Answer:
The approximate value of the scale is 1:67
or the actual value without approximation is 1: 66 2/3 ( 66 while number , two over three)
Step-by-step explanation:
Here, we want to figure out the scale in inches of the drawing to the actual object.
The actual object is 500 ft by 700 ft
while the drawing is 90 inches by 126 inches
Mathematically, we know that 12 inches = 1 foot
So the actual object will be;
500(12) by 700(12)
= 6000 inches by 8400 inches
Now let’s make a division to get the scale;
6000/90 by 8400/126
we get 66.67 as answers on both ends
This is approximately equal to 67
So the scale we have here is 1:67
Find the sum of −2 5/10 and −5 4/15. Then, in two or more complete sentences, explain the steps you used to add the mixed numbers.
Answer:
Exact Form: -5/2, -79/15 Decimal form: -2.5, -5.26 mixed number form: -2 1/2, -5 4/15
Answer:
-7 9/10
Step-by-step explanation:
First, I converted the mixed numbers into improper fractions, which left me with 25/10 plus 79/15. I had to find common denominators for the both of them, and I ended up with 30. 10 goes into 30 3 times, and 3 times 25 is 75. 15 goes into 30 two times, and 2 times 79 is 158. That left me with 75/30 plus 158/30 and my first answer was 237/30. I then had to convert that improper fraction into a mixed number. 237 divided by 30 is 7 with a remainder of 27. My next answer to this problem was
7 9/10. A negative plus a negative equals a negative number, so the final answer is -7 9/10.
pls find the answer for question 2
Answer:
c
Step-by-step explanation:
x³ - y³ ← is a difference of cubes and factors as
x³ - y³ = (x - y)(x² + xy + y²)
Given
[tex]\frac{x}{y}[/tex] + [tex]\frac{y}{x}[/tex] = - 1
Multiply through by xy to clear the fractions
x² + y² = - xy ← substitute into second factor of expansion
x³ - y³ = (x - y)(- xy + xy) = (x - y) × 0 = 0 → c
Answer:
The answer is C. 0
Step-by-step explanation:
since
[tex] \frac{x}{y} + \frac{y}{x } = - 1[/tex]
we multiply both sides by xy to cancel their denominators and multiply -1 by xy
so we have
[tex]xy( \frac{x}{y}) + xy( \frac{x}{y} ) = xy \times - 1[/tex]
we get our answer as
[tex] {x}^{2} + {y}^{2} = - xy[/tex]
we were given the difference of cubes that is
[tex] {x}^{3} - {y}^{3} [/tex]
which is =
[tex](x - y)( {x}^{2} + xy + {y}^{2} )[/tex]
so since,
[tex] {x}^{2} + {y}^{2} = - xy[/tex]
we substitute,
[tex](x - y)( - xy + xy) = (x - y)(0) = 0[/tex]
Intersecting chords form a pair of supplementary, vertical angles. True or false.
Answer:
its false
Step-by-step explanation:
Answer:
The answer is false
Step-by-step explanation:
Roselyn is driving to visit her family, which lives 150150150 kilometers away. Her average speed is 606060 kilometers per hour. The car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter.
Answer:
see explanation (please confirm if I read you problem correctly)
Step-by-step explanation:
150 kilometers
60 kph
tank is 20 liters
6 km/l
150/6 = 25 liters needed
$60/l
you will need to get 5 more liters of fuel
total cost 25 x .60 = $15
Answer:
AHHHHH I think its two hours
Step-by-step explanation:
she...? can drive 120 Kilometers before she runs out of fuel since the car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. and that means she can drive 2 hours
What is the degree of the monomial 5x^4? A. Degree 20 B. Degree 5 C. Degree 9 D. Degree 4
Answer:
Solution : Degree 4
Step-by-step explanation:
We only have one variable in this case, x. Therefore we can take the degree of this variable to be our solution, 4. As you can see x^4 will have a degree of 4, as that is the exponent present.
WILL GIVE BRAINLIEST
intercept is the length from origin to intersection point of respective axis,
it intersects x axis at -7.5 and y is 0 so x intercept is (-7.5,0)
and similarly, y intercept is (0,5.5)
Answer:
(- 7.5, 0 ) and (0, 5.5 )
Step-by-step explanation:
The x- intercept is the value of x on the x- axis where the line crosses.
Here the line crosses the x- axis at - 7.5 , thus the coordinates of x- intercept
(- 7.5, 0 )
The y- intercept is the value of y on the y- axis where the line crosses.
