Under his cell phone plan, Noah pays a flat cost of $66.50 per month and $4 per gigabyte. He wants to keep his bill under $80 per month. Which inequality can be used to determine gg, the maximum number of gigabytes Noah can use while staying within his budget?
Answers
Answer: gg < 3.375
Step-by-step explanation:
From the question, we are informed that Noah pays a flat cost of $66.50 per month and $4 per gigabyte and that he wants to keep his bill under $80 per month.
The inequality that can be used to determine gg, the maximum number of gigabytes Noah can use while staying within his budget will be:
66.50 + 4gg < 80
4gg < 80 - 66.50
4gg < 13.50
gg < 13.50/4
gg < 3.375
Related Questions
convert 8m 32 cm into centimeters
Answers
Answer:
832 cm one meter us equal to 100 cm so 8 multiply 100 plus 32 is equal to 832
Shelby made equal deposits at the beginning of every 3 months into an RRSP. At the end of 9 years, the fund had an accumulated value of $55,000. If the RRSP was earning 3.50\% compounded monthly, what was the size of the quarterly deposits? Round to the nearest cent
Answers
The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.
Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).
Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:
\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]
Simplifying the equation and solving for \(D\), we find:
\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]
Substituting the values into the formula, we get:
\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]
Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.
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Answer this math question and ill give you brainliest
Answers
Answer:
27
Step-by-step explanation:
bhdhdhhdhddfdfffjdudhfjf 27
given: line segment wz bisects line segment xy. line segment xy bisects line segment wz. to prove: triangles wax and zay are congruent. statements reasons 1. segment wz bisects xy. 1. given 2. segments xa and ya are congruent. 2. when a segment is bisected the resulting segments are congruent. 3. segment xy bisects wz. 3. given 4. 4. when a segment is bisected the resulting segments are congruent. 5. angles wax and zay are congruent. 5. vertical angles of intersecting lines are congruent. 6. triangles wax and zay are congruent. 6. triangles with two sides and an included angle equal are congruent. what should be in statement 4 to complete the proof? a angles xwa and yza are congruent. b segments wa and az are congruent. c segments wx and yz are congruent. d angles wxa and zya are congruent.
Answers
This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.
What are angles?When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
When two lines meet at a point, an angle is created.
An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.
Angles are a common occurrence in daily life.
Angles are used by engineers and architects to create highways, structures, and sports venues.
Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.
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The area of a square is 49 square inches or less. Which set describes the domain for s, the
length of one side of the square?
Answers
Step-by-step explanation:
Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.
\(0 \leqslant x \leqslant 7\)
Find the missing value. Original price: $32 Discount: ? Sale Prince: $8
Answers
Answer:
75% off
Step-by-step explanation:
Elisa withdrew $23 at a time from her bank account and withdrew a total of $207. Frances withdrew $43 at a time from his bank account and withdrew a total of $172. Who made the greater number of withdrew
Answers
Answer: Elisa
Step-by-step explanation:
Since Elisa withdrew $23 at a time from her bank account and withdrew a total of $207, the number of times that Elisa withdrew will be:
= $207/$23
= 9 times
Since Frances withdrew $43 at a time from his bank account and withdrew a total of $172, the number of times that Frances withdrew will be:
= $172/$43
= 4 times.
Based on the calculations, we can see that Elisa made the greater number of withdrawal.
Find the volume of the composite solid. Round your answer to the nearest hundredth. 5.1m, 5.1m, 5.1m. GIVE BRAINLIEST TO WHOEVER ANSWERS
Answers
The volume of the composite solid is 132.65 \(m^3\)
A composite solid's volume is the total amount of space it takes up. It is computed either by disassembling it into simpler shapes or by adding up the volume of each of its constituent parts. Adding or subtracting volumes of various geometric shapes may be part of the calculation process, which depends on the solid's specific composition.
Each component's volume can be calculated using the volume formulas for simple shapes like cubes, spheres, cylinders, and cones, and the overall volume of the composite solid can then be calculated.
To find the volume of the composite solid:
1. Identify the shape of the solid: Since all three dimensions (5.1m, 5.1m, and 5.1m) are equal, this is a cube.
2. Calculate the volume: The formula for the volume of a cube is V = \(side^3\)3, where "side" is the length of one side.
