Answer:
600 miles
Step-by-step explanation:
The actual distances between the cities are expected to be proportional to those on the map.
__
AB/(1.8 ft) = CD/(2.16 ft) . . . . ratio of miles to feet is constant
CD = AB(2.16 ft)/(1.8 ft) = (500 mi)(6/5)
CD = 600 mi
The actual distance between City C and City D is about 600 miles.
Find the length of the third side. If necessary, round to the nearest tenth.
24
ко
Answer: 26
Step-by-step explanation: The third length is the hypotenuse or the longest side
ASAP worth 50 points
Answer:
32.5 square feet
Step-by-step explanation:
Area of a trapezoid
1/2 x (a + b) x ha and b = length of parallel sidesh = heightSolving
Here : a = 5, b = 8, and h = 5Area = 1/2 x (5 + 8) x 5Area = 1/2 x 13 x 5Area = 65/2Area = 32.5 square feetAnswer:
32.5 square feet
Step-by-step explanation:
here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,
formula for the area of a triangle is 0.5 × base × height
therefore,
the area of the triangle is 7.5
the area of a square is equal to the length of the side squared.
5^2 = 25
the sum of 25 + 7.5 = 32.5
final answer is 32.5 square feet
if you need any further guidance make sure to ask:)
Please show work y’all thank you!
A 10-speed bike changes gears by moving the chain to different size sprockets on the front and back. The speed at which the bike goes varies directly with the number of revolutions per minute (rpm) you turn the pedals, directly with the number of teeth on the front sprocket, and inversely with the number of teeth on the back sprocket. A standard bike with 70 cm diameter wheels will go about 7.4 kilometers per hour if you pedal 40 rpm in the lowest gear (39-tooth front sprocket, 28-tooth back one). Write an equation expressing km/h in terms of the three independent variables.
The variation is a joint variation, and the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]
How to determine the equation in terms of the variables?The direct and the inverse variations from the question can be represented using:
[tex]s = k\frac{rf}{b}[/tex]
Where:
s represents the speed; s = 10k represents the constant of variationr represents the number of revolutions per minutef represents the number of front sprocket teethb represents the number of back sprocket teethFrom the question, we have:
r = 40; f = 39; b = 28
So, we have:
[tex]s = k\frac{rf}{b}[/tex]
[tex]10 = k\frac{40 * 39}{28}[/tex]
Make k the subject
[tex]k = \frac{10 * 28}{40 * 39}[/tex]
Evaluate
k = 0.18
Substitute k = 0.18 in [tex]s = k\frac{rf}{b}[/tex]
[tex]s = 0.18\frac{rf}{b}[/tex]
Hence, the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]
Read more about variation at:
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What is the standard deviation of the data? 0.5 1.5 2.0 2.5
Answer:
0.74
Step-by-step explanation:
The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:
σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]
x = number in the data set
xbar = median of the data set
n = number of terms
Plugging in the given values, the equation for the variance of this number set is:
σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]
Solving:
= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]
= [tex]\frac{2.1875}{4}[/tex]
σ² = 0.546875
Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:
[tex]\sqrt{0.546875}[/tex]
= 0.73950997288745
= 0.74 (rounded)
hope this helps!
Answer:
0.5
Step-by-step explanation
Because it is a standar deviation
Two yellow lines (one solid, another broken) in the center of a two-way road mean that vehicles traveling ___________.
is 1/2 x + 6 > 11 equal to x=-3
Answer:
Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.
A bucket contains 3 small red blocks, 5 small yellow blocks, 5 large yellow and 7 large red blocks. If a block is drawn randomly, what is the probability that the block is yellow, given that it is one of the large yellow blocks
Answer:
probability = favorable cases / true cases
p(A)=5/20 simplified by 5 = 1/4
answer : the probability that the block is one of the large yellow it's 1/4.
Identify the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis.
Answers:
T (−1, −3), U (−3, 17), V (12, 8)
T (1, −3), U (3, 17), V (−12, 8)
T (3, −1), U (−17, −3), V (−8, 12)
T (1, 3), U (3, −17), V (−12, −8)
Answer:Reflecting over the y-axis = (x,y) → (-x,y)
So T will be (1,3) , U (3,-17) and V (-12. -8)
So D
Step-by-step explanation:
Answer:
T (1, 3), U (3, −17), V (−12, −8)
Step-by-step explanation:
To find the image as it is reflected from the preimage across the y-axis, apply the transformation rule, (x,y)→(−x,y), to each of the preimage points.
T(−1,3)→T'(1,3)
U(−3,−17)→U'(3,−17)
V(12,−8)→V'(−12,−8)
Draw lines between the found vertices to construct the reflected figure.
Therefore, the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis is the figure with vertices T'(1,3), U'(3,−17), and V'(−12,−8).
Write each fraction as a percentage
Answer:
answer below
Step-by-step explanation:
3/5=60%
1/50=2%
9/10=90%
9/5=180%
18/60=30%
At what price should Nepali bags be sold in order to make a profit of 140% by selling 2000 bags in the USA which was purchased in Nepal for Rs. 800 each and after paying 15% export tax ? [Given that $1 = Rs. 105.00.]
The price at which the Nepali bags should be sold in order to make a profit of 140% is $21.02.
What is the price the bags should be sold ?Profit is total revenue less total cost.
The first step to convert Rs. 800 to US dollars: 800 / 105 = $7.62
The second step is to determine the total cost including taxes: 1.15 x 7.62 = $8.76
Selling price = (1 + 1.40) x 8.76 = $21.02
To learn more about percentages, please check: https://brainly.com/question/25764815
A new car is purchased for 27,500 dollars. The value of the car depreciates at a rate of
9% per year. Which equation represents the value of the car after 2 years?
