Answer:
Step-by-step explanation:
Square, Irregular shape
Solve the problem using an equation and check the solution.
1. Bank teller Darrin Wentworth counted a deposit with 72 five-, ten- and one-hundred-dollar bills. After counting, Darrin found that the value of the bills was $3,500. He noticed that there was an equal number of five- and ten-dollar bills. How many of each bill was in the deposit?
Answer:
Step-by-step explanation:
20 5 dollar
20 10 dollar
32 hundred dollar
Mrs. Jones makes scented candles and wax warmers. The table shows the ratio of the number of candles to the number of wax warmers she makes. Candles 7 14 21 28 77 OC. 55 OD. 75 Wax Warmers 5 10 15 20 ? How many wax warmers will she make when she makes 77 candles? O A. 69 O B. 40
Mrs. Jones will make 55 wax warmers when she produces 77 candles.
The given table shows the ratio of the number of candles to the number of wax warmers she makes.
Let's assume that "x" wax warmers will she make when she makes 77 candles
According to the given question, we can write the ratio would be as:
7 Candles : 5 Wax Warmers = 77 Candles : x Wax Warmers
⇒ 7/5 = 77/x
⇒ 7x = (77)(5)
Divided by 7 on both sides of the above equation,
⇒ x = (77)(5)/7
⇒ x = 11 × 5
Apply the multiplication operation, we get
⇒ x = 55
Thus, when she makes 77 candles, she will also produce 55 wax warmers.
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A andwich hop erve 4 ounce of meat and 3 ounce of cheee on each andwich. After making andwiche for an hour the hop owner ha ued 91 combined ounce of meat and cheee
How many combined ounce of meat and cheee are ued on each andwich?
The combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.
We have the following information:
A sandwich hop serve 4 ounce of meat and 3 ounce of cheese on each sandwich. After making sandwiches for an hour the hop owner has used 91 combined ounce of meat and cheese.
Now, we know the combined ounces of meat and cheese for 1 sandwich will be given as follows:
Ounces of meat + ounces of cheese
4+3
7 ounces
Now, in an hour 91 ounces of combined cheese and meat are used.
So, we have the following expression:
Number of sandwiches made in 1 hour = Total ounces used/ounces used in 1 sandwich
Number of sandwiches = 91/7
Number of sandwiches = 13
Ounces of meat used in 13 sandwiches = 13*4
Ounces of meat used in 13 sandwiches = 52 ounces
Ounces of cheese used in 13 sandwiches = 13*3
Ounces of cheese used in 13 sandwiches = 39 ounces
Hence, the combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.
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Nicholas wants to buy a new computer that is on sale for $899. His parents will loan him the money if he repays them. He has $234 in his savings account and plans to work as a camp counselor to earn money during the summer. If he earns $35 per day, how many days will Nicholas have to work in order to fully repay his parents?
Answer: He will work for 19 days.
Step-by-step explanation:
If Nicholas has 234 dollars and the computer he wants to put is 899 dollars, you have to subtract to see how much he has to take the loan from his parents in order to buy the computer.
899 - 234 = 665
He took a loan of 665 dollars from his parents
To figure out how many days he needs to work to pay that amount, you divide the amount he earns each day with the amount of loan he took.
So 665 divided by 35 = 19
He has to work 19 days to pay off the 665 dollar loan he took from his parents.
We can check this answer by multiplying 35 x 19 , which equals to 665.
Hope this helps!
A relation i plotted a a linear function on the coordinate plane tarting at point A (0, 3)and ending at point B (2, 7). What i the rate of change for the linear function and what i it initial value? Select from the drop-down menu to correctly complete the tatement. The rate of change i Chooe. And the initial value i Chooe.
The rate of change is 2 and initial value is 3.
Given points A (0,3) B(2,7)
What is the slope of line joining between point A and point B
if let's suppose A(x1,y1) B(x2,y2)
then slope(m) = y2-y1/x2-x1
x1=0,y1=3
x2=2 y2= 7
slope(m) = 4/2 = 2
The ratio between the change in the values of the y variables and the change in the values of the x variables is known as the rate of change. The rate of change is the slope of the line if the rate of change is linear and constant.
Rate of change of linear function is also know as slope of that linear function.
