Answers
Answer:
See below ~
Step-by-step explanation:
First 3 blanks
[tex]\frac{6}{8}+\frac{4}{8}+\frac{5}{8}[/tex]Final blank
[tex]1\frac{5}{8}[/tex]Related Questions
The length of the shadow of an office building is 35 feet. At the same time of the day, Donovan Mitchell, who is 6.1 feet tall, has a shadow of 5 feet. What is the height of the office building?
Answers
Answer:
175
Step-by-step explanation:
35 times 5 is 175
Hope This Helped
Need help on this question
Answers
Factor by grouping: (3x+7)(x-4)
A map use the scale 3/4 of an inch to represent 3 miles .if the actual distance between two cities is25 miles ,then what is the length on the map
Answers
3/4 inch
3 miles
to find:the length of the map
solution:Based on the given conditions, write:
x= 34/ 4 · 25/ 3
Write as a single fraction:
x= 3 × 25/ 4/ 3
Divide a fraction by multiplying its reciprocal:
x= 3 x 25/ 4 × 1/ 3
Write as a single fraction:
x= 3 x 25/ 4 × 3
Reduce fraction to the lowest term by canceling 25 the greatest common factor:
x= 25/4
therefore,the length of the map is 25/ 4.
find the slope of the line passing through the points (4,-6) and (3, -9)
btw the answer will be a fraction
Answers
Answer:
3/1 is the slope.
Step-by-step explanation:
Slope formula: y2 - y1/x2 - 1
Plugging in the given values, we get:
-9 - (-6)/3-4
-3/-1
Two negatives cancel each other out, so:
3/1 is the slope.
Is 6/12 equivalent to 1/2?
Answers
Answer:
yes because 1/2= .5
and 6/12= .5 so they are equivalent
yes
Calculations ↓In order to determine whether or not 6/12 is equivalent to 1/2, we need to reduce the first fraction.
Reduce by dividing the top & bottom by 6 ↓
[tex]^6/_{12}=^1/_2[/tex]
Yes, 6/12 is indeed equivalent to 1/2.hope helpful ~
{7x0.1]+[2x100]+[3x1000]+[4 x 1]+[5x0.01] as a decimal
Please Answer
Answers
Answer:
Step-by-step explanation:
7*.01= .7
2*100=200
3*1000=3000
4*1=4
5*.01=.05
.7+200+3000+4+.05=3204.75
A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0. a. 000, 001, 010, 011, 100, 101, 110, 111; the probability is startfraction 7 over 8 endfraction. b. 001, 011, 101, 111; the probability is startfraction 2 over 8 endfraction. c. 000, 010, 011, 101, 111; the probability is startfraction 2 over 8 endfraction = one-fourth. d. 000, 001, 010, 011, 100, 101, 110, 111; the probability is startfraction 3 over 8 endfraction.
Answers
The probability that a sequence will contain exactly one 0 is 3/8.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1,
We should consider sequences of three digits, where each digit is either 0 or 1. A sequence has three places .
where each place has two possibilities, i.e., 0 or 1, so, for the multiplication rule
we know that the sample space will have (2)(2)(2) = 8 sample points.
Specifically, the sample space is
S = {111, 110, 101, 011, 100, 010, 001, 000},
There are three sequences with exactly one 0.
Therefore the probability that a sequence will contain exactly one 0 is 3/8.
To know more about probability follow
https://brainly.com/question/24756209
10. A sphere has a volume of 7,234.56 units?. Using 3.14
for pi, find the radius of the sphere. Record your answer
on the grid.
Answers
The radius of the sphere has a volume of 7,234.56 units^3 is 1728 units.
We have the sphere has a volume of 7,234.56units^3
V=7,234.56units^3
What is the formula for the volume of a sphere?
[tex]V=(4/3)(pi)(r^3)[/tex]
Where r is the radius.
Solving this for r^3, we get
[tex]r^3=\frac{V}{(4/3)(pi)}[/tex]
[tex]r^3=\frac{V}{(4/3)(3.14)}[/tex]
[tex]r^3=\frac{7,234.56}{4.19}[/tex]
[tex]r=1728[/tex]
Therefore we get the radius of the sphere is r = 1728 units
To learn more about the sphere visit:
https://brainly.com/question/10171109
Make sure you tell me what goes in each of the 2 blanks.
Answers
Answer:
Future amount = 48(1 + 0.316074)^12
0.31607412Step-by-step explanation:
You want the exponential equation that can be used to find the number of bacteria in a colony after 12 days if it starts with 48 bacteria and triples in 4 days.
Exponential functionThe exponential function can be written in the form ...
future amount = a·b^(t/p)
where 'a' is the initial amount, 'b' is the growth factor in period p.
