Answer:
your answer would be 50.
Step-by-step explanation:
Answer: 3.5
Step-by-step explanation: 0.7 rounds to 10, and 35 divided by 10 is 3.5
PLSSS HELP! THIS IS EXTREMELY URGENT!!!!!!!
Sean and Emily love making origami. Sean can make a paper crane in 6 minutes, and Emily can make a paper crane in 8 minutes. One day, they decided to make some paper cranes together. They started making cranes at the same time, and after a while, they have 112 total paper cranes. How many of those paper cranes did Sean make?
====================================================
Explanation:
Sean can make 1 paper crane in 6 minutes. His unit rate is 1/6 of a paper crane per minute.
Emily's unit rate is 1/8 of a paper crane per minute.
Their combined unit rate is 1/6 + 1/8 = 4/24 + 3/24 = 7/24 of a paper crane per minute.
Each minute, they can make 7/24 of a paper crane. Put another way, every 24 minutes, they can make 24*(7/24) = 7 cranes.
Let x be the number of minutes needed to make 112 paper cranes.
Multiply the combined unit rate with x and set it equal to 112
(combined unit rate)*(amount of time) = amount made
(7/24)x = 112
x = 112*(24/7)
x = 384
They need 384 minutes if they work together to make 112 paper cranes.
Sean can make 384/6 = 64 paper cranes while Emily can make 384/8 = 48 paper cranes. As a check, 64+48 = 112 to help confirm the answer.
which list shows the numbers |-0.12|, \frac{1}{8}, \frac{1}{9},∣−0.12∣, 8 1 , 9 1 , and \sqrt{\frac{1}{82}} 82 1 in order from smallest to largest?
The list that shows the numbers |-0.12|, 1/8, 1/9 in order from smallest to largest is:
1/9, |-0.12|, 1/8.
What is the absolute value of a number?
The absolute value of a number is the distance of the number to the origin, hence it is represented by the number without the signal.
In the context of this problem, the absolute value of -0.12 is:
|-0.12| = 0.12.
How to convert a fraction to decimal?To convert a fraction to decimal, we divide the top term of the fraction, called numerator, by the bottom term of the fraction, called the denominator.
Hence, in the context of this problem, the decimal representation of the fractions is given as follows:
1/8 = 0.125.1/9 = 0.1111.To order the three numbers, both have integer part 0, hence we look at which one has the greater decimal part, hence they are ordered as 1/9, |-0.12|, 1/8, from least to greatest.
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The stock price for JSR was $52.33 in October. In November the stock had increased by 9%, but in December the price fell by 9%. What was the price of JSR stock in December? Round your answer to the nearest cent, if necessary.
Despite that JSR stock price was $52.33 in October, when the stock increase and decrease are accounted for, then, the price of the stock in December equals to $51.91.
What is a stock price?Also known as share price, it refers to the price of a single share of a number of sale-able equity shares of a company.
Given data
Stock price for JSR was $52.33 in October.
November, the stock had increased by 9%
December, the price fell by 9%.
In November, the firm's stock price will be:
= Stock price in October * (1 + 0.09)
= $52.33 * (1.09)
= $57.0397
In December, the firm's stock price will be:
= $57.0397 * (1 - 0.09)
= $57.0397 * 0.91
= $51.906
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11. Select all the angles for which HA and HE
are the sides.
The angles with sides HA and HE are ∠AHE and ∠EHA.
There are some angles given from which we need to find those with sides HE and HA.
The angles given are :
A. ∠AHE B. ∠AGE C. ∠EHA D. ∠EGA E. ∠AHB
For this first we need to understand the naming of angles.
An angle is either named by a single alphabet, mostly when the angle is not divided, or it is named using three letters from which we can clearly understand the sides of the angles.
For example, ∠XYZ has sides XY and YZ with the angle at the point Y.
So we will try to find the sides of each angles given in options.
