To buy 78 cookies using packages of 13 or 39, you can either buy 2 packages of 39 or 5 packages of 13 and 1 additional cookie.
Explanation:To find the number of ways you can buy 78 cookies using packages of 13 or 39, we need to consider the different combinations of packages.
Let's start with the largest package size, 39. If you buy 2 packages of 39, that's a total of 78 cookies. So one option is to buy 2 packages of 39.
Now let's consider the smaller package size, 13. If you buy 5 packages of 13, that's a total of 65 cookies. To reach a total of 78 cookies, you can buy 5 packages of 13 and 1 additional cookie.
Therefore, the total number of ways you can buy 78 cookies is 2 (using only packages of 39) or 1 (using 5 packages of 13 and 1 additional cookie).
How to solve the inequality x+8>2
Answer:
the answer to the inequality is x>-6
Step-by-step explanation:
x+8>2
x>2-8
x>-6
PLEASE HELP
What is the twenty-first term of the sequence given by
xn = 4n − 3 ?
87
72
81
6
Answer:
81
Step-by-step explanation:
To find the 21 st term substitute n = 21 into the formula
[tex]x_{21}[/tex] = 4(21) - 3 = 84 - 3 = 81
Which operations are commutative and
associative?
addition
O subtraction
multiplication
division
Answer:
additionmultiplicationStep-by-step explanation:
When learning about commutative and associative properties, we learn that ...
a + b = b + a . . . . . addition is commutative
ab = ba . . . . . . . . . multiplication is commutative
But we also know that ...
a - b ≠ b - a . . . . . . subtraction is not commutative
a/b ≠ b/a . . . . . . . . division is not commutative
__
We also learn that ...
a + (b+c) = (a+b) +c . . . . addition is associative
a(bc) = (ab)c . . . . . multiplication is associative
And of course, ...
a - (b -c) ≠ (a -b) -c . . . . subtraction is not associative
a/(b/c) ≠ (a/b)/c . . . . . . . division is not associative
_____
However, you can use associative and commutative properties in problems involving subtraction and division if you write the expression properly:
a - (b - c) = a +(-(b -c)) = a +((-b) +c) = (a +(-b)) +c . . . . keeping the sign with the value makes it an addition problem, so the associative property can apply
(a/b)/c = (a(1/b))(1/c) = a(1/b·1/c) = writing the division as multiplication by a reciprocal makes it so the associative property can apply
Answer:
addition
multiplication
A box of markers weighed 4 2/5 ounces. If a teacher took out 5/8 of the markers, what is the weight of the markers she took out? *
Multiply the weight by the amount they took out:
4 2/5 x 5/8
Rewrite as 22/5 x 5/8
(22 x 5) / (5 x 8)
Simplify:
110/40
Rewrite as a proper fraction:
2 3/4 ounces.
Explain how you know that 7/12 is greater than 1/3 but less than 2/3
Answer:
Step-by-step explanation:
7/12 is greater than 1/3 because it has a greater numerator and denominator it is less than 2/3 because the numerator is smaller
7. You go out to dinner and the bill is $40 and you want to leave the server a 15% tip. How much of a tip are you going leave?
The tip i will leave is of 6 dollars.
What is percentage ?Percentage is the value per hundredth. Suppose we have 500 dollars and we need find 50% of it.We know 50% of 500 dollars is half of it which is 250 dollars.
To find 50% of 500 dollars we put the the given percentage on numerator and divide by hundred and multiply it by the given amount.
∴ (50/100)×500
= 250 dollars.
According to the given question
You go out to dinner and the bill is $40 and you want to leave the server a 15% tip.
We have to find what is 15% of 40 dollars which is
= (15/100)×40 dollars.
= 6 dollars.
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X+2y=4 convert equation from standard form to slope intercept form
Answer:
y = -(1/2)x + 2
Step-by-step explanation:
2y = -x + 4
y = (-x + 4)/2
y = -(1/2)x + 2
The general strategy for solving an equation of the form x/a = b is to
O
A. divide both sides by b
O
B. multiply both sides by a
O
c. multiply both sides by b
D. divide both sides by a
E. divide both sides by x
Answer:
B, hope this helps you!
The general strategy for solving an equation of the form x/a = b is to multiply both sides by a.
What is an Equation ?A mathematical statement that two expressions are equal: it is either an identity in which the variables can assume any value, or a conditional equation in which the variables have only certain values (roots) the act of regarding as equal .
Solving equations is computing the value of the unknown variable still balancing the equation on both sides.
The general strategy for solving an equation of the form x/a = b
To solve this equation we will multiply both sides by a
On multiplying
x = ab
Therefore Option B. multiply both sides by a is the correct answer.
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x+5÷9=3
What is the number where when you add 5 then divide it by 9 it is 3?
Answer:
22 + 5 ÷ 9 = 3
Proof:
27/9
= 3
the number is 22
A car is purchased with a loan of $8.000 for two years with simple interest. The amount that is paid back is $8,160
Which function represents the interest on this loan after years!
The function that represents the interest on this loan after years is Interest = Principal × Rate × Time.
Explanation:The function that represents the interest on this loan after years can be calculated using the formula for simple interest:
Interest = Principal × Rate × Time
In this case, the principal is $8,000, the rate is unknown, and the time is 2 years. The interest paid back is $8,160, so we can rewrite the formula as:
$8,160 = $8,000 × Rate × 2
Dividing both sides of the equation by $8,000 × 2 gives:
Rate = $8,160 / ($8,000 × 2)
Solving this equation gives a rate of 0.51, or 51%.
PLZ HURRY! Which mapping diagram represents a function from x → y?
A function from x to y represents a situation where each x value is linked to a unique y value. This can be represented in a mapping diagram, such as with the points (1,5), (2,10), (3,7), and (4,14). Such a diagram showcases the fact that different x values trigger different y values, demonstrating the dependence of y on x.
Explanation:A function from x to y implies that when the value of x changes, it directly influences the value of y. One way to represent this is through a mapping diagram.
A mapping diagram that represents a function can be visualised as each value of x corresponding to a unique value of y. For example, refer to the following points: (1,5), (2,10), (3,7), and (4,14). Here, every x value is paired with a unique y value. When these points are plotted, there's no x value that corresponds to more than one y value, demonstrating the dependence of y on x.
Therefore, a function from x to y is represented by a mapping diagram where different x values are linked to unique y values, showing the dependency of y values on the x values.
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8/x=14/7 what does x equal
Answer:
when you have two fractions that equal each other you want to solve by using cross multiply
What cross multiply is, is when you multiply diagonally so:
8/x=14/7
you would take 14*x and 8*7
14x=56 (you would then divide each side by 14)
x=4 (14/14=1, 56/14=4)
8/4=14/7
To check your work you could simplify
8/4=2
14/7=2
2=2, which is true
x=4
Hope this helps ;)
1. If two nonvertical lines are parallel, what do we know about their slopes? If two lines are perpendicular and neither is parallel to an axis, what do we know about their slopes? Why must the lines be nonvertical?
Non-vertical parallel lines have equal slopes, while slopes of non-vertical, non-horizontal perpendicular lines are negative reciprocals of each other. Vertical lines are defined as having an infinite slope, thus they must be non-vertical to consider their slopes.
Explanation:When considering the slopes of lines on a graph with perpendicular axes, like the x-axis and the y-axis, we can draw several conclusions about parallel and perpendicular lines. If two non-vertical lines are parallel, their slopes are equal, because the tilt of the lines with respect to the horizontal axis is the same. For example, if we have two equations of lines in the form y = mx + b, where m represents the slope and b represents the y-intercept, parallel lines would have the same value of m.
If two lines are perpendicular and neither line is parallel to an axis, then their slopes are negative reciprocals of one another. This holds true because the product of the slopes of two perpendicular lines is -1. For example, if the slope of one line is a, the slope of the line perpendicular to it will be -1/a.
It is necessary for the lines to be non-vertical because a vertical line does not have a well-defined slope; its slope is considered infinite. Therefore, the definition of perpendicular lines in terms of slope only applies to non-vertical lines.
The ratio of boys to girls is 10:7. If there is 84 girls, how many boys are there?
Answer:1
Step-by-step explanation:
How do I solve systems of equations algebraically
Answer:
You solve equations algebraically by using equations to answer and having variables rather than the arithmetic way (doing the work).
Ex: instead of 20÷5=4 (arithmetic), you do
20=5x
Answer would be greatly appreciated. (MATH)
Answer:
6
Step-by-step explanation:
5x/3 + 1/3 =12 find x
Answer:
x = 7.002 or 7
Step-by-step explanation:
5x/3 + 1/3 = 12
- 1/3 - 1/3
5x/3 = 11 2/3
3(5x/3) = 3(11 2/3)
5x = 35.01
x = 7.002 or 7
What is the vertex of the graph of f(x) = |x + 3|+ 7? (3,7) (7,3) (-3, 7)(7,-3)
Answer:
vertex (-3 , 7)
Step-by-step explanation:
vertex (h, k) f(x) = a | x - h | + k
f(x) = |x + 3|+ 7 , h = - 3 and k = 7
vertex (-3 , 7)
The value of vertex of the graph would be,
⇒ (-3 , 7)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We know that;
Standard form of equation is,
⇒ f(x) = a | x - h | + k
Where, vertex = (h, k)
Here, The equation of graph is,
f(x) = |x + 3|+ 7 ,
And, h = - 3 and k = 7
Thus, The value of vertex of the graph would be,
⇒ (-3 , 7)
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The area of a parallelogram increased from 40 to 128 square centimeters what is area percentage?
