The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.
The variable x represents the number of
Answers
Answer:
Square tables used
Step-by-step explanation:
x represents the number of square tables used since it is being multiplied times 8 which is the number of people a square table can fit
Answer:
answer in pictures
Step-by-step explanation:
Related Questions
The price of admission to a World War I history museum is $8.29 for adults and $6.47 for children. A family of 2 adults and 4 children visits the museum. What is the total cost, in dollars, of admission?
Answers
Answer:
cost for adults=$8.29
cost for children=$6.47
cost for 2 adults and 4 children are =$(2×8.29)+(4×6.47)=$16.58+25.88=$42.46
For each sequence, find the first 4 terms and the 10th term.
a) 12-n
B 5 - 2n
Answers
Answer:
Solution given:
a.
tn=12-n
1 st term =12-1=11
2nd term =12-2=10
3rd term=12-3=9
4th term=12-4=8
10th term=12-10=2
b.
tn=5-2n
1st term=5-2*1=3
2nd term=5-2*2=1
3rd term=5-2*3=-1
4th term=5-2*4=-3
10th term=5-2*10=-15
(a) Solution
T(n) = 12 - n
T(1) = 12 - 1 = 11
T(2) = 12 - 2 = 10
T(3) = 12 - 3 = 9
T(4) = 12 - 4 = 8
T(10) = 12 - 10 = 2
(b) Solution
T(n) = 5 - 2n
T(1) = 5 - 2 = 3
T(2) = 5 - 4 = 1
T(3) = 5 - 6 = -1
T(4) = 5 - 8 = -3
T(10) = 5 - 20 = -15
Drag each tile to the correct box.
Arrange the numbers as they appear from left to right on a horizontal number line.
-2.5
-2.57
-1.85
2.5
-2.76
-1.58
2.85
I
Answers
Answer:
-2.76
-2.57
-2.5
-1.85
-1.58
2.5
2.85
Hopefully this is what you mean. Have a nice day!
Step-by-step explanation:
A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])
Answers
Answer:
4.56% of the deliveries are likely to be outside the specification limits.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average weight was 95.0 grams. The standard deviation was 0.25 grams.
This means that [tex]\mu = 95, \sigma = 0.25[/tex]
What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])?
Less than 94.5, or more than 95.5. Since the normal distribution is symmetric, these probabilities are the same, so we can find one of them and multiply by two.
The probability that it is less than 94.5 is the p-value of Z when X = 94.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94.5 - 95}{0.25}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
2*0.0228 = 0.0456
0.0456*100% = 4.56%
4.56% of the deliveries are likely to be outside the specification limits.
How many 1/6 cup serving of rice and in 2/3 cup of rice
Answers
Answer:
4 serving cups
Step-by-step explanation:
Given
[tex]Serving\ cup = \frac{1}{6}[/tex]
[tex]Rice\ cup = \frac{2}{3}[/tex]
Required
The number of serving cup (n)
This is calculated by dividing the rice cup by the serving cup
[tex]n = \frac{Rice\ cup}{Serving\ cup}[/tex]
[tex]n = \frac{2/3}{1/6}[/tex]
Rewrite as:
[tex]n = \frac{2}{3} \div \frac{1}{6}[/tex]
Change to multiplication
[tex]n = \frac{2}{3} * \frac{6}{1}[/tex]
[tex]n = \frac{12}{3}[/tex]
[tex]n=4[/tex]
What is the volume, in cubic centimeters, of a rectangular prism with a height of 17 centimeters, a width of 17 centimeters, and a length of 11 centimeters?
Answers
Answer:
3179cm^3
Step-by-step explanation:
[tex]volum = height × width × length \\ = 17cm \times 17cm \times 11cm \\ = {3179cm}^{3} [/tex]
What is the value of x?
O A. x=15
O B. x=10
O C. x=20
D. x=5
Answers
Explanation:
(x + 5) + x + (7x - 5) = 180 (Sum of angles in a triangle)
x + 5 + x + 7x - 5 = 180
9x = 180
x = 20
Which of the following expressions is equivalent to 45 - 165n?
Select all that apply.
