Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket
Answer: adult = $11
Child = $8.5
Step-by-step explanation:
Let the cost of an adult ticket be a
Let the cost of child ticket be c.
From the question,
3a + 4c = $67 ....... i
5a + 6c = $106 ...... ii
Multiply equation I by 5
Multiply equation ii by 3
15a + 20c = $335
- 15a + 18c = $318
2c = $17
C = $17/2 = $8.5
Put the value of c into
3a + 4c = $67
3a + 4($8.5) = $67
3a + $34 = $67
3a = $67 - $34
3a = $33
a = $11
Cost of adult ticket = $11
cost of child ticket = $8.5
What is the dollar value of 10 pennies and 9 nickels? What is the dollar value
of p pennies and n nickels?
What on that be $1
Step-by-step explanation:
because when you add 10 pennies and 9 nickel it will give you one dollars hope it helps ♥️♥️♥️
Answer: dollar value is 55 cents
Step-by-step explanation: Common Sense
Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
Which design would give Shanika what she wants?
A. a circular piece of cloth with radius of 90 cm
B. a circular piece of cloth with radius of 110 cm
C. a circular piece of cloth with radius of 100 cm
D. a circular piece of cloth with radius of 130 cm
The answer is definatly NOT D. I think that the answer is A.
The design that should give Shanika what she wants is the radius of 90 cm.
Calculation of the design:Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
So, the radius is
= 40 + 60 - 10
= 90 cm
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The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?
Select all of the zeros of the function f(s) = (5x - 7)(x + 3)
Answer:
Step-by-step explanation:
Lila thought of a whole number and added the next whole number to it. What was the original number she thought of if the sum was 22?
Answer:
10Step-by-step explanation:
Let the original whole number be x and the next whole number be x+2
If Lila added both number and the sum was 22, then:
x + (x+2) = 22
x+x+2 = 22
2x +2 = 22
2x = 22-2
2x = 20
divide both sides by 2
2x/2 = 20/2
x = 10
Hence the original number she thought of was 10
What is the slope of the graph of 5x – 2y = 20? a.) -10
b.)-2/5
c.)5/2
d.) 5
Answer:
The slope of the graph is 5 / 2
To determine the slope of the graph of [tex]5x-2y=20[/tex] is equal to: C. [tex]\frac{5}{2}[/tex]
Given the following equation:
[tex]5x-2y=20[/tex]To determine the slope of the graph:
The standard form of an equation of line is given by the formula;
[tex]y=mx+b[/tex] ....equation 1.
Where:
x and y are the points.m is the slope.b is the intercept.[tex]5x-2y=20\\\\2y = 5x-20\\\\y = \frac{5}{2} x -10[/tex] ....equation 2
Comparing eqn. 1 and eqn. 2, w have:
Slope, m = [tex]\frac{5}{2}[/tex]
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Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?
Given:
Jack's plan charges a fee of $24 plus $0.08 per minute he talks.
Jill's plan charges a fee of $10 plus $0.15 per minute she talks.
To find:
The equation which is used to determine when Jack and Jill's plans will be the same.
Solution:
Let t be time in minutes.
Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is
[tex]f(t)=24+0.08t[/tex]
Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is
[tex]g(t)=10+0.15t[/tex]
Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].
[tex]24+0.08t=10+0.15t[/tex]
Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].
It’s a written I just took the test
Um... is there a question?
For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. (2 points) a The vertex is (-2, 4), the domain is all real numbers, and the range is y ≥ 4. b The vertex is (-2, 4), the domain is all real numbers, and the range is y ≤ 4. c The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.
Answer: The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.
Step-by-step explanation:
Answer: The correct answer is D (The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.)
Step-by-step explanation:
simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does he have left?
Answer:
7/10
Step-by-step explanation:
1/5=6
10%=3
30-6-3
21
21/30=7/10
can someone help me x -y =1
and can yall explain how you solved it
Answer:
x = 1 + y
Step-by-step explanation:
add y to both sides, and that is basically it
Given f(x)=3x+7 and g(x)=5x-4 answer the following g(2)
Answer:
6
Step-by-step explanation:
They are asking you to plug in 2 for the g(x) equation
5(2)-4=6
WILL GIVE BRAINLIEST!!!!!!
Write a paragraph explaining the development and impact of the Atlantic slave trade on West Africa
Answer:
this isn't a social studies stream
ask the question again but in a social studies thingy
Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50
The solution is Option C.
