The data plan that has the cheapest deal is given by the ratio of the data
plan price to the GB allocated.
The deal that has the cheapest price per GB is B. Prepaid Single Phone Plan $45 for 16 GB.The given phone data plans are;
[tex]\begin{tabular}{|l|cl|}&Prepaid Single Phone Plan&Prepaid Family Plan\\ a&\$30 for 1 GB &\$30 for 1 GB\\b& \$35 for 6 GB & \$40 for 6 GB\\ c&\$45 for 16 GB&\$50 for 16 GB\\d & \$65 for Unlimited Data & \$70 for Unlimited Data\end{array}\right][/tex]
The price per GB are;
Plan a = $30 ÷ 1 = $30 per GB
Plan b = $35 ÷ 6 = $5.8[tex]\overline 3[/tex] per GB and $40÷ 6 = $6.[tex]\overline 6[/tex] per GB for Family Plan
Plan c = 45 ÷ 16 = $2.8125 per GB and $3.125 per GB
Plan d = $65 for Unlimited Data = 65 ÷ ∞ ≈ 0; $70 for Unlimited Data = 0
Therefore, the plan with the cheapest price per GB from the given option is option B. Prepaid Single Phone Plan $45 for 16 GB.
Learn more about ratios here:
https://brainly.com/question/10705874
The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomial? â€"2yz2 â€" 4y 7 â€"2yz2 â€" 3y 1 â€"5yz2 3z2 â€" 3y 1 3yz2 â€" 3z2 â€" 5y 7.
The sum of polynomials involves adding the polynomials
The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
The sum of the polynomials is given as:
[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]
One of the polynomials is given as:
[tex]P = 4y^2 - 3[/tex]
Represent the other polynomial with Q.
So, we have:
[tex]P +Q =Sum[/tex]
Substitute the expressions for P and Sum
[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]
Make Q the subject
[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]
Evaluate like terms
[tex]Q =y^3 -y^2+ 4y - 1[/tex]
Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
Read more about polynomials at:
https://brainly.com/question/1487158
the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is
Answer:
20%
Step-by-step explanation:
The percentage change is the difference divided by the original amount, expressed as a percentage.
(30 -25)/25 × 100% = 20%
Production increased by 20%.
which ratios make up a proportion
Answer:
2nd option
Step-by-step explanation:
The ratios on both sides must be equal
[tex]\frac{15}{6}[/tex] ( divide numerator/ denominator by 3 )
= [tex]\frac{5}{2}[/tex] ≠ [tex]\frac{3}{2}[/tex] , then not a proportion
[tex]\frac{4}{5}[/tex] ( multiply numerator/ denominator by 3 )
= [tex]\frac{12}{15}[/tex] , this is a proportion
[tex]\frac{9}{21}[/tex] ( divide numerator/ denominator by 3 )
= [tex]\frac{3}{7}[/tex] ≠ [tex]\frac{6}{7}[/tex] , then not a proportion
[tex]\frac{10}{16}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{5}{8}[/tex] ≠ [tex]\frac{2}{8}[/tex] , then not a proportion
Answer:
1. 18/8
2. 16/20
3. 15/28
4. 12/24
Pleaseee help meeee
Answer: A.
Step-by-step explanation:
This is the only option in which the terms are ordered from least to greatest.
Therefore, A is the correct answer.
Use the Associative Property to write and expression equivalent to (w+9)+3.
Please use your explanation.
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
Solution:
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
Associative property:-
[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]
Now
[tex]\\ \sf\longmapsto (w+9)+3[/tex]
[tex]\\ \sf\longmapsto 3+(w+9)[/tex]
Calculate the measure of the major arc MPN.
Answer:
310°
Step-by-step explanation:
The sum of arcs around a circle is 360°.
MPN +MN = 360°
MPN = 360° -MN . . . . . . . . subtract MN
MPN = 360° -50° = 310° . . . fill in the given value
The measure of major arc MPN is 310°.
i need help with this!!
Answer:
[tex]x<-4[/tex]
Step-by-step explanation:
[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]
Apply the fraction rule
[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]
12 in. to 36 in. increase in percent or decrease?
Answer:
33.3333%
Step-by-step explanation:
Answer:
12/36=0.333+
it decrease
13=2m+5
m = ?
help me pls
Answer:
m=4
Step-by-step explanation:
Answer:
The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha
Step-by-step explanation:
13-5 = 2m + 5 - 5 (Subtract 5 from both sides of the equation)
8 = 2m (Simplify)
8/2 = 2m/2 ( Divide both sides of the equation by the same term)
m= 4 (Solution)
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x=4.225
Step-by-step explanation:
You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...
Solve the system of equations. y=x-5; y=x^2-5x+3
[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]
5. PRACTICE E Use Math Tools There were 242 fish in 22 fish
tanks at the pet store. If there were an equal number of fish in
each fish tank, how many fish were in each tank? Draw models
to find the quotient.