A. ∠AHE has sides HA and HE with angle at the point H.
B. ∠AGE has sides AG and GE with angle at the point G.
C. ∠EHA has sides HE and HA with angle at the point H.
D. ∠EGA has sides EG and GA with angle at the point G.
E. ∠AHB has sides HA and HB with angle at the point H.
Hence the angles for which HA and HE are sides are ∠AHE and ∠EHA.
The question is incomplete. Find the complete question below:
Select all the angles for which HA and HE are the sides.
A. ∠AHE B. ∠AGE C. ∠EHA D. ∠EGA E. ∠AHB
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How many square metres of sheet metal are needed to make this grain storage silo? (The floor is not included)
Answer: We will be needing 78.54 square meters of sheet metal to make the grain storage silo shown.
Step-by-step explanation: to calculate he total square meters of sheet metal needed to make this grain storage silo we need to calculate the total surface area of the entire structure
for the given structure,
Total surface area = Curved surface area of the cone + curved surface area of the cylinder
curved surface area of cone = [tex]\pi rl[/tex] where r= radius of the base of cone
Given, [tex]2r= 4m[/tex]
⇒[tex]r = \frac{4}{2}=2 metres[/tex]
slant height of cone [tex]l=\sqrt{(r^{2}+h^{2} ) }[/tex] where h=1.5 m is the vertical height of the cone
∴ [tex]l = \sqrt{(2^{2}+1.5^{2} ) }=\frac{5}{2}=2.5 m[/tex]
∴curved surface area of cone [tex]= \pi rl= \pi *2*2.5=5\pi =15.71m^{2}[/tex] (1)
curved surface area of cylinder(without the floor) =[tex]2\pi rh[/tex]
where r= radius of cylinder and h= height of the cylinder
Given r= 2 m and h=5 m
∴curved surface area of cone =[tex]2\pi rh[/tex]=[tex]2*\pi *2*5=20\pi =62.83m^{2}[/tex] (2)
From results (1) and (2)
the total surface area of silo = (15.71 + 62.83)[tex]m^{2}[/tex] = 78.54[tex]m^{2}[/tex]
Thus we need 78.54 [tex]m^{2}[/tex] of sheet metal to make the grain storage silo
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Question in a nutshell
Woman goes into store every 8 days
Dude goes into store every 10 days
How many days will until they shop at the same time
The day that they will shop at same time based on the information is in 40 days.
How to illustrate the information?It should be noted that from the information given, Mrs Jannah goes to the store every 8 days and Mrs Byrne goes to the store every 10 days.
It should be noted that if they both went to shopping today, the date that they will shop at same time will be the least common multiple of 8 and 10. This will be:
Multiple of 8 = 8, 16, 24, 32, 40
Multiple of 10 = 10, 20, 30, 40
Therefore, the days is 40 days.
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please help asap! i dont know what do to here
Answer:
y = - x - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x ← is in slope- intercept form
with slope m = - 1
• Parallel lines have equal slopes , then
y = - x + c ← is the partial equation of the parallel line
to find c substitute (- 8, 2 ) into the partial equation
2 = 8 + c ⇒ c = 2 - 8 = - 6
y = - x - 6 ← equation of parallel line
The value of y varies directly with x. When y = 35 x=1/4 What is the value of y when x is 2 1/2
The value of y when x is 2 1/2 is 350
What is direct variation?Direct variation can be defined as mathematical or arithmetic relationship having two variables that can be expressed with an equation with one variable equivalent to the a specific constant times the size of the other variable.
From the information, we have that;
y varies directly with x.