The incorrect rounding of the number 53.864 is 53.87
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Non-zero digits are always significant
Zeros between non-zero digits are always significant
Leading zeros are never significant
Trailing zeros are only significant if the number contains a decimal point
Given data ,
Let the number be represented as A
Now , the value of A is
A = 53.864
Now , on rounding the number A to the nearest , we get
Step 1 :
If we round the number to the nearest integer, the number is 54
Step 2 :
If we round the number to the nearest tenth, the number is 53.9
Step 3 :
If we round the number to the nearest hundredth, the number is 53.86
So , the number 53.87 is not true
Step 4 :
If we round to the nearest tens, the number is 50
Hence , the only incorrect rounding is 53.87
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parallel to y = 1/2x+3 and through the point (4,5)
The difference between four times a number and six is -46
Answer: 4x-6=-46
4x-6=-46
What is the constant RATIO (how do you you multiply ) of the exponential curve that passes through the points (0, 3) and (5, 96) ?
Answer:
The answer is 1.788
Step-by-step explanation:
98*68-67+87
this is for my lady
Answer:
6684
Step-by-step explanation:
Answer:
6684
Step-by-step explanation:
(98)(68)-67+87
PEMDAS
What number would go into the box?
will give brainliest !!
Answer:
$672
Step-by-step explanation:
Answer: 42
Step-by-step explanation:
I think hope this helps
Frank reverses The older pairs show the height and ages of the same six tenants is age of function or high explain
On a team, 7 girls and 6 boys scored a total of 105 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. (Needs 2 equations) (Write the system)
Answer:
Each girl scored 9 points
Each boy scored 7 points
Step-by-step explanation:
Let the number of points each girl scored = a
Let the number of points each boy scored = b
7 girls and 6 boys scored a total of 105 points.
7a + 6b = 105......... Equation 1
The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21
7a - 6b = 21........... Equation 2
7a + 6b = 105......... Equation 1
7a - 6b = 21........... Equation 2
Subtract Equation 2 from Equation 1
12b = 84
b = 84/12
b = 7
Therefore, each boy scored 7 points
7a + 6b = 105......... Equation 1
b = 7
7a+ 6b = 105
7a + 6(7) = 105
7a + 42 = 105
7a = 105 - 42
7a = 63
a = 63/7
a = 9
Therefore, each girl scored 9 points.
solve the inequality -4x + 5 > 21
Answer:
x < -4
Step-by-step explanation:
Step 1: Write inequality
-4x + 5 > 21
Step 2: Solve for x
Subtract 5 on both sides: -4x > 16Divide both sides by -4: x < -4Answer:
x < -4
Step-by-step explanation:
[tex]-4x+5>21\\\\-4x+5-5>21-5\\\\-4x>16\\\\\frac{-4x>16}{-4}\\\\ \boxed{x<-4}[/tex]
Hope this helps.
Find the slope of the line through each pair of points. (9.-14). (8-8)
Answer:
-6
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -8- -14)/( 8 -9)
= ( -8+14)/( 8 -9)
6/-1
-6
Answer:
[tex]\boxed {\tt m= -6}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points given.
The points are (9, -14) and (8,-8). Therefore,
x₁=9
y₁= -14
x₂= 8
y₂= -8
Substitute the values into the formula.
[tex]m=\frac{-8 - -14}{8-9}[/tex]
[tex]m=\frac{-8 +14}{8-9}[/tex]
Solve the numerator.
[tex]m=\frac{6}{8-9}[/tex]
Solve the denominator.
[tex]m=\frac{6}{-1}[/tex]
Divide 6 by -1.
[tex]m= -6[/tex]
The slope is equal to -6
find the solutions of 4s²-12s = -9 by factoring
Steps Using Factoring By Grouping
[tex]4 {s}^{2} - 12s = - 9[/tex]
[tex]4 {s}^{2} - 12s + 9 = 0[/tex]
[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]
[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]
[tex](2s - 3)(2s - 3) = 0[/tex]
[tex](2s - 3) {}^{2} = 0[/tex]
[tex]2 s - 3 = 0[/tex]
[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]
[tex] \: \: \: \: \: \: \: 2s = 3[/tex]
[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]
[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]
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If f(a) = 3a? – a, then what is the value of f(-2) ?
Answer:
Step-by-step explanation:
-7
of
estion
Instructions: Write the equation of the line in
Slope-Intercept Form given the information
below. Use Point One in your answer.
Point One = (0, -2)
Point Two = (-3, -5)
Slope-Intercept Form:
The points in the table lie on a line. Find the slope of the line.
Answer:
Answer is 6..is correct
What is the solution for -x+10<4??
Answer:
x=6
Step-by-step explanation:
subtract 10 on both sides you will get -x<-6 divide both sides by a negative 1 that is how you get 6