Answer:
a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.
For Clear Prints: Cost(p) = 2pFor Sue: Cost(p) = 15 + 0.50pb. For what number of posters is the cost the same for both companies?
10 postersc. Which company do you think the class should buy posters from?
if the number of posters is less than 10 they should use Clear prints, because it costs is lower than Sue's.If the number of posters is equal to 10, the cost is the same with both companiesIf the number of posters is greater than 10 they should select Sue.d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?
Clear Printe. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?
Yes, in this case the class must order the posters from Sue.What factors influenced your decision?
The budget and the charges of each company/Explanation:
a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.
Clear prints
Call p, the number of posters. The cost is the number of posters, p. times the unit cost per poster ($2):
Cost(p) = 2pSue
Using the same variable, p, for the number of posters, the cost is the flat rate, $15, plus the number of posters multiplied by the unit cost per poster, $0.50:
Cost(p) = 15 + 0.50pThe equations fhat Ichiro could use to calculate the cost for any number of posters, are:
For Clear Prints: Cost(p) = 2pFor Sue: Cost(p) = 15 + 0.50pb. For what number of posters is the cost the same for both companies?
Solve the system: equate both equations:
2p = 15 + 0.50p2p - 0.50p = 151.50p = 15p = 15/1.50p = 10
Conclusion: For 10 posters the cost is the same for both companies.
c. Which company do you think the class should buy posters from?
It depends on the budget and the number of posters desired.
You can calculate the range in which the cost is lower by one company of the other.
You already know that if you are ordering 10 posts, the cost is the same for both companies.
How much is that cost? Compute Cost (10):
Cost(10) = $2(10) = $20What happens if the number of posters is less or greater than 10.
Solve an inequality:
2p < 15 + 0.50p2p - 0.50p < 151.50p < 15p < 15 /1.50p < 10Hence,
if the number of posters is less than 10 they should use Clear prints, because it costs is lower than Sue's.If the number of posters is equal to 10, the cost is the same with both companiesIf the number of posters is greater than 10 they should select Sue.d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?
In this case the decision is driven by the buget.
How may posters can the class order to pay $18?
With Clear Prints:
18 = 2pp = 18 / 2 = 9 postersWith Sue:
18 = 15 + 0.5p0.5p = 18 - 150.5p = 3p = 3 / 0.5p = 6 postersThen, with a budget of $18, the class should buy posters from Clear Print.
e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?
Repeat the calculations:
For Clear print:
18 + 20 = 2pp = 38 / 2 = 19 postersFor Sue:
18 + 20 = 15 + 0.50p0.50p = 38 - 150.50p = 23p = 23 /0.5 = 46 postersWith a budget of $38 the class can buy more posters from Sue.
What factors influenced your decision?
The budget and the charges are the factors that influence the decision. Once you know the charges from each company, you can calculate the number of posters the class can order from each one, with a given budgent, and then make the best decision (economically speaking).The charges have two components that constitute the total cost: a flat fee (in the case of Sue) and a unit cost (in both cases).
Niles factored 10yz+25xz as 5x(2z+5z). Find his mistake and correct it.
What is 1/6÷7/8 as a fraction in lowest terms
Answer:
the answer is 5 1/4
Step-by-step explanation:
because u flip it then multiply then u get ur answer
To divide 1/6 and 7/8, we first find the reciprocal of 7/8 which is 8/7, then multiply 1/6 by 8/7 to get 8/42. We simplify this fraction to lowest terms by dividing both the numerator and denominator by their GCD, which is 2, to get the final result, 4/21.
Explanation:This mathematics question is asking you to divide two fractions, which is 1/6 and 7/8. To do this, you would multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is achieved by switching the numerator and the denominator.
In this case, the reciprocal of 7/8 is 8/7. So, the equation becomes 1/6 * 8/7, which simplifies to 8/42. But this is not in lowest terms. To find the fraction in lowest terms, you would find the Greatest Common Divisor (GCD) of the numerator and the denominator. In this case, the GCD of 8 and 42 is 2.
