Answer:
8x +120= 400
Step-by-step explanation:
Let the number of hours Max worked over the summer be x.
Assuming that he had $0 in his bank at the start of summer,
Total savings= 8(number of hours) +120
400= 8x +120
8x +120= 400
To find the value of x, first bring all the constants to one side of the equation.
8x= 400 -120
Simplify:
8x= 280
Divide both sides by 8:
x= 280 ÷8
x= 35
∴ Max worked for 35 hours over the summer.
Managers of a movie theater company want to learn more about what types of premium services their customers who participate in the theater's loyalty program most desire and would be willing to pay a premium price for. The managers use a computer program that selects customers in a lottery style from the company's database to receive an online survey and loyalty points for completing the survey about premium services. What kind of sampling technique do the movie theater managers use
Answer: Simple random sampling
Step-by-step explanation:
Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.
In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.
Two particles have positions at time t given by s1=4t-t^2 and s2=5t^2-t^3. Find the velocities
Step-by-step explanation:
Given that,
The positions of the first particle,[tex]s_1=4t-t^2[/tex]
Velocity,
[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]
Position,
[tex]s_2=5t^2-t^3[/tex]
[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]
Hence, this is the required solution.
What is the volume of the cylinder to the nearest whole number?
Answer:
[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]
Show all work to multiply (3+ Square root of -16)(6- square root of -64)
Answer:
1042-96i
Step-by-step explanation:
(3 + 16i)(6 - 64i)
6(3 + 16i)(3 - 32i)
(6) 9 - 96i + 48i +1024
A nunber when divided by 12 gives remainder 7 if the same number is divided by 6 the remainder must be ?
Answer:
1
Step-by-step explanation:
Let the number be n.
We are given:
n/12=q1+(7/12) where q1 is the quotient
n/6=q2+(?/6) where q2 is the quotient and ? is the remainder value we are trying to find.
? must be a integer between 0 and 5, inclusive. A remainder cannot be bigger than or equal to the divisor.
Let's rewrite the first equations
Multiply equation 1 on both sides by 2:
n/6=2q1+7/6
Remainder cannot be 7.
Rewrite again.
6 goes into 7 1 time with remainder 1.
n/6=2q1+(1+1/6)
n/6=(2q1+1)+1/6
So q2=2q1+1 and the remainder is 1 when dividing n by 6.
For fun. What is a number n with such conditions on it?
So what number has remainder 7 when divided by 12 and a remainder 1 when divided by 6.
n=12q1+7
n=6q2+1
If q1=1, we find a number right away that works.
19/12=1+7/12
19/6=3+1/6
NO LINKS!!! JUST ANSWER PLS AND ILL GIVE BRAINLIEST
A solid wooden block in the shape of a rectangular prism has a length, width and height
Step-by-step explanation:
Volume of the block
[tex] = lbh[/tex]
[tex] = \frac{3}{8} \times \frac{1}{8} \times \frac{5}{8} [/tex]
[tex] = \frac{3 \times 5}{ {8}^{3} } [/tex]
[tex] = \frac{15}{512} [/tex]
Please help!!
y= 1/2 x + 2
One equation in a system of two linear equations is
shown above. If the system has one solution (x, y),
where x = 2, which of the following could be the
other equation in the system?
A) y = -2x + 4
B) y = -x+ 5
C) y = 2x
D) y = 2x + 1
Answer: B) y = -x+ 5
Step-by-step explanation:
If the x-value in the solution (x, y) is 2, then the y-value is:
[tex]y=\frac{1}{2} (2)+2 = \frac{2}{2} +2=1+2=3[/tex]
So the solution coordinate is (2, 3).
Test each of the answer choices to see if whether the y-value is 3 when the x-value is 2. If it's true, then it could be the other equation in the system.
A) y = -2x + 4
[tex]y = -2x + 4\\\y = -2(2) + 4 = -4 + 4 = 0[/tex]
B) y = -x+ 5
[tex]y = -x+ 5\\y = -(2) + 5 = 5 - 2 =3[/tex]
C) y = 2x
[tex]y=2x\\y=2(2)=4[/tex]
D) y = 2x + 1
[tex]y = 2x + 1\\y=2(2)+1=4+1=5[/tex]
From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building?
Answer:
188 m
Step-by-step explanation:
[tex] \tan(12) = \frac{40}{x} \\ x = \frac{40}{ \tan(12) } \\ x = 188[/tex]
Answer:
I think that the other answer is WRONG
tan(12) = [tex]\frac{x}{40}[/tex]
x = tan(12)*40 = 8.5
Step-by-step explanation:
[tex]\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x}[/tex] = 8.5
How can you represent 1/2 on a 10-by-10 grid?