So here slope itself is the rate of change.
Initial value is 3 as Coordinate of A is (0,3).
Given Question is incomplete Complete Question here
A relation is plotted as a linear function on the coordinate plane starting at point A (0, 3)and ending at point B (2, 7) .
What is the rate of change for the linear function and what is its initial value?
Select from the drop-down menus to correctly complete the statements.
The rate of change is____ and the initial value is___ .
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stella opens her bank account with $500. She deposits $40 each month into the account. What function shows the amount in Stella's bank account after m months?
Answer:
f(x) = 500+40m
Step-by-step explanation:
500 = initial
40m because she deposits 40 each month
A runner runs 2 miles in 9.56 minutes. How many meters per second is this? Explanation please
Thank you!
Answer: 2 miles
Step-by-step explanation:
Mrs. Rao pays the same amount each month for Internet service.She is making a graph to show the amount that she pays over time.
Given graph will be a line parallel to [x] axis.
What is the equation of a straight line? What do you mean by domain and range of a linear function?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have Mrs. Rao pays the same amount each month for Internet service.
Assume that he pays amount [k], each month. Then, we can write the equation representing the graph as -
y = k
The graph will be a line parallel to [x] axis.
Therefore, the given graph will be a line parallel to [x] axis.
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An item is regularly priced at $81. Shen bought it on sale for 45% off the regular price
Use the ALEKS calculator to find how much Shen paid.
For this problem there are $44.55 Shen paid.
What is sale price?
The cost following a discount applied to the original cost. This item is being sold for $8.00. We must first calculate the discount amount if the discount is a percentage: • Original price x discount rate equals the discount amount.
Given:
An item is regularly priced at $81.
Shen bought it on sale for 45% off the regular price.
The formula for calculating the sales price of an item is:
s = p - (p x d)
Where:
s is the sales price: what we are calculating in this problem.
p is the regular price of the item: $81 for this problem.
d is the discount rate: 45% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 45% can be written as 45/100.
Substituting and calculating s gives:
[tex]s = 81 - (81 *\frac{45}{100}) \\s = 81 - (36.45)\\s = 44.55[/tex]
s = $44.55
Hence, for this problem there are $44.55 Shen paid.
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what is x + 5x -6 < 12?
Answer:
x<3
Step-by-step explanation:
;)
Which equation would have real zero(s) corresponding to the x-intercept(s) of the graph below?
-2-
Oy=-2² +4
O y= 2²
Oy-log₂ (x+2)+1
Oy-log₂ (x+2)
Answer:
A
Step-by-step explanation:
y = - 2² + 4
y = - 4 + 4
y = 0
(2,0)
The equation that has a real zero at x = 2 is y = -[tex]2^x[/tex] + 4.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The graph shows an x-intercept at x = 2, which means that the function has a real zero at x = 2.
Now,
We can check which of the given equations has this property by plugging in x = 2 and seeing if the corresponding y-value is zero.
For y = [tex]-2^x[/tex] + 4,
y = -2² + 4 = 0
This equation has a real zero at x = 2.
For y = 2^x,
y = 2² = 4,
This equation does not have a real zero at x = 2.
For y = log₂(x + 2) + 1,
y = log₂(2 + 2) + 1 = log₂4 + 1 = 3
This equation does not have a real zero at x = 2.
For y = log₂(-x + 2),
-x + 2 < 0, which means that x > 2.
This equation does not have a real zero at x = 2.
Therefore,
The equation that has a real zero at x = 2 is y = -[tex]2^x[/tex] + 4.
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A figure i made up of a emicircle and triangle. The diameter of the emicircle i 10ft, the bae of the triangle i 8 ft and the height i 6 ft. What i the area of the figure
The area of the figure that is made up of a semicircle and a triangle is 63.25 square feet .
In the question ,
it is given that ,
a figure is made up of a semicircle and a triangle ,
the diameter of the given semicircle is = 10 ft ,
So , the radius of the given semicircle is = 10/2 = 5 ft .
hence the area of the semicircle will be = (πr²/2)
= 3.14×(5)²/2
= 39.25 square feet
the base of the triangle is given to be = 8 ft ,
the height of the triangle is given to be = 6 ft ,
So , the area of the triangle is = (1/2)×b×h = (1/2)×8×6 .
