Answer:
Step-by-step explanation:
3y + 50 = 200 2(m-15) = 55 q + 5 = 80The fifth term of the number parttern 15,10,5,0
Answer:
Step-by-step explanation: -5
Answer:
-5
Step-by-step explanation:
The pattern is decreasing by 5, so 0-5= -5
Hope this helps :D
Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Perimeter = 16.4 units
Using the heron's formula, Area ≈ 10.4 units².
What is the Heron's Formula?The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle
s = (a + b + c)/2.
Given the following:
K (-4,-1) ,
L(-2, 2),
M (3,-1)
Use the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find KL, LM, and KM.
KL = √[(−2−(−4))² + (2−(−1))²]
KL = √13 ≈ 3.6 units
LM = √[(−2−3)² + (2−(−1))²]
LM = √34 = 5.8 units
KM = √[(−4−3)² + (−1−(−1))²]
KM = √49 = 7 units
Perimeter = 3.6 + 5.8 + 7 = 16.4 units
Semi-perimeter (s) = 1/2(16.4) = 8.2 units
KL = a ≈ 3.6 units
LM = b = 5.8 units
KM = c = 7 units
s = 8.2
Plug in the values into √[s(s - a)(s - b)(s - c)]
Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]
Area = √[8.2(4.6)(2.4)(1.2)]
Area = √108.6336
Area ≈ 10.4 units²
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patrcick left a $8 tip on a $50 bill. what percent tip is that
Answer:
16%
Step-by-step explanation:
Just divide 8 by 50
8 ÷ 50 = 0.16
Then move the decimal two places to the right
Answer: 16% tip
Step-by-step explanation:
50 x .16 = 8
A hose is used to fill an empty wading pool. The graph shows volume (in gallons) in the pool as a function of time (in
minutes). Which of the following defines a formula for computing the time, t, as a function of the volume, u?
Answer:
none of above or number 1 or "2 or " 3
Find three consecutive odd integers such that the sum of the first and third equals to the sum of the second and 43.
Be sure to show your work and list the integers in this format: (1, 2, 3)
Answer:
(41, 43, 45)
Step-by-step explanation:
You want three consecutive odd integers such that the sum of the first and third is 43 more than the second.
SetupLet n represent the middle (second) of the integers. Then the first is (n-2) and the third is (n+2). The given relation can be written as the equation ...
(n -2) +(n +2) = n +43
SolutionSimplifying gives ...
2n = n +43
n = 43
n-2 = 41
n+2 = 45
The three integers are (41, 43, 45).
__
Additional comment
When working consecutive integer problems, it often works well to let a variable represent the middle one, or their average value.
Find the equation of line that passes through the points (-2,2) and (10,4)
Answer:
y=1/6x-3-2
Step-by-step explanation:
rises 2 runs 12
equals rise 1 run 6
1/6x
10, 6 -2 from x =10, 4
6 + -6x
Can someone solve this please
In a complete sentence, explain the difference between the two decimal forms of rational numbers. Provide an example of each as a fraction. Convert each fraction to its decimal equivalent. Then, classify the decimal as terminating or repeating.
Answer:
유리수는 정수이며 x/y 형식으로 표현될 수 있는 숫자입니다. 여기서 분자와 분모는 모두 정수입니다. 무리수는 분수로 나타낼 수 없는 수입니다. 17은 정수이고 48은 소수 부분인 십진수 17.48의 예입니다.7/10000은 0.0007과 같은 소수 형식으로 작성된 소수 분수입니다. 19/10은 1.9와 같은 소수 형식으로 작성된 소수입니다. 39/1000은 0.039로 표기된 소수입니다. 모든 정수는 분수로 깔끔하게 변환될 수 있으며 유리수입니다. 예를 들어 3은 3/1로 표현할 수 있습니다. 그리고 분자(3)와 분모(1)가 모두 정수이고 분모가 0이 아니므로 3은 유리수입니다.종료 소수점 또는 반복 소수점으로 쓸 수 있습니다.
Step-by-step explanation:
이것이 당신을 돕기를 바랍니다.
The marching band needs to create rows for its performance. There are 48 instruments and 32 flag bearers. Only one type of performer can be in each row. What is the maximum number of performers in each row so that all the rows are equal in length?
48
32
16
2
The maximum number of performers in each row so that all the rows are equal in length is C. 16.
How to calculate the valueIt should be noted that there are 48 instruments and 32 flag bearers and only one type of performer can be in each row.
The maximum number of performers in each row so that all the rows are equal in length will be the highest common factor between both numbers.
It should be noted that the highest common factor between 32 and 48 is 16
Therefore the correct option is C.
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A town has a population of 109,500 and grows at a rate of 7.4% every year. Which
equation represents the town's population after 2 years?
126305.622 is the town's population after 2 years on percentage 7.4.