The problem statement tells you the initial amount is 48, and the factor by which the amount grows is a factor of 3 in 4 days. This lets you write the function as ...
future amount = 48·3^(t/4) . . . . . where t is in days.
RearrangementThis equation can be rearranged so the only exponent is t:
future amount = 48·(3^(1/4))^t = 48·1.316074^t
future amount = 48·(1 +0.316074)^t
Then the amount in 12 days is ...
future amount = 48·(1 +0.316074)^12
The numbers that go in the boxes are 0.316074 and 12.
__
Additional comment
Working from our original equation, we would compute the number after 12 days to be ...
future value = 48·(3)^(12/4)
Putting the growth factor in "1 +" form, this could be ...
future value = 48·(1 +2)^3
and your box numbers would be 2 and 3. We doubt your answer checker will accept this version of the equation.
Either way, the number of bacteria after 12 days is 1296.
If you use 3^(1/4) -1 as the growth rate in the first box, you need to report it to at least 5 significant digits in order for the future value to come out right. We have shown the value with 6 significant figures.
<95141404393>
Help, please!!!
Simplify. (4/9)^2=
Answers
Answer:
Exact form: [tex]\frac{16}{81}[/tex]
Decimal form: 0.1975308
A salesperson sells $2100 in merchandise and earns a commission of $273, What is the commission rate?
Answers
if we take 2100 to be the 100%, what is 273 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13[/tex]
Use the Distributive Property to solve: 4(x + 2) = 32
Answers
Answer:
The value of x = 6
Step-by-step explanation:
=> 4(x + 2) = 32
=> 4x + 8 = 32
=> 4x = 32 - 8
=> 4x = 24
=> x = 24/4
=> x = 6
When distributing, 4x2=8. Subtract 8 from 32, and you get 24. 24 divided by 4 is 6.
Write an equation in
slope-intercept form given two
points.
(2,21) and (4,42)
Answers
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{21})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{42}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{42}-\stackrel{y1}{21}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{21}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{21}=\stackrel{m}{\cfrac{21}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-21=\cfrac{21}{2}x-21\implies y=\cfrac{21}{2}x[/tex]
The area of a square in square feet is represented by z² + 8z + 16.
Find an expression for a side length of
the square.
Find the perimeter of the square when z=12.
Answers
Answer:
Side length: z + 4
Perimeter: 64
Step-by-step explanation:
Hello!
Since the area of a square is the square of the sde length,
using the special binomial product formula: (a+b)² = a² + 2ab + b²:
z² + 8z + 16(z + 4)²The side length of the square is (z+4)².
The perimeter is 4(z + 4), where z is 12:
4(12 + 4)4(16)64The side length is z + 4, the perimeter is 64
In two or more complete sentences, explain how to solve the cube root equation, 3_/x+1 -2 = 0.
Answers
Answer:
You do the thing, then the other thing than BAM! An answer!
Step-by-step explanation:
POINTS
A box is shaped like an octagonal prism. Here is what the base of the prism looks like. I already got question one solved, but question two is If the volume of the box is 123in cubed, what is the height of the box?
Answers
Answer:
287(inches)³
!! PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST !!
Base Area = (20 + 21)in^2 = 41in^2
x = height
(41 x)in^3 = 123in^3
x = (123 : 41)in
x = 3in
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answers
Answer:
I just did for your previous posting.
can you help me pls by the way i am in 5th grade
Answers
Answer:
Step-by-step explanation:
The three longest insects are 1 3/4 in, 1 3/4 in, and 1 1/2 in. Add those together and you get 5 inches
Solve the system of equations - 2x - 2y = -24 and - 3.x – 2y = -33 by
combining the equations.
=-24)
F
| 22 -24
3x – 2y =-33)
-2 -2 =-24
-3x – 2y = -33
02 +0y=
Answers
Answer:
x = 9, y = 3
Step-by-step explanation:
-2x-2y=-24 (EQ 1)
-3x-2y=-33 (EQ 2)
Combining terms we means we either add or subtract the equations in order to eliminate a x or y terms. Simply choose a equation and change it to it's opposite (ex. -3 becomes 3.)
Let's try swapping EQ 1
2x + 2y = 24
(Simply add similar variables and numbers like you would a addition problem.)
-3x-2y=-33
-x = -9
x = 9
Now plug that into one of your equations to get y.
-2(9) -2y = -24
-18 -2y = -24
(Add 18 to both sides.)
-2y = -6
y = 3
Instructions: Find the measure of the angle.
