Answer:
$96.74
Step-by-step explanation:
The original cost of the Amazon echo = $99.99
Then we have a 10% sale which we are going to subtract from the original cost.
= $99.99-(99.99x10%)
= 99.99-9.999
= $89.991
Then a tax of 7.5% was added
= $89.991 + (89.991 x 7.5%)
= 89.991 + 6.749325
= $96.740325
Therefore the cost of the echo including tax is $96.74
Norma Jean makes $25 per hour. She works 35 hours per week. She gets a commission of 15% on her total sales. How much should Norma sell to make $4,500 in a single week?
Norma needs to make sales worth $ _____ to make $4,500.
Answer:
$24,166.67
Step-by-step explanation:
Let carry out the breakdown:
So Norman Jean makes a flat rate of $25 per hour, also she works 35 hours per week.
From the above statement Jean will make => 25 × 35 = $875 in a single week without commission.
For Jean to make $4500 in a week, we derive an equation for this:
875 + x = 4500;
x is the amount of commission Jean has to get in a week to make up to $4500 in that week => x = 4500-875; x = $3625.
Let y be the amount of sales Jean has to make to get a commission of x, we derive the following equation: 0.15 × y = x.
y = x ÷ 0.15 => 3625 ÷ 0.15
y = 24166.67.
So for Jean to meet her target of $4500 in a single week, Jean needs to make a sale worth $24,166.67.
Pls help and have a good day
Answer:
6^5
Step-by-step explanation:
You too, btw!
Answer:
6 with a small 5 on the side so press the button with the a and the small be then put 6 and 5 as the small number
exponents are just 6 x 6 x 6 x 6 x 6 just count the number of 6's and put it as the little number if that names sense
Step-by-step explanation:
Sammy solved 68 math problems in 17 minutes. At what rate did Sammy solve the math problems?
Answer:
4 math problems per minute
Step-by-step explanation:
68 ÷ 17 = 4
4 math problem per minute
Answer:
9.71428571429 or 9.7
Step-by- step explanation:
ok so for this we need to divide 68 into 17 , we get the large number above.
Segment GH is a mid segment of triangle JKL.Select all of the equations that could be used to find the value of x.
Answer:
A. 2(5x + 2) = 3x + 32
F. ½(3x + 32) = 5x + 2
Step-by-step explanation:
GH = 5x + 2
KL = 3x + 32
Based on the midsegment theorem,
½(KL) = GH
That is:
½(3x + 32) = 5x + 2
Or
2(GH) = KL
That is:
2(5x + 2) = 3x + 32
A jet travels 4648 miles against the wind in 8 hours and 5368 miles with the wind in the same amount of time. What is the rathe of the jet in still air and what is the rate of the wind?
Answer:
The rate of the jet in still air is 738 mph and the rate of the wind is 90 mph
Step-by-step explanation:
Check: (738+90)*6 = 648*6 = 3888 mike's against the wind
(738-90)*6 = 828*6 = 4968 miles with the wind
Evaluate −4(14)6x for x=13. Enter your answer as a fraction in simplest form in the box.
What is the price of an $100 handbag during a 25% clearance sale?
Answer:
75 dollars
Step-by-step explanation:
Which expression is equivalent to
14x + 35 - 21y
Expression 1: 2x + 5 - 3y
Expression 2: 7(2x + 5 - 3y)
Expression 3: 7xy(2 + 5 - 3)
Expression 4: 7x(2+5+3y)
Answer:
Expression 1
Step-by-step explanation:
14x + 35 - 21y
[tex]14x + 35 - 21y \\ \frac{14x}{7} + \frac{35}{7} - \frac{21y}{7} \\ 2x + 5 - 3y[/tex]
Answer:
Its Expression 2: 7(2x + 5 - 3y)
Step-by-step explanation:
just got it right
The four-sided geometric figure pictured is called a parallelogram. One feature of parallelograms is that opposite sides have equal lengths.
A parallelogram is shown. It is folded from one point to another to form 2 triangles.