Answer:
There is 11 fish in each fish tank
Step-by-step explanation:
242 total fish
divided into 22 fish tanks
242÷22=11
Draw 11 fish in each of the 22 fish tanks
M=7 v=32 p=mv solve for P
I really really need help on this
Answer:
since m=7 and v=32
p= 7• 32
p= 224
Help me please i’ll give brainliest!
Can i get some help :
Answer:
the second
Step-by-step explanation:
Answer:
0.9 + n = 5.2
Step-by-step explanation:
f(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 Find f(x)/g(x)
A).x&5/2+6x&3/2-1
B).(x^5+6x^3+1)^1/2
C).x^5/2+6x^3/2+1
D).x^3/2+6x+x^1/4
E).x^3/2-6x+x^1/4
Answer:
C) x^5/2 +6x^3/2 +1
Step-by-step explanation:
The relevant rule of exponents is ...
a^b/a^c = a^(b-c)
__
[tex]\dfrac{x^3+6x^2+x^{1/2}}{x^{1/2}}=x^{3-1/2}+6x^{2-1/2}+x^{1/2-1/2}=\boxed{x^{5/2}+6x^{3/2}+1}[/tex]
is -2x+3 the same as 2x-3
Answer:
no they are different numbers, however their signs are inverted
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...
-2x+3 = 10 2x-3 = 10
-3 -3 +3 +3
------------------ -----------------
-2x = 7 2x = 13
x = [tex]\frac{7}{2}[/tex] x = [tex]\frac{13}{2}[/tex]
x = 3.5 x = 6.5
As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.
Hope this helps! :D
what would the equation be?
Answer:
y = -2x + 30
Step-by-step explanation:
Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30
Brainliest would be appreciated. :-)
How do you graph x less than -3 1/2
Answer:
Graph attached
Step-by-step explanation:
A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34. Which of the following values is outside the 99% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58 Remember, the margin of error, ME, can be determined using the formula M E = StartFraction z times s Over StartRoot n EndRoot EndFraction. The value of 135 because it is not greater than 136. 5 the value of 137 because it is greater than 136. 5 the value of 138 because it is less than 153. 2 the value of 154 because it is greater than 153. 2.
The correct option is ''The value of 135 because it is not greater than 136.5 values is outside the 99% confidence interval for the population mean''
Given that,A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.
We have to find,Which of the following values is outside the 99% confidence interval for the population mean?
According to the question,A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.
Sample space n = 85,
Mean = 146
And standard deviation = 34
Then, The standard error of the sample is,
[tex]= \dfrac{\sigma}{n}\\\\= \dfrac{34}{\sqrt{85}}\\\\= \dfrac{34}{9.21}\\\\= 3.6[/tex]
Then, z-critical value for 99% is 2.58,
Margin of error = ±9.515
Confidence interval for lower bound is,
= 146 - 9.515 = 136.485
And confidence interval upper bound is,
= 146 + 9.515 = 155.515
Here, 135 is less than the lower bound,
Therefore, 135 does not lie within a 99% confidence interval.
For more details about Lower bound refer to the link given below.
https://brainly.com/question/15974739
Answer:
Answer is
the value of 135
Step-by-step explanation:
just in case some of u have different lettered answers your A may be C so i just give the numerical answer lol its easier
Solve the equation for x. 1 2 x − 6 = 8 A) x = −7 B) x = −7 C) x = 14 D) x = 28
Answer:
X = 7
Explanation
2x-6=8
2x=6+8
2x=14
2x/2 = 14/2
x = 7
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
Additional comment
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
Answer:
This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3
Simplify completely
x2 + 12x +35
3x + 15
[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]
look at the right angle triangle ABC 75
Answer:
A and B are equal to 52.5°
Step-by-step explanation:
One angle has to be 75°, so let's say that angle C is 75°. You need to subtract 75 from 180, which is 105°. Now, divide 105° by 2, which equals 52.5. Your answer is: Angles A and B are both equal to 52.5
The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature of the water after 15 minutes?
Answer:
The temperature of the liquid 15 minutes later is [tex]151.5[/tex]
Step-by-step explanation:
This is an example of arithmetic progression
We need to find 15 th term
Here
[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]
solve -(-7x+9)+(3x-1)=0
Answer: x = 1
Step-by-step explanation:
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
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
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:
A
Step-by-step explanation:
BECAUSE ITS EZ
answer this question attached please
Answer:
30 degree
Step-by-step explanation:
sum of the interior angles of a hexagon=720degree
one angle of the hexagon=720/6=120degree
one angle of the rhombus=90 degree
therefore, x=120-90=30
Help for 100 points if correct
Saved:-
[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]
[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]
Answer:
[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]
Step-by-step explanation:
Subtract the used volume of punch from the starting volume of punch.
Convert the mixed number to an improper fraction:
[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]
Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:
[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]
[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]
Convert back into a mixed number:
[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]