A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?
Answer:
t ≤ 15
Step-by-step explanation:
Let t = tables
6 * 15 + 2* t ≤ 120
90 + 2t ≤ 120
2t ≤ 30
t ≤ 15
Which of the following fractions can be represented by a terminating decimal?
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
10. Write the fraction 9/50 as a decimal. If
necessary, round your answer to the nearest
hundredth.
A 0.28
© 0.5
B 0.18
D 0.09
Answer:
0.18
Step-by-step explanation:
9/50 is the same as 18/100, we know this because if we multiply both 9 and 50 by 2, it gives us 18/100. 18/100 can be turned into the decimal, 0.18, so your answer is 0.18
I hope this helps :)
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
what ordered pair is the solution
Suppose that a recent poll found that 50 % of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (e) below.
Answer: 3.75
Step-by-step explanation:
P=0.50, n=15
np= 0.5x15 gives 7.5
n(1-p)= 15x(1-0.5)=7.5
Both are greater than 5
Then Mean, u=np;15x0.5=7.5
Standard deviation, √np(1-p)
15x0.5(0.5)= 3.75
Please help me! Is the ordered pair, in the form (x, y) x , y , a solution of the equation below?
Ordered Pair: (−1, −12)
Linear Equation: 4x − y = 8
options:
True
False
1-2 [-3/2 (8/9) +11]
Answer:
Your answer is:
Simplify:
Exact Form: -55/3
Decimal: 18.3
Mixed Fraction: -18 1/3
Step-by-step explanation:
Hope this helped : )
Does x=3 make the equation 5x-3=12 true or false?
Answer:
True
Step-by-step explanation:
5 times 3 equal 15. 15 minus 3 equals 12
Which expression is equivalent
to cos(4x)?
Answer: A 2(2cos^2(x) - 1)^2 - 1
Step-by-step explanation: E 2020
The expression equivalent to cos(4x) is 2cos²(2x) - 1.
Out of the options provided, the correct choice is 2cos²(2x) - 1.
The expression equivalent to cos(4x) can be found using trigonometric identities and formulas. One such identity is the double angle identity for cosine:
cos(2θ) = 2cos²(θ) - 1.
We can apply this identity to the expression cos(4x) by considering it as cos(2(2x)).
Using the double angle identity, we have:
cos(4x) = cos(2(2x)) = 2cos²(2x) - 1.
Therefore, the expression equivalent to cos(4x) is 2cos²(2x) - 1.
Out of the options provided, the correct choice is:
O 2cos²(2x) - 1.
By substituting 2x for θ in the double angle identity, we obtain the equivalent expression for cos(4x).
To learn more about trigonometric identities;
https://brainly.com/question/24377281
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220 miles on 8 gallons. How many miles in one gallon?
Answer:
Tune answer is 27. 5
Step-by-step explanation:
220/8=27. 5
ethan planted a tree that was 1.85 meters tall. several year later the tree is 5.30 meters tall
write the next three terms of the sequence.
Answer:
25, 34, 43
Step-by-step explanation:
-11 + x = -2, -11 + 9 = -2 -2 + x = 7, -2 + 9 = 7, 7 + 9 = 16 -2 - x = -11, -2 - 9 = -11 7 - x = - 2, 2 + x = 11, 11 - 2 = 9, 9 = x 7 - 7 = 0 - 2 = -2, 7 + 2 = 9, 7 - 9 = -2
16 + 9 = 25, 25 + 9 = 34, 34 + 9 = 43
J'espère que cela pourra aider : )
Explain and correct the error made by a student who simplified this expression
–2x + 7x + 8 (–2 + 7 + 8)x 13x
Answer:
−11(−3−3x) ( i think)
Step-by-step explanation:
2) Consider the following system of three equations:
(I added an image)
===============================================
Explanation:
Subtract the second equation from the first one
[tex]\ \ \ \ 3x+3y-5z = 4 \ \ ... \text{ eq 1}\\-(4x-4y+z = -1) \ \ ... \text{ eq 2}\\---------\\\ \ -x+7y-6z = 5[/tex]
Let's call that result equation 4.
Now focus on equation 3 and equation 4
equation 3 is -x+7y-6z = 2
equation 4 is -x+7y-6z = 5
Note how the left hand sides are identical, but the right hand sides are different. This means that we have an inconsistent system with no solutions. No matter what numbers we pick for x,y,z, there is no way to make all three given original equations to be true.
