Given:
Distance between two villages = 14 km
Map scale = 1:25000
To find:
The distance between the two villages on the map.
Solution:
Let the distance between the two villages on the map be x.
Map scale is 1:25000. So,
[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]
[tex]x=\dfrac{1}{25000}\times 14[/tex]
[tex]x=0.00056[/tex]
Therefore, the two villages are 0.00056 km apart on map.
Two lines are intersecting. What is the value of X? And to your answer in the box
Answer:
x = 51
Step-by-step explanation:
The two angles form a straight line
Angles that form a straight line add up to equal 180
Hence, 2x + 4 + x + 23 = 180
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created
2x + 4 + x + 23 = 180
step 1 combine like terms
2x + x = 3x
4 + 23 = 27
we now have 180 = 27 + 3x
step 2 subtract 27 from each side
180 - 27 = 153
27 - 27 cancels out
we now have 153 = 3x
step 3 divide each side by 3
153 / 3 = 51
3x / 3 = x
we're left with x = 51
If a = 3 inches and c= 5 inches, what is the measure of b?
2 inches
3 inches
4 inches
8 inches
B is 4 inches i think
hope that helps
Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?
Answer:
1/12 of the lasagna was left
Step-by-step explanation:
To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).
Answer:
[tex]\frac{1}{4}[/tex] of the lasagna
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]
4 = 2 × 2
3 = 3
6 = 2 × 3
LCM = 2 × 2 × 3
LCM = 12
4 × 3 × 6 = 72
[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]1-\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]
What is the missing number that will complete the factorization?
Answer:
I don't know what the answer choices are because this question is used twice But if im guessing correctly you mean the one where the answer choices are 6, 8, 12, and 24. The Correct answer is 6
a2 + 8a + 12 = (a + 2)(a + )
The answer is 6
Step-by-step explanation:
Suppose a publishing company estimates that its monthly cost is
C(x) = 600x2 + 300x and its monthly revenue is
R(x) = -0.423 + 700x2 – 600x + 500, where x is in thousands of
books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?.
PLEASE HELP! WAYYY OVERDUE!!!
Look at the box plots and decide whether each team's distribution is symmetric or skewed negatively or positively.
Answers:
Red = negative skewYellow = symmetricBlue = positive skew================================================
Explanation:
A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.
For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3 (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.
Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.
---------------
If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.
A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?
Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
The perimeter of a rectangle is 84 cm. If the length is 29 cm write an equation you can use to answer this question
Answer:
The perimeter of a rectangle has the general formula P=2L+2W. Since you know P and L, you can plug those values into the formula and solve for W.
Hope this answer is right!!
Answer:
Width: 13
Area: 42
Step-by-step explanation:
A rectangle has equal opposite sides, so if you know one side, you know that the opposite side will be the same. Then you can subtract it from the perimeter, and divide the remaining number in half because it represents the other opposite sides. If you were trying to find the area, do that to find the length and width. 29x13=42, so the area is 42. If you were trying to find the width, that would be 13 because
29+29=58
84-58=26
And 26/2=13
The equation of a circle is (x+8)2+(y-5)2=14. What are the coordinates of the center of the circle?
Answer:
(-8,5)
Step-by-step explanation:
The standard form of the equation of a circle is expressed as;
(x-a)^2+(y-b)^2 = r^2 where;
(a, b) is the centre
r is the radius
Given the equation (x+8)^2+(y-5)^2=14.
Compare the two expressions
-a = +8
a = -8
Similarly;
-b = -5
b = 5
Hence the centre of the circle is at (-8,5)
what is the Quotient of 16.29÷100
Answer:
~0.16
Step-by-step explanation:
quotient, i believe, is just the answer to a division problem. divide normally and u get 0.1629
Answer:
Maybe the answer is 0.1629
Type the missing number in this sequence: 10, 100, 1,000, 10,000,
Answer:
10, 100, 1,000, 10,000, 100,000
If you are adding one zero in the end for every number, then 100,000 will be your next number
Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.
=====================================
Work Shown:
area = base*height
area = 16*7
area = 112 square cm
----------------
Extra info (optional section):
The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.
Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.
The graphs of f(x) and g(x) are shown below.
o o
00
f(x)
4
2
5
21
2
-2 -1
-2
3
-4
g(x)
-6
-8
-12
-147
What are the solutions to the equation f(x) = g(x)?
