Answer:
1. $145
2. 45+25x=total $
Step-by-step explanation:
45+(25•4)=145
Step-by-step explanation:
Given:
10 GB included with plan
$45 per month
$25 per GB over the amount of 10
Need to find out:
How much would Kadeesha have to pay in a month where she used 4 GB over the limit, how much would it be if it went over xx GB?
Let's solve the first problem:
10 GB included + 4 GB (over) =14 total GB
$45=10GB. $25×4= 4 GB over.
$45+$100=$145
Therefore, Kadeesha would have to pay $145 if she went 4 GB over the 10.
Now, let's solve the next problem:
So, for this problem we are going to find the amount it wil be in other various amounts. To do this we will create a chart /table
$45 ------> 10GB
$70 -----> 11 GB
$95 ----> 12 GB
$120 ---> 13 GB
$145 ---> 14 GB
$170 ---> 15 GB
and so on....
but here we can see any given amount will be her usual Phone bill amount ($45), with the 10 GB and an additional $25 for every added GB.
if something is unclear, or seems wrong just let me know!
I hope this helps:)
. Which of the following equations
represents an identity? Justify your
choice.
1) 2x+1=3x+4
2) 4x-3=2(2x+7)
3) 6x+3=2x+10
4) 4(5x+2) = 20x+8
The correct equation which represent an identity will be;
⇒ 4(5x+2) = 20x+8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
All the equations are,
1) 2x + 1 = 3x + 4
2) 4x - 3 = 2(2x + 7)
3) 6x + 3 = 2x + 10
4) 4(5x + 2) = 20x + 8
Now,
Solve each equation and find an identity as;
1) 2x + 1 = 3x + 4
⇒ 1 - 4 = 3x - 2x
⇒ - 3 = x
⇒ x = -3
Thus, It is not represent an identity.
2) 4x - 3 = 2(2x + 7)
⇒ 4x - 3 = 4x + 14
⇒ - 3 ≠ 14
Thus, It shows no solution.
3) 6x + 3 = 2x + 10
⇒ 6x - 2x = 10 - 3
⇒ 4x = 7
⇒ x = 7/4
Thus, It is not represent an identity.
4) 4(5x + 2) = 20x + 8
⇒ 20x + 8 = 20x + 8
⇒ 20x - 20x = 8 - 8
⇒ 0 = 0
Clearly, '0' is an additive identity.
Thus, This equation shows an identity.
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2x - 3y = -7
y = 2x + 9
You have 3 cups of raisins. A recipe calls for 2/3 cup of raisins per serving. How many full servings can you make?
Answer:
4
Step-by-step explanation:
Add 2/3 until the number is 3 or more than 3.
2 servings: 2/3 + 2/3 = 4/3
3 servings: 4/3 + 2/3 =6/3 = 2
4 servings: 2 + 2/3 = 2 and 2/3
5 servings: 2 and 2/3 + 2/3 = 2 and 4/3
4/3 is greater than 1, so 2 and 4/3 is more than 3. That means you can only make 4 servings with 3 cups of raisings.
. Solve for x in the equation log (7x+5) -log(x - 1) = 1(with full working
Answer:
Step-by-step explanation:
To solve this equation, we can start by using the logarithm property that states: log(a) - log(b) = log(a/b).
Then, we can apply this property to the left side of the equation:
log (7x+5) - log(x - 1) = log((7x+5)/(x - 1)) = 1
Next, we can rewrite the right side of the equation as:
log((7x+5)/(x - 1)) = log(7x+5) - log(x - 1) = 1
Now, we can use the inverse property of logarithms, which states: log(a) = b, then a = 10^b, to solve for x.
This gives us: (7x+5)/(x - 1) = 10
We can then cross-multiply and simplify to get: 7x+5 = 10x - 10
This equation simplifies to: 3x = -5
Dividing both sides by 3 gives us: x = -5/3
Therefore, the solution to the equation is x = -5/3.
HELP PLZ!!!
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
C=5/9F−5/9(32)
you can see the slope of the graph is 5/9, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9 of 1 degree Celsius. Therefore, statement I is true.
This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5 degrees Fahrenheit. Since 95 = 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of 9/5 degrees Fahrenheit, not 5/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.
