A map of a highway has a scale of 2 inches equals 33 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch equals 30 miles. How far apart are the rest stops on the new map?
(nvm)
Answers
Answer:
The answer is "0.975"
Step-by-step explanation:
Please find the complete question in the attched file.
Find the remaining distance inside the original map
[tex]\to \frac{9}{6}=1.5 \ in[/tex]
Dividing the value by 6 because there are 7 rest stop:
[tex]\to \frac{2 \ inches}{39 \ inches} =\frac{1.5 \ inches}{x \ miles}\\\\\to x=39 \times \frac{1.5}{2}\\\\\to x=29.25 \ miles[/tex]
Finding the diatance of the rest stop in the new map
Using proportion:
[tex]\to \frac{1 \ inches}{30 \ miles} =\frac{x \ inches}{ 29.25 \ miles}\\\\\to x= \frac{29.25}{30}\\\\\to x=0.975 \ in[/tex]
Related Questions
Andre and Mai are discussing how to solve for side AB. Andre thinks he can
use the equation tan(12 degrees)=x/6 to solve for AB. Mai thinks she can use
the equation tan(78 degrees)=6/x to solve for AB. Do you agree with either of
them? Show or explain your reasoning.
Answers
Answer:
Both Andre and Mai are correct
Step-by-step explanation:
A drawing of the the triangle ΔABC is created with MS Visio and attached here
In the drawing, we have;
Segment AB = x
Segment AC = 6
By trigonometric ratio, in a right triangle we have;
[tex]Tan(\angle X) = \dfrac{The \ length \ of \ the \ opposite \, side \ to \ \angle X }{The \ length \ of \ the \ adjacent\, side \ to \ \angle X}[/tex]
Where 'X' = 12° as shown in the figure, we have;
[tex]tan(12 ^{\circ}) = \dfrac{AB}{BC} = \dfrac{x}{6}[/tex]
Therefore, Andre is correct
Similarly, we have;
[tex]tan(78 ^{\circ}) = \dfrac{BC}{AB} = \dfrac{6}{x}[/tex]
Therefore, Mai is also correct
Therefore, Andre and Mai are correct.
You and your family went to Texas Roadhouse for dinner. Your check was $89.25. If you left the waitstaff 20%, how much was your total bill?
Answers
Answer:
the answer is 107.4
More info
20 percent off
You will pay $71.4 for a item with original price of $89.25 when discounted 20%. In this example, if you buy an item at $89.25 with 20% discount, you will pay 89.25 - 17.85 = 71.4 dollars.
brainliest pls
Step-by-step explanation:
Can someone please help me ?
ill mark you as brainliest if its correct kk.
no absurd answers thank you.
Answers
Answer:
72000 cm
Step-by-step explanation:
Answer: Woo, that's a hard one, but it's 72,000.
Use the standard volume formula and you'll be chill.
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
Step-by-step explanation:
P = £1100
r = 5%
t = 6 years
I =P*r*t
[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]
Amount = P + I = 1100 + 330 = £1430
Kristen needs to earn $320 in commission this week. She earns 8%
what she sells at the electronics store. How many dollars worth of
merchandise does she need to sell? Round to the nearest dollar. *
Answers
If she needs to earn $320, and she earns 8% commission, you’re looking for what 8% of original amount equals $320.
X = original amount
8% = .08
$320 = amount needed
X * .08 = $320.
X = $320/.08
X= $4,000
Kristen needs to sell $4,000 worth of merchandise at an 8% commission rate to earn $320.
Find the area of the following rectangle. Type out al work
Answers
Step-by-step explanation:
[tex]area = length \times width \\ = (4x + 3) \times (2x + 2) \\ = ( {8x}^{2} + 8x + 6x + 6) \\ = ( {8x}^{2} + 14x + 6) \: {units}^{2} [/tex]
Answer:
[tex](8x + 14x + 6)^{2}[/tex]
Step-by-step explanation:
Area of a rectangle is length x breadth
In the given figure, the length is 2x + 2 and breadth is 4x + 3
So, the area would be:-
(2x + 2) (4x + 3)
[tex]8x^{2}[/tex] + 6x + 8x + 6
So the area would be => [tex](8x + 14x + 6)^{2}[/tex]
Find the values of x and y. Write your answers in simplest form.
Answers
Answer:
x = 4
y = 2√2
Step-by-step explanation:
This triangle can be recognized as a 45 - 45 - 90, right isosceles triangle. The hypotenuse in a right isosceles triangle is √2 times a leg. We can say:
x = √2 * 2√2
x = 4
Since the triangle is isosceles, we can say the legs are equal, therefore:
y = 2√2
A jar has 28 cherry-flavored candies, 19 strawberry-flavored candies, 20-orange flavored candies, and 33 lemon-flavored candies. If a candy is taken from the jar at random, what is the probability that it will be a cherry-flavored cnady?
Answers
Answer: 7/25 or 28%
Step-by-step explanation:
28 (cherry) + 19 (strawberry) + 20 (orange) + 33 (lemon) = 100 (total)
so p(cherry), or the probability of getting cherry, is 28/100 (7/25)
that as a percent is 28%
Below. What is m∠1?
m∠1 =
Answers
Answer:
m<1 = 70
Step-by-step explanation:
I'll have m<1 = x:
Exterior angles thm:
x + 31 = 101
x = 101 - 31
x = 70
Annie buys some greeting cards. Each card costs $1.75. She pays with a twenty dollar bill.
Let n represent the number of greeting cards Annie buys. Write an expression that represents
the amount of change Annie should receive.
Enter your expression in the space provided.
Answers
Answer:
Step-by-step explanation:
What is the principal square root of 36?
A. 6
B. 7
C. 8
D. 9
Answers
Answer:
A. 6
Step-by-step explanation:
square root is the number that when multplied by itself will give you the specified amount.
6 x 6 = 36
Function h is the sum of functions fand g. AX) = 13x - 7 g(x) = 2x + 6 Which equation defines function h?
Α. h(x) = 26X – 42
B. h(x) = 15X – 1
C. h(x) = 26x2 - 42
D. h(x) = 15x2 - 1
Answers
Answer:
Answer would be B.
just add 13x-7 to 2x+6
Someone pls help me I’ll mark brainliest
Answers
Answer:
option 4
Step-by-step explanation:
it can't be greater or equal to so mark off the other ones and we also don't know how many games he played so put a variable beside that 2.5 hope this helps
kim is completing a 40 mile bicycle race she completed 65% of the race how many miles are left?
Answers
Answer:
all you need to so is multiply 40 by .65 then you will get your answer of 26 miles left
Step-by-step explanation:
A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock
a:119j
b:588j
c:100j
d:196j
Answers
which equivalent expression will be generated by applying the distributive property and combining like terms in the expression 11+4(x + 2y+4)
A. 4x + 2y + 27
B. 4x + 8y + 11
C. 4x + 8y + 27
D. 4x + 8y + 10
Answers
Answer:
None of these are right
Step-by-step explanation:
None of them are right because it is 18 not 27 or 10 or 11
Answer:
c.
Step-by-step explanation:
11+4(x + 2y+4)
11+4x+8y+16
combine 11 and 16
4x+8y+27
Find the area of the shape.
Answers
Answer:
area = 72 yd²
Step-by-step explanation:
area = (4 x 10) + (4 x 8) = 72 yd²
f(x)=x^2. what is g(x)?
Answers
g(x)=1/3x^2
1) Complete the input-ouput table for the linear equation y = 4x + 2.
Answers
Answer:
5, 42, 15, 82
Step-by-step explanation:
y=4x+2
22=4x+2
20=4x
5=x
y=4(10)+2
y=40+2
y=42
62=4x+2
60=4x
15=x
y=4(20)+2
y=80+2
y=82
Match each graph to the corresponding linear equation. help plzzzz i hate math
Answers
ANSWER:
GRAPH A: Equation 4
GRAPH B: Equation 3
GRAPH C: Equation 2
GRAPH D: Equation 1
Find and interpret the range of the data.
The range is___. The prices vary by no more than ___ $
Answers
Answer:
bro i have that too and i need help bro
Step-by-step explanation:
Acellus
Find the volume of the following
square pyramid.
3 cm
2 cm
2 cm
V = [?] cm3
Enter
Answers
Answer: 4
Step-by-step explanation:
ANSWER ASAP I WILL MAKE BRAINLYIST
solve 2x+2y=-4, 6x-2y=12 using Elimination
NO LINKS (i need the steps not just the answer)
Answers
Answer:
2x+2y=-4
since we don't know the value of the letters, we could ignore it. then we add 2+2 which equals 4
6x-2y=12
In this case this equation is incorrect.
Step-by-step explanation:
sorry if I'm incorrect
(please if I'm correct, I really need the brainliest)
Answer:
(1,-3)
or
x=1 y= -3
Step-by-step explanation:
Looking at this we can see that there's a 2y in both of the equations (one is negative while the other is positive and so we'll add them)
so we have
(2x+2y)+(6x-2y)= -4+12
this simplifies to
8x=8
x=1
We know that x=1 and so we will plug this back into one of the two equations
2(1)+2y= -4
2+2y= -4
2y= -6
y= -3
Therefore the solution is (1,-3)
PLS HELP EASY QUESTION TYSM IF U HELP
Answers
Answer
c.
Step-by-step explanation:
4.50 + 4.50 = 9.00
and so on
Find mGM if KP = PL and GH = 36 ft.
Answers
Circle geometry are made up of lines and angles. The measure of the angle arcGM is 90degrees
Circle geometryCircle geometry are made up of lines and angles
From the given diagram, the sum of angles on the straight line GKH is 180 degrees
arcGM + arcMN = 180 degrees
Given that arcMN = 90 degrees, hence;
arcGm = 180 - 90
arcGM = 90 degrees
Hence the measure of the angle arcGM is 90degrees
Learn more on geometry here:https://brainly.com/question/19241268
#SPJ2
Answer:
mGM is 77 degrees
Step-by-step explanation:
Nikki grows 20 tomato plants.
She measures their heights to the nearest centimetre, and writes them down.
Answers
Answer:
5 ≤ h < 10 = 2
10 ≤ h < 15 = 6
15 ≤ h < 20 = 10
20 ≤ h < 25 = 2
JUST PLS HELP MEEE v_v
Answers
Answer:
81.64
Step-by-step explanation:
I think this us basically asking for it's circumference, therefore;
C = dπ
C = 26π
C = 81.64
Hope this helps!
What is the measure of the inscribed arc whose inscribed angle measures 36 degrees?
A. 36 degrees
B. 72 degrees
C. 108 degrees
D. 18 degrees
Answers
Answer:
b
Step-by-step explanation:
Answer:
it is A. or B.
Step-by-step explanation:
Which two-dimensional shape could be created by a plane
slicing vertically through this hemisphere?
Answers
Answer:
circle
Step-by-step explanation:
A semicircle could be created by a plane slicing vertically through a hemisphere.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons),
The plane would cut through the middle of the hemisphere, creating a circle with half the diameter of the original hemisphere. This circle is the base of the semicircle and the curved surface of the hemisphere forms the arc of the semicircle.
Thus, a semicircle could be created by a plane slicing vertically through a hemisphere.
Learn more about the circles here:
brainly.com/question/1554214
#SPJ2
Why is Armin so precious?
Answers
Answer:
bc hes a babyyyyy <3333
Step-by-step explanation: