Answer:
2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6
Step-by-step explanation:
A restaurant owner plans to use x tables seating 4, y tables seating 6, and z tables seating 8, for a total of 20 tables. When fully occupied, the tables seat 108 customers. If only half of the x tables, half of the y tables, and one-fourth of the z tables are used, each fully occupied, then 46 customers will be seated. Find x, y, and z
Answer:
x = 10, y = 6 and z = 4
Step-by-step explanation:
From the question, we can form simultaneous equations of 3 variables.
Since the total tables is 20, then
x + y + z = 20
If fully occupied, x tables seating 4 will be occupied by 4x customers, y tables seating 6 will be occupied by 6y customers and z tables seating 8 will be occupied by 8z customers. Since we are told that if they occupy the tables with their seating, we will have a total of 108 customers. This gives the equation
4x + 6y + 8z = 108.
From th last statement "if only half ..." We can form the following equation:
(4x)/2 + (6y)/2 + (8z)/4 = 46.
From these we have the equations (after simplifying) to be:
x + y + z = 20 -------------- 1
2x + 3y + 4z = 54 ----------- 2
2x + 3y + 2z = 46 ----------- 3
In order to solve these equations, let's subtract eqn 3 from 2, we have:
2z = 8
z = 4
Putting z = 4 in eqn 1 and eqn 2
We have:
x + y = 16 ----------- 4
2x + 3y = 38 -------- 5
To solve these eqns, multiply eqn 4 by 2 and eqn 5 by 1.
4 x 2 : 2x + 2y = 32 ----------- 6
5 x 1 : 2x + 3y = 38 ------------ 7
Let's subtract eqn 6 from eqn 7, we have:
y = 6. Substituting y = 6 and z = 4 in eqn 1, we have x = 10.
Therefore, x = 10, y = 6 and z = 4
Fine the vertex, the axis of symmetry and the y intercept of the graph
Answer:
vertex: (-3,2) because the vertex would be the center point of the parabola
axis of symmetry: x=-3, the axis of symmetry is the the center/split in the parabola.
y-intercept: y= -1, because this is the point where the parabola crosses through the y-axis
can you help me? i don’t understand
angle1 + angle2 = 180
[tex]4x + 20 + x + 20 = 180[/tex]
[tex]5x + 40 = 180[/tex]
[tex]5x = 180 - 40[/tex]
[tex]5x = 140[/tex]
[tex]x = \frac{140}{5} [/tex]
[tex]x = 28[/tex]
I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST
Which step(s) would create equations so that the coefficients of one of the variables are
opposites?
(A) Multiply the first equation by 7.
Multiply the second equation by 3.
(B) Multiply the first equation by -2.
Multiply the second equation by 4.
(C) Multiply the first equation by 2.
(D) Multiply the second equation by 4.
You have saved $1350 and are now going to invest it. The account you have chosen will compound continuously and after 10 years you will have $1462. What interest rate will the account give you?
Answer:
The account interest rate is 0.80%
Step-by-step explanation:
A=P(1+r/100)^10
1462=1350(1+r/100)^10{divide both sides by 1350}
1462/1350=(1+r/100)^10{find the 10th root of both sides}
1.00800=1+r/100{multiply through by 100}
100.800=100+r
r=100.800-100
r=0.80%
Need help plz very much
Answer:
3
Step-by-step explanation:
Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:
[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
So, here, we have [tex]\frac{13^{10}}{13^7}[/tex] , so we subtract 7 from 10:
[tex]\frac{13^{10}}{13^7}=13^{10-7}=13^3[/tex]
Thus, 3 should go in the box.
Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute. The winning car, driven by Sam, finished in 185.29 minutes. The previous year's race had a mean finishing time of 110.3 with a standard deviation of 0.129 minute. The winning car that year, driven by Rita, finished in 110.02 minutes. Find their respective z-scores. Who had the more convincing victory?
Answer:
Sam has the more convincing victory with a greater Zscore value
Step-by-step explanation:
Given that :
Year 1:
Mean finish time (m) = 185.64
Standard deviation (s) = 0.314
Sam's time (x1) = 185.29
Year 2:
Mean finish time (m) = 110.3
Standard deviation (s) = 0.129
Rita's time (x1) = 110.02
Zscore = (x - mean) / standard deviation
Sam's Zscore :
(185.29 - 185.64) / 0.314
= - 0.35 / 0.314
= −1.114649
= - 1.115
Rita's Zscore :
(110.02 - 110.3) / 0.129
= - 0.28 / 0.129
= −2.170542
= - 2.171
Sam has the more convincing victory with a greater Zscore value
What quadrant is the point (-3, -3) in
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
brainliest pls
Help quickly please I’m on a timer
Answer:
C.
Step-by-step explanation:
Simply add the two functions.
5x³+2x²-7x+4
+ 3x-7
Everything with an exponent stays the same because there is nothing else with those exponents in the other function. So all you're doing is adding the -7x+4 and 3x -7.
-7x+3x = -4x
4 - 7 = -3
That leaves you with answer C:
5x³+2x²-4x-3
Answer:
[tex]C.(f+g)(x)=(5x^3+2x^2-4x-3)[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\f(x)=5x^3+2x^2-7x+4\\g(x)=3x-7\\Hence,\\(f+g)(x)\\=f(x)+g(x)\\Hence,\\f(x)+g(x)=(5x^3+2x^2-7x+4)+(3x-7),\\ f(x)+g(x)=(5x^3+2x^2-7x+3x+4-7) \\f(x)+g(x)=(5x^3+2x^2-4x-3)\\Hence,\\(f+g)(x)=(5x^3+2x^2-4x-3)[/tex]
Suppose a DVD costs $19 and a CD costs $12. Which inequality represents how many CDs (c) you can buy along with one DVD (d) if you have $67 to spend?
A. 12c + 19 ≥ 67
B. 12c + 19 ≤ 67
C. 19c + 12 ≤ 67
D. 12c + 19 > 67
A store owner offered a 25% discount off the regular price of a pair of shoes. The amount of the discount is $4.
What is the regular price of the shoes?
A $8
B $12
C $20
D $16
Answer:
D
Step-by-step explanation:
25% of 16 is 1/4x16=4, which leaves D as as your answer
Answer:
d
Step-by-step explanation:
instead of taking away 4 add it until you have 100%
2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?
Answer:
The cost of one balloon is 4 dollars
the cost of one cake is 6 dollars
Step-by-step explanation:
The way I did it was by substituting different numbers and seeing if they equaled forty or 26.
my thought process:
1 balloon= 5
1 cake= 10
that doesnt work for 2 balloons and 3 cakes
1 balloon=5
1 cake=5
that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes
1 balloon=4
1 cake=7
I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)
Determine the value of x.
K mola ofkg o okdgmbo9k
Answer: c
Step-by-step explanation:
Use the Distributive Property to write without parentheses:
4\left(3-2m\right)4(3−2m)
Answer: 12 - 8m If there is supposed to be a sign between the rwo expressions, that will change.
If its multiplication it would be 144 - 192m + 4m²
Step-by-step explanation:
PLEASE HELLPPP MEEEE WITHH MATHHH
Answer:
-1/2y+1/2x
Step-by-step explanation:
The entrance fee to a carnival is $8, and it costs $0.50 for each ride. If Sanjay rides 6 rides, how much will he spend in total?
A. $28 dollars
B. $14dollars
C. $11dollars
D. $10 dollars
Answer:
$11
Step-by-step explanation:
0.50 × 6 = 3
3 + 8 = 11
Answer - $11
Hope this helps
2. Which expression is equivalent to 3(4x + 10 = 2+3)?
Answer: ask ggle it gives you the answer
Step-by-step explanation:
if john is 13 what will he be in 63 years
Answer:
76
Step-by-step explanation:
Answer: 76
Step-by-step explanation: may be dead
Find the coefficient of x^2 y^3 in the expansion of (-4x+y)^5. Give your answer as an integer.
Sophia went out to eat dinner, and the meal cost $40.00. If Sophia received a 35% discount, what was
total value of the discount?
$12.60
$14.00
$15.20
$16.80
Sub
Answer:
The total value of the discount is $14
Step-by-step explanation:
40 x 0.35 = 14
(Please help)..........................
Answer:
the first one is correct
Help! Which is the right one?
Answer:
it depends on the rest of the equation
Step-by-step explanation:
sss is used for using 3 sides to determine if the triangles are congruent, asa uses an angle then a side then an angle, sas uses a side then an angle then a side, ssa uses a side, then another side, then an angle
A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
l need help again please
Answer:
it is a which is 3.2 because you need to round to the nearest 10 which is 3
Answer:
3.2
Step-by-step explanation:
3.173 rounded off to nearest tenth is 3.2
You compare the happiness of people forced to smile with those of people forced to frown. Both groups have the same number of participants. The mean happiness level in the smile group is 20. The mean happiness level in the frown group is 19. The standard deviation of both groups is 20. The effect size is:_________
Answer:
0.05
Step-by-step explanation:
The Effect size = (Difference in Means) / (Standard deviation)
= (20 - 19) / 20
= 1/20
= 0.05
9965 divided by 19.9 estimate
Answer: 500.7
500.75 = 500.7
Step-by-step explanation:
The estimated value is 500
What is estimation?Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').
Given that, 9965 divided by 19.9 estimate
Let 9965 ≈ 9970
19.9 ≈ 20
9970 ÷ 20
9970 / 20
= 498.5
≈ 500
Hence, the estimated value is 500.
Learn more about estimation, click;
https://brainly.com/question/17961193
#SPJ5
Edward deposited $10,000 into saving accounts 2 years Ago. The simple interest rate is 2%. How much money did Edward earn in interest.
Answer:
the answer is someone else can
Answer:
S = P (r)(t)
Step-by-step explanation:
S = Simple interest
P = Principle
r = rate
t = time
S = (10000 x 2%)x2
Work brackets first 10000 x 2% = 200
then 200 x 2 = 400
S = 400
if f(x)= 3x + 4, then what is f(-2)
Answer:
f ( - 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 3x + 4 Equation
Step 2:
f ( - 2 ) = 3 ( - 2 ) + 4 Input x value
Step 3:
f ( - 2 ) = - 6 + 4 Combine Like Terms
Answer:
f ( - 2 ) = - 2 Combine Like Terms
Hope This Helps :)
