The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.
What are the linear equations that represent this question?
j + t = 33 equation 1
4t = 2j
j = 2t equation 2
Where:
j = number of jolly rangers
t = j = number of twix
How many twix candies does Julianna have?
Substitute for j in equation 1 using equation 2
2t + t = 33
3t = 33
t = 11
How many jolly candies does Julianna have?Subsitute for t in equation 2
j = 11 x 2 = 33
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What are the values of a and b? a = 14, b = 6 a = 14, b = 8 a = 17, b = 6 a = 17, b = 8
The value of a and b given that the opposite side are equal are 17 and 6 respectively
Properties of a kiteThe kite is a quadrilateral with 4 sides and the opposite side of the side are equal. If they are, then;
2a - 4 = 30
2a = 34
a = 17
Similarly
3b+6 = 24
3b = 18
b = 6
Hence the value of a and b given that the opposite side are equal are 17 and 6 respectively
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(√3+√7) (√3-√7) pl and me
[tex]\left( \sqrt 3 + \sqrt 7\right) \left( \sqrt 3 - \sqrt 7\right)\\\\=\left(\sqrt 3 \right)^2 - \left(\sqrt 7 \right)^2\\ \\=3-7\\\\=-4[/tex]
Answer:
- 4
Step-by-step explanation:
([tex]\sqrt{3}[/tex] + [tex]\sqrt{7}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] )
each term in the second factor is multiplied by each term in the first factor.
[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) + [tex]\sqrt{7}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) ← distribute parenthesis
= 3 - [tex]\sqrt{21}[/tex] + [tex]\sqrt{21}[/tex] - 7 ← collect like terms
= - 4
The side of a square is a x-3 , Find the area of the square.
Answer:
x^2 -6x + 9
Step-by-step explanation:
(x-3) (x-3) = x^2 - 6x + 9
Which function has the same minimum value as ? f(x) = 3x 3 f(x) = |x| 3 f(x) = –x2 3
The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.
What is a function?It should be noted that a function simply means a relation or expression that involves two or more variables.
In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.
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Answer:
B. f(x) = /x/ + 3
Step-by-step explanation:
edg 22'
What is the length of the diagonal from B to D of this rectangle? Round your answer to the nearest tenth of a metre.
Answer:
2√97
Step-by-step explanation:
BD² = BC² + DC²
⇒ BD = √BC² + DC²
= √(18)² + (8)²
= √324 + 64
= √388
Rewrite 388 as 2² · 97.
Factor 4 out of 388.
√4(97)
Rewrite 4 as 2².
√2² · 97
Pull terms out from under the radical.
2√97
The result can be shown in multiple forms.
Exact Form:
2√97
Decimal Form:
19.69771560...
Hi Guys. My name is ❀ ❀.
What is 3x+6 if x=5?
A. 21
B. 54
C. 1002
D. 30
Answer:
A is the answer
Step-by-step explanation:
3×5+6=15+6=21
Help please
y + 4- 6(x +7)
Answer: y - 6x +46
Step-by-step explanation:
y + 4- 6(x +7)
y + 4 - 6x +42
y - 6x +46
Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot be used more than once in the combination.
If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be chosen?
84
504
3,024
60,480
Answer:
504 combos
Step-by-step explanation:
Cannot use digits twice and last is '7'
9 digits for first place choice
8 digits for second place
7 digits for third place
only '7' for fourth place 9 x 8 x7 = 504 combos
You can use the rule of product from combinatorics to find out how many ways can the remaining digits be chosen.
The remaining digits for the given condition can be chosen in 504.
Option B: 504
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
Since 7 is already fixed and there is constraint that no two digits can be used, thus, we initially have only 10-1 = 9 digits.
For first place, we can chose 1 digit out of 9 digits in ways,
⁹C₁ = 9 ways
For second place, as one of the digit is used, thus, 1 digit out of 8 digits can be chosen in ways,
⁸C₁ = 8 ways
For third place, as two of the digits is used, only 7 digits are remaining to chose from. Thus, 1 digit out of 7 remaining digits can be chosen in ways.
⁷C₁ = 7 ways
Using product rule, we get:
Total possible number of choices for choosing digits for first, second and third position of lock with given constraints is given as
= 9 x 8 x 7
= 504 ways
Thus, The remaining digits for the given condition can be chosen in,
Option B: 504
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Ali bought 212 pounds of ground turkey at $2.50 per pound and 314 pounds of ground beef at $3.20 per pound.
What was her total cost?
Enter your answer in the box.
Answer:
Step-by-step explanation:
the total cost for this question is $12.10.
let me know if this helped.
Which statements are true? select three options. milk was requested for 16 of the large-sized meal orders. soda was requested for 280 of the kids’ meal orders. a juice box was requested for 82 of the regular-sized meal orders. sixty-three of the orders of soda came with a regular-sized meal. a total of 124 large-sized meals were ordered.