= 4 × 6
= 24 square feet .
So , the area of the figure = area of semicircle + area of triangle
= 39.25 + 24
= 63.25 .
Therefore , the area of the figure is = 63.25 square feet .
The given question is incomplete , the complete question is
A figure is made up of a semicircle and triangle. The diameter of the semicircle is 10ft, the base of the triangle is 8 ft and the height is 6 ft. What is the area of the figure ?
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Kelli walk no more than 25 dog on Monday. M. Lincoln ha 5 dog that Kelli walk. The inequality hown can be ued to find x, the number of dog Kelli can walk on Monday in addition to M. Lincoln' dog. X 5 25 Which inequality repreent all poible value of x?
All potential values of x are represented by the inequality x≤20.
What is inequality?A mathematical statement that demonstrates the equality of two expressions is known as an equation, whereas a statement that demonstrates the greater or smaller value of one expression is known as an inequality.
An inequality displays the difference between two variables, whereas an equation displays the equivalence of two variables.
So, the inequality that also represents all the possible values of x is:
On Mondays, Kelli walks no more than 25 dogs.
Also, Ms. Lincoln's five dogs are walked by Kelli.
Along with Ms. Lincoln's dogs, the inequality to determine how many additional dogs Kelli walks on Monday is written as:
x+5 ≤ 25
Take 5 away from both sides.
x + 5 - 5 ≤ 25 - 5
x ≤ 20
Therefore, all potential values of x are represented by the inequality x≤20.
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Complete question:
Kelli walks no more than 25 dogs on Mondays. Ms. Lincoln has 5 dogs that Kelli walks. The inequality shown can be used to find x, the number of dogs Kelli can walk on Monday in addition to Ms. Lincoln's dogs. x + 5 25 Which inequality represents all possible values of x?
help please this is confusing me i only need number 7
Answer:
24.98 units
Step-by-step explanation:
You want the perimeter of triangle ABC with vertices A(-5, 4), B(1, -2), and C(3,6).
Distance formulaThe distance between two vertices can be found using the formula ...
d = √((x2 -x1)² +(y2 -y1)²)
ApplicationThe distance between A and B is ...
d = √((1 -(-5))² +(-2 -4)²) = √(6² +(-6)²) = 6√2 ≈ 8.485
The attached spreadsheet performs the same calculation on all the pairs of points. (The distance from each point to the one below it is listed.)
PerimeterThe perimeter of the triangle is the sum of the segment lengths. That is also shown in the spreadsheet.
P = AB +BC +CA
P = 8.485 +8.246 +8.246 ≈ 24.98
The perimeter of triangle ABC is about 24.98 units.
__
Additional comment
When calculations are repetitive, we like to let a spreadsheet do them.
whenever a probability sample is drawn from a population, it is not enough to simply report the sample's descriptive statistics, for these measures contain a certain degree of error due to the sampling process. true false
Whenever a probability sample is drawn from a population, it is not enough to simply report the sample's descriptive statistics, for these measures contain a certain degree of error due to the sampling process.
Thus the answer is ‘ true’.
A population is any entire group that has at least one trait in common that is relevant to a given issue or experiment in statistics.
A probability sample is one that is drawn using a method of random selection that is compatible with the known odds for each member of the population to be selected, and that takes these probabilities into account when generating estimates from the sample.
If the chosen sample does not accurately reflect the total population of data, there has been a sampling error, which is a statistical error resulting from sampling.
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Madelyn is throwing a pizza party. She has 6 pounds of cheese available and she
needs 1/2 pound of cheese to make each pizza. How many pizzas can she make?
Answer:
She can make 12 pizzas
Step-by-step explanation:
There are 2 halves in a pound, so you'll need to do 6 × 2 = 12.
Complete the quadratic polynomial by filling in the number that makes it a perfect-square.
\mathrm{x}^{2} + 18 \mathrm{x} +x
2
+18x+
To make the quadratic polynomial x² + 18x into a perfect square, we add 81 to it.
What is a quadratic polynomial?A quadratic polynomial is a polynomial in which the highest power of the unknown is 2.
What is a perfect square?A perfect square is a number suvh that it is equal to another number multiplied by itself
How to make the quadratic polynomial a perfect square?Since we have the quadratic polynomial x² + 18x, and we wnat to convert it to a perfect square.
