1. Since Hannah cannot buy a fraction of a cupcake, the maximum number of cupcakes she can buy is 5.
2. If Hannah buys the maximum amount of cupcakes (5 cupcakes), she will be able to buy 5 cookies with the remaining budget.
To find the maximum number of cupcakes Hannah can buy, we need to divide her budget by the cost of each cupcake:
1. Maximum cupcakes she can buy:
Maximum cupcakes = Budget / Cost per cupcake
Maximum cupcakes = $35 / $6 ≈ 5.83 (rounded down to the nearest whole number, as you cannot buy a fraction of a cupcake)
Since Hannah cannot buy a fraction of a cupcake, the maximum number of cupcakes she can buy is 5.
2. If she buys the maximum amount of cupcakes (5 cupcakes), we can find out how many cookies she can buy with the remaining budget.
Remaining budget after buying cupcakes:
Remaining budget = Total budget - (Number of cupcakes * Cost per cupcake)
Remaining budget = $35 - (5 * $6)
Remaining budget = $35 - $30
Remaining budget = $5
Now, we can calculate the number of cookies she can buy with the remaining budget:
Number of cookies = Remaining budget / Cost per cookie
Number of cookies = $5 / $1 = 5
Hence, if Hannah buys the maximum amount of cupcakes (5 cupcakes), she will be able to buy 5 cookies with the remaining budget.
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which expressions are equivalent to 4^-2 times 7^-2
Step-by-step explanation:
[tex] = {4}^{ - 2} \times {7}^{ - 2} [/tex]
[tex] = {(4 \times 7)}^{ - 2} [/tex]
[tex] = {28}^{ - 2} [/tex]
[tex] = \frac{1}{ {28}^{2} } [/tex]
Explain solving Slope
ratio of vertical change between 2 points
What is the surface area of these cuboids?
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Help, plz! Math. TYSM IF U DO!
Answer: 1/16
Step-by-step explanation: ur right:)
simplify 2(3)(3)-2(3)(3)
Answer:
the answer is 0
Step-by-step explanation:
The stem and leaf diagram shows the ages of people in a cinema.
2 1 3
Key: 2 1 represents 21 years
3 0 2 2 5
4 3 4 6 8 9 9
5 0 2 2 3 5
a) What is the range of ages? Iyears
b) How many people are represented in the diagram?
people
c) What is the median age?
years old
Answer:
A 34
B 17
C 47
Step-by-step explanation:
The quotient of a number and the sum of the number and eight. Can someone please help me with translating that!! it'd mean a lot!!!
Answer:
6
——
x+8
Step-by-step explanation:
A linear function contains the points (-3, -7) and (6,-4). Which of the following points does it also include?
A.(-9,3)
B.(3,-6)
C.(12,2)
D.(9,-3)
The given points defines a line from which the linear function can be
determined and the included point on the line can be found.
The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]
Reasons:
The given points on the linear function are; (-3, -7), (6, -4)
The slope of the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we get;
[tex]Slope, \, m =\dfrac{-4-(-7)}{6-(-3)} = \dfrac{1}{3}[/tex]
The equation of the function is therefore;
[tex]y - (-4) = \dfrac{1}{3} \cdot (x - 6)[/tex]
[tex]y = \dfrac{x}{3} - 6[/tex]
Graphing the above equation on the calculator gives the points;
(-9, -9), (3, -5), (12, -2), and (9, -3)
Therefore;
The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]
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There are multiples of 6 and 8
respectively listed below. Write
the least common multiple of 6
and 8 in the box.
factor
6, 8, 12, 16, 18, 24, 30, 32,36,40,42,48
Answer:
16
Step-by-step explanation:
if you skip count the 6×3 & 8×2 you will get 16
Answer:
The least common multiple is 16
HELP PLEASE!
what are the solutions of the equation (x-2)^2=3x+6
Answer:
B. x -2
Step-by-step explanation:
The factors of (x -2)^2 are (x -2), twice.
The factors of -3x +6 are -3 and (x -2):
-3x +6 = -3(x -2)
The expression that is a factor of both is ...
x -2
n = 8
measurements: 4, 3, 6, 7, 5, 5, 4, 6
Calculate the mean.
