Answer:
He earned $146.875
Step-by-step explanation:
12.5 an hour for 11.75 hours
So you just do 11.75 x 12.5 which is 146.875
Answer:
146. 88
Step-by-step explanation:
12.50×11.75
=146.88
7. List the following in increasing order.
0.65, 6.5%, 2/3, 1/2
Answer:
6.5%, 1/2, 0.65, 2/3
Step-by-step explanation:
6.5%=6.5%, 1/2=x/100=50%, 0.65=.65/1.00=x/100=65%, 2/3=x/100=66.66%
The increasing order of the given set of numbers is 0.065>0.5>0.65>0.6667.
How to compare to decimals?Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.
Given that, 0.65, 6.5%, 2/3, 1/2
Here, 0.65, 6.5/100 =0.065, 0.6667, 0.5
By comparing decimals, we get
0.065>0.5>0.65>0.6667
Therefore, the increasing order is 0.065>0.5>0.65>0.6667.
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Only 18 percent of the pieces in the box were unpainted. If 738 pieces were painted,
how many pieces were in the box?
Answer:
This required editing, so my answer was incorrect. Here is the correct method of doing this question.
Step-by-step explanation:
Remark
Be careful how you set this up. It is easy to get the question backwards.
Givens.
Let x be the total that is in the box.
18% of the pieces in the box were unpainted.
782 pieces in the box were painted.
Solution
You cannot use 18% and 738 cannot be used without some modification to one of them. The only thing you can modify is the %.
% in the box that painted = 100 - 18 = 82
So 82% of the pieces in the box were painted.
Equation
(82/100)x = 738 Multiply both sides of the equation by 100
82x = 738* 100 Combine the right
82x = 73800 Divide both sides of the equation by 82
82x/82 = 73800/82
x = 900
Answer: x = 900
Answer:
Consider 18% a fraction, 18/100.
What we know;
18% of the ___ pieces are left unpainted.738 of the pieces are painted.Let's figure out the percentage of the boxes that were painted:-
100% - 18%
= 82% of the pieces are painted.
Now we set up an equation, to find the total amount of pieces:
82/100(painted) x p(total number of pieces) = 738(unpainted)
82/100p = 738
0.82p = 738
/0.82 /0.82
p = 900 total pieces.
(3х^2y^3)^3 =
3x^5y^6
9х^6y^9
27x^5y^6
27x^6y^9
Answer:
27x^6y^9
Step-by-step explanation:
The outside exponent multiplies all of the inside exponents. The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
__
(3x^2y^3) = (3^3)(x^(2·3))(y^(3·3)) = 27x^6y^9
Solve using tangent and cosine
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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What is the area of the figure below?
Answer:
Step-by-step explanation:
You haven't given enough information. I will assume that the drawing shows a segment of a circle with height 0.5 m and chord length 1.4 m.
radius of circle = (1.4² + 4·0.5²)/(8·0.5) = 0.74 m
The chord subtends a central angle of θ = 2·arcsin(1.4/(2·0.5)) = 2arcsin(1.4) radians.
area of segment = r²(θ-sinθ)/2 ≅ 0.51 m²
Answer:
hey they deleted my answer i was branest i think 1,000,000 don't report
Step-by-step explanation:
Maria score 70% on a spelling test if there are 40 total words how many did he get right?
Answer:
28 words Maria got right
Step-by-step explanation:
70% of total words Maria got right
Therefore:
\(\frac{70}{100} *40= 28\)
plz help and ty very much
Answer:
True
Step-by-step explanation:
For a compound inequality using the word "or" to be true, all you need is for one of the parts to be true.
-6 < 7 is true
-2 <= -2 is also true
Answer: True
simify the expression (-11/2 x + 3) -2(-11/4 x -5/2)
In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?
Answer:
They make 4 approximately tons of oxygen each year.
Step-by-step explanation:
( 250lbs × 32 ) ÷ 2000 = 4t
250 pounds because each tree makes about 250 pounds of oxygen a year.
× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.
÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.
the volume of a cylinder is 196x in. 3 and the hight of the cylinder is 1 in. what is the radius of the cylinder
The radius of the cylinder is 7. 9 in
How to determine the radiusFirst, we need to know the formula for volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters of the formula are expressed as;
V is the volume of the cylinderr is the radius of the cylinder h is the height of the cylinderFrom the information given, we have that;
Substitute the values
196 = 3.14 × 1 × r²
Divide both sides by the values
r² = 62. 42
Find the square root of both sides
r = 7. 9 in
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Circle the benchmark that is closest to each sum or different and it’s number 3
Write a 2-column proof with an statement & reason column
Answer:
Given that,
AB is congruent to CB
BD is a median of AC
To prove: Triangle ABD and Triangle CBD are congruent.
Proof:
From given we get that,
\(AB\cong CB\)Also, we have BD is a median of AC.
BD cuts the side AC into two equal parts.
D is the midpoint of AC.
we get,
\(AD=CD\)Also BD is the common side for both triangles ABD and CBD
From the definition:
SSS Congruence rule: If three sides of one triangle are equal to the corresponding sides of another triangle, then the triangles are congruent.
Using SSS Congruence rule, we get that,
\(\Delta ABD\cong\Delta CBD\)Hence proved.
If f(x) = x^3 - 2x^2 , which expression is equivalent to f(i)?
O -2 + i
O -2 - i
O 2 + i
O 2 - i
\(\text{Given that,}~f(x)=x^3-2x^2\\\\f(i)=i^3-2i^2\\\\~~~~~~=i^2 \cdot i -2(-1)~~~~~;[i^2=-1]\\\\~~~~~~=-i+2\\\\~~~~~~=2-i\)
The expression equivalent to f(i) is 2-i.
What is expression?The expression is mathematical statement which consist of variables, numbers and connected by at least one operation.
Given that, a function f(x) = x³ - 2x², we need to find the expression equivalent to f(i),
To find the same we will put x = i,
So,
f(i) = i³ - 2i² [i = √-1]
= (√-1)³ - 2(√-1)²
= -i - 2(-1)
= -i+2
= 2-i
Hence, the expression equivalent to f(i) is 2-i.
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Of the travelers arriving at a small airport, 60% fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on major airlines, 50% are traveling for business reasons, whereas 70% of those arriving on private planes and 80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport.
What is the probability that the person
a. is traveling on business?
b. is traveling for business on a privately owned plane?
c. arrived on a privately owned plane, given that the person is traveling for business reasons?
d. is traveling on business, given that the person is flying on a commercially owned plane?
Answer:
a) 0.55 = 55% probability that the person is traveling on business
b) 0.14 = 14% probability that the person is traveling for business on a privately owned plane.
c) 0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.
d) 0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
Question a:
50% of 60%(major airlines)
70% of 20%(privately owned airplanes)
80% of 100 - (60+20) = 20%(comercially owned airplanes). So
\(p = 0.5*0.5 + 0.7*0.2 + 0.8*0.2 = 0.55\)
0.55 = 55% probability that the person is traveling on business.
Question b:
70% of 20%, so:
\(p = 0.7*0.2 = 0.14\)
0.14 = 14% probability that the person is traveling for business on a privately owned plane.
Question c:
Event A: Traveling for business reasons.
Event B: Privately owned plane.
0.55 = 55% probability that the person is traveling on business.
This means that \(P(A) = 0.55\)
0.14 = 14% probability that the person is traveling for business on a privately owned plane.
This means that \(P(A \cap B) = 0.14\)
Desired probability:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.55} = 0.2545\)
0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.
Question d:
Event A: Commercially owned plane.
Event B: Business
80% of those arriving on other commercially owned planes are traveling for business reasons.
This means that:
\(P(B|A) = 0.2\)
0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.
What is -9 as a fraction?
Answer:
\(-\frac{9}{1}\)
Step-by-step explanation:
Its just the same way as making positive 9
a fraction, but just add the negative sign.
Hope this helps :))
Pyramid A with height 8 has lateral edges of length 10. Pyramid B with height 12 has lateral edges of 15. Both A and B are regular square pyramids. What is the ratio of the heights of the pyramid?
Answer:
8:12
Step-by-step explanation:
The heights of both the pyramids are stated in the question so...
Pyramid A height: 8
Pyramid B height: 12
The ratio is (pyramid A : pyramid B) so our final answer should be...
8:12
can anybody help with this ?
