Using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Translate the situation into algebraic equations.
Let y = Total cost x = number of sessionsEquation for total cost of the first plan:
y = 41x + 55
Equation for the total cost of the second plan:
y = 46x + 50
To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.
41x + 55 = 46x + 50
Combine like terms together41x - 46x = - 55 + 50
-5x = -5
x = 1
For a session, both plans will yield the same cost.
The cost 1 session will yield for both:
41x + 55 = 46x + 50
Plug in the value of x41(1) + 55 = 46(1) + 50
96 = 96
Therefore, using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
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The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.
Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?
The distance between points (a) and (b) is the number of units between the points.
Formula for halfway two
Assume the lesser point is point (a)
To locate the halfway between points (a) and (b)
Calculate the absolute difference between points (a) and (b) i.e. |a - b|Divide the difference into halvesAdd the value of one half to point (a).The above steps is represented as:
[tex]P = a + \frac{|a - b|}{2}[/tex]
Using the above formula, the halfway point between 5 and 11 would be 8
The formula can be used to calculate the distance between negative points, and absolute values are used to determine the number of units between the points
Real world circumstance
The formula can be used to calculate the halfway distance between two points on a track
Fractional distance
To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.
Take for instance, three-fourths from (a) to (b) would be:
[tex]P = a + \frac{3|a - b|}{4}[/tex]
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A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. X > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23.
Option C is correct.
Given to us:
female gazelles[tex](x)[/tex] can be maximum of 12 only. therefore,
Condition 1 is [tex]12\geq x>0[/tex].
while,
male gazelles[tex](y)[/tex] should be exactly 3 times more than females to thrive. therefore,
Condition 2 is [tex]36\geq y>0[/tex].
There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.
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Answer:
c is the answer
Step-by-step explanation:
it took the test and got it correct
Solve the following system: y = x 3 3x y = 19 (7, 4) (â’4, 7) (4, 7) (4, â’7).
The correct option is C. (4,7).
Given equations,
[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]
We have to solve the equations.
From equation 1 put the value of y in equation 2 we get,
[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]
Now putting the value of x in equation 1 we get,
[tex]y=4+3\\y=7[/tex]
Hence the required solution of the above equations is (4,7).
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help me plz i need help
Answer:
y-2.0
x-2.3
Step-by-step explanation:
hope it help
Answer:
x- intercept = - 1, y- intercept = - 1
Step-by-step explanation:
The x- intercept is the point on the x- axis where the line crosses
x- intercept = - 1
The y- intercept is the point on the y- axis where the line crosses
y- intercept = - 1
Definition of Variable and Constant with examples!
Spam free answers required!
Answer:
[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]
Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.
[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]
A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.
Please help! I forgot how to do it
How long is a bus journey that starts at 8.55 a.m. and ends at 9.17 a.m.?
Please can you put the answer in minutes?
Answer:
5+17=22 minute
Which of the following is a perfect square a) 1057 b) 625 c) 928 d) 64000
Answer:
625
Step-by-step explanation:
625 is the (perfect) square of 25. The other three numbers are not perfect squares.
b... 625
...............................
Find the circumference of a circle with a radius of 2.4 m
Answer:
15.07964
..................
not sure how many decimals you want lol, but here ya go:
15.07964474
for future reference you can plug radius (r) into
c = 2pi x r
to get the circumference :)
13x+y=1
2x+6y=6
HELP PLZ
Answer:
(0,1)
Step-by-step explanation:
solve the first equation for y. y=1-13x
plug this into the other equation and solve for x.
2x+6(1-13x)=6
2x+6-78x=6
-76x+6=6
subtract 6 from both sides
-76x=0
x=0
plug this into the other original equation.
13(0)+y=1
y=1
(0,1)
Can someone pls help me
Answer:
6π Km
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 9 × [tex]\frac{1}{3}[/tex]
= 18π × [tex]\frac{1}{3}[/tex]
= 6π Km ← exact value
Which of the x-values are solutions to the following inequality?
X < 365
Jae bought 85 tickets to spend on games and rides at an amusement park. Games cost 3 tickets each, and rides cost 8 tickets each. Jae has already used 39 of the tickets. If he uses all of his remaining tickets for rides, how many more times can Jae go on rides?
Answer:
15
Step-by-step explanation:
Jae can go 15 more times on the rides.
Answer:
Jae can ride 5.75 or 5 more times
Step-by-step explanation:
Total of tickets, Jae buys 85
Jae uses (-) 39 tickets
85 - 39 = 46 remaining tickets
Rides: 8 tickets each
46/8 = 5.75
I hope this helps.
Each batch of 24 cookies needs 2.25 cups of flour. If Stacy and her mom bake 3.5 batches, how much flour is
needed?
Show work !
Answer:
7 7/8 cups of flour
Step-by-step explanation:
2.25 times 3.5 equals 7.875
What is the equation of the line that passes through the point (16,-7) and has a slope of m=-3/4 written in point-slope form?
