Answer:
$5.98 credit
Step-by-step explanation:
the slope OR "m" in y=mx in this equation is given to be: -0.16
To find the answer you know that the calling time (x) is 37 minutes, therefore you multiply 3 by -0.16 to find the credit after 37 mins
y=mx
y=(0.16)(37)
y=5.92
please help me answer this question thank you
Answer:
A
Step-by-step explanation:
Write 2.5 : 4.5 as a whole number ratio in it's simplest from.
Answer: : = 5 : 9
Step-by-step explanation:
Answer:
i think it would be 5:9
Step-by-step explanation:
Change values to whole numbers.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.
We then have:
2.5 : 4.5 = 25 : 45
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 25 and 45 is 5
Divide both terms by the GCF, 5:
25 ÷ 5 = 5
45 ÷ 5 = 9
The ratio 25 : 45 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
25 : 45 = 5 : 9
Therefore:
2.5 : 4.5 = 5 : 9
A car is traveling along a test track in the desert at a constant rate of 85 feet per second The test track has a length of 10,000 feet, and the track is marked by foot for observation purposes. After 8 seconds, the car is at foot marker 1000 feet. At what foot marker was the car at time t= 0 seconds?
Answer:
foot marker 320 at t=0
Step-by-step explanation:
8 sec x 85 ft/s =680 ft
1,000ft - 680 ft = 320 ft
At t = 0 seconds the car was at a foot marker of 320 feet.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A car is traveling along a test track in the desert at a constant rate of 85 feet per second.
After 8 seconds, the car is at foot marker 1000.
So, In those 8 seconds, the car has traveled (8×85) = 680 feet.
Therefore, Initially, the car was at (1000 - 680) feet.
= 320 feet.
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Write a number that has a 7 in a place where its value is ten times more than its place in 39,372
Answer:
any number that has a 7 in the hundreds place
examples:
736
63,781
39,732
14/70 as a reduced fraction
Answer:
\(\frac{1}{5}\)
Step-by-step explanation:
Because 7 goes into both 14 and 70
7 goes into 14 two times, and 7 goes into 70 ten times so that would look like \(\frac{2}{10}\)
But, we can reduce that a little more, because 2 goes into 2 once, and 2 goes into 10 five times. Therefore, \(\frac{1}{5}\) is a reduced fraction
Answer: 1/5
Step-by-step explanation: divide both numerator and denominator by 14
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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You would like to make Chili, Tacos and Grilled Cheese this week. The grocery store prices and ingredients for the meals are listed above. One of each item will be enough to cover all recipes, except you will need two packages of cheese to make all three recipes. How much will you spend on groceries?
Answer:
i dont get it
Step-by-step explanation:
please simplify this
Answer:
2√2
Step-by-step explanation:
To rationalize we must multiply by √y / √y. This gives us y√8 / y which simplifies to √8 = 2√2.
Answer:
Step-by-step explanation:
It can also be written as \(\sqrt{8}\) + √y
Then √y and √y gets cancelled
We are left with √8
it can also be written as 2√2
Each can of paint covers 933 square inches. How many cans does Katie need to buy to paint the toy chests? Show how you found your answer.
Answer:
2 cans exactly
Step-by-step explanation:
I wrote this all in my notebook
A=13x16208
B=25X13=325
C=25X16=400
D25X13=325
E13X16=208
F=25X16=400
When Added All Together We Get 1866, 1866÷933=2
20 = 8 + 3 ( 12 + 4x ) A. 4 B. -4 C. -2 D. 2
Answer:
C
Step-by-step explanation:
expand.. and make the x as the subject
Answer:
C. would be the correct answer
Step-by-step explanation:
C. -2
Evaluate the function.
f(x) = 2x2
Find f(-3)
Can anybody answer this?
