Answer:
20 x 9 = $180 just multiply hours worked times rate per hour
5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?
Answer:
$3.65
Step-by-step explanation:
The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.
__
setupLet x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...
5x +3y = 23.50
5x +y = 20.00
solutionRearranging the second equation, we have an expression for y:
y = 20.00 -5x . . . . . . subtract 5x from both sides
Substituting this into the first equation gives ...
5x +3(20.00 -5x) = 23.50 . . . . . substitute for y
-10x +60.00 = 23.50 . . . . . . simplify
x -6.00 = -2.35 . . . . . . . . divide by -10
x = 3.65 . . . . . . . . . . . add 6
One hockey puck costs $3.65.
Which situation is not an example of a digital transaction?
OA. Juliana uses Bitcoin to buy computer software.
B. Jamelle tips a driver by using a rideshare app.
OC. Elsa mails a check to her utility company.
D. Mark scans the QR code on a menu to pay for lunch.
SUBMIT
Answer:
C
Step-by-step explanation:
mailing a check is the mechanical transport of a physical object representing a monetary amount for payment.
that act itself is not electronic.
at the end in today's times the final act to get the money from Elsa'a account into the account of the utility company will be most certainly electronic, but we don't know (it could still end up in the old fashioned way that somebody from the utility company goes with the check to their bank, cash that check in and then use that cash in some way). and Elsa would not be involved. for her the payment was manual, "mechanical", and not electronic.
Answer:
C
Step-by-step explanation:
It mentions Elsa mails a check. Although it is sent through mail, the means of payment is still a check, which is not a digital transaction.
Find the measure of angle F if angle D = 88°
Answer:
52
Step-by-step explanation:
Two triangles are similar
m<B = m<E
m<C = m<D
m<A = m<F
now, the sum of interior angles in a triangle is equal to 180
angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:
40 + 88 + m<F = 180 add like terms
128 + m<F = 180 subtract 128 from both sides
m<F = 52
Evaluate function at the given value using the remainder theorem.
f(a)=a^4-2a^3-10a^2-7a at a=-2
Answer:
6
Step-by-step explanation:
[tex]f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6[/tex]
helppppppppppppppppp pleaseeeeeeeeeeee
a simple question
1. Why x/∞=0 for x real numbers. can you explain it?
2.why x/0 for x real numbers is infinity (∞)?
STOP COPY PASTE THIS IS NOT A SERIOUS QUESTION BUT BECAUSE I AM CURIOUS!
DON'T ANSWER JUST FOR A POINTS BUT TO HELP PEOPLE!
Neither of these statements are true.
x/∞ = 0 is a nonsensical statement. It's more accurate to say
[tex]\displaystyle \lim_{y\to\infty} \frac xy = 0[/tex]
for any real number x. The important bit is that y is an arbitrarily large number as it approaches ∞. To convince yourself that this expression approaches 0 as y gets larger and larger, try fixing x and pick any increasing sequence of numbers for y.
For example, let x = 1 and take y from the sequence of increasing powers of 10, {10, 10², 10³, …}, which grows without bound. Then
1/10 = 0.1
1/10² = 0.01
1/10³ = 0.001
and so on. Naturally, the larger the power of 10 and thus the larger y gets, the closer x/y gets to 0.
Similarly, x/0 is nonsense, but the "limit-ized" version of the claim is also incorrect. For any fixed real number x, the limit
[tex]\displaystyle \lim_{y\to0} \frac xy[/tex]
does not exist. Suppose x > 0. If y approaches 0 from above, then y > 0 and x/y > 0 and
[tex]\displaystyle \lim_{y\to0^+} \frac xy = +\infty[/tex]
which you can convince yourself is true by reversing the example from before. Let x = 1 and take y from the sequence of decreasing powers of 10, {1/10, 1/10², 1/10³, …}, which converges to 0. Then
1/(1/10) = 10
1/(1/10²) = 100
1/(1/10³) = 1000
and so on. The smaller y gets (while still being positive), the larger x/y becomes.
But now suppose y < 0 and that y approaches 0 from below. Then x/y < 0, and
[tex]\displaystyle \lim_{y\to0^-} \frac xy = -\infty[/tex]
The limits from either side do not match, so the limit as y approaches 0 does not exist.
You can use the same reasoning for when x < 0.
