Answer:
[tex]a)6 = \frac{6}{1} = 6 \: \: \: b)15 - 3 = \frac{15}{3} = 5[/tex]
A student writes down four random numbers: -20, 55, 10, -15. A second students adds one number to the set, making the average 11. What number did the second student add to the set?
Answer:
-19
Step-by-step explanation:
-20 + 55 + 10 + -15 = 30
30 - 11 = 19
-19
a forrest covers an area of 2400 km^2. if each year the area decreases by 8.5%, what will the area be after 14 years? round answer to nearest square kilometer. (please explain how you get the answer so i can do future questions myself! thank you :) )
Answer:
1581.62810745 square km
Step-by-step explanation:
P = Initial Area = 2500 square km.
r = rate of decreasing = 8.75%
n = number of years = 5 years
A = 2500 ( 1 - 8.75/100)^5
A = 2500 {(100–8.75)/100}^5
A = 2500 (91.25/100)^5
A = 2500 (0.9125)^5
A = 2500 * 0.63265124298
A = 1581.62810745
At Charles Walters Middle School, 25% of the students live more than 8 miles from school, What fraction of the students live more than 8 miles from school? Write your answer as a fraction in simplest form. ?
Answer:
1/4
Step-by-step explanation:
0.25 = 1/4
Answer:
1/4
Step-by-step explanation:
25% is 25/100. 25/100 simplified is 1/4.
NEED HELP PLS
Use point-slope form to write the equation of a line that passes through the point (-14, -17) with slope 1.
Answer:
point-slope form: y-y1=m(x-x1) -> m=slope, (x1, y1) = coordinates of a point
point = (-14,-17) -> x1=-14, y1=-17
slope = 1 -> m=1
y-(-17)=1*(x-(-14)
y+17=1(x+14)
you don't need the *1 but some teachers are picky about that
Answer:
y + 17 = 1 ⋅ ( x + 14 )
Step-by-step explanation:
i think... trust someone else because i'm not 100% sure..
Which expression is equivalent to w • 35?
Answer:W= B-3 or 3=B-W
Step-by-step explanation:
ANSWER FOR BRAINIEST!!!
How do you answer this and what did I do incorrectly?
Answer:
x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])
Step-by-step explanation:
Hi, these are not my strong point, Sorry if its incorrect.
6-[tex]\frac{2}{3}[/tex](x+5)=4x
I first did 6-[tex]\frac{2}{3}[/tex]
6/1 -2/3, 18/3-2/3 =16/3
[tex]\frac{16}{3}[/tex](x+5)=4x
I then expanded the bracket to get [tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]
[tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]=4x
Then I took away [tex]\frac{16}{3}[/tex]x from both sides to get.
5[tex]\frac{16}{3}[/tex]=4x-[tex]\frac{16}{3}[/tex]x
I then factorised x out
5[tex]\frac{16}{3}[/tex]=x(4-[tex]\frac{16}{3}[/tex])
I then divided by the bracket to get:
x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])
Answer:
4/7
Step-by-step explanation:
[tex]6 - \frac{2}{3} (x + 5) = 4x[/tex]
U take -2/3 into the brackets
[tex]6 - \frac{2}{3} x - \frac{10}{3} = 4x[/tex]
Put all values with x on one side
[tex]6 - \frac{10}{3} = 4x + \frac{2}{3} x[/tex]
Ensure that they all have the same denominator so that u can add and subtract
[tex] \frac{18}{3} - \frac{10}{3} = \frac{12}{3} x + \frac{2}{3} x[/tex]
[tex] \frac{8}{3} = \frac{14}{3} x[/tex]
Drop the denominator since they both have the same denominator
[tex]8 = 14x[/tex]
divide both sides by 14
[tex] \frac{8}{14} = \frac{14}{14} x[/tex]
[tex]x = \frac{4}{7} [/tex]
Which expression has a value of −8?
Answer:
-4+-3+2-3
Step-by-step explanation:
ANSWER FAST!!
Write the equation of a line that has a slope of -2/7 and passes through the point (5,-6)
Answer:
y = -2/7x - 32/7
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
The slope is -2/7
y = -2/7 x+b
We know a point on the line is (5,-6)
Substitute this into the equation
-6 = -2/7(5) +b
-6 = -10/7+b
Add 10/7 to each side
-6 +10/7 = b
-42/7 + 10/7 = b
-32/7 = b
y = -2/7x -32/7
Yi = 4.0 + 1.5Xi
a. Interpret the Y intercept, b0.
