Answer: 2
Step-by-step explanation:
Given: Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
Now, the greatest number of identical packages that Shaquira can make= GCD of 86 and 42
Prime factorization of 86 and 42:
86 = 2 ×43
42 = 2 × 3 × 7
GCD of 86 and 42 = 2 [GCD = greatest common factor]
Hence, the greatest number of identical packages that Shaquira can make =2
Please help I did the first 2
Answer:
x = 1.5
Step-by-step explanation:
6 - 2x = 3
→ Minus 6 from both sides to isolate -2x
-2x = -3
→ Divide -2 from both sides to isolate x
x = 1.5
In a given set of items, the mode is items which ?
a. appears first
b. appears fewest
c. appears farthest
d. appears most
Answer:
d. appears most
Step-by-step explanation:
Mode is the number that appears the most often in a set of data
A bag contains 2
2
blue marbles, 2
2
red marbles, and 2
2
yellow marbles.
If Jenna randomly draws a marble from the bag (and puts it back) 15
15
times, how many times should she expect to pull a yellow marble?
Answer:
5 times
Step-by-step explanation:
Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.
Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9
Answer:
x = 5√3 inchesStep-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
where a is the hypotenuse
Substitute the values into the above formula
The hypotenuse is 10 inches
We have
[tex] {10}^{2} = {5}^{2} + {x}^{2} [/tex]
[tex] {x}^{2} = {10}^{2} - {5}^{2} [/tex]
[tex] {x}^{2} = 100 - 25[/tex]
[tex] {x}^{2} = 75[/tex]
We have the final answer as
x = 5√3 inchesHope this helps you
Derek can paddle his kayak 6 miles per hour in still water. It takes him as long to paddle 10.5 miles upstream as it takes him to travel 31.5 miles downstream. Determine the speed of the river's current.
Answer:
3 mph
Step-by-step explanation:
Let the speed of the river's current be x
Upstream (against the river's current)
Resultant velocity = 6 - x
Distance covered = (6-x)t
10.5 = (6-x)t
t = 10.5/(6-x)
Downstream (with the river's current)
Resultant velocity = 6+x
Distance covered = (6+x)t
t = 31.5/(6+x)
Therefore.......
10.5/(6-x) = 31.5/(6+x)
10.5(6+x) = 31.5(6-x)
63 + 10.5x = 189 - 31.5x
Collect like terms
42x = 126
x = 3 miles per hour
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Which transformations will change Figure A into Figure B?
Answer:
To transform figure A into figure B, you need to reflect it over the y-axis and translate one unit to the left. A sequence of transformations that will accomplish this is (x, y) + (-x, y) and (x, y) + (x - 1,y).
The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.
What is figure rotation?Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.
In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.
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how do you solve 6 – 5c = -29
Answer: C = 7
Step-by-step explanation:
6 -5c = -29 make the variable be by itself by subtracting 6 on both sides.
-5c = -35 divide -5 on both sides, when dividing if both numbers are negative they become positive.
c = 7
The average annual amount American households spend for daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.a. Suppose you learn that 5% of American households spend less than $1000 for dailytransportation. What is the standard deviation of the amount spent?b. What is the probability that a household spends between $4000 and $6000?c. What is the range of spending for the 3% of households with the highest daily transportationcost?
Answer:
(a) The standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Step-by-step explanation:
We are given that the average annual amount American households spend on daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.
(a) It is stated that 5% of American households spend less than $1000 for daily transportation.
