Answer: 40
Step-by-step explanation:
Answer:
40 basketballs in 5 hours
Step-by-step explanation:
If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8
Multiply how much she can make every hour by the amount of hours.
8 x 5 = 40
You can rent time on computers at the local copy center for a $9 setup charge and an additional $150 for every 5 minutes. How much time can be rented for $26?
Select the correct choice below and fill in the answer box to complete your choice
A. The independent variable is time (t) in minutes, and the dependent vanable is rental cost (), in dollars. The linear function that models this situation is
(Simplify your answer. Do not include the $ symbol in your answer)
B. The independent variable is rental cost (t), in dollars, and the dependent variable is time (t), in minutes. The linear function that models this situation ist
(Simplify your answer. Do not include the 5 symbol in your answer.)
minutes can be rented for $26
(Round to the nearest minute as needed)
A linear model
reasonable for this situation
Answer:
(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t +8
The time that can be rented for $26 = 1min
Step-by-step explanation:
Based on the information given:
Setup charge on Rent at local copy center = $9
an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.
For every 5min = $150
For 1 min = $150/5
For t min = 150t/5
Where t = number of minutes of rental time
Rental cost = set up charge + additional cost
Let Rental cost = R(t)
R(t) = 9 + 150t/5
Writing it in form of a linear equation: y = mx + c
R(t) = 150t/5 +9
R(t) = (150/5) ×t + 9
R(t) = 30t + 9
The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t + 9
The time that can be rented for $26:
Rental cost = $26
R(t) = 30t +9
26 = 30t +9
26-9 = 30t
17 = 30t
t = 17/30 = 0.57
t is approximately = 1min (nearest minute)
The time that can be rented for $26 = 1min
PLEASE HELP. Will give brainliest to whomever answers first.
Answer:
2π/3 I believe !
Step-by-step explanation:
Five state officials are listed to the right. a. List the 10 possible samples (without replacement) of size 3 that can be obtained from the population of five officials. Governor (Upper G) Lieutenant Governor (Upper L) Secretary of State (Upper S) Representative (Upper R) Press Secretary (Upper P) b. If a simple random sampling procedure is used to obtain a sample of three officials, what are the chances that it is the first sample on your list in part (a)? the second sample? the tenth sample? a. List all 10 possible samples (without replacement) of size 3. Use the letter abbreviation for each official.
Answer:
All possible are:
(G,L,S)
(G,L,R)
(G,L,P)
(G,S,R)
(G,S,P)
(G,R,P)
(L,S,R)
(L,S,P)
(S,R,P)
{L,R,P)
Probability of 1st/2nd/10th sample = 1/10
Step-by-step explanation:
All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.
Total Numbers of Samples = 10
To find the probability of finding the first sample from random sampling procedure,
Probability = Number of desired outcomes/ Total number of outcomes
Where Number of desired outcome is 1 and total number of outcomes is 10.
Probability = 1/10
Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10
Possible samples:
(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).
a) Given:
Population size [tex]N=5[/tex].
Sample size [tex]n=2[/tex]
Possible sample (without replacement)
[tex]\Rightarrow 5C_{2}=\frac{5!}{2!\times 3!}[/tex]
[tex]=\frac{5\times 4}{2}[/tex]
[tex]=10[/tex]
[tex]10 samples:-[/tex]
Governor, Lieutenant Governor, secretary of state, Attorney General, Press (P)
Possible samples:
(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).
b) Event: [tex]E\to[/tex]choosing sample second and tenth.
[tex]E=\left\{\left ( G,S \right ),\left ( A,L \right ) \right\}\\n\left ( E \right )=2\\n(S) =10[/tex]
The Probability of that it is the first sample.
Second and tenth sample[tex]=\frac{n\left ( E \right )}{n(S)}[/tex]
[tex]=\frac{2}{10}[/tex]
[tex]=\frac{1}{5}[/tex]
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I don’t understand, what’s the answer and why?