What percentage means?
percentage , which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
P= 109,500
r = rate =7.4/100
t = time = 2 years
Based on the given conditions, formulate [tex]109,500 . ( 7.4 /100 + 1 )^{2}[/tex]
= 109500 ( 107.4)²
= 109500 × 107.4 × 107.4
Evaluate the equation/expression = 126305.622
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A car dealer will sell you the $16,850 car of your dreams for $3,290 down and payments of $333.97 per month for 48 months. What is the APR? (Round your answer to the nearest tenth of a percent.)
The APR of the given transaction to the nearest tent of a percent is; 4.8%
What is the APR?
We find how much you will pay for the car using the down and monthly payments:
3290 + 333.97(48) = $19608.56
Thus, the interest is:
I = (19608.56 - 16450) = $3158.56
Use the simple interest formula:
I = Prt
where;
I is the interest.
P is the principal.
r is the interest rate is the time in years.
Substitute I = $3158.56, P = $16450, and t = 4 years (48 months):
Thus;
3158.56 = (16450)r(4)
Expanding gives;
3158.56 = 65800r
r = 3158.56/65800
r ≈ 0.048 = 4.8%
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5. Identify the properties used to solve the inequality.
5x+7 < -3 __________________
5x < −10 __________________
x<-2
Answer:
I LOVE SWEETN TO GIRLY POP
Step-by-step explanation:
5.666666666 to one decimal place
Answer:
5.7
Step-by-step explanation:
5.666666666 can be rounded to 5.7 because the first decimal place occurs immediately after the decimal point.
I.e. in the number 1.23456, the first decimal place value is 2.
Meaning when we round, we look at the second decimal place. Given that 5.666666666 has a second decimal place greater that 5, we can round to 5.7
Leo sells homes and makes 3% commissions on every house he sells. how much does he makes if he sells a house for $649,000
Determine the whole number of standard deviations from the mean that include all
data values.
The mean price of the nonfiction books on a best-sellers list is $25.07; the standard
deviation is $2.62.
$26.95, $22.95, $24.00, $24.95, $29.95, $19.95, $24.95, $24.00, $27.95, $25.00
The number of standard deviations from the mean that include all
data values is two.
Standard Deviation could be a live that shows what proportion variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean.it's a well-liked live of variability as a result of it returns to the initial units of live of the information setFrom the gathering of information, we will see that the minimum worth is $19.95 and also the most worth is $29.95. So , we would like to seek out the amount of normal deviations, let's decision it "a" , such that[tex]\overline x $\color \ - a\cdot\sigma \le 19.95}[/tex] and [tex]\overline x $\color \ +a\cdot\sigma \geq 29.95}[/tex]
Use the given values of mean [tex]\overline x[/tex] and normal deviation (σ) to notice the worth of "a".
[tex]\overline x $\color \ - a\cdot\sigma \le 19.95}\\25.07\ - 2.62a \leq 19.95\\5.12\leq 2.62a\\1.9541\leq a[/tex]
On rounding off we get a = 2
Checking another inequality
[tex]\overline x $\color \ + a\cdot\sigma \geq 29.95}\\25.07 \ + 2(2.62) \geq 29.95\\25.07 + 5.24 \geq 29.95\\30.31\geq 29.95[/tex]
Thus , 2 standard deviation include the all values from the given set of data .
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What’s the answer
19v-3|=-4
Answer:
-1/19
Step-by-step explanation:
|19-3| =-4
( |___| ) it means the determination of us;
19v-3=-4
19v=-4+3
19v=-1
v=-1/19
Find Pif P = −0.1x² +34x + 2800 and
a. x = 140, P =
b. x = 200, P =
Answer:
a) 5600
b) 5600
Step-by-step explanation:
[tex]a) \: ( - 0.1 \times {140}^{2} ) + (34 \times 140) + 2800 \\ ( - 0.1 \times 19600) \: + 4760 + 2800 \\ - 1960 + 4760 + 2800 = 5600 \\ \\ b) \: ( - 0.1 \times {200}^{2} ) + (34 \times 200) + 2800 \\ ( - 0.1 \times 40000) + 6800 + 2800 \\ - 4000 + 6800 + 2800 = 5600[/tex]
( -5+1 ) + ( 6-11 ) + ( -3 - 17 )
Which of the relations shown does NOT represent y as a function of x?
In mathematics, a function is what identifies dependency; nevertheless, in choice D, the connection between y and x was not one of reliance since x stayed constant while y changed.
The D Option
What is a function?Generally, In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.
In conclusion, In math, function identifies dependence and in option D, that was not the relationship b/e y and x, as x remained constant as y varied.
Option D
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En Vogue Menswear ordered short-sleeve shirts for $23.00 each and long-sleeve shirts for $28.50 each from Hugo Boss. If the total order amounted to $9,862.50 for 375 shirts, how many of each shirt was ordered?
The number of short-sleeve shirts ordered is 150.
The number of long-sleeve shirts ordered is 225.
