8. Find the value of x in the isosceles triangle.
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.
How much more will she be earning per hour at her new job?
PLEASE SHOW YOUR WORK!!
Answer:
Greta will be earning 3.6/h more at her new job.
Step-by-step explanation:
To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.
To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.
Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.
I was challenged to write this in a single equation:
[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]
=$3.6/h
/ means a fraction bar
\ means division
Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.
Drag the cards to create a number that matches these rules. • The number ends in the tenths place. 50 is the nearest ten when rounding 3. 8 4
What is 8/12 + A/12=2/b
Answer:
A = -4
B = 12
Step-by-step explanation:
A is -4 because 8 - 4 is 2. B is 12 because both of the denominators are 12 so the answer's denominator should also be 12.
Hope it helps!
Is 6/10 more than 3/4
Answer:
3/4 is greater
Step-by-step explanation:
3/4 > 6/10
Answer:
3/4 is more
Step-by-step explanation:
divide 6/10 by 2 to get a simpler fraction. that will be 3/5. to make 3/5 and 3/4 have a common denominator you need to multiply 3/5 by 4 which is 12/20, then 3/4 by 5 which is 15/20.
A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)
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Answer:
(3.4)
Step-by-step explanation:
The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.
Then the coordinates of point R are ...
(1.0) +(2.4) = (3.4)
__
Additional comment
We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.
$99.99, 19% discount
Answer:
$80.99
Step-by-step explanation:
Turn the percentage into a decimal.
19% -> 0.19
Multiply.
99.99 * 0.19 ≈ 19
Subtract.
99.99 - 19 = 80.99
Best of Luck!
40% of
a number is 8 more than the
number
Which is the number
Consider the sequence 4,-12,36,-108... is it a arithmetic sequence or a geometric sequence justify your answer
Answer:
Geometric Sequence
Step-by-step explanation:
It's a geometric sequence because it has a common ratio of -3.
The price of an item yesterday was $40. Today, the price fell to $22. Find the percentage decrease.
Answer:
45%
Step-by-step explanation:
40 * .45 = 18
40-18 = 22
The percentage decrease of an item would be 45%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We can determine the value of the percentage decrease by the following formula,
percentage decrease = (initial value - reduced value) / initial value × 100%
As per the given question, we have
initial value = $40, and reduced value = $22
Substitute the values in the above formula, and we get
percentage decrease = (40 - 22) / 40 × 100%
percentage decrease = (18) / 40 × 100%
percentage decrease = 0.45 × 100%
Apply the multiplication operation, and we get
percentage decrease = 45%
Thus, the percentage decrease of an item would be 45%.
Learn more about the percentages here:
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HELP ASAP PLEASE!
The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters
Answer:
Step-by-step explanation:
The area of each rectangle is Length x width
Therefore Area of rectagle is 8cm x 10 cm=
A= 80 cm 2
There are three rectangles with the same measure so multiply the area by 3
80cm squared x 3= 240 cm 2
Now find the are of the triangle:
A- 1/2 x base x height
Base = 8cm
Height = 6.9 cm
A= (1/2) (8cm) (6.9cm)
A= (1/2) (55.2 cm squared)
A= 27.6 cm squared
Since there are two triangle faces with the same dimensions take the area and multiply it by 2
27.6 cm squared times 2 = 55/2 cm squared
Now add up the area of the rectangles and the area of the triangles.
Rectangles= 240 cm squared
Triangles 55.2 cm squared
240cm sq + 55.2 cm sq.= 295.2 cm squared
One number is one more than a second number. Five times the first is 6 less than 4 times the
second. Find the numbers.
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Answer:
the numbers are -10 and -11
Step-by-step explanation:
Let x represent the second number. Then the first number is x+1, and the relation can be written ...
5(x+1) = 4x -6
x = -11 . . . . . . . . subtract 4x+5
The first number is -10; the second number -11.
Which value is an input of the function?
-14
-2
0
4
Answer:
4
Only answer on the x-axis
Answer:
It's 4.
Step-by-step explanation:
Did the test on edge2021
When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?
