Answer #1:
The total cost with 6 snacks is $78.
Answer #2:
The total cost with x snacks is represented by the expression 60 + 3x.
Step-by-step explanation for answer #1:
Starting off with what we know:
Genesis has 3 kids, so there are 4 people total including Genesis.Each movie ticket is $15.Each snack is $3.To answer the question of how much money Genesis would have to pay for her family if she bought 6 snacks for everybody, first consider the total cost of the movie tickets.
Multiply the total number of people by the cost of each movie ticket:
[tex]4* 15=60[/tex]
Genesis will be paying $60 total only to see the movie with her 3 kids. To find the total cost of both seeing the movie and buying 6 snacks, simply multiply the number of snacks by the cost of each snack:
[tex]6 * 3=18[/tex]
Then, add the total cost of the movie tickets by the total cost of the snacks to achieve your first answer:
[tex]60+18=78[/tex]
The total cost with 6 snacks is $78.
Step-by-step explanation for answer #2:
To find the total cost of "x" snacks (x is being used as a variable term to represent a quantity subject to change), we can create an algebraic expression.
Let "t" represent the total cost.
Since we've established that finding the total cost is just a matter of adding the total cost of movie tickets (60) and the total cost of snacks (3 multiplied by the number of snacks), let "x" represent the number of snacks in the equation to find the total cost with x snacks:
[tex]60+3x=t[/tex]
The total cost with x snacks is represented by the expression 60 + 3x.
Based on the given data, the total cost of 6 snacks: $78. total cost with x snacks: $60 + (3x).
Use the concept of multiplication defined as:
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that,
Genesis is going to see a movie with her 3 kids.
Each movie ticket costs $15.
There are snacks available for purchase at $3 each.
Genesis wants to buy 6 snacks for everybody to share.
To calculate the total cost for Genesis and her 3 kids,
Consider the movie tickets and the snacks.
The cost of the movie tickets can be calculated by multiplying the number of people (4 in this case) by the cost of each ticket ($15).
So, Genesis would have to pay 4 x $15 = $60 for the movie tickets.
Now, let's calculate the total cost if Genesis were to buy 6 snacks for everybody to share.
Each snack costs $3, so 6 snacks would cost 6 x $3 = $18.
Therefore, the total cost for Genesis would be,
$60 (movie tickets) + $18 (snacks) = $78.
If we consider x snacks for everybody to share,
The total cost for snacks would be x $3.
So, the final cost would be $60 (movie tickets) + (3x) (snacks).
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write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
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Answer: [tex]\textsf{y = -1/4x - 4}[/tex]
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Given: [tex]\textsf{Slope = -1/4, Point through = (4, -5)}[/tex]
Find: [tex]\textsf{Equation for the line that passes through the given point}[/tex]
Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.
Plug in the values
[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-5) = -1/4(x - 4)}[/tex]Simplify and solve for y
[tex]\textsf{y + 5 = -1/4(x - 4)}[/tex][tex]\textsf{y + 5 = -1/4x + 1}[/tex][tex]\textsf{y + 5 - 5 = -1/4x + 1 - 5}[/tex][tex]\textsf{y = -1/4x - 4}[/tex]Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.
Suppose that F(x) = x² and G(x) = 3x^2 + 8. Which statement best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) stretched vertically and
shifted 8 units to the left.
B. The graph of G(x) is the graph of F(x) compressed vertically and
shifted 8 units to the left.
C. The graph of G(x) is the graph of F(x) compressed vertically and
shifted 8 units up.
D. The graph of G(x) is the graph of F(x) stretched vertically and
shifted 8 units up.
Answer:
The graph of G(x) is the graph of F(x) stretched vertically and shifted 8 units up.
Juanita’s boss told her that once she has worked with the company for 10 years, her salary will be increased to 3 times what she makes now plus $2,000. If s represents her original salary, which expression represents what her salary will be after 10 years at the company?
One-third s + 2,000
StartFraction 3 Over s EndFraction + 2,000
3 s + 2,000
2,000 minus 3 s
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Juanita’s salary once she completes 10 years, her salary will be increased to 3 times what she makes now plus $2,000. Now, if her salary is represented by s, then the expression that would represent her salary after 10 years is,
Salary after 10 years = 3s + 2000
Hence, the correct option is C.
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Answer:
C
Step-by-step explanation:
help please I need alot of help
Answer:
HI i no answer of this quetion but what grade are in school
Given that x is an even number, express, in terms of x, the product of the next two odd numbers.
Answer:
Odd is the answer.
Step-by-step explanation:
An even number can be written in the form 2x, where x is an integer.
An odd number can be written in the form 2x + 1, where x is an integer.
So two odd numbers can be represented by 2a +1 and 2b +1, the product would be:
(2a + 1)(2b +1) = 4ab + 2a + 2b + 1 = which can be written as 2(2ab + a +b) + 1, but 2ab +a + b represents some integer, so 2ab + a + b = x.
So (2a + 1)(2b + 1) = 2(2ab + a + b ) + 1 = 2x +1 which is odd.
If a = 2√3, then the exact value of b is...
Answer:
b = 2
Step-by-step explanation:
using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{a}[/tex] = [tex]\frac{b}{2\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
b × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
b = 2
Answer:
C. b = 2Step-by-step explanation:Given that a = 2√3.
Let's find value of b...
[tex]\bf \tan( {30}^{o} ) = \cfrac{b}{a} [/tex][tex] \bf \cfrac{1}{ \sqrt{3} } = \cfrac{b}{2 \sqrt{3} } [/tex][tex]\bf b = 2[/tex]______________________Raj correctly determined that ray LH is the bisector of AngleGLI. Which information could he have used to determine this?
AngleGLH Is-congruent-to AngleILM
mAngleKLM = 5mAngleILM
mAngleGLI = 2mAngleGLH
mAngleGLI = mAngleGLH + mAngleHLI
The information could he have used to determine this is C. ∠GLI = 2∠GLH.
What is an angle?An angle is formed from the intersection of two lines. The types of angles are acute, obtuse, and scalene.
∠GLI is bisected by LH, hence:
∠GLH = ∠HLI (definition of bisection)
∠GLI = ∠GLH + ∠HLI (angle addition)
∠GLI = 2∠GLH
The information that can be used to determine this is ∠GLI = 2∠GLH.
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Answer: its C
Step-by-step explanation: on edge
HI PLEASE ANSWER THIS QUESTION THANK YOU SO MUCH!
Mr. Avanzado has an underground in his house. What unit ofmeasure will he use to find its volume?
A. mm3
B. cm3
C. dm3
D. m3
2.What is the best unit of measure to use in finding the volumeof a rectangular pencil case?
A. mm3
B. cm3
C. dm3
D. m3
3.What is the formula to be used in finding the volume of a cube?
A. V = s x s or s2
B. V = s x s x s or s3
C. V = l x w x h
D. V = s + s + s
(NO TROLLS PLEASE)
1. m³
2. cm³
3. s³
What is Unit?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
1. Volume is measure in m³
2. volume of a rectangular pencil case in cm³
3. V = s x s x s or s³
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Ariana scored 89% out of 600 in Exam what could be the marks she had scored?
Answer:
534
Step-by-step explanation:
The solution is in the image
Need help finding the one complete period of a non transformed contangent function
One complete period of a non-transformed cotangent function is π.
The period of the function is defined as the interval after which the function value repeats itself.
For example, f(T+x)=f(x)
where T is the period of the function.
Here given that there is a non-transformed function cotangent function.
We have to find the period of the function in which interval the value of the function will repeat.
So for the function y=f(x)=cot x
the period of the function is π. means after π the value of the cotangent repeats.
cot(π+x)=cot x
Then one cycle of the cotangent graph lies between 0 and π.
Therefore One complete period of a non-transformed cotangent function is π.