The dotted line splits the parallelogram into two triangles. What is true about the congruency of the two triangles?
More information is needed.
The triangles can be proven congruent using SSS.
The triangles can be proven congruent using HL.
The triangles are not congruent.
Answer: The triangles can be proven congruent using SSS.
HOPE THIS HELPS
CAN YOU PLEASE GIVE ME BRAINLIEST
Answer:
The triangles can be proven congruent using SSS.
Step-by-step explanation:
The four-sided geometric figure pictured is called a parallelogram. One feature of parallelograms is that opposite sides have equal lengths.
A parallelogram is shown. It is folded from one point to another to form 2 triangles.
The dotted line splits the parallelogram into two triangles. What is true about the congruency of the two triangles?
More information is needed.
The triangles can be proven congruent using SSS.
The triangles can be proven congruent using HL.
The triangles are not congruent.
HELP PLSSSS ASAP ILL MARK AS BRAINLIEST AND 30 POINTS
Answer:
A- 4.50
B- unit price is 2 dollar per a hat. Price would be 24 dollars
C- unit price is .40
D- 69
Step-by-step explanation:
A figure has been dilated from center 0 by a scale factor of = 7/6 . What scale factor would shrink the dilated figure back to the original size?
Answer:
6/7
Step-by-step explanation:
1 x 7/6 x 6/7 = 1
A scale factor of 6/7 would shrink the dilated figure back to its original size.
To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:
Reciprocal of 7/6 = (6/7)
So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.
To know more about scale factor
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-5(2x - 7) + 24 = 89
Answer:
x=-3
Step-by-step explanation:
First you must distribute -5 to 2x and -7
so you get
-10x+35+24=89
then you will subtract 35 from both sides and get
-10x+24=54 then you will subtract 24 from each side and get
-10x=30 then you will divide -10 and get
x=-3
13. The programmer at a local public radio station is compiling data on listeners who stream podcasts. An executive for the national broadcaster has communicated that the overall population mean is 20,500 with a standard deviation of 2,180. The local programmer has a sample of 30 podcasts for her station. By the central limit theorem, which interval do about 99.7% of the sample means fall within?
A. 20,102 and 20,898
B. 20,282 and 20,718
C. 19,306 and 21,694
D. 19,704 and 21,296
Answer:
C. 19,306 and 21,694
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, for samples of 30:
Mean: 20,500
Standard deviation: [tex]s = \frac{2180}{\sqrt{30}} = 398[/tex]
99.7% of the sample means fall within 3 standard deviations of the mean, by the Empircal Rule with the Central Limit Theorem:
Lower bound: 20500 - 3*398 = 19,306
Upper bound: 20500 + 3*398 = 21,694
So the correct answer is option C.
what is the answers to 3 1/4 *1 1/3 this is a 15 point offer!!!
Answer:
3 1/4*1 1/3 = 4 1/3
Step-by-step explanation:
I have a confusion is it 3 1/4 *1 1/3 does 3 and 1 have space or 31/4 *11/3 fully joined!?
Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(−3, 6, 3) is "twice the distance from P to" B(6, 2, −3).