The case of x = 0 is special, however. Since y is approaching 0, it's never actually the case that y = 0. 1/y is then some non-zero real number, and multiplying it by x = 0 makes x/y = 0. Then
[tex]\displaystyle \lim_{y\to0} \frac 0y = 0[/tex]
So in general,
[tex]\displaystyle \lim_{y\to0} \frac xy = \begin{cases}0 & \text{if }x = 0 \\ \text{does not exist} & \text{otherwise}\end{cases}[/tex]
3. Given: AABC, ADEF, and FEL CE
A
6
What is a correct sequence of similarity transformations that shows AABC~ ADEF?
A. a rotation of 180 degrees about point E followed by a horizontal translation
B. a counterclockwise rotation of 90 degrees about point E followed by a horizontal translation
C. a rotation of 180 degrees about point E followed by a dilation with a scale factor of 2 centered at point E
D. a counterclockwise rotation of 90 degrees about point E followed by a dilation with a scale factor of 2 centered
at point E
A correct sequence of similarity transformations that shows AABC~ ADEF is that D. a counterclockwise rotation of 90 degrees about point E followed by dilation with a scale factor of 2 centered at point E.
What is similarity transformation?A similarity transformation refers to a geometric similarity, or to a matrix transformation that results in a similarity.
In this case, the correct sequence of similarity transformations that shows AABC~ ADEF is that a counterclockwise rotation of 90 degrees about point E followed by dilation with a scale factor of 2 centered at point E.
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Which measurements could create more than one triangle?
A. Angles measuring 85°, 45°, and 60°
B. Angles measuring 95°, 35°, and 50⁰
C. Sides measuring 8 cm and 15 cm and an included angle measuring 60°
D. Sides measuring 5 inches, 7 inches, and 13 inches
Answer:
A.
Step-by-step explanation:
The sum of angles of a triangle is 180. if you add 85+45+60 you get 190. That is more than 180.
The equation y - 5 = 6(x+1) is written in point-stope form. What is the equation written in slope-intercept form?
A. y = 6x + 11
B. y = 6x - 1
C. y = 6x - 4
D. y = 6x + 6
Answer:
A
Step-by-step explanation:y-5=6(x+1)
y-5=6x+6 Combine like terms so you add -5 to +6 which would be y=6x+11
Gabby is a makeup artist and carries a lot of makeup around with her. she has 20 cosmetics in her bag, including 4 eye shadows. what is the probability that a randomly selected makeup item from her bag will be an eye shadow? write your answer as a fraction or whole number.
The probability that a randomly selected makeup item from her bag will be an eye shadow is 1/5 or 20%.
The probability of selecting an eye shadow from Gabby's bag can be calculated by dividing the number of eye shadows in the bag by the total number of cosmetics in the bag.
There are 4 eye shadows in Gabby's bag, and a total of 20 cosmetics. Therefore, the probability of selecting an eye shadow is:
P(eye shadow) = 4/20 = 1/5
This means that there is a 1 in 5 chance, or a 20% chance, that a randomly selected makeup item from Gabby's bag will be an eye shadow.
The probability can be expressed as a fraction or a whole number, depending on the context of the problem. In this case, we can express the probability as the fraction 1/5, which means that out of 20 possible cosmetics, only 4 are eye shadows.
We can also express the probability as the whole number 0.2 or 20%, which represents the proportion of eye shadows in Gabby's bag.
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This line plot shows the estimated amount of glue needed for summer projects at a camp. eric chose to complete a project with the greatest estimated amount of glue needed. the actual amount of glue he used was 3/4 of the estimated amount. how much glue did eric use for his project? enter your answer in the box as a mixed number in simplest form.
The amount of glue that eric used for his project is [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]
How to interpret the line plot?The interpretation of the line plot involves a careful approach to how a series of data points are connected on coordinate planes.
From the Glue for summer project line plot:
The greatest estimated amount of glue needed can be seen at = 2 (1/4)The actual amount of glue needed = 3/4 of 2 (1/4)The amount of glue Eric used for the project is;
[tex]\mathbf{=\dfrac{3}{4}\times 2\dfrac{1}{4}}[/tex]
[tex]\mathbf{=\dfrac{3}{4}\times \dfrac{9}{4}}[/tex]
[tex]\mathbf{=\dfrac{27}{16}}[/tex]
[tex]\mathbf{= 1\dfrac{11}{16}}[/tex]
Therefore, we can conclude that the amount of glue used by Eric for this project is: [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]
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How many rational numbers lie between any two fractions?
Answer:
Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of qp where p and q are integers and q =0.
Calculate the area of the following composite figure. (Please i need help with this)
The area of the composite shape in the diagram given is: 100 square inches.