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Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
-3x+3y=9
2x-7y=-14
Alse please don't take long
Choices are attached
Answer:
[tex]\sf C) \ x = -1\dfrac{2}{5} , \ y = \ 1\dfrac{3}{5}[/tex]
Given equations:
a) -3x + 3y = 9b) 2x - 7y = -14Make x the subject in equation 1:
-3x + 3y = 9-3x = 9 - 3yx = y - 3Substitute this into equation 2:
2(y - 3) - 7y = -14
2y - 7y = -14 + 6
-5y = -8
y = -8/-5
y = 1.6
Then x = y - 3
= 1.6 - 3
= -1.4
Solution: (x, y) ⇒ (-1.4, 1.6)
Please help with this question
Answer:
4
Step-by-step explanation:
the second column and the second row so, the answer is 4
A bookshelf has 96 books. 64 of the books are fiction and the rest are non-fiction. (a) What fraction of the books are fiction? Give your answer in its simplest form. (b) What fraction of the books are non-fiction?
(a) The fraction of books that are fiction is 2/3.
(b) The fraction of books that are non-fiction is 1/3.
To find the fraction of fiction and non-fiction books on a bookshelf:
Given: A bookshelf has 96 books. 64 of the books are fiction and the rest are non-fiction books. (a)Fraction of fiction books =?
(b)Fraction of non-fiction books =?
Now,
As given, we have,
The total number of books on a bookshelf = 96
Out of 96, the total number of fiction books = 64
So,
The remaining number of books = non-fiction books = 96-64 = 32
(a) Fraction of fiction books = fiction books/total books
= 64/96
On simplification,
= 2/3
(b) Fraction of non-fiction books = non-fiction books/total books
= 32/96
= 1/3
Therefore, the fraction of fiction and non-fiction books is 2/3 and 1/3 respectively.
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Pls someone help me on this question
Answer: [tex]x=65^{\circ}, y=65^{\circ}, z=65^{\circ}[/tex]
Step-by-step explanation:
All radii of a circle are congruent, so by the base angles theorem
z = y = (180-50)/2 = 65.Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.
Isabella has a dozen apples of the same size and a dozen
watermelons of the same size. Isabella uses her juicer to extract 15
ounces of watermelon juice from 3 watermelons and 5 ounces of
apple juice from 9 apples. She makes a watermelon-apple juice
blend from an equal number of watermelons and apples. What
percent of the blend is watermelon juice?
90 per cent of the blend is watermelon juice.
Given that, Isabella has a dozen apples of the same size and a dozen watermelons of the same size.
Isabella uses her juicer to extract 15 ounces of watermelon juice from 3 watermelons and 5 ounces of apple juice from 9 apples.
We need to find what per cent of the blend is watermelon juice.
What is per cent?The percentage is a relative value indicating the hundredth part of any quantity. One per cent (symbolized 1%) is the hundredth part; thus, 100 per cent represents the entirety and 200 per cent specifies twice the given quantity.
Given that, she makes a watermelon-apple juice blend from an equal number of watermelons and apples.
So if she takes 9 apples, she can extract 5 ounces of juice.
By taking the same number of watermelons, that is 9 she can extract 15×3=45 ounces of juice.
Per cent of watermelon juice in the blend=45/50 ×100= 90%
Therefore, 90 per cent of the blend is watermelon juice.
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i need a little help -
Given f(x) = (x - 1)(x + 2)(x − 3), what are the zeros and end behavior of the function?
A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given f(x) = (x - 1)(x + 2)(x − 3), therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.
Hence, the zeroes of the functions are -2, 1, and 3.
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Answer:
−1, 2, −3; continues downward to the left and upward to the right
Step-by-step explanation:
What are the zeros of this function?
I need these answers ASAP would be very grateful for these if you would like to help me out I would appreciate it and give a good amount of points!
Answer:
5. 8π 6. 18π 7. 8.6π 8. 11/4π
Step-by-step explanation:
8. 2 3/4
2*4+3 = 11/4
disributivity of multiplication over addition for rational numbers solve : -3/4 , 2/3 and -5/6 = 1/8 ? how ?
The distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
Complete questionWhich of the following is an example of distributive property of multiplication over addition for rational numbers
(a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
(b) -3/4 × {2/3 + (-5/6)} = [3/4 × 2/3] - (-5/6)
(c) -3/4 × {2/3 + (-5/6)} = 2/3 + (-3/4) × -5/6
(d) -3/4 × {2/3 + (-5/6)} = {2/3 + (-5/6)} - 3/4
How to determine the correct distributive property?The distributive property of multiplication states that:
a * (b + c) = (a * b) + (a * c)
From the given question, we have:
-3/4 × {2/3 + (-5/6)}
This means that:
a = -3/4
b = 2/3
c = -5/6
Recall that a * (b + c) = (a * b) + (a * c)
So, we have:
-3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
Hence, the distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
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How to subtract negative number from 1
when you subtract a negative number from any platitude number the equation changes to addition so you would add the value of the negative number to 1.
To subtract a negative number from one you will need to set it up like this
1- (-x) x equals the negative number you're talking about
so we use the method KCC (keep change change)
So we KEEP the positive one, CHANGE the subtraction sign in to a plus sign "+" then CHANGE the negative number to a positive
lets say the negative number is 2
1-(-2)
1+ (+2)
1+2 = 3
Please help me solve problems a - d.
By defining and solving systems of equations, we will see that:
a) the fraction is 40/56
d) the fraction is 15/21.
How to write the equations?
We have the fraction 5/7 and we want to write it in different ways.
a) First we want to find a number a/b such that:
a/b = 5/7
a + b = 96
This is a little system of equations, to solve this, first we can rewrite the first equation as:
7a = 5b
Now we can isolate a on the second equation:
a = 96 - b
And replace that on the other equation:
7*(96 - b) = 5b
And now we can solve this for b.
672 - 7b = 5b
672 = 5b + 7b = 12b
672/12 = b = 56
And we know that:
a = 96 - b = 96 - 56 = 40
Then the fraction is 40/56
d) This time we want the denominator to be 9 less than twice the numerator.
in a/b, a is the numerator and b is the denominator.
So this time we have:
a/b = 5/7
b = 2a - 9
We can rewrite the first equation again:
7a = 5b
And then replace the other equation in the right side:
7a = 5*(2a - 9)
And now solve this for a.
7a = 10a - 45
45 = 10a - 7a = 3a
45/3 = a = 15.
And:
b = 2a - 9 = 2*15 - 9 = 21
Then the fraction is 15/21.
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Simplify 8 − (14). plsss help
Answer:
(-6)
Step-by-step explanation:
Integer subtraction:
If two numbers have different sign, subtract and the result will have the sign of the bigger number.
8 - 14 = (-6)
Subtract 8 from 14 and the bigger number is 14 and sign of 14 is (-).
So, the answer is (-6)
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
75 mm
Step-by-step explanation:
Pythagorean theorem:To find the hypotenuse, use Pythagorean theorem
Hypotenuse² = base² + altitude²
c² = 21² + 72²
= 441 + 5184
= 5625
[tex]\sf c = \sqrt{5625}[/tex]
[tex]= \sqrt{75*75}\\\\\boxed{\bf c = 75 \ mm}[/tex]
(11-8)x3+7+27-3
(18÷3)+6+(14-8)x5
(11-7)x6+4+32-4
The results of the arithmetic evaluations as given in the task content are; 40,42 and 62.
What are the results of the arithmetic evaluations?The arithmetic operations above can be evaluated and simplified as follows;
(11-8)x3+7+27-3 = (3×3)+7+27-3 = 40.
(18÷3)+6+(14-8)x5 = (6)+6+(6)x5 = 42.
(11-7)x6+4+32-4 = (5×6) +4 +32-4 = 62.
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A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)
The area that needs to be covered is
ft2.
A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Find the Area of the Space.[tex] \mathbb{SOLUTION:} [/tex][tex] \bold{A = Length \: x \: Width} [/tex][tex] \bold{A = 12 \: ft \: x \: 4.2 \: ft } [/tex][tex] \blue{\bold{A = 50.4 \: ft} }[/tex][tex] \bold{ A\red{ = 50.4 } \: x \: 2 \: ft} [/tex][tex] \boxed{ \bold{ A = 100.80 ft²}}[/tex]"If the 2 is quantity use multiply it again"
••••••••••••••••••••••••••••••••••••••••••••••••NOTE:The way to solve a square area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft2).