The final answer is D.
Who can solve these equations?
let's hmmm hmmm multiply both sides by the LCD of all denominators, that way we do away with the denominators and see what "x" is
[tex]\cfrac{x+1}{2}+\cfrac{x+2}{3}=3-\cfrac{x+3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{x+1}{2}+\cfrac{x+2}{3} \right)=12\left( 3-\cfrac{x+3}{4} \right)} \\\\\\ (6x+6)+(4x+8)=36-(3x+9)\implies 10x+14=36-3x-9 \\\\\\ 10x+14=27-3x\implies 10x=13-3x\implies 13x=13 \\\\\\ x=\cfrac{13}{13}\implies x=1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{1-4x}{10}-\cfrac{2x+1}{2}=\cfrac{5x+1}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{1-4x}{10}-\cfrac{2x+1}{2}\right)=10\left( \cfrac{5x+1}{5} \right)} \\\\\\ (1-4x)-(10x+5)=10x+2\implies 1-4x-10x-5=10x+2 \\\\\\ -14x-4=10x+2\implies -4=24x+2\implies -6=24x \\\\\\ \cfrac{-6}{24}=x\implies -\cfrac{1}{4}=x[/tex]
20 points plz helpppppp
Answer:
not sure but I think its the second one
Answer:
it's B i believe
Step-by-step explanation:
Jackson is trying to find the density, in g/cm", of a block of wood.
The block of wood is in the shape of a cuboid.
He measures
the length as 13. 2 cm, correct to the nearest mm
the width as 16. 0 cm, correct to the nearest mm
the height as 21. 7 cm, correct to the nearest mm
He measures the mass as 1970 g, correct to the nearest 5 g.
By considering bounds, work out the density of the wood.
Give your answer to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.
The density of the wood is between 0.35 g/cm^3
The density of a substance can be calculated using the formula:
density = mass / volume
To calculate the volume of the cuboid, we can use the formula:
volume = length x width x height
So, using the measurements provided:
volume = 13.2 cm x 16.0 cm x 21.7 cm = 5541.44 cm^3
To calculate the density of the wood, we divide the mass by the volume:
density = 1970 g / 5541.44 cm^3
We can convert cm^3 to g/cm^3 by converting the volume to g
1cm^3 = 1g/cm^3
density = 1970 g / 5541.44 g/cm^3
density = 0.3555 g/cm^3
However, as the measurements provided have a degree of uncertainty, we should consider bounds to find the range of possible densities.
The lower bound for the length is 13.2 cm - 0.1 cm = 13.1 cm
The upper bound for the length is 13.2 cm + 0.1 cm = 13.3 cm
The lower bound for the width is 16.0 cm - 0.1 cm = 15.9 cm
The upper bound for the width is 16.0 cm + 0.1 cm = 16.1 cm
The lower bound for the height is 21.7 cm - 0.1 cm = 21.6 cm
The upper bound for the height is 21.7 cm + 0.1 cm = 21.8 cm
The lower bound for the mass is 1970 g - 5 g = 1965 g
The upper bound for the mass is 1970 g + 5 g = 1975 g
We can now use these bounds to calculate the range of possible densities:
Density lower bound = 1965 g / (13.3 cm x 16.1 cm x 21.8 cm) = 0.350 g/cm^3
Density upper bound = 1975 g / (13.1 cm x 15.9 cm x 21.6 cm) = 0.360 g/cm^3
So the density of the wood is between 0.35 and 0.36 g/cm^3 to one decimal place.
So the density is 0.35 g/cm^3 with an uncertainty of 0.01 g/cm^3
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Can someone please answer // Find the central angle given that the measure of the arc is 200°
Answer:
ly/3gVQKw3
Step-by-step explanation:
DON'T PRESS ON THAT LINK PLZ
Find the midpoint of the line segment with end coordinates of:
(
−
4
,
−
2
)
and
(
−
2
,
−
10
)
Answer:
this is the answer (-3,-6)
Is 10 an even number?
Yes, 10 is an even number because 10 is completely divisible by 2 that's why it is an even number.10 modulo 2 equals zero.
let's first try to understand what are numbers.
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers
a helpful collection of numbers
that reflects the number's algebraic and mathematical structure.
offers a common depiction.