Dividing both the numerator and denominator by 2, we get 4/21, which is the fraction in lowest terms.
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Today a father's age is five times his son's age. Exactly three years ago, the sum of their ages was 30. How old is the son today?
Today the age of sun is 6 years.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
Father's present age is five times of his son's age.
Let son's age is x years,
Then father's age will be 5x.
Also, three years ago the sum of their ages was 30.
Three years ago the age of son and father will be x - 3 and 5x - 3.
Since, the sum = 30
x - 3 + 5x - 3 = 30
6x - 6 = 30
6x = 36
x = 6
The age of son is 6 years.
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Plz answer this and explain how
Answer:
Option H, π/3 and 2π/3
Step-by-step explanation:
sin x = sqrt(3) / 2
It happens at 60 degrees and 120 degrees. In radians, it is π/3 and 2π/3
Answer: Option H, π/3 and 2π/3
otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hour plus $30 for supplies. The equations give the total cost for x hours of work for each painter. For how many hours of work are Otis's and Shireen's costs equal? what is the cost for this number of hours?
Y= 45x + 75 - Otis
Y= 55x + 30 - Shireen
Answer:
For 4.5 hours of work Otis's and Shireen's costs are equal
The cost for this number of hours is $277.5
Step-by-step explanation:
Let
x ----> the number of hours
y ----> the total cost
we have
Otis
[tex]y=45x+75[/tex] ----> equation A
Shireen
[tex]y=55x+30[/tex] -----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (4.5,277.5)
see the attached figure
therefore
For 4.5 hours of work Otis's and Shireen's costs are equal
The cost for this number of hours is $277.5
Solve this equation -8-x=x-4x
Answer:
x=4
Step-by-step explanation:
-8-x=x-4x
Combine like terms
-8 -x =-3x
Add x to each side
-8 -x+x = -3x+x
-8 = -2x
Divide each side by -2
-8/-2 = -2x/-2
4 = x
can you pls help me out? i would sincerely appreciate it!!
Step-by-step explanation:
Step 1: Given
BD bisects ∠ADC
Step 2: Given
BD ⊥ AC
Step 3: Corresponding Parts of Congruence Triangles are Congruent
∠1 ≅ ∠2
Step 4: By definition of perpendicular
∠ABD = ∠CBD = 90° (BD ⊥ AC )
∠3 and ∠4 are right angles.
Step 5: By CPCTC,
∠3 ≅ ∠4
Step 6: Reflexive postulate
Any side or angle is reflexive to itself.
DB ≅ DB
Step 7: ASA postulate
∠1 ≅ ∠2 (A), DB ≅ DB (S) and ∠3 ≅ ∠4 (A),
∴ ΔABD ≅ ΔCBD (by ASA)
Step 8: By Corresponding Parts of Congruence Triangles are Congruent
DA ≅ DC
Step 9: Opposite sides of a triangle are equal.
ΔACD is isosceles.
Hence proved.
Which factor makes capitalism such a successful economic system?
Business owners have the right to take private property from citizens if it benefits the overall economy.
Banking regulators work to limit the possibility of economic problems.
Individual citizens have the freedom to take risks and improve their lives.
Public corporations make jobs available to those who want them.
Answer:
C. Individual citizens have the freedom to take risks and improve their lives.
Step-by-step explanation:
Find
1. 7.75 ÷ 0.25
2. 25.5 ÷ 3
Answer:
31,
8.5
Step-by-step explanation:
1) 7.75/0.25 = (7.75×100)/(0.25×100)
= 775 ÷ 25
= 31
2) 25.5/3 = (25.5×10)/ (3×10) = 255÷30
= 8.5
I hope this was helpful, please mark as brainliest
if 6% of an amount of money is $30 what would the full amount of money be
Answer:
I'm in my bed sleeping rn, but I an sure it's x*0.06 = 30. Solve for x: x = 30/0.06?
