The cell phone plan is an illustration of a linear inequality
Adrian gigabyte usage must be less than 2.1 to spend under $70.
How to determine the number of gigabytes within budget?The given parameters are:
Base cost = $59.50
Rate = $5 per gigabyte
Let the number of gigabyte be x.
So, the total amount is:
Total = 59.50 + 5x
Adrian wants to spend under $70.
So, we have:
59.50 + 5x < 70
Evaluate the like terms
5x < 10.5
Divide both sides by 5
x < 2.1
Hence, the number of gigabyte must be less than 2.1
Read more about linear inequalities at:
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A department store buys 300 shirts at a cost of $8,100 and sells them at a selling price of $30 each. Find the percent markup.
Answer:
11.11%
Step-by-step explanation:
C.P = $8,100
S.P =$30 ×300
=$9,000
Markup = $9000-$8100
=$900
% markup = 900/8100 × 100
=11.11%
2. Which exponential function matches the
values in the table below?
х
3
4
5
4,096
32,768
| f(x) 512
A f(x) = x8
B f(x) = 8*
C f(x) = 64(2)*
D f(x) = 8x
Answer:
B. f(x) = 8*
Step-by-step explanation:
putting the value given in table
=> 512 = 8³
=> 512 = 512
=> 5,096 = 8⁴
=> 5,096 = 5,096
=> 32,768 = 8⁵
=> 32,768 = 32,768
so, it's B f(x) = 8*
Answer:
The answer is B) f(x)=8^x
A son is one half as old as his father. The some other ages is 72 years. What is the age of each?
Answer:
The son is 24 and the father is 48
Step-by-step explanation:
If you let x = the age of the child, then the father is 2x old since the father is twice as old as the son. The sum of their ages would be 1x + 2x which simplifies to 3x.
Since the problem gives the total of their ages as 72, we know that 3x = 72.
Dividing both sides by 3, we get x = 24, which we said was the age of the child.
Since the age of the father is 2x, we can say that 2x = 2(24), or 2x = 48 for the age of the father.
A square has side lengths of 1 meter. What is the area of the square?
Answer:
4 meters
Step-by-step explanation:
A square has four sides, therefore four times one is 4.
-(x+4)+3x=1=2x+5 distributive propert
Answer:
=5(9)+6+1. =45+7 =52
=52.move the x with the negative exponent into the denominator and change the sign. 1,3x'y+2xy-5y.solve when x = - 2;y = 3
Step-by-step explanation:
Jack has $1,331 in an account that earns 5% interest compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
$1540.80
Step-by-step explanation:
Answer: 1540.80
Step-by-step explanation: i got it right on my ixl
Help please an explanation would be appreciated!!
An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 21.6-foot wall that has been built is 6 inches long on the blueprint. What is the scale for this blueprint?
A. 1 in. : 3.6 ft.
B. 1 in. : 6.3 ft.
C. 1 in. : 36 ft.
D. 1 in. : 63 ft.
Answer:
The answer is - A. 1 in. : 3.6 ft.
Step-by-step explanation:
In order to get the scale on the blueprint we just have to divide the measure in real time by the number of the blueprint, if we know that there´s a wall that is 21.6 feet long, and in the blue print is 6 inches long we just divide it:
scale: 21.6/6
scale: 3.6
So, now we know that for every inch in the blueprint there has to be 3.6 feet on the real construction.
(I hope I helped you)
Please help me with this please and thank you
Step-by-step explanation:
a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".
so,
6×r = 18
r = 18/6 = 3
and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.
a0 = 6
a1 = a0 × 3 = 6×3 = 18
a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54
an = a0 × 3^n = 6 × 3^n
so,
f(x) = 6×3^x, x is integer, x >=0
The flight of a javelin released six. 5 feet from the ground at an initial velocity of 68 ft./s is modeled by the function age equals 16 t^2+68t+6.5 where H is the height of the Javelin in feet after t seconds. When will the javelin hit the ground? Round to the nearest hundredth if necessary
The equation of the javelin path h(t) = -16t^2+68t+6.5 is a quadratic function
The javelin hits the ground after 4.344 seconds
How to determine when the javelin hits the ground?The equation of the javelin path is given as:
h(t) = -16t^2+68t+6.5
When it hits the ground, h(t) = 0.
So, we have:
-16t^2+68t+6.5 = 0
Using a graphing calculator, we have:
t = 4.344 and t = -0.094
Time cannot be negative.
So, we have:
t = 4.344
Hence, the javelin hits the ground after 4.344 seconds
Read more about quadratic functions at:
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What is the value of X in the following equation X/4 + 8 = 13
Thomas is rolling a fair six-sided number cube numbered from 1 to 6. The situation with a probability closest or equal to 0 is rolling a number
greater than 5
greater than 1
less than 9
less than 4
For a class activity, each student randomly chooses a number from 1 to 10. Which model shows the probability of choosing a multiple of 4?