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Answer:
C. x²+12x+36
Step-by-step explanation:
Since a square's area is figures out with [tex]length^{2}[/tex] and since the length is x+6, then we get:
(x+6)²=
(x+6)(x+6)=
Use FOIL method.
First: x²
Outer: 36
Inner: 6x
Last: 6x
x²+36+6x+6x=
x²+12x+36
The answer that fits is C. x²+12x+36.
Answer:
C. x²+12x+36
hope this helped
Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters. In parallelogram PQSR, what is PQ
Answer:
9 cm
Step-by-step explanation:
Since PQ and RS are opposite each other, then in a parallelogram, the lengths will be congruent.
Therefore 2x+5=4x+1
2x=4
x=2
If you plug x=2 into the the original equation, you get 9 cm.
The measure of PQ is 9 centimeters.
Important information:
In parallelogram [tex]PQSR, PQ=(2x+5),RS=(4x+1)[/tex]Parallelogram:The oppositie sides of a parallelogram are equal.
[tex]PQ=RS[/tex]
[tex]2x+5=4x+1[/tex]
[tex]5-1=4x-2x[/tex]
[tex]4=2x[/tex]
Divide both sides by 2.
[tex]2=x[/tex]
Now, find the measure of PQ.
[tex]PQ=2x+5[/tex]
[tex]PQ=2(2)+5[/tex]
[tex]PQ=4+5[/tex]
[tex]PQ=9[/tex]
Therefore, the measure of PQ is 9 centimeters.
Find out more about 'Parallelogram' here:
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How many solutions exist for the system of equations 3x+y=18 3x+y=16
Answer:
no solutions
Step-by-step explanation:
Subtract the two equations
3x+y=18
-(3x+y=16)
--------------------
0 + 0 = -2
0 does not equal negative 2
This is never true so there are no solutions
Answer:
The number of solutions is 0.
Step-by-step explanation:
The x and y terms are equal. The constants are different. The lines are parallel. No solution.
PLEASE HELP WILL MARK BRAINLIEST
Find the area of the right triangle.
Answer:
Step-by-step explanation:
This right triangle is on a grid.
The area is the height * base/2
The base is on a line segment parallel to the x axis which is 6 squares.
The height is on a line segment parallel to the y axis which is 2 squares
The area is the height * base /2
Area = 6 * 2 /2 = 12/2 = 6 square units.
Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.
128 Superscript StartFraction x Over 3 EndFraction
128 Superscript StartFraction 3 Over x EndFraction
(4RootIndex 3 StartRoot 1 EndRoot)x
(4 (2 Superscript one-third Baseline) ) Superscript x
(2)x
Answer:
(A)[tex]128^{x/3}[/tex]
(D)[tex](4(2^{1/3}))^x[/tex]
Step-by-step explanation:
We want to determine which of the expression is equivalent to:
[tex]\sqrt[3]{128}^ x[/tex]
By the law of indices:
[tex]\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}[/tex]
Similarly:
[tex]\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x[/tex]
The expressions that are equivalent to (∛128)ˣ are; (128)^(x/3) and (4(2^(1/3))ˣ
How to use law of indices?We want to find the expression that is equivalent to (∛128)ˣ
From law of indices, we have that;
(∛128)ˣ = [(128)^(1/3)]ˣ
This can be further expressed as;
(128)^(x/3)
Similarly, we have the simplified expression at;
[(128)^(1/3)]ˣ = (64 * 2)^(x/3)
⇒ (4³ * 2)^(x/3)
⇒ (4(2^(1/3))ˣ
Read more about law of indices at; https://brainly.com/question/11761858
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Which ratios is equivalent to 12 over 2 ?
Answer: 12:2, 6:1, 24:4
Step-by-step explanation:
The volume of a sphere is 45001 m3. Find the length of the radius
of the great circle.
