Question 2 Mr. Smith is buying two types of gift cards to give as prizes to employees at a company picnic. He will buy restaurant gift cards that each cost S40 and movie theater gift cards that each cost $25 He has $375 to buy a total of 12 gift cards. How many of each type of gift card can Mr. Smith buy?
Answer: He can buy 5 restaurant gift cards and 7 movie gift cards
Step-by-step explanation:
The area of a circle is 25p ft 2 . What is the circumference of the circle? Explain.
Answer:
Circumference of circle = 31.42 ft.
Step-by-step explanation:
Given the following data;
Area of circle = 25π ft²
To find the circumference of the circle;
First of all, we would determine the value of its radius;
Area of circle =πr²
25π = πr²
r² = 25
Taking the square root of both sides, we have;
r = 5 ft.
Now, to find its circumference;
Circumference of circle = 2πr
Circumference of circle = 2π*5
Circumference of circle = 10π ft.
π = 3.142
10π = 10 * 3.142 = 31.42
Circumference of circle = 31.42 ft.
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes times?
Give me an explanation please
Answer:
The 3rd and 6th
Step-by-step explanation:
Make a system of equations, try to solve, and then see which statements apply.
let x be the cost of a DVD and y be the cost of a video game
Then you would have:
2x + y = 12
4x + 2y = 24
from turning the words into equations.
Now, solve:
first, multiply the first equation by 2
2x + y = 12 --> 4x + 2y = 24
Then, subtract the two equations:
4x + 2y = 24
- (4x + 2y = 24)
0 = 0
Since you have a number = a number, there are infinite solutions.
Go through the options they give you and see which ones are correct
o The system of linear equations that represents this situation has one solution
Not true, there are infinite
o The system of linear equations that represents the situation has no solution.
Not true
o The system of linear equations that represents the situation has infinitely many solutions.
True
o The DVD rentals cost more than video game rentals
Unknown, it could cost more but it can also cost less so this is not true
o The video rentals cost more than the DVD rentals
Unknown for the same reason
o You cannot determine the cost of video game rentals or DVDs.
True
The difference between a number and 3 is no more than 2
Answer:
Any number 5 and below
Step-by-step explanation:
We are given the expression that the difference between a number and 3 is no more than 2. Break down the expression and spot the key word of "difference," therefore meaning that the unknown number "x" and 3 is equal or less than 2. We can create the algebraic expression of x - 3, now since the answer must equal 2 or below 2, we can create the inequality :
x - 3 ≤ 2
Now the only numbers that are allowed to be inputted here is 5 and below.
The solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.
Let us denote the number as "x," we can express the given statement as an inequality:
|x - 3| ≤ 2
This inequality states that the absolute value of the difference between x and 3 is less than or equal to 2.
If x - 3 ≥ 0 (x ≥ 3)
In this case, the absolute value can be removed:
x - 3 ≤ 2
x ≤ 2 + 3
x ≤ 5
and if x - 3 < 0 (x < 3)
The absolute value becomes negative:
-(x - 3) ≤ 2
x + 3 ≤ 2
x ≤ 2 - 3
x ≤ -1
x ≥ 1
Combining the results from both cases, we have:
x ≤ 5 or x ≥ 1
Therefore, the solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.
To learn more on Inequality click:
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If the Diameter is 10 inches, what is the Radius? 2.5 inches 5 inches 10 inches 20 inches
Answer: Radius is always half of the diameter so the answer is 5
Step-by-step explanation:
What is the percent of change from 50,000 to 80,000?
Answer:
Percentage Calculator: What is the percentage increase/decrease from 50000 to 80000? = 60
Step-by-step explanation:
Can you guys help with this?
Answer:
Step-by-step explanation:
four hundred twenty is 3/5 of what number
700 is the answer to your problem
Use the law of sines to find m
Answer: 5.22
Step-by-step explanation:
Given
[tex]\angle A=103^{\circ}[/tex]
Sine law is [tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\\[/tex]
Here, a=8, c=5
Putting values
[tex]\Rightarrow \dfrac{8}{\sin 103}=\dfrac{5}{\sin C}\\\\\Rightarrow \sin C=\dfrac{5}{8}\sin 103^{\circ}=0.6089\\\Rightarrow C=37.51^{\circ}[/tex]
[tex]\Rightarrow \angle B=180^{\circ} -103^{\circ}-37.51^{\circ}\\\Rightarrow \angle B=39.49^{\circ}[/tex]
If b=m, then
[tex]\Rightarrow \dfrac{8}{\sin 103^{\circ}}=\dfrac{m}{\sin 39.49^{\circ}}\\\\\Rightarrow m=\dfrac{\sin 39.49^{\circ}}{\sin 103^{\circ}}\times 8=5.22[/tex]
work out the angle of x please answer ASAP!!
Given:
The figure of a pentagon.
To find:
The value of the x.
Solution:
We know that, the sum of all interior angles of a pentagon is 540 degrees. So,
[tex](5x-25)+(6x+25)+(6x-3)+(9x)+(7x+15)=540[/tex]
[tex](5x+6x+6x+9x+7x)+(-25+25-3+15)=540[/tex]
[tex]33x+12=540[/tex]
Subtract both sides by 12.
[tex]33x+12-12=540-12[/tex]
[tex]33x=528[/tex]
Divide both sides by 33.
