Steve checked out a book and a video from the local library. They were three days overdue when he returned them. The fine was 15 cents for each day the book was overdue, and 25 cents for each day the video was overdue. How much did Steve owe?
Answer:
1.20 or 120 cents
Step-by-step explanation:
First, we need to calculate the total due for the book. 15 cents(3 days) = 0.45
Next, we need to calculate the total due for the video. 25 cents(3days) =0.75
0.75+0.45=1.2 dollars, or 120 cents
Use the fundamental identities to
Find tan s if sin s=3/4 and s is in quadrant 2
Answer:
Cosine Formula
Thus, the cosine of angle α in a right triangle is equal to the adjacent side's length divided by the hypotenuse. To solve cos, simply enter the length of the adjacent and hypotenuse and solve.
Cho ma trận 4 1 21 0 13 2 1A= −−−−Tính 25AI−Câu 2(3điểm)Tìm ma trận nghịch đảo của ma trận sau−=123020112ACâu 3(3điểm)Giải hệ phương trình=+−−=+−=−+02347213321321321xxxxxxxxxCâu 4(1điểm)Giải và biện luận hệ phương trìnhsau theo m1 2 31 2 31 2 3222 2 6 62 3 4 5xx xxxxxxxm− + =− + − = −− + = +HẾT.
Hi can you translate into English then I would be happy to help
someone pleaseeee answer!!!
Answer:
7.79
Step-by-step explanation:
in 30, 60, 90 triangle, hypotenuse is equal to "2x", shortest length is equal to "x" and second longest is equal to "x × square root of 3". hope this helps
Help meeeeeeeeeeeeedsddsss9
Answer:
2(x + 3) <9
Step-by-step explanation:
Two times the quantity of a number increased by 3 is less than 9
2 · (x + 3 ) < 9
= 2(x + 3) <9
Allison sells cosmetics door-to-door. She is paid a monthly commission which is 10% of her first $900 in sales and 15% of the rest of her sales. Last month she sold $8,000 worth of cosmetics. How
much commission did she earn last month?
Answer:
$1155
Step-by-step explanation:
10% of the first $900 is $90.
The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.
Add them together to get $1155.
The radius of the semicircle is 3 in. How long is its perimeter?
Please be accurate and explain.
Answer:
15.42 inches
Step-by-step explanation:
-formula : perimeter of semi circle= πr+2r
r=3 inch
π.3+2.3
=3π+6
≅15.42inchAnswer:
15.425 or 6+3π
Step-by-step explanation:
If the radius of the circle is 3 inches and the diameter is double the radius, we know the diameter is 6 inches. Then we find half of the perimeter of a circle with radius 3. The perimeter formula of a cirle is 2πr. Plugging in the radius we get: 2(3)π or 6π. Then we divide by 2 as it is a semicircle and get 3π or ≈9.425. We add 6 to this and we get the answer of 15.425 or 6+3π.
Can anyone please help? im running out of time and im so confused.
Answer:
x=8
Step-by-step explanation:
x+x+5=x+x+x-3
2x+5=3x-3
Subtract 2x from both sides.
5=x-3
Add 3 to both sides.
8=x
-hope it helps
Could someone help me solve this please? With explanation?
Answer:
x=109 degrees
Step-by-step explanation:
By alternate interior angles, the measure of angle ADE is the same as that of EAB, both of which are 38.
Because ADE is an isosceles triangle, the measure angle EAD is equal to that angle EDA; let that measure be x.
