Answer:
x = 60°
y = 50°
Step-by-step explanation:
✔️x + 50° + 70° = 180° (sum of a triangle)
x + 120° = 180°
Subtract 120° from each side
x = 180° - 120°
x = 60°
✔️50° + 60° = x + y (exterior angle theorem of a triangle)
110° = x + y
Plug in the value of x
110° = 60° + y
Subtract 60° from each side
110° - 60° = y
50° = y
y = 50°
Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?
Answer:
.42
Step-by-step explanation:
Step-by-step explanation:
Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.
A 30%tip on a $50 haircut.
Answer:
$15
Step-by-step explanation:
Try Again
The price of an item has been reduced by 70%. The original price was $49.
Use the ALEKS calculator to find the price of the item now.
s
Answer:
$34.30
Step-by-step explanation:
Use the equation:
F=P(r)
F=final price
P=principal (starting) amount
r=rate, normally a percent and has to be converted to a decimal
**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.
Plug in the values: F = 49(.7)
F=$34.30 (don't forget the $ sign)
2.45 divided by 0.17 =
Its not 14.41176470588235
Answer:
0.06938775
Step-by-step explanation:
This is the correct answer.
I need help on number 26
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel? 4π 8π
Answer:
[tex]v=\dfrac{\pi}{2}\ ft/s[/tex]
Step-by-step explanation:
Given that,
A wheel with radius 1 foot makes 1 revolution in 4 seconds
We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is angular velcocity,[tex]\omega=2\pi\ rad[/tex]
[tex]\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s[/tex]
So
[tex]v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s[/tex]
So, the linear velocity of the wheel is equal to [tex]\dfrac{\pi}{2}\ ft/s[/tex].
Answer:
pi/2
B
Step-by-step explanation:
Got it right on EG
The circle graph shows the results of a survey about favorite hobbies. A total of 1,000 people
were surveyed.
Favorite Hobbies
8%
Scrapbooking
24%
Playing Sports
16%
Collecting
22%
Cooking
12%
Reading
18%
Traveling
a. How many selected traveling as their favorite hobby?
Answer:
180 people
Step-by-step explanation:
Total of people surveyed = 1,000
% of people that selected travelling as their favorite hobby = 18 %
Number of people that selected travelling = % that selected travelling of 1,000
= 18% of 1,000
= 18/100 × 1,000
= 180 people
Therefore, 180 people selected travelling as their favorite hobby.
Mean (M) = 6, Standard deviation (SD) = 2.45,
calculate the z-score for the specified raw score of 4.
Answer:
z = -0.816
Step-by-step explanation:
z = (x-μ)/σ
z = (4-6)/2.45
z = -0.816
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2
What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
because it has two parallel side and and other are just lines but being quadrilateral its sum is 360
Solve the following percentage problem 85%of 40
Answer:34
85% of 40 = 34
Step-by-step explanation:85 percent of 40? = 34.
Answer:
34
Step-by-step explanation:
9 pt = How much fl oz
Answer:
9 pints would equal 144 ounces
Step-by-step explanation:
Pints
The US liquid pint is a unit of fluid volume equal to one-eighth of a gallon, one-half of a quart, or two cups. The liquid pint should not be confused with the dry pint (US) or the imperial pint, which are different units.
The pint is a US customary unit of volume. Pints can be abbreviated as pt; for example, 1 pint can be written as 1 pt.
Fluid Ounces
The US fluid ounce is a unit of volume equal to 1/16 of a pint or 1/8 of a cup. The fluid ounce is sometimes referred to as an "ounce" but should not be confused with the unit of mass. One fluid ounce is equal to just under 29.6 milliliters, but in nutrition labeling, one fluid ounce is rounded to exactly 30 milliliters.[1]
The fluid ounce is a US customary unit of volume. Fluid ounces can be abbreviated as fl oz, and are also sometimes abbreviated as fl. oz. or oz. fl.. For example, 1 fluid ounce can be written as 1 fl oz, 1 fl. oz., or 1 oz. fl..
Pint to Fluid Ounce Conversion Table
Pint measurements converted to fluid ounces
Pints Fluid Ounces
1 pt 16 fl oz
2 pt 32 fl oz
3 pt 48 fl oz
4 pt 64 fl oz
5 pt 80 fl oz
6 pt 96 fl oz
7 pt 112 fl oz
8 pt 128 fl oz
9 pt 144 fl oz
10 pt 160 fl oz
11 pt 176 fl oz
12 pt 192 fl oz
13 pt 208 fl oz
14 pt 224 fl oz
15 pt 240 fl oz
16 pt 256 fl oz
17 pt 272 fl oz
18 pt 288 fl oz
19 pt 304 fl oz
20 pt 320 fl oz
21 pt 336 fl oz
22 pt 352 fl oz
23 pt 368 fl oz
24 pt 384 fl oz
25 pt 400 fl oz
26 pt 416 fl oz
27 pt 432 fl oz
28 pt 448 fl oz
29 pt 464 fl oz
30 pt 480 fl oz
31 pt 496 fl oz
32 pt 512 fl oz
33 pt 528 fl oz
34 pt 544 fl oz
35 pt 560 fl oz
36 pt 576 fl oz
37 pt 592 fl oz
38 pt 608 fl oz
39 pt 624 fl oz
40 pt 640 fl oz
Please don't report this. :(
4. The radius of a circle is 6 inches. What is
the area?