Answer:
18
Step-by-step explanation:
f(x) = 2x^2
Let x = -3
f(-3) = 2 * (-3)^2
Exponents first
f(-3)=2 *9
f(3) = 18
Answer:
f ( - 3 ) = 18
Step-by-step explanation:
f ( x ) = 2x²
Find f ( - 3)
let , x = - 3
lf ( - 3 ) = 2 ( -3 )²
f ( - 3 ) = 2 × ( - 3 )²
Evaluate the power
f ( -3) = 2 × 9
multiply the numbers
f ( - 3 ) = 18
Find the formula for the nth term of the following sequence:
648, 108, 18, 3...
Include "n=" in your answer, and do not use any spaces.
Answer:
648, 108 , 18, 3
divide all with 3
216,36,6,1
which means 6³,6²,6¹,6⁰....can be written as
\( {6}^{4 - 1} \: \: {6}^{4 - 2} ...so \: on \\ \)
\(so \: \: pattern = \\ n = {6}^{4 - n} \times 3\)
Triangle D has been dilated to create triangle D′. Use the image to answer the question.
image of a triangle labeled D with side lengths of 2.7, 4.8, 4.2 and a second triangle labeled D prime with side lengths of x, 1.6, 1.4
Determine the scale factor used.
2
3
one third
one half
The scale factor is 1/3.
What is the scale factor?
The difference in scale between an original object's scale and a new object that is its representation but is larger or smaller is known as a scale factor. For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.
Here, we have
Given: Triangle D has been dilated to create triangle D′.
To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:
4.8 / 1.6 = 3
4.2 / 1.4 = 3
2.7 / x = 3
Knowing that the scaling for each edge is 3, we can solve for x.
2.7 / 3 = x
0.9 = x
The edges for D are 4.8, 4.2, and 2.7 respectively to D’ scaled by 1/3. So we can determine that the edges for D’ are 1.6, 1.4, and 0.9 respectively to D scaled by 3.
So if we go D’ to D, we scale by 3. If we go D to D’, we scale by 1/3.
Hence, the scale factor is 1/3.
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The gravitational pull of the Moon is not as great as that on Earth. In fact, if a person checks their weight on the Moon, it will be only 1/6 of their weight on earth
What does each ordered pair on the line represent? 7. Write an equation to represent the relationship shown in the graph. 8. Is this a proportional relationship? Justify your answer. 9. In this problem situation, do all the points on the graph make sense? 310 10. Determine the weight of a person on Earth given his weight on the Moon. a. 12 lb b. 21 lb c. 36 lb
Step-by-step explanation:
There is no graph given in the question, so we cannot answer questions 1 and 9.
Let x represent the weight of a person on Earth, and let y represent their weight on the Moon. The equation for the relationship between weight on Earth and weight on the Moon is: y = x/6.
Yes, this is a proportional relationship, because the ratio of y to x is always the same (1/6), regardless of the weight of the person. In other words, if you double the weight of a person on Earth, their weight on the Moon will also double, and the ratio between the two weights will remain 1/6.
To determine the weight of a person on Earth given their weight on the Moon, we need to solve the equation y = x/6 for x, given that y is the weight on the Moon. Multiplying both sides of the equation by 6, we get: x = 6y.
So, if the weight of the person on the Moon is 36 pounds (as given in option c), then their weight on Earth would be: x = 6y = 6(36) = 216 pounds. Therefore, option c is the correct answer.
Now, at the animal shelter 4/6 of the animals are cats. Of the cats ½ are male. What fraction of the animals at the shelter are male cats?
solve for s
S/31=24 s=
Answer:
s = 744Step-by-step explanation:
\(\cfrac{s}{31}=24\)
Multiply both sides by 31.
\(\cfrac{31s}{31}=24\times\:31\)
\(\boxed{s=744}\)
-Hope this helps!
Answer:
s = 744
Step-by-step explanation:
Now we have to,
→ find the required value of s.
The equation is,
→ s/31 = 24
Then the value of s will be,
→ s/31 = 24
→ s = 24 × 31
→ [ s = 744 ]
Hence, the value of s is 744.