Because the angles of a triangle add up to 180, x+x+38=180 -> 2x+38=180 -> 2x=142 -> x=71
That means that angle EDA is 180 degrees
Because x is supplementary to angle EDA, the measure of angle x is 180-71=109 degrees
I want a way to solve this question
Answer:
d
Step-by-step explanation:
Using the Cosine rule to find ∠ A
cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
= [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]
= [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]
= [tex]\frac{5.21}{58.14}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )
16,40 and 56 LCM
Solve this problem
Answer:
LCM = 2^4 x 5^1 x 7^1 = 560
Step-by-step explanation:
I hope this helps you !!use the quadratic formula to solve 4x²-9x=2x²-2x-4
[tex]4x^2-9x = 2x^2 -2x -4\\\\\implies 4x^2 -9x -2x ^2 +2x +4 =0\\\\\implies 2x^2 -7x +4=0\\\\\text{Apply quadratic formula,}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case,} ~a =2, b = -7 ~ \text{and}~ c =4\\\\\\x =\dfrac{-(-7) \pm \sqrt{(-7)^2 - 4 \cdot 2 \cdot 4}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{17}}4\\\\\\\text{Hence,}~ x = \dfrac{7 +\sqrt{17}}4~ \text{and}~x = \dfrac{7 -\sqrt{17}}4[/tex]
Determine if the two triangles are congruent. If they are, state how you know
Answer:
yes the two triangles are congruent by the SSS theorum.
Step-by-step explanation:
it is given that two of the sides are congruent. they also share a side making that side also congruent. so, all three sides are equal, making the two triangles congruent by SSS/side-side-side theorum.
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on data from the College Board ATP). (a) If a single student is randomly selected, find the probability that the sample mean is above 500. (b) If a sample of 35 students are selected randomly, find the probability that the sample mean is above 500. These two problems appear to be very similar. Which problem requires the application of the central limit theorem, and in what way does the solution process differ between the two problems?
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.281 = 28.1% probability that the sample mean is above 500.
b) 0.0003 = 0.03% probability that the sample mean is above 500.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 430, hence [tex]\mu = 430[/tex].The standard deviation is of 120, hence [tex]\sigma = 120[/tex].Item a:
The probability is the p-value of Z when X = 500, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 430}{120}[/tex]
[tex]Z = 0.58[/tex]
[tex]Z = 0.58[/tex] has a p-value of 0.719.
1 - 0.719 = 0.281
0.281 = 28.1% probability that the sample mean is above 500.
Item b:
Sample of 35, hence [tex]n = 35, s = \frac{120}{\sqrt{35}}[/tex]
Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{500 - 430}{\frac{120}{\sqrt{35}}}[/tex]
[tex]Z = 3.45[/tex]
[tex]Z = 3.45[/tex] has a p-value of 0.9997.
1 - 0.9997 = 0.0003
0.0003 = 0.03% probability that the sample mean is above 500.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
20points
Which represents the restrictions on the radical inequality
Answer:
The answer is 2x>0 is the final answer. The last one.
Step-by-step explanation:
It is greater.
Help me pllllllllllease! I have only got 2 minutes!
When I divide an integer by 15, the remainder is an integer from 0 to 14. When divide an integer by 27, the remainder is an integer from 0 to 26. For instance, if the integer is 100 then the remainders are 10 and 19, which are different. How many integers from 1 to 1000 leave the same remainders after division by 15 and after division by 27?
Answer:
Two minutes for what???
A manager at a restaurant can buy hamburger buns in
packages of 8 and hamburger patties in packages of 6.
Suppose that the manager cannot buy part of a package.
What is the least number of packages of each product
he can buy to have an equal number of hamburger patties
and buns?
PLEASE INCLUDE MULTIPLES OF 8 AND 6 ALL THE WAY UNTIL YOU GET A NUMBER THAT IS THE SAME ON BOTH
Answer: 24
Step-by-step explanation
8-8-16-24-32-40
6-6-12-18-24-30-36
20x9 and I need help I don’t do math so can u help me
Answer:
180
Step-by-step explanation:
So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.
I hope this helps.
Answer:
180
Step-by-step explanation:
There is two ways you can do this. You can do:
20
x 9
180
This is because you multiply from right to left. 0 x 9 = 0 (anything x 0 always = 0.) And 2 x 9 = 18.
The second way takes a lot longer, but it works. You could do:
20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180.
Hope this helps.
Try changing these improper fractions to mixed numbers.
16/5?
( teach me how to solve this please!)