Step-by-step explanation:
If f.ex total amount is 100 dollar, 6% of 100 dollar is 100*0.06. If you solve for the x above, you should get the answer ^^
Consider the transformation shown in the coordinate plane, which statement is NOT TRUE for similarity transformations? A ) A similarity transformation is a composition of a finite number of dilations or rigid motions B) Two figures are similar if there exists a similarity transformation that maps one figure onto the other in a similarity transformation all corresponding pairs ) angles are congruent and all corresponding pairs of sides are congruent a similarity transformation alt corresponding pairs D of angles are congruent and all corresponding pairs of sides are proportional
Answer:
C) angles are congruent and all corresponding pairs of sides are congruent a similarity transformation alt corresponding pairs
The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.
Explanation:A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation. It is characterized by the property that all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.
The statement that is NOT TRUE for similarity transformations is A) A similarity transformation is a composition of a finite number of dilations or rigid motions.
A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation.
The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.
This means that the angles in the original figure and the transformed figure are equal, and the ratio between corresponding side lengths remains the same.
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(6x-3y - 12
- (2x+2y=10
Answer:
8x - 5y - 13
Step-by-step explanation:
(6x - 3y - 12) - (2x +2y - 10)
(6x - 3y - 12) - 2x - 2y + 10
6x - 3y - 23 - 2x - 2y + 10
8x - 5y - 13
Answer:
4x+y=22
Step-by-step explanation:
6x+3y-12-(2x+2y)=10
Based on BODMAS we will have to deal with the bracket first
6x+3y-12-2x-2y=10
To continue with the solution we will have to collect like terms
That is,
6x-2x+3y-2y=10+12
4x+y=22
This can't be solved further because we don't really know the value of x and y...it can only be solved further by knowing the value of either x or y but we are not given...so we will have to leave our final answer to be
4x+y=22
Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms. A $1 ticket gives an even chance to win $25 gift certificate, one $15 gift certificate, or three $5 gift certificates. What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?
Answer:
A gain of 0.45
Step-by-step explanation:
Hope this helps!
4.5(32÷8)+12
please help me steps por favor
Answer:
30
Step-by-step explanation:
4.5(32÷8)+12
32/4 = 4
4.5 x 4 = 18
18 + 12 = 30
Answer:
30
Step-by-step explanation:
PEMDAS
32/8 =4
4.5*4=18
18+12=30
one serving of punch is 250 milliliters. Will ten servings fit in a 2 liter bowl ?
Answer:
yes
Step-by-step explanation:
To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
Solution:
Given that,
[tex]\text{ product of } 42.12 \text{ and } 10^3[/tex]
Which means,
[tex]42.12 \times 10^3[/tex]
Here, the exponent of 10 is positive ( which is 3)
When the exponent is positive, we have to move the decimal point to right
When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10
Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12
Therefore,
[tex]42.12 \times 10^3 = 42120[/tex]
The probability of drawing a yellow or green marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange marbles.
Final answer:
The probability of drawing a yellow or green marble from a bag with various colored marbles is calculated by adding the individual probabilities of drawing a yellow marble and a green marble. Since there are 8 yellow and 2 green marbles out of a total of 20, the combined probability is 0.5 or 50%.
Explanation:
The question relates to the probability of drawing a yellow or green marble from a bag containing marbles of various colors. To find this probability, we must consider the total number of marbles and the number of yellow and green marbles specifically. If a bag contains 3 blue, 2 green, 8 yellow, 4 red, and 3 orange marbles, the total count of marbles is 20.
The probability of drawing a yellow marble (P(Yellow)) is the number of yellow marbles divided by the total number of marbles, which is 8/20 or 0.4. The probability of drawing a green marble (P(Green)) is the number of green marbles divided by the total number of marbles, which is 2/20 or 0.1.
