On a budget of $150, Mrs. Jennings will only be able to take 25 kids to the museum.
Mrs. Jennings has $150 in total and has to spend it on the bus and getting the kids into the museum.
After she spends on the bus, she will be left with:
= Budget - Cost of bus
= 150 - 100
= $50
She then spends $2 per kid. The total number of kids she can bring into the museum is:
= Amount remaining/ Cost per kid
= 50 / 2
= 25 kids
In conclusion, she can only take 25 kids.
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3x+2=23
Please show steps on how to do.
Answer:
x = 7
Step-by-step explanation:
3x+2=23
Subtract 2 from each side
3x+2-2 = 23-2
3x = 21
Divide each side by 3
3x/3 = 21/3
x = 7
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 3x + 2 = 23
Then the value of x will be,
→ 3x + 2 = 23
→ 3x = 23 - 2
→ 3x = 21
→ x = 21 ÷ 3
→ [ x = 7 ]
Hence, the value of x is 7.
which expression is equivalent to the given polynomial expression? (9mn-19m^4n)-(8m^2+12m^4n+9mn)
A. -31m^4n+18mn-8m^2
B. -7m^4n+8m^2
C. -7m^4n+18mn-8m^2
D. -31m^4n-8m^2
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Answer:
D. -31m^4n-8m^2
Step-by-step explanation:
Eliminate parentheses by distributing the minus sign. Then collect terms:
(9mn-19m^4n)-(8m^2+12m^4n+9mn) = 9mn -19m^4n -8m^2 -12m^4n -9mn
= m^4n(-19 -12) +mn(9 -9) +m^2(-8)
= -31m^4n -8m^2 . . . . . matches choice D
Which ordered pairs is a solution to −5x + 3y > 12?
A. (3, 9)
B. (-5, 5)
C. (3, -6)
D. (-2, -5)
E. (2, 8)
F. (-6, 0)
The ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
−5x + 3y > 12
a) (3, 9)
−5x + 3y > 12
-5(3) + 3 (9) > 12
-15 + 27 > 12
12>12
b) (-5, 5)
−5x + 3y > 12
-25 + 15 > 12
-10>12
c) (3, -6)
−5x + 3y > 12
-15 -18 > -12
-23> -12
d) (-2, -5)
−5x + 3y > 12
10 - 15 > 12
-5> 12
e) (2, 8)
−5x + 3y > 12
-10 + 24 > 12
14>12
f) (-6, 0)
−5x + 3y > 12
30 + 0 > 12
30>12
Hence, the ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
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Which set of ordered pairs does not represent a function?
O {(5, -1),(-3, -3), (8,4),(4, -3)}
O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}
O {(-2,1),(-8,0), (6, 7), (8, 7)}
O {(5,-3), (-6,2), (-5,3), (1, 2)}
Answer: set 2 : O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}
Step-by-step explanation: In order for a set of ordered pairs to be a function, then each input can correspond to only 1 output. In the context of your question, this means there cannot be two ordered pairs which have the same x value. The second set of ordered pairs does not represent a function because the input x = -6 corresponds to two different outputs, y = -7 and y = 4.
if f(x)=-4x-5 and g(x)=3-x, what is f(5)?
Answer:
f(5)=
[tex] = 4x - 5 \\ = 4 \times 5 - 5 \\ = 20 - 5 \\ = 15[/tex]
PLEASE PLEASE HELP
Referring to the Fig. in Question #31, the spinner is divided
into equal parts. If you spin the spinner 100 times,
how many times do you expect it to stop on a number
less than 10?
Answer:
75 times
Step-by-step explanation:
Given the diagram, complete the two-column proof and
solve for x.
Answer:
x=7
Step-by-step explanation:
11x+57=15x+29 [Alternate exterior angles]
57-29=15x-11x
28/4=x
7=x
Answer:
Nnnnnnnnnnnnnnn
7x =x
A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?
The answer is 7.25
Step-by-step explanation:
You need to just subtract thr toher numbers to get a differrnce. Then add up all of the differences so that you get thr correct answer.
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 2?
Write your answer as a fraction.
if the lcm of a number is 630 and the HCF is 10 what will be the first number it the second number is 10
Answer:
1000
Step-by-step explanation:
Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3
Answer:
your answer is correct
Step-by-step explanation:
4b² + 8b + 3
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 3 = 12 and sum = + 8
The factors are 2 and 6
Use these factors to split the b- term
4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )
= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term
= (2b + 1)(2b + 3)
Determine the value of x if KL = 4x-2, LM = x +18, and KM = 7x +4.
Answer:
x=6
Step-by-step explanation:
7x+4=4x-2+x+18
2x=12
x=6
y = x ^ 3 - 5x ^ 2 + 6x
Answer:
Step-by-step explanation:
y = x(x^2 -5x + 6) Factor out a common term (GCF)
y = x(x - 2) (x - 3) Factor the trinomial
(x - 2) = 0 (x - 3) = 0 x = 0
Therefore x = 2, 3, or 0
The basketball team scored 49 points in thechampionship game. This is 12 points more than
half of their score in the first round game. How many points did the team score in their first round game?
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answer:
21 and 24
Step-by-step explanation:
21+24=45
Step-by-step explanation:
please mark me as brainlest
A copy machine makes 32 copies per minute. How many copies does it make in 4 minutes and 15 seconds?
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Answer:
136
Step-by-step explanation:
15 seconds is 1/4 minute. We can find the number of copies by multiplying the rate by time:
(32 copies/min)(4.25 min) = 136 copies
The machine can make 136 copies in 4 minutes 15 seconds.
