Answer:
No. of large rooms = 7
No. of small rooms = 14
Set of equations
4x + 3y = 70
y = 2x
Variable definitions
No. of large rooms is x
No. of small rooms is y
Step-by-step explanation:
capacity of large rooms = 4 people
let the no. of large rooms be x
thus, total no of people which can be accommodated in x rooms = 4*x = 4x
capacity of small rooms = 3 people
let the no. of small rooms be y
thus, total no of people which can be accommodated in y rooms = 3*y = 3y
total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y
It is given that total small room and large room can accommodate 70 guests
thus,
4x + 3y = 70 _________equation 1
_________________
It is also given that Jose reserved twice as many small rooms as large rooms,
so, if no. of large rooms is x and no. of small rooms is y
then
y = 2x _________equation 2
substituting value of y in equation 1 we have
4x + 3(2x) = 70
=>4x + 6x = 70
=> 10x = 70
=> x = 70/10 = 7
No. of large rooms = 7
No. of small rooms = y= 2x = 2*7 = 14
Set of equations
4x + 3y = 70
y = 2x
Variable definitions
No. of large rooms is x
No. of small rooms is y
The number of the small rooms is 14.
The number of large rooms is 7.
Assuming that the number of the large rooms is x,
So, the number of small rooms is 2x
According to the question:
[tex]3[/tex] × [tex]2x[/tex] [tex]+ 4[/tex] × [tex]x = 70[/tex]
[tex]6x+4x=70\\10x=70\\x=7[/tex]
So, 2x = 2(7) = 14
Therefore, the number of the small rooms is 14 and the number of large rooms is 7.
For more information:
https://brainly.com/question/22971109
Not really sure how to do this
Answer:
Step-by-step explanation:
[tex]\begin{bmatrix}6x=3y-7\\ 9y-18x-9=0\end{bmatrix}\\\mathrm{Isolate}\:x\:\mathrm{for}\:6x=3y-7:\quad x=\frac{3y-7}{6}\\6x=3y-7\\\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{3y}{6}-\frac{7}{6}\\Simplify\\x=\frac{3y-7}{6}\\\mathrm{Subsititute\:}x=\frac{3y-7}{6}\\\begin{bmatrix}9y-18\cdot \frac{3y-7}{6}-9=0\end{bmatrix}\\\mathrm{Refine\:}9y-18\frac{3y-7}{6}-9=0\\12=0\\12=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\\No\:Solution[/tex]
I hope this is what you wanted
What is the product of (x-2)(x-6)? *
Answer:
[tex]x^2-4x+12[/tex]
Step-by-step explanation:
[tex](x-2)(x-6)[/tex]
[tex]x(x-6)-2(x-6)[/tex]
[tex]x^2-6x-2x+12[/tex]
[tex]x^2-4x+12[/tex]
#1 how is the vertex found?
#2 Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.
Answer:
C and A : ) : )
If you're looking for an anime to watch, watch Dororo if you haven't already
Answer:
C and A
Step-by-step explanation:
Edge 2021
which shows the equation below written in the form ax^2+bx+c=0
Answer:
C
Step-by-step explanation:
[tex]x^{2} + 8x + 10 - 3 = 0\\x^{2} + 8x + 7[/tex]
Answer:
C
Step-by-step explanation:
A P E X
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6,10)
Answer:
Option (1). (6, 0)
Step-by-step explanation:
The given question is incomplete; here is the complete question.
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?
(6, 0)
(0, 6)
(−5, 0)
(0, −5)
Line in orange color is passing through two points (-8, 6) and (4, -4)
Slope of this line = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{6+4}{-8-4}[/tex]
= [tex]-\frac{10}{12}[/tex]
= [tex]-\frac{5}{6}[/tex]
Other line parallel to this line will have the same slope 'm' = [tex]-\frac{5}{6}[/tex]
Parallel line passes through a point (-6, 10).