a. 18.84 in?
b. 37.68 in
c. 87.98 in
d. 113.04 in
Bob has $2,500 in a savings account that earns 3 % annually. How much will he earn in interest in 1 year?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
Answer:
the answer is 2575 I believe
Step-by-step explanation:
(2500x3x1/100)
(2500+75)
A company sells meal kits. Suppose that 70% of the first-time customers who order a vegetarian meal will order
again, while 65% of the first-time customers who order a gluten-free meal will order again. The company takes
separate random samples of 50 first-time customers who order each kind of meal. The company will then look at
the difference (vegetarian – gluten free) between the proportions of customers who order again in each
sample.
What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answer: A
Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10
Step-by-step explanation: Khan Answer
For vegetarian orders 70% order again, so with a sample size of 50 we will have an estimated 35 people order again: [tex].7*50=35,50-35=15[/tex] This results in 35 successes and 15 failures. For gluten-free orders 65% order again, so with a sample size of 50 we will have an estimated 32.5 people order again:[tex].65*50=32.5,50-32.5=17.5[/tex] This results in 32.5 successes and 15 failures. Because these are all greater than 10, we can assume normality.
Answer:
Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10
Step-by-step explanation:
An aircraft seam requires 29 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective
Answer:
0.9995 = 99.95% probability that a rivet is defective
Step-by-step explanation:
For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which 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.
An aircraft seam requires 29 rivets.
This means that [tex]n = 29[/tex]
23% of all seams need reworking
This means that [tex]p = 0.23[/tex]
What is the probability that a rivet is defective?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]
0.9995 = 99.95% probability that a rivet is defective
Write down an irrational number with a value between 6 and 7.
Answer:
Three irrational numbers between 6 and 7 are
i )6.2020020002...
ii) 6.5010010001....
iii)6.9010010001.... etc.
•••♪
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
3 irrational numbers with a value between 6 & 7 can be :-
6.101001000....6.533533353333....6.122122212222...If a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?
Answer:
135
Step-by-step explanation:
Answer:
135 cupcakes
Step-by-step explanation:
You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.
Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c
Answer:
Step-by-step explanation:
Greatest common factor of 6x and 9y is 3.
6x + 9y = 3(2x + 3y)
:::::
Greatest common factor of 3c and 11c is c.
3c + 11c = (3+11)c
holt mcdougal chapter 7 online answer key
Answer:
saan po yung pic hindi kopo maindihan
I NEED HELP ASAP PLEASEEEE!!!!! Given the cube, what is the total surface area and volume?
Answer:
864
Step-by-step explanation:
144x6
Answer:
b
Step-by-step explanation:
Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).
Select the correct answer. The graph of the function is shown f(x)=sin(x). What is the domain of the function? PLATO USERS
Answer:
Domain: (−∞,∞),{x|x∈R}
Step-by-step explanation:
the domain will be Domain: (−∞,∞),{x|x∈R} because
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Answer: Option C: (−∞,∞)
Step-by-step explanation:
answer is for plato
can someone help me solve this
(show work)
Answer:
y=x+31.25
Because x stand for cauclator so 31.25 per x so it would end up being x+31.25
Step-by-step explanation:
How many digits are in 385,604 ?
Answer:
6
Step-by-step explanation:
because 385,604 there is 6 digits
Find the measurement indicated. Round to the nearest tenth.
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
If 20% of a number is 12, then what is 30% of the same number
Answer:
18
Step-by-step explanation:
0.2x = 12
Same as: 1/5x = 12
Multiply both sides by 5
x = 60
0.3 * 60 = 18
Quinn correctly answered 72 questions on a test, getting a score of 80%. How many questions were on the test?
Answer:
90
Step-by-step explanation:
Translate this sentence into an equation.
54 is the sum of 15 and Jenny's age.
Use the variable j to represent Jenny's age.
Answer:
54= 15 + J
Step-by-step explanation:
j= 39
Select all of the given trigonometric equations that are true statements. sin(180°) = cos(0°) cos(74°) = sin(16°) sin(20°) = cos(70°) sin(A°) = cos(90° - A°) sin(A°) = cos(180° - A°) cos(140°) = sin(40°)
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.