Answers
Answer:
Step-by-step explanation:
Remark
The figure inside the circle is a quadralateral. The 4 angles touch the circumference of the circle. The figure is further defined as a cyclic quadrilateral.
One of the properties of such a figure, is that the opposite angles are supplementary. That is they add to 180.
Equation and solution
? + 100 = 180 Subtract 100 from both sides
? + 100 - 100 = 180 - 100
? = 80 degrees
Answer
? = 80
The volume of a sphere is 4,500π cubic yards. What is the radius of the sphere?
Answers
Answer:
15Step-by-step explanation:
In the question it is given that the volume of a sphere is 4,500π cubic yards. And we have to find the radius.
We know that,
4/3πr³ = Volume of a sphereNow, Substituting the values in the fomulae :
⇒ 4/3πr³ = 4500π
Cancelling π from both sides :
⇒ 4/3r³ = 4500
⇒ 4r³ = 4500 × 3
⇒ 4r³ = 13500
⇒ r³ = 13500/4
⇒ r³ = 3375
Taking cube root on both sides we get :
⇒ r = 15
Therefore,
The radius of the sphere is 15 yardsAnswer:
15 yardsStep-by-step explanation:
In this question we have provided volume of sphere that is 4500π cubic yards . And we are asked to find the radius of the sphere .
We know that ,
[tex] \qquad \: \frak{Volume_{(Sphere)} = \dfrac{4}{3}\pi r {}^{3} } \quad \bigstar[/tex]
Where ,
r refers to radius of circleSolution : -
As in the question it is given that volume of sphere is 4500π . So equation it with volume formula :
[tex] \dashrightarrow \: \qquad \: \dfrac{4}{3} \pi r {}^{3} = 4500\pi[/tex]
Step 1 : Cancelling π as they are present on both sides :
[tex]\dashrightarrow \: \qquad \: \dfrac{4}{3} \cancel{\pi }r {}^{3} = 4500 \cancel{\pi}[/tex]
We get ,
[tex]\dashrightarrow \: \qquad \: \dfrac{4}{3} r {}^{3} = 4500[/tex]
Step 2 : Multiplying with 3/4 on both sides :
[tex]\dashrightarrow \: \qquad \: \dfrac{ \cancel{4}}{ \cancel{ 3}} r {}^{ 3} \times \dfrac{ \cancel{3}}{ \cancel{4}} = \cancel{ 4500} \times \dfrac{3}{ \cancel{4} }[/tex]
On further calculations, We get :
[tex]\dashrightarrow \: \qquad \: r {}^{3} = 1125 \times 3[/tex]
[tex]\dashrightarrow \: \qquad \:r {}^{3} = 3375[/tex]
Step 3 : Applying cube root on both sides :
[tex]\dashrightarrow \: \qquad \: \sqrt[3]{r {}^{3} } = \sqrt[3]{3375} [/tex]
We get :
[tex]\dashrightarrow \: \qquad \: \purple{\underline{\boxed{\frak{r = 15 \: yards}}}}[/tex]
Therefore , radius of sphere is 15 yards .#Keep LearningFind the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)
Answers
Answer:
(x + 4)^2 + (y - 1)^2 = 61.
Step-by-step explanation:
We need to find the square of the radius and the coordinates of the center.
Center = (-10 + 2)/2 , (-4 + 6)/2
= (-4, 1).
Length of the diameter
= √((-10-2)^2 + (-4-6)^2)
= √(144 + 100)
=√244
So the radius = √244/2
and r^2 = 244/4 = 61,
So the equation of this circle is:
(x - (-4)^2 + (y - 1)^2 = 61
(x + 4)^2 + (y - 1)^2 = 61.
(x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given coordinates of the diameter of circle are (-10,-4) and (2,6)
Diameter=√(x₂-x₁)²+(y₂-y₁)²
x₂=2,x₁=-10, y₁=-4, y₂=6
Diameter=√(2-(-10))²+(6-(-4))²
=√(12)²+(10)²
=√144+100
=√244
We know that Radius=Diameter/2
R=√244/2
Squaring both sides
R²=244/4
R²=61
So the equation of this circle is:
(x - (-4)² + (y - 1)² = 61
(x + 4)²+ (y - 1)² = 61.
Hence (x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
To learn more on Circles click:
https://brainly.com/question/11833983
Show all your working out.
Simplify (2m^4)^3
Answers
The expression (2m^4)^3is an algebraic expression, and the simplified value is 8m^12
How to simplify the algebraic expression?The expression is given as:
(2m^4)^3
Expand the bracket
(2m^4)^3 = 2^3 * m^(4 * 3)
Evaluate the exponents
(2m^4)^3 = 8 * m^12
Evaluate the product
(2m^4)^3 = 8m^12
Hence, the simplified value is 8m^12
Read more about simplified expressions at:
https://brainly.com/question/723406
A number cube is rolled 300 times. Predict how many times a number greater than 3 would be rolled.