Let the other point through which the parallel line passes is (a, b)
Now, [tex]-\frac{5}{6}[/tex] = [tex]\frac{10-b}{-6-a}[/tex]
-5(-a - 6) = 6(10 - b)
5a + 30 = 60 - 6b
5a = -6b + 60 - 30
5a = -6b + 30
a = [tex]-\frac{6}{5}b+6[/tex]
By satisfying with all the options we find only (6, 0) satisfy this equation.
6 = [tex]-\frac{6}{5}(0)+6[/tex]
6 = 6
Therefore, (6, 0) is the other point lying on the parallel line.
Option (1) will be the answer.
Answer:
Step-by-step explanation:
The answer was (6,0) I just got it right on my assignment
99 pencils cost \$7.74$7.74dollar sign, 7, point, 74. Which equation would help determine the cost of 666 pencils? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{6}{x} = \dfrac{9}{\$7.74} x 6 = $7.74 9 start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction (Choice B) B \dfrac{x}{6} = \dfrac{9}{\$7.74} 6 x = $7.74 9 start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction (Choice C, Checked) C \dfrac{9}{6} = \dfrac{x}{\$7.74} 6 9 = $7.74 x start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction (Choice D) D \dfrac{6}{x} = \dfrac{\$7.74}{9} x 6 = 9 $7.74 start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction (Choice E) E None of the above
Answer:
[tex]\large \boxed{\text{A) } \dfrac{6}{x} = \dfrac{9}{\$7.74}}[/tex]
Step-by-step explanation:
9 pencils cost $7.74
6 pencils cost x
The ratios are
[tex]\dfrac{9}{6} = \dfrac{\$7.74}{x}[/tex]
According to the alternendo property,
[tex]\dfrac{9}{6} = \dfrac{\$7.74}{x} \Rightarrow \dfrac{9}{\$7.74} = \dfrac{6}{x}\\\\\text{The correct answer is $\large \boxed{\mathbf{ \dfrac{6}{x} = \dfrac{9}{\$7.74}}}$}[/tex]
Answer:
correct
Step-by-step explanation:
pls help it’s due at 9am and i need the work too
Answer for 1. 72
Answer for 2.536
Answer for 3.195
Please answer CORRECTLY !!!!!!!! Will mark BRAINLIEST !!!!!!!!!
Answer:
-24
Step-by-step explanation:
First find f(3), which is the value of the blue line when x =3
f(3) = -2
Then find g(-1) which is the value of the red line when x= -1
g(-1) = 6
-6 f(3) - 6*g(-1)
-6*-2 - 6(6)
12 - 36
-24
Someone help me please.
Answer:
No solution.
Step-by-step explanation:
Two same things can't equal different things.
In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour.
1. How would you estimate or find the population of bacteria in:
a. 4 hours?
b. 90 minutes?
c. 72 hour?
Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = [tex]P_{0}(1+\frac{r}{100})^{t}[/tex]
Where f(x) = Population after time 't'
[tex]P_{0}[/tex] = Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = [tex]100(1+\frac{r}{100})^{1}[/tex]
3 = 1 + [tex]\frac{r}{100}[/tex]
r = 100×(3 - 1)
r = 200
So the function is, f(x) = [tex]100(3)^{t}[/tex]
a). Population after 4 hours,
f(4) = [tex]100(3)^{4}[/tex]
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = [tex]100(3)^{1.5}[/tex]
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = [tex]100(3)^{72}[/tex]
= Infinite
Leroy spent a total of $18.00 on rides at the county fair. Each ride cost $1.50. How many rides did Leroy
go on at the fair?
If he spent $18 at the fair and each ride was $1.50 Leroy went on 12 rides because 18 divided by 1.5 equals 12. Hope this helped :)
Algebra help please!
Answer:
Yes
Step-by-step explanation:
10(49-49)
---------------
2(7)(7^2-16)(7+3)
0
---------
4620
answer is 0
If g(x) = 2(x − 4), find the value of x if g(x) = 20. (2 points) a 32 b 12 c 14 d 10
Answer:
14
Step-by-step explanation:
Make the two function equal to eachother and then, bring -8 to the right which will be added with 20 to get 28. Now you left with 2x on the left side, divide both sides by 2 to solve for (x). Thus x= 14.
