Answer: it should be 67.5
Step-by-step explanation:
8% of $50 is 4 that gets you $54, and 25 percent of 54 is 13.5 that would be the 25% tip add the two together to get $67.5
Type the area of the rectangle into the box.
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
A = 15 x 2 = 30
Express the gross salary g of a person who earns per hour as a function of the number x of hours worked.
Answer:
Gross salary =G
Number of worked hours =x
Dollar per hour =$12
substitute the given data into the gross salary formula and simplify.
Gross salary = (number of worked hours)
G =(x) (12)
G =12x
Therefore, G(x) =12x
Hence the function is G(x) = 12x
major each of the following angles write it measures right weather it is acute ,obtuse, right angle A straight angle or a reflex angle
Answer:
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
Step-by-step explanation:
an acute angle is an angle less than 90 degrees
an obtuse angle is an angle more than 90 degrees
a right angle is an angle equivalent to 90 degrees (looks like two straight lines perpendicular)
a straight angle is an angle equivalent to 180 degrees (looks like a straight line)
a reflex angle is an angle greater than 180 degrees
so, ...
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
M=t4.5 gives the approximate distance, M, in miles, from a lightning strike if it takes t seconds to hear the thunder after seeing the lightning. If you are 5.1 miles away from the lightning flash, how long will it take the sound of the thunder to reach you.
Answer:
1.13 seconds
Step-by-step explanation:
M = t x 4.5
5.1 = t x 4.5
/4.5 /4.5
t = 1.13 seconds
In how many ways can the letter of word number taken two at a time
Answer:
So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.
Answer:
15
Step-by-step explanation:
There are 6 letters in the word number
This is 6 choose 2
This is a combination
The formula is 6! / ( 2! * (6-2)! )
6! / 2! 4!
(6*5*4*3*2*1) / ( 2*1 * 4*3*2*1)
Canceling like factors
(6*5) / ( 2*1)
30/2
15
There are 15 possible ways to have 6 choose 2
At an arcade, a book of 20 tickets costs $5, a book of 30 tickets costs $7, and a book of 50 tickets costs $10. Would a graph of the relationship between price and number of tickets in a book be a straight line? Explain.
Answer:
yes
Step-by-step explanation:
All the answers you need is at the top
Answer:
I don't know if you need help, but the answer to the question in the picture is indeed A. :)
answer plz. dont put random response bc i will do the same
Answer:
m∠ABC = 53°
Step-by-step explanation:
m∠ABC + m∠CBD = m∠ABD
m∠ABC + 37° = 90°
m∠ABC = 53°
Answer:
53º
Step-by-step explanation:
abc = 90 - 37
abc = 53º
A number y satisfies y²⁴ - 256 = 0. What equation does the number x = y⁴ satisfy?
Answer:
> y²⁴- 256 = 0
> (y⁴)
x-256 = 0
or
x= 256
Step-by-step explanation: i have no idea if i am right but pls lmk if i am wrong have a good day/night (: <3
Convert 68 from hexadecimal to binary.
Answer:
68 = 01101000 (binary)
Answer:
1101000 Sorry i didnt put the right value here now its binary
Step-by-step explanation:
Hex 68 to decimal explained:
The value of HEX 68 in decimal is 104.
The value of HEX 68 in binary is 1101000.
8 8 X 160 = 8
6 6 X 161 = 96
HEX 68 = 104
the binary value is: 1101000
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST
i dont know how to do this, help
Answer:
Gerald should expect the spinner to land on 3, 126 times.
Step-by-step explanation:
Because we don't know what's actually going to happen, we can determine the theoretical probability by multiplying 1/5 by 630 to get 126.
Answer:
126
Step-by-step explanation:
Given that all of the spaces are equally sized, each space has an equal chance of being landed on by the spinner. As there are 5 spaces, the probability of landing on any one space is 1/5. This means that one fifth of the number of spins are expected to land on 3.
630 × 1/5 = 126
Sample Response: First, I would write the rate as a fraction. Then I would divide the numerator by the denominator. Which key phrases did you use in your response? Find an equivalent ratio that compares a quantity to exactly one unit of another quantity. Write the rate as a fraction. Divide the numerator by the denominator.
The key phase that we see in our response is "Divide the numerator by the denominator" (option C).
What is a key phrase?A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.
In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.
Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.
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the sum of two numbers is 19, and their difference is 55, what are the two numbers?
Answer:
sum = 37 + -18 =19
difference = 37 - -18 = 55
Step-by-step explanation:
Find the volume of the cone. Use 3.14 for π. Remember that there is a formula for calculating the volume of a cone.
The volume of the cone is 314cm³
What is volume of a cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base(which does not contain the apex). The distance from the vertex of the cone to the base is the height of the cone.
The volume of the cone is 1/3πr²h
h²= 13²-5²
h = √169 - 25
h = √144
h = 12 cm
V = 1/3πr²h
V = 1/3 ×3.14 × 5² × 12
V = 942/3
V = 314 cm³
therefore the volume of the cone is 314cm³
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A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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Calculate the missing angles a, b, c, and d in the diagram below, giving a reason for each answer
Answer:
see below and attachment
Step-by-step explanation:
a=30°
because, the marked angle of 30° is an alternate interior angle to angle a. Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.
b=50°
because the marked angle of 50° is a vertical angle to angle b. Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.
c=50°
because the marked angle of 50° is a corresponding angle (same side angle) to angle c. These corresponding angles are congruent because the 2 horizontal lines are parallel.
d=100°
because the 3 interior angles of a triangle must add up to 180°. We have 30°, 50°, so the last angle must be 100°. We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°. We have angle a as 30°, angle c as 50°, so angle d must be 100°.