Answer: 3 feet tall
Step-by-step explanation:
50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.
Which explains why a caterpillar might look like a dangerous snake? *
(10 Points)
O A. The caterpillar and the snake have the same DNA.
B. The caterpillar and the snake have the same predators.
O C. An anti-predator adaptation has evolved in the caterpillar.
D. A behavioral adaptation has evolved in the caterpillar.
Answer:
C - An anti-predator adaptation has evolved in the caterpillar.
Step-by-step explanation:
An anti-predator adaptation has evolved in the caterpillar. By caterpillar might look like a dangerous snake.
What is adaptation?The term adaption refers to that, In biology, there are three related definitions of adaptation. First, natural selection, a dynamic evolutionary process, adapts.
The organisms to their environments, improving their evolutionary fitness. Second, it is a state that the populace has attained throughout that process.
Both predator and prey species use a variety of camouflage strategies to survive, including adopting the appearance of fearsome or unappealing creatures.
Therefore, The right option (C) is correct.
Learn more about adaptation here:
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in which equation is y a nonlinear function of x ? will Mark brainiest is for the correct answer please help me
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Answer:
(B)
Step-by-step explanation:
The power of x is 1 everywhere except equation (B), where it is 1/2.
Equation B is a nonlinear function of x.
Answer:
Step-by-step explanation: D
0.345 times 83.8 I forgot how to do it .w.
Answer:
28.911
Step-by-step explanation:
you just have to open up a calculator lol
please help.................
Answer:
Is that thick line an equal or a minis sign? I cant see it.
2) 8x +9y = 82
2x + 2y = 20
What is the derivative of sech u with respect to x?
Answer:
[tex]\displaystyle \frac{dy}{dx} = -u'sech(u)tanh(u)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
*Note:
This is a known derivative (apply trigonometric differentiation).
Step 1: Define
Identify
[tex]\displaystyle y = sech(u)[/tex]
Step 2: Differentiate
Hyperbolic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = -u'sech(u)tanh(u)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?
Answer:
Step-by-step explanation:
1.40x = 180.49
x= $128.92
55 points and brainliest
What is the equation of the function that is graphed as line a?
y = 2 x - 1
y = - x - 1
y = - x
y = 3 x
Answer:
B. y = - x - 1Step-by-step explanation:
Line a is declining and has the y-intercept of -1
The equation with negative slope and - 1 y-intercept is:
y = - x - 1Correct option is B
55 points and brainliest
What is the equation of the function that is graphed as line a?
y = 2 x - 1y = - x - 1y = - xy = 3 xOption:-[tex]y = - x - 1[/tex]
What is the definition of Spike protein?
Please helppp
Answer: a glycoprotein that protrudes from the envelope of some viruses (such as a coronavirus) and facilitates entry of the virion into a host cell by binding to a receptor on the surface of a host cell followed by fusion of the viral and host cell membranes
la medida de un angulo externo de un triangulo y la suma de las madidas de los dos angulos internos remotos son
how much would 11 trillion divided equally amongst 300 million people be? Time sensitive question
Answer:
36666.6666667
Step-by-step explanation:
Cant really be equal
Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.
Answer:
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
Step-by-step explanation:
The weights should be within 0.5% of the actual weight measured.
15.0 pounds
0.005*15 = 0.075
Tolerance of 0.075 pounds
15 - 0.075 = 14.925 pounds
15 + 0.075 = 15.075 pounds
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
Please help! I need by tomorrow
Children’s pony ride at a zoo please help I mark brainliest
Answer:
78.5 feet OR (25 x pi) feet
Step-by-step explanation:
You need to find the circumference.
C = 25 x 3.14
C = 78.5 feet
OR
C = 25 x pi
Hope that helps!
What is the slope of the line: Y= -5x subtract 15?
Answer:-5
Step-by-step explanation:
m is considered the slope
y=mx-15
And in this situation m=-5
So slope = -5
13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!
Answer:
I think its 144!!!!!!!!!!!!!!!!!!
Answer:
Diagram 2 (Bottom diagram)
Step-by-step explanation:
The ratio is twice as many (2)
2:1