Answer:
A=27,500(1-.09)² or A=27,500(0.91)²
How many different vacation combinations do you have to choose from?
Answer:
12 different vacation caombinations
Step-by-step explanation:
has 3 options of Theme Park and 4 options of length of trip
[tex]C=(3)(4)=12[/tex]
Hope this helps
Michael sold property for much more than he originally paid. The difference
between the price he paid for the property and the price for which he sold it is:
O simple interest.
O capital gains.
O capital goods.
O compound interest.
Answer:
Capital Gains
Step-by-step explanation:
selling for more than you bought is a gain
You want to take a trip to the beach, which costs $450. You
have $900 in your bank account but must withdraw $60
each week to pay for groceries. What is the maximum
number of weeks you can withdraw money and still have
enough to take your trip to the beach?
I need the inequality, inequality answer, final answer
Answer:
900 - 60n ≥ 450
n ≤ 7.5
Answer: 7 weeks
Step-by-step explanation:
Let n = numberof weeks.
In n weeks, you withdraw 60n from the account.
After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.
900 - 60n ≥ 450
-60n ≥ -450
n ≤ 7.5
Answer: 7 weeks
What is the answer to −6(x +2) − 2
Answer: hii <3
The Answer Is = −6x−14
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you
- Matthew :)
Answer:
[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]
Step-by-step explanation:
In order to solve this, you need to expand by the distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
[tex]\Longrightarrow: \sf{A(B-C)=AB-AC}[/tex]
-6(x+2)-2
Expand.
-6*x=-6x
-6*2=-12
Then, rewrite the expression down.
-6x-12
-6x-12-2
Subtract the numbers from left to right.
-12-2=-14
[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]
Therefore, the correct answer is -6x-14.I hope this helps. Let me know if you have any questions.
Good luck with your assignment!
A certain number is subtracted from 20.the result multiplied by 3 is equal to 45. What is the number?
A GIC pays 6% per annum. How long would it take $3000
to grow to $6000? (3 marks)
Answer:
180 weeks you have to convert the percentage to a decimal and multiple it to 3000
The product of two numbers is 26 and one of the numbers is one larger than six times the other number. find the numbers.
Answer:
(-13/6, -12)
&
(2, 13)
Step-by-step explanation:
x · y = 26 -------> x = 26/y
y = 1 + 6x
SUB for y
x(1 + 6x) = 26
x + 6x² = 26
SOLVE for x
6x² + x - 26 = 0
6x² + 13x - 12x - 26 = 0
6x(x - 2) 13(x - 2) = 0
(6x + 13)(x - 2) = 0
x = -13/6 or 2
Test x = -13/6 for both equations
Equation 1
-13/6 · y = 26
y = -156/13
y = -12
Equation 2
y = 1 + 6(-13/6)
y = 1 - 13
y = -12
-12 = -12 ✅
Test x = 2 for both equations
Equation 1
2 · y = 26
y = 26/2
y = 13
Equation 2
y = 1 + 6(2)
y = 1 + 12
y = 13
13 = 13 ✅
Hope this helps & God bless!
What is the value of z?
61°
310
to
25°
Lo
O
zº
N
Answer:
C 31
Step-by-step explanation:
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.
Bags A and B contain some counters.
The number of counters on each bag is the same.
Work out the value of y
Answer: y=3
Step-by-step explanation:
It is a linear equation6y+1=4y+76y-4y=7-12y=6y=6/2y=3Twenty less than thrice a number is 223
[tex]~~~~~~3x-20=223\\\\\implies 3x = 223+20\\\\\implies 3x = 243\\\\\implies x = \dfrac{243}{3}\\\\\implies x =81\\\\\text{The number is 81.}[/tex]
help on this assignment i get confused on this
Answer:
See below:
Step-by-step explanation:
Y intercept is 'short' for y-AXIS intercept...
the line intercepts the y axis at d = 7 blocks
the slope = change in y / change in x
- 5 / 1 = - 5 (using the points on the graph)
Please help me anyone?
Answer:
1/26
Step-by-step explanation:
There are 52 cards....four are 9's 4/52
six possible rolls three are even 3/6
4/52 * 3/6 = 1/26
Many weather conditions need to be met before a space shuttle can launch. The temperature must be greater than 35°F and less than 100°F, and the wind speed cannot exceed 30 knots. A system of inequalities can be used to show these three conditions. Write a system for the above constraints.
Answer:
Launch may not occur if the temperature is 35° F or colder.
would be your answer.
Step-by-step explanation:
The temperature cannot exceed 99° F for 30 consecutive minutes. Peak wind speed is 30 knots. When the wind direction is between 100 degrees and 260 degrees, the maximum wind speed may be as low as 24 knots.
-121-1,649°C.
9) 78% of what is 159 tons?
Answer:
78:159*100 =
(78*100):159 =
7800:159 = 49.06
Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?
HELPPPPPPPPPP
The value of the expression inside the parentheses must be equal to
Step-by-step explanation:
In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)
2.5(6-x) = 0
Open the bracket,
(2.5×6)-2.5x= 0
Collect like terms.
2.5x= 2.5×6
Divide both sides by the coefficient of x (2.5)
x = 6
So,
x= 6 is true.
.
Substituting 6 for x in the equation,
2.5(6-6)= 0
2.5•0 = 0
0= 0
Which is also true.
What is the gcf of 36 and 90
Can someone please help me really quick I need help
Check the picture below.
A dental hygienist might pay about $20,000 for education beyond high school and expect to earn about $70,000 per year. A veterinarian might pay about $153,000 for education beyond high school and expect to earn about $84,000 per year. Compare the total earnings minus the costs of education for the careers in 10 years. Which career would you choose if salary was the most important factor? Explain
Answer:
$150,000.
Step-by-step explanation: