Answer:
1. 42 people can be seated
2. 16 tables should be used.
Step-by-step explanation:
Part 1:
Since we are given the function, p(n) = 4n + 2, we need to plug in 10 to "n." This is because "n" represents the number of tables as stated on the top of the pciture. And "p(n)" represents the number of people that can be seated.
p(n) = 4(10) + 2
p(n) = 40 + 2
p(n) = 42
Part 2:
For this question, since we are given 65 as the total number of people that can be seated, we would plug in 65 in "p(n)", to result in the following equation.
p(65) = 4n + 2
Then solve the equation and use the property of inverse operation.
65 = 4n + 2
65 - 2 = 4n + 2 - 2
63 = 4n
63/4 = 4n/4
15.75 = n
Although we're given 15.75 as the number of tables that should be used, we can't really have a 0.75 of a table, so we would round 0.75 to 1.
15 + 1 = 16
16 tables are required.
Which expression is undefined?
Answer:
D
Reasoning:
Anything that is divided by zero is undefined.
A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe the total number of pizzas that have been placed out on the buffet line is shown below.
y = 11x + 15
If x represents every 8 minutes after 11:00 a.m, which statement best describes the rate of change in the number of pizzas set out on the buffet?
A.
Every 16 minutes, 11 more pizzas were set out on the buffet.
B.
Every 16 minutes, 22 more pizzas were set out on the buffet.
C.
Every 16 minutes, 32 more pizzas were set out on the buffet.
D.
Every 8 minutes, 21 more pizzas were set out on the buffet.
HELP!!!
Answer:
B. Every 16 minutes, 22 more pizzas were set out on the buffet.
Step-by-step explanation:
At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.
[tex]\frac{16}{8} =2\\(11)(2) = 22[/tex]
Help me this question is so hard i fried up my brain yesterday working on it for so long!!!!
Hello there! (:
The answer is 9.
3^4=3*3*3*3 (81)
3^2=9
81:9=9
So the answer is 9.
Hope it helps! If you have any question or query, feel free to ask! (:
~An excited gal
[tex]SparklingFlower[/tex]
Can someone help’ it’s due today pls help pls pls
Answer:
MQP = 138
Step-by-step explanation:
Since the angle bisector always divides the angle in half exactly, we know both of the angle measures we have are the same, and set it up like this: 5x + 19 = 2x + 49 (subtract 2x from both sides) 3x + 19 = 49 (subtract 19 on both sides) 3x = 30 (divide by 3) x = 10
Substitute that x value (10) into the original equations in place of x for each angle to get MQN = 69 and NQP = 69
Add the two values to get 138. MQP = 138
Answer:
138
Step-by-step explanation:
QN bisects ∠MQP. ⇒ ∠MQN = ∠NQP
5x + 19 = 2x + 49
Subtract 19 from both sides
5x = 2x + 49 - 19
5x = 2x + 30
Subtract 2x from both sides
5x -2x = 30
3x = 30
x = 30/3
x = 10
∠MQN = 5x + 19
= 5*10 + 19
= 50 +19
= 69
∠MQP = ∠MQN +∠NQP = 69 + 69 = 138
what is the answer to this question: 3.75x =60
Answer:
x = 16
Step-by-step explanation:
If 3.75x would equal to 60, then x would equal to 60/3.75, which would be 16
Hope this helps!
While preparing for a morning conference, principal Corsetti is laying out 8 dozen bagels on square plates. Each plate can hold 14 bagels.
A.How many plates of bagels will Mr. Corsetti have.
B. How many more bagels would be needed to fill the final plate with bagels?
Answer:
Step-by-step explanation:
We have 8 dozen bagels, or 8*12=96 bagels. Each plate can hold 14 bagels, so we have enough bagels to fill 96/14=about 6.86 plates. However, we cannot have a fraction of a plate, so we round up to have a total of seven plates. To fill all seven plates fully, 7*14=98 bagels would be needed, which is two more than we have.
To summarize, Mr. Corsetti has seven plates of bagels, and would need two more bagels to fill the last one up.
line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?
Answer:
y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = [tex]\frac{1}{2}[/tex] and (a, b ) = (- 6, - 7 ) , then
y - (- 7) = [tex]\frac{1}{2}[/tex] (x - (- 6) ) , that is
y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)
Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate would express the speed of Kendra's bike ride? (4 points)
Group of answer choices
2 blocks per minute
10 blocks per minute
3 blocks per minute
4 blocks per minute
Answer:
3 blocks a minute
Step-by-step explanation:
so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute
Determine if the ordered pairs (1. - 2) and (-4,2) are solutions of the following linear inequality in two variables.