Answers
Explanation:
From a set of whole numbers from 1 to 32, what is the probability of randomly choosing a number either divisible by 5 or divisible by 3
Answers
The probability of randomly choosing a number either divisible by 5 or divisible by 3 is 1/2.
What is the probability?
Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Numbers between 1 - 32 that are divisible by 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30Total number = 10 Numbers between 1 - 32 that are divisible by 5 = 5, 10, 15, 20, 25, 30Total number = 6Probability of randomly choosing a number either divisible by 5 or divisible by 3 = (numbers divisible by 3 / total number) + (numbers divisible by 5 / total number)
10/32 + 6/32 = 16/32= 1/2
To learn more about probability, please check: brainly.com/question/13234031
#SPJ1
Answer:
7/16
Step-by-step explanation:
I need help asp pleaseee!!!
Answers
Answer:
Option B, [tex]396\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom
[tex]A = l * w[/tex]
[tex]A = 12\ units * 8\ units[/tex]
[tex]A = 96\ units^2[/tex]
Step 2: Determine the area of the back
[tex]A = l * w[/tex]
[tex]A = 9\ units * 8\ units[/tex]
[tex]A = 72\ units^2[/tex]
Step 3: Determine the hypotenuse
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
[tex]12^2 + 9^2 = c^2\\[/tex]
[tex]144 + 81 = c^2[/tex]
[tex]225 = c^2[/tex]
[tex]\sqrt{225} = \sqrt{c^2}[/tex]
[tex]15 = c[/tex]
Step 4: Determine the area of the top
[tex]A = l * w[/tex]
[tex]A = 15\ units * 8\ units[/tex]
[tex]A = 120\ units^2[/tex]
Step 5: Determine the area of the triangles
[tex]A = \frac{h\ *\ b}{2}[/tex]
[tex]A = \frac{9\ units\ *\ 12\ units}{2}[/tex]
[tex]A = \frac{108\ units^2}{2}[/tex]
[tex]A = 54\ units^2[/tex]
Step 6: Determine the surface area
[tex]96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)[/tex]
[tex]396\ units^2[/tex]
Answer: Option B, [tex]396\ units^2[/tex]
rewrite 20(1/5u-3/4) without parentheses
Answers
Answer:
4u-15 is your answer
Step-by-step explanation:
20(1/5u-3/4)
20/5u-60/4
4u-15
Lets solve:
⇒20(1/5u-3/4)
Divide by 20 on each side
⇒20/5u-60/4
Solve the problems
---------------------------------------
⇒4u-15
Final answer: 4u-15
hope this helps :)
What is the volume of a cylinder with a base of 24 meters and a height of 6 meters
Answers
Answer:
Volume = 2714.34
Step-by-step explanation:
This is answer because the formula to finding cylinder volume is: [tex]\pi[/tex][tex]r^{2}[/tex]h
Radius = [tex]\frac{Diameter or Base}{2}[/tex]
Radius = 12
12 squared = 144
144*6 = 864
864[tex]\pi[/tex] = 2714.34 (rounded)
The area of a rectangle is 44 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
Answers
Answer:
about 11.7 units
Step-by-step explanation:
[tex]11w = 44[/tex]
[tex]w = 4[/tex]
[tex] \sqrt{ {11}^{2} + {4}^{2} } = \sqrt{121 + 16} = \sqrt{137} = 11.705[/tex]
You are buying bags of flour and bags of sugar for a bakery. You must buy three times as many bags of sugar as there is bags of flour. Also, you are on a budget of $720. Of flour costs $6 per bag and sugar costs $4 per bag, how many bags of flour and how many bags of sugar can you buy
Answers
The number of bags of flour would be 40.
And, the number of bags of sugar would be 120.
Given that,
You must buy three times as many bags of sugar as there are bags of flour.
And, you are on a budget of $720. Flour costs $6 per bag and sugar costs $4 per bag.
Let us assume that,
The number of bags of flour = x
And, the number of bags of sugar = y
Hence, we get;
y = 3x .. (i)
And, 6x + 4y = 720 .. (ii)
Substitute x = 3y in (ii);
6x + 4 (3x) = 720
6x + 12x = 720
18x = 720
x = 720/18
x = 40
From (i);
y = 3 × 40
y = 120
Thus, The number of bags of flour = 40
And, the number of bags of sugar = 120
To learn more about the equation visit:
brainly.com/question/28871326
#SPJ4