Even numbers An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.
So 10 is an even number.
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Find the measure of the exterior 21.
60°
7
25
Answer:
A 85 hope it helps you
thank you
round your answer to the nearest hundredth.
9514 1404 393
Answer:
4.28
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
Here, we're given the side opposite the angle, and we want to find the side adjacent to the angle. The relevant trig function is ...
Tan = Opposite/Adjacent
Filling in the given values and solving for the adjacent side, we have ...
tan(35°) = 3/?
? = 3/tan(35°) . . . . . . multiply by ?/tan(35°)
? ≈ 4.28
AC is about 4.28 units long.
Mr.Rotich decided to honour top 3 students in Mathematics by sharing sh 12000 in the ratio 6:5:x for the first,second and third student respectively.if student number 2 got sh 4000,find the value of x
Answer:
4
Step-by-step explanation:
Given data
Number of student= 3
Total amount= 12000
Ratio= 6:5:x
Combined ratio= 6+5+x= 11+x
Applying the part to all method
if student number 2 got sh 4000
then
5/11+x= 4000/12000
5/11+x= 1/3
cross multiply
11+x= 15
x= 15-11
x= 4
Hence the value of x is 4
Which of these expressions is equivalent to log (15/7)
Answer:
log(15)-log(7)
Step-by-step explanation:
just trust me cuh
3
1
3
19 -3
to get 75 13)?
Which matrix post multiplies to
4
Answer:
Please dont delete
Explanation:
Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!
Let x represent the number of years since 1990. Let y represent the sport utility vehicle sales in millions. Write the slope-intercept form of the equation for the line of fit using the points representing 1992 and 2000.
Answer:
278.33X - 553.34222
Step-by-step explanation:
Given the data:
Year, X :
1992
1993
1994
1995
1996
1997
1998
1999
2000
Sales, Y:
1.2
1.4
1.6
1.8
2.2
2.5
2.8
3.0
3.4
Using a linear regression calculator, the regression fit model for the data is
Y = 278.33X - 553.34222
Where, Y = sales in Millions
x = year
Help please!!! Fine the inverse for each relation
Answer:
1. (-3,1) (3,-2) (1,5) (4,6) 2. (7,-5) (-8, -6) (-2,1) (3,10)
Step-by-step explanation:
To find the inverse of ordered pairs you need to switch their orders. For example, given (-2, 5) and told to find the inverse, your answer would be (5, -2).
Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x
Answer:
y=7/2 and x=6
Step-by-step explanation:
2x−6y=−2y−2 can be turned into x=2y−1.
Now you can substitute the equations.
−6x−4y=−2x−38
−6(2y−1)−4y=−2(2y−1)−38
Then you can simplify.
−12y+6=−36
−12y=−42
y=7/2
Then you can substitute y to find x.
x=2y−1
x=2(7/2)-1
x=6
And then our answers are y=7/2 and x=6.
Hope this helped! :)
Put one pair of bracket into this calculation to make it correct.
7 x 5 - 2 + 3 = 42
The equation becomes true if we put brackets in the following way:
7x(5 - 2 + 3) = 42
Where do we need to put the bracket?Here we have the expression:
7x5 - 2 + 3 = 42
And we want to find where we need to put brackets in such a way that the equation becomes true.
If we solve the equation as it is, we will get:
7x5 - 2 + 3 = 42
35 - 2 + 3 = 42
36 = 42
Now, let's return to the equation:
7x5 - 2 + 3 = 42
If we put one pair of brackets that includes from the 5 to the 3, we will get:
7x(5 - 2 + 3) = 42
7x(4) = 42
42 = 42
So the equation becomes true.