To be a perfect square, we want it in the form (x + a)² = x² + 2ax + a² (1)
Compring the quadratic polynomial with equation (1), we have that
2a = 18
a = 18/2
a = 9
⇒ a² = 9² = 81
So, substituting a = 9 into equation (1), we have
(x + a)² = x² + 2ax + a²
(x + 9)² = x² + 2(9)x + 9²
= x² + 18x + 81
Thus we see that to make x² + 18x into a perfect square, we add 81 to it.
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Find m
T 9 V 9 U 9
m
The measure of angle V i.e. [tex]m\angle V[/tex] is [tex]60^\circ[/tex].
For the triangle TUV ([tex]\triangle TUV[/tex]), all the sides are of same length i.e. 9. So we can consider this as an equilateral triangle.
We know for an equilateral triangle all of the angles are of same measure.
Now the sum of all angles of a triangle is [tex]180^\circ[/tex] and there are 3 angles in a triangle. So, each angle will be of measure [tex]60^\circ[/tex].
Therefore the measure of [tex]\angle V[/tex] i.e. [tex]m\angle V[/tex] is [tex]60^\circ[/tex].
Also the basic three properties of an equilateral triangle are:
All three sides are equal.All three angles are equal.The figure has three lines of symmetry.To learn more about angles,
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JUSTIFY REASONING Consider the conjecture if two points are equidistant from a third point, then the three points are collinear is the
conjecture true or false? Justify your argument. If false, give a counterexample.
Select Choice if the two points create a straight angle that includes the third point, then the conjecture is Select ChoiceIf the two
points do not create a straight angle with the third point, then the conjecture is Select Choice
It is a supposition that it is true if two points are equally far apart from a third point and the three points are collinear.
Collinear points are what?If three or more points lie on a single straight line, they are said to be collinear. An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two points determine a line, two points are trivially collinear.
Collinear points are those that are situated along a identical straight line.
The supposition is correct since all three points are located on the same line.
if the two points create a straight angle that includes the third point, then the conjecture is true.
If the two points do not create a straight angle with the third point, then the conjecture is false.
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Quick question, how would you answer if someone tells you : "keep dreaming :)"
If someone tells me "keep dreaming :)", I would likely respond by thanking them for their encouragement and expressing my determination to continue pursuing my dreams. I might also share some of my aspirations and plans for achieving them, and encourage the other person to do the same. Depending on the context and tone of the conversation, I might also make a joke or offer a playful response, such as "I will, and I'll make sure to dream big!"
can anyone help me with the 5"c" and "d"
Answer:
see explanation
Step-by-step explanation:
(c)
ratio of
boys : total students
= 182 : 260 ( divide both parts by 26 )
= 7 : 10
number of girls = 260 - 182 = 78
ratio of
girls : total students
= 78 : 260 ( divide both parts by 26 )
= 3 : 10
HELP THIS IS MY LAST QUESTION
Answer:
associative property of multiplication
Step-by-step explanation:
A parent function is a linear function of the form y=b.
True false question.
True
False
Answer: True
Step-by-step explanation:
If I remember not to mistake y=x is the parent functions. So y=b is the parent function! So this question is true.
i need help in this asap✋✋✋✋✋
By using the property of congruency of triangles,
[tex]\angle V \cong \angle S[/tex] has been proved
What is congruency of triangles?
Two triangles are said to be congruent if the corrosponding angles are equal and the corrosponding sides are equal.
There are different axioms of congruency. They are
SSS axiom, SAS axiom, AAS axiom, ASA axiom, RHS axiom
UV [tex]\cong[/tex] ST [Given]
QR [tex]\cong[/tex] PQ [Given]
QT [tex]\cong[/tex] QU [Given]
PV [tex]\cong[/tex] RS [Given]
PT = PQ + QT [Additive Property of Length]
RU = QR + QU [Additive Property of Length]
PT = QR + QU [Substitution]
PT = RU [Transitive Property of Equality]
TV = UV + TU [Additive Property of Length]
SU = ST + TU [Additive Property of Length]
TV = ST + TU [Substitution]
SU = TV [Transitive Property of Equality]
[tex]\angle[/tex]SUR [tex]\cong[/tex] [tex]\angle[/tex]VTP [QT = QU]
[tex]\Delta USR \cong \Delta TVP[/tex] [SAS axiom]
[tex]\angle V \cong \angle S[/tex] [Corrosponding parts of congruent triangles are congruent]
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how would this two triangles be called
The triangles ΔUST and ΔVRQ are congruent to each other by the SSS postulates.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔUST and ΔVRQ, then we have
TU = QV (Given)
ST = QR (Given)
UV = SR
Add RU on both sides, then we have
UV + RU = SR + RU
RV = SU
The triangles ΔUST and ΔVRQ are congruent to each other by the SSS postulates.