This can be expressed as;
y α x
Add a constant;
k = y/x
Now, let's determine the constant of their variation, k' by substituting the values, we have;
k = 35/1/4
Take the inverse of the divisor and multiply
k = 35(4)/1
k = 140
To determine the value of 'y' for x = 21/2 = 5/2. we have
k = y/x
140 = y ÷ 5/2
cross multiply
y = 140 × 5/2
cross multiply
y = 350
Hence, the value is 350
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5a3 x 2b2 x 4a2b5/ 3a2 x 5b3
5a^3 x 2b^2 x 4a^2 x b^5 / 3a^2 x 5b^3 (rewrite)
= 20a^5 x 2b^7 / 3a^2 x 5b^3
= 40a^5 x b^7 / 15a^2 x b^3
= (8/3) x a^3 x b^5
Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.
The difference between eight times a number and nine more than seven times the number.
What is the algebraic expression?
(Do not simplify.)
Answer:
8x - (7x + 9)Step-by-step explanation:
Let x represent the number.
The expression is built in two parts as:
The difference between eight times a number (8x) and nine more than seven times the number (7x + 9).Subtract the second part from the first part:
8x - (7x + 9)Dan is gathering signatures on a petition to save the whales. If he gets 5 times the number of signatures that he has right now, he will have at least enough to get a special mention on the save the whales website, an amazing 10,000 signatures. how many signatures has Dan collected so far? let n be home he need number of signatures he has now.
Using the mathematical operation of division, Dan has so far collected 2,000 signatures.
What is the division operation?The division operation is one of the basic mathematical operations for deriving numerical results.
The division operation involves sharing the dividend by the divisor to obtain the result of the mathematical operation known as the quotient.
The total number of signatures needed for the petition = 10,000
The number of times that n needs to be to reach 10,000 = 5x
The number of signatures gathered so far, n, = 2,000 (10,000/5).
Thus, based on division operation, the number of signatures that Dan has collected is 2,000.
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Using the mathematical operation of division, It is found that Dan has collected 2000 signatures.
What is the division?The division is defined as one of the basic mathematical operations for deriving numerical results; Which involves sharing the dividend by the divisor to obtain the result of the mathematical operation known as the quotient.
The total number of signatures, needed for the petition is; 10,000
The number of times, that n needs to be to reach 10,000 would be;
5x
The number of signatures gathered so far, n, will be;
2,000 (10,000/5).
Hence, based on division operation, the signatures that Dan has collected is; 2,000.
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An eleven-foot long board must be cut into three pieces so that one piece is 1-foot shorter than half
the length of the longest piece and the other piece is 3 feet shorter than the longest piece. How
long is the shortest piece?
Answer:
2'
Step-by-step explanation:
An eleven-foot long board must be cut into three pieces so that one piece is 1-foot shorter than half the length of the longest piece and the other piece is 3 feet shorter than the longest piece. How long is the shortest piece?
board 1 = 0.5L - 1
board 2 = L - 3
board 3 = L
so:
(0.5L - 1) + (L - 3) + L = 11'
0.5L - 1 + L - 3 + L = 11'
combine L on left side:
2.5L - 4 = 11
add4 from both sides:
2.5L - 4 + 4 = 11 + 4
2.5L = 15
divide both sides by 2.5:
2.5L/2.5 = 15/2.5
L = 6
Formula for boards are, substitute in L = 6:
board 1 = 0.5L - 1
= 0.5(6) - 1
= 3 - 1
= 2'
board 2 = L - 3
= 6 - 3
3'
board 3 = L
= 6
shortest board is board 1 at 2'
(5,-4); y = 1/5 x - 4
y = 1/5x - 5 is the equation of slope-intercept form .
What is slope-intercept form explain?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. This form is frequently known as the y = mx + b form.equation y = 1/5 x - 4
compare y = mx + c , m = 1/5
put points (5,-4) in equation
y = mx + c
- 4 = 1/5 * 5 + c
- 4 = 1 + c
c = -5
put value of c in equation
y = 1/5x - 5
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Which represents the inverse of the function f(x) = 4x?
The inverse function of f(x) = 4x is:
f⁻¹(x) = (1/4)*x
So the correct option is the fourth one.
How to get the inverse of the given function?