A. 3(15 - 165n)
B. 5(9 -33n)
C. 15(5 - 33n)
D. 9(5 - 33n)
E. 15(3 - 11n)
Answers
Answer:
E
Step-by-step explanation:
45-165n
15(3-11n)
basically
45/15=3. 165/15=11
A man leaves the town of Elmsville at 8:00 am and drives to Oak City at a constant rate of 50 miles per hour. Two hours later, a woman leaves Elmsville following the same route to Oak City. The man and woman arrive in Oak City at 3:00 p.m. What was the rate of the woman
Answers
Answer: 70 mph
Step-by-step explanation:
Given
A man leaves the town of Elmsville at 8:00 am and reach oak city at 3 Pm
Rate of driving is 50 miles per hour
time taken by man [tex]t=7\ hr[/tex]
Woman leaves 2 hour later and reach by 3 Pm, so time taken is [tex]5\ hr[/tex]
Distance traveled by both the person is same
[tex]\therefore 50\times 7=v\times 5\quad[v=\text{rate of woman}]\\\\\Rightarrow v=\dfrac{50\times 7}{5}\\\\\Rightarrow v=70\ mph[/tex]
Thus , the rate of woman is 70 miles per hour.
Which of the following graphs shows a pair of lines that represents the equations with the solution (3, −6)? (1 point)
Answers
Given:
The solution of two equation is (3,-6).
To find:
The graphs that shows a pair of lines that represents the equations with the solution (3, −6).
Solution:
In first graph, both line intersect each other at point (-6,3). So, the solution of the pair of lines is (-6,3).
In second graph, both line intersect each other at point (-3,6). So, the solution of the pair of lines is (-3,6).
In third graph, both line intersect each other at point (3,-6). So, the solution of the pair of lines is (3,-6).
In forth graph, both line intersect each other at point (6,-3). So, the solution of the pair of lines is (6,-3).
Therefore, the correct option is C.
Complete each congruence statement by naming the corresponding angle or side. NO LINKS!!!
Answers
Answer:
Solution given:
19
<JKL=<KLS
20
FD=GD
9514 1404 393
Answer:
19) ∠JKL ≅ ∠SLK
20) FD ≅ GD
Step-by-step explanation:
It works well to identify the locations of the letters in the congruence statement, then use the letters in the same order from the other part of the congruence statement.
19) Letters JKL have the order 312 in the first part of the congruence statement ΔKLJ ≅ ....
The last part of the congruence statement is ... ≅ ΔLKS. The letters in order 312 from that part are SLK, so we want our angle congruence to read ...
∠JKL ≅ ∠SLK
__
20) The letters we're given (FD) are in positions 31 of the first part of the triangle congruence statement. The letters in those positions in the second part are GD, so our segment congruence is ...
FD ≅ GD
Solve the problem 35×2/7=
Answers
35 × 2/7 =
2 × 35 / 7 =
2 × 5 × 7 / 7 =
Simplify 7
2 × 5 =
10
7000 litres of water is pumped out if a tank in 42 minutes.how many litres could be pumped out in one hour
Answers
Answer:
10000 litres
Step-by-step explanation:
using proportion
if 7000 litres equals 42 minutes
then, x litres equals 60 minutes
x = (60×7000)÷ 42
x = 10000 litres
a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?
Answers
Answer:
[tex]f(20) =3.25[/tex]
Step-by-step explanation:
Given
[tex]f(m) = 1.25 + 0.10m[/tex]
Required
[tex]f(20)[/tex]
We have: [tex]f(m) = 1.25 + 0.10m[/tex]
Substutute 20 for m
[tex]f(20) =1.25 + 0.10*20[/tex]
[tex]f(20) =1.25 + 2[/tex]
[tex]f(20) =3.25[/tex]
Let P(x, y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant II and x = − 5⁄8 , evaluate the six trigonometric functions of θ.
Answers
The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.
In this question, we assume that x-component of the terminal point is part of a unit circle. Then, we can find the value of y by means of the Pythagorean theorem:
[tex]y = \sqrt{1-x^{2}}[/tex] (1)
If we know that [tex]x = -\frac{5}{8}[/tex] and P is in the second quadrant, then the value of y is:
[tex]y = + \sqrt{1-\left(-\frac{5}{8} \right)^{2}}[/tex]
[tex]y \approx 0.781[/tex]
By trigonometry, we remember the following definitions for the six basic trigonometric functions:
[tex]\sin \theta = \frac{y}{1}[/tex] (1)
[tex]\cos \theta = \frac{x}{1}[/tex] (2)
[tex]\tan \theta = \frac{y}{x}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan\theta}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta }[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (6)
If we know that [tex]x = -\frac{5}{8}[/tex] and [tex]y \approx 0.781[/tex], then the six basic trigonometric functions are, respectively:
[tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex]
The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.