Answer:
Equation of Sphere = [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + [tex]z^{2}[/tex] - 18x - 4/3y +10z + 142/3 = 0
Step-by-step explanation:
Data Given:
P = (x,y,z)
Distance from P to A (-3,6,3) = Twice the distance from P to B(6,2,-3)
Solution:
Find the equation of the sphere:
It is given that:
PA = 2PB
Squaring both sides:
[tex](PA)^{2} = (2PB)^{2}[/tex]
[tex](PA)^{2} = 4 (PB)^{2}[/tex]
[tex](x - (-3))^{2}[/tex] + [tex](y - 6)^{2}[/tex] + [tex](z-3)^{2}[/tex] = 4 x [tex](x-6)^{2}[/tex] + [tex](y-2)^{2}[/tex] + [tex](z-(-3))^{2}[/tex]
Solving the above equation:
[tex](x + 3))^{2}[/tex] + [tex](y - 6)^{2}[/tex] + [tex](z-3)^{2}[/tex] = 4 x {[tex](x-6)^{2}[/tex] + [tex](y-2)^{2}[/tex] + [tex](z + 3))^{2}[/tex]}
[tex]x^{2}[/tex] + 9 + 6x + [tex]y^{2}[/tex] + 36 - 12y + [tex]z^{2}[/tex] + 9 - 6z = 4 { [tex]x^{2}[/tex] + 36 - 12x + [tex]y^{2}[/tex] + 4 - 4y + [tex]z^{2}[/tex] + 9 + 6z}
[tex]x^{2}[/tex] + 9 + 6x + [tex]y^{2}[/tex] + 36 - 12y + [tex]z^{2}[/tex] + 9 - 6z = 4[tex]x^{2}[/tex] + 144 - 48x +4[tex]y^{2}[/tex] + 16 - 16y + 4[tex]z^{2}[/tex] + 36 + 24z
Putting the right hand side = 0 and solving the equation:
[tex]x^{2}[/tex] - 4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] - 4[tex]y^{2}[/tex] + [tex]z^{2}[/tex] - 4[tex]z^{2}[/tex] + 6x + 48x - 12y +16y -6z - 24z + 9 + 36 + 9 -144 - 16 - 36 = 0
-3[tex]x^{2}[/tex] - 3[tex]y^{2}[/tex] -3[tex]z^{2}[/tex] + 54x + 4y -30z -142 = 0
Taking (-) common
- ( 3[tex]x^{2}[/tex] + 3[tex]y^{2}[/tex] + 3[tex]z^{2}[/tex] - 54x - 4y +30z + 142) = 0
3[tex]x^{2}[/tex] + 3[tex]y^{2}[/tex] + 3[tex]z^{2}[/tex] - 54x - 4y +30z + 142 = 0
dividing the whole equation by 3
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + [tex]z^{2}[/tex] - 54/3x - 4/3y +30/3z + 142/3 = 0
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + [tex]z^{2}[/tex] - 54/3x - 4/3y +30/3z + 142/3 = 0
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + [tex]z^{2}[/tex] - 18x - 4/3y +10z + 142/3 = 0
The equation of the sphere for all surface point P such that [tex]AP = 2\cdot BP[/tex] is [tex]x^{2}+y^{2}+z^{2}-18\cdot x -\frac{4}{3}\cdot y + 10\cdot z +\frac{142}{3} = 0[/tex].
Procedure - Determination of the equation of a sphereGeometric locus and Pythagorean expansionMathematically speaking, we have the following geometric locus:
[tex]AP = 2\cdot BP[/tex] (1)
Then, we expand the expression presented above by Pythagorean theorem, used to determine the length of a line segment in the field of analytical geometry:
[tex]\sqrt{(x +3)^{2} + (y-6)^{2} + (z-3)^{2}} = 2\cdot \sqrt{(x-6)^{2}+(y-2)^{2}+(z+3)^{2}}[/tex]
[tex](x+3)^{2}+(y-6)^{2}+(z-3)^{2} = 4\cdot (x-6)^{2}+4\cdot (y-2)^{2}+4\cdot (z+3)^{2}[/tex]
ResolutionNow we expand and simplify the resulting expression:
[tex]x^{2}+6\cdot x + 9 + y^{2}-12\cdot y + 36 + z^{2}-6\cdot z + 9 = 4\cdot (x^{2}-12\cdot x +36) + 4\cdot (y^{2}-4\cdot y +4) + 4\cdot (z^{2}+6\cdot z + 9)[/tex]
[tex]x^{2} + y^{2} + z^{2} + 6\cdot x -12\cdot y - 6\cdot z +54 = 4\cdot x^{2} +4\cdot y^{2} + 4\cdot z^{2} -48\cdot x -16\cdot y +24\cdot z +196[/tex]
[tex]3\cdot x^{2} + 3\cdot y^{2} + 3\cdot z^{2} -54\cdot x -4\cdot y + 30\cdot z + 142 = 0[/tex]
[tex]x^{2}+y^{2}+z^{2}-18\cdot x -\frac{4}{3}\cdot y + 10\cdot z +\frac{142}{3} = 0[/tex] (2)
This expression corresponds to the general form of the equation of the sphere for all surface point P such that [tex]AP = 2\cdot BP[/tex]. [tex]\blacksquare[/tex]
To learn more on geometric loci, we kindly invite to check this verified question: https://brainly.com/question/521553
4. Evaluate 5x2 + 16y for x = 2 and y = -3
Answer:
-28
Step-by-step explanation:
=5(2)²+16(-3)
=5(4)+(-48)
=20-48
=-28
Answer:
-28
Step-by-step explanation:
Expression: 5x²+16y
x=2 and y=-3
We'll substitute x as 2 and y as -3
5(2)²+16(-3)
Following Order of Operations, do the exponent part first
5(4)+16(-3)
Multiply
20-48
subtract
-28
Hope this helps
If 50% of the students in your class like chocolate cake, how many students are in your class if 16 students like chocolate cake? hurry!