Answer:
Represent 1/2 by covering 50 squares.
Step-by-step explanation:
There are 100 squares in a 10-by-10 grid.
1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.
The price of a radio is marked as rs 7500 if shopkeeper allows 20 % Discount and adds 13 % VAT . how much customer pay for radio
Answer:
a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)
Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n
Answer:
9 < x
6 - f
t × 6
1/2n
Step-by-step explanation:
Given expressions:
9 less than x
Less than (<)
9 less than x = 9 < x
6 minus f
Minus (-)
= 6 - f
t multiplied by 6
Multiplication (×)
= t × 6
one half of a number n
One half = 1/2
one half of a number n
= 1/2 × n
= 1/2n
= n/2
If 260 people donated $10.00 to an organization how much money would said organization have received in total?
Answer:
$ 2,600
Step-by-step explanation:
It's given that 260 People donated $10 is to an organisation . We need to find the total money received by the organisation .
Here we just need to the number of people with the amount each person gave , that is ;
[tex]\implies \rm Total \ amount = \$ 10 \times 260 \\\\\rm\implies Total \ amount = \$ 2,600 [/tex]
Hence the total money received by the organisation is $ 2600 .
Apples are 6 for $1.50 and oranges are 5 for $3.00. How much does it cost to buy 2 apples and 2 oranges Help me solve show me the steps
Answer:
$1.70
Step-by-step explanation:
To figure out how much each apple costs, divide $1.50 by the quantity of apples (6). The answer to that is $0.25, so multiply it by the two apples to get $0.50.
For the oranges, divide $3 by 5. The answer for that is $0.60. Multiply that by the two oranges to get $1.20.
Then, add $0.50 to $1.20 to get a total of $1.70
Answer:
$1.70
Step-by-step explanation:
We know that you can buy 6 apples for $1.50 and 5 oranges for $3.00. So let's look at the cost for one individual apple first.
To find the amount/apple we can divide $1.50 by 6. Here's another way to look at it:
Assume A is cost per apple.
6A = $1.50
6A/6 = $1.50/6
A = $0.25
Now to find the amount for 2 apples, you want to multiply the amount it costs for one apple by 2, because you are multiplying the quantity by 2 as well.
A= $0.25
A *2 = $0.25 * 2
2A = $0.50
So for two apples, it is 50 cents.
We can use a similar process for oranges but with a different price and quantity.
Assume R is cost per orange.
5R = $3.00
5R/5 = $3.00/5
R = $0.60
To find the amount for two oranges we multiply the cost by two.
R = $0.60
R*2 = $0.60*2
2R = $1.20
Finally, we want the total amount for apples AND oranges so we find the sum.
$0.50 + $1.20 = $1.70
The price of a jacket usually costing £50 is increased to £65.
Work ou the percentage increase.
Answer:
So the answer is 30%
Step-by-step explanation:
1. For 50 = 15 increase euros
2. For 100 = 15/50 x 100 = 30 increase in euros
3. 30/100 = 30%
OR....
1. Ten percent of 50 is 5.
2. 5x3= 15(increase in euros)
3. 10 percent three times which is equal to 30%.
Complete the function for this graph.
Answer:
[tex]y=|x-(-2)|+2[/tex]
Step-by-step explanation:
Hope this is helpful.
The required absolute function is given as y = |x - 2| + 2.
Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2
Thus, The required absolute function is given as y = |x - 2| + 2.
learn more about function here:
brainly.com/question/21145944
#SPJ2
Pls answer this pls pls
1) 520
2)60
3)2600
4)3760
Answer:
1. 520
2. 60
3. 2600
4. 3760
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
Solve for x. Round to the nearest tenth of a degree, if necessary
Step-by-step explanation:
here's the answer to your question
If 12x = 60, what is the last step to solve for x?
A. multiply 12 to both sides
B. subtract 12 from both sides
C. add 12 to both sides
D. divide 12 from both sides
Answer:
D. divide 12 from both sides
Step-by-step explanation:
12x = 60,
Divide each side by 12
12x/12 = 60/12
x = 5
We have to find,
The last step to solve for x,
→ 12x = 60
Then use option (D),
D. divide 12 from the both sides,
→ 12x = 60
→ 12x/12 = 60/12
→ x = 5
Hence, option (D) is last step.
Can someone help with problems fivethroughseven
Answer:
5) 15120
6) 11880
7) 336
Step-by-step explanation:
The formula for permutation where mPn is m!/(m-n)!
Applying this to question 5, we get 9!/4!, which is 15120.
For question 6, we get 12!/8!, which is 11880.