3. Plug in the dimensions: V = \((5.1m)^3\)= 5.1m * 5.1m * 5.1m =\(132.651m^3\).
4. Round to the nearest hundredth: The volume rounded to the nearest hundredth is \(132.65 m^3\).
So, the volume of the composite solid is \(132.65 m^3\).
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Find the common difference of the arithmetic sequence -11,-17,-23....
Answers
Answer:
d = - 6
Step-by-step explanation:
the common difference d is the difference between consecutive terms in the sequence.
- 17 - (- 11) = - 17 + 11 = - 6
- 23 - (- 17) = - 23 + 17 =- 6
the common difference d = - 6
Kono Dio da I cant do maths
Answers
Answer:
The anwser your looking for is A
Answer:
answer is A
Step-by-step explanation:
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Simplify the following surd expressions
a) 7/3 - 2/3 + V3 - 3V3
Answers
Answer:
\(\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}\)
Step-by-step explanation:
Given the expression
\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3\)
solving the expression
\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}\)
combine the fractions i.e \(\frac{7}{3}-\frac{2}{3}=\frac{5}{3}\)
\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}\)
add similar elements i.e \(\sqrt{3}-3\sqrt{3}=-2\sqrt{3}\)
\(=\frac{5}{3}-2\sqrt{3}\)
Thus,
\(\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}\)
rearrange the equation so X is the independent variable.
\( - 4x - 6 = 5y + 9\)
Answers
Answer:
\(x=-1.25y-3.75\)
Step-by-step explanation:
try adding 6 to both sides
-4x=5y+15
try dividing both sides by -4
x=-1.25y-3.75
what would be the measure of angle A?
A. 70 degrees
B. 79 degrees
C. 55 degrees
D. 44 degrees
Answers
Answer:
D because that is the smallest angle on there baby doll
Step-by-step explanation:
have a nice day sugar bear
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
4x + 8x - 9 + 57 = 180, that is
12x + 48 = 180 ( subtract 48 from both sides )
12x = 132 ( divide both sides by 12 )
x = 11
Thus
∠ A = 4x = 4 × 11 = 44° → D
pls help asap screenshot also posted- Which expression is equivalent to the given expression? 180‾‾‾‾√⋅230‾‾
Answers
The expression √180 * 2√30 is equivalent to the expression 60√6
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
The square root is a factor of a number that, when multiplied by itself, gives the original number.
Given the expression √180 * 2√30
Collecting like terms give:
= 2√(180 * 30)
Simplifying:
= 60√6
The expression √180 * 2√30 is equivalent to the expression 60√6
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The measure of ∠N is (15x +47) °. If x=8, find the measure of∠N, then classify the angle
Answers
So 167 degrees it’s an obtuse angle
Which of the following situations are equal to 30%? Select all that apply A) 27 out of 90 B) 12 out of 36 C) 50 out of 80 D) 9 out of 30 E) 6 out of 24
Answers
Answer:
27 out of 90; 9 out of 30
Helpppppppppppppppppppppppppp
Answers
Answer:
3:1
Step-by-step explanation:
There are 3 birch trees and one willow tree
A flagpole has two wires attached to it, one of each side, that are tethered to the ground. Wire 1 makes a 41 degree angle with the ground, and is attached to a point 34 feet from the base of the pole. Wire 2 makes a 38 degree angle with the pole. A: How tall is the pole? B: How far from the base of the pole does wire 2 attach to the ground?. C: How long is wire 1?
Answers
In the diagram above we can see that we are asked to determine the value of "h", that is the height of the pole. To do that we will use the function tangent which is defined as:
\(\tan \theta=\frac{opposite}{\text{adjacent}}\)Replacing the values:
\(\tan 41=\frac{h}{34}\)Solving for "h" we get:
\(34\tan 41=h\)Solving the operations we get:
\(29.6=h\)Therefore, the height of the pole is 29.6 feet.