2/8
2/10
8/2
10/2
Sonya is thinking of conducting a survey with her seventh-grade classmates. She knows she will need to use a sample of students in her survey. Which of the following surveys would not be valid with a sample of seventh-grade classmates?
theme for the seventh-grade Fun Night
bank that offer the most services
milk choices offered at lunch
best backpack for school
A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are replaced.
7/10
7/100
12/90
12/100
Find the probability of spinning the following. P(not 7)
1/7
1/8
7/8
4/8
The answers to your questions are as follows :
The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5. The model which shows the probability of choosing a multiple of 4 is: ( B ) [tex]\frac{2}{10}[/tex] (2/10)The only survey that would not be valid with a sample of seventh-grade classmates is : ( B ) Bank that offer the most services.The probability of choosing a red marble, then a white marble if the marbles are replaced is : ( A ) 7/10.The probability of spinning the following. P(not 7) = 7/8Meaning of ProbabilityProbability is a branch of mathematics that deals with the degree of occurrence of an event.
1) The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5.
Because: there is only one number greater than 5 in that list (which is 6)
2) The model which shows the probability of choosing a multiple of 4 is: ( B ) [tex]\frac{2}{10}[/tex] (2/10)
Because: there are only two multiples of 4 that can be picked from number 1-10
3) The only survey that would not be valid with a sample of seventh-grade classmates is : Bank that offer the most services.
Because: they are not working and might have little or no idea about banking services.
4) The probability of choosing a red marble, then a white marble if the marbles are replaced is : 7/10.
where the probability of picking a red marble is = [tex]\frac{3}{10}[/tex]
The probability of picking a white marble is = [tex]\frac{4}{10}[/tex]
since the marbles were replaced : [tex]\frac{3}{10}[/tex] + [tex]\frac{4}{10}[/tex] = [tex]\frac{7}{10}[/tex]
5) The probability of spinning the following. P(not 7) = 7/8
The probablity of picking a 7 is = [tex]\frac{1}{8}[/tex]
The probability of not is = 1 - probability of picking 7
1 - [tex]\frac{1}{8}[/tex] = [tex]\frac{7}{8}[/tex]
In conclusion, go the answers related to your questionare provided above for each question.
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Can someone please help me I will give y’all brainiest or whatever please
Answer:
c
Step-by-step explanation:
1 translates to 2 because it moves up and over
and 2 is a reflection of 3 because its a mirror image
Say thanks! I just did this because I have 1,633 points (Now 1,533 I think) SOOO first comes first served
Identify the z* critical value for constructing a confidence interval for one proportion using these confidence levels. You can reference the t distribution table to answer this question.
Enter each answer to 3 decimal places.
90% confidence:
95% confidence:
99% confidence:
The 90% confidence, 95% confidence and 99% confidence have a z critical value of 1.65, 1.96 and 2.58 respectively.
What is z score?The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
From the normal distribution table:
The z critical value for 90% confidence, 95% confidence and 99% confidence is 1.65, 1.96 and 2.58 respectively.
Find out more on z score at: https://brainly.com/question/25638875
Answer:
90% confidence:
1.645
95% confidence:
1.960
99% confidence:
2.576
Step-by-step explanation:
EDGE2022
The length of a rectangle is 4/5 of the width. The length of the rectangle is 3/5 meter. Which equation can be used to find w, the width of the rectangle in meters?
A 3/5w = 4/5
B 4/5w = 3/5
C 3/5 + w = 4/5
D 4/5 + w = 3/5
Answer:
B: 4/5w = 3/5
Step-by-step explanation:
The length of the rectangle is stated as being 4/5 of the w. (4/5 * w)
The length is also stated specifically as being 3/5m so that will equal 4/5w on the other side of the equation.
Bonus:
You could work out the equation as
4/5w = 3/5m
multiply by 5
4w = 3m
divide by 4
w = 0.75m (or 3/4m)
Brianna’s teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x−3x−4 Expression B: 12x−4 Expression C: 5x+x−4
Answer:
expression a and c
Step-by-step explanation:
A. 9x-3x-4 = 6x-4
C. 5x+x-4 = 6x-4
hope this helps
Answer:
Expression A and C
Step-by-step explanation:
When Expression A is simplified it is 6x - 4. And for Expression C you add 5x and x, and then it’s 6x - 4. That makes them the same expression. So your answer would be Expression A and C.
I hope it helps! Have a great day!
Muffin ^^
what is the difference in the length between the longest meter in the shortest meter
Answer:
1 5/8 inches
Step-by-step explanation:
Hey there!
The question is asking what the difference in the length between the longest meteor and the shortest meteor is.
In the chart, the smallest measurment is 2/8 and the largest is 1 7/8
So in order to solve this you need to subtract these two values
we can convert 1 7/8 to 15/8 to make the subtraction more simple
15/8-2/8=13/8 which is 1 5/8
So the difference between the longest and shortest meteor is 1 5/8 inch
Answer: 1 5/8.
