Answer:
[tex]2x - 18 \div 17 - x = 2( - 8) - 18 \div 17 - ( - 8) \\ - 16 - 18 \div 17 + 8 \\ = - 34 \div 25[/tex]
On a scale drawing of the front of a square earring, each side of the earring is 3.2cm. The scale from the earring to the drawing is 4mm to 2cm. What is the area of the front of the actual earring?
40.96 mm
3.2(10) = 32; 3.2 cm → 32 mm
each side of scale drawing is 32 mm
2(10) = 20; 2 cm → 20 mm
scale is 4 mm to 20 mm
[tex]\frac{4}{20}= \frac{x}{32}[/tex]
cross-multiply:
32(4) = 128
128 / 20 = 6.4
each side of the actual drawing is 6.4 mm.
6.4 * 6.4 = 40.96
40.96 mm
40.96 mm
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that the scaling of drawing is 4mm to 2cm of actual drawing and the scaled drawing side of square earring is 3.2cm.
Now, corelating the scale given which means for 1mm of actual side of earring the drawing scale is 0.5 cm or 5mm. Therefore, for having 3.2 cm of side of earring in drawing let [tex]x[/tex] be the actual side this is calculated below :
[tex]\begin{aligned}20 \text{mm}&\rightarrow 4\text{mm}\\32\text{mm}&\rightarrow x\text{\:mm}\\\frac{4}{20}&=\frac{x}{32}\\x&=6.4 \text{mm}\end{aligned}[/tex]
Now, the actual side of earring is 6.4 mm therefore, the area of the front of earring will be : 6.4 mm x 6.4 mm =40.96 mm
Read more about ratio at:
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1. SHOPPING Jenna bought 5 reams of paper at the store for a total of $21. The tax on her
purchase was $1.
Solve 5x + 1 = 21 to find the price for each ream of paper.
(5 Points)
20
20/5
8/2
Answer:
$4
Step-by-step explanation:
5x + 1 = 21
(-1) = 5x = 20
(÷5) = x = 4
Answer:
its 20
Step-by-step explanation:
5 times 4 lol ion really now
For employees at a large company, the mean number of overtime hours worked each week is 9.2 hours with a population standard deviation of 1.6 hours. A random sample of 49 employees was taken and the probability that the mean number of overtime hours will be at least 9.3 hours was determined. Was the probability a Left-tail, Right -tail or Interval Probability? Use a calculator to find the probability that the mean overtime hours for the sample will be at least 9.3 hours. Select the two correct answers that apply below.
Complete Question
Answer:
The probability is Right- tailed
The mean overtime hours for the sample will be at least 9.3 hours is
[tex]P(X \ge 9.3 ) = 0.3333[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 9.2 \ hours[/tex]
The standard deviation is [tex]\sigma = 1.6 \ hours[/tex]
The sample size is n = 49
The sample mean is [tex]\= x = 9.3[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{1.6 }{\sqrt{49} }[/tex]
=> [tex]\sigma_{\= x} = 0.22857[/tex]
This is a right -tailed probability because the sample mean is greater than the population mean
Generally the probability that the mean overtime hours for the sample will be at least 9.3 hours is mathematically represented as
[tex]P(X \ge 9.3 ) =1 - P(X < 9.3 )[/tex]
So
[tex]P(X < 9.3 ) = P( \frac{ X - \mu }{ \sigma_{\= x }} < \frac{ 9.3 - 9.2 }{ 0.22857} )[/tex]
Here [tex]\frac{X - \mu }{\sigma _{\= x}} = Z[/tex]
[tex]P(X < 9.3 ) = P( Z < 0.43750)[/tex]
From the z-table
[tex]P(X < 9.3 ) = P( Z < 0.43750) = 0.667[/tex]
So
[tex]P(X \ge 9.3 ) =1 - 0.667[/tex]
[tex]P(X \ge 9.3 ) = 0.3333[/tex]
At a certain location, the number of hours of sunlight is modeled by y = 6.4 cosine (StartFraction pi Over 26 EndFraction x) + 12 where x represents the number of weeks after the summer solstice.
Based on the model, what is the minimum number of hours of sunlight at this location?
3.2
5.6
6.4
13.0
Answer:
5.6
Step-by-step explanation:
Edge 2020
A correct option is an option (b)
Given,
The function is [tex]y=6.4 cos(\frac{\pi x}{26})+12[/tex]
For minimum hours of sunlight, [tex]cos(\frac{\pi x}{26})[/tex] should have the lowest value, that is -1 for [tex]x=26[/tex] {because [tex]cos (\pi )=-1[/tex] is the lowest value of cosine function}
Thus.
[tex]y_{minimum} = -6.4 + 12 \\y_{minimum}= 5.6[/tex]
So, the option is an option (b)
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Taliyah drives 120 miles in 3 hours. At the same rate, how far will she drive in 5 hours?
Answer:
200 Miles
Step-by-step explanation:
120 miles divided by 3 hours = 40 miles
40 miles x 5 hours = 200 miles
13
214
517
68
Which of the following angles are
congruent to 25? Select all that
apply.
А.