Here the line crosses the y- axis at 5.5 thus the coordinates of the y- intercept
(0, 5.5 )
Enter the values needed to find the length CB
Answer:
[tex]6b[/tex]
Step-by-step explanation:
We know that the distance formula is [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]. We already have the x values, which are [tex]5a[/tex] and [tex]-a[/tex], subtracting [tex]-a[/tex] from 5a gets us [tex]6a[/tex].
Same concept for the y values, let's subtract the first y value from the second.
The second y value is [tex]b[/tex], while the first is [tex]-5b[/tex]
[tex]b - (-5b) = b + 5b = 6b[/tex]
Hope this helped!
Answer:
6b is your answer!
Step-by-step explanation:
I wish ALL ACELLUS USERS LUCK
Tony knew there was a solution to his math problem in one of four textbooks. He got some information from his classmates about it: Andy: "The solution is in either book 1 or 2"; Billy: "The solution is in either book 3 or 4"; Charlie: "The solution is in book 4"; Danny: "There is no solution in book 3". Emily helped Tony by saying that only one of his classmates was right, and the other three were mistaken. Which book has the solution in it?
Answer:
Charlie is the right person.
Step-by-step explanation:
The right person is Charlie because he was sure of what he was saying. Others were not sure making them mention two textbooks while Danny didn't answer the question Tony asked because he was talking about the one that doesn't have the solution.
PLEASE HELP WITH ALL PLEASE WILL MAKR BRAINLIEST, THANK YOU AND THESE POINTS
Answer/Step-by-step Explanation:
12. A. (1,299 + 3,563) ÷ 22 = 221
4,862 ÷ 22 = 221
221 = 221 (TRUE)
B. 16*(132 + 34)*12 = 32,872
16*166*12 = 32,872
31,872 = 32,872 (NOT TRUE)
C. (65 + 78)*(45 - 29) = 2,188
143*16 = 2,188
2,288 = 2,188 (NOT TRUE)
D. (1,444 - 349) ÷ (457 - 238) = 6
1,095 ÷ 219 = 6
5 = 6 (NOT TRUE)
The answer is A.
13. Let the missing number = X
Thus,
i. 25*(157 + x) = 8,850
[tex] 157 + x = \frac{8850}{25} [/tex]
[tex] 157 + x = 354 [/tex]
[tex] x = 354 - 157 [/tex]
[tex] x = 197 [/tex]
ii. x ÷ (453 - 425) = 135
x ÷ (28) = 135
x = 135*28
x = 3,780
14. (56 + 69) * (268 - 137)
125*131 = 256
15. 9,144 ÷ (2,784 - 2,784)
9,144 ÷ 0 = cannot divide
16. (72 + 126) ÷ (687 - 654)
198 ÷ 33 = 6
17. 22*(562 + 733)
22*1,295 = 28,490
18. Let the missing number be x
48*(x - 239) = 4,272
[tex] x - 239 = \frac{4,272}{48} [/tex]
[tex] x - 239 = 89 [/tex]
[tex] x = 89 + 239 [/tex]
[tex] x = 328 [/tex]
The missing number is 328.
19. (794 + 718) ÷ (68 - 41)
1,512 ÷ 27 = 56
20. (58*89) + (192 ÷ 16)
5,162 + 12 = 5,174
At 11,560 feet above sea level, Climax, Colorado, is the highest town in the united States. The lowest town in Calipatria, California, at 185 feet below sea level. Express both of these distance as integers and tell which is closer to sea level. How much closer to sea level is the town that is closer?
Answer:
Climax: 11,560. Calipatria: 185 Calipatra is closer by 11,375ft
Step-by-step explanation:
Climax is 11,560ft above sea level, which means it is 11,560ft away from sea level. Calipatria 185ft away from sea level by the same logic. The one whih is closer to sea level would be the smaller number, which would be 185, and how much closer would be 11,560-185= 11,560.
If you're wondering why the 185 isn't negative, it's because the question is asking how far away from zero the numbers are, so you would take the absolute value of -185 which would be 185.
need help with this one
Answer:
At x intercept, x = 0
2.8(0)+5.7y+5.8=0
y=-5.8/5.7
=-1.02
At y intercept, y=0
2.8x+5.7(0)+5.8=0
x=-5.8/2.8
=-2.07
Answer:
X ans y intercepts are
xintercept (s) : (-2.0,0) you can roud if necessary
y intercept(s) : (0,-1.01754385) you can round if nessecary
Step-by-step explanation:
to find the [tex]x[/tex] and [tex]y[/tex] intercepts simply plug in [tex]o[/tex] to replace [tex]x[/tex] then when you solve for [tex]x[/tex] plug in [tex]x[/tex]to solve for [tex]y[/tex]
I need help pls and I will give a 5 star rating and a big thank you comrades.