Step-by-step explanation: The longest one is 1 7/8 and the shortest one is 2/8. Both are circled below. To figure this problem out, we need to find the difference of the longest and shortest meteors, also known as a subtraction problem. The work is done below:
1 7/8 - 2/8 = 1 5/8.
Hope this helps! :)
Draw the graph of the equation x+5y=6
Answer:
Step-by-step explanation:
Mayerlin has a mask collection of 400 masks. She keeps some in a display case and the rest on the wall. She keeps 24% of her masks in the display case. How many masks does she keep on her wall?
The number of masks that Mayerlin kept on her wall given the information in the question is 304.
What are percentages?Percentage is the fraction of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.
How many masks are on the wall?Percentage of the masks on the wall = 100 - 24 = 76%
Number of the masks on the wall = 76% x 400 = 304
To learn more about percentages, please check: https://brainly.com/question/25764815
8. What is m<1
77
1
56
A 103°
| C 133°
C °
D 124°
B 47°
Answer:
Option C
Step-by-step explanation:
Exteriore angle property: Exterior angle equals the sum of opposite interior angles.
∠I = 77° + 56°
= 133°
Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for a.
A sphere has a radius of 3.5 feet.
The volume of the sphere is about
ft?
Answer:
179.50
Step-by-step explanation:
The formula for calculating pi is as followed: 4/3·π·r³
The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.
∴V=4/3·3.14·3.5³
V=179.503333333
Round your answer to the nearest hundredth:
179.503333333 rounded to the nearest hundredth becomes 179.50
∴V=179.50
-------------------------------------------------------------------------------------------------------------
Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.
V=π.4/3·r³
V=π·57.1666666667
Round 57.1666666667: 57.17
V=57.17π
Either one would work. Hope this works.
Most cereal boxes are about 12 inches tall, 8 inches wide, and 2 inches deep. 1. Calculate the volume and surface area of a standard cereal box. Be sure to write down the formulas used and show all work 2. Calculate the cost of manufacturing a standard cereal box if cardboard cost $0.05 per square inch. show all work
Answer:
Volume: 192 cubic inches
Surface area: 272 square inches
Manufacturing cost: $13.60
ONE VARIABLE INEQUALITIES WORD PROBLEM ••Ben is twice his brother's age. If the sum of
their ages is below 81, how old could Ben's brother
be
Answer:
27
Step-by-step explanation:
Let brother's age = x
Ben age = 2x
2x+x =81
3x =81
x =27
Ben's brother's = 27
Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for π. Round to the nearest hundredth if necessary.
A) 452.16 cm2
B) 37.68 cm2
C) 113.04 cm2
D) 18.84 cm2
Answer:
C) 113.04
Step-by-step explanation:
A=πr2
A=3.14 · 6 ≈ 113
please help me......asap
Answer:
Survey all families from a smaller town.
Step-by-step explanation:
It would be more easier to survey families in a small town
Please help me with this please and thank you
Answer:
f(x) = 2(1/3)^x
Step-by-step explanation:
To find the parameters of this exponential equation, follow the instructions given in the hint.
__
b = 6/18 = 1/3 . . . . . divide 6 by 18 to find 'b'
18 = a(1/3)^-2 . . . . . substitute a point and 'b' in the equation
18(1/3)^2 = a = 2 . . . . multiply by (1/3)^2
The equation is ...
f(x) = ab^x
f(x) = 2(1/3)^x
1000 POINTS!!!!!! PLEASE HELP WILL MARK BRAINLIEST!!!!!!!!!
Solve for x using the law of Cosines!
SHOW UR WORK!!!!!
Pls explain thoroughly
9) The diameter of a circular ice skating rink is 32 feet. What is the approximate area of the ice skating rink? Use a = 3.14. a) 803.84 square feet b) 50.24 square feet c) 100.48 square feet d) 64 square feet
Answer:
a) 803.84 square feet
Step-by-step explanation:
[tex]\sf{area~of~circle~=~\pi r^{2} }\\\sf{radius~ =~half~of~diameter}[/tex]
so 32 / 2 = 16 = radius
[tex]\sf{radius^{2} = 16^{2}=256}[/tex]
256 x 3.14 (because we are taking π as 3.14)
= 803.84
Hope this helps! If you need any further explanation, let me know!
- profparis
Can you guys help me do today.
Answer:
Down Below
Step-by-step explanation:
b=0.5
g=0.8
1. 3b + 5g = ?
3×0.5+5×0.8=?
1.5+4= 5.5 cm
2. 6(3b+5g) = ?
18b + 30g
18×0.5+30×0.8
9+24= 33 cm
3. 2b + 3g
2×0.5+3×0.8
1+2.4=3.4 cm
4. 7(2b+3g)
14b + 21g
14×0.5+21×0.8
7+16.8= 23.8 cm
5. Add number 2 and 4 together
14b+21g+18b+30g= 32b+ 51g
Take numbers and add them from problems 2 and 4
23.8+33=56.8 cm