Answer:
[tex]\large \boxed{\text{22.07 m}}[/tex]
Step-by-step explanation:
The formula for the volume (V) of a sphere is:
V = ⁴/₃πr³
We can use this equation to calculate the radius (r).
[tex]\begin{array}{rcl}45001 & = & \dfrac{4}{3} \pi r^{3}\\\\33750 & = &\pi r^{3}\\10740 & = &r^{3}\\r & = & \textbf{22.07 m}\\\end{array}\\\text{The radius of the great circle is $\large \boxed{\textbf{22.07 m}}$}[/tex]
expand and simplify the equation
Answer:
7x+12
Step-by-step explanation:
5(3x+2) - 2(4x-1)
Distribute
15x + 10 -8x+2
Combine like terms
7x +12
9) A grandmother is nine times older than her grandson. If she is also 56 years older than
him, what is the age of her grandson after 6 years?
a) 7 years
b) 9 years
c) 11 years
d) 13 years
Answer= 13 years
Solution,
Let the age of grandmother be y
Let the age of grandson be X
according to question,
9x=y ( equation I)
X+56=y( equation ii)
Substituting,
9x=x+56
or,9x-x=56
or,8x=56
or,X=56/8
X=7
Again,
Age of grandson after 6 years
=7 years+6 years
=13 years
Hope it helps
Good luck on your assignment
The age of her grandson after 6 years is 13 years.
What is the algebraic equation?A mathematical statement in which two expressions are set equal to each other is known as an algebraic equation. A variable, coefficients, and constants are commonly included in an algebraic equation.
How to solve this problem?Let the age of the grandmother be x and the age of her grandson be y.
Since the grandmother is 9 times older than her grandson, we can write
x = 9y ...(1)
Since the grandmother is 56 years older than her grandson, we can also write
x = y + 56 ...(2)
We have to solve these two algebraic equations.
Equating the L.H.S. of (1) and (2),
9y = y + 56
i.e. 9y - y = 56
i.e. 8y = 56
i.e. y = 56/8 = 7
So, now the age of her grandson is 7 years.
Therefore the age of her grandson after 6 years is 6+7= 13 years.
Know more about algebraic equations here -
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Expand and simplify . 4a(2+3b)-5b(4a-10). PLEASE HELP. BEST ANSWER RECEIVES A BRIANLIEST
Answer:
12a+62b
Step-by-step explanation:
4a(2+3b)-5b(4a-10)
opening brackets
=8a+12b-20a+50b
=8a-20a+12b+50b
=-12a+62b
Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?
Answer:
$ 809.78
Step-by-step explanation:
Given that
F = future value = $50,000
Interest rate = r = 1.45% = 0.0145
Number of period per year = 12months
Time expressed in years = 5years
The present value of a periodic deposit
P =( F ×r/n)/{ (1+r/n)^nt} -1
Substituting the values into the above formula
P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1
= 50000×0.001208/(1+0.0012)^60}-1
= 60.4/1.0012)^60}-1
60.416/1.074608-1
60.4/0.07460
= $ 809.779
His monthly deposit will be $ 809.78
Solve.
a + 1 = Vb + 1 for b.
Answer:
b = a² + 2a
Step-by-step explanation:
a + 1 = √(b + 1)
(a + 1)² = b + 1 (Square both sides)
a² + 2a + 1 = b + 1 (Expand left side)
a² + 2a = b (Subtract 1)
Find the y-intercept of the following equation. Simplify your answer.
y = 7x + 3
y-intercept =
Answer:
y-intercept is 3
Step-by-step explanation:
This equation is a linear equation [tex]y=mx+b[/tex].
m is the slope.
b is the y-intercept.
[tex]y=mx+b[/tex] is the same as [tex]y=7x+3[/tex]
7 would be the slope.
3 would be the y-intercept.
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.
The equation 2b + 6 = 70 represents the given scenario. What does b represent?