We kindly invite you to check this question related to trigonometric functions: https://brainly.com/question/6904750
HELP PLZZZZZZZZZZZ I NEED ITTT OMG
Answers
I hope this is help full to you
[tex]3) \: \: \: 4(2y + z) - 3(3y + z) \\ \\ = 8y + 4z - 9y + 3z \\ \\ = - y + 7z[/tex]
[tex]4) \: \: \: \: x(4x - 2) - 3x(x + 1) \\ \\ = 4x {}^{2} - 2x - 3 {x}^{2} - 3x \\ \\ = {x}^{2} - 5x[/tex]
[tex]5) a> \: \: 3(2 + c) \\ \\ = 6 + 3c[/tex]
[tex]b> \: \: \: 2a(b - 4) \\ \\ = 2ab - 8a[/tex]
[tex]c> \: \: \: ab(b + c) \\ \\ = ab {}^{2} + abc[/tex]
Hope This Helps You ❤️Which expression is equivalent to 1/2x + 8
Answers
Answer:
1/2( x+16)
Step-by-step explanation:
1/2x + 8
Factor out 1/2
1/2*x + 1/2 *16
1/2( x+16)
Which is the better value for money 250g of coffee R12,35 or 450g of the same coffee at R21,95
Answers
Answer:
450g coffee or 21.95$ coffee
Step-by-step explanation:
again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee
Easy question please help
Answers
Answer:
[tex]y = 3x - 2[/tex]
Step-by-step explanation:
Required
The equation of the above linear function
From the table, we have:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,4)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{4 -1}{2 -1}[/tex]
[tex]m = \frac{3}{1}[/tex]
[tex]m =3[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 3(x - 1) + 1[/tex]
[tex]y = 3x - 3 + 1[/tex]
[tex]y = 3x - 2[/tex]
If two events are complementary, then we know that: Multiple Choice the sum of their probabilities is one. the joint probability of the two events is one. their intersection has a nonzero probability. they are independent events.
Answers
Answer:
The joint probability of the two events is one.
Step-by-step explanation:
Complementary events:
If two events are complimentary, these three following things are true:
They are dependent.
The intersection of them is zero.
The joint probability of the two events is one.
The last one is the correct choice.
what are the prime factors of the greatest 4 digit number?
Answers
Answer:
The prime factors of the greatest 4 digit number are 3, 11 and 101.
Step-by-step explanation:
Hope it helps
please help! (listing BRAINLIST and giving points) :)
Answers
Answer:
sin∅ = 12/13
Step-by-step explanation:
use pythagorean theorem to find the missing side
a² + 5² = 13²
a² = 13² - 5²
a² = 169 - 25
a² = 144
a = 12
-----------------------------
Sin∅ = opp/hyp
sin∅ = 12/13
Anyone know??? PLEASE HELP ME
Answers
Answer:
C
Step-by-step explanation:
Try it.
Answer:Its B or C
Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.
Write a statement that indicates that the triangles in each pair are congruent. NO LINKS!!
Answers
Answer:
23
UVW congruent to WFG
and
24
FHG congruent to LMN
Answer:
23 ) UVW is congruent to WGF
24 ) FHG is congruent to LMN
Which number is irrational?
A. [tex]\frac{\pi }{6}[/tex]
B. 8.1
C. Recurring decimal 11.9
D. [tex]\sqrt{36}[/tex]
Answers
Irrational numbers are not able to be written as fractions or non-recurring decimals.
B. 8.1 = 81/10
C. 11.999999.... = 12 = 12/1
D. sr(36) = 6 = 6/1
pi is already irrational so dividing it by 6 does not fix that
what is the answer to tjis question? 7 more than h
Answers
Answer:
7>h
Step-by-step explanation:
Write the equation of the line passing through the point (−3,−4) that is perpendicular to y=8/3x+5.
Answers
Answer:
y = -3/8x -41/8
Step-by-step explanation:
Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.
Therefore the slope changes from 8/3 to -3/8.
Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).
The result is b = -41/8 so our new equation is:
y = -3/8x -41/8
What is the length of Line segment H A? 7 units 8 units 24 units 48 units
Answers
dogs alpha an 125789 SMS Skoda Eloisa 124579 harm Occam
Answer:
48
Step-by-step explanation:
correct on Edge 2021
If 30 men can complete a work in 40 days,
In how many days 15 men will complete
it?
Answers
Answer:
80
Step-by-step explanation:
djdjdjdjdjdjkkkdkjrr
Find the volume of the composite solid. Round your answer to the nearest
tenth.
Answers
Answer:
452.4 in³
Step-by-step explanation:
Volume half sphere = 1/2 volume sphere
Volume sphere = 4/3πr²
Volume = 4/3*3.14*27 Radius = 1/2(6) . 3³ = 27
Volume ≈ 113.1
Volume Cylinder = Area circle x hieght
Area circle = πr²
Area circle = 3.14 * 9
Area circle = 28.26
Volume cylinder = 28.26 * 12 = 339.12
339.12 + 113.1 = 452.22
Because of rounding it would be ≈ 452.4
If my answer is incorrect, pls correct me!
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-Chetan K