David invested $350 in an account paying an interest rate of 3 % compounded
continuously. Jack invested $350 in an account paying an interest rate of 3%
compounded quarterly. After 5 years, how much more money would David have in
his account than Jack, to the nearest dollar?
Answer:
$0 differenceStep-by-step explanation:
DavidPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number = continuousTime t = 5 yearsTotal in account after 5 years:
[tex]A=Pe^{rt}=350*e^{0.03*5} = 406.64[/tex]JackPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number n = 4Time t = 5 yearsTotal in account after 5 years:
[tex]A = P(1+r/n)^{nt}=350(1+0.03/4)^{4*5}=406.41[/tex]The difference in totals:
$406.64 - $406.41 = $0.23 ≈ $0 rounded to the nearest dollarAfter 5 years Jack will have $0.66 more money in his account than David.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For David, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.
Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75
Hence, after 5 years, David will have $405.75 in his bank account.
For Jack, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.
Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.
Hence, after 5 years, Jack will have $406.41 in his bank account.
Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.
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Find the length of AB to the nearest hundredth
Answer:
The required length of AB is 7.28 units.
Step-by-step explanation:
Hey ! Can anyone help me with this problem please thank you !!
Answer:
2
Step-by-step explanation:
7x + 3 = 8x + 1
2 = x
these are geometry problems.
Check all solutions to the equation. If there are no solutions, check "None."
x1 = 2
Someone please help ASAP!
Answer:
C -2
Step-by-step explanation:
it's -2 since lxl = -2 or 2
Order from least to greatest. 5/12, 2/3, 1/2, 5/6, 3/4A) 3/4, 5/6, 2/3,1/2, 5/12B) 5/12, 1/2, 2/3, 3/4, 5/6C) 1/2, 2/3, 3/4, 5/6, 5/12D) 1/2, 2/3, 5/6, 3/4, 5/12
Answer:
B) 5/12, 1/2, 2/3, 3/4, 5/6
Step-by-step explanation:
You want to get all the fractions to the common denominator, which in this case is 12. once you do this you can easily order them from least to greatest. Here are the fractions with the common denominator.
2/3 = 8/12
1/2 = 6/12
5/6 = 10/12
3/4 = 9/12
Once you have all these with the same denominator, you order them from least to greatest, which gets you the answer (B.)
Can someone help me solve x?
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Answer:
x = 1
Step-by-step explanation:
The diagram is intended to show you that the whole is the sum of the part:
11 = (10x -1) +(2x)
11 = 12x -1 . . . . . . . collect terms
12 = 12x . . . . . . . . add 1 to both sides
1 = x . . . . . . . . . . . divide both sides by 12
The value of x is 1. The lengths of the segments are 9 and 2.
100, 20,4, 0.8, ...
What is the formula for this geometric sequence
Answer:
divide by 5
Step-by-step explanation:
100/5 20 20/5 4 4/5 0.8 etc
What is the distance between the points -1,-3) and (-1,43)? I think I'll die if I don't get the answer soon
Answer:
you mean the midpoint: (-1, 23)
please help me with this sum
Answer:
2880
1950
3960
2240
920
5220
4320
3760
6650
1080
32980 is the sum of all combined
Please allow me to know if this helped you by clicking thank you, rating or brainly!
Miss Hawaii
Answer:
1. 2880
2. 1950
3. 3960
4. 2240
5. 920
6. 5220
7. 5760
8. 3760
9. 6650
10. 1080
100x+300y=1.200
(2/3x+10)/100=(y+20)/300
Answer:
x= -4.284 and y= 1.432
Step-by-step explanation:
Convert 56∘F to ∘C.
Round to one decimal place and do not include units in your answer.
What formula are you using I'm using the one below so hopefully you're able to utilize this.
C = (F-32) ÷ 1.8
C = (56-32) ÷ 1.8
C = ( 24 ) ÷ 1.8
C = 13.3333333
Rounding one decimal place (tenths)
C = 13.3
graph the equation
y=-2x+1
Start by plotting the y-intercept at (0,1).
From that point, count "up 2, right 1" to get a second point on your graph.
If needed repeat that "up 2, right 1" from that second point to get a third point.
Draw the line that connects these 2 or 3 points.
simply each radical 1-4
Answer:
1. [tex]8x\sqrt{yz\\}[/tex] 2.[tex]8xy\sqrt{xz}[/tex] 3.[tex]4x^{2}yz\sqrt{y}[/tex] 4.[tex]7yz\sqrt{xz}[/tex]
Step-by-step explanation:
i cant figure out how to do this please help
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Answer:
∠BEC, ∠CED83°139°90°Step-by-step explanation:
When it comes to angles in a plane, the whole is the sum of the parts.
The little square in the corner of angle BED tells you that is a right angle, so has a measure of 90°. (This is the answer to part 4.) It also tells you that any ray between EB and ED will divide this angle into two complementary angles--angles that have a sum of 90°. There is only one such ray, EC, and it divides angle BED into angles BEC and CED.
1. Angles BEC and CED are adjacent complementary angles.
__
2. The parts of angle AEC are angles AEB and BEC. Angle AEC is the sum of those parts:
∠AEC = 49° +34° = 83°
__
3. Angle AED is the sum of angle AEB and right angle BED:
∠AED = 49° +90° = 139°
__
4. As we saw above, the marking on the figure tells you ...
∠BED = 90°