The required number of students in the class is given as 32, as per the given condition.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Let the number of students in the class be x,
according to the question,
50% of x = 16
x = 16/50%
x = 16/0.5
x = 160/5
x = 32
Thus, the required number of students in the class is given as 32, as per the given condition.
Learn more about percentages here:
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Which number is irrational?
1) -4
2) 2/9
3) [tex]\sqrt{11}[/tex]
4) 8.25
Find the coordinates of the midpoint AB
Match each mixed number to it's improper fraction.
Answer:
9/2
5/3
13/4
3/2
Step-by-step explanation:
10 to the power of -3
Answer:
its 0.001
Step-by-step explanation:
Hope this helps :)
Answer:
0.001
Step-by-step explanation:
10^-3 = 0.001
You don't multiply since it's a negative power.
Ace
HEEELPPP WILL DO ANYTHING FOR IT
Answer:
well hunny child whats the equation y'all use?
Step-by-step explanation:
Answer:
i wish i could help but what ik bout this is dat every triangle is 180* if dat help :(
but hey keep trying u can do dis :) <3
What is the answer to 3x^2+2x^2+5x^2 ?
Answer:
10x²
Step-by-step explanation:
all have the same exponential value so you can add them directly
Create an algebraic expression
Answer:
3x-5+2y
Step-by-step explanation:
Wasnt much detail to the question so i created a random algebra expression you cannot have an equal sign for an expression because that would change it from an expression to an equation.
7.
2. What is the product of 50 and 100?
2
50
O 150
O 5,000
.
Answer:
it's 5000
Step-by-step explanation:
50*100=5000
hope it helps:p
HELP ME QUICK!!!!.!.!..
Given the diagram to the right,determine m
Answer:
The measure of Angle S is 75 (degrees).
Step-by-step explanation:
Key skills needed to solve this are: Sums of a triangle, one variable equation, operations
1) All the angles in a triangle add up to equal 180 degrees.
2) We can use this to say that Angle S + Angle R + Angle T is 180 degrees.
3) Subsitute in the expression for each angle: 7x+40+8x+25+5x+15 = 180
4) Combine like terms
7x + 8x + 5x is 20x & 40 + 25 + 15 is 80
This means that 20x + 80 = 180
5) Move 80 to the right side: 20x = 100
6) Divide by 20 andbget x equal to 5
7) To find Angle S, you need to plug in 5 into the expression.
7x + 40 = 7(5) + 40 = 35 + 40 = 75 degrees
The measure of Angle S is 75
Solve the linear equation below for x. *
3x + 4 = 8x – 9
A. 2.6 B. 1 C. 1.09 D. 2
HELPP!!! DON'T ANSWER IF YOU ARE NOT SURE PLEASE !!
Select the reason why these triangles are similar. If they are not, select “not similar”
Well we need what reasons they could be similar. Is that all you are given or are there options?
How to calculate slope from a line on a graph