Combine like terms
1) 3y + 4y
2) -7( -4 - 2s)
3) 7f - 9f - 4
4) 9 + 7 + 6d + 2d
5) 7 + 9r + 3
6) -2(7 - 8s) - 4
7) q - 9q
8) -3( -2h + 6)
9) 3q + 9q - 4 + 2
10) 3 + 5(2d - 6)
Answer:
1.7y
2.-14s
3.-2f
4.23d
5.19r
6.-2s
7.-9q
8.24h
9.10q
10.23d
Step-by-step explanation:
I TRY MY BEST TO SOLVE IT
HOPE IT HELPS
CORRECT ME IF I AM WRONG
1. 7y
2. 28 + 14s
3. -2f - 4
4. 16 + 8d
5. 10 + 9r
6. -18+ 16s
7. -8q
8. 6h - 18
9. 12q - 2
10. 10d -27
HELLPPPP YALLLLLLLLK ASAPPPPP
4) Let the number be : N
Given : 10% of this number is 25
[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]
[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]
[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]
[tex]\sf{\implies N = 250}[/tex]
Now we need to find 60% of 250
[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]
[tex]\sf{\implies 6 \times 25}[/tex]
[tex]\sf{\implies 150}[/tex]
5) Given : James left the home at 10 : 00 AM
First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.
So, James reached the skate park 10 : 15 AM
Second : They stayed at the skate park for an hour
So, till 11 : 15 AM James and Tom were at skate park
Third : Then they will take a 10 minutes walk over to the Burger bar
So, James and Tom reached the Burger bar at 11 : 25 AM
6) First let us find 75% of 80
[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]
[tex]\sf{\implies 15 \times 4}[/tex]
[tex]\sf{\implies 60}[/tex]
Now let us find 40% of 30
[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]
[tex]\sf{\implies 12}[/tex]
Now, (60 - 12) = 48
Answer: 75% of 80 is 48 greater than 40% of 30
7) Given : Journey to school takes 70 minutes
We know that : 1 hour = 60 minutes
So, 70 minutes = 1 hour + 10 minutes
Given : Boy leaves the home at 0715
Answer: The Boy arrives at 0825
Please I need help with this!!!!!!!
Answer:
Step-by-step explanation:
1). Step 4:
[tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]
[tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]
[tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]
Step 5:
[tex]x=\sqrt[3]{(5)^3\times 5}[/tex]
[tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
[tex](3x-1)^{\frac{1}{5}}=2[/tex]
Step 1:
[tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]
Step 2:
[tex](3x-1)=2^5[/tex]
Step 3:
[tex]3x=32+1[/tex]
Step 4:
[tex]x=11[/tex]
4). By substituting [tex]x=11[/tex] in the original equation.
[tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]
[tex]=(2^5)^\frac{1}{5}[/tex]
[tex]=2[/tex]
There is no extraneous solution.
1). Step 4:
x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31
x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a
x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5
Step 5:
x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5
x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
(3x-1)^{\frac{1}{5}}=2(3x−1)51=2
Step 1:
(3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215
Step 2:
(3x-1)=2^5(3x−1)=25
Step 3:
3x=32+13x=32+1
Step 4:
x=11x=11
4). By substituting x=11x=11 in the original equation.
(3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51
=(2^5)^\frac{1}{5}=(25)51
=2=2
There is no extraneous solution.
2x-1+3x=0 5x-1=0 how can we get equation b from a
Rewrite one side (or both) by combining like terms.
What is equation?It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2x – 1 + 3x = 0..........(A)
5x – 1 = 0................(B)
To get Equation B from A, we would rewrite one side (or both) by combining like terms
2x – 1 + 3x = 0
5x – 1 = 0
Learn more about equation here:
brainly.com/question/10413253
#SPJ7
Which of the following is a fifth degree binomial?
Answer:
C)
Step-by-step explanation:
[tex]2xy^{2}-5y^{5}[/tex]
Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5
pls help me i need to hand in this project today
Answer:
it is too fine i cant really see the work
A right triangle has side lengths d, e, and f as shown below use these lengths to find sinx, cosx, and tanx
Answer:
sinx= d/f
cosx= e/f
tanx= d/e
2x/7-3=2
What is the value of x
Answer:
35/2 or 17.5
Step-by-step explanation:
2x / 7 - 3 = 2
2x / 7 - 3 + 3 = 2 + 3
2x / 7 = 5
(2x /7) x 7 = 5 x 7
2x = 35
x = 35/2 or 17.5
Answer:
[tex]x = \frac{35}{2} [/tex]
Step-by-step explanation:
[tex] \frac{2x}{7} -3=2[/tex]
[tex] \frac{2x}{7} = 2 + 3[/tex]
[tex]\frac{2x}{7} = 5[/tex]
[tex]x = \frac{7}{2} \times 5[/tex]
[tex]x = \frac{35}{2} [/tex]
Decimal Form:
[tex]x = 17.5[/tex]
Mixed Number Form:
[tex]x = 17 \frac{1}{2} [/tex]
Hope it is helpful...which point is a solution to the inequality shown in this graph
(0, 5)
(3, 2)
(-3, -6)
(5, 0)
Answer:
(0,5)
Step-by-step explanation:
if the point is graphed in the blue area then it is a solution to the inequality
Note: because the line is dashed points graphed on the line are not solutions
(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.
even though we may have found the answer let's check the rest just to be safe
(3,2) and (-3,-6) are graphed on the line
remember because the line is dashed points that fall on it are not solutions
therefore (3,2) and (-3,-6) are not Solutions
(5,0) when graphed is not in the shaded area and is therefore not a solution
we can conclude that a is the answer
a vertical stick is 8 cm high and the length of its shadow is 6 cm find the distance between the top of the stick and it's shadow
Answer:
10
Step-by-step explanation:
8 and 6 are the numbers you work with
using the formula [tex]a^{2} + b^{2} = c^{2}[/tex]
we get : [tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]
64 + 36 = [tex]c^{2}[/tex]
100 = [tex]c^{2}[/tex]
[tex]\sqrt{100} = \sqrt{c^{2} }[/tex]
10 = c
why does reflexive property exist
analee wants to buy a flute that costs $240 she has saved $20 each week for 3 weeks how many more weeks does analee need to save money if she continues to save $20 each week
Answer:
9
Step-by-step explanation:
240/20=12
That mean's takes 12 weeks in total.
But, 3 weeks was already done.
So, you do 12 -3.
Which equals 9.
So, the answer is 9.
Please give me brainiest!!!
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right
A) 80/140 is the portion that describes the book readers over all people surveyed
B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.
that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie
C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city
the probabilities of having 0,1,2,3, or 4 people waiting in line at a grocery store are shown in the probability distribution below. what is the expected number of people waiting in line, rounded to the nearest tenth?
Answer:
1.4
Step-by-step explanation:
Given the probability distribution :
X _____ 0 ____1 ____ 2 ____ 3 ____4
P(x) _ 0.16 _ 0.41 _ 0.32 __ 0.09 __ 0.02
Expected number of people waiting in line :
E(X) = Σ(x * p(x))
E(X) = (0*0.16) + (1*0.41) + (2*0.32) + (3*0.09) + (4*0.02)
E(X) = 1.4
Answer:
1.4
Step-by-step explanation:
Help please help please
Answer:
12.57 in⠀⠀⠀⠀⠀
Answer:
12.56 inches
Step-by-step explanation:
A= pie x r^2
= 3.14 × 2^2
= 3.14 × 4
= 12.56
The radius of a circle is 2 meters. What is the area of a sector bounded by a 135 degree arc? Give the exact answer in simplest form
Answer:
Area of circle bounded by a 135 ° arc is 4.71 m ²
Step-by-step explanation:
Given that :-Radius of circle, r = 2 m
Angle of the circle , θ = 135 °
To Find :-Area of circle bounded by a 135 ° arc.
Solution :-Using Formula
Area of circle = θ/ 360 × π × r ²
substitute the values,
Area of circle = 135 /360 × 3.14 × ( 2 m) ²
solve it
Area = 27 / 72 × 3.14 × 4 m ²
Area = 27 / 18 × 3.14
Area = 1.5 × 3.14
Area = 4.71 m ²
Therefore, Area of circle bounded by a 135 ° arc is 4.71 m ²
Answer:
it's 3/2pi
Step-by-step explanation:
.
Fill in the blanks on the unit circle.
HELP ASAP
