Answer:
180 - 90 = 90
half of 90 = 45
40 and 50??
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.
At a party, the ratio of chocolate cupcakes to vanilla cupcakes is 4 to 3. If there are 24 chocolate cupcakes, how many vanilla cupcakes are at the party?
Answer:
8
Step-by-step explanation:
24 dividing by 3 equals 8.
The number of vanilla cupcakes at the party will be 8.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that at a party, the ratio of chocolate cupcakes to vanilla cupcakes is 4 to 3. If there are 24 chocolate cupcakes.
The number of cupcakes will be calculated as:-
4 / 3 = 24 / V
V = ( 24 x 3 ) / 4
V = 18
Hence, the quantity of vanilla cups is 18.
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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:
A savings account that pays interest every 3 months is said to have a ___ interest period.
Answer:
Quarterly
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.
Given the function g(x)= -x^2 + x + 5, determine the average rate of change of the function over the interval -4 ≤ x ≤ 3.
Answer:
The average rate of change is 2.
Step-by-step explanation:
We are given the function:
[tex]g(x)=-x^2+x+5[/tex]
And we want to find the average rate of change over the interval:
[tex]-4\leq x\leq 3[/tex]
The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.
Our first endpoint is given by:
[tex]g(-4)=-(-4)^2+(-4)+5=-15[/tex]
And our second endpoint is given by:
[tex]g(3)=-(3)^2+(3)+5=-1[/tex]
This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:
[tex]\displaystyle ARC=\frac{-1-(-15)}{3-(-4)}=\frac{14}{7}=2[/tex]
The average rate of change is 2.
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:
Marcella's family pays $9 for an appetizer and orders 5 sandwiches. They spend $44. How much is each sandwich?
Answer:7
Step-by-step explanation:
43 - 9 bc the sandwitch and then divde that number by 5
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.
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.
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Can someone please help me?
Answer:
part a =x=a x p
Step-by-step explanation:
which of the following fractions is larger in these fractions 3/12, 2/6, 1/24
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!
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:
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?
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!!!!14 b + 9 b – 4 – 12b Help meh pls Xd
Answer:
Simplify the expression.
11 b − 4
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{14b + 9b - 4 - 12b}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(14b + 9b - 12b) + (-4)}\\\\\large\text{(14b + 9b - 12b) = 23b - 12b = \bf{11b}}\\\\\large\text{-4 = \bf{-4}}\\\\\large\text{\bf{= 11b - 4}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{11b - 4}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
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:
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
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.
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.
In the figure, TS = 8, SR = 4, and QR = 2, what is the length of PQ?
Answer:
d. 22
Step-by-step explanation:
(PQ + QR) × QR = (TS + SR) × SR => two secants intersecting theorem
PQ = ?
QR = 2
TS = 8
SR = 4
Plug in the values
(PQ + 2) × 2 = (8 + 4) × 4
2PQ + 4 = 12 × 4
2PQ + 4 = 48
2PQ + 4 - 4 = 48 - 4
2PQ = 44
2PQ/2 = 44/2
PQ = 22
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.
maths please help i only have 50 minutes and i have no clue
Step-by-step explanation:
the answer is in the attachment
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:
Can you guys help with this?
Answer:
Step-by-step explanation:
refer to the image thank you
Answer:
C I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
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: