Step-by-step explanation:
5 inches on the map correspond to 210 miles (or even a bit more) in reality.
we do know, the real length of the state is 213 miles.
and 8 inches to 410 (or a bit more) miles.
but, in fact, in reality, Kansas is indeed 410 miles long.
so, let's see first about the consistency of the scale factors (our ratios) in every direction.
5 inches / 210 miles = 1/42
8 inches / 410 miles = 4/205 = 1/51.25
so, in order to be a true map, both directions must have the same scale factor.
to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25
so,
A with the ratio 1/1 is wrong.
B wrong.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
so, the scale ratio here is
1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54
still far off of the 1/51.25 ratio.
C with the ratio 1/10 is wrong.
D wrong
1 ft = 12 inches
the ratio is therefore
12/100 = 3/25 = 1/8.3333
still far off of the 1/51.25 ratio.
E would fit
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
200 km = 200/1.6
so, the scale ratio here is
1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =
= 1.6 / 508
still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.
F would fit.
the ratio is 1/100.
this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.
G would fit.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
1000 km = 1000/1.6
so, the scale ratio here is
1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =
= 1.6 / 2540
again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.
Need help! Solve for X on both
hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?
Answer:
50 minutes
Step-by-step explanation:
Amount of time his journey took = 15km ÷ 18km/h
= 0.833h (to 3sf)
= 50 minutes
Consider the system of equations.
y=3x−2−7x−2y=−9
Solve the system of equations algebraically.
Answer:
(x, y) = (-5/13, -41/13)
Step-by-step explanation: (Assuming the following corrections:)
y = 3x-2
-7x-2y = 9
-7x-2(3x-2) = 9
-7x-6x+4 = 9
-13x = 5
x = -5/13
y = -5/13(3) - 2
y = -15/13 - 2 = -41/13
Use the number line to help you decide which statement is true.
(A)
(B)
(C)
Answer:
I think it's (A). 5
I don't know
Answer:
5/8 > 1/2
Step-by-step explanation:
No need number line. Just use fraction walls
Match the pairs of equivalent expressions.
i would say y + 2/5y is the equivalent expression of 7/5y and y - 2/5y is the quivalent expression of 3/5y but im not sure
given r||s, what is the measure of <1 ?
Step-by-step explanation:
post the full question
hope this helps you.
A student from last year got an answer of 36 when asked to simplify the expression below. Identify the student’s mistake? Then solve it correctly.
`2+10\ \times\ 3`
Chris
goes to a shop to buy meat, vegetables and fruit.
(a) The costs of the meat, vegetables and fruit are in the ratio
meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Calculate the total cost of the meat, vegetables and fruit.
Answer:
meat = $2.40
vegetables = $ 2.40
fruit = $2.40 + X
= 2.40 ÷ 2
= 1.2
therefore 2.40 + 1.2
=$3.6 (For fruits )
= $3.6 + $2.40 + $2.40
= $ 8.4
Hope this helps .Plzz mark me brainliest
The total cost of the meat, vegetables and fruit is $8.4.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the costs of the meat, vegetables and fruit are in the ratio meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Let the total cost of the meat, vegetables and fruit be x.
Now, 2+2+3=7
So, 2/7 ×x=2.40
2x=2.40×7
2x=16.8
x=8.4
Therefore, the total cost of the meat, vegetables and fruit is $8.4.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
Jeff made 2 out of every 5 baskets he shot during basketball practice. If he took 25 shots, how many baskets did he make? You MUST show your proportion and work!
Answer:
30 many shoot basket did he make
PLEASE HELP!!!!! You are given an isosceles trapezoid ABCD with median XY. Complete the following.
m
tbh ive fogotten how to do all of these so plz helpppppppppp
Answer:
16.26°
Step-by-step explanation:
Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.
• Adjacent side: side on which the right angle and angle of interest lie
• Opposite side: side facing the angle of interest
• Hypotenuse side: side facing the right angle
In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.
Given these two sides, we use tangent to find the unknown angle.
[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]
[tex] \tanθ = \frac{7}{24} [/tex]
Tasking the inverse of tangent on both sides:
[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]
θ= 16.260° (3 d.p.)
Thus, the second option is correct.
Notes:
[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]
[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]
so far , a storm has traveled 35 miles in 1/2 hour. if its currently 5:00pm and the storm is 105 miles away from you , at what time will the storm reach you ? explain your answer
Answer:
hey do you want money if yes then tell me I will give you 1000$
A company makes a profit of $1.38 million. This is $2.54 million more than last year. What was the profit last year?
The answer also asks for us to fill in the blank; "The profit last year was $__ million, so I need help filling in the blank.
The "million" part is already taken care of by your teacher.
====================================================
Explanation:
x = profit last year (millions of dollars)
x+2.54 = profit this year, which is 2.54 million more than last year
x+2.54 = 1.38
x = 1.38-2.54
x = -1.16
The profit last year was -1.16 million dollars
This is the same as writing -1,160,000 dollars of profit.
A negative profit indicates that the company lost money. This is when the company is spending more than what they earn (i.e. they are in some kind of debt).
Find f(x) if it is known that f(x-2)=2x-4
Answer:
f=2
Step-by-step explanation:
f(x-2)=2x-4
divide x-2 to 2x-4
f=2
f(2-2)=4-4
Here's a question ~
can anyone give the explanation ?
