Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
ordered pairs on a vertical line have the same y coordinate. true, sometimes true or not true?
Lia has 72 green grapes that are shared equally between 8 of her friends. Darrel adds 41 green grapes to his share. How many grapes does Darrel have in all
Darrel has 50 grapes in all.
Lia has 72 green grapes, and she shares them equally between 8 friends. To find out how many grapes each friend receives, divide the total number of grapes by the number of friends:
Number of grapes each friend receives = 72 / 8 = 9
Now, Darrel adds 41 green grapes to his share, so the total number of grapes he has is:
Total grapes for Darrel = Number of grapes Darrel received initially + Additional grapes added by Darrel
Total grapes for Darrel = 9 + 41 = 50
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A line has a slope of 1.25 and passes through the point (0, -3). What is the equation of line?
Answer:
y = 1.25x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1.25 and (0, - 3 ) ⇒ c = - 3
y = 1.25x - 3 ← equation of line
A square tile has a side length of 12 cm. What is the area of the tile?
48 square centimeters
72 square centimeters
24 square centimeters
144 square centimeters
Answer:
144 cm²
Step-by-step explanation:
Remember: If you are finding the area of a square and are given a side, you can simply square it and it will be the area. Thus:
12 x 12 cm = Area of tile.
=> 144 cm² = Area of tile.
Therefore, 144 cm² is the area.
Hoped this helped.
. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?
AND EXPLAIN THE STEPS
Answer:
Smaller angle : 30 degrees
Bigger Angle : 65 degrees
Step-by-step explanation:
85+6x+13x=180, 85+19x=180,19x=95,x=5
Smaller angle : 30
Bigger Angle : 65
4y=12 and 4y=2x
So:2x=
Answer:12
Step-by-step explanation:
if 4y=12
then y=3
4y=2x
then as 4y=12 then 2x=12
Answer: 2x=12
Step-by-step explanation:
so if 4y=2x we know that 2x is also equal to 12
2x=12
The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.
Answer:
-9?????????????????????????
Step-by-step explanation:
pls help very confusing
Step-by-step explanation:
option D is correct.
hope this answer helps you dear! take care
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The additional information to prove the Triangles congruent is ~
[tex] \bar{AC} \cong\bar{ DF}[/tex]The Triangles are congruent by SAS congruency criteria ~
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
13 ≈ 10 miles
Step-by-step explanation:
Have a nice day
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]
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-2k-4k=-18
i need help asapp
Answer: k = 3
-2k - 4k = -18
-2k - 4k = -18
-6k = -18
k = -18/-6
k = 3
Would appreciate brainly <3
Answer:
k = 3Step-by-step explanation:
Given,To find the value of kEquation:-2k - 4k = -18Solution:=> -2k - 4k = -18
(On adding like terms -2k and -4k)=> -6k = -18
(As -6 multiplied with k in this side, on other side it will divide -18)[tex] = > k = \frac{ - 18}{ - 6} [/tex]
(On Simplification)=> k = 3 (Ans)
What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x
hope this help
pls mark as brainliest
gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.
Step-by-step explanation:
According to the given we have following inequalities:
x + y ≤ 220y ≥ 4xSee the graph attached below.
Solution region is within the triangle with marked vertices.
Megan rolls a ball down a ramp until the ball hits the wall.
Identify an equation in point-slope form for the line parallel to y-x-4 that
passes through (-1, 7).
O A y-7 - (x+1)
O B. y+1-(x-7)
O C. -?.5(x+1
O cy 7
y-
O D. yt? (x-1)
SUBMIT
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here (a, b ) = (- 1, 7 ) , then
y - 7 = [tex]\frac{3}{4}[/tex] (x - (- 1) ) , that is
y - 7 = [tex]\frac{3}{4}[/tex] (x + 1) → A
i) Factorise x^2 - x - 20
[tex](x + 4)(x - 5)[/tex]
hope it helps#carryonlearning
see the attachment for the explanation
[tex]if \: \sqrt{2} + \sqrt{3} \div 3 \sqrt{2} - 2 \sqrt{3} = x + \sqrt{6y} \: find \: the \: value \: of \: x \: and \: y[/tex]
Given info:- [tex]\textsf{If (√3+√2)/(3√2-2√3) = x+y√6,} [/tex]
[tex]\textsf{then find the value of x and y?}[/tex]
Explanation:-
[tex]\textsf{Consider LHS=}\\[/tex]
[tex] \rm \: \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ [/tex]
[tex] \rm \: = \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ [/tex]
[tex] = \rm \: \frac{( \sqrt{2 } + \sqrt{3} )(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} - 2 \sqrt{3})(3 \sqrt{2} + 2 \sqrt{3}) } \\ [/tex]
[tex] \rm \: = \frac{3 \sqrt{2 \times 2} + 2 \sqrt{3 \times 2} + 3 \sqrt{2 \times 3} + 2 \sqrt{3 \times 3} }{(3 \sqrt{2} {)}^{2} - (2 \sqrt{3} {)}^{2} } \\ [/tex]
[tex] \rm = \frac{3 \times 2 + 2 \sqrt{6} + 3 \sqrt{6} + 2 \times 3}{18 - 12} \\ [/tex]
[tex] \rm \: = \frac{12 + 5 \sqrt{6} }{6} \\ [/tex]
[tex] \rm \: = 2 + \frac{5}{6} \sqrt{6} \\ [/tex]
[tex] \rm \therefore \: 2 + \frac{5}{6} \sqrt{6} = x + y \sqrt{6} \\ [/tex]
[tex]\textsf{On, comparing with RHS we notice that:}\\[/tex]
[tex]\textsf{the value of x = 2 and y = 5/6.}\\[/tex]
[tex]\bf{Read more:}[/tex]
[tex]\textsf{Similar questions}\\[/tex]
[tex] \sqrt{6} + \sqrt{11} \div \sqrt{5} + \sqrt{3} [/tex] A. [tex] \sqrt{30} + 3 \sqrt{2} + \sqrt{55} + \sqrt{33} \div 8[/tex] B. [tex] \sqrt{30} - 3 \sqrt{2} ...