The true statements are:
A. Milk was requested for 16 of the large-sized meal orders;D. Sixty-three of the orders of soda came with a regular-sized meal; andE. A total of 124 large-sized meals were ordered.Calculations and Parameters:Given:
Total no of meals with milk= 71Regular size meals= 55Regular sized meals with soda= 63To find the large size meals that came with milk,
71-55= 16.
Therefore, the total number of large size meals ordered was:
16+22+86 = 124.
Hence, options A, D and E are correct.
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Parents plan to ship some items to their child who is attending college out of town. The
student definitely needs towels, which weigh 9 pounds. The cost is $45 to ship up to 15
pounds.
a. Write and solve an inequality that represents how many pounds the parents can add
to the shipment without having to pay additional shipping costs.
b. The parents want to ship another item in addition to the towels. Which of the
following items can they send without paying extra shipping?
Item
Weight (pounds)
boots
9
tennis rackets
5
dishes
18
soccer equipment
14
1
The student decides that the tennis rackets and the towels are needed. How does
this affect the inequality in part (a)?
The inequality that represents this situation is x ≤ 6. On the other hand, the parents can ship only the tennis rackets.
What equality represents this situation?The equality that represents this situation is x ≤ 6 because the number of pounds that can be added (x) has to be 6 or less than 6.
What other item can they ship?The parents can only ship the tennis rackets because these are 5 pounds which meets the criteria of the inequality.
What happens if the student needs the towels and the tennis racket?The inequality would change to x ≤ 1 because the weight that could be added if he needs these producs changes to only 1 pound.
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Divide.
3.9 ÷ 100,000
Enter your answer as a decimal in the box.
i dont know what to do here
Answer: 0.000039
Step-by-step explanation: i us calculator
Answer:
0.000039.
Step-by-step explanation:
3.9 / 100,000
Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)
filling in the zeroes as you move alomg.
So its 0.000039
Can someone help me with this geometry problem
Answer:
Step-by-step explanation:
If f(x) = 16x^2 – 20x, what is the value of f(3)?
(Pls show work)
Answer:
f(3) = 84
Step-by-step explanation:
To evaluate a function for a specific value of the variable, put the value in the function's expression where the variable is, and do the arithmetic.
__
Sometimes it works well to simplify the expression a bit.
f(x) = 16x^2 -20x = 4x(4x -5)
f(3) = 4(3)(4(3) -5)) = (12)(7)
f(3) = 84
Find the volume of this right triangular prism 5cm 8 cm 3 cm
Answer:
I can help, but can you label which is base, height, and length
Step-by-step explanation:
Joe bought 3 tacos and 1 asada fry for $12.50.
Sam bought 1 taco and 2 asada fries for $13.75.
Write a system of equations that could help you
find the cost of each item.
Answer:
I am not too sure so I deeply apologize for any wrongs, but this is my thinking.
Joe bought each taco for 4 dollars, and bought an asada fry for 50 cents.
On the other hand-
Sam also bought 1 taco for 12 dollars, and bought 2 asada fries, one of them was 1 dollar, and one of them was 75 cents.
if there was 9/15 of leftover pizza, and jimmy ate 5/15 of the leftover pizza, how much of the original pizza did he eat
Answer:
— Work in pizza slices, assuming a dozen per pizza. If I buy 36 slices, and eat 5 slices, and Joe eats 15 slices, there should be 36 - 5 - 15 = 16 slices left.
Step-by-step explanation:
Teresa changed number shr used for her internet password every day. This is how she figured her password:A whole number that is equal to four times the fourth power of the day of the month divided by two times the square day of the month. If today id the 7th day of the month, What is teresa's password?
Using a system of equations, it is found that Teresa's password in the 7th day of the month is of 98.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The rule for her password is defined as follows: A whole number that is equal to four times the fourth power of the day of the month divided by two times the square day of the month. Hence, considering n as the day of the month, the equation is given by:
[tex]P = \frac{4n^4}{2n^2} = 2n^2[/tex]
Hence, for the 7th day, the password is given by:
P = 2 x 7² = 98.
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In Debi's Girl Scout troop, of the girls have brown eyes, of the girls have blue eyes, and of the girls have hazel eyes. What fraction of the
either brown eyes or hazel eyes? [Note: Write your answer in simplest form.]
Save and Exit
Next
Subm
O
-IN
5/6 girls have either blue or brown eyes. Since 2/9=4/18
And 11/18 + 4/18 = 15/18
You can simplify 15/18 to 5/6
A student claims that the equation y = 7 is not a linear equation because it does not have the form y = mx + b. Do you agree or disagree? Why?