Answer:
See belowStep-by-step explanation:
As per the question we have:
The y - intercept is b = -1The slope has same angle with x- and y - axis.This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.
So the lines could be:
y = x - 1 ory = -x - 1Lines must be perpendicular to each other as they are cutting at y intercept -1
Slope intercept form of line
for slope -1
y=-x-1For slope 1
y=x-1
Directions: Solve each of the following problems. Show your solution. (5 points each)
1. Bailey’s rectangular dog pen for his Irish setter must have an area of 400 square feet.
Also ,the length must be 10 feet longer than the width. Find the dimension of the pen.
Answer:
400=(×+20)× is the equation or
400=×^2+20×
(×+10)= square root of 500
×+10=10 radical 5
final answer -10 + or - 10 radical 5=×
hoose the statement that describes its
solution.
3(x + 8) - 9x = 6(4- x)
O There is no solution.
оо
There is only one solution.
ws
о
All real numbers are solutions.
Answer:
3rd option
Step-by-step explanation:
3(x + 8) - 9x = 6(4 - x) ← distribute parenthesis on both sides
3x + 24 - 9x = 24 - 6x , collect like terms on left side )
24 - 6x = 24 - 6x
Since both sides are the same then any value of x will make the equation true.
That is all real numbers are solutions
Answer: C g(x) is a function because f(x) is one-to-one.
Step-by-step explanation:
will mark brainliest
Answer:
115
Step-by-step explanation:
Choose the correct answer
Answer:
b) 50 degrees
Step-by-step explanation:
I'm not sure if it 100% correct but this is what i remember:
BCE is a straight line and a straight line is equal to 180 degrees.
If AB=AC then the angle of both those corners will be 180-115
which equals to 65 degrees (both angles)
Now because all corners of a triangle add up to 180
you can do 180-65-65 which is 180-130
this equals to the angle BAC which is 50 degrees
Can someone help please
Someone help plz make sure it’s right will make brainiest:)
Answer:
it's ether 1 or 2
cuz the slope is 1/3
Answer:
It is 2
Step-by-step explanation:
Which is y=1/3x + 10/3
a new car increased in price from 78200 to 136850 what is the percentage increase
Answer:
The percentage increase is by 1.75
Step-by-step explanation:
78,200 x 1.75 = 136,850
can someone please help me as soon as possible
Answer:
a quadratic function is letter A
Colleen divided integer a by −2 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b.
a
b
= 6
Answer:
hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.
Step-by-step explanation:
A baker used 3kg of baking powder every for every 12kg of flour. if he used 180kg of flour for the Christmas season. how many kg of baking powder did he use in all. help now, please
Answer:
Step-by-step explanation:
12 kg of flour for 3 kg of baking powder
so 1 kg of flour = 3/12 or 1/4 of baking powder
180 kg of flour = [tex]\frac{1}{4}[/tex] × 180 kg of baking powder
= 45 kg of baking powder for 180 kg of flour
please give me a brainliest answer
Step-by-step explanation:
Step-by-step explanation:
12 kg of flour for 3 kg of baking powder
so 1 kg of flour = 3/12 or 1/4 of baking powder
180 kg of flour = 14\frac{1}{4}
4
1
× 180 kg of baking powder
= 45 kg of baking powder for 180 kg of flour
please give me a brainliest answer
jika abcd adalah jajar genjang dengan koordinat titik A(-2,-1). B(3,-1) dan C (5,3) maka koordinat titik d adalah
a. D (3,0)
b. D ( 2,3)
c. D (-4,3)
d. D (0,3)
jumlah bilangan genap antara 0 dengan 51
a. 100
b. 650
c. 2500
d. 98
jumlah bilangan genap kelipatan 3 antara 20 dengan 100 adalah
a. 78
b. 120
c. 780
d. 13
1. D. (0,3)
2. B. 650
3. C. 780
Bener semua kok
semoga membantu.
kasi brainliest oi wkwkwk
four more than the quotient of a number and six. write in algebraic expression
Answer:
4+n/6 (the slash means a fraction with n on top.) <3
Step-by-step explanation:
Tu
Miguel measured the town library and made a scale drawing. The scale he used was
1 millimeter : 7 meters. The parking lot is 7 millimeters long in the drawing. How long is the
actual parking lot?
Answer:
The parking lot is actually 49 meters.
Nadia says figure A id dilated to form figure A' using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?
Answer:
Nadia says figure A is dilated to form figure A9 using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?
Step-by-step explanation:
Toby picks a 4-digit number.
It is larger than 2999 and it is a multiple of 2.
How many different numbers could he have picked?
Let’s reduce this question into easier terminology.
The number is a multiple of 2, meaning it is an even number. It is larger than 2,999 and less than 10,000 (since it is a 4 digit number).
Thus, Toby could have picked any even number from 3000 to 9,999. So this question is asking how many even numbers (multiples of 2) are between 3000 and 9,999.
For every thousand, there are 1000/2 = 500 multiples of 2:
500 multiples between 3,000 and 3,999
500 multiples between 4,000 and 4,999
and so on until 9,999. So there are
7*500 = 3500 multiples of 2 in this range.
Toby could have picked 3500 possible numbers.