Answer:
3rd one
because they r right angles and congruent to each other and for right angle its is used HS postulate
Mr. Braun has $75.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $9.00 each and the drinks cost $0.75 each. Five times as many drinks as pizzas are needed. What is the maximum
number of pizzas that Mr. Braun can buy?
The maximum number of pizzas that Mr. Braun can buy is 5.
The equation that can be used to represent the total amount spent on soda pop and pizzas is:
$75 = 5x($0.75) + x($9)
Where:
x = number of pizzas that can be bought5x = total number of drinks that can be boughtIn order to determine the number of pizzas that can be bought, we have to solve for x
$75 = 3.75x + 9x
$75 = $12.75x
x = $75 / 12.75
x = 5.88
If 6 pizzas are bought, 30 drinks would be bought, the total cost would be:
6($9) + 30(0.75) = $76.50
If 5 pizzas are bought, 25 drinks would be bought, the total cost would be:
5($9) + 25(0.75) = $63.75
A similar question was answered here: https://brainly.com/question/13965560
algebra ii question!
what is the product of 2 x 2 x 3 x 3 using an exponent?
Answer:
2^2 * 3^2
Step-by-step explanation:
2 * 2 * 3 * 3
We are multiplying 2 twos and we are multiplying 2 threes 3^2
The base is the number and the exponent is the number of the times
2^2 * 3^2
Consider the equation as shown:
(x-a)(y-b) = (x-2a)(y- b/2)
x(x + 1/2b) + y(y + a/2) -2xy = 5+(x-y)²
On comparing the coefficient, a student says these pairs of equations is consistent. Is he/she correct? Which of these explains why?
(a) Yes; because they are parallel lines.
(b) No; because they are interesting lines.
(c) Yes; because they are parallel lines.
(d) No; because they are interesting lines.
[tex]\large\underline{\sf{Solution-}}[/tex]
First equation is
[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]
can be further simplified to
[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]
[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]
[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]
[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]
[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]
[tex]\rm \longmapsto\:bx = 2ay[/tex]
[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]
Second equation is
[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]
[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]
[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]
[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]
So, we have two equations in simplest form as
[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]
and
[tex]\rm \longmapsto\:x + aby = 10b[/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]
[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]
[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]
This implies, System of equations is consistent having unique solution.
So, The student is correct as lines are intersecting.
So, option (b) is correct.
The four points A(-1.0). B(3.b). C(a. 2) and D(-2.1) are the vertices of a parallelogram ABCD. find the value of a and b.
Answer:
Step-by-step explanation:
Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!
Answer:
y = -3/7x + 5
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 8 / 7 - (-7)
-6/14
= -3/7
y = -3/7x + b
2 = -3/7(7) + b
2 = -3 + b
5 = b
a 2) Choose the correct name for the set of numbers. . {4 4. 256, 0.888, 26, – 4.0, 81 1.0, 781 4 O natural numbers O irrational numbers integers O whole numbers real numbers O rational numbers
Answer:
irrational numbers integers
solve the inequality 2x + 3 < 7
A. x < 2
B. x > -2
C. x < -2
D. x > 2
Answer:
A. x < 2
Step-by-step explanation:
solution:
=2x<7-3
=2x<4
=x<2
f(x) = 3x + 6 please help quickly!!!!!!!
Given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and [tex]\frac{(f(a + h) - f(a)) }{h}[/tex] by substituting their values into f(x) = 3x + 6. We will have the following:
[tex]\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}[/tex]
Given:
f(x) = 3x + 6We are told to find:
f(a)f(a + h), and[tex]\frac{(f(a + h) - f(a)) }{h}[/tex]1. Find f(a):
Substitute x = a into f(x) = 3x + 6f(a) = 3(a) + 6
f(a) = 3a + 6
2. Find f(a + h):
Substitute x = a + h into f(x) = 3x + 6f(a + h) = 3(a + h) + 6
f(a + h) = 3a + 3h + 6
3. Find [tex]\frac{(f(a + h) - f(a)) }{h}[/tex]:
Plug in the values of f(a + h) and f(a) into [tex]\frac{(f(a + h) - f(a)) }{h}[/tex]Thus:
[tex]\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\[/tex]
Add like terms[tex]\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}[/tex]
Therefore, given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and [tex]\frac{(f(a + h) - f(a)) }{h}[/tex] by substituting their values into f(x) = 3x + 6. We will have the following:
[tex]\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}[/tex]
Learn more here:
https://brainly.com/question/8161429
What is 5.521 rounded to the nearest whole number?
Answer:
6
Step-by-step explanation:
If the first number (in this case, behind the decimal) is 5 or more, you round up. If it is 4 or less, you round down. since 2 and 1 are less than 4, you round down making them both 0. Then, you round up making the answer 6. I hope this makes sense! I wasn't entirely sure how to explain this.
which quanity is proportional to 5/25
Answer:
1/5
Step-by-step explanation:
7. The new York Volleyball Association
invited 64 teams to compete in a tournament.
After each round, half of the teams were
eliminated.
How many teams are left after 3 rounds?
Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
64 teams were invited, thus [tex]a_1 = 64[/tex].After each round, half the teams are eliminated, thus [tex]q = \frac{1}{2}[/tex].The number of teams after 3 rounds is the 4th term of sequence, as the first is the initial number(0 rounds), thus:
[tex]a_n = a_1q^{n-1}[/tex]
[tex]a_4 = 64\left(\frac{1}{2}\right)^{4-1}[/tex]
[tex]a_4 = 8[/tex]
After 3 rounds, 8 teams are left.
A similar problem is given at https://brainly.com/question/25317689
y"+y'-6y = 12e^3t+12e^-2t
Answer
yc(T)=y"+y'-6y=0
Step-by-step explanation:
A fair 20-sided die is tossed. What is the probability that the numbers 15 or 4 or 18 are tossed?
The probability of 1 number showing up out of 20 is 1/20
The probability of 3 different numbers showing up would be 3/20
Answer: 3/20
can you help please i beg you guys
Answer:
Mr. Pandya's class has 12 boys and 18 girls.
Mr. Chapman's class has 5 girls and 25 boys.
Step-by-step explanation:
What is an acute- angled triangle?
A.) Has 3 acute angles
B.) Has 1 right angle
C.) Has one acute angle
D.) Has 1 obtuse angle
Answer:
c
Step-by-step explanation:
Who can help me with this entire page?
Answer:
I'm not entirely sure what the question is but every thing under 12.5 is closer to 12, everything 12.5 and upwards like 12.87 would be closer to 13
HELP
slope = 1; y-intercept =8
Answer:
[tex]y = mx + c \\ m = 1 \\ c = 8 \\ y = 1x + 8 \\ y = x + 8[/tex]
Given :-
slope = 1 y intercept = 8To find :-
The equation of the line .Solution :-
We know that ,
y = mx + cOn substituting ,
y = 1*x + 8 y = x + 8choose the equation of the graphed function
1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?
[tex]f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} [/tex]
[tex]f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi[/tex]
[tex]g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )[/tex]
which one of the following is a polynomial and which is not, and why?
Step-by-step explanation:
g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.
f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree
Blaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.
Answer:
fsuu vvv
Step-by-step explanation:
gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings
Select the two statements that are true about the equation y − 10 = 60(x − 40).
A. The slope of the line is 10.
B. The slope of the line is 60.
C. One point on the line is (40, 10).
D. One point on the line is (10, 60).
Answer:
The answer for this question is B and C
The answer is B and C
The equation above is in point slope form
y-y1=m(x-x1)
Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)
So thats why B and C is the answer!
brianlist me?
A cube shaped block of ice has a mass of 59 kg. The density of ice is 917 kg per cubic meter. The mass of an object is the product of its density and its volume. Write a cubic function to model the mass of a block of ice in terms of its edge length x (in meters).
Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Using the function, the edge length of the block of ice is of 0.4 m.
What is the formula for the density of an object?The density of an object is given by the mass of the object divided by it's volume, as follows:
d = m/v.
Hence the mass of the object is given by the following equation:
m = dv.
For this problem, we have that:
The density of ice is 917 kg per cubic meter, hence d = 917.The block of ice has a cubic format, meaning that v = x³, in which x is the edge length.Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Considering the mass of the block of ice, the length is found as follows:
59 = 917x³
x = cubic root(59/917) -> (59/917)^(1/3) in any calculator
x = 0.4 m.
Using the function, the edge length of the block of ice is of 0.4 m.
More can be learned about the density formula at https://brainly.com/question/11836799
#SPJ1
100 POINTS FOR THE CORRECT ANSWER
(03.03 MC)
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 3(1.09)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)
Answer:
I hope this helped. Look throught the pictures
Step-by-step explanation:
Answer:
Part A: 0<x<9
Part B: The y-intercept 3 represents how big the fish was when she first started her study.
Part C: The average rate of change from m=2 to m=8 is 2.09, and it represents the growth of the species of fish.
I don't know about Part C, but I hope this helps!
What is the answer X=-2(6+4)
Answer:
X = -20
Step-by-step explanation:
X = -2(6+4)
^ add 6 and 4 together first because they are in parentheses
-2(10)
^ this parenthesis means you want to multiply -2 and 10
because 2 x 10 = 20
that must mean -2 x 10 = -20
therefore, the value of X is -20
X= -20
10
What is the volume of the rectangular prism,
if the length of one cube is 1 cm?
Answer:
60 cubic centimetres
NEED HELP ASAP WILL GIVE BRAINLIEST
Find the quotient: 11.28 divided by 4.7
Answer:
11.28 Divided by 4.7 equals 2.4.
Step-by-step explanation:
It's just simple division. Glad I could help though!
Answer:
2.4
Step-by-step explanation:
What are your realizations after watching the video about Nature By Numbers By Cristobal Vila
Point C is located at ( -6,5). Point D is located at (-2, y). The
* distance between points C and D is 5 units. Find a possible y
value for point D.
Select all possible answers.
Pick up to 0 answers.
А
1
B. 2
C. 5
D. 8
E 9
Answer:
Step-by-step explanation:
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