Let X = the amount spent on daily transportation
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = average annual amount American households spend on daily transportation = $6,312
[tex]\sigma[/tex] = standard deviation
Now, 5% of American households spend less than $1000 on daily transportation means that;
P(X < $1,000) = 0.05
P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05
P(Z < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05
In the z-table, the critical value of z which represents the area of below 5% is given as -1.645, this means;
[tex]\frac{\$1000-\$6312}{\sigma}=-1.645[/tex]
[tex]\sigma=\frac{-\$5312}{-1.645}[/tex] = 3229.18
So, the standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is given by = P($4000 < X < $6000)
P($4000 < X < $6000) = P(X < $6000) - P(X [tex]\leq[/tex] $4000)
P(X < $6000) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$6000-\$6312}{\$3229.18}[/tex] ) = P(Z < -0.09) = 1 - P(Z [tex]\leq[/tex] 0.09)
= 1 - 0.5359 = 0.4641
P(X [tex]\leq[/tex] $4000) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{\$4000-\$6312}{\$3229.18}[/tex] ) = P(Z [tex]\leq[/tex] -0.72) = 1 - P(Z < 0.72)
= 1 - 0.7642 = 0.2358
Therefore, P($4000 < X < $6000) = 0.4641 - 0.2358 = 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is given by;
P(X > x) = 0.03 {where x is the required range}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03
P(Z > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03
In the z-table, the critical value of z which represents the area of top 3% is given as 1.88, this means;
[tex]\frac{x-\$6312}{3229.18}=1.88[/tex]
[tex]{x-\$6312}=1.88\times 3229.18[/tex]
x = $6312 + 6070.86 = $12382.86
So, the range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Which equation can be used to find x, the length of the hypotenuse of the right triangle?
Answer:
[tex] \boxed{\sf {18}^{2} + {24}^{2} = {x}^{2}} [/tex]
To Find:
Length of hypotenuse of the right triangle i.e. x
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
[tex] \therefore [/tex]
[tex] \sf \implies {18}^{2} + {24}^{2} = {x}^{2} [/tex]
Answer:
18²+24²=x²
Step-by-step explanation:
to answer this question you must know Pythagorean theorem
a^ 2+b^2 =c^2
a and b stands for the sides with length 24 and 18 and c stands for the HYPOTENUSE . so the correct answer for the above question is 18²+24²=x²
Which formula would you use to calculate the total enclosed space of Firm 1’s structure. Explain your choice.
What is the total enclosed space of Firm 1’s structure
Answer:
Total enclosed space = 6597.35 ft³
Step-by-step explanation:
Firm 1's structure is in the form of a cylinder, so the formula to get the enclosed space or volume of the cylinder will be,
Volume = πr²h
where r = radius of the structure
h = height of the Firm
By substituting the values of 'r' and 'h' in the given formula,
V = [tex]\pi (\frac{70}{2})^{2}(60)[/tex]
= [tex]\pi (35)\times 60[/tex]
= 6597.345
≈ 6597.35 cubic feet
Total enclosed space of Firm 1 is 6597.35 cubic feet.
Answer:
pi*r sqrq
Step-by-step explanation:
bc its a cirlce
total SA=10445.8 units sqrt
ur welcome
answer it answer it answer it.
Answer:
C. p = 3/q
Step-by-step explanation:
An inverse proportion has the form:
y = k/x
Your problem uses p and q, so you need the form
p = k/q
Answer: C. p = 3/q
congruent complements theorem
Answer:
Congruent Complements Theorem If 2 angles are complementary to the same angle, then they are congruent to each other.
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what is the answer to (x+1)(3x+2)
[tex] {x}^{3} - {x}^{2} \div x[/tex]
which of these is an example of a discrete random variable? A. Time worked on a job B. Weight of a child C. First digit of a phone number D. Length of a fish
A discrete random variable has a countable number of possible values. In this case I am pretty sure it is either none of the above or maybe the phone one.
Discrete random variables are simply countable, which should be a finite number and it should not change continuously. So, Time worked on a job is the discrete random variable among the four options.
Discrete random variable:A random variable is said to be discrete if an experiment gives a finite number that is countable and should not change continuously.
Here, Time worked on a job has a fixed time for a job has to be done. So, it is a discrete random variable.
Some more examples of Discrete random variables are:No. of girls in a family,
No. of outcomes of the head when two coins are flipped.
No. of defective street lights out of 100 bulbs in a certain area.
No. of the possible outcome of getting 4 when a dice is thrown twice.
Wrong answers with explanation:The weight of a child changes as the child grows. So, it cannot be a discrete random variable.
The first digit of a phone number also changes for each and every person, whenever a person changes his /her number automatically will get a new number and it will have a different digit. So, it cannot be a discrete random variable.
The length of fish also varies according to the different sizes of fish. So, it cannot be a discrete random variable.
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15 points! :( help asap!:(
(-1,-5)
(0,-3)
(4,5)
(9,15)
Answer:
(0,-3)
Step-by-step explanation:
You can plug in x and y into the equations to see if it works.
