Answer:
The two bowling alleys cost the same when there are 10 people in the group.
Step-by-step explanation:
Bustlin' Bowling first:
$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.
Grand Entertainment next:
$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.
So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.
In variables, it's asking when b = g, what is x?
Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.
I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:
35 + 2x = 20 + 3.5x
Subtract 2x from both sides.
35 = 20 + 3.5x - 2x
35 = 20 + 1.5x
Subtract 20 from both sides.
35 - 20 = 1.5x
15 = 1.5x
Divide both sides by 1.5.
15/1.5 = 1.5x/1.5
10 = x
Sooo, the answer is 10 people.
Please mark as Brainliest! :)
turn this equation into a sentence.
2 + 3n = 4n
Answer:
4 times a number equals 2 plus 3 times a number
Step-by-step explanation:
I know this might not make sense but this is how most people put this in a sentence. :)
The function is expressed as: "the product of a number and 3 increased by 2 is the same as the product of the number and 4"
Given the function 2 + 3n = 4n. We are to write this function as a statement:
Let "n be an unknown number.
3n can be written as the product of a number and 3"2 + 3n is expressed as "the product of a number and 3 increased by 2" 4n can be written as the product of a number and 4"Combining the statements, the function is expressed as:
"the product of a number and 3 increased by 2 is the same as the product of the number and 4"
Learn more here: https://brainly.com/question/19448765
Write the nature of roots of the quadratic equation 9x^2 -6x+2
Answer:
roots are not real
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
Then the nature of the roots can be found using the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then roots are not real
Given
9x² - 6x + 2 = 0
with a = 9, b = - 6, c = 2 , then
b² - 4ac = (- 6)² - (4× 9 × 2) = 36 - 72 = - 36
Since b² - 4ac < 0 then the roots are not real
Which is one method to help avoid cross-contamination?
Buy prepared food
Keeping peanuts away from other foods
Ensuring cold food is stored at 41°F
Store chicken over lettuce
9. Which property is illustrated?
For all expressions a, b, and c, if a = b , then a+c=b+c.
Distributive Property of Equality
Associative Property of Addition
Commutative Property of Addition
Addition Property of Equality
Subtraction Property of Equality
10. True or False: An argument that uses logic in the form of definitions, properties, and previously proved
Answer:
It is Distributed property and False
Step-by-step explanation:
Any number raised to the zero power is one.
what is the rule for multiplying power is numbers
Can someone please help me with this problem
Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
T^12 x T^10= T to the power of what
t²²
Step-by-step explanation:Hi there !
t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²
Good luck !
What number is 1% of 37.25
Answer:
1% of 37.25=0.3725
this is for my lil sis. "Round 13.989 to the nearest tenth" to lazy to answer it for her
Answer:
14.0
Step-by-step explanation:
when rounded to the nearest tenth, 13.989 is 14.0.
Answer:
Hey!
Your answer for your lil' sis is 14!
Step-by-step explanation:
The tenth column is the column directly after the decimal point...
GREATER THAN 5 = Round up...
LESS THAN 5 = Round down...
So in this case it is 9 SO WE ROUND UP
This makes it 14.0
I HOPE THIS HELPEDAn employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
wat is the answer
Answer:
There was a 25% increase.
Step-by-step explanation:
Please I need some answers a few is fine
Answer:
i) (121)^1/2 = 11;
11*11 = 121
ii) (12321)^1/2 = 111;
111*111 = 12321
iii) (1234321)^1/2 = 1111;
1111*1111 = 1234321
iiii) (123454321)^1/2 = 11111;
11111*11111 = 123454321
HELP PLEASE ASAP!! THANKS!
D(-3,4) E(7, 6) 1:3
Answer:d
Step-by-step explanation:
What is -4/5 divided by 2/3? I can't figure out how to get the answer and the calculators are no help at all.
If you're asking for improper, It's -6/5.
If you're asking for decimal. it's -1.2
If you're asking for mixed number, It's -1 1/5.
Answer:
-2/15
Step-by-step explanation:
Apply the fractions formula for addition, to
− 45 + 23
and solve
( −4 × 3 ) + ( 2 × 5 ) 5 × 3
= − 12 + 10/15
= −2/15
Therefore:
−45+23= −2/15
Please help me find the answer
34=___
Answer:
34 divided by 2
Step-by-step explanation:
come onnnnnnnnnn
Column vector (4, 1) has been rotated to column vector (-1, 4). Which matrix carried out the transformation?