Answer:
Option (C) : y = 6 / 11
Step-by-step explanation:
To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.
Since, the degrees of the numerator and denominator are the same,
Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator
Therefore,
Horizontal Asymptote = 6 / 11
The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
181.8yd
Step-by-step explanation:
What is the value of 12^0?
Answer:
1
Step-by-step explanation:
Anything real number (except 0) to the zeroth power would be 1.
Therefore, 12 to the zeroth power would also be 1.
[tex]12^0=1[/tex]
Answer:
As you know everynumber raised to 0 is always 1 even if its x or infinity so the answer will be 12^0 will be 1
Step-by-step explanation:
any and every number raised to 0 is 1
the work in an office takes 180 hours to complete every work
each person in the office works for 35 hours a week
what is the smallest number of people needed to complete the work?
Answer:
Minimum People required = 5
Step-by-step explanation:
Total hours required to complete the work every week = 150 hrs.
Number of hours worked per week by one person = 32 hr
∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person
∴ Number of people = 150 ÷ 32
∴ Number of people = 4.6875
This is the minimum number of people. But no of people cannot be a fraction.
Thus, rounding the number to next integer.
∴ Smallest number of people needed to complete the work = 5
A, B, C, D, E, F, ... 2, 3, 5, 7, 11, 13, ... what number is the letter Z replaced with?
Answer:
Z=101
Step-by-step explanation:
A=2
B=3
C=5
D=7
E=11
F=13
From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.
Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.
Therefore,
G=17
H=19
I=23
J=29
K=31
L=37
M=41
N=43
O=47
P=53
Q=59
R=61
S=67
T=71
U=73
V=79
W=83
X=89
Y=97
Z=101
(6e−3f−4)⋅2= what is the answer for this?
Answer:
12e-6f-8 is the answer
Step-by-step explanation:
did work on peice of paper
Answer:
12e - 6f - 8
Step-by-step explanation:
By using the distributive property,, the answer is
(6e x 2) - (3f x 2) - (4 x 2)
12e - 6f - 8
what is the answer to (3^2-8) +4=
Answer:
5
Step-by-step explanation:
Answer:
5 is the answer to the question.
Step-by-step explanation:
(3² - 8) + 4
= (3×3×3 - 8) + 4
= (9 - 8) + 4
= 1 - 4
= 5
i give you 5 stars please help
Answer:
C....................
Answer:
(C) [tex]x=4[/tex]
Step-by-step explanation:
A line will be parallel to the y-axis if It’s x never changes.
In A, x is always being -y, so that’s going to change all the time.
In B, x is always becoming y, so that is changing too.
In C, x is always being 4, so this never changes.
In D, x is always 4 times y, so this changes.
Hope this helped!
Please solve, will give BRAINLIST!!
Answer:
x = 19 1/3
Step-by-step explanation:
6/14 = 7/(x-3)
Using cross products
6 * (x-3) = 7*14
6x -18 = 98
Add 18 to each side
6x-18+18 =98+18
6x = 116
Divide each side by 6
6x/6 = 116/6
x =58/3
x = 19 1/3
Answer= 58/3
Step by Step
Step 1: Cross-multiply.
6*(x−3)=(7)*(14)
6x−18=98
Step 2: Add 18 to both sides.
6x−18+18=98+18
6x=116
Step 3: Divide both sides by 6.
6x /6 = 116 /6
x= 58 /3
6) By which least number should each of the following numbers be divided to make them perfect squares?
a) 3920
3920|2
1960|2
980|2
490|2
245|5
49|7
7|7
1
[tex]3920=2^4\cdot5\cdot7^2=(2^2)^2\cdot5\cdot7^2[/tex]
It's 5
Find the value of x in the figure below.
A. 25
B. 35
C. 45
D. 65
Answer:x=45
Step-by-step explanation:
If the sphere shown above has a radius of 17 units, then what is the approximate volume of the sphere?
A.
385.33 cubic units
B.
4,913 cubic units
C.
6,550.67 cubic units
D.
3,275.34 cubic units
Answer:
20582.195 unitsStep-by-step explanation:
This problem is on the mensuration of solids.
A sphere is a solid shape.