[tex]x=\dfrac{528}{33}[/tex]
[tex]x=16[/tex]
Therefore, the value of the x is 16.
Robyn sells 100 tickets to the fourth grade play. The table shows the part of the tickets she sold of each type. What fraction of the tickets were adult and student tickets ?
Answer:
78/100 i dk hope it helps soo sory if its wrong if its wrong use slader itlll give answers to your textbook cuz it looks like your using one
Step-by-step explanation:
A recipe includes 2 cups of flour and 2/3 cups of buttermilk. Write the ratio of the amount of flour to the amount of buttermilk as a fraction in simplest form.
What is the area of the front AND back faces? *
Answer:
Step-by-step explanation:
A=5(8)+5(8)
A=40+40
A=80in^2
What is the slope of the function?
Answer:
slope measures the rate of change in the dependent variable as the independent variable changes
Step-by-step explanation:
i don't know hope it helps a little
How could we find the diameter of a circle with an area of 78.5 in.^ 2 ?? (3.14 is used for )
Answer:
I think it's A AND C. The diameter is just the radius multiplied by 2 at the end of the day.B is just wrong.
Tara is selling a car that costs $12,000. She will make a commission of 10%. What will her
commission be?
Answer:
$1200
Step-by-step explanation:
Convert the units.
____ mL = 2L
Answer:
2000mL=2L
Step-by-step explanation:
You multiply two two-digit numbers and the product is close to 2,600.What two numbers did you multiply?
Step-by-step explanation:
the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600
Answer:
52 and 50
Step-by-step explanation:
Break it down into smaller numbers in this case 3 numbers.
26 * 10 * 10 = 2600
By multiplicative rule,
we can break 10 into 5 * 2,
giving 26 * 10 * 5 *2,
because multiplication is commutative and associative
group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600
above is a table that shows a proportional relationship. What value should replace the question mark?
Answer:
I think the answer might be 700.
Step-by-step explanation:
If you divide 1,750 and 5 it equals 350. Then I multiplied the 2 by 350. That got me 700. Hope this helps!
Simplify the expression:
6(h + 6) + 1
Answer:
This is your answer
Answer:
6h + 37
Step-by-step explanation:
=> 6(h + 6) + 1
=> 6h + 36 + 1
=> 6h + 37...ans
HOPE IT HELPS U!!!!According to a human modeling project, the distribution of foot lengths of 16- to 17-year-old boys is approximately Normal with a mean of 25.5 centimeters and a standard deviation of 1.4 centimeters. Suppose a shoe store stocks shoes in men's sizes 7 through 12. These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Answer:
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.
This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]
These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Less than 24.6:
The proportion is the pvalue of Z when X = 24.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a pvalue of 0.2611
More than 28.8:
The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]
[tex]Z = 2.36[/tex]
[tex]Z = 2.36[/tex] has a pvalue of 0.9909
1 - 0.9909 = 0.0091
0.2611 + 0.0091 = 0.2702
0.2702*100% = 27.02%
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
ABC = EDF. Determine the value of x.
Answer:
The correct answer here is A. x = 17.
How I found this out:
3x + 3 and 5x - 7 are going to be different solutions in the end.
I did the process of elimination.
First, I subsituted, 17 for x. 3 X 17 + 3 = 54. 5 X 17 - 7 = 78.
I then took 180 - 54 - 48 = 78 and 180 - 78 - 48 = 54, just to make sure they are positive numbers and not negative.
Since they work out, I chose this as my correct answer to your question.
Step-by-step explanation:
Hope this helps! :)
I tried my best so I'm it's wrong.
which of the following fractions is larger in these fractions 3/12, 2/6, 1/24
A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1
mile is 5280 feet.
Answer:
9240ft per second
(105mi/1hr * 5280ft/1mi * 1hr/60sec)
Step-by-step explanation:
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210
Answer:
[tex]\frac{16}{152}[/tex]
[tex]\frac{15}{210}[/tex]
Step-by-step explanation:
A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly
guesses an answer to each question.
What is the probability that the student gets fewer than 2 questions correct?
Round to 3 decimal places
Blank 1:
Answer:
0.367 = 36.7% probability that the student gets fewer than 2 questions correct
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he guesses the correct answer, or he does not. The probability of guessing the correct answer on a question is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
8 questions on it
This means that [tex]n = 8[/tex]
4 choices.
One of them is correct, which means that [tex]\pi = \frac{1}{4} = 0.25[/tex]
What is the probability that the student gets fewer than 2 questions correct?
This is
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.25)^{0}.(0.75)^{8} = 0.1[/tex]
[tex]P(X = 1) = C_{8,1}.(0.25)^{1}.(0.75)^{7} = 0.267[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.267 = 0.367[/tex]
0.367 = 36.7% probability that the student gets fewer than 2 questions correct
Answer:
A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answer to each question.
What is the probability that the student gets fewer than 2 questions correct?
Round to 3 decimal places.
0.367
Step-by-step explanation:
Look at the sections between the whole numbers on the number line below. How many equal parts are in each section? What fraction does each part show? Each mark on the number line represents a fraction. What denominator will all the fractions have? Write the missing labels on the number line.
refer to the image thank you
Answer:
C I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
According to the World Alamanac of 2005, Muhammed emerged as a prophet in 610
A. D. Which is a close estimate to about how many years have elapsed since then?
A. 23 centuries
B. 14 centuries
C. 13 centuries
D. 12 centuries