Answer:
15 because 3x5=15 and 60/4=15
The required number is a factor of 60 and a multiple of 3 are 12, 15, and 30.
Given that,
To determine the number is both a factor of 60 and a multiple of 3.
The factor is defined as the number that can divide another number and gives a perfect real number.
Here,
The factor of 60 are,
2 × 30 = 60
3 × 20 = 60
4 × 15 = 60
5 × 12 = 60
6 × 10 = 60
And also the number which is divisible by 3 are 12, 15, and 30.
Now the number which is a factor of 60 and divisible by 3 are 12, 15, and 30.
Thus, the required number is a factor of 60 and a multiple of 3 are 12, 15, and 30.
Learn more about Factors here:
https://brainly.com/question/24182713
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Order the numbers from least to greatest. 99.98 100.1 98.89 100.01
Answer:
98.89, 99.98, 100.01, and 100.1
Step-by-step explanation:
Answer:
98.89, 99.98, 100.01, 100.1
Step-by-step explanation:
Which coordinate plane represents the linear relationship 4x+5y=20
Answer: y-intercept is 0,4
Step-by-step explanation:
Answer:
I believe its C
Step-by-step explanation:
The x intercept is (5,0) and the y intercept is (0,4)
Here's a video for more help:
ht tps://w ww.you tube .com/w atch? v=hG yK6i v0 Lg8
Please erase the spaces
hope i helped! GL!!
QUESTION ATTACHED!!!! HELP!
Answer:
Your answer is correct- A
Step-by-step explanation:
to get from t to d, you need to multiply by 100.
so d= t times 100 (or 100 times t)
d=100t
What is 1000/234
I need the answer really fast
Step-by-step explanation:
4.2735
you can use calculator to verify
Solve the following word problem. Please show all of your work. "I have
4 more pairs of shoes than my sister. Together, we have 20 pairs of shoes.
How many pairs of shoes does my sister have?"
Answer:
ANSWER: 8
(I think)
Step-by-step explanation:
I kinda just counted it cant be more than 11 because if u have 4 more than it would be 11+15=26 too much and so is ten (both equations show why there too much) 10 10+14=24. Lets try 8 8+12=20 so your sis has 8 pairs
At a trampoline park, jumpers oay a jumping price, p, per hour and a one-time sock fee, s. Which expression represents the cost for 5 friends to jump at the trampoline park for one hour
Answer: (P+S) + 5
Step-by-step explanation:
5= price + sock
What is the value of this expression? {12÷(9−6)}+4×6 Enter your answer in the box.
Answer:
28
Step-by-step explanation:
PEMDAS
P: 9-6= 3
E:
M: 4 x 6= 24
D: 12/ (9-6=3)= 4
A: 12/ (9-6=3) + (4x6= 24) = 28
SIMPLIFIED EQUATION
12/3 + 4x6
4 + 24 = 28
Answer the questions
Answer:
Not sure
Step-by-step explanation:
Not shre
How to write Equation of a line that is perpendicular to the line y=3x-5 and passes through the point (5,10)
g A rotating light is placed 3 meters from a wall. Let W be the point on the wall that is closest to the light. Suppose the light completes a rotation every 15 seconds. Use an inverse trigonometric function to determine how fast the beam of light is moving along the wall when the tip of the light is 1 meter from W. Express your answer in meters per minute.
Answer:
[tex]v=\frac{80}{3}\pi \frac{m}{min}[/tex]
Step-by-step explanation:
In order to start solving this problem, we can begin by drawing a diagram of what the problem looks like (see attached picture).
From that diagram, we can see that we have a triangle we can analyze. We'll call the angle between the vertical line and the slant line [tex]\theta[/tex]. And we'll call the distance between W and the point we are interested in l.
Now, there are different things we need to calculate before working on the triangle. For example, we can start by calculating the angle [tex]\theta[/tex].
From the diagram, we can see that:
[tex]tan \theta = \frac{l}{3}[/tex]
when solving for [tex]\theta[/tex] we will get:
[tex]\theta = tan^{-1} (\frac{l}{3})[/tex]
we could use our calculator to figure this out, but for us to get an exact answer in the end, we will leave it like that.