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The question is in the image
Answer:
The length of side B is 6.25, The length of side A is 8.75, The scale factor is 0.25
Step-by-step explanation:
Divide the left side of the first model by the left side of the scaled version
60 / 15 = 4
divide side A and B by the result
35 / 4 = 8.75
25 / 4 = 6.25
Hi Can some solve this with steps please
Answer:
- 51
Step-by-step explanation:
substitute x = - 2 into the expression
2x³ - 4x² + 8x - 3
= 2(- 2)³ - 4(- 2)² + 8(- 2) - 3
= 2(- 8) - 4(4) - 16 - 3
= - 16 - 16 - 19
= - 32 - 19
= - 51
Help and wright a step by step explanations
Answer:
The total surface area is 3860 ft^2
The total volume is 22,500 ft^3
Step-by-step explanation:
See attached worksheet.
The house needs to be broken up into separate rectangles and triangles, as shown on the worksheet. Individual calculations of the area and volume are then added for a total number for both volume and surface area.
Variable costs of producing widgets include the cost of gas required to deliver the widgets to retailers. A widget producer finds the average cost of gas per widget. The expense equation was recently adjusted from E = 4.55q + 69,000 to E = 4.98q + 69,000 in response to the increase in gas prices.
a. Find the increase in the average cost per widget. Round to the nearest cent.
b. If the widgets are sold to retailers for $8.00 each, find the breakeven point prior to the adjustment in the expense function.
(unit)
($) (do not use commas in numbers over 1,000)
c. After the gas increase, the company raised its wholesale cost from $8 to $8.50. Find the breakeven point after the adjustment in the expense function. Round to the nearest integer.
(unit)
($) (do not use commas in numbers over 1,000)
The breakeven point after the adjustment in the expense function.
What is the revenue?
Revenue is the total amount producers receive after selling a good. Profit is the total amount producers earn after subtracting the production costs.
Revenue is the product of the number of units and the price per unit. It is given by:
Revenue = number of units * price per unit
Revenue = x * p(x)
Revenue = 8q Expense = 4.55q + 69,000
To find the breakeven point Revenue = Expense
8q = 4.55q + 69,000 3.3.45q = 69,000 q = 20,000
Equate both and find q
E = 4.55(20,000) + 69,000 = 160,000
E at q = 20,000
(20,000, 160,000)
Hence, the breakeven point after the adjustment in the expense function.
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based on the angle measures list the sides (AB,BC, and AC). In order from shortest to longest:
Order of Sides from smallest to largest is AC, BC , AB.
What is the order of Angles and Sides in a Triangle ?Finding the Triangle's Angles and/or Sides in Order of Largest to Smallest
Step 1: As stated in the issue, sort the supplied angles or sides in the order of smallest to greatest or largest to smallest.
If the sides are supplied in the issue and we are requested to arrange the angles, step 2 is to find the angles that are opposite the given sides.
If the problem specifies the angles and asks us to arrange the sides, find the sides that are perpendicular to the provided angles.
The sides opposing the angles will be listed in the same sequence as step 1's first-identified sides. Therefore, the side across from the biggest angle will be the largest, and the side across from the smallest angle will be the smallest. The angles opposing the sides will also be in the same sequence as those found in step 1 for the angles. As a result, the angle opposite the side with the greatest length will be the largest, while the angle opposite the side with the lowest length will be the smallest.
angle B is smallest , so the smallest side is opposite side of angle B i.e AC.
Again angle C is largest so similarly AB is the largest.
Order of Sides from smallest to largest is AC, BC , AB
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