(-1,5)
2(-1)-(-5)=-2+5=3 Yes
(-1)+2(-5)=-1-10=-11 No
So (-1,5) Does NOT work.
(0,3)
2(0)-(-3)=0+3=3 Yes
(0)+2(-3)=0-6=-6 Yes
So (0,-3) DOES work.
please hurry!!!! Show that (2, 1) is a solution of the system of equations. x + 3y = 5, y = –x + 3 Substitute (2, 1) into x + 3y = 5 to get 1 + 32 = 5 . Simplify the equation to get . Substitute (2, 1) into y = –x + 3 to get . Simplify the equation to get .\
Answer:
see below
Step-by-step explanation:
x + 3y = 5,
y = –x + 3
Substitute the point into each equation and verify that it is true
x + 3y = 5, 2 +3(1) = 5 5 = 5 true
y = -x +3 1 = -2+3 1=1 true
(2,1) is a solution
Answer:
D,A,A,A,
Step-by-step explanation:
that's the real answer
1d
2a
2a
2a
God bless
49*32’55” + 37*27’15” = ?
Answer:
87°10''
Step-by-step explanation:
In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720
In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240
We now add the fractional parts plus the whole part of the angles together.
So,
49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.
We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600
86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' + 1' + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''
So, 49°32'55'' + 37°27'15'' = 87°10''
A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?
Answer:
A. 10.125 minutes
Step-by-step explanation:
A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?
A. 10.125 minutes
B. 10.125 seconds
C. 10.12 seconds
D. 10.1 seconds
The stopwatch measures time to the hundredth of a second.
Option A. Measures the time to thousandth of a minutes
Option B. Measures time to thousandth of a second
Option C measures time to hundredth of a second
Option C measures time to tenth of a second.
Option A. 10.125 minutes is the quantity which is not possible using the stopwatch because it is in MINUTES.
Option B 10.125 seconds can be rounded up to 10.13 seconds (hundredth of seconds).
A baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of$458. How many apples pies did they sell and how many blueberry pies did they sell
The total number of apple pies is 22 and the total number of blueberry pies is 17.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of $458.
Asumme the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.
The linear equation that represents the total number of pies is:
x + y = 39
x = 39- y --- (1)
The linear equation that represents the total amount collected is:
10x + 14y = 458--- (2)
Substitute the value of 'x' in equation (2).
10(39- y) + 14y = 458
y = 17
Then Substitute the value of 'y' in the equation (1).
x = 39 - 17
x = 22
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A map is drawn using 2cm:100 mi. On the map town B is 3.5 cm from town a in town see is 2 cm past town be how many miles apart or town a in town c
Answer:
275 miles
Step-by-step explanation:
I assume all towns are on the same line. Then, town C is 5.5 cm from town A on the map since 3.5 cm + 2 cm = 5.5 cm.
The real distance can be calculated with a proportion.
2/100 = 5.5/x
2x = 5.5 * 100
2x = 550
x = 275
Answer: 275 miles
Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleQ to the nearest whole degree? 43° 49° 53° 58°
The measure of angle Q in the triangle QMN is 52.83°
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
For a triangle with sides a, b, c and respective opposite angles A, B, C, cosine rule is:
a² = b² + c² - 2bc * cos(A)
In triangle QMN, QM = 18, MN = 17, QN = 20, hence:
17² = 18² + 20² - 2(18)(20) * cos(Q)
Q = 52.83°
The measure of angle Q in the triangle QMN is 52.83°
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Answer:
53
Step-by-step explanation:
its rounded
10.The sum of first 16 terms of the AP: 10, 6 ,2, ....is
− 320− 320
320320
640640
− 352 − 352
Answer:
- 320Step-by-step explanation:
a₁ = 10
a₂ = 6
d = a₂ - a₁ = 6 - 10 = -4
n = 16
a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50
[tex]S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320[/tex]
Figure A is a scale image of Figure B. What is the value of x?
please answer asap!