-X<-y
.
Is the ordered pair (1. - 2) a solution of the linear inequality?
Is the ordered pair (-4,2) a solution of the linear inequality?
Answer:
First is, second is not.
Step-by-step explanation:
Start plugging them!
[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]
First one is true, so the pair is a solution.
Second is false, (4 is obviously bigger!) so it's not a solution.
If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay
Quiz 2
You might need: Calculator
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had
350 pages left to read.
Let y represent the number of pages left to read after a hours.
Complete the equation for the relationship between the number of pages left and number of hours.
y =
Total pages read after 4h
[tex]\\ \sf\longmapsto 4(55)=220pages[/tex]
Pages left=350
Now
[tex]\\ \sf\longmapsto y=350+220[/tex]
[tex]\\ \sf\longmapsto y=570[/tex]
Can someone help plz
This is a graphing problem and I am trying to find the x-intercepts and the y-intercepts. Please show me the full steps. I really appreciate it thank you.
Answer:
y-intercept: y = 3/4no x-interceptsStep-by-step explanation:
To find the y-intercept, set x=0 and evaluate the function.
f(0) = -3/(0 -4) = 3/4
The y-intercept is (0, 3/4).
__
To find the x-intercept(s), set f(x) = 0 and solve for x.
0 = -3/(x^2 -4)
0 = -3 . . . . . . . . . . multiply by (x^2 -4), x ≠ ±2
There are no values of x that will make this true. There are no x-intercepts.
_____
Additional comments
In general, you find the x-intercepts of a rational function by finding the zeros of the numerator. Here, the numerator is -3, so cannot ever be zero.
I find a graphing calculator to be a useful tool for showing where to look for x-and y-intercepts. The attached graph shows y=0 (the x-axis) is a horizontal asymptote, so there are no x-intercepts.
Jonah earns $3 an hour working after school and $4 an hour working on Saturdays. Last week he earned $43, working a total of 13 hours. How many hours did he work on Saturday?
Answer:
9 hours worked after school and 4 hours worked on saturday
Step-by-step explanation:
x = amount of hours worked after school
y = amount of hours worked on saturday
x + y = 13 or x = 13 - y
and
3x + 4y = 43
plug:
3 · (13 - y) + 4y = 43
39 - 3y + 4y = 43
y = 4
plug:
x = 13 - y
x = 13 - 4 = 9
9 hours worked after school and 4 hours worked on saturday
Find the perimeter of a rectangle whose length is 12 longer than its width
with an area of 45 square feet. To earn 5 points write the mathematical
sentence, the value of Length, width and perimeter
Answer:
l = 21
w = 9
P = 60
Step-by-step explanation:
l = 12 + w
A = l*w = 45
substitute l = 12 +w
45 = (12 + w) * w
45 = 12w + w^2
w^2 + 12w - 45 = 0
w^2 + 2*6*w +36 = 45 + 36 (added 36 on both sides 6^2)
(w + 6) ^2 = 45+36 = 81
w + 6 = +-9
As width cannot be negative w = 9
so l = 12 + 9
= 21
Perimeter = P = 2 (l + b)
= 2 ( 21 + 9)
= 2 (30)
= 60
(1.7x10^13)+(0.8x10^13)
Answer:
(1.7x10^13)+(0.8x10^13)
=(1.7x1e+13)+(0.8x1e+13)
=1.7e+13+0.8e+13
=2.5e+13
in actual number it would be 25,000,000,000,000
Step-by-step explanation:
the common multiple of 4 and 20 is? a.3 b.4 c.8 d.20
Answer:
i belive its A
Step-by-step explanation: hope this helps :)
Answer:
B. 4
Step-by-step explanation:
4 times 5 is 20 and 20 divided by 5 is 4
which rotation about its center will carry a regular hexagon onto itself
Express the tan G as a fraction in simplest terms.
Answer:
[tex]\frac{\sqrt{70} }{5}[/tex]
pasagot po please
answer it please
Answer:
24 I hope help you yieeeeeee
Answer:
ummmmmmmmmmm itsssssssss
Step-by-step explanation:
Write an equation of a line in slope-intercept form with the given slope and y-intercept:
slope: 3/4 ; y-intercept: -8
Answer:
y=3/4x-8
Step-by-step explanation:
Jonnell has finished 20% of an art project that has taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
15 hours
Step-by-step explanation:
20%=3 hours
times 5 both sides
100%=15 hours
BRAINLIEST, 5 STARS, AND A THANKS FOR WHOEVER HELPS!