What 100000654 divided by 89765
Answer:
1114.027
Step-by-step explanation:
Help me please, this is due in like 20 mins
Answer:
[tex]-\frac{8}{27}[/tex]
Step-by-step explanation:
Use 9 for the denominators since 3 goes into 9
[tex]-\frac{3}{9} *\frac{8}{9}[/tex]
You can simplify 3 and 9 across
[tex]-\frac{1}{9} *\frac{8}{3}=-\frac{8}{27}[/tex]
Given: -4x + 2y = 8
Prove: y = 4 + 2x
Answer:
Step-by-step explanation:
-4x+2y=8
2y=8+4x
y=[tex]\frac{8+4x}{2}[/tex]
y=[tex]\frac{2(4+2x)}{2}[/tex]
y=4+2x
proved
Derek has a bird that weighs 4 pounds. Use the double line diagram below to help you determine approximately how many kilograms this bird weighs. (2 points)
2 lines. The first line is labeled Pounds and has 6 marks, equally spaced apart, and every other mark labeled 3, 5, 7, respectively. The second line is labeled Kilograms and has 6 marks, equally spaced apart, and every other mark labeled, 1, 2, 3, respectively.
Group of answer choices
1.5 kilograms
2 kilograms
5 kilograms
7 kilograms
Answer:
2 killograms
Step-by-step explanation:
hope this helps :)
Answer:
2 2 2 it is 2
Step-by-step explanation:
solve for x
3(x-2)-2x+3=-12
help plz
Answer:
x = -9
Step-by-step explanation:
First, subtract 3 from both sides of the equation and distribute the 3 to the x and -2.
3x - 6 - 2x = -15
Now, add the 6 to both sides of the equation and combine 3x and -2x.
x = -9
The value of x is -9.
The coldest temperature ever recorded on Earth is 135.8°F below 0, recorded
in Antarctica on July 21, 1983. The hottest temperature ever recorded
on Earth is 134°F, recorded in Death Valley, California, on July 10, 1913.
What is the difference between those two temperatures?
Answer:
-269.8
Step-by-step explanation:
Below 0 is negative.
Them do -135.8 - 134.
simplify 12*3/12*7 QUICK PLEASE
Answer:
12*3/12*7= 3/7
Step-by-step explanation:
make it braintliest please
A number plus one is greater than negative five and less than three.
Answer:
Step-by-step explanation:
1. It is less than three and more than negative five. 1 + 1 is 2 and 2 is less than 3.
Thank you if you could help!
Answer: 12/8
Step-by-step explanation:
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Simplify: [tex]\frac{5}{8} - (-\frac{7}{8}) = \frac{5}{8} + \frac{7}{8}[/tex] [tex]\frac{5}{8} + \frac{7}{8} = \frac{12}{8}[/tex] [tex]\frac{12}{8} = \frac{3}{2}[/tex]I hope this helps!
“without using technology describe the end behavior of f(x) equals negative 3X to the 4th+ 7X squared -12 X +13” PLEASE HELP!!!!
What is the maximum number of turns in the graph of this function? f(x) = x5 – x2 – x+1
Answer:
4
Step-by-step explanation:
3(x-5) = 5x - (3 - x)
Answer:
X=-4
Step-by-step explanation:
Answer: Isolate the variable by dividing each side by factors that don't contain the variable.
X= -4
Step-by-step explanation:
What is the solution to the inequality -2.1x + 2.9 > 15.5?
Answer:
x<−6
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2.1x+2.9>15.5
Step 1: Subtract 2.9 from both sides.
−2.1x+2.9−2.9>15.5−2.9
−2.1x>12.6
Step 2: Divide both sides by -2.1.
−2.1x−2.1>12.6−2.1
x<−6
samantha makes her own soap and sells it at a craft markets. she makes 15 bars of soap in 3 hours. If she works for 6 hours every Saturday for 4 Saturdays, how many bars of soap will she have?
Answer:
120
Step-by-step explanation:
She makes 15 in 3 hours
15÷3= 5
5 bars of soap an hour
if she works 6 hours
5x6=30
every Saturday, 4 Saturdays
30x4=120
Given the relation y = 7x^2 + 3, if the input is 4, what is the output? (4 points) 115 116 118 120
Answer:
115
Step-by-step explanation:
PLug in 4 as the value of x.
7 (4)^2 + 3
7 (16) + 3
112 + 3
115.
The output is 115.