How to Find the Area of a Composite Figure?Area of a composite figure = sum of the areas of the shapes that make up the figure.
Area of the composite shape = 2(area of triangle) = 2(1/2bh)
Area of the composite shape = 2(1/2×10×10)
Area of the composite shape = 100 square inches.
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A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.
The area of the triangle is 608 cm².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the triangle, we use the formula below.
Formula:
A = bh/2............................ Equation 1Where:
A = Area of the triangleb = Base of the triangleh = Height of the triangleFrom the question,
Given:
b = 2ac²If
a = 4, c = 2b = (2×4×2²) = 32 cmh = (32+6) = 38 cmSubstitute these values into equation 1
A = (32×38)/2A = 608 cm²Hence, the area is 608 cm².
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Evaluate the following numerical expressions.
a. 2 × 5 + 3 × 2 + 4
b. 2 × (5 + 3 × 2 + 4)
30
c. 2 × 5 + 3 × (2 + 4)
d. 2 × (5 + 3) × 2 + 4
e. (2 × 5) + (3 × 2) + 4
f. 2 × (5 + 3) × (2 + 4)
Can the parentheses in any of these expressions be removed without changing the value of the expression? Explain why or why not.
Answer:
Step-by-step explanation:
A. 20
B. 20 (what is the 30 thing)
C. 28
D. 36
E. 20
F. 96
Pretest: Unit 8
Question 12 of 13
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
A. The square root function is the quadratic function reflected across
the y-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
C. The square root function is the quadratic function reflected across
the x-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
graph y=x^2 and y=√x and y=x
graph is attached
gathmath
Calculate the volume of a cube of length 8 m
Answer:
V =512 m^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 8^3
V =512 m^3
Question 7(Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
The value of k based on the information given will be k = 2.
How to calculate the value?It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).
The slope of x will be:
= (4 - 0)/(0 + 4)
= 4/4
= 1
By using slope point form, y = kx + 4.
Substitute x = 2.
g(-2) = -2k + 4 = 0
2k = 4
k = 4/2 = 2
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If triangle abc and triangle def are similar, then their corresponding sides are proportional. if , then . answer the following questions what is the hypothesis? what is the conclusion? what is the converse? is it true? if the converse is not true, give a counter-example. what is the inverse? is it true? what is the contrapositive? is it true?
The answer to the questions are given below.
What are Similar Triangles ?The triangles which do not have same side length or angles but are similar in appearance are called similar Triangles .
It is given in the question that
If triangle abc and triangle def are similar, then their corresponding sides are proportional.
The hypothesis is
if the triangle abc and def are similar
The conclusion is
that the triangle abc and def are similar and the sides corresponding are proportional.
The converse is
If the sides of two triangles are proportional then two triangles are similar
Yes it is true
Inverse is if the two triangles are not similar then the sides corresponding are not proportional.
Contrapositive statement is if the sides are not proportional then the two triangles are not similar.
Yes , it is true.
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Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.
The two white squares are the same size.
AB = 8x.
The sides of the square are tangents to the circle at the points E, F, G and H.
W, X, Y and Z are the midpoints of AB, BC, CD and DA respectively.
Work out the ratio of the area of the black circle to the area of the white square to the area of the grey square. Give your answer in its simplest form.
Hi, I don't understand this. Can someone please explain? It's 50 points.
The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2
How to determine the ratio of the areas?The side length AB is given as:
AB = 8x
The area of the white square is calculated as
White = (AB)²
This gives
White = (8x)²
Evaluate
White = 64x²
The side length AB represents the diameter of the black circle.
So, the radius is:
r =AB/2
This gives
r = 8x/2 = 4x
The area is then calculated as:
Circle = πr²
This gives
Circle = π(4x)²
Evaluate
Circle = 16πx²
Next, calculate AW and AZ using:
AZ = AW = AB/2
Evaluate
AZ = AW = 8x/2 = 4x
Calculate WZ using the following Pythagoras theorem
WZ² = AW² + AZ²
This gives
WZ² = (4x)² + (4x)²
Evaluate
WZ² = 2(4x)²
Take the square root of both sides
WZ = 4x√2
The area of the gray square is:
Gray = WZ²
This gives
Gray = 2(4x)²
Evaluate
Gray = 32x²
At this point, the areas are:
White = 64x²Circle = 16πx²Gray = 32x²The ratio is then represented as:
Ratio = Circle : White : Gray
This gives
Ratio = 16πx² : 64x² : 32x²
Divide through by 16x²
Ratio = π : 4 : 2
Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2
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Find the geometric mean of 5 and 8. Write your answer in the simplest radical form.
