Answer:
2.66666666667
Step-by-step explanation:
two over three divided by one over four is 2.66666666667
what is e( f + g) as a distributive property and in expanded form?
7. Evaluate square root 64. 121.
Answer:
88
Step-by-step explanation:
[tex]\sqrt{(64)(121)}\\\sqrt{64} \sqrt{121} \\(8)(11)\\88[/tex]
The square root of 64×121 is 88.
What is square root of a number?Square root is a factor of a number that, when multiplied by itself, gives the original number.
According to the given question
We have to find the square root of 64 × 121
The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2
And the prime factorization of 121 is 11 × 11.
Therefore the square root of 64 × 121 is given by
[tex]\sqrt{(64)(121)} =\sqrt{(2)(2)(2)(2)(2)(2)(11)(11)} = (11)(2)(2)(2)=88[/tex]
Hence, the square root of 64×121 is 88.
Find out more information about square root here:
https://brainly.com/question/1527773
#SPJ2
f (x) = 3x - 5, find f (7)
Answer:
f(7) = 16
Step-by-step explanation:
substitute x = 7 into f(x) , that is
f(7) = 3(7) - 5 = 21 - 5 = 16
An amusement park ride lifts seated riders 265 feet above the ground. The riders are then dropped and experience free fall until the brakes are activated 105 feet above the ground. The function h=-16t^2+265 represents the height h (in feet) of the riders t seconds after they are dropped. How long do the riders experience free fall? Round your solution to the nearest hundredth.
The riders experience free fall for about ___ seconds.
Answer:
The riders experience free fall for about 3.12 seconds.
Step-by-step explanation:
Find t when h = 105
105= [tex]-16t^{2} +256[/tex]
0= [tex]16t^{2}[/tex] +160
0 = -16([tex]t^{2}[/tex]-10)
[tex]t^{2}[/tex] - 10 = 0
[tex]t^{2}[/tex] = 10
[tex]t = \sqrt{10}[/tex]
The riders experience free fall for about 3.16 seconds.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find how long the riders experience free fall, we need to find the time when the height is 105 feet above the ground.
So, we need to solve the equation:
-16t² + 265 = 105
Adding 16t² to both sides, we get:
16t² = 160
Dividing both sides by 16, we get:
t² = 10
Taking the square root of both sides, we get:
t = ±3.16
Since we are only interested in the positive value of t, we can round 3.16 to the nearest hundredth to get:
t = 3.16 seconds
Therefore,
The riders experience free fall for about 3.16 seconds.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ3
Select the correct answer.
A bicycle wheel company packages each wheel in a square box. Each wheel has a circumference of about 56.5 inches. What is the approximate length of each side of the box?
A.
81 in
B.
18 in
C.
24 in
D.
9 in
Answer:
the correct answer is B. 18 in
In a certain town there were 247 robberies last year. This year the number of robberies has gone down 27%. How many robberies were there this year, to the nearest whole number?
How many gallons of paint will you need in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet?
Answer:42 x27
Step-by-step explanation:Calculate how much paint and primer you need by entering the dimensions of your room below. Estimate how many gallons are needed based on average paint/primer coverage. Optionally, include ceiling paint in your estimate.
The number of gallons that are needed will be 6 gallons.
The number of gallons of paint that will be needed in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet will be:
= (27 × 42) / 200
= 1134 / 200
= 5.67
= 6 gallons.
Learn more about division on:
https://brainly.com/question/19127052
Which value of x makes the following equation true?
5(x - 2) + 74 = -3x
A. 8
B. -7
C. -4
D. -8
Answer:
x=−8
Step-by-step explanation:
(5)(x)+(5)(−2)+74=−3x
5x+64=−3x
8x+64=0
8x=−64
x=−8
Answer:
da answer iz equals to -8
Amanda has a bookcase with 30 books. There are 3 shelves in the bookcase. Each shelf has the same number of books. How many books does each shelf have?
Answer:10 books per shelf
Step-by-step explanation:
30 books
3 shelves
30x3=10
10 books per shelf
35 is what percent of 56?
Answer:
19.6
Step-by-step explanation:
35% of 56
=35/100×56
19.6
hope this helps
pls brainliest!!!!!