For any function f(x) we define the inverse f⁻¹(x) such that:
f(f⁻¹(x)) =x
f⁻¹(f(x)) = x
In this case we have f(x) = 4*x
Then the inverse is also a linear function:
f⁻¹(x) = a*x + b
Using the rules for inverses we get:
f⁻¹(f(x)) = a*f(x) + b = a*(4x) + b = x
a*(4x) + b = x
Then we have b = 0
a*4x = x
a*4 = x/x
a*4 = 1
a = 1/4
The inverse is:
f⁻¹(x) = (1/4)*x
The correct option is the last one.
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3:d:27:45 proportion
The value of 'd' in the proportion 3:d:27:45 is 5
What is proportion?A proportion can simply be defined as a mathematical comparison of two different numbers.
The numbers mostly describes a comparison between people, elements, quantities, or things.
It is also seen as an equation having two ratios which are proportionally set equal to each other.
The mathematical operations involved in proportion includes;
AdditionDivisionBracketMultiplicationSubtractionGiven the expression:
3:d:27:45
This is represented as;
3 = d
27 = 45
To determine the value of 'd', we have;
cross multiply
27d = 135
Make 'd' the subject of formula by dividing both sides by 27
d = 135/27
d = 5
Hence, the value is 5
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The complete question:
3:d:27:45 . Find the value of d in the proportion
Find the value of the expression: -4.65 + 8.3 - (-2.35)
Answer:the answer is 6
Step-by-step explanation:
Dorothy is 7 years older than her brother William. If the product of their ages is 78, how old is Dorothy?
HURRY WILL MARK BRAINLIEST
What is the distance between the points(−5, −9) and (−5, 13)?
Responses
4 units
11 units
16 units
22 units
What is the value of x?
Enter your answer in the box.
x = ___
(EXPLAIN IF POSSIBLE SO I CAN LEARN)
3 triangles form stairs. Each triangle has a side length of 11 inches and hypotenuse of 13 inches.
The length of each stair is 11 inches. What is the rise, r, for each stair? Round to the nearest inch.
2 inches
7 inches
17 inches
24 inches
Answer:
7inches
Step-by-step explanation:
using Pythagoras a²+b²=c²
so it's rearranged to c²-b²=a² or c²-a²=b²
first we get 13²-11²
next we do 169-121
this makes 48
square root 48 is 6.90 inches
this rounds up to 7 Inches
your answer would be : 7 inches
Armaan’s age is 8, more than 4 times the age of Raj. If Armaan is 24 years old. How old is Raj?
The age of Raj is 4 years.
How to find age of Raj?Amaan's age is 8, more than 4 times the age of Raj.
Amaan is 24 years old.
The age of Raj can be found as follows;
Therefore, the situations will form an algebraic equation.
let
the age of Raj = x
The age of Amaan is 8 more than 4 times the age of Raj.
Hence, the age of Amaan can be represented as follows:
Amaan age = 8 + 4x
Hence,
24 = 8 + 4x
subtract 8 from both sides of the equation
24 - 8 = 8 - 8 + 4x
16 = 4x
divide both side by 4
x = 16 / 4
x = 4
Therefore,
age of Raj = 4 years
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Which equation is represented by the graph?
y = −x2 + 4x + 1
y = 2x2 + 4x + 1
y = x2 + 4x + 1
y = −x2 + 1
The equation that is represented by the graph is
y = x2 + 4x + 1
This is further explained below.
What is a Graph?Generally, The collection of ordered pairings where f(x)=y exists constitutes the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the typical situation when x and f(x) are real integers.
In conclusion, Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (-2,-3)
Focus:[tex]\left(-2,-\frac{11}{4}\right)[/tex]
Axis of Symmetry: x=-2
Directrix: [tex]y=-\frac{13}{4}[/tex]
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An interior designer is planning a room but needs to first figure out the dimensions. The length of the room is 17 inches on the architect’s plan. What is the actual length of the room in feet if the scale of the plan is 1.25 inches to 3 feet?