The combined probability of drawing either a yellow or a green marble is found by adding the individual probabilities because these two events are mutually exclusive (they cannot both happen at the same time). So, the probability of drawing a yellow or green marble (P(Yellow or Green)) is P(Yellow) + P(Green) = 0.4 + 0.1 = 0.5.
Therefore, the probability of drawing a yellow or green marble is 0.5 or 50%.
Find the volume of the three-dimensional figure in terms of x.
Answer:
That is a cylinder and cylinder volume = PI * radius^2 * height
radius = x + 5
height = x
volume = PI * (x + 5)^2 * x
volume = PI * (x^2 + 10x + 25) * x
volume = PI * x^3 + 10x^2 + 25x
Step-by-step explanation:
A square pyramid is shown sitting on its base.
please reply with
The surface area of the pyramid is _____
square centimeters.
Answer:
A = 384 cm²
Step-by-step explanation:
Answer:
h = 8 cm
s = 10 cm
a = 12 cm
e = 11.6619 cm
r = 6 cm
V = 384 cm3³
L = 240 cm²
B = 144 cm²
A = 384 cm²
h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
Formula: A = a(a + √(a² + 4h²))
Answer:
Surface area of the pyramid = [tex]384cm^2[/tex]
Step-by-step explanation:
Area of a Right Square Pyramid:
[tex]=a^2+2a\sqrt{\frac{a^2}{4}+h^2 }[/tex]
The pyramid have base length: [tex]a=12cm[/tex]
Height: [tex]h=8cm[/tex]
Putting the values in the formula:
Area of the Right Square pyramid;
[tex]=12^2+2(12)*\sqrt{\frac{12^2}{4}+8^2 }\\\\ =144+24*\sqrt{\frac{144}{4}+64 } \\\\=144+24*\sqrt{36+64}\\\\ =144+24*\sqrt{100} \\\\=144+24*10\\\\=144+240\\\\=384cm^2\\\\[/tex]
The Surface area of the pyramid is [tex]384cm^2[/tex]
if 1/4x=5-1/2 y what is the value of 8x-1
Answer:
8x - 1 = 159 - 16y
Step-by-step explanation:
1/4x=5-1/2 y what is the value of 8x-1
Beginning from the given equation, we will find the required
Which mean, we will transform the left hand side (1/4 x) to (8x-1)
[tex]\frac{1}{4} x=5-\frac{1}{2} y[/tex] multiply both sides by 4
∴ x = 20 - 2y
multiply both sides by 8
∴ 8x = 8 * ( 20 - 2y)
∴ 8x = 160 - 16y
Subtract 1 from both sides
8x - 1 = 160 - 16y - 1
∴ 8x - 1 = 159 - 16y
So, the value of 8x - 1 = 159 - 16y
What is the property of real numbers illustrated by the equation 2x + 4y = 4y + 2x.
Answer:
Commutative Property of Addition
Step-by-step explanation:
Commutative Property of Addition
a + b = b + a
2x + 4y = 4y + 2x holds Commutative Property of Addition
Use substitution to it
7) 4x – 2y=-22
-x+y=3
Solve for x
1. 3(x - 3) < 2x – 11
If both the integers are negative, then their sum is _____
Answer:
they are always positive
Step-by-step explanation:
they are always positive because two negatives equal a positive.
If both the integers are negative, then their sum is always negative.
We need to find if both the integers are negative, then what is their sum.
What are integers rules?Adding integers is the process of finding the sum of two or more integers. It may result in an increase or a decrease in value, depending on whether the integers are positive or negative or a mixture. The addition of integers is an arithmetic operation performed on integers with the same sign or with different signs to find the sum.
Adding two positive integers always results in a positive value that is greater than both the integers.Adding two negative integers always results in a negative number that is smaller than the given numbers.Therefore, if both the integers are negative, then their sum is always negative.
