The scale for a map says that 1 cm is equal to 25 miles. Jennifer measures the distance between two cities as 4.5 cm. How far apart are the cities?
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technically 4.5x25=112.5
therefore 4.5cm = (4.5 x 25)miles
Answer = 112.5 miles
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An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below:b = k + 10 b = −k + 8 Which is a correct step to find k and b? Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis. Add the equations to eliminate k. Multiply the equations to eliminate b.
Help ASAP please need the answer!The map of a walking trail is drawn on a coordinate grid with three points of interest. The trail starts at R(−1, 4) and goes to S(5, 4) and continues to T(5, −2). The total length of the walking trail is ____ units. (Input whole numbers only.) Numerical Answers Expected! Answer for Blank 1:
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50$*80 = 4000
4000 divided by 100 = 40$
hope this helps!
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so this will be the answer 8(4)/12(4)=2/3
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4 buses * x + 8 students = 220 students
4 * x + 8 = 220
4 * x = 220 - 8
4 * x = 212 /4
x = 212 / 4
x = 53
53 students were in each bus.
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Answer: It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.
Step-by-step explanation:
Let us consider the general linear equation
Y = MX + C
On a coordinate plane, a line goes through points (0, negative 1) and (2, 0).
Slope = ( 0 - -1)/( 2- 0) = 1/2
When x = 0, Y = -1
Substitutes both into general linear equation
-1 = 1/2(0) + C
C = -1
The equations for the coordinate is therefore
Y = 1/2X - 1
Let's check the equations one after the other
y = negative one-half x minus 1
Y = -1/2X - 1
y = negative one-half x + 1
Y = -1/2X + 1
y = one-half x minus 1
Y = 1/2X - 1
y = one-half x + 1
Y = 1/2X + 1
It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.
Final answer:
Jeremy's claim that if a linear function has the same steepness (slope) and the same y-intercept, it must be the same function is not correct. A counterexample is y = negative one-half x + 1, which has the same steepness and y-intercept but is a different function.
Explanation:
The line going through points (0, negative 1) and (2, 0) can be expressed in slope-intercept form (y = mx + b) where the slope m can be calculated as (y2-y1)/(x2-x1) and the y-intercept b is the y-value when x=0. For this line, we have m = (0 - (-1))/(2-0) = 1/2 and b = -1. Hence, the equation for this line is y = one-half x - 1.
However, we can prove Jeremy's claim wrong with a counterexample. Even if a function has the same slope and y-intercept, it doesn't necessarily mean they represent the same function. A counterexample is y = negative one-half x + 1. This line has the same steepness (slope -1/2) but a different direction (its slope is negative, unlike the other line), and the same y-intercept (y=1 when x=0) but it's not the same function.
Learn more about Linear functions here:
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Rita = 117 cm tall
117 cm + 30 = 147 cm
Jan is 147 cm tall.
p = (0.08)6
6 = (0.08)w
8 = (0.06)w
6 = (0.8)w
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Six —> 6
is —> =
8% of —> 0.08 *
“what number” —> some variable
So
6 = 0.08 * (some variable), or the second one.