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Which inequality is represented by the graph?
Answer:
y < -3/2x + 1
Step-by-step explanation:
Points (-2,4) and (2, -2) are on the graph.
The graph crosses the y-axis at 1 so the y-intercept is 1
Slope = (change in the y-value)/(change in the x-value.
Slope = (-2 - 4)/ [2 - (- 2)]
Slope = -6/4
Slope = -3/2
The equation of the line : y = -3/2x + 1
Now the graph is dotted and it is shaded down.
Therefore the inequality is y < -3/2x + 1
2x+1+4x+7+5x-1+4x-18+7x-39
Answer: x=2
Step-by-step explanation:
Explain what someone has to do to get a good credit rating.
Answer:
The key to developing a great credit score is not a formula, but there are certain general recommendations that may be followed. Make on-time payments on your debts on a consistent basis. One strategy to ensure that your payments are made on time is to set up automated payments or electronic reminders for your accounts. If you've fallen behind on your payments, get up to date and remain up to date.
Step-by-step explanation:
Hope it helps if this is what you mean;)
Find the range of the graphed function.
- 10
10
-10
O A. yis all real numbers.
B. y: 0
OC. -6 sys 9
OD. -10 sys
Answer:
The answer is C
Step-by-step explanation:
The range of the function plotted on the graph is [-6, 9].
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the graph of a function shown in the image.
Range of a function is the set of {y} - values that exist for the values in the domain of the function. We can see from the graph that the values of {y} range from {y} = - 6 to {y} = 9 over the entire domain. See the black dots, that black dots mean that the both the numbers -6 and 9 are included in the range. So, in the set form, we can write the range of the function as -Range : [-6, 9].
Therefore, the range of the function plotted on the graph is [-6, 9].
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3 feet in 4 mintes
A.______________
B.______________ per 16 minutes
Answer:
B. 12 per 16 minutes
Step-by-step explanation:
4x4=16, so multiply 3×4 to get 12.
Find x-intercept and y - intercepts of y = 6x – 1
Answer:
Look at photo
Step-by-step explanation:
Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline
Answer:
wedge
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppp
Answer:
£120
Step-by-step explanation:
original_price = discounted_price / (1 - discount / 100)
78/(1-35/100)=120
1. Order each set of numbers from least to greatest.
a) 23 405, 23 100, 680 155, 680 056, 607 463
b) 320 376, 409 217, 317 758, 329 000, 320 768
Does anyone know this ??
Answer:
I believe that its C, but don't get mad at me if I get it wrong
Find the side length of the triangle.
Answer:
a=12
Step-by-step explanation:
brainlest if this helped so much !
Answer:
Its A. 12
Step-by-step explanation:
Hope this helps!
what is the term to term rule of the sequence in 5, 10, 20, 40, 80
Answer:In each step the number is double that of the previous step.
Step-by-step explanation:
In each step the number is double that of the previous step.
0 5
1 10
2 20
3 40
4 80
This can be written as 5*(2)^n, where n is the step number. e;g;, 5*2^0 = 5 for step 0. For step 4: 5*2^4 = 80.
a. Why does the provided equation support the fact that there is a horizontal asymptote of F(x) that is not
on the x-axis?
(ax-3)(x-2)divide2(x+3)(x-2)
Y=-2 is a horizontal asymptote
Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
The function is given by:
[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
The horizontal asymptote is the limit of the function as x goes to infinity, hence:
[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
Considering only the terms with the highest exponents:
[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]
Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
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fully simplify 124:72:48
Answer:
31:18:12
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