Answer:
y+7=-3/4(x-16)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-3/4(x-16)
y+7=-3/4(x-16)
Please mark me as Brainliest if you're satisfied with the answer.
pls answer quickly
This Histogram shows the heights in inches of members of a middle school volleyball team. How many members are between 50 and 70 inches tall?
A. 12
B. 10
C. 6
D. 4
Answer:
I need the photo
Step-by-step explanation:
I need the photo
Marcus is it mixing blue and yellow paint in the ratio of 2 to 3 to make green paint. He wants to make 45 L of green paint. Him being to make a table to help him think about the problem but is unsure of what to do next. Marks find Amandas also mixing paint she wants to make purple paint by mixing 2 cups of blue with a4 cups are red paint. Amanda makes her pain in his left with 48 cups of purple paint how many more cups of purple paint did she use than blue paint? If Amanda has 15 cups of blue paint how many cups repair does she need? Amanda wants her purple paint mixture from part bead to be a little lighter so she mixes in two more cups of white paint what is the ratio of blue paint to repaint the white paint that she used?
This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.
Given:
Mark was mixing blue and yellow paint ratio of 2:3.
He wants to make 45 liters of green paint.
According to the question,
Blue : Yellow = Green
2 : 3 : 2+3 (Given)
2 : 3 : 5
Therefore, he wants to make 45 liters of green paint.
So, 5 parts = 45 liters
Now, calculating for each part.
We get,
Each part = 45÷ 5 = 9 liters
Now for 2 parts = 9 x 2 = 18 liters
And, for 3 parts = 9 x 3 = 27 liters
Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.Omar drew a line that was 12 centimeters long. Which line is 5 centimeters shorter
Answer:
12 - 5 is 7 so the line would be 7 centimeters
Step-by-step explanation:
Answer:
the answer is 7
Step-by-step explanation:
12-5=7
Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).
Answer:
y = 3x + 4
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )
m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = 3x + 4 ← equation of line
Fill in the blank for this graph.
Answer:
2.22
Step-by-step explanation:
Help me with answer plzzzzz
Answer:
a
Step-by-step explanation:
pls help. will give brainliest :)
Answer:
its option B
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15
Answer:
c) 36√15 cm³
Step-by-step explanation:
We can compute the volume of the pyramid if we know the area of its base, and its height.
__
A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...
A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base
__
Each triangular face will have a slant height that makes its area the same as that of the base.
A = 1/2bh
36 cm² = (1/2)(6 cm)h
(36 cm²)/(3 cm) = h = 12 cm . . . . . divide by the coefficient of h
The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...
(6 cm/2)² +h² = (12 cm)²
h² = (144 -9) cm²
h = 3√15 cm . . . . . height of the pyramid
__
The volume of the pyramid is given by ...
V = 1/3Bh . . . . . . base area B, height h
Using the values we found above, we compute the volume to be ...
V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³
Jim’s backyard is rectangular with dimensions of 80 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 3/4. How much fencing will he need if he wants to enclose the garden on all four sides?
How many feet does he need?
100 POINTS PLEASE HELP ME I BEG 100 POINTS
Answer:
see explanation
Step-by-step explanation:
(1)
Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then
∠ E = [tex]\frac{180-106}{2}[/tex] = [tex]\frac{74}{2}[/tex] = 37°
(2)
Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then
12y = 60 ( divide both sides by 12 )
y = 5
(3)
The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then
KL = JL , that is
4t - 8 = 2t + 1 ( subtract 2t from both sides )
2t - 8 = 1 ( add 8 to both sides )
2t = 9 ( divide both sides by 2 )
t = 4.5
(4)
Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is
AB = AC
4x + 1 = 9 ( subtract 1 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9
= 6x + 13
= 6(2) + 13
= 12 + 13
= 25
Answer:
full
Step-by-step explanation:
screen
which is a line of symmetry
Answer:
is there a pic?
Step-by-step explanation:
we are able to see
A shopkeeper bought 2 mobile set for 5000 each . If he sold a mobile with 20% profit and 20% loss . How much percent profit or loss did he have?
Answer: NO GAIN for the shopkeeper
Step-by-step explanation:
20/100 *5000=1000
£42 is shared equally between 3 friends.
How much does each friend get?
Given that £ 42 is distributed among 3 friends.
So, each will get
[tex] = 42 \div 3 \\ = £14[/tex]There are 100 students in the sixth grade. The ratio of boys to girls is 2:3. How many more girls than boys are in the sixth grade?
Answer: I Think you will make 100 time 2 divide 3
Step-by-step explanation:
i'm not sure, have a nice day
Write and solve an equation for the following:
Answer:
x = 12
Step-by-step explanation:
The measures of ∠XYW and ∠WYZ would equal m∠XYZ.
[tex]3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}[/tex]
Hope this helps.