Triangle ABC is a 45*-45*-90* triangle where two vertices are A(-2,2) and B(-2,6) and AB is a leg of the triangle. What are all the possible ordered pairs for C?
Immediate help needed please.
Can you answer and explain please
The possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.
What is a quadratic equation?Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)
We have a quadratic equation:
(k - 1)x² + (4k)x + k -3 = 0
Here,
a = k - 1
b = 4k
c = k - 3
As we know for distinct real roots:
D > 0
\(\rm {b^2-4ac}} > 0\)
(4k)² - 4(k-1)(k-3) > 0
\(\rm 16k^2-4\left(k-1\right)\left(k-3\right) > 0\)
\(\rm 12k^2+16k-12 > 0\)
\(\rm 3k^2+4k-3 > 0\)
\(\rm 3\left(k+\dfrac{2}{3}\right)^2-\dfrac{13}{3} > 0\)
\(\rm 3\left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{3}\)
\(\rm \left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{9}\)
\(\rm k < \dfrac{-\sqrt{13}-2}{3}\quad \mathrm{or}\quad \:k > \dfrac{\sqrt{13}-2}{3}\)
or
\(\rm k < -1.868 \quad \mathrm{or}\quad \:k > 0.535\)
Thus, the possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.
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Is this correct? If not can I please get the answer?!?!
Can someone please help me with this
Answer:
39 sq inches
Step-by-step explanation:
-2log (6x + 1) = -6.
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 10.2 inches, and standard deviation of 3.3 inches.
If 48 items are chosen at random, what is the probability that their mean length is greater than 8.8 inches?
(Round answer to four decimal places)
Answer: Hope this helps ;)
Step-by-step explanation:
The probability that the mean length of 48 items is greater than 8.8 inches can be calculated using the normal distribution.
First, we need to standardize the value 8.8 inches by subtracting the mean length (10.2 inches) and dividing by the standard deviation (3.3 inches):
(8.8 - 10.2) / 3.3 = -1.4 / 3.3 = -0.42424242
We can use a z-table or a normal distribution calculator to find the probability that a random variable is less than -0.42424242 standard deviations below the mean. This probability is equal to the probability that the mean length of 48 items is greater than 8.8 inches.
Using a calculator, we find that the probability is 0.3389.
Rounding to four decimal places, the probability that the mean length of 48 items is greater than 8.8 inches is 0.3389.
UNIT ISCALING
SCALE DRAWING OF A SCHOOL BUS HAS A SCALE OF 1/2 INCH TO 5 FEET. IF THE
ENGTHS OF THE SCHOOL BUS IS 4 1/2 INCHES ON THE SCALE DRAWING, WHAT IS THE
ACTUAL LENGTH OF THE BUS? EXPLAIN OR SHOW YOUR REASONING
The actual length of the bus is given as follows:
45 feet.
How to obtain the actual length of the bus?The actual length of the bus is obtained applying the proportions in the context of the problem.
The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:
5/0.5 = 10 feet.
The length of the drawing is given as follows:
4.5 inches.
Hence the actual length of the bus is given as follows:
4.5 x 10 = 45 feet.
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We saw that about 34% of
all students received at least one referral. Suppose we have concerns about the number of
disciplines in one particular school - it seems very high, and we've had concerns from parents at the school. In one particular year, 162 out of the 340 students at that school had a referral.
a. If we selected a random sample of 340 students, would the sample proportion that are
disciplined be approximately normally distributed? Why or why not?
b.
Use the normal distribution to find the probability of randomly selecting a sample of 340
students and finding that 162 of them or more have received a referral during that
particular year.
C. Would we think that is unusual? Explain your reasoning.
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
what is probability ?It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.
given
The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.