What are the simultaneous equations that represent the question?23s + 28.50l = $9,862.50 equation 1
s + l = 375 equation 2
Where:
s = number of short-sleeve shirts ordered
l = number of long-sleeve shirts ordered
How many of each shirts were ordered?The first step is to multiply equation 2 by 23
23s + 23l = 8,625 equation 3
Subtract equation 3 from equation 2
1237.50 = 5.5l
Divide both sides by 5.5
l = 225
s = 375 - 225 = 150
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A prism with a square base has a height of centimeters and it’s volume is 7,200,000cm to the 3rd power. Find the area of the base
The area of the base of a prism with a square base is 7,200,000/h cm to the 2nd power.
What is formula for volume of square prism?The formula for volume of square prism is given as,
Volume of a square prism = (Base Area) × Height.
Now it is given that,
Volume of prism = 7,200,000 cm to the 3rd power
Height of prism = h cm
Since, Volume of a square prism = (Base Area) × Height
Putting the values we get,
7,200,000 = (Base Area) × h
Rearranging we get,
Base Area = 7,200,000 / h cm to the 2nd power
Thus, the area of the base of a prism with a square base is 7,200,000/h cm to the 2nd power.
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Which of the following describes a correct process for solving the equation 3(x + 6) = 21 and arrives at the correct solution? (1 point)
Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.
Subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 5.
Distribute the 3, subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 5.
Add 6 to both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 9.
Answer:
1st answer indeed
Step-by-step explanation:
ok so the steps are included in the given answer. hope you can figure it out. if not let me know. (:
The ages of residents of a small town are given in the following frequency distribution, approximate the
mean age
The mean age of the residents of a small town will be 27.74.
How to calculate the mean?Midpoints of classes are:
4.5, 14.5, 24.5, 34.5, 44.5, 54.5, 64.5, 74.5, 84.5, 94.5
Hence,
Mean = (4.5*283 + 14.5*202 + 24.5*215 + 34.5*256 + 44.5*175 + 54.5*90 + 64.5*23 + 74.5*21 + 84.5*15 + 94.5*3)/(283 + 202 + 215 + 256 + 175 + 90 + 23 + 21 + 15 + 3)
Mean = (1273.5 + 2929 + 5267.5 + 8832 + 7787.5 + 4905 + 1483.5 + 1564.5 + 1267.5 + 283.5) / 1283
= 35593.5/1283
= 27.74
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Four friends volunteered to help Mr. Kirby build a new fence around
his property. If the property had a perimeter of 880 ft., how many feet
of fence would each man, including Mr. Kirby, have to build?
Find the value of x the diagram is not a scale
○ 85
○ 95
○ 127
○ 42
Answer:
85°
Step-by-step explanation:
→ Find the sum of the angles in the triangle
53 + 42 = 95
→ Find what the sum of angles in a triangle should be
180
→ Subtract 95 from it
180 - 95 = 85°
Solve r = p/2 (b +k) solve for k
Help pls
Answer: k=(2r-bp)/p
Step-by-step explanation:
r = p/2 (b+k)
r = p/2 * (b+k)
r*2=2*p/2 * (b+k)
2r=p * (b+k)
2r/p=p(b+k)/p
b+k=2r/p
b-b+k=2r/p - b
k=2r/p - bp/p
k=(2r-bp)/p
I need help solving this problem
The algebraic expression is (3 - 2 - 13) and simplification of the expression is -12
For simplification we have to first write the expression as given in word form and then simplify according to the algebraic rule
Given expression is 3 more than sum of -2 and -13
we will write the given expression in algebraic form as follows:
i.e. 3 + (-2) +( -13)
i.e. 3 - 2 - 13
i.e. 3 - 15
i.e. -12
Final answer: the simplification of the given expression is -12 and algebraic expression is (3-2-13)
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(1/6x - 10) + (2/3x -10) =
After solvong the expression (1/6x - 10) + (2/3x -10) the value is 60x² + 1 = 62x.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, there are six types of fractions: proper/improper fractions, mixed fractions, equivalent fractions, and like/, unlike fractions. A fraction has two parts: the numerator and the denominator.So, (1/6x - 10) + (2/3x -10):
(1/6x - 10) + (2/3x -10)[1 - 6x(10)/6x] + [2 - 3x(10)/3x]1 - 60x/6x + 2 - 30x/3x[1 - 60x + 2x(2 - 30x)]/6x1 - 60x + 4x - 60x²/6x- 60x² - 60x + 4x + 1/6x- 60x² - 56x + 1/6xNow,
- 60x² - 56x + 1/6x 60x² - 56x + 1 = 6x 60x² + 1 = 6x + 56x 60x² + 1 = 62xTherefore, after solvong the expression the value is 60x² + 1 = 62x.
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MN has a slope of 4/5 and PQ has a slope of -4/5.Are the lines parallel, perpendicular, or neither?
Answer:
neither
Step-by-step explanation:
Two pieces of equipment were purchased for a total of $2000. If one piece cost $810 more than the other, find the price of the less expensive piece of equipment.
Answer:
595.
Step-by-step explanation:
Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.
1st Piece of Equipment = $595
2nd Piece of Equipment = $1,405
2nd Piece is $810 more expensive and the two pieces combined is $2,000.