Answer:
This is correct because linear equations have to be in slope-int form
Step-by-step explanation:
the average price of a movie ticket was $4.35 in 1996. the average price of a movie ticket was $9.16 in 2020. what was the average rate of change? if this rate continues, predict the cost of a movie ticket in 2025.
Answer:
10.16
Step-by-step explanation:
average change = 9.16 - 4.35 / 2020 - 1996 = 0.2
Cost = 9.16 + (2025 -2020) x 0.2 = 10.16
So the answer is $10.16
Austin worked 28 hours last month and won $8 per hour. he was already spent $19 of your income. How much money does he have left?
Answer:
[tex]\huge\boxed{\sf \$\ 205}[/tex]
Step-by-step explanation:
Work hours = 28 hours
Earning = $8 per hour
1 hour = $8
28 hours = $8 × 28
28 hours = $224
He has earned $224 last month.
Spent = $19
Left:
= Earning - Spent
= $224 - $19
= $205
[tex]\rule[225]{225}{2}[/tex]
Identify the situation below as having a positive correlation, negative correlation, or no correlation.
Explain your answer.
The temperature outside and the amount of ice cream sales at an ice cream shop.
Answer:
positive correlation
Step-by-step explanation:
As the temperature increases, the ice cream sales will increase.
Since both x and y are increasing, this is a positive correlation.
A fair spinner has 12 equal sections: 4 red, 3 blue and 5 green. It is spun twice. What is the probability of getting the same colour twice?
Answer:
25/72
Step-by-step explanation:
Total outcomes :
(5 + 4 + 3)²(12)²144 outcomesP (red twice) :
16/1441/9P (blue twice) :
9/1441/16P (green twice) :
25/1445/12Adding :
1/9 + 1/16 + 5/1216/144 + 9/144 + 25/14450/14425/72Triangle ABC is a right triangle find x
Answer:
25Step-by-step explanation:
from the figure and the values we understand that it is an isosceles right triangle, therefore with the two sides and the 2 angles are congruent,
so x = 25
Which tables could be used to verify that the functions they represent are inverses of each other? select two options.
The tables that can be used to show that the functions that made them are inverses of each other are the tables attached.
Which tables have functions that are the inverse of each other?When functions are inverses of each other, they will give inverted x and y values.
This means that the value of x for one function, will be the value of y for the other function.
The tables that have inverse functions will therefore have a table where x values of:
627, 227, 27, 2, and 27 which will be y values in the other table.
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Mariana ha tirado 20 veces a la canasta y ha fallado la quinta parte de los tiros ¿cuantas canastas a metido?
plissssssssssssssssssssss
Veremos que de los 20 intentos, Mariana metio 16 canastas.
¿Cuantas canastas a metido Mariana?
Sabemos que ella tiro 20 veces, y sabemos que ella ha errado 1/5 de los tiros.
Entonces los otros 4/5 tiros entraron. Para obtener el numero de canastas que ha metido, debemos multiplicar la fracción por la cantidad total de tiros al aro:
C = 20*(4/5) = 16
Así, podemos concluir que Mariana ha metido 16 canastas.
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Find the statement Pk + 1 for the given statement Pk
Step-by-step explanation:
k has to be replaced by k+1.
so,
4 / ((k+1)(k+1 + 3)) = 4 / ((k+1)(k+4))
I am not sure how far your teacher expects you to go with this.
just in case, I will do also the full multiplications
4 / ((k+1)(k+4)) = 4 / (k² + 4k + k + 4) = 4 / (k² + 5k + 4)
and if you need the factor to go from Pk to Pk+1 :
Pk+1 / Pk = (4/((k+1)(k+4))) / (4/(k(k+3)) =
= (4/((k+1)(k+4))) × (k(k+3))/4 =
= (k(k+3)) / ((k+1)(k+4))
What is the solution to this equation?
log + log 3 =
log(+1)
OA I=
OB.
I=
OC
I=
D. = 1
312
NIT
13
Answer:
[tex]\textsf{B.} \quad x=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Log laws
[tex]\textsf{Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]
[tex]\textsf{Equality law}: \quad \textsf{if }\: \log_ax=\log_ay\:\textsf{ then }\:x=y[/tex]
Therefore:
[tex]\large \begin{aligned}\log_6 x+ \log_6 3 & =\log_6 (x+1)\\\log_6 (3x) & =\log_6 (x+1)\\3x & =x+1\\2x & =1\\x & =\dfrac{1}{2}\end{aligned}[/tex]
help help help help help
Answer:
∠ T = 76°
Step-by-step explanation:
RSTU is a cyclic quadrilateral
the opposite angles of a cyclic quadrilateral sum to 180°
∠ T + ∠ R = 180°
∠ T + 104° = 180° ( subtract 104° from both sides )
∠ T = 76°