Answer:
5
Step-by-step explanation:
mean=4+3+6+7+5+5+4+6/8mean=40/8mean =5Tyler’s brother works in a shoe store.
Tyler’s brother earns a commission. He makes 4.5% of the amount he sells. Last week, he sold $500 worth of shoes. How much was his commission? $
The store bought a pair of shoes for $20, and sold it for $55. What percentage was the markup?
%
Tyler’s brother earns $16 per hour. The store offers him a raise—a 3% increase per hour. After the raise, how much will Tyler’s brother make per hour? $
Include the original amount and the raise when calculating your answer for this question.
answer as fast as you can cause i am in class!!!!!
Answer:
Step-by-step explanation:
4.5%/100 = 0.045
$500*0.045 = $22.5
A: Tyler makes $22.5 in commision
($55-$20)/$20*100 = 175% markup
100%+3%= 103%
$16*103% = $16.48
A: he would be making $16.48/hr
dani uses cotton balls to make snow men for an art project. dani has 14 cotton balls, and she uses 3 cotton balls to make each snow man.dani makes as many as she can.how many snowmen does dani make
Using the appropriate arithmetic operation, the number of snowmen Danny makes is 4
Total number of cotton balls = 14
Number of cotton balls per snowmen = 3
Creating a proportional relationship thus :
3 cotton = 1 snowman
14 cotton balls = x
Cross multiply
3x = 14
Divide both sides by 3
3x/3 = 14/3
x = 4.667
Hence, the number of snowmen that can be made is 4
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Answer:
4
Step-by-step explanation:
QUESTION TWO Determine whether or not a constant function can be
(a)one-to-one.
(b)an onto function. [10 marks]
=========================================================
Explanation:
The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.
Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.
----------------------------
The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.
With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.
please help me thank you
Answer:
Here's how I'd do it
Step-by-step explanation:
8.
Write an equation in point-slope form for the line through the given point with the given slope.
(4, –6); m = 3/5
A. y - 6 = 3/5 (x+4)
B. y - 4 = 3/5 (x+6)
C. y + 6 = 3/5 x-4
D. y + 6 = 3/5 (x-4)
Answer:
D. y + 6 = 3/5 (x-4)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula y − y 1 = m ( x − x 1 ) .
Slope-intercept form: y = 3 /5 x − 42 /5
Point-slope form: y + 6 = 3 /5 ⋅ ( x − 4 )
Find the domain and range of the function f(x) = sqrt(2 - x - x ^ 2) .
Answer:
See belowStep-by-step explanation:
Given function:
[tex]f(x) = \sqrt{2 - x - x ^ 2}[/tex]As any square root function, its range is all non-negative numbers:
f(x) ≥ 0 or f(x) ∈ [0, +∞)The domain the x values when the expression under root is non-negative:
2 - x - x² ≥ 0x² + x - 2 ≤ 0(x + 2)(x - 1) ≤ 0- 2 ≤ x ≤ 1or
x∈ [-2, 1]The function g(x) = x is transformed to obtain function h:
h(x) = g(x) + 1.
which statement describes how the graph of his different from the graph of g?
OA. The graph of h is the graph of g horizontally shifted left 1 unit.
OB.
The graph of h is the graph of g vertically shifted up 1 unit.
Ос.
The graph of h is the graph of g horizontally shifted right 1 unit.
D. The graph of h is the graph of g vertically shifted down 1 unit.
Reset
Next
Answer:
B. The graph of h is the graph of g vertically shifted up 1 unit.
Step-by-step explanation:
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
O x + y = 29, 5x + 2y = 100
O x + y = 100, 5x + 2y = 29
O 5x + y = 29, 2y + x = 100
O 2x + y = 100, 5y + x = 29
h
Answer:
x + y = 29, 5x + 2y = 100 is the answer
Step-by-step explanation:
it IS the answer so the next person, DON'T TRY TO TAKE IT DOWN!!!!!!!
A tournament has 187 athletes. There are 91 more girls than boys. Let X represent the number of girls and let Y represent the number of boys. Write the system of equations that represents this situation
Answer: Need more info
Step-by-step explanation:
The system of equations that represents this situation will be;
⇒ 2Y + 91 = 187
What is linear expression?
A linear expression is an algebraic expression where each term is either a constant or a variable raised to the first power.
