Answer:
6
Step-by-step explanation:
x2
x=3
sub 3 into x
(3)2
=6
Peter is renting two kinds of rafts for a vacation company. One type seats 3
people and the other seats 5 people. If 53 people are using the vacation
company and he rents 13 rafts, how many of each type of raft does he rent?
Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let [tex]x[/tex] denote the number of rafts seating 3 people and [tex]y[/tex] the number of rafts seating 5 people. The total number of rafts is 13, so [tex]x+y=13[/tex]. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so [tex]3x+5y=53[/tex].
It's always a good idea to put these equations under each other:
[tex]\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.[/tex]
We can subtract the first equation three times from the second one to obtain [tex](3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7[/tex]
Now, substitute this found value for [tex]y[/tex] into [tex]x+y = 13[/tex] and we see that [tex]x=6[/tex]. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Someone please help me with this I REALLY NEED HELP ILL GIVE U BRAINLY IF U GET IT RIGHT
Answer:
A
Step-by-step explanation:
Sheri sells 10 tickets every two hours
We plug two hours into Tim's equation --> t=5(2)
t=10
So, in two hours, Tim sells 10 tickets
Cody increased the amount of money he saves each week from $40 to $75. By what percentage did Cody increase the amount of money he saves?
Step-by-step explanation:
75-40= 35
[tex] \frac{35}{40} \times 100\% = 87.5\%[/tex]
At Jonathan's school, there are 30 seventh graders participating in the school play. Of the students in the seventh grade, 60% are not participating in the school play. How many seventh graders at Jonathan's school are not participating in the school play?
Answer:
75
Step-by-step explanation:
If 30 students represent 40% of the class, we can divide 30 by .40 to get 75.
find the y and x intercept for
4x-y=12
Answer:
x intercept: (3,0)
y intercept: (0, -12)
Ms. Orozco's class has 8 boys and 12 girls in the class. What is probability of choosing a girl?
Answer:
12/20 = 3/5
Step-by-step explanation:
hope this helps
for each sequence find the first 4 terms and the tenth term
a) n squared +3
b) 2n squared
Answer:
Step-by-step explanation:
Given that:
a) n³
The first 4 terms are;
let assume n = 1
1³ = 1
if n = 2
2³ = 8
if n= 3
3³ = 27
if n = 4
4³ = 64
So, the sequence is 1, 8, 27, 64
The tenth term of this sequence is: 10³ = 1000
b)
2n²
if the first term is 1
then 2(1)² = 2
if n = 2
2(2)² = 8
if n = 3
2(3)² = 18
if n = 4
2(4)² = 32
So, the sequence is 1, 8, 18, 32
The tenth term will be 2(10)² = 200
Tatiana deposits $600 into a bank account that pays 4.75% interest compounded annually. The expression(1 + 0.0475)t represents the number of dollars in the account after t years for every dollar in the original balance. Which of the following is a reasonable interpretation of the expression 600(1 + 0.0475)t in this context?
A: The amount of interest the account earns after 1 year
B:The amount of interest the account earns after 600 years
C:The amount of money in the account after 1 year
D:The amount of money in the account after t years
Answer:
b
Step-by-step explanation:
Answer:
the answer is d just trust me im doing this test right now
Step-by-step explanation:
if you have three apples and john takes 1 how many do you have
Answer:
you got two apple left I hope this helps
A large company states in its promotional literature that 74% of its employees have college degrees. Assume this claim is true. If 3 employees are selected at random from this company, what is the probability that at least 1 of the selected employees will not have a college degree?
A. 0.0176
B. 0.4052
C. 0.5948
D. 0.9284
Answer:it is 0.5948
Step-by-step explanation:c
The probability that at least 1 of the selected employees will not have a college degree is 0.594776.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,n is the number of trials or sample size,p is the probability of a single success, andq is the probability of a single failure.Given that 74% of the employees have degrees, therefore, 26% of the employees have no degree.
Now, since we want at least any one of the three people selected to have a degree. Therefore, the probability of everyone having a degree can be written as,
Probability that at least any one of the three people selected to have a degree = 1 - Probability of everyone having a degree
Now, using the binomial distribution we can write,
[tex]\text{Probability} = 1 - [^3C_0\cdot(0.26)^0 \cdot (0.74)^{(3-0)}]\\\\\text{Probability} = 1 - 0.405224 = 0.594776[/tex]
Hence, the probability that at least 1 of the selected employees will not have a college degree is 0.594776.
