Answer:
A: The solution to this system is no viable because it results in fractional values of tickets
Step-by-step explanation:
Let number of adult, child, and senior tickets be x, y and z respectively.
Thus;
x + y + z = 12 - - - (eq 1)
she purchases 4 more child tickets than senior tickets.
Thus, y = z + 4
Thus:
x + (z + 4) + z = 12
x + 2z + 4 = 12
x + 2z = 8 - - - (eq 2)
Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,
Thus;
5x + 2(z + 4) + 4z = 38
5x + 2z + 8 + 4z = 38
5x + 6z + 8 = 38
5x + 6z = 38 - 8
5x + 6z = 30
Divide through by 5 to get;
x + (6/5)z = 6 - - - (eq 3)
Subtract eq 2 from eq 1 to get;
2z - (6/5)z = 8 - 6
2z - (6/5)z = 2
Multiply through by 5 to get;
10z - 6z = 10
4z = 10
z = 2½
It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.
Problem is in pictures !
Answer:
its A my bro mark me brainleist please
Step-by-step explanation:
A concert charges $5 for a children's ticket and $11 for an adult’s ticket. One Saturday, the theater sold 1200 tickets for $10,800. How many children’ tickets and adults’ tickets were sold?
Answer:
i think 15 kid and 18 aduits
Step-by-step explanation:
Answer:
800 children’s ticket were sold and 400 adult tickets were sold
Step-by-step explanation: using elimination
variables-
amount of children’s ticket sold: C
amount of adult tickets sold: A
equations-
A+C=1200
5A+11C=10,800
solving-
(A+C=1200) -5 —> -5A-5C=-6000
5A+11C= 10,800
use elimination on those two equation and you get C=800, A=400.
to check you plug in the numbers into one of the equations, doesn’t matter which one.
The Micro Devices Company earned 3,632,859,678 dollars this year. 2,459,632,852 dollars were earned last year. Which is the best estimate of how many more dollars were earned this year than last year?
Answer:
$1,173,226,826
Step-by-step explanation:
The estimate of the increase in dollars earnings is the difference between this year's earnings and last year's earnings. In other words, the increase in earnings is the excess of current year's earnings over last year's earnings as computed below:
increase in earnings=this year's earnings-last year's earnings
this year's earnings=$3,632,859,678
last year's earnings=$2,459,632,852
increase in earnings=$3,632,859,678-$2,459,632,852
increase in earnings=$ 1,173,226,826
Hi again if you can help me with this question I would really appreciate it :)
A circle with area 64 cm2 has a
sector with a 45-degree
central angle.
The area of the sector is
cm2
9514 1404 393
Answer:
8 cm²
Step-by-step explanation:
A 45° sector is (45°)/(360°) = 1/8 of the circle, so its area is ...
(1/8)(64 cm²) = 8 cm² . . . . area of sector
Is this set of ordered pairs a function ?
(9,9) (7,4) (1,2) (2,6) (5,0)
Answer:
Yes
Step-by-step explanation:
Every x value has one y-value.
Answer:
yes
Step-by-step explanation:
yes it is because each of the x has a unique y
9 has 9
7 has 4
1 has 2
2 has 6
5 has 0
NOT TO
SCALE
Jo
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]
Answer:
455.1 cm²
Step-by-step explanation:
The two containers have the following;
Large container
Volume : 3456 cm³
Surface area : 1024 cm²
Small container
Volume : 1458 cm³
Surface area : ?
If the two containers are mathematically similar then first find the volume scale factor
Volume of large/ volume of small
3456/1024 = 3.375
Length scale factor will be cube root of volume scale factor
∛3.375 = 1.5
Area scale factor is a square of the length scale factor
=1.5² = 2.25
=Surface area of the small container will be :
Larger area = 2.25 * small area
1024 = 2.25 * small area
1024/2.25 = small area
Surface area of the smaller container 455.1 cm².
What is the solution set for this inequality -4x + 62 < -18
Answer:
x > 20
Step-by-step explanation:
-4x + 62 < -18
Add subtract 62 from both sides
-4x < -80
We can flip the sign and take away the negatives if both sides are negative.
4x > 80
Divide both sides by 4
x > 20
Please help me solve these problems, or as many as you can. I need them in step by step..
5. 36d¹⁰/6d⁵
6. [(4³)²]²
7. 5³•7⁵•10/5•7⁴
8. (2²)⁷
9. (8v⁹)⁵
Answer:
5. 36d¹⁰/6d⁵ = 6d⁵
6. [(4³)²]² = 4⁷
7. 5³•7⁵•10/5•7⁴ = 5²•7• 10
8. (2²)⁷ = 2⁹
9. (8v⁹)⁵ = 8⁵V¹⁴
Step-by-step explanation:
When solving questions having indices, we follow certain rules in Mathematics
a) a^b/a^c = a^b-c
b) (a^b)^c = a^b+ c
Hence:
5. 36d¹⁰/6d⁵ =
(36/6)^d^10-5 = 6d⁵
6. [(4³)²]²
= (4)^3 + 2+ 2 = 4⁷
7. 5³•7⁵•10/5•7⁴
= (5)^3-1 • (7) ^5-4• × 10
= 5²•7•10
8. (2²)⁷
= (2)^2 + 7
= 2⁹
9. (8v⁹)⁵
= 8⁵•v^9+5
= 8⁵v¹⁴
THIS IS URGENT, PLEASE ANSWER ASAP!
In an isosceles trapezoid, how do you prove the base angles are congruent?
