dog is usually more than 80 pounds.
Leo weighs 192 pounds.
a.) How much would Leo's heart weigh if it were the same ratio as a hummingbird's?
Show your work on your paper.
b.) is the original claim true or false? Justify your reasoning here along with your answer.
Answer: 4.8lbs, This claim is false
Step-by-step explanation:
Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.
The ratio of heart to weight is given as,
Ratio = 0.00875 / 0.3524
Ratio = 0.024829
The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,
⇒ 0.024829 x 192 x 16
⇒ 76.28 ounces
Their heart weight of Leo is less than the weight of the dog. So, its claim is false.
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The graph below shows f(x), which represents a parent
function, and g(x), which represents a translation of that
function.
Which statements about the functions are true? Check
all that apply.
Fx) = (1/2)^x
g(x) = (1/2)^x+4 -2
The ranges of both functions are the same.
The domains of both functions are the same.
The translation from f(x) to g(x) is right 4 units and
down 2 units.
Answer:
A. [tex]f(x)= \frac{1}{2}^x[/tex]
D. The domains of both functions are the same
E. The translation between [tex]f(x)[/tex] to [tex]g(x)[/tex] right 4 units and down 2 units.
Find the midpoint of AC is at -2 and C is at 3 on a number line
The value of midpoint of AC will be 0.5.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Point A is at - 2 and C is at 3 on the number line.
Now,
Since, Point A is at - 2 and C is at 3 on the number line.
Hence, The midpoint of AC = (- 2 + 3 ) / 2
= 1/2
= 0.5
Thus, The midpoint of AC = 0.5
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