Now we are asked to determine the distance from the base of wire 2. To do that we will use the function tangent for wire 2:
\(\tan 38=\frac{h}{b}\)Now we solve for "b" first by multiplying both sides by "b":
\(b\tan 38=h\)Now we divide both sides by tan38:
\(b=\frac{h}{\tan 38}\)Replacing the value of "h":
\(b=\frac{29.6}{\tan 38}\)Solving the operations:
\(b=37.9\)Therefore, the distance from the base of wire 2 is 37.9 feet.
Now we are asked to determine the longitude "L" of wire 1, to do that we will use the function cosine, which is defined as:
\(\cos \theta=\frac{adjacent}{hypotenuse}\)Replacing the values:
\(\cos 41=\frac{34}{L}\)Now we solve for "L", first by multiplying by "L":
\(L\cos 41=34\)Now we divide both sides by cos41:
\(L=\frac{34}{\cos 41}\)Solving the operations:
\(L=45.1\)Therefore, the longitude of wire 1 is 45.1 feet.
What is the interquartile range of the following data set? 30, 26, 28, 32, 28, 30
A. 6
B. 0
C. 4
D. 2
Answers
The correct answer is 2.
Thank you.
Helpppppppppp :) please y’all question 3 and 4
Answers
Answer:
3) = C (0.505)
4) = B (4.32 kilograms)
Step-by-step explanation:
0.505 is in-between 0.482 and 0.51
1.08 X 4 = 4.32
Answer:
3. C. 0.505 gram
4. B. 4.32 kilograms
what is the probabiluity that in a random sample of 500 adults more than 30 percent do not own a credit card
Answers
Using p-hat formula and probability,
we get
a) Sampling distribution of p-hat = 0.02029286
b)The probability that in a random sample of 500 adults more than 30% do not own a credit card is
=0.3121
c) The probability that in a random sample of 500 adults between 25% and 30% do not own a credit card is 0.6635
We have given that
29% of adults do not own a credit card according to creditcard.com.
a) Sample size (n) = 500 of adults have own credit card
sample proportion, for the adults do not own a credit= 29% = 0.29
Normal distribution exits here with p
= 1-0.29=0.71 and
Standard error (p-hat) =sqrt(p(1-p)/n)
=sqrt(0.71× 0.29/500)
p-hat = 0.02029286
b) Now, more than 30% do not have own credit card.
P(p-hat>0.3) = P((phat- p)/sqrt(p×(1-p)/n) >(0.3-0.29)/sqrt(0.29× (1-0.29)/500))
=P(Z>0.49) =0.3121 (from standard normal table)
c) Sample size (n) = 500 and p-hat lies between 25% to 30% .
P(0.25<phat<0.3)
= P((0.25-0.29)/sqrt(0.29*(1-0.29)/500) <Z< (0.3-0.29)/sqrt(0.29*(1-0.29)/500))
=P(-1.97<Z<0.49)
=0.6635 (from standard normal table)
Hence, we calculated all the required probabilities.
a) p-hat = 0.02029286
b) P(p-hat>0.3) =0.3121
c) P(0.25<phat<0.3) =0.6635
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Complete question:
According to creditcard.com, 29% of adults do not own a credit card.
a. Suppose a random sample of 500 adults is asked, "Do you own a credit card?" Describe the sampling distribution of p-hat, the proportion of adults who own a credit card.
b. What is the probability that in a random sample of 500 adults more than 30% do not own a credit card?
c. What is the probability that in a random sample of 500 adults between 25% and 30% do not own a credit card?
in subscript 4 200 = what
Answers
Answer:
8
Step-by-step explanation:
200 ×4=800
OR
200+200+200+200=800
Darian drove 274.5 miles in 4.5 hours. What was his average speed (mph)?
Answers
Answer:
61 mph consistently
Step-by-step explanation:
4.5/0.5 = 9 = 30 min
274.5/9 = 30.5 = speed in half an hour.
30.5 x 2 = 61 = consistent speed for an hour.
