Answer:
Proved below!
Step-by-step explanation:
Start by multiplying both sides by 2 (as said in the question):
[tex]\implies 4c + 10a = 388[/tex]
[tex]\implies 2(4c + 10a) = 2(388)[/tex]
[tex]\implies 8c + 20a = 776[/tex]
Substitute the solution(s) in the equation:
[tex]\implies 8(52) + 20(18) = 776[/tex] (c = 52; a = 18)
[tex]\implies 416 + 360 = 776[/tex]
[tex]\implies \bold{776 = 776 \ \ \ (Proved)}[/tex]
Answer:
Let c = number of children's tickets sold
Let a = number of adults tickets sold
Given:
Cost of child ticket = $4Cost of adult ticket = $10Total ticket sales = $388⇒ 4c + 10a = 388
Multiply both sides of the equation by 2:
⇒ 2(4c + 10a) = 2 × 388
⇒ 8c + 20a = 776
If c = 52 and a = 18, substitute these values into the equation and solve:
⇒ 8(52) + 20(18)
⇒ 416 + 260
⇒ 776
As 776 = 776, this proves that c = 52 and a = 18 is a solution to this equation.
A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.
What is the length of each side of the garden?
3 meters
6 meters
9 meters
27 meters
Answer: 9 meters
Step-by-step explanation:
Let's list what we know
The garden is in the shape of a triangle
The perimeter of the garden is 27 meters
Each side is the same length
The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides
Since all the sides are the same length we can divide 27 by 3 to find the length of each side
27/3=9
f the last 18 trains to pull into Castroville Station, 12 were full. Considering this data, how many of the next 12 trains would you expect to be full?
Answer:
8
Step-by-step explanation:
first multiple 12 by 12 then divide by 18 then you'll get 2 times 4 and that's how you get 8.
A ball is hit from the ground. When that ball has traveled a horizontal distance of d meters, its height, h, in meters, can be modeled by the function (d) =-1/1125d2+d.
what is the horizontal distance from the point where the ball is hit to the point whitch ball lands on the ground.
Answer:
I'll assume the equation is h(d) = -(1/1125)d^2 + d
Please check, the (1/1125) term is disturbing.
Step-by-step explanation:
When the ball hits the ground, the height, h(d) is 0. We want the value of d, the distance the ball has travelled horizontally, that would give the function a value of 0.
h(d) = -(1/1125)d^2 + d
0 = -(1/1125)d^2 + d
(1/1125)d^2 - d = 0
Solve using the quadratic equation: I get 0 and - 1125 seconds. I conclude that the factor (1/1125) is incorrect, or some other error in the equation.
The horizontal distance from the point where the ball is hit to the point at which the ball lands on the ground is 1125.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
When the ball hits the ground, the height, h(d) is 0. We need to find the value of d, the distance the ball has traveled horizontally, which would give the function a value of 0.
Solve using the quadratic equation
h(d) = -(1/1125)d^2 + d
0 = -(1/1125)d^2 + d
(1/1125)d^2 - d = 0
(1/1125)d^2 = d
d = 1125
Thus, the horizontal distance from the point where the ball is hit to the point at which the ball lands on the ground is 1125.
Learn more about quadratic equations;
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Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.
There is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6 option fourth is correct.
It is given that the function [tex]\rm f(x) = -0.5|2x+2|+1[/tex]
It is required to find the values of x when f(x) = 6
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm f(x) = -0.5|2x+2|+1[/tex]
And f(x) = 6
Putting the value of f(x) in the above equation, we get:
[tex]\rm 6 = -0.5|2x+2|+1[/tex] or
[tex]\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10[/tex]
Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'
Thus, there is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6.
Learn more about the function here:
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6. A line passes through the points (-2,5) and (6,9). Calculate the gradient of this line.
Answer:
d 2.5 line is 6.9 which is 9.4
Step-by-step explanation:
because
true or false and explain or show your reasoning
10-⁵=-10⁵
(10²)-³=(10²)³
10³/10¹⁴=10-¹¹
Answer:
a. False : because 10^-5= 1/10^5 where as -10^5=-1 × 10^5
therefore 1/10^5 not equal to -1×10^5
b. False : because (10^2)^-3 = 100^-3=1/100^3 where as (10^2)^3 = 100^3=1000000 there fore 1/100^3 not equal to 1000000
c. True : because 10^3/10^14=10^(3-14)=10^-11 therefore both left side and right side of the equation are equal
help please must be a really quick answer but right!