Answer:(
fx).(gx)=D. -40x^3+25x^2+45
Step-by-step explanation:
Choose True or False for each statement.
58.07 > 58.4
Choose...
29.6 = 29.600
Choose...
140.23 < 140.203
Choose...
108.505 > 108.5
Choose...
Answer:
58.07 > 58.4 is false.
29.6 = 29.600 is true.
140.23 < 140.203 is false.
108.505 > 108.5 is true.
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
is (-7/8) with exponent 12, positive or negative?
Answer:
There is a 100% possibility that it can be Positive
Step-by-step explanation:
Because it will actually equal 0.201417238
You don't believe me?
Then use a calculator, and if you still don't believe me, the truth is that you're wrong!
But hope this helps
1000000 in standard form
Answer:
1000000 = 10⁶
Step-by-step explanation:
There are 6 zeroes in 1000000, so to convert it to its standard form we must take 6 as the exponent = 10⁶
Skyzone charges $20 per month and $4 each time you visit. Zipcity charges $30 per month
and $2 each time you visit. How many visits would it take in one month for both jump places to
be the same total price? What is the total cost for each gym?
Answer: 5 visits
Step-by-step explanation:
Let x be months and y be visits. We will write expressions for both Skyzone and Zipcity.
Skyzone:
$20x + $4y
Zipcity:
$30x + $2y
Since we want to see when they will be equal, we will set the expressions equal to each other and solve. We are counting the number of visits per month, so we will set x equal to 1.
$30(1) + $2y = $20(1) + $4y
$30 + $2y = $20 + $4y
$10 + $2y = $4y
$10 = $2y
5 = y
5 visits.
Pls help need it quickly
The graph shows that the total fare changes by $3 and the fare for 6 kilometers is $22
What is the line graph?We can see that the line graph is the method that we could be able to use to present information in two axis. There is a vertical axis and there is a horizontal axis.
In order to obtain the fare that could be charged per kilometers then we have to use the formula for the slope of the graph as;
m = \(y_{2} - y_{1} /x_{2} - x_{1}\)
We would now have;
m = 16 - 4/ 4 - 0
m = 3
Thus the fare is seen to change by $3 each time we board.
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expand and simplify
5(3y+2)+5(5y+2)
Answer:
Step-by-step explanation:
15y + 10 + 25y + 10
Answer:
Solution here,
Step-by-step explanation:
For simplify
First multiply the terms inside the brackets with the term outside the bracket i.e 5.
5(3y+2)+5(5y+2)
15y+10+25y+10
35y+20
PLEASE ANSWER BOTH QUESTIONS!
The correct statement regarding the transformation is given as follows:
Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.
The true statements about the dilation are given as follows:
Dilating a line segment can change the length.Dilating a polygon can change the area.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:
k = 0.5.
The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.
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How do you figure out division expression with answer of 19.1
Answer:
its 5823
Step-by-step explanation:
help urself
The diameter of a child's bicycle wheel is 12 inches. Approximately how many revolutions of the wheel will it take to travel 1,200 meters? Use 3.14 for π and round to the nearest whole number. (1 meter ≈ 39.3701 inches)
Answer:
First, we need to convert 1,200 meters to inches:
1,200 meters * 39.3701 inches/meter = 47,244.12 inches
Next, we need to find the circumference of the wheel:
Circumference = π * Diameter
Circumference = 3.14 * 12 inches
Circumference = 37.68 inches
To find the number of revolutions, we can divide the total distance traveled (47,244.12 inches) by the distance traveled per revolution (37.68 inches):
47,244.12 inches ÷ 37.68 inches/revolution ≈ 1,254 revolutions
Rounding to the nearest whole number, it will take approximately 1,254 revolutions of the wheel to travel 1,200 meters on a child's bicycle.
Suzanna uses a 1/4 cup measuring scoop to make her coffee. If she needs to fill her coffee filter with 2 cuos of coffe grounds,how many 1/4 cups scoops will she need to use
Answer:
8
Step-by-step explanation:
1/4 times 8 is 2
Find the simple interest paid on a deposit of $225 at a rate of 1.5% over 2 years.
Answer:
$6.75
Step-by-step explanation:
Interest = \(\frac{1.5}{100}\) × 2 × $225
= $6.75
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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