Answer:
First, multiply 5 and 8. That equals 40. Then you take the square root of 40, which doesn't result in a whole number, so you factor 40 and removing perfect squares. In which case the answer would be 2√10
The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold?
The income that's made based on the equation when 1 comb is sold is $0.5.
How to calculate the price?From the information given, the equation is given as y = x/2. In this case, it was illustrated that the income is depicted based on the combs sold.
Therefore, the income by selling 1 comb will be:
y = 1/2
y = $0.5
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C. If f(4x+5)=12x+18 then find f¹(x).
If f¹ is supposed to say f⁻¹ : rewrite f(4x + 5) as an "obvious" function of 4x + 5, then replace 4x + 5 with x. By "obvious", I mean make it clear how 4x + 5 is the argument to f.
[tex]f(4x+5) = 12x+18 = 3 (4x + 6) = 3 (4x + 5 + 1) = 3 (4x + 5) + 3[/tex]
Then swapping out 4x + 5 for x gives
[tex]f(x) = 3x + 3[/tex]
The inverse of f(x), if it exists, is a function f⁻¹(x) such that
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Evaluate f at f⁻¹ and solve for f⁻¹ :
[tex]f\left(f^{-1}(x)\right) = 3 f^{-1}(x) + 3 = x \implies \boxed{f^{-1}(x) = \dfrac{x-3}3}[/tex]
If f¹ instead means f' (as in the first derivative of f) : earlier we found f(x) = 3x + 3, and differentiating this is trivial.
[tex]f(x) = 3x+3 \implies f'(x) = 3[/tex]
find the value of "w" that makes this quadrilateral a parallelogram.
Answer:
w=7
Step-by-step explanation:
A parallelogram is defined as a four-sided plane rectilinear figure with opposite sides parallel. This means that GH and FE must be equivalent, and HE and GF must be equivalent. Now, we just use those equations to solve.
16w-63=7w
9w-63=0
9w=63
w=7!!!
and we can double check.
16w-81=15w-74
16w=15w+7
w=7
Which answer shows 0.00897 written in scientific notation?
0.897 times 10 Superscript negative 2
8.97 times 10 Superscript negative 3
8.97 times 10 Superscript negative 2
8.97 times 10 Superscript 3
Answer:
8.97 × 10-3
Step-by-step explanation:
you move the decimal so its a number between 1 and less than 10 so we moved the decimal three spaces.
Answer:
its B
Step-by-step explanation:
5• (4 • x ) simplified
Step-by-step explanation:
= 5 • ( 4• x )
= 5 ( 4x )
= 20x
[tex]...[/tex]
A van can ferry a maximum of 12 people.By setting up an inequality , find the minimum number of vans that are needed to ferry 80 people.
Answer:
Given a bus can ferry a maximum of 12 people .by setting up an inquality find minimum number of bus that are needed to ferry 80 people
Given a bus can carry a maximum of 12 people. We need to find minimum number of buses to carry 80 people.
Now 12 people can go in 1 bus.
Therefore 1 person can go in 1/12 bus
Now 1 person can go in 1/12 bus
Therefore 80 people can travel in 1/12 x 80
= 6.6
= 7
Therefore minimum buses needed will be 7
Now we can write inequality as 12 x x > = 80
Or x ≥ 80 / 12
or x > = 6.6
Step-by-step explanation: Hopes it help
Please mark my answer as a brainliest!
Simplify the expression to yield a quadratic trinomial in standard form.
6x(x-4)-(3x− 2)
Step-by-step explanation:
6x² - 24x - 3x + 2
6x² - 27x + 2
(Please help!!!)
Select the correct answer.
Simplify the following expression.
3x(4x-3)
A. 12+ 13x
B. 12x²-5x
C. 12x² + 5x
D. 12x²-9x
In a class of 75 students, 50 like visiting and 50 like Picnic. If each student like at least one activity, using Venn diagram, find the number of students who like both.
please help me with this question.
If each student like at least one activity, the number of student that like both is 25
How to solve Venn diagram?The class have 75 students.
50 like visiting and 50 like picnic.
Therefore, if each student like at least one activity, the number of student that like both can be calculated as follows;
let
x = student that like both
75 = 50 + 50 - x
Therefore,
75 = 100 - x
75 - 100 = -x
-25 = -x
x = 25
Therefore, the number of students who like both are 25.
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