Answer:
Divide each term in Y i = 4 + 1.5 X i by i and simplify.
Y = − 4 i + 1.5 X
Step-by-step explanation:
graph { (2/3) (2,4) (-3/4)}
Answer 56
Step-by-step explanation:
Please help me :) 25 points
Answer:
D (bottom right)
Step-by-step explanation:
Using the vertical line test, only D passes.
Hope that helps
2. Harry puts $5 in his piggy bank every
week. What type of slope does this
scenario describe? Explain.
Answer:
linear
Step-by-step explanation:
Answer:
Linear slope of 5/1
Step-by-step explanation:
The rate is constant.
Hope that helps
: West Gorham High School is to be located at the population center of gravity of three communities: Westbrook, population 16,000; Scarborough, population 22,000; and Gorham, population 36,500. Westbrook is located at 43.6769˚N, 70.3717˚W; Scarborough is located at 43.5781˚N, 70.3222˚W; and Gorham is located at 43.6795˚N, 70.4447˚W.
a. Where should West Gorham High School be located?
b. If only two pieces of adequate land are available for sale: Baker’s Field at 43.6784˚N, 70.3827˚W; or L onesome Acres at 43.5119˚N, 70.3856˚W, using rectilinear distances, which is closer to the site located in part (a)?
Answer:
(a) 43.6490°N, 70.3928°W
(b) Baker's Field
Step-by-step explanation:
The locations are all within a 7-mile square, so we will make the assumption of a flat Earth with parallel longitude lines. Then the "central" location will be the weighted average of the latitude and longitude coordinates.
(a)Total population is 16000 +22000 +36500 = 74,500. For purposes of the arithmetic, we will subtract 43 from latitude and 70 from longitude, then multiply each fraction by 10. Similarly, we will divide each population by 1000.
The weighted average location is found from ...
(16/74.5)(6.769, 3.717) +(22/74.5)(5.781, 3.222) +(36.5/74.5)(6.795, 4.447)
= (1.4537, 0.7983) +(1.7071, 0.9515) +(3.3291, 2.1787) = (6.490, 3.928)
The center of gravity is about 43.6490°N, 70.3928°W.
__
(b)The coordinate differences from the center of gravity are (in (°lat, °long)) ...
Baker's Field: (0.0294, -0.0101)
Lonesome Acres: (-0.1371, -.0072)
Clearly, Baker's field is closer to the site of part (a).
_____
Additional comment
Distance calculations could be refined further by considering that a degree of longitude at this latitude represents about 0.72 times the distance of a degree of latitude. In this problem, the location of Lonesome Acres has a latitude difference that is several times any of the other coordinate differences, so it is clearly much farther away from the desired location.
The calculations done here are a sort of first-level approximation. The least-significant digits in the coordinates represent a distance of less than 50 feet. If you really want accuracy to that level, then the (approximately) spherical shape of the Earth needs to be accounted for. As a second-level approximation, some reference point needs to be identified, and coordinates in miles (or feet) need to be expressed in relation to that reference. The best accuracy would be obtained using spherical trigonometry to identify the distances.
We expect any school that is constructed to be somewhat larger than 50 feet in any direction, so accuracy to the 4th decimal place in these locations is probably not required--except to satisfy some answer-checker.
5) Solve 5 - 2x < 7.
A) x < -1
B) x>-1
0x<-12
D) X > -12
Answer:
i think B. x>-1 is answer
Step-by-step explanation:
good luck
Please help me simplify this answer.
Answer:
D
Step-by-step explanation:
if x =4 and y =5
the expression = 818.3396
and D the only expression done the same result
If the measure of angle 1 is 45°, what is the measure of angle 11 in degrees.
Subtract 38¢ from $5.60. Include the dollar sign and no spaces in your answer.
Answer:
5.22
Step-by-step explanation:
Answer:
its easy, just subtract 50 - 38 = 22 so its $5.60
(your welcome and math makes me notalisgica :) )
Step-by-step explanation:
A number increased from 3,631 to 8,140. Find the amount of increase.
Answer: 4509
8,140-3,631
= 4509
HELP MEEEEEEEEEEEEEEEEE!