"Problem has been solve"
(ノ^_^)ノ
[tex]\large\bold{SOLUTION} \\ [/tex]
GIVEN :-
A square with side lengths 12 feet.4.2 feet by 2 feet squares are cut out of each corner of the square .FIND :-
Find the area of the space that needs to be covered .By finding the area of the space that needs to be covered we must use multiplication and multiply the given measurements .
[tex] \bold{Formula:}[/tex]
[tex] \qquad \boxed{ \bold{ \: \: Area = Length \times Width \: \: }}[/tex]
Now let's start solving :-
[tex] \quad \sf \implies{Area = Length \times Width} \\ [/tex]
[tex] \quad \sf \implies{Area = 12ft \times 4.2ft} \\ [/tex]
[tex] \quad \sf \implies{Area = 12feet \times 4.2ft = \pmb{50.4 ft}} \\ [/tex]
[tex] \quad \sf \implies{Area = 50.4ft \times 2ft = \pmb{100.80ft^2}} \\ [/tex]
Therefore, the area of the space that needs to be covered is 100.80ft² .
[tex] \underline{ \rule{185pt}{3pt}}[/tex]
11. Work backwards to write a quadratic equation that will have solutions of x = 12 and x = 2.
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Answer: [tex]\textsf{x}^2\textsf{ - 14x + 24}[/tex]
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Given: [tex]\textsf{x = 12 and x = 2}[/tex]
Find: [tex]\textsf{Determine the quadratic equation}[/tex]
Solution: In order to determine the quadratic equation we need to move the integers onto the side where x is and then distribute.
Move the integers
Solution #1[tex]\textsf{x - 12 = 12 - 12}[/tex][tex]\textsf{x - 12 = 0}[/tex]Solution #2[tex]\textsf{x - 2 = 2 - 2}[/tex][tex]\textsf{x - 2 = 0}[/tex]Create and expression and distribute
[tex]\textsf{(x - 12)(x - 2) = 0}[/tex][tex]\textsf{(x * x) + (x * -2) + (-12 * x) + (-12 * -2) = 0}[/tex][tex]\textsf{x}^2\textsf{ - 2x - 12x + 24 = 0}[/tex][tex]\textsf{x}^2\textsf{ - 14x + 24 = 0}[/tex]Therefore, after completing the steps we were able to determine that the quadratic equation that will have solutions of x = 12 and x = 2 is x^2 - 14x + 24.
For every pound a company spends on advertising, it spends £0.80 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
The ratio of amount spent on advertising to the amount spent on its website in its simplest form is 0.5 : 0.4
RatioAmount spent on advertising = £1Amount spent on website = £0.80Ratio of amount spent on advertising to the amount spent on its website
= £1 : £0.80
= 1 / 0.80
= 0.5 / 0.4
= 0.5 : 0.4
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Triangle ABC is a right triangle with CD | AB. Angle C is a right angle.
(BC)²+(AC)² = (AB)(BD + AD). Using
gives Blank space for answering Question.
(BC)²+(AC)=(AB) (AB), which simplifies to (BC)2 + (AC)2 = (AB)2
Possible answers
CPCTC
Side-Angle-Side Similarity Postulate
congruent
Side-Side-Side Similarity Postulate
segment addition postulate
proportional
First blank: Side-Angle-Side similarity postulate
Second blank: proportional
A sign on a roadway at the top of a mountain indicates that for the next 4 miles, the grade is 10.5°. Find the change in elevation over that distance for a car descending the mountain. Round to the nearest hundredth.
the change in elevation is -0.73 miles (the negative sign is because the new elevation is smaller than the initial one).
How to find the change in elevation?
To do this, we can think on the situation as a right triangle, where the hypotenuse is 4 miles, the angle that we look at measures 10.5°, and the change in elevation (let's call it x) will be the opposite cathetus to that angle.
Then we can use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse)
Replacing what we know, we get:
sin(10.5°) = x/4mi
x = sin(10.5°)*4mi = 0.73mi
So the change in elevation is -0.73 miles (the negative sign is because the new elevation is smaller than the initial one).
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