Answer:
C.(3|-4)
Step-by-step explanation:
How to solve 2y-6x=2
Please provide steps only. lol
Answer:
y-x = -6
Step-by-step explanation:
Ok so you have 2y-6x=2
step 1: when you add 6 to 6x it cancels out the 6 then subtract 2 by six and get 2y-x=-4.
step 2: when you add 2 to 2y it cancels out the 2 then subtract -4 by two and get your answer.
i hope this helped
It’s all log base 10
I need help with all of them
Answer:
im not very sure what you marked off i cant really tell what it is in the middle of them
What is the answer to this question please answer will make Brainly
Answer:
BIG Bs
Step-by-step explanation:
how do I solve this complex expression-
(5+2i)+(6i^2-3i+2)
Answer:
1-i
Step-by-step explanation:
Hello,
you know that [tex]i^2=-1[/tex], right?
so
[tex](5+2i)+(6i^2-3i+2)\\\\=5+2i-6-3i+2\\ \\=1-i[/tex]
Thanks
What is the slope of a line that goes through the points (3,7) and (8, 11)
Answer:
The answer is
[tex] \huge \frac{4}{5} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{11 - 7}{8 - 3} = \frac{4}{5} \\ [/tex]
We have the final answer as
[tex] \frac{4}{5} \\ [/tex]
Hope this helps you
-5(-2)=
PLEASE HELP ASAP!!
Answer:
The anwser is 10
Step-by-step explanation:
a negitive times a negitive equals a positive
Answer:
10
Step-by-step explanation:
A negative times a negative equals a positiveSo, -5 × -2 is the same thing as 5 × 25 × 2 = 10I hope this helps!
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice.
Complete Question
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice
a What is the probability that Christine fails the course
b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability
Answer:
a
[tex]P(F) = 0.264[/tex]
b
[tex]P(T | F ) = 0.23636 [/tex]
Step-by-step explanation:
From the question we are told that
The probability that Christine will fail the course if she does not have a tutor is [tex]P(F| T') = 0.42[/tex]
The probability that Christine will fail the course if she has a tutor is [tex]P(F| T) = 0.12[/tex]
The probability that she will find a tutor is [tex]P(T) = 0.52[/tex]
Generally the probability that she will not find a tutor is
[tex]P(T') = 1 - 0.52[/tex]
=> [tex]P(T') = 0.48[/tex]
Generally the probability of failing the course is
[tex]P(F) = P(F \ n \ T) + P(F \ n \ T')[/tex]
=> [tex]P(F) = P(F| T) * P(T) + P(A | T') * P(T')[/tex]
=> [tex]P(F) = 0.12 * 0.52 + 0.42* 0.48[/tex]
=> [tex]P(F) = 0.264[/tex]
Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as
[tex]P(T | F ) = \frac{ P(F | T) * P(T)}{ P(F)}[/tex]
=> [tex]P(T | F ) = \frac{ 0.12 * 0.52}{ 0.264}[/tex]
=> [tex]P(T | F ) = 0.23636 [/tex]
A truck can be rented from Company A for $100 a day plus $0.60 per mile. Company B charges $30 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
80+ 0.3x = 60 + 0.4x
20 = 0.1x
x = 200
Therefore, at 150 miles, the best deal changes companies
Step-by-step explanation:
Find four consecutive even integers whose sum is -4
Dont use this website
Its a sham
Geometry
Please help me with my homework! Thank you!
Answer:
DH, CG, BF
Explanation:
Since the question is asking which lines are parallel to AE and AE is a vertical line, you need to look at the other vertical lines that are making up the sides of the box. These vertical lines are 1. DH 2. CG 3.BF.
Hope this helps.
Let's find 1/2 - 1/6. First, write the subtraction so the fractions have denominator . Then subtract. 1/2 - 1/6 = blank/6 - 1/6 blank/blank
Answer:
1/3 or 0.3 (repeating decimal)
Step-by-step explanation:
The subtraction the fractions gives 1/3.
What is a fraction?The fractions include two parts, numerator and denominator.
Numerator: It is the upper part of the fraction, that represents the sections of the fraction.
Denominator: It is the lower or bottom part that represents the total parts in which the fraction is divided.
Given that are two fractions 1/2 and 1/6, we need to subtract them,
Firstly, equating the denominators,
1/2 = 6/12
1/6 = 2/12
Therefore,
1/2 - 1/6 = 6/12 - 2/12
= (6-2)/12
= 4/12
= 1/3
Hence on subtracting the fractions we get 1/3.
Learn more about fractions click;
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Which equation represents a line which is perpendicular to the line
6x + 7y = -42?
Somebody please help?
Answer:
y = [tex]\frac{7}{6} x - 5[/tex]
Step-by-step explanation:
Given expression:
6x + 7y = -42
To find an equation perpendicular to this, it implies the slope must be a negative inverse of the given one.
Solution:
Equation of any straight line is given as;
y = mx + c
where x and y are the coordinates
m is the slope
c is the intercept
Let us now find the slope of the line;
6x + 7y = -42
7y = -6x - 42
divide through by 7 to give;
y = [tex]-\frac{6}{7} x[/tex] - 6
The slope is [tex]-\frac{6}{7}[/tex]
A line perpendicular will have a slope of a negative inverse;
- ( [tex]-\frac{7}{6}[/tex] ) = [tex]\frac{7}{6}[/tex]
The answer is A.
What is the measure of <2? m<2=31, m<2=50
Answer: invalid input
Step-by-step explanation:
What is the sum of the zeros of the equation (m-4)(3m-2)=0
Answer:
3m^2-14m-8
Step-by-step explanation:
(m-4)(3m-2)=?
m(3m-2) = 3m^2-2m
-4(3m-2) = -12m-8
3m^2-2m-12m-8
3m^2-14m-8