Given data
radius of sphere = 17 units
The volume of a sphere can be expressed as below
[tex]volume = \frac{4}{3}\pi r^3[/tex]
Substituting our data into the expression we have
[tex]volume = \frac{4}{3}*3.142*17^3[/tex]
[tex]volume = \frac{4}{3}*3.142*4913\\\\volume = \frac{61746.584}{3}= 20582.195[/tex]
The volume of the sphere is given as
20582.195 units
What is the exponential form of log9 5 = y
Answer:
y = 0.732
Step-by-step explanation:
log3²(5) = y
(1/2) × log3(5) = y
y = (1/2) × log3(5)
y = 0.732487
y = 0.732 ( 3 sig.fig )
for which values of x is A U B = Ø
Answer:
The first: 2 < x < 3Step-by-step explanation:
[tex]3x+4\geq13\\\\3x\geq9\\\\x\geq3\\\\A=\big<3\,,\ \infty)[/tex] [tex]\frac12x+3\leq4\\\\\frac12x\leq1\\\\x\leq2\\\\B=(-\infty\,,\ 2\big>[/tex]
[tex]A\cup B\not=\varnothing\quad for\ all\ x\in(-\infty\,, 2\big>\cup\big<3\,,\ \infty)[/tex]
so:
[tex]A\cup B=\varnothing\quad for\ x\in(\,2\,,\ 3\,)[/tex]
Answer:hi, the answer would be (a) or 2<x<3 hope this helps :)
Step-by-step explanation: i just took the test got em all correct
m∠QPSm, is a straight angle m∠RPS=6x+11 m∠QPR=7x+143 ;Find RPS
Answer:
23
Step-by-step explanation:
6x + 11 + 7x + 143 = 180
13x + 154 = 180
13x = 26
x = 2
m<RPS = 6(2) + 11 = 23
NEED ANSWER ASAP!! PLEASE!!! The length of a rectangle is 1 foot more than twice the width. Write an expression that represents the length.
Answer:
The expressión that represents the length:
a = 2w + 1
a = length of the rectangle
w = width of the rectangle
What is the following product? StartRoot 12 EndRoot times StartRoot 18 EndRoot StartRoot 30 EndRoot
Answer:
[tex] 6\sqrt{6} [/tex]
Step-by-step explanation:
[tex] \sqrt{12}\sqrt{18} = [/tex]
[tex] = \sqrt{12 \cdot 18} [/tex]
[tex] = \sqrt{4 \cdot 3 \cdot 9 \cdot 2} [/tex]
[tex] = \sqrt{36 \cdot 6} [/tex]
[tex] = \sqrt{36}\sqrt{6} [/tex]
[tex] = 6\sqrt{6} [/tex]
Following are the step by step solutions to the given expression:
Given:
[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]
To find:
solve=?
Solution:
[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]
[tex]\to \sqrt{2\times 2 \times 3} \times \sqrt{2\times 3 \times 3} \sqrt{2 \times 3 \times 5} \\\\ [/tex]
[tex]\to 2\sqrt{3} \times 3\sqrt{2} \sqrt{2 \times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \sqrt{2\times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \times \sqrt{2}\times \sqrt{3} \times \sqrt{5} \\\\ \to 6 \times 3 \times 2 \times \sqrt{5} \\\\ \to 36 \sqrt{5}[/tex]
Therefore, the final answer is "[tex]36\sqrt{5}[/tex]"
Learn more:
brainly.com/question/24050871
What is the formula for a^3-b^3??
Answer:
[tex]\boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
The difference of two cubes formula is given as:
[tex]a^3-b^3 =(a-b)(a^2 +ab+b^2)[/tex]
Step-by-step explanation:
[tex] {(a - b)}^{3} = {(a - b)}^{2} (a - b)[/tex]
[tex] {a}^{3} - 3{a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{2} (a - b)[/tex]
[tex] {a}^{3} - {b}^{3} + 3ab(a - b)= {(a - b)}^{2} (a - b)[/tex]
[tex] {a}^{3} - {b}^{3}= {(a - b)}^{2} (a - b) + 3ab(a - b)[/tex]
[tex] {a}^{3} - {b}^{3} = (a - b)(( {a}^{2} - 2ab + {b}^{2} ) - 3ab)[/tex]
[tex] {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]
Answer ASAP THANKKK YOUUUUU
Answer:
D. 40
Step-by-step explanation:
Interquartile range is the difference between the upper quartile value (Q3) and the lower quartile value (Q1).
In a box plot, Q1 is located at the beginning of the edge of the rectangular box from our left, while the Q3 is located at the end of the edge of the rectangular box to our right.
Interquartile range for City A = 70 - 40 = 30
Interquartile range for City B = 80 - 40
Therefore, city B has greater variability. The interquartile range is 40.