For question 7, we get 8!/5!, which is 336.
Can someone help me with this math homework please!
Answer:
The vertical line test can be used to determine whether a graph represents a function.
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is [tex]t = 2(\frac{2h}{32} )\frac{1}2[/tex] , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answer:
8 inches
Step-by-step explanation:
Given:
t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).
Step 1: First Player
0.9 = 2 * sqrt( 2h/32 ) / ^2 ( we will square both sides of equation )
0.81 = 4* 2h/32
0.81 = h/4
h 1 = 0.81 * 4 = 3.24 ft
Step 2: Second Player
0.8 = 2 * sqrt( 2h/32 ) /^2
0.64 = 4 * 2 h/32
h 2 = 0.64 * 4 = 2.56 ft
Step 3: Simplify
h 2 - h 1 = 3.24 - 2.56 = 0.68 ft
and since 12 in = 1 ft:
0.68 * 12 = 8.16 in ≈ 8 in.
3. The following are the scores you shot in five rounds of golf: 70,80,75,75,80. The variance is: A. 3.74 C. 14 B. 196 D. 70
Answer:
Option C.
Step-by-step explanation:
For a given set of N elements:
{x₁, x₂, ..., xₙ}
The mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the variance is given by:
[tex]v = \frac{(x_1 - M)^2 + (x_2 - M)^2 + ... + (x_n - M)^2}{N}[/tex]
Then for our set:
{70, 80 ,75, 75, 80}
We have 5 elements, then N = 5
The first thing we need to find is the mean.
[tex]M = \frac{70 + 80 + 75 + 75 + 80}{5} = 76[/tex]
Then the variance will be:
[tex]v = \frac{(70 - 76)^2 + (80 - 76)^2 + (75 - 76)^2 + (75 - 76)^2 + (80 - 76)^2}{5} = 14[/tex]
The correct option is C, 14.
if A×B ={(-1,1),(-1,2),(2,1),(2,2),(3,1),(3,2)}. find A×A and B×B. i need for exam.
Answer:
hope this will help you more
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you
stay safe healthy and happy
A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]0 \to[/tex] Correct
[tex]1 \to[/tex] Defective
Required
The probability that the next is defective
The question is incomplete because the list of bottles that came out is not given.
However, the formula to use is:
[tex]Pr = Num ber\ o f\ d e f e c t i v e \div T o t a l\ b o t t l e s[/tex]
Take for instance, the following outcomes:
[tex]0\ 1\ 0\ 0\ 0\ 1\ 0\ 0\ 1\ 1\ 0\ 0\ 0\ 1[/tex]
We have:
[tex]Total = 14[/tex]
[tex]D e f e ctive = 9[/tex] --- i.e. the number of 0's
So, the probability is:
[tex]Pr = 9 \div 14[/tex]
[tex]Pr = 0.643[/tex]
Answer:
1/20
Step-by-step explanation:
000000000000100000
It is asking the probability of a defective bottle
there is one defective bottle out of 20
brainlest if correct !!!!!
Answer: C. x > 0
Step-by-step explanation:
It is an empty circle, meaning the value of 0 is not included in the inequality, so it's not ≤ or ≥.The arrow goes to the right, towards values greater than 0, therefore it is > and not <.The answer would be x > 0.
Answer:
C
Step-by-step explanation:
Use the elimination method to solve the system of equations
2x+3y=8
x-y=9
Answer:
Step-by-step explanation:
Answer: x = 7 and y = -2
Step-by-step explanation:
2x +3y = 8 ----------------(1)
x-y = 9 ----------------------(2)
multiply (2) by 2
2x-2y = 18--------------------(3)
subtract (2) from (3)
-5y = 10
Divide bothside by -5
y = -2
Similarly, multiply (2) by 3
3x-3y = 27-----------------------(4)
add (1) and (4) together
5x = 35
Divide bothside by 5
x= 7
Therefore, x =7 and y= -2
Please help me with this one.. it's due today!!!
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Hi!
[tex]P_{\square}=5^2=25 \ in.^2\\\\P_{\triangle}=\frac{1}{2}\cdot5\cdot5=\frac{1}{2}\cdot25=12,5 \ in.^2\\\\P_c=25+4\cdot12,5=25+50=\boxed{75 \ in.^2}[/tex]
Which point represents the unit rate?
Please help ASAP...will give brainliest
Answer:
The answer is 90cm
Step-by-step explanation:
Hello,
Lateral area = (3+3+3+3)*6=4*3*612*6=72 (cm²)
Bases area= 2*3²=18 (cm²)
Total area= 72+18=90 (cm²)