21
с
23
B
22
D 24
Answer:
D is answer
Step-by-step explanation:
please follow me
1/5 divided 3=1/15 because
HELP PLEASEE EASY QUESTION
Which statements are true about the polynomial function?
f(x)=x3−x2−4x+4
Select each correct answer.
f(x)=0 when x=−1 .
f(−1)=0
(x−1) is a factor of f(x) .
f(x) divided by (x−1) has a remainder of 0.
Answer:
D. f(x) divided by (x−1) has a remainder of 0.
C. (x−1) is a factor of f(x) .
Step-by-step explanation:
Just took a test with this question these are the answers!
The statements that are true about the polynomial function are;
(x−1) is a factor of f(x). f(x) divided by (x−1) has a remainder of 0.Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]
If x = -1, hence;
[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]
This shows that f(x) ≠ 0 when x = −1 .
To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:
[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]
This shows that (x−1) is a factor of f(x).This also shows that if f(x) divided by (x−1) has a remainder of 0.
Learn more here: https://brainly.com/question/18820029
Helppppppppppppppppppppppppp
Answer:
B
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"less than" means subtraction
"quotient" means division
"a number" = n
"and" means with (in this case)
"3" = 3"
"is" means equal
"-7" = -7
Step 2: Set up equation (combine)
n/3 - 5 = -7
please reply fast..............
PLEASE HURRY!!! WILL GIVR BRAINLIEST
Answer:
The answer is 39
Step-by-step explanation:
(WILL GIVE BRAINLIEST ASAP) A service that repairs televisions sells maintenance agreements for $10 a year. The average cost for repairing a
television is $34 and 5 in every 100 people who purchase maintenance agreements have televisions that require repair.
Find the service's expected profit per maintenance agreement.
$8.30
$8.64
$9.95
$9.66
how to solve
2(x+4)=2x+5
Step-by-step explanation:
2x+8=2x+5
2x-2x=15-8
0x=7
Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.
Answer:
The point-slope form is y - 1 = -2 (x-1)
Step-by-step explanation:
Let p: x = 4
Let q: y = -2
Which represents "If x = 4, then y=-2
7 Nevaeh shares 8 candy bars equally among
her 12 friends. Which expressions can be
used to determine the part of the candy bars
each friend receives?
Answer: 8 / 12 = x
Step-by-step explanation:
:D Hope its right
What is the justification for step 2 in the solution process?16-5x=1-4x; -5x=-4x-15; -x=-15
Answer:
Addition Property Of Equality
Step-by-step explanation:
The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.
Step 1: -5x = -4x -15
Step 2: -x = -15
Answer:
the addition property of equality
Step-by-step explanation:
The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.
URGENT
What is the equation of the line that passes through the point ( -2, 7) and has a slope of zero?
Answer:
y=7
Step-by-step explanation:
When ever the slope is 0, the line is completely flat. This means that the equation has the same y for every point.
The y on the point given is 7, therefore the answer is y=7.
What is the GCF of two prime numbers?
Group of answer choices
A. 1
B. The second number
C. The last number
D. 0
Answer:
A. 1
Step-by-step explanation:
prime numbers are not subject to any factors other then themselves and 1
The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments. How much is the amount of each payment.
Answer:
$25
Step-by-step explanation:
Answer:
You will be making 25$ payments each month
Step-by-step explanation:
600/24 = 25
If $a:b = 1:3$ and $b$ is a positive, one-digit integer, what is the greatest possible value of $a$?
=========================================
Work Shown:
a:b = 1:3
a/b = 1/3
a*3 = b*1 ... cross multiply
3a = b
b = 3a
Since b is a one digit number, this means that the largest it can get is 9
[tex]b \le 9\\\\3a \le 9\\\\a \le \frac{9}{3}\\\\a \le 3[/tex]
The largest possible value of 'a' is 3
I need help on this ASAP
Answer:
ITZ A
Step-by-step explanation:
What are two ways or more to calculate slope and what is the difference between them?
Answer:
one way.
k=y2-y1 / x2-x1
if DE=3x+7, EF=2x-3 and DF=7x-9, find DF
Answer:
So -63 isn't the right answer. It is either 6.5 or 13/2 based on how your teacher wants the answer.
Step-by-step explanation:
I did the work to show you how i got there. It is definitely not -63. I hope this helps!
Answer:
jygyygyutyu
Step-by-step explanation:
» A race car game takes 6 points from a player each
time the player hits a cone. What integer represents
the change in total points if the player hits 10 cones?
Answer:
-60
It is -60 because if it takes away 6 points for each cone you hit and you hit 10, then it would be -60 times 10, which equals -60.
what is midpoint if tu =4× and uv =X +9
Answer:
12Step-by-step explanation:
Given
TU = 4xUV = x + 9Finding the value of x
TU = UV4x = x+93x = 9x = 3Midpoint = 4x = 4*3 = 12
Devin has 39 toy blocks. What is the value of the digit 9 in the number
Answer:
The value of the digit 9 is in the ones place.
Step-by-step explanation:
1 Hundreds
1 Tens
1 Ones <----------------
. Decimal point
1 Tenths
1 Hundredths
1 Thousandths
Solve for h in the literal equationg g ( h +3/2)=7
Answer: 40/2=3
Step-by-step explanation:
dice is rolled 3000 times
how many times would you expect to roll a 5
Answer:
500 times
Step-by-step explanation:
3000/6
Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15
Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15
Answer:
4 - 7x = 15
Step-by-step explanation:
I think not sure