Given that;
Total athletes in a tournament = 187
And, In a tournament 91 more girls than the boys.
Now,
Let X represents the number of girls.
Let Y represents the number of boys.
Since, There are 91 more girls than the boys.
So, We can formulate;
X = 91 + Y
And, There are 187 athletes in a tournament.
So, We can formulate;
X + Y = 187
Substitute X = 91 + Y in above equation as;
91 + Y + Y = 187
91 + 2Y = 187
Thus, The system of equations that represents this situation will be;
⇒ 2Y + 91 = 187
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Find the value of x, then find EF.
X=
EF=
Hi I hope u have a great time ...
CD = FE
thus :
[tex]3x + 5 = 7x - 39[/tex]
Add both sides 39
[tex]3x + 5 + 39 = 7x - 39 + 39[/tex]
[tex]3x + 44 = 7x[/tex]
Subtract both sides 3x
[tex]3x - 3x + 44 = 7x - 3x[/tex]
[tex]44 = 4x[/tex]
Switch sides
[tex]4x = 44[/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{44}{4} \\ [/tex]
[tex]x = 11[/tex]
There u go have a great day ♡
What is another way to write (-2/3)(-2/3)
Answer:
[tex](-\frac{2}{3}) ^2[/tex]
Step-by-step explanation:
Since -2/3 is getting multiplied twice, we can write this as an expression with an exponent:
[tex]-\frac{2}{3}^2[/tex]
I hope this helps.
Side Note: If we evaluated the expression we would get 4/9.
[tex]-\frac{2}{3}^2\\\\1\frac{2^2}{3^2}\\\\\frac{4}{9}[/tex]
4. If f(x) = x2, g(x) = 5x, and h(x) = x +4, find each value.
Find h[f(4)].
Step-by-step explanation:
f(x) = x²
g(x) = 5x
h(x) = x + 4
= h[f(4)]
= x + 4
= f(4) + 4
= (4)² + 2
= 16 + 2
= 18
h[f(4)] = 18
What is the slope of this line?
-2/3
2/3
3/2
I don’t know
Answer: 2/3
Step-by-step explanation:
Help Quick Please i beg
Answer:
Molly bought 6 erasers.
Step-by-step explanation:
It says Molly spent $18 on a magazine and some erasers. That means she only bought 1 eraser.
18 - 6 = 12.
12 / 2 =6.
Solve the equation: 10x – 11 = 7x + 22
10x - 11 = 7x + 22
10x - 7x = 22 - 11
3x = 11
x = 11/3
x = 3.66
_____
RainbowSalt2222 ☔
A tower that is 128 feet tall casts a shadow 163 feet long. Find the angle of elevation of the sun to the nearest
degree.
The angle of elevation is
degrees. (Round to the nearest degree.)
Tan(angle) = opposite/ adjacent
Tan(angle) = 128/163
Angle = arctan(128/163)
Angle = 38.14 degrees
Rounded to nearest degree = 38 degrees.
What is the range of the function y= 2e7-1?
Answer:
The range of y = ex is all numbers greater than 0, so since the function has been shifted up 1, the new range of the function is all numbers greater than 1. Since the argument of any log must be greater than 0, (x-1)/2 > 0. Thus x - 1 > 0, so x > 1
Answer:
defines the set of values [ 1, 2, 3, 4, 5 ], and the range
1 : 3 : 5
defines the set of values [ 1, 4 ].
Although a range constant specifies a row vector, Octave does not normally convert range constants to vectors unless it is necessary to do so. This allows you to write a constant like 1 : 10000 without using 80,000 bytes of storage on a typical 32-bit workstation.
A common example of when it does become necessary to convert ranges into vectors occurs when they appear within a vector (i.e., inside square brackets). For instance, whereas
x = 0 : 0.1 : 1;
defines x to be a variable of type range and occupies 24 bytes of memory, the expression
i need help on this if anyone doesn't mind also very bad camera
Answer:
F:20%
Step-by-step explanation:
Hope it helps
Alex spends 40 minutes on his paper route every day. If he earns $6 a day from his paper route, how much does he get paid per hour?
Answer:
$9
Step-by-step explanation:
There are 60 minutes in an hour, and you have to multiply 40 by 1.5. Doing this, you would also have to multiply $6 by 1.5, getting $9 per hour.