X +(X+1)+...+2020+2021=2021
If x is an integer, and
x + (x + 1) + … + 2020 + 2021 = 2021
then of course
x + (x + 1) + … + 2020 = 0
and we can write the left side as a sum,
[tex]\displaystyle \sum_{k=0}^n (x+k) = 0[/tex]
with n such that x + n = 2020. (Notice that there are n + 1 terms in the sum.) Then x = 2020 - n, so that
[tex]\displaystyle \sum_{k=0}^n (2020 - n + k) = (2020 - n) \sum_{k=0}^n 1 + \sum_{k=0}^n k= 0[/tex]
Recall that
[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 1 + 1 + \cdots + 1 = n[/tex]
[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle (2020 - n) (n + 1) + \frac{n(n+1)}2= 0[/tex]
Solve for n :
(2020 - n) (n + 1) + n (n + 1) / 2 = 0
4040 + 4039 n - n² = 0
(n - 4040) (n + 1) = 0
⇒ n = 4040 or n = -1
But we are taking the sum of a positive number of terms, so n = 4040.
Then since x + n = 2020, it follows that x = 2020 - 4040 = -2020.
3a+5=20 steps on paper
Answer:
5
Step-by-step explanation:
3a+5=20 -5
3a=15 /3
a=5
How do you divide 35 and 97.3
Answer:
To divide a decimal number by a decimal number, multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens. For example, 13.8 ÷ 0.6 becomes 138 ÷ 6 = 23.
In the figure below, AABC is similar to A EFG. What is the length of EG? Enter only the number.
A
5
N
3
12
16
F
G
B
The solution is
Answer:
EG = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{EG}{AC}[/tex] = [tex]\frac{EF}{AB}[/tex] , substitute values
[tex]\frac{EG}{5}[/tex] = [tex]\frac{12}{3}[/tex] = 4 ( multiply both sides by 5 )
EG = 5 × 4 = 20
what is 2/5=_=_ what is the 2 equivalent fractions
Answer:
4/10 and 16/40
Step-by-step explanation:
2/5 = 0.4(ZERO POINT FOUR NOT 0.04 ZERO POINT ZERO FOUR)
(numerator =2 x 2=4 ,denominator= 5 x 2= 10) this is how i got 4/10 (choose any number between 10 and 2 and multiply it by the denominator and numerator)
As well as 4/10 = 0.4
Also 16/40= 0.4
(Using our original fraction 2/5 we can multiply both the numerator and denominator by 8; numerator= 2 x 8 = 16 and denominator= 5 x 8 = 40
Since 4/10 and 16/40 are both equivalent to 0.4, they are equivalent fractions
(TO FIND THE DECIMAL OF THAT FRACTION DIVIDE THE NUMERATOR BY DENOMINATOR)
hope this helps, ;]
Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...
Mary had 60$ and spent 3/4 on a coat. plus she brought a skirt with 1/2 she had left . how much do she have left?
I’m failing pls help I’ll brainlest ASAP
is 8.5 greater than 0.85?
Answer:
Yes, 8.5 is greater than 0.85
Step-by-step explanation:
In counting from 0 to the highest possible positive number in steps of 0.01, we come across 0.85 before 8.5. This means that 8.5 is greater than 0.85
PLEASE HELP URGENT ASAP DUE TOMORROW PLSSSSS
∫x²cos(2x³)dx
Answer:
-222
Step-by-step explanation:
There are 40 students in your class of which 23 are boys. What fraction of the students are girls?
Answer:17/23
Step-by-step explanation:
Answer: 17/40 of the students are girls.
Step-by-step explanation:
First, to find the number of girls in the class, we can subtract the number of boys (23) from the total number of students (40) to get:
40 - 23 = 17
There are 17 girls in the class.
Finally, to get the fraction of the girl students of the class, we can divide the number of girls (17) by the total number of students (40) to get:
17 ÷ 40 = [tex]\frac{17}{40}[/tex]
Since the fraction [tex]\frac{17}{40}[/tex] is already simplified, the final answer comes out to be [tex]\frac{17}{40}[/tex].
Judith bought a rowboat priced at 671.65.shipping anf handling cost and additional 20% of the prices What was the total cost of the rowboat,including shipping and handilng?
Answer:
805.98
Step-by-step explanation:
671.65x.20=134.33
134.33+671.65=805.98