Answer:
19.6 is the answer
Step-by-step explanation:
35%of 56
35/100×56
19.6 answer
Does anyone know the answer? Pls help
Answer:
x = 24
Step-by-step explanation:
First, substitute x = -6y into the top equation:
-6y + 3y = 12
-3y = 12
Divide both sides by -3, and you get:
y = -4
Now, you plug in the y value to the second equation:
x = -6(-4)
x =24
Given :
[tex]{ \longrightarrow\qquad \sf x + 3y = 12 \: –––– \sf \: (i)}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf x = - 6y \: –––– \sf \: (ii)}[/tex]
⠀
(i) – (ii) we get :
⠀
[tex]{ \longrightarrow \qquad \sf \: {x + 3y -x = 12 - ( - 6y)}}[/tex]
⠀
[tex]{ \longrightarrow \qquad \sf \: { \cancel{x} + 3y \: \cancel{ - \: x }= 12 + 6y}}[/tex]
⠀
[tex]{ \longrightarrow \qquad \sf \: { 3y - 6y = 12 }}[/tex]
⠀
[tex]{ \longrightarrow \qquad \sf \: { - \: 3y = 12 }}[/tex]
⠀
[tex]{ \longrightarrow \qquad \sf {- \: y = \dfrac{12}{3} }}[/tex]
⠀
[tex]{ \longrightarrow \qquad \bf \: { y = - \: 4 }}[/tex]
⠀
Now, Substituing the value of y in equation (i) :
⠀
[tex] \longrightarrow \qquad \sf{x + 3( - 4)= 12}[/tex]
⠀
[tex] \longrightarrow \qquad \sf{x - 12= 12}[/tex]
⠀
[tex] \longrightarrow \qquad \sf{x = 12 + 12}[/tex]
⠀
[tex]\longrightarrow \qquad \bf{x = 24}[/tex]
⠀
Therefore,
The value of x is 24 .QUICK!!! Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (−3, 5) and a radius of 24. What steps will help show that circle A is similar to circle B? (5 points)
Group of answer choices
A. Translate circle A using the rule (x + 3, y − 1).
B. Rotate circle A 180° about the center.
C. Dilate circle A by a scale factor of 4.
D. Reflect circle A over the line y = x.
Answer:
Dilate circle A by a scale factor of 4. (c)
Step-by-step explanation:
HOPE THIS HELPS!!!
The steps will help show that circle A is similar to circle B is Dilate circle A by a scale factor of 4.
The correct option is (C).
What is Dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Circle A has center of (0, 4) and a radius of 6
circle B has a center of (−3, 5) and a radius of 24.
The radius of circle A is 6 cm and radius of circle B is 24 cm, which 4 times the radius of circle A.
We know, Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
This transformation produces an image that is the same as the original shape.
Thus, Dilate circle A by a scale factor of 4.
Learn more about dilation here:
https://brainly.com/question/13176891
#SPJ2
Pls help me pls I have a test
Answer:
See below.
Step-by-step explanation:
Area (rectangle) = Area (square)
6 x 10 = s²
s² = 60
s = √60
s = 2√15 cm
Perimeter
= 4s
= 4 x 2√15
= 8√15 cm
Ned is looking over his credit scores. his experian score is 690, his equifax score is 691, and his transunion score is 651. what is his mean credit score? (round to the nearest whole point, if applicable.) a. 677 b. 671 c. 665 d. 690
The mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.
What is mean credit score?The mean credit score is the ratio of sum of all the credit score to the number of different credit scores.
Ned is looking over his credit scores. The different score is in his credit score are,
His experian score is 690, His equifax score is 691, His transunion score is 651.The sum of all the score is,
[tex]\sum \rm score=690+691+651\\\sum \rm score=2032[/tex]
There are total 3 scores. Thus the mean credit score is,
[tex]m=\dfrac{2032}{3}\\m\approx677[/tex]
Hence, the mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.
Learn more about the credit score here;
https://brainly.com/question/2609368
Answer:
A. 677
Step-by-step explanation:
That is his mean credit score, i got it right on edge
The perimeter of rectangle of length 600 and breadth 350 is ___________
Answer:
950
Step-by-step explanation:
Not gonna lie I kinda stole yo answer other person deserves all the credit
it takes a work crew 12 days to build 4 houses. How many days does it take to build one house?
Answer:
it takes 3 days for the crew to make one house
What is the midpoint of the line segment graphed below?
Answer:
The midpoint is 7/2 -9/2
Step-by-step explanation:
The formula for finding the midpoint of a line is
This means the formula for the x-coordinate of the midpoint is , and the formula for the y-coordinate of the midpoint is .
First, let's find the x-coordinate of the midpoint:
Add the two x values of the coordinates given, then divide that by two.
Next, let's find the y-coordinate of the midpoint:
Add the two y values of the coordinates given, then divide that by two.
Therefore, the midpoint of the line segment is . Hope this helps!
AB & BC are two sides of a regular octagon. Calculate the size of angle x.
Answer:
x = 45°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 8 ( number of sides of an octagon ) , then
sum = 180° × 6 = 1080°
the interior angles of a regular octagon are congruent , so
∠ ABC = 1080° ÷ 8 = 135°
x and 135° are adjacent angles on a straight line and sum to 180° , then
x = 180° - 135° = 45°
While shopping for clothes, Grace spent $39 less than
3 times what Emily spent. Grace spent $36. Write and
solve an equation to find how much Emily spent. Let x
represent how much Emily spent.
and write an equation to represent the following description and use x as the variable
Answer:
Step-by-step explanation:
$39 plus the amount of money Grace had spent, $36.