Next, we can calculate the angular velocity of the beam. (This is how fast the beam is rotating).
We can use the following formula:
[tex]\omega = \frac{2\pi}{T}[/tex]
where T is the period of the rotation. This is how long it takes the beam to rotate once. So the angular velocity will be:
[tex]\omega = \frac{2\pi}{3} \frac{rad}{s}[/tex]
Next, we can take the relation we previously got and solve for l, so we get:
[tex]tan \theta = \frac{l}{3}[/tex]
[tex]l = 3 tan \theta[/tex]
Now we can take its derivative, so we get:
[tex]dl = 3 sec^{2} \theta d\theta[/tex]
and we can divide both sides of the equation into dt so we get:
[tex]\frac{dl}{dt} = 3 sec^{2} \theta \frac{d\theta}{dt}[/tex]
in this case [tex]\frac{dl}{dt}[/tex] represents the velocity of the beam on the wall and [tex]\frac{d\theta}{dt}[/tex] represents the angular velocity of the beam, so we get:
[tex]\frac{dl}{dt} = 3 sec^{2} (tan^{-1} (\frac{l}{3})) (\frac{2\pi}{15})[/tex]
we can simplify this so we get:
[tex]\frac{dl}{dt} = (\frac{2\pi}{5})sec^{2} (tan^{-1} (\frac{l}{3}))[/tex]
we can use the Pythagorean identities to rewrite the problem like this:
[tex]\frac{dl}{dt} = (\frac{2\pi}{5})(1+tan^{2} (tan^{-1} (\frac{l}{3})))[/tex]
and simplify the tan with the [tex]tan^{-1}[/tex] so we get:
[tex]\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{l}{3})^{2})[/tex]
which simplifies to:
[tex]\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{l^{2}}{9}))[/tex]
In this case, since l=1, we can substitute it so we get:
[tex]\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{1}{9}))[/tex]
and solve the expression:
[tex]\frac{dl}{dt} = (\frac{2\pi}{5})(\frac{10}{9})[/tex]
[tex]\frac{dl}{dt} = \frac{20}{45}\pi[/tex]
[tex]\frac{dl}{dt} = \frac{4}{9}\pi \frac{m}{s}[/tex]
now, the problem wants us to write our answer in meters per minute, so we need to do the conversion:
[tex] \frac{dl}{dt} = \frac{4}{9}\pi \frac{m}{s} * \frac{60s}{1min} [/tex]
[tex]velocity = \frac{80}{3} \pi \frac{m}{min}[/tex]
Quaddlateral CART is dilated with the center at the origin and a scale
factor of 6/5
Describe Quaddlateral CART and Quadrilateral C’A’R’T’by completing the
table below with the BEST answer
Answer:
Step-by-step explanation:
Rule for the dilation of a point by a scale factor 'k' about the origin is,
(x, y) → (kx, ky)
If the scale factor for the dilation is [tex]k=\frac{6}{5}[/tex],
Rule for the dilation,
A(x, y) → A'[tex](\frac{6}{5}x,\frac{6}{5}y)[/tex]
If the coordinates of point A' (Image) is given and we have to find the coordinates of point A (Preimage),
Rule for the dilation,
A'(x, y) → [tex]A(\frac{5}{6}x,\frac{5}{6}y)[/tex]
Quadrilateral CART Quadrilateral C'A'R'T'
(x, y) [tex](\frac{6}{5}x,\frac{6}{5}y)[/tex]
C(-5, 15) C'(-6, 18)
A(10, 5) A'(12, 6)
R(-20, -10) R'(-24, -12)
T(-25, 0) T'(-30, 0)
2/5 + 3/4 =
Please Give me The Answer
Answer:
1 3/20
Step-by-step explanation:
2/5 = 8/20
3/4 = 15/20
8/20+15/20 = 13/20
Answer:
23/20
Step-by-step explanation:
To add the fractions we have to make the denominators match so 20 is the least common denominator.