Answer:
3 1/5
Step-by-step explanation:
The improper fraction 16/5 is called improper because the top number(the numerator) is bigger than the bottom number(the denominator) we "fix" this by dividing and creating a mixed number (it is called mixed because there is a whole part and a fraction part):
As 16÷5 >>> doing this division gives you 3 wholes and 1/5 leftover. We write this as
3 1/5 (in handwriting the three is big and the 1/5 is a fraction, it is the mixed number they are asking you for)
how can you isolate the term f/3
lines that meet each other at a right angle are called ____
Answer: Perpendicular
Explanation:
One example of a pair of perpendicular lines would be having one horizontal line and one vertical line. They form a right angle which is 90 degrees.
Answer:
Perpendicular lines
Step-by-step explanation:
I think that when two lines meet each other in right angle it ie calledWhat is the distance between points A and B?
A. 1/3
B. 1/2
C. 1 1/3
D. 1 1/2
Answer:
A. 1/3
Step-by-step explanation:
From 1 to ___, ____, and 2 is half and half that would be 2 and a half. the only solution would be 1/3
Answer:
boom
Step-by-step explanation:
In the diagram below of triangle K L M KLM, N N is the midpoint of K M ‾ KM and O O is the midpoint of L M ‾ LM . If m ∠ M L K = 3 x + 75 ∠MLK=3x+75, and m ∠ M O N = 93 − 3 x ∠MON=93−3x, what is the measure of ∠ M L K ∠MLK?
Applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°
Recall:
Corresponding angles are congruent, that is, their angle measures are equal based on the corresponding angles theorem.
The diagram given, showing triangle KLM is in the image attached below.
m∠MLK and m∠MON are corresponding angles, therefore:
m∠MLK =m∠MON
Substitute3 x + 75 = 93 − 3 x
Solve for x3x + 3x = 93 - 75
6x = 18
x = 3
m∠MLK = 3 x + 75
Plug in the value of xm∠MLK = 3(3) + 75
m∠MLK = 84°
Therefore, applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°
Learn more about the Corresponding Angles Theorem on:
https://brainly.com/question/5221905
x^2+2x+8=0, Find x?aaaaaaa
I want a way to solve such a problem
Answer:
11.2
Step-by-step explanation:
Who’s up right now and will do homework for pay !
Step-by-step explanation:
[tex]\huge\mathbb\red{I Also Need Help}[/tex]
(≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦) (≧▽≦)(≧▽≦)
the marked price of a table fan is Rs 1400 and 10% discount is allowed on it. Find it's cost with 15%VAT.
Answer:
marked price=1400
discount=10%
VAt= 15%
selling price=?
Now
we know that,
sp= mp - discount%of mp
1400- 10% of 1400
1400 - 10÷100* 1400
1400
Indira was measuring the length of her school's hallway. The first part of the hallway
was 132 inches long. The next part was 3 yards long. How long is the hallway in
feet?
Answer:
132 in /12 in/ft + 3 yd(3ft/yd) = 11 + 9 = 20 ft
Step-by-step explanation:
Answer:
20 ft
Step-by-step explanation:
12 inches = 1 foot
12 : 1 = 132 : y
[tex]\frac{132:y}{12:1}[/tex]
12 × y = 132 × 1
12y = 132
12y ÷ 12 = 132 ÷ 12
y = 11
11 ft
1 yard = 3 feet
1 : 3 = 3 : y
[tex]\frac{1:3}{3:y}[/tex]
1 × y = 3 × 3
1y = 9
y = 9
9 ft
11 ft + 9ft = 20 ft
please help asap!!!!!!!!
Answer:
$3192.5.
Step-by-step explanation:
First $3000 tax is 3000 * 0.02 = $60.
Second $2000 tax is 2000 * 0.03 = $60.
Third $12000 tax is 12000 * 0.05 = $600.
Last $43,000 tax is 43000 * 0.0575 =$2472.5
Total income tax = $3192.5.
ALOT OF POINTS FOR THIS ONE
Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.
3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets
Answer : 3.50t + 12
Step - by - step explanation :
the reason why I think the answer is " 3.50t + 12 " is because . . . since the admission to the state farm is only ONCE - there doesn't need to be a variable there to tell us that it MIGHT repeat more than once. and because we don't know how many ride ticket will be purchased - there is a variable there to tell us unknown.