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What is the 7th term of the geometric sequence where a1 = −4,096 and a4 = 64? (6 points)
Answer:
7th term is -1
Step-by-step explanation:
Mathematically, we have the nth term of a geometric sequence as:
Tn = ar^(n-1)
where a is the first term
n is the number of terms
T4 = ar^3
64 = -4096 * r^3
r^3 = -64/4096
r^3 = -1/64
r^3 = (-1/4)^3
r = -1/4
The 7th term is:
T7 = ar^6
T7 = -4,096 * (-1/4)^6
T7 = -1
The 7th term is -1
Find the difference of (2x2 – 5x + 7) - (7x2 + 3)
Answer:
[tex]{\small{\boxed{\sf{\red{here \: is \: your \: solution..}}}}} \\ \\ {\small{\boxed{\sf{\purple{ = (2x {}^{2} - 5x + 7) - (7x {}^{2} + 3) }}}}} \\ \\ {\small{\boxed{\sf{\purple{ = 2x {}^{2}- 5x + 7 - 7x {}^{2} - 3 }}}}} \\ \\ {\small{\boxed{\sf{\pink{ = - 5x {}^{2} - 5x + 4 }}}}} \\ \\ [/tex]
[tex]\small\mathfrak\green{hope \: it \: helps... |...| }[/tex]
Which of these leg lengths on a right triangle would create a hypotenuse length of √13?
Answer:
A
Step-by-step explanation:
2^2 and 3^2 = 4 + 9 = 13
Which triangle is triangle MNO similar to and why?
Answer:
triangle GHK
Step-by-step explanation:
angles add up to 180
angle N + angle M + angle O = 180
79 + 22 + angle N = 180
180 - 79 -22 = angle N = 79
triangle GHK has 2 of the same angles (79 and 79), so that is our answer
combine like terms:
Answer:
20x²
-5xy
14y²
Step-by-step explanation:
17x² + 3x² = 20x²
-3xy - 2xy = -5xy
14y²
Aiden bought 2 iPads for a total of $480. At this rate, what is the cost of 3 iPads?
Answer:
The cost of three would be $720.
Step-by-step explanation:
First you need to divide 480 by 2 which gives you 240. 240 is the cost of one iPad so 240 times 3 is 720.
Answer:
$720.Step-by-step explanation:
Karleebordelon6 has a wonderful answer, but I will provide a slightly different approach.
This can be solved by using proportions.
Take a look:
[tex]\frac{2 (ipads)}{480 (dollars)} =\frac{3 (ipads)}{x}[/tex]
After setting up the proportion, we can cross multiply.
[tex]480 * 3 = 1440\\[/tex]
[tex]2 *x = 2x[/tex]
Lastly, divide both products.
[tex]2x = 1440[/tex]
[tex]1440/2 = 720[/tex]
Therefore, the total cost of 3 iPads is $720.
In other words, x = 720.
[tex]\frac{2(ipads)}{480(dollars)} =\frac{3( ipads)}{720(dollars)}[/tex]
Thank you to whoever helps <3
Find the surface area and volume for this following pyramid
We calculated volume of pyramid = 160 cubic inches and surface area = 214.59 square inches.
what is pyramid?
A three-dimensional geometrical figure having flat polygon base along with a number of lateral triangular shaped faces.
How to calculate the volume and surface area of the pyramid?The given pyramid is a rectangular pyramid having length 10 inch and width 8 inch. The height of pyramid is 6 inches.
length, l = 10 inch
width, w = 8 inch
height, h = 6 inch
Now the volume will be, V = 1/3 × l × w ×h
V = 1/3 × 10 × 8× 6
hence, the volume = 160 cubic inches
We calculate the surface area of the given pyramid,
formula for surface area, SA = l × w + 1/2 × w ×√(4h²+l²) + 1/2 × l ×√(4h²+w²)
SA = 10 × 8 + 1/2 × 8 ×√(4×6²+10²) + 1/2 ×10×√(4×16²+8²)
Surface area = 214.593 square inches
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I really need help on this. 22 points if you get it!!
The value of angle x in the triangle shown is 78°
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
A triangle is a polygon that has three sides and three angles. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, scalene, equilateral
In the large triangle let the missing angle by y, hence:
y + 87 + 36 = 180 (sum of angle in a triangle)
y = 57°
In the triangle containing the angle 45, let the missing angle be z, hence:
z + y + 45 = 180 (angle in a triangle)
z + 57 + 45 = 180
z = 78°
x = z (corresponding angles are equal)
x = 78°
The value of x is 78°
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What is the sum of interior angles of triangle?
a) 360°
b) 100°
c) 180°
d) 200°
Answer:
c) 180
Step-by-step explanation:
each angle of the triangle is 90
Answer:
the answer is c. 180° :))