8+15/20
Then add the numerators together and you'll get
23/20
Pls vote me brainliest <3
Given: P is a point on the perpendicular bisector, I of MN.
Prove: PM = PN
Answer:
Step-by-step explanation:
I can't make specific statements about the proof because the midpoint is missing.
Givens
There are two right angles created by where the perpendicular bisector meats MN. Both are 90 degrees.
MN is bisected by the point on MN where the perpendicular meets MN
The Perpendicular Bisector is is common to both triangles.
Therefore the two triangles are congruent by SAS
PM = PN Parts contained in Congruent triangles are congruent.
branlest have a nice day :p
Answer:
1. G
2. C
3. F
4.E
5.A
6.D
Step-by-step explanation: Hope it helps, and please give me brainliest.
What is the quotient of 8/9 ÷ 16/9
Answer:
1/2 or 0.5
Step-by-step explanation:
Raul has $1,200 to deposit into two different savings accounts.
Raul will deposit $450 into Account 1, which earns 4.8% annual simple interest.
He will deposit $750 into Account 2, which earns 3.75 interest compounded annually.
Raul will not make any additional deposits or withdrawals. What is the total balance of these two accounts at the end of 4 years.
(A) $86.40
(B) $1405.39
(C) $536.40
(D) 868.99
Answer:
Compound interest is calculated by;
Initial amount x (100%xinterest%)^(years)
My workings which I also checked with another and they agree doesn't come back to your options. But closest answer is B.
Step-by-step explanation:
$450x(1.048^4) = $542.82
$750x(1.0375^4) = $868.99
$542.82 + $868.99 = $1,411.81
What is the factored form of the expression: x2 - 5x -50
Are these two ratios equivalent? Why or Why not? 4:5 12:15.
Answer:
yes
Step-by-step explanation:
12 ÷ 4 = 3
15 ÷ 5 = 3
yes they are equivalent.
if fencing cost 10$ per foot, and is 4 feet wide and 5 feet long. How much will you need to spend ?
Answer:
$90
Step-by-step explanation:
Identify the slope (m) for y=3x+2.
Answer:
3
Step-by-step explanation:
y=mx+b
the m here is 3
luis wrote a story the number of pages in his story has 17 tens and 9 ones he wrote the number 791 to show the number of pages it luis correct if so explain why?
Answer:
no he is not
Step-by-step explanation:
17 tens + 9 ones
17(10) + 9(1)
170 + 9
179
he wrote 791 but the correct answer should be 179
significa lo mismo el .1 en 20.1 km que en 5.1
por que?
Answer:
Si, en tanto los kilómetros siguen un patrón decimal, al igual que los números enteros.
Step-by-step explanation:
La pregunta refiere a si el .1 implica un mismo valor en 20.1 km que en 5.1, es decir, en un numero sin unidad de medición.
Y la respuesta es positiva, en tanto los kilómetros, al igual que los números enteros, se rigen por un patrón decimal, es decir, donde los números pueden descomponerse en unidades divisibles por diez. Así, el .1 implica que, tanto en el kilómetro como en el numero entero, se trata del 10% del valor de la unidad en cuestión.
Consider an algorithm that uses only assignment statements that replaces the quadruple (w, x, y, z) with (x, y, z, w). What is the minimum number of assignment statements needed?
Answer:
The minimum number of assignment statements needed is 5
Step-by-step explanation:
To write the algorithm, we apply the strategy of interchanging the values of variables in the assignment statements.
Assume "tmp" is the new variable, let assign tmp to w
The algorithm is:
Procedure exchange (w,x,y,z: integers)
tmp := w
w := x
x := y
y := z
z := tmp
return (w,x,y,z)
end
From the algorithm, it is obvious that there will be a minimum of 5 assignment statements needed.
Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
How many total miles will Monica walk and run in a year?