Learn more about Binomial Distribution:
https://brainly.com/question/14565246
#SPJ2
Solve the following system of equations for x using elimination
4x + y = 2
x - y = 3
A. -2
B. 1
C. 3.
D.4
Answer:
A
Step-by-step explanation:
A
Answer:
b 1 ksoeoeskmx
Step-by-step explanation:
ksowoxk374
Translate the given phrase into an algebraic expression.
Three is subtracted from
g
Answer:
g - 3
Step-by-step explanation:
g- 3
Hope that helps!
PLEASE HELP ASAP
Which expression is not equal to 1?
A} sin θ csc θ
B} cos θ sec θ
C] tan θ cot θ
D} sin θ cos θ
Answer:
D} sin theta cos theta
Step-by-step explanation:
Edge
Answer:
D
Step-by-step explanation:
Edge2021
Solution for 1/3p+8=11
Answer:
p = 9
Step-by-step explanation:
A basketball player made 80 baskets in a season. Of these, 20% were three-point shots. Determine the number of three-point shots the player made?
double 2, then divide b by the result
Answer:
can you give me the rest of the problem so i can solve
Step-by-step explanation:
Convert to standard form: 3y -17 = 2x
There are some cubes in a bag.
1/6 of the cubes are red.
The rest of the cubes are blue.
Write the ratio of the number of red cubes to the number of blue cubes.
Give
your answer in the form 1:n
WILL MARK YOU BRAINLIEST
Answer:
the second : the angles are congruent and the side lengths are proportional
3x + 2y = 26
y = 5x
Slove the system
Answer = 2
Step-by-step explanation:
3x + 2(5x) = 26
3x + 10x = 26
13x = 26
26 ÷ 13 = 2
A side of a square is
8 3/2
inches. Using the area formula A = s^2, determine the area of the square.
Answer:
12 inches
Step-by-step explanation:
I need help, I need to find the value of j, thank you
Step-by-step explanation:
[tex] \sin(x) = \frac{8}{10} \\ x = 53.13[/tex]
[tex] \sin(53.13) = \frac{4}{j} \\ j = \frac{4}{ \sin(53.13) } = \frac{4}{0.8} = 5[/tex]
-16(x - 6) -4
B. x > 8
C. x < -4
D. x < 8
s t u p i d study island :') uωu`
Answer:
i think it is c but i am probably super wrong
Step-by-step explanation:
once again... drop the answer or ill drop ur ip :)
Answer:
-11x = -48 +15
x = (-48+15) / (-11)
x = -33 / -11
x= 3
hope that help
Step-by-step explanation:
4e88s45etds8sistzerse8rse85t8ss
Maryanne is making roast chicken for dinner. It takes 2 1/2 hours to cook. She plans to eat dinner at 6:00pm. At what time should she put the chicken in the oven?
Answer:
3:30
Step-by-step explanation:
30 = x + 22
What does x equal to?
Answer:
x = 8
Step-by-step explanation:
30 = x + 22
subtract 22 from both sides
8 = x
Which of the following numbers is not between -2.6 and 1.3 on the number line?
0.5
-2.1
1.4
-1.8
Answer:
1.4
Step-by-step explanation:
-2.6---------------1.3
0.5 is between
-2.1 is between
1.4 is not between
-1.8 is between
Mai solved the equation below incorrectly. Identify Mai's error and then solve the equation correctly.
X-9) = {(x + 18)
3x - 3= kx +9
1
4
X-3=9
1
41
-x = 12
X = 48
What was Mai's error?
Answer: Please see explanation column for answer.
x= -36
Step-by-step explanation:
Step 1
from the attachment, Mai's solving is given as
1/3 (1/2x- 9) = 1/2 (x+18)
1/6x-3= 1/2x+9
1/4x-3=9
1/4x=12
x=48
Mai's error started when he subtracted wrongly 1/2 x from 1/6x which gave him 1/4 x instead of - 1/3 x.
Solving correctly, we have that
1/3(1/2x-9) = 1/2(x+18)
1/6x -3= 1/2x+ 9
taking like terms to like terms
1/6x-1/2x= 9+3
(1-3)/6x= 12
-2/6x= 12
-1/3x= 12
multiplying both sides by -3
-1/3x X -3 = 12 X -3
x= -36
Anyone want points or brainiest here is a question. What is 4-1!
:D
Answer:
it would 41 amiright?
Answer:
4-1=3
Step-by-step explanation:
hope it helps and have a great day :)
solve the matrix and prove that it is equal 0
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0