39 + 36 = 75.
That gets rid of the "39 less than" part. But in order to find out how much money Emily spent you need to triple 75.
75 x 3 = 225
Therefore, x = 225 or $225 was the amount that Emily spent.
Hope this helps! ^u^
Brainliest please.
Ravi has put his coins into 4 stacks. Each stack has 12 coins. How many coins total are there?
Answer:
48
Step-by-step explanation:
there is 4 stacks of 12 coins
4x12=48
if I want a PlayStation for $300.00 and I get paid $10.50 a week how long would it take me to buy the PlayStation
Answer:
29 weeks or 4 months (not exactly)
Step-by-step explanation:
300/10.5 is 28.57
which 29 weeks, you earn 4 dollars and 50 cents left over
does ratio can be defined as " for every hundred terms " ?
Answer:
A ratio is defined as the comparison of one size of a number to the size of another number. A most convenient number to use when comparing numbers is 100. Ratios in which one number is compared to 100 are called percents. The word percent comes from the Latin word per centum.
Convert to fraction (mixed number): 2.75 = 2 + 0.75
Convert to decimal: 275% = 2.75
Problem: Convert 275% to a decimal and to a simplified fraction
The radius of a circle is 65 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
circumference = 2 x pi x r
r = 65 cm
so C ≈ 2 x 3,14 x 65 ≈ 408,20
Answer: C=408.41 centimeters
Step-by-step explanation:
2 times pi times 65
130 pi
Approximately 408.41
expand o write an equavilent expression -1/4(-8x + 12y).
Answer:
[tex]2x-3y[/tex]
Step-by-step explanation:
Apply the distributive property by multiplying the outside to both terms on the inside:
[tex]-\frac{1}{4}[/tex] of -8x is equal to 2x
[tex]-\frac{1}{4}[/tex] of 12y is equal to 3y.
If 10% of my money is $15, then what is 40% of my money?
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 10&15\\ 40&x \end{array}\implies \cfrac{10}{40}=\cfrac{15}{x}\implies \cfrac{1}{4}=\cfrac{15}{x}\implies x=60[/tex]
Answer:
$21
Step-by-step explanation:
if 10% is $15 then 40%*$15 is $21
PLZ HELP DUE IN 10
A 32-oz jug of orange juice may not contain exactly 32 oz of juice. The possibility of measurement error exists when the jug is filled in the factory. If the maximum measurement error isoz, write an absolute value in equality representing the range of volumes,x, in which the orange juice jug may be filled.
Answer:
If the maximum measurement error is at most 0.08 oz. , write and solve an absolute value inequality for the range of the possible number of ounces, Z, that can be in a jug of orange juice.
Simplify your answer and write it in interval notation.
Step-by-step explanation:
I will only give you that. I am so sorry that my response is this late love. If there was some way to receive your question, I would most definitely help you! I hope you did well on this problem!
=)
Si un polinomio es divido por el termino x-c, entonces el residuo es ¿Esta oración de qué teorema habla?
Grupo de opciones de respuesta
De la División Sintética
Del Factor
Del Residuo
De Pitágoras
cual es????????'
El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.
¿Qué es el teorema del residuo?Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.
Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.
Encuentre más información sobre el teorema matemático aquí:
https://brainly.com/question/343682
How did you get the answer.
find x with reason(s)
Answer:
Well we know this is a parallelogram
-A theorem states that if both opposite side of a quadrilateral (4 sided shape) are congruent then it’s a parrlelogram.
-We also know this is a rhombus becuase all sides are congruent and has no right angle present. A theorem to support this is, If two consecutive sides of a parallelogram are congruent, then the parallelogram is a a rhombus.
So we’re trying to find x.
A theorem states that “The diagonals of a rhombus bisects two angles of the rhombus.”
Bisect means cut in a way that both angles are equal.
That means the two angles given have to be equal to each other.
We can make an equation.
110-x = x
Now solve
2x= 110
X= 55
X would equal 55
x=55
In ΔABC, m∠A = 112°, b = 8, and c = 14. Identify a rounded to the nearest tenth.
1. 13.3
2. 12.6
3. 19.0
4. 18.5
The triangle above can be solved using cosine rule, the value of a using cosine rule is approximately 18.5
The side can be found using cosine formula for triangles.
Cosine formulaa² = b² + c² - 2bc cos A
where
a = ?
b = 8 units
c = 14 units
Therefore,
a² = 64 + 196 - 2 × 8 × 14 cos 112
a² = 260 - 224 cos 112
a² = 260 + 83.9118769252
a = √343.9118769
a = 18.5448611993
a = 18.5
Therefore, the value of a is approximately 18.5
learn more on triangle here: https://brainly.com/question/7140765