Calculating the sample proportion is necessary:
The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:
P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031
Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:
\(z = (0.476 - 0.34) / 0.031 = 4.39\)
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
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What is the value of F(x)=-x+9 if x=-7
Answer: F = - 2/7
Step-by-step explanation:
\(f(x) = x + 9\\f(-7) = -7 + 9\\f(-7) = 2\\f = -\frac{2}{7}\)
rewrite 1/6 and 2/11 so they have a common denominator then use <, =, or > to order
Answer:
1/6 < 2/11
Step-by-step explanation:
1/6 = 2/12
2/11 >2/12
So that means 1/6 < 2/11
Answer: 1/6 < 2/11
This is the same as saying 11/66 < 12/66
===========================================================
Explanation:
1/6 is the same as 11/66 when multiplying top and bottom by 11.
2/11 is the same as 12/66 when multiplying top and bottom by 6.
The 6 and 11 multipliers are from the original denominators (just swapped).
We can see that 11/66 is smaller than 12/66, simply because 11 < 12, so that means 1/6 is smaller than 2/11
-----------------
Here's one way you could list out the steps
11 < 12
11/66 < 12/66
1/6 < 2/11
------------------
Here's another way to list out the steps. First assume that 1/6 and 2/11 are equal. Cross multiplication then leads to
1/6 = 2/11
1*11 = 6*2
11 = 12
Which is false. But we can fix this by replacing every equal sign with a less than sign
1/6 < 2/11
1*11 < 6*2
11 < 12
---------------------
Yet another way to see which is smaller is to use your calculator or long division to find the decimal form of each value
1/6 = 0.1667 approximately
2/11 = 0.1818 approximately
We see that 0.1667 is smaller than 0.1818, which must mean 1/6 is smaller than 2/11.
Find two positive numbers whose sum is 110 and whose product is a maximum.
The two positive numbers are 55, and 55.
Given that,
Two positive numbers whose product is a maximum and whose sum is 110.
To Find : Two positive real numbers with a maximum product whose sum is 110.
x + y = 110
x = 110-y
Area = xy = (110-y)y
A = 110y-y^2
Maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55
x + y = 110
x + 55 = 110
x = 55
and y is also 55.
Therefore, the two positive numbers are 55, and 55.
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Avani recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar 14 Bass 9 Drums 7 Keyboard 2 Eighth Grade Students Instrument # of Students Guitar 11 Bass 9 Drums 15 Keyboard 10 Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than bass as a decimal to the nearest hundredth.
The probability that a seventh grader chosen at random will play an instrument other than bass would be 0. 72
How to find the probability ?The probability of a seventh grader that is chosen at random, being able to play an instrument that is not bass is:
= Number of students playing instruments that are not bass / Total number of seventh grade students surveyed x 100 %
Number of students playing instruments that are not bass = ( 14 + 7 + 2 ) = 23
Total number of seventh grade students surveyed = ( 14 + 9 + 7 + 2 ) = 32 students
The probability then is:
= 23 / 32 x 100 %
= 0. 72
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please help me with math :):
(more than one answer)
Which number(s) are 3 units from zero on a number line?
1. 6
2. 3
3. 1\3
4. -3
what’s the answer's (more than one) 1,2,3,or 4?
Answer: 2. 3 and 4. -3
Step-by-step explanation:
Which value of x in the equation 18x + 5 - 3 = 65 makes the equation true
Answer:
the value of x that makes the equation true is x = 3.5.
Step-by-step explanation:
To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.
Starting with the equation:
18x + 5 - 3 = 65
First, combine like terms:
18x + 2 = 65
Next, isolate the term with x by subtracting 2 from both sides:
18x = 65 - 2
18x = 63
Finally, divide both sides of the equation by 18 to solve for x:
x = 63 / 18
x = 3.5
Therefore, the value of x that makes the equation true is x = 3.5.
The answer is:
x = 7/2 (3.5 in decimal form)Steps & work :
First, I focus only on the left side.
Combine like terms:
\(\sf{18x+5-3=65}\)
\(\sf{18x+2=65}\)
Subtract 2 from each side:
\(\sf{18x=63}\)
Now, divide each side by 18:
\(\sf{x=\dfrac{63}{18}\)
Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:
\(\sf{x=\dfrac{7}{2}}\)
\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)