Answer:
c. 14
Step-by-step explanation:
Mr. Andrews must spend less than $75 on lunches during the pay period. He has already spent $30 on lunches. Each meal at the work cafeteria costs $9. How many additional meals can Mr. Andrews buy at the work cafeteria this pay period? Select the inequality that includes the maximum number of additional meals Mr. Andrews can buy at the work cafeteria this pay period while still staying within his budget. A. x < 9 B. x < 45 C. x < 30 D. x < 5 Reset Next Question
Answer:
x<5
Step-by-step explanation:
because he already spend 30$ so the remain will be 45$
by dividing it to 9$ he will buy another 5 meal
prove that:
(tan20°)^2+(tan40°^)2+(tan80°)^2=33
Answer:
Step-by-step explanation:
We have tanπ3=−tan2π3=tan4π3=3–√
Since tan(3x)=3tanx−tan3x1−3tan2x
Thus tanπ/9,−tan2π/9,tan4π/9are solutions to the polynomial 3–√=3x−x31−3x2
On simplication, x3−33–√x2−3x+3–√=0.(1)
Since (tanπ9−tan2π9+tan4π9)2
=tan2π9+tan22π9+tan24π9
+ 2( -tanπ9tan2π9+tanπ8tan4π9−tan2π9tan4π9)
By sum and product pairs of roots in (1) above
(−33–√)2=tan2π9+tan22π9+tan24π9+2×−3
∴tan2π9+tan22π9+tan24π9=33
H. 539.28 - 6.42
Help pls
Answer:
532.86
Step-by-step explanation:
just subtract starting with the numbers after the decimal place
Which polynomial is in standard form?
Answer:
Im pretty sure its D
Step-by-step explanation:
What’s 6 times 6 divided by 2 plus 2
Answer: 20
Step-by-step explanation:
Mrs. Sara has $18 deducted yearly from her checking account for her gym membership. What integer represents the change in her account for a year of gym membership?
1.$18
2.$36
3.$180
4.$216
Answer:
The correct amount is $18
Step-by-step explanation:
The change in her checking account here refers to a reduction in balance due to a deduction made for a gym membership of $18 per year.
Integer, as we know, is a whole number, not a fraction.
In all fairness, the integer will indicate the change in her checking account due to her gym membership payment is $18, the first option out of the multiple choices provided
Will make as the brainliest
you are using a taxi cab company that charges a flat fee of $5.00 and an additional $0.50 per mile. Let x represent the number of miles you drive in the taxi and y represent the amount you paid for the ride. Write an equation that can be used to find the amount of money you pay for the taxi ride.
a- standard form
b-slope intercept form
Answer:
In standard form: x - 2y = -10
In slope intercept form: y = (1/2)x + 5
Step-by-step explanation:
y = total cost
y = flat cost + mileage cost
The flat cost is $5, so you get
y = 5 + mileage cost
The mileage cost depends on the number of miles, x.
1 mile costs $0.50
2 miles cost $0.50 * 2
3 miles cost $0.50 * 3
x miles cost $0.50 * x, or simply 0.5x
Now we add the mileage cost to our expression.
y = 5 + 0.5x
y = 0.5x + 5
In standard form:
0.5x - y = -5
x - 2y = -10
In slope intercept form:
y = (1/2)x + 5
How many faces does this figure have?
A.Two
B.three
C.four
D.five
Answer:
b.3
Step-by-step explanation:
im not 100% sure
What is the area of this figure? Use 3.14 for pi.
A. 4.5 mm2
B. 9 mm2
C. 11.56 mm2
D. 18.61 mm2
Answer:
Step-by-step explanation:
area of triangle = 1/2 * base * height = 1/2 * 9 = 9/2
area of semicircle = 22/7 * {3 root 2 / 2}^2 = 22/7 *18 / 4 = 22/7 *9/2 = 198/14=99/7
area of figure = 99/7 + 9 /2 =18.6mm2
mark me as the brainliest
Answer:
area of figure= area of semi circle + area of triangle
area of semi circle= 1/2πr²
1/2×3.14×2.12×2.12
1/2×14.11
= 7.06
area of triangle = 1/2×base×height
but I am going to use the Pythagoras theorem to find the its height
= hypotenus² = base²+height²
3²=2.12²+h²
9=4.5+h²
9-4.5=h²
√4.5=√h²
h= 2.12
so area of triangle= 1/2×4.24×2.12
=4.5
area of figure = 70.6+4.5
= 75.1mm²
hope it helps even if its not correct just wanted to try
A toy rocket is launched straight up from the top of a building. The function that models the height as a function of time is h(t)=-16^2+200t+50. At what height was the rocket launched?
Answer: 50 ft
Step-by-step explanation:
The correct function is h(t)=-16t^2+200t+50.
Hi, to answer this question we simply have to replace t =0 in the function given:
h(t)=-16t^2+200t+50.
h (0) = -16t^2+200t+50.
h(0) = 50
When the time is 0, the rocket is at the top of the building.
The rocket was launched from a 50 ft height.
Feel free to ask for more if needed or if you did not understand something.
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster average rate?
A school chair has 36 members. This year, there are three times as many returning members as new members. How many
new members are in the choit this year?
12 new members
24 new members
27 new members
Will mark Branliest for correct answers
Answer:
1. 276040 = 300000
2.£200
3. 20000km
Step-by-step explanation:
According to some reaserch,
To round to a significant figure:
1. look at the first non-zero digit if rounding to one significant figure
2. look at the digit after the first non-zero digit if rounding to two significant figures
3.draw a vertical line after the place value digit that is required
4. look at the next digit
5.if it's 5 or more, increase the previous digit by one
6.if it's 4 or less, keep the previous digit the same
fill any spaces to the right of the line with zeros, stopping at the decimal point if there is one
3 2/5 + 4 2/5 = Answer : __________________________
Answer:
7 and 4/5
Step-by-step explanation:
Description:
The correct answer for this question is 7.8 because since this is just a plus question just add the numbers together.
1: 32/5
2: + 42/5
3: = 7.8
Answer: 7.8
Please mark brainliest
Hope this helps.
Which statements are true of functions? Check all that apply.
All functions have a dependent variable.
All functions have an independent variable.
The range of a function includes its domain.
A vertical line is an example of a functional relationship.
A horizontal line is an example of a functional relationship.
Each output value of a function can correspond to only one input value.
Intro
Answer and Step-by-step explanation:
To get this answer you need to understand what a function is, a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. If this is false, this is NOT a function. So, knowing that, the correct answers are, All functions have a dependent variable, All functions have an independent variable, and A horizontal line is an example of a functional relationship. So this 1st, 2nd, and 5th options.
Hope this helped you out! Have a wonderful day!
which function is graphed?
Answer:
A I did the same quiz it’s A
Step-by-step explanation:
The correct option is "option A".
A function is graphed in the given figure.
We have to tell that which option is correct related to the graph.
What is a function ?
The function is the description of how the inputs relate to the output. Each input has only one output.
According to the figure / graph ;
When x < 3
Then , y = [tex]x^{2}[/tex] + 6
Also , at , x = 3
We get an open interval.
So, we can say that ;
y = [tex]x^{2}[/tex] + 6 is valid for x < 3 not at x =3
Also , y = -x + 6 is valid for x ≥ 3 , here we get a close interval.
Thus , the correct option will be "option A" i.e.,
y = { x² + 6 , x < 3
and
y = { -x + 6 , x ≥ 3
To learn more about functions click here ;
https://brainly.com/question/23104523
#SPJ6
In a survey, 125 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 2.
The experimental probability is [tex]\frac{10}{15+10+40+20+40}=8\%,[/tex] while the theoretical probability, assuming random selection, is [tex]\frac{1}{5}=20\%,[/tex] so the theoretical probability is greater than the experimental probability.