Solve for x
Show work please
Answers
Answer:
\(\tt x=5\)
Step-by-step explanation:
\(\tt 18x-5=13x+4x+1-11\)
\(\tt 18x-17x=15-10\)
\(\tt x=5\)
~
(2.4 x 10 ^- 4) (1.6 x 10^-5)
Answers
The given expression is:
\((2.4\text{ }\times10^{-4})(1.6\text{ }\times10^{-5})\)This can be simplified as:
\(2.4\text{ }\times\text{ 1.6 }\times10^{-4}\times10^{-5}\)\(\text{Note that a}^b\times a^c=a^{b+c}\)Therefore, the above expression can be further simplified as:
\(\begin{gathered} 3.84\text{ }\times10^{-4-5} \\ 3.84\text{ }\times10^{-9} \end{gathered}\)Juan manages a restaurant which is currently hiring. On Tuesday he interviewed 3 waiters, 2 chefs, and 4 dishwashers. On Wednesday he interviewed 4 waiters, 4 chefs, and 4 dishwashers. Each day one woman applied for a job while the rest were men. What is the probability that the woman shared the same profession?
Answers
Probability helps us to know the chances of an event occurring. The probability that the woman shared the same profession is 0.334.
What is Probability?Probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
The probability of both being a waiter is,
P(Both Waiter) = (3/9)×(4/12) = 1/9
The probability of both being chefs,
P(Both Chef) = (2/9)×(4/12) = 2/27
The probability of both being a Dishwashers,
P(Both Dishwasher) = (4/9)×(4/12) = 4/27
Thus, the probability that the woman shared the same profession is,
Probability = P(Both Waiter) + P(Both Chef) + P(Both Dishwasher) = 0.33
Hence, the probability that the woman shared the same profession is 0.334.
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The subject of the formula below is y.
a=4x/t - p
Rearrange the f make x the subject.
Answers
Answer:
x = t(a+p)/4
Step-by-step explanation
Given the expression
a=4x/t - p
We are to make x the subject of the formula
a=4x/t - p
Add p to both sides
a+p = 4x/t - p+p
a+p = 4x/t
Cross multiply
t(a+p) = 4x
Rearrange
4x = t(a+p)
Divide both sides by 4
4x/4 = t(a+p)/4
x = t(a+p)/4
Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 5x + 2. The east edge cannot intersect with the west edge. On which line could the east edge be located? (1 point)
−y − 5x = 100
y + 5x = 100
−5x − y = 50
5x − y = 50
Answers
Based on the analysis, the east edge of the basketball court could be located on the line given by either −y − 5x = 100, y + 5x = 100, or −5x − y = 50, as these lines do not intersect with the west edge.
To determine on which line the east edge of the basketball court could be located, we need to find a line that does not intersect with the west edge represented by the equation y = 5x + 2.
The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.
Comparing the equation y = 5x + 2 with the given options, we can observe that the slope of the west edge is 5.
Now let's analyze the options:
Option 1: −y − 5x = 100
By rearranging the equation to slope-intercept form, we get y = -5x - 100. The slope of this line is -5, which is not equal to the slope of the west edge (5).
Therefore, this line could be the east edge of the basketball court since it does not intersect with the west edge.
Option 2: y + 5x = 100
Rearranging the equation to slope-intercept form, we get y = -5x + 100. The slope of this line is -5, which is not equal to the slope of the west edge (5).
Thus, this line could be the east edge of the basketball court since it does not intersect with the west edge.
Option 3: −5x − y = 50
Rearranging the equation to slope-intercept form, we get y = -5x - 50. The slope of this line is -5, which is not equal to the slope of the west edge (5).
Hence, this line could be the east edge of the basketball court since it does not intersect with the west edge.
Option 4: 5x − y = 50
By rearranging the equation to slope-intercept form, we get y = 5x - 50. The slope of this line is 5, which is equal to the slope of the west edge (5).
Therefore, this line cannot be the east edge of the basketball court as it intersects with the west edge.
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Which of the following is the function for the graph shown?
Answers
Answer: A. \(y = x^{2} + 6x + 8\)
Step-by-step explanation:
You can plug in the know point of (-3, -1) to each equation to see which one fits. The correct one in this case is \(y = x^{2} + 6x + 8\)
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 411.0 gram setting. it is believed that the machine is underfilling the bags. a 35 bag sample had a mean of 406.0 grams. a level of significance of 0.05 will be used. state the hypotheses. assume the standard deviation is known to be 25.0.
Answers
Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.
To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.
Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)
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