Answer:
320
Step-by-step explanation:
j u s t a g u e s s b u t i t h i n k i t s r i g h t
To find the area percentage increase when the area of a parallelogram increased from 40 to 128 square centimeters, calculate the percentage change as 220%.
The area percentage increase can be calculated as follows:
Initial area = 40 cm²Final area = 128 cm²Area increase = 128 cm² - 40 cm² = 88 cm²Percentage increase = (Area increase / Initial area) x 100%Substitute the values: Percentage increase = (88 cm² / 40 cm²) x 100% = 220%What is equivalent to 8 1/4
Answer:
33/4
Step-by-step explanation:
8x4 +1 = 33
Answer:
33/4
Step-by-step explanation:
A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit?
IDENTIFY VARIABLES, STATE OBJECTIVE FUNCTION, AND STATE THE CONSTRAINTS.
Answer:
200- software (x) 225- video game (y) = 425 items
Step-by-step explanation:
software- 200 = $10,000 video-225 = $7,875
total= $17,875
200x + 225y = $17,875
vanssea earns base salary of $400.00 every week with an additional 5% commission on everything she sells. Vanessa sold $1650.00 worth of items last week. What was Vanessa's total pay last week?
Answer: She earns 482.50
Step-by-step explanation:
(889 x 27) + 50 is
than 889 x 27
Final answer:
The expression (889 x 27) + 50 is greater than 889 x 27, because adding 50 to any product will always result in a larger number.
Explanation:
The student's question is asking to compare the result of the expression (889 x 27) + 50 with 889 x 27, without actually calculating the precise values.
First, let's evaluate the structure of the expressions. When we have an expression of the form (a x b) + c, adding any number c to the original product of a and b will always result in a value greater than the original product. This is a basic property of arithmetic progression.
Based on this property, we know that (889 x 27) + 50 is definitely greater than 889 x 27 because we are adding a positive number (50) to the original product, hence the sum must be larger.
Find the Quotient.
5,483 ÷ 4
Answer:
1370.75
Step-by-step explanation:
9th grade math thanks
Answer:
Plumber A has greater initial fee
Step-by-step explanation:
Plumber B:
Hourly charge = 160 - 105 = $55
Initial charge = 105 - 55 = $50
Equation: y = 50 + 55x
Answer:
C
Step-by-step explanation:
For plumber A : y = 100 + 30x
For plumber B :
Let the total charge be y
Initial charge be x
Hourly rate be za
For total price = 105 in 1hr
105 = x + a ........(1)
For 160 total charge in 2hrs
160 = x + 2a .........(2)
Substracting (1) from (2)
160 - 105 = 2a - a
55 = a
Substituting a = 55 in (1)
105 = x + a
105 = x + 55
x = 105 - 55
x = 50
:- equation for total charge is
y = 50 + 55a
5 A dangerous criminal has escaped from
prison. The police believe he could not have
traveled more than 10 mi in any direction
from the prison. How many square miles
must be searched?
Answer:
314 mile²
Step-by-step explanation:
area = πr² = 3.14 x 10² = 314 mile²
which is an equation of the line that passes through the points (5,2) and (10,-3)
Answer:
y = x - 4
Step-by-step explanation:
equation of a line can be expressed as
(x - x1)/(x2 - x1) = (y - y1)/(y2 - y1)
(x - 5)/(10 - 5) = (y - 2)/(-3 - 2)
cross multiplying,
-5(x - 5) = 5(y - 2)
clearing the parentheses
-5x + 10 = 5y - 10
hence,
5y = 5x - 20
y = x - 4
How many 60-degree angles does it take to make a full turn?
Answer:
6
Step-by-step explanation:
360 is a full turn so, 360 divided by 60 is 6
9y-4-11y+7
Terms:
Like terms:
Coefficient:
Constants:
9y - 4 - 11y + 7
Terms: 9y, -4, -11y, 7
Like terms: 9y and -11y
Coefficient : 9, -11
Constants: 7, -4
Solution:
Given expression is:
9y - 4 - 11y + 7
We have to find the terms, like terms, coefficient and constants
Terms:Each term in the expression is called terms
It includes, numbers, variables also
Terms : 9y and -4 and -11y and 7
Coefficients:A coefficient is a number used to multiply a variable
Here the terms with variables are 9y and -11y
Coefficient : 9, -11
Like terms:"Like terms" are terms whose variables are the same and thier powers is also same
Like terms : 9y and -11y
Constants:The constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number
Constants: 7 and -4
work out 35% out of £120
Answer:
42
Step-by-step explanation:
120*35=4200
4200/100=42