If the length of the room is 17 inches one the architect's plan, the actual length of the room in feet if the scale of the plan is 1.25 inches to 3 feet is
40.8 feet
The length of the room on the architect's plan = 17 inches
The scale of the plan = 1.25 inches to 3 feet
That means
The length on the plan/ The actual length = 1.25 inches / 3 feet
Substitute the value of the length on the plan in the equation
17 / The actual length = 1.25/3
The actual length of the room = 17/0.42
= 40.8 feet
Hence, if the length of the room is 17 inches one the architect's plan, the actual length of the room in feet if the scale of the plan is 1.25 inches to 3 feet is 40.8 feet
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Select all of the digital construction tools that do the same job as a pencil alone (without straightedge or compass).
-Circle with center through point
-Line
-Polygon
-Point of intersection
-Point plotted on an object
The correct answers are point of intersection and point plotted on an object.
Help me with this problem will mark brainelist answer needs to be in scientific notation!
Answer:2.04x10 to the 4th
Step-by-step explanation:
multiply 20.4 x 1000
Then write the answer like this: 20,400
now make a decimal under ten countaining all #s that arent 0: 2.04
count the decimal places between the end of the 2 and the last 0 in the number 20,400
There are 4 places so thats 10 the power of 4
Now just put it all together
(4√2)² work out the value
Answer:
32
Step-by-step explanation:
(4[tex]\sqrt{2}[/tex] )²
= 4[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{2}[/tex]
= 4 × 4 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]
= 16 × 2
= 32
please help me.
There is the screenshot down below.
Answer:
file has been attached
Step-by-step explanation:
Answer:
x = 42°
Step-by-step explanation:
straight line angles:m∠AOB = 180° {AB is a straight line}
m∠AOE + m∠EOF + m∠FOB = ∠AOB
x + 2x + 34 + 20 = 180°
Combine like terms,
3x + 54 = 180
subtract 54 from both sides,
3x = 180 - 54
3x = 126
Divide both sides by 3
x = 126 ÷ 3
x = 42°
35. 1 and 2 are vertical angles. If m/1 =
(5x + 12) and m/2 = (6x - 11)°, find m21.
We can conclude that Angle ∠2 is 127°.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini.So, in order to solve for x, you must first write an expression using the following measurements from both ∠1 and ∠2.
∠1 = 5x + 12∠2 = 6x - 11Then, 5x + 12 = 6x - 11
Now, solve for x as follows:
5x + 12 = 6x - 115x + 12 - 6x = 6x - 6x - 11-x + 12 = -11-x + 12 - 12 = -11 - 12-x = -23-x/-1 = -23/-1x = 23We know that x = 23.
∠2 = 6x - 11Solve for ∠2 as follows:
6x - 116(23) - 11138 - 11127°Therefore, angle ∠2 is 127°.
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Find the value of x that will make A parallel to B
6 8 and 10
!! how to solve for the x
6) to solve for x just simplify both equations and set it to 180; they are co-interior angles which is why they both add to 180.
12x-29 + 4x + 1
16x -28 = 180
16x = 208;
x = 13
8) 4x - 18 = 90;
4x = 108
x = 27
How many integers lie between root 60 and root 145?
The most appropriate choice for square root will be given by-
Number of integers lying between [tex]\sqrt{60}[/tex] and [tex]\sqrt{145}[/tex] = 5
What is square root of a number?
If the number is raised to the power of [tex]\frac{1}{2}[/tex], then the result obtained is called square root of the number.
[tex]\sqrt{60} = 7.75\\\sqrt{145} = 12.04\\[/tex]
Integers lying between 7.75 and 12.04 = 8, 9, 10, 11, 12
Number of integers lying between 7.75 and 12.04 = 5
Number of integers lying between [tex]\sqrt{60}[/tex] and [tex]\sqrt{145}[/tex] = 5
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