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HALP PLZ! WILL GIVE BRAINLIEST TO FIRST ANSWER! A health inspector conducts air quality tests on a randomly selected group of 10 classrooms at a high school. Identify the population and sample for this situation. A) The population is all classrooms in the district; the sample is the 10 classrooms selected. B) The population is all classrooms in the high school; the sample is the 10 classrooms selected. C) The population is all students in the district; the sample is the students in the 10 classrooms selected. Eliminate D) The population is all students in the high school; the sample is the students in the 10 classrooms selected.
Answer:B
Step-by-step explanation:On usa test prep
The identification of the population and the sample for the given situation is option B. The population is all classrooms in the high school; the sample is the 10 classrooms selected.
Information regarding the population:Since on a random basis, the 10 classrooms are selected.Si here the population represent the all classrooms is in the high school And the sample should be 10 classrooms selected.Learn more about the population here: https://brainly.com/question/905400?referrer=searchResults
The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?
Let x = the smaller number.
Let y = the larger number.
Which two equations represent the system for this word problem?
Answer:
Equation 1: x + y = 10
Equation 2: y = 4x
Step-by-step explanation:
its right kekkek
Therefore, the equation is of the form
[tex]x+y=10[/tex]
[tex]y=4x[/tex]
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
The sum of two numbers is [tex]10[/tex]. The larger number is [tex]4[/tex] times the smaller number.
Let the smaller number is [tex]x[/tex]
Let the larger number is [tex]y[/tex]
The first equation is [tex]x+y=10[/tex] nad the second equation is [tex]y=4x[/tex].
Hence, the equation is of the form
[tex]x+y=10[/tex]
[tex]y=4x[/tex]
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target sells 25 bottles of water for 3 dollars, and 36 bottles for 4 dollars. Which is a better buy and by how much? PLEASE REPLY ILL GIVE BRAINLIEST
Answer:
36 bottles for 4 is a slightly better deal per bottle.
Step-by-step explanation:
3÷25=0.124÷36=0.11111111The cost per bottle is 0.1111111$ per bottle in the 36 pack.
Answer:
36 bottles for $4
Step-by-step explanation:
First you need to calculate the price for one bottle, the lower the cost, the better buy. Do this by dividing the price by the amount of bottles:
= $3 ÷ 24
= 0.125 cents
= $4 ÷ 36
= 0.111 cents
The cheaper option and the better buy is the 36 bottles for $4.
The martins car traveled 468 miles on 18 gallons of gas. Their car averaged how many miles per gallon.
Answer: 26
Step-by-step explanation: you divide 468 and 18 and you get 26.
A prism whose base is a 9-sided polygon is intersected by a plane. In which case could the cross section be a 10-sided polygon?
The cross-section will be a 10-sided polygon only when the plane makes a narrow angle with the base, i.e. it will cut one base and 8 edges of the prism, resulting in there being 10 points of intersection, leaving a 10-sided polygon as the cross-section.
Answer:
D
Step-by-step explanation:
I took it rate this one
plzzzzzzzzzzzz help asap
Answer:
The equation in slope-intercept form of a line with slope [tex]m\:=-\:\frac{4}{3}[/tex] and y - intercept = -2 will be:
[tex]y=-\:\frac{4}{3}x-2[/tex]
Step-by-step explanation:
As the slope intercept form is given by
[tex]y=mx+b[/tex]
here
m = slopeb = y-interceptAs the given slope is
[tex]m\:=-\:\frac{4}{3}[/tex]
y - intercept = b = -2
so substituting the values in the slope intercept form
[tex]y=mx+b[/tex]
[tex]y=\left(-\:\frac{4}{3}\right)x+\left(-2\right)[/tex]
[tex]y=-\:\frac{4}{3}x-2[/tex]
Therefore, the equation in slope-intercept form of a line with slope [tex]m\:=-\:\frac{4}{3}[/tex] and y - intercept = -2 will be:
[tex]y=-\:\frac{4}{3}x-2[/tex]