Answer:
240 ft^2
Step-by-step explanation:
10*18=180
20*6=120
120/2 = 60
180+60=240
(ii) Express 1800 cm: 20 m in its simplest form.
HELPP
1800 cm: 20 m in its simplest form is 9cm : 10 cm
What is ratio?Ratio says how much of one thing there is compared to another thing. Ratio compares value.
Therefore, let's make the unit the same.
0.01 m = 1 cm
20m =
length = 20 / 0.01
length = 2000 cm
Therefore, the ratio is as follows:
1800 cm : 2000 cm
Let's write it in it simplest form.
1800 / 2000 = 9 / 10
Therefore, the simplest form is 9 cm : 10 cm
learn more on ratio here: https://brainly.com/question/859009
What is the mode for the following set of data?
5, 7, 8, 10, 12, 12
10
9
7
12
Answer:
I think it would be 10
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.
-12p+3p×2
please show me all the workings
I understand I need help on this.
Answer:
A. 168 units³
Step-by-step explanation:
volume = area of bas × height
volume = (6)(7)/2 × 8
volume = 168 units³
Hunter wants to make money over the summer by selling lemonade. he has $50 in savings. he spends $20 on a pitcher and reusable cups. doing the math, he realizes that sugar, lemons, and water will cost $.75 per serving. what is the greatest number of cups that can be made before hunter runs out of his budget?
Hunter can make a total of 40 cups before he runs out of budget.
How much money does Hunter have to make lemonade?We know his total budget was $50 but he already spent $20 on a pitcher and cups.
$50 - $20 = $30This means the total of money just for the lemonade is $30.
How many lemonade cups can he make?To find this number divide the budget for lemonade by the cost of a lemonade cup $0.75.
$30 / $0.75 = 40Based on this, the total of cups he can make is 40 cups.
Learn more about budget in: https://brainly.com/question/15712390
tthx for the help can you answer this question
Answer:
A = 41
B = 31
Step-by-step explanation:
angles in a triangle add up to 180 degrees
the three angles in this triangle: 108, x+5, x-5
added up, we get
108 + (x+5) + (x - 5) = 180
= 108 + 2x + 5 - 5
= 108 + 2x
subtract 108 from both sides to isolate the variable and its coefficient
72 = 2x
divide both sides by 2 to solve for x
x = 36
A = x + 5 = 36 + 5 = 41
B = x - 5 = 36 - 5 = 31
Which is an equivalent fraction for
?
A
12\frac{1}{2}
2
1
B
26\frac{2}{6}
6
2
C
46\frac{4}{6}
6
4
D
32\frac{3}{2}
2
3
Answer:
I believe the answer is C
Step-by-step explanation:
the diagram represents the unit rate of making copies on a copy machine. Which table represents the rate of making copies on this copy machine?
The unit rate is the amount of book copy made in a second
The table that represents the unit rate is table (b)
How to determine the table?The interpretation of the diagram for making copies is:
Rate = 4 copies per second
This means that:
The table that represents this diagram must have a slope or rate of 4
From the list of options, the table (b) has a slope of 4.
This is calculated as:
Slope = Copies/Time
So, we have:
Slope = 40/10 = 4
Hence, the table that represents the unit rate is table (b)
Read more about unit rates at:
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(I WILL GIVE BRAINILEST AND 35 POINTS!)Calculate the Volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube
Answer: the answer is “B”
Step-by-step explanation: answer is LETTER B
Is the following number rational or irrational?
200
Choose 1 answer:
A
Rational
В B
Irrational
Answer:
A Rational
Step-by-step explanation:
Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.
What is the area of the following circle?
Answer:
34.54
Step-by-step explanation:
you do 2 * 3.14 * 5.
to find the area 2pie r the 3.14 comes from the directions, the 2 comes from the circle because the full length of the circle is 10 but you divide by 2 to get 5 and the 5 also comes from the circle and that is the radius.