Which statement about the answer to this problem is most accurate?
5\6−3\8=19\24
The answer 19\24 is reasonable because both fractions are closer to 1\2 than they are to 1, making the difference close to 0.
The answer 19\24 is reasonable because 5\6 and 3\8 are both closer to 1 than to 1\2, making the difference close to 0.
The answer 19\24 is not reasonable because 5\6 is closer to 1 than to 1\2, and 3\8 is close to 1\2, making the difference close to 1\2.
The answer 19\24 is not reasonable because 5\6 is closer to 1\2 than to 1, and 3\8 is closer to 0 than to 1\2, making the difference close to 1\2.
Answer:
The answer 19\24 is not reasonable because 5\6 is closer to 1 than to 1\2, and 3\8 is close to 1\2, making the difference close to 1\2.
Step-by-step explanation:
Answer:
1/2 1 0
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = –16x2 + 119x + 57
Answer:
7.89 seconds
Step-by-step explanation:
using the quadratic formula (-b+-√(b^2-4ac))/2a
a=-16 b=119 c=57
x=-0.451
and
x=7.889
time cant be negative so use the positive x
Time required for the rocket to hit the ground would be 7.9 s.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given the quadratic equation as;
-16x² + 119x + 57 = 0
By using the quadratic formula,
x = [-b ± √b² - 4ac]/2a
Here, a = -16, b = 119 and c = 57
b² - 4ac = (119 )² - 4(-16)(57)
= 14161 + 3648
= 17809
So, x = [-(119) ± √17809]/ 16(2)
= (-119 ± 133.4)/32
Therefore, the time is 7.9 s.
Learn more about quadratic equations;
brainly.com/question/17177510
#SPJ2
Can someone help me with this please
Answer:
y=1/2x
Step-by-step explanation:
Answer:
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10
Step-by-step explanation:
So the arrow is pointing at 10 and 5
Answer 10 5
Not 5
its 10 5
So the answer is 10 5
Before deciding whether to fly or drive, the family decided to estimate a budget of $1,400 for airfare. One airline has
several different airfares and charges $25 round-trip for each bag that is checked. Since there are 4 members of the
family and each person would check 1 bag, Luis wrote the equation 4(t + 25) = 1,400 to find the maximum cost
per ticket, t, that will fit their budget.
What is the maximum cost per ticket that will be in their budget?
325
I hope that helps
The greatest possible number whose digits are all even numbers from 1 to 9
Answer:
8642Step-by-step explanation:
Our even numbers from 1-9 are:
2,4,6,8The largest possible number using the even numbers once is 8642.
Hoped this helped
( WILL GIVE BRAINLY IF IM ABLE TO) Select the correct answer.
A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
A.
18
B.
16
C.
15
D.
12
E.
8
Answer:
Answer d
Step-by-step explanation:
Answer:
12 Loaves of bread :D
Step-by-step explanation:
hope that helped , have a great day !!
the sum of three whole numbers in a row is 57. what are the three numbers?
Answer:
18, 19, 20
Step-by-step explanation:
(n) + (n + 1) + (n + 2) = 57
3n + 3 = 57
3n = 57 - 3 = 54
n = 54/3 = 18
three numbers are 18, 18+1, 18+2
18, 19, 20
Answer:
18,19,20
Step-by-step explanation:
x + (x+1) + (x+2) = 57
x + x + 1 + x + 2 = 57
Combine like terms
3x + 3 = 57
subtract 3 from both sides
3x = 54
divide both sides by 3
x = 18
The answer is 18, 19, 20
Since we know the value of x, we can look at it like this:
x + (x+1) + (x+2) --- > 18 + (18+ 1) + (18+2) --> 18 + 19 + 20
Yall I need help plsssssss help meeeeeee
Answer:
8. Scalene
9. Isosceles
10. Scalene
plz plzz plz mark as brainliest
what is the awnser and solve for C
2c=6–3c
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{C} \: \: \: \: \: \: \: \: \colorbox{white}{ = } \: \: \: \: \: + \colorbox{white}{6/5}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's find the value of c ~
[tex]2c = 6 - 3c[/tex][tex]2c + 3c = 6[/tex][tex]5c = 6[/tex][tex]c = \dfrac{6}{5} \: \: or \: \: 1.2[/tex]Answer:
c= -6
Step-by-step explanation:
2c -6 = 3c
we move all to the left
2c -6 (3c)= 0
add everything and the variables
-1c - 6 = 0
move all terms containing c to the left everything else to the right
-1c = 6
c=6/-1
c=-6