Answer:
[tex]\huge \boxed{x=30}[/tex]
Step-by-step explanation:
[tex]\sf We \ can \ use \ ratios \ to \ solve.[/tex]
[tex]\displaystyle \frac{45}{27} =\frac{x}{18}[/tex]
[tex]\sf Multiply \ both \ sides \ by \ 18.[/tex]
[tex]\displaystyle \frac{45}{27}(18) =\frac{x}{18}(18)[/tex]
[tex]\sf Simplify \ the \ equation.[/tex]
[tex]\displaystyle \frac{810}{27} =x[/tex]
[tex]30=x[/tex]
HELPPP MEEE
Ying was planning how to seat guests at a dinner. There were between 50 and 100 people coming. Ying noticed that they could be seated with 8 people to a table and no seats left empty. She also noticed that they could be seated with 12 people to a table with no seats left empty. How many people were coming?
Answer:
96 people were coming
Step-by-step explanation:
In this question, we want to determine the number of people who were coming to the party.
First of all, we were made to know that this number is between 50 and 100. So whatever figure we will be giving as answer will be something within that range.
We were told that if 8 or 12 people sat at a table, there would be no remainder left. So basically what we need to do here is to calculate the highest multiple of 8 and 12 which is between 50 and 100.
we could have 24, 48 and 96 as multiples of both. But that multiple that sits between 50 and 100 is 96. So therefore, our answer is 96.
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
A. 7[tex]\sqrt{2}[/tex]
B. [tex]\frac{7\sqrt{3} }{2}[/tex]
C. [tex]7\sqrt{3}[/tex]
D. [tex]\frac{7\sqrt{2} }{2}[/tex]
Answer:
7 sqrt(2)/2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = x/7
7 sin 45 =x
7 sqrt(2)/2 =x
Answer:
[tex]\large \boxed{\mathrm{D. \ \displaystyle \frac{7\sqrt{2} }{2 }}}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trigonometric functions to solve the problem.
[tex]sin \theta = opp/hyp[/tex]
The opposite side to the angle 45 degrees is x and the hypotenuse of the triangle is 7.
[tex]sin 45 = x/7[/tex]
Multiply both sides of the equation by 7.
[tex]7 sin 45 = x[/tex]
Simplify the value.
[tex]\displaystyle \frac{7\sqrt{2} }{2 }=x[/tex]
5. Name the property of real numbers illustrated by the equation. (-2)(3 + ) = (-2)( + 3)
Answer:
Commutative property
Step-by-step explanation:
You can switch the places of -2 and 3 without changing the output.
This property is called the commutative property
4/10=x/1 Need help thx
Answer:
2/5 =x
Step-by-step explanation:
4/10 = x/1
4/10 =x
Simplify
2/5 =x
Answer:
x=0.4
Step-by-step explanation:
4/10=0.4
x/1 has to equal 0.4 too
0.4/1
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29. A painter leans a ladder against the side of a
house that is 3 feet from the base. If the top
of the ladder reaches 16 feet, how long is the
ladder ?
HELP! answer if you can!
Answer:
16.2788 feet
Step-by-step explanation:
a²+b²=c²
3²+16²=c²
9+256=c²
265=c²
c=√265
c=16.2788 feet
If the ladder is 3 feet from the base of the house and the top is 16 feet from the base then the length of ladder is approximately 16.2788 feet long.
What is pythagoras theorem?Pythagoras theorem says that in a right angled triangle the square of hypotenuse of triangle is equal to the sum of squares of base and perpendicular of that respective triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex] where H is hypotenuse, P is perpendicular, B is base of triangle.
How to find length of ladder?If a painter leans a ladder against a wall then it forms a right angled triangle so in this we will apply pythagoras theorem to find the length of ladder.
let the length of ladder be h so,
[tex]h^{2} =3^{2} +16^{2}[/tex]
[tex]h^{2} =9+256[/tex]
[tex]h^{2} =265[/tex]
h=[tex]\sqrt{265}[/tex]
h=16.2788 feet.
Hence the length of ladder is 16.2788 feet.
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hey gouys I need help on this to plz help mee
Answer:
d. 3√6 = 7.348
Step-by-step explanation:
1. simplify each expression
a. √150 / 2 = 6.124
b. π + 4 = 7.142
c. 2π = 6.283
d. 3√6 = 7.348
the largest number will be the closest to 8. therefore, point W is expression D.