Answer: Well there's a geometry definition stating that the two angles are equal.
But ig i can try to make a proof.
First make a perpendicular bisector from the vertex to the bottom splitting the bottom side in half.
Now because of LL theorem, and the reflexive property, the two triangles are equal.
Now using cpctc, the two angles are also equal.
Step-by-step explanation:
Answer:
here is your answer...hope it helps!
Is -17/-40 equal to 0.245
Answer:no
Step-by-step explanation:it will be 0.425
how to factor this completely?
25v3 - 40v2 + 35v – 56
Answer:
Factor 25v3−40v2+35v−56
25v3−40v2+35v−56
=(5v−8)(5v2+7)
Answer:
(5v−8)(5v2+7)
What category does the number negative 4 fall into 
Answer:
It falls in the integer category. The attached picture is a chart if you want to specify a number in a category.
Hope this helps :)
Can you help me
(1). If f(x)=|x−5|+3, find f(2).
11
6
4
0
(2). If f(x)=8−3|x+2|, find f(−6).
−16
−4
4
20
(3). What is the turning point of the graph of f(x)=|x−2|+3?
(2, −3)
(2, 3)
(−3, 2)
(3, 2)
(1).
f(x) = |x − 5| + 3
f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6
(2).
f(x) = 8 − 3|x + 2|
f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 − 12 = − 4
(3).
For f(x) = |x − h| + k the turning point is (h, k), so:
f(x) = |x − 2| + 3 ⇒ the turning point is: (2, 3)
The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
1) The function is,
⇒ f(x) = |x−5| + 3
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
3) The function is,
⇒ f(x) = |x−2| + 3
Now,
1) The function is,
⇒ f(x) = |x−5| + 3
Put x = 2;
⇒ f (2) = |2 - 5| + 3
⇒ f (2) = 3 + 3
⇒ f(2) = 6
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
Put x = - 6;
⇒ f (- 6) = 8 - 3 |- 6 + 2|
⇒ f (-6) = 8 - 3 × 4
⇒ f(-6) = 8 - 12
⇒ f (- 6) = - 4
3) The function is,
⇒ f(x) = |x−2| + 3
We know that;
Turning point of the function f (x) = |x - h| + k are (h, k)
So, By comparing we get;
The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).
Thus, The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
Learn more about the mathematical expression visit:
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what is 4.5+1.5k=18-3k
Answer: k = 3
Step-by-step explanation:
1
Combine multiplied terms into a single fraction
4
.
5
+
1
.
5
Answer:
Thr33
Step-by-step explanation:
3
Someone help me pls!!!!!!
Answer:B
Step-by-step explanation:
What integer value of n will satisfy n + 10 > 11 and -4n > -12?
Answer:
2
Step-by-step explanation:
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field
Answer:
As a fraction = [tex]\dfrac{30}{100}[/tex]
As a decimal = 0.3
Step-by-step explanation:
Recall that: The total yard of a football field = 100 yards
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,
As a fraction;
Tristan run can be represented as = number of run from goal-line/ total length of the field
= [tex]\dfrac{30}{100}[/tex]
As a decimal= 0.3
6 to the power of 2 equal ?
Answer:
36
Step-by-step explanation:
Whenever something is to the power of 2, just think of the number multiplied twice :) Hoped this helped.
Marco scored 20 points at the basketball game . If this is 40% of the total score, what was the total score for the basketball game ?
The total score for the basketball game was 50 points.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
Points scored by Marco in basketball game = 20
Also, points scored by Marco is 40% of the total score,
Implies that,
40% = 20
1 % = 20 / 40
To determine total score, find value of 100%,
100 % = (20 / 40) x 100
= 50
The total score for the basketball game was 50.
To know more about Percentage on:
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please help!! I'm going to fail!!
Answer:
3rd one
Step-by-step explanation:
look t the form x equals up to a diviser
My question is in the picture please give an explanation. Thanks!
6h+9 is greater than 51
Answer:
h > 7
Step-by-step explanation:
6h + 9 > 51
-9 -9
6h > 42
/6 /6
h > 7
Hope this helps!
Cuanto es 43x5-6 (dividido) 2=
George went on a trip to visit the Mariana Islands. He left at 5:30pm on Friday night stayed 3 night's and returned at 11:30am on Monday. how many hours was George gone?
A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.
Answer:
There is no diagram for our observation. Please refine your question next time.
Step-by-step explanation:
What is the equation of the function:(-1,3),(0,4),(2,6)
A) f(x)= x^2 +x -4
3=2-b solve this question please
Answer:
b=1
Step-by-step explanation:
Subtract 2 from both sides
b=1
Answer:
Step-by-step explanation:
3 = 2 - b
B + 3 = 2
b = 2 - 3 = - 1
delicious Bakery has a monthly budget of D dollars. Every month, it spends $3,080 on employee salaries. 1/4 of the remaining budget is spent on the ingredients. Which function can be used to find the amount, in dollars, spent on ingredients each month?
Answer:
yellow
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.
b. Does this situation represent exponential growth or decay? Explain how you know.
Answer:
a) y = 400(0.75) ^x
b) Exponential Decay
Step-by-step explanation:
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.
This situation above is an exponential decay situation.
The forms is given as
y = a(1 - r) ^x
Where
y = the total amount of ibuprofen
a = initial amount of ibuprofen = 400mg
r = Decay rate = 25%
x = Time in hours
Hence, the Equation is written as
y = 400(1 - 0.25) ^x
y = 400(0.75)^x
b. Does this situation represent exponential growth or decay? Explain how you know
This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.