IMAGE BELOW I WIL GIVE BRANLIEST
Answer:
The scale factor is 2.
Step-by-step explanation:
From the coordiante plane, we can see that:
Point H(4) has been expanded to 4 {4 · 2 = 8}
Point G(1) has been expanded to 2 {1 · 2 = 2}
Point I(-2) has been expanded to -4 {-2 · 2 = -4}
hope this helps!
original price of television is $729 , 18%of the original price , 6% tax applied after discount
Answer:
139.0932
Step-by-step explanation:
729×18%×(1+6%)
729x0.18x(1+0.06)
729x0.18x1.06
139.0932
What is the volume of this right prism? 1200 in³ 1800 in³ 2040 in³ 3600 in³ Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.
Please help asap!!!
Volume of right prism is 1800 in³, So option 'B' is the correct answer to the following question.
Volume of right prismWhat information do we have?
Height of the prism is labeled = 15 in.
Base of the prism is a triangle with the base = 30 in
Height labeled = 8 in
Volume of right prism = Area of base triangle × Height
Volume of right prism = (1/2)(b)(h) × Height
Volume of right prism = (1/2)(30)(8) × 15
Volume of right prism = (30)(4) × 15
Volume of right prism = 120 × 15
Volume of right prism = 1800 in³
Find more information about 'Prism'.
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Answer:
The answer is B. 1800 [tex]in^{3}[/tex]
Step-by-step explanation:
I took the test
Math tangent of a circle Also sorry my sister got a hold of it
ASAP!!!
Imagine we drew a line from the centre (2,0) to the point (0,4).
Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.
The slope of that line from the centre to the point is -2 based on the slope's equation or formula.
slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]
Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.
By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.
[tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]
Hope that helps!
After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. Part A. How much is the tax?
Answer:
$3.40
Step-by-step explanation:
Look at image above...
True or false if you took a true of them statement inserted a not in each clause and reversed the clauses the new statement would also be true
Answer:
true
Step-by-step explanation:
What is c in this ixl
Answer:
11
Step-by-step explanation:
the area of a triangle is bc/2
b = 8.8
c = ?
area = 48.4
48.4 = 8.8c/2
96.8 = 8.8c
c = 11
Please mark as brainliest!
11
Step-by-step explanation:
[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please
Are all relations functions
Answer:
no
Step-by-step explanation:
well
it's because in function one element of first is only associated with one element of second set
but in relation one element of first set may be associated with many elements of set second
(1) In the adjacent figure, congruent sides of ABCD are shown by identical marks. State if there are any pairs of congruent angles in the figure. A
Remove Congruent pairs too
Answer:
Step-by-step explanation:
WILL GET BRAINLIEST!!!!!!
Answer:
d=8
e=11.31
Step-by-step explanation:
side8 and side(d) are the same length
8squared+8squared=128
[tex]\sqrt{128}[/tex]=11.31
hope this helps!
Answer:
d = 8 and e = 8√2 ( e = 11.31 do the nearest hundredth)
Step-by-step explanation:
This is a 45-45-90 triangle so the sides are in the ratio 1:1:√2
So d = 8
and
e = 8√2.
Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviation of the heights for each team.
Which statements are correct?
Select each correct answer.
The heights of the Warriors’ players vary more than do the Panthers’ heights.
The heights of the Buffaloes’ players and those of the Panthers vary about the same amount.
The heights of the Panthers’ players and those of the Warriors vary about the same amount.
The heights of the Buffaloes’ players vary more than do the Warriors’ heights.
Team Mean height (cm) MAD (cm)
Buffaloes 163 7.9
Panthers 179 8.1
Warriors 178 5.8
Answer:
1 and 3
Step-by-step explanation:
Answer:
The heights of the buffaloes’ players vary more than do the warriors’ heights.
The heights of the buffaloes’ players and those of the panthers vary about the same.
Step-by-step explanation:
credit to km1329 in a comment
i don't understand this at alllll :(
Answer:
300
Step-by-step explanation:
volume of rectangle formula:
HEIGHT*WIDTH*LENGHT*
12*10(1/2)*20(1/4= 300
Answer:
2551.5in³
Step-by-step explanation:
this is easy if you know the formula.
volume = l*w*h
= 20.25*10.5*12= 2551.5in³