Answer:
32
Step-by-step explanation:
2b+6=70
-6=70-6=64
[tex]\frac{2b}{2}[/tex]=64÷ 2
b=32
beaten it's a visable line beween the equal line
84 is 12%of what number
please hurry!!!!!!
Answer: 700
84 is 12% of What Number:
12% of 700 is 84
100% of 700 is 700, therefore 12 percent of 700 equals 84.
To check this, 12% of 700 IS 84 (Check on Calculator)
Hope this helps!!
Un cazador se encuentra en la parte mas alta de un arbol. Para averiguar a que altura se encuentra, deja caer una bola, observando que demora 4 segundos. Encuentra el alto del arbol (g=10m/s2)
Answer:
80 m
Step-by-step explanation:
La velocidad inicial de la pelota es 0 m/s.
La altura del árbol es s.
El tiempo necesario es de 4 segundos.
Podemos aplicar una de las ecuaciones de movimiento de Newton:
[tex]s = ut + \frac{1}{2}gt^2[/tex]
donde u = velocidad inicial
t = tiempo empleado
g = aceleración debido a la gravedad
Por lo tanto:
[tex]s = 0 * 4 + (1/2 * 10 * 4^2)\\\\s = 0 + 80 \\\\s = 80 m[/tex]
El árbol tiene 80 metros de altura.
What is the measure of c?
1489
42°
С
90°
422
489
O 42°
O 48°
O 90°
0 180°
Please help me with this question
(3 1/4 + 2 5/6) + 1 3/4
19/6
Step-by-step explanation:
3/4 + 5/3 +3/4
3/4 + 3/4 = 3/2
3/2 + 5/3 =19/6 or 3.16....
Solve for x. -7x= -8x+7
Answer:
x = 7
Step-by-step explanation:
-7x= -8x+7
Add 8x to each side
-7x+8x= -8x+8x+7
x = 7
Answer:
The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]-7x = -8 x + 7[/tex]
Add both sides by [tex]8x[/tex]:
[tex]-7x + 8x = -8x + 8x + 7[/tex]
[tex]x = 7[/tex]
So, the final answer is [tex]x = 7[/tex] .
Factorise polynomials 15^2p-7p
Answer:
p ( 15p - 7)
Step-by-step explanation:
15 p^2 - 7p
The only common term is p so factor out p
p ( 15p - 7)
____________________________
15p^2-7p
take the common,
Ans: p(15p-7)
hope it helps
Good luck on your assignment
__________________________
Please help me with my question!!!
Answer: They can make 18 ornaments
Step-by-step explanation:
you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)
I will mark you brainliest!!! Select the answer that includes the correct explanation.
Answer:
Linear. The choice A is correct.
Step-by-step explanation:
In an election of housing society,there are 30 voters.Each of them gives the vote.Three persons X,Y and Z are standing for post secretary.If Mr.X got 2/5 of the total votes and Me.Z got 1/4 of the total votes then how much did Mr.Y get?
Answer:
Mr Y got 10 votes
Step-by-step explanation:
The election of the housing society has 30 voters. Each of them gives the vote. The three person vying for the post of secretary are X, Y and Z.
Le us calculate the votes of each contestant
Mr X
He got 2/5 of the total votes
number of votes = 2/5 × 30
number of votes = 60/5
number of votes = 12
Mr Z
He got 1/4 of the total votes
number of votes = 1/4 × 30
number of votes = 30/4
number of votes = 1/4 × 30
number of votes = 7.5 ≈ 8 votes
Mr Y
The remaining votes will be 30 - 12 - 8 = 10 votes
Therefore,
Mr Y got 10 votes
HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. Obtuse
Step-by-step explanation:
Supplementary Angles: either of two angles whose sum is 180°
Adjacent: have a common side, a common vertex, and don't overlap
4x + 3y - 8z
-5x + 7y + 10Z
(+) - 4x – 3y - 8z
Answer:
and 4x-5x-4x+3y+7y-3y-8z+10z-8z
-5x+7y-6z :this is the answer