Hope this helps! See attachment for visual.
Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2
how long is each side of the box
Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.
How to find the measure of the sides of the box?To find the measure of the sides of the box we must carry out the following mathematical procedure:
As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.
So this cube has a volume of 125cm³, so its sides would be the cube root of 125.
\(\sqrt[3]{125} = 5\)
According to the above, the length of the sides is 5 taking into account that all the sides are equal.
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You're planning to buy a new computer, monitor, and printer for your office. You've received the following prices from two stores:
Store 1
Computer: $2,500
Monitor: $595
Printer: $398
Store 2
Computer: $2,350
Monitor: $435
Printer: $349
Find the total package price from each store and then calculate how much you'll save if you purchase the less expensive package.
Answer:
price at store 1: $3493price at store 2: $3134savings buying from store 2: $359Step-by-step explanation:
Given two lists of prices, you want to find the total of each and the magnitude of their difference.
CostsThe total package price is the sum of the prices of the components.
store 1: $2500 +595 +398 = $3493
store 2: $2350 +435 +349 = $3134
Savings
The savings if you buy the lower cost package is the difference of the package costs:
$3493 -3134 = $359 . . . . savings
The wholesale price for a chair is $181. A certain furniture store marks of the wholesale price by 22%. Find the price of the chair in the furniture store. Round your answer to the nearest cent as necessary.
To find the price of the chair in the furniture store, we need to calculate the retail price, which is the wholesale price plus the markup. The markup is calculated by multiplying the wholesale price by the markup rate as a decimal:
markup = 0.22 x $181 = $39.82
So the retail price is:
$181 + $39.82 = $220.82
Rounding to the nearest cent, we get the final answer:
The price of the chair in the furniture store is $220.82.
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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i need help with this please
Answer:
y = - 1 and x = 8
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the lune passes through.
The line passes through (8, - 1) with y- coordinate - 1, thus
y = - 1 ← equation of horizontal line.
--------------------------------------------------------------------
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (8, - 1) with x- coordinate 8 , thus
x = 8 ← equation of vertical line
Did Will and Hector volunteer the same number of hours in April? Explain.
Answer:
no
Step-by-step explanation:
8.
Identify the point corresponding to Q.
A. Q′ (−4, 1)
B. Q′ (−1, −4)
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Answer:
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
If f(x)=(-x)^3-x^2-x+15What is f(0) =
Match each expression on the left with an equivalent expression on the right.1. 3x + 0 2. 2x-33. 3/5-13/54. 5/3-x +1/35. 2x-6-3/2x+2+1/2x-6+2x3x-6.9+4.9x-3+xWould like ASAP please
Identify each corresponding expression.
Since 0+anything=anything, then 3x+0=3x.
Using the commutative property, a+b=b+a, we can notice that:
2x-6 = -6+2x
Since 2=1+1, then 2x-3 = (1+1)x-3 = x + x -3 = x-3+x
Observe that 3/5-13/5 = (3-13)/5 = (-10)/5 = -2, and that -6.9+4.9=-2, so those two expressions are the same.
Since 5/3-x+1/3 is equal to 5/3+1/3-x = (5+1)/3-x = 6/3-x=2-x, and that -3/2x+2+1/2x is equal to (-3/2+1/2)x+2 = (-3+1)/2 x +2 = -2/2 x +2 = 2-x, then those two expressions are equal.
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours. Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours. You want to test the hypothesis that women who exercise daily have a different duration of labor than all women. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is s M
Answer:
The estimated standard error is \(s_M = 1.065\).
The t statistic is \(t = 0.845\).
Step-by-step explanation:
The test statistic is:
\(t = \frac{X - \mu}{s_M}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s_M = \frac{s}{\sqrt{n}}\) is the standard error, s is the standard deviation and n is the size of the sample.
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours.
This means that \(\mu = 16\)
Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours.
This means that \(n = 35, X = 16.9, s = \sqrt{39.7} = 6.30\)
The estimated standard error is:
\(s_M = \frac{s}{\sqrt{n}} = \frac{6.30}{\sqrt{35}} = 1.065\)
The estimated standard error is \(s_M = 1.065\).
Calculate the t statistic.
\(t = \frac{X - \mu}{s_M}\)
\(t = \frac{16.9 - 16}{1.065}\)
\(t = 0.845\)
The t statistic is \(t = 0.845\)
A plane has an airspeed of 120 km divided by h It is flying on a bearing of 71
degrees while there is a 26 km divided by h wind out of the northeast (bearing 225 degrees) .What are the ground speed and the bearing of the plane?
Answer:
Ground speed is 61.67 km /h.
Step-by-step explanation:
Ground speed of aircraft is obtained b the sum of aircraft speed minus the current speed and direction.
For this the given formula is
81-27 cos (255 - 81 )
53.704 km/h
27 sin ( 225 - 81 ) = 2.822 km /h
so ground speed =
= 61.67 km /h
#7777
what is the value of -2/3x0.6÷ 6/5
Answer:
-0.33333333333 in other word it o.3 with line over 3
Step-by-step explanation:
Joe collected 94 stamps altogether. He collected 27 in April and 34 in May. How many did he collect in June?
Answer:
33
Step-by-step explanation:
From what we know in April and May combined Joe has collected 61 stamps (27+34=61). To then work out how many Joe collected in June you would take the 61 we know he has already got away from the grand total of 94 (94-61=33) this means in June he collects 33 stamps. Hope this helps :)