Answer:run:83.43 miles
Walk:39.11 miles
Step-by-step explanation:
There are 52.143 weeks in a year;
So each week she runs 1.6 miles=1.6*52.143=83.43 miles
Walks 0.75 miles=0.75*52.143=39.11 miles
jesuseduardomontiel0 avatar
jesuseduardomontiel0
3 days ago
Mathematics
High School
Daniel has 4.8 pounds of ground beef. He makes 8 burgers of equal amounts. Daniel draws this model to show how much each burger will weigh. Daniel's model correct? Why or why not?
WOW JIMMY. THATS A BIG . BIG. BIG. NUT SACK
write the sum of 7√28x⁶+4√7x⁶ in simplest form, if x≠0
Answer:
18√7x⁶
Step-by-step explanation:
Given the expression 7√28x⁶+4√7x⁶, we are to fund the sum in its simplest form as shown;
7√28x⁶+4√7x⁶
= 7√(7*4)x⁶+4√7x⁶
= 7*2√7x⁶+4√7x⁶
= 14√7x⁶+4√7x⁶
Factor out the like term
= 2√7x⁶(7+2)
= 2√7x⁶(9)
= 18√7x⁶
Hence the sum is equivalent to 18√7x⁶
Answer: 18[tex]\sqrt{7}|x|^3[/tex]
Step-by-step explanation:
Could you please help me I don’t really understand this pleaseeeeeee?
3х + Зу = 21
2x +4y = 22
Answer:
x is 4 and y is 3
Step-by-step explanation:
welcome:)
ABCD is an isosceles trapezoid
Answer:
x = 14
Step-by-step explanation:
Since ABCD is an isosceles trapezoid, we know that AC = BD
Therefore:
x= 3x - 28
Now we can just solve the equation for x:
x - x = 3x - x - 28
0 = 2x - 28
0 + 28 = 2x - 28 + 28
28 = 2x
28/2 = 2x/x
14 = x
x = 14
Hope this helped!
A real estate agent wishes to estimate the monthly rental for apartments based on the size (square feet) and location of the apartments. She chose the model y-Po + β1 x1 + β2 x2 + ε, where x1 represents the square footage of the apartment and 1 if located in town center X2 . This linear regression model was fitted to a sample 0 if not located in town center of size 50 to produce the regression equation below. Complete parts a through c y 175+ 1.2x1 +400x2 a. Predict the average monthly rent for an apartment located in the town center that has 1,750 square feet S(Simplify your answer.)b. Predict the average monthly rent for an apartment located in the suburbs that has 1,100 square feet. $ 1455 (Simplify your answer.) c. Interpret b, in the context of this exercise. Based on these data, and holding the________ constant, it is estimated that an apartment is worth $ more if it located in the town center.
Answer:
$2675 ; $1495 ; $400
Step-by-step explanation:
Given the regression model :
y = 175+ 1.2x1 +400x2
y = average monthly rent
x1 = square footage of apartment
x2 = location ; 1 if located in town center ; 0 if otherwise.
1.)
Predict average monthly rent for an apartment located in town center and has 1750 ft²
y = 175+ 1.2(1750) + 400(1)
y = 175 + 2100 + 400
y = $2675
11.) average monthly rent for an apartment located in the suburbs that has 1,100 square feet.
y = 175 + 1.2(1100) + 400(0)
y = 175 + 1320 + 0
y = $1495
111) An apartment is worth $400 more if located in town center (slope of x2)
An apartment is worth 400 dollars more if located in the center of the town than the located in the suburbs.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.
The given linear regression model is shown below.
[tex]\rm y = 175 + 1.2 x_1 + 400 x_2[/tex]
y = Average monthly rent
x₁ = square footage of apartment
x₂ = location
1. Predict the average monthly rent for an apartment located in the center of town and has 1750 square feet.
y = 175 + 1.2 × 1750 + 400 × 1
y = 175 + 2100 + 400
y = $2675
2. The average monthly rent for an apartment located in the suburbs has 1100 square feet.
y = 175 + 1.2 × 1100 + 400 × 0
y = 175 + 1320
y = $1495
An apartment is worth 400 dollars more if located in the center of the town than the located in the suburbs.
More about the linear system link is given below.
https://brainly.com/question/20379472
