Answer:
56mm
Step-by-step explanation:
they are parallelograms so the opposite sides are equal.
in the bottom parallelogram the top side length is 4x the side side length so in the top one the top side length must be 4x the side side length to be similar, so 14*4=56mm
Please help me I don't want to get the answer wrong
The equation that models the situation is 0.50x+7.50= 0.75(x+6)( option B)
What is average cost?Average cost is the ratio of the total cost to the total number of unit. It can be expressed mathematically as AC = TC/Q
where Q is the total number of unit and TC is the total cost
Cost for wooden bead = 0.5× x= 0.5x
cost for glass beads = 1.25×6 = $7.50
total cost = 0.50x+ 7.50
total unit = x+6
therefore average cost = (0.50x+7.50)/(x+6)
0.75= (0.50x+7.50)/(x+6)
therefore 0.5x+7.50 = 0.75(x+6)
therefore the equation 0.5x+7.50 = 0.75(x+6) can be used to model the situation.
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there are 12 white rabbits and 19 brown rabbits for sale. If each rabbit is sold for $23, how much money will the store make from the sale of the rabbits?
Answer:
The answer to your question is $713.
What is the volume of the square pyramid?
Answer:
you can solve by using the formula
volume = length x width x height
(I'm also bad at math so sorry if this isn't very helpful)
Step-by-step explanation:
1 all the bases are the same which means your length and width should be 5m
2 just multiply 5 x 5 x 14.2 and that should give you the awnser
Which expression represents a number that is five times the difference of six and two
5(6-2) represents a number that is five times the difference of six and two.
The record low temperature in Fargo, ND is -37F. The record high is 109F what is the difference in the record high and the record low temperature?
F. 72
G.109
H.33
J.146
It’s either 72 or 146 I’m not sure though! Please help. It will be appreciated.
Answer:
Step-by-step explanation:
Answer: i think its 146
Step-by-step explanation:
the product of a number n and 2 is 2 what is the equation
Answer:
n*2=2
Step-by-step explanation:
Product signifies multiplying two or more numbers together. In this instance, it is n and 2. Then it says it is equal to 2, so 2 goes on the other side of the equal sign.
The pentagons ABCDE and JKL MN are similar.
Find the length x of JK.
C
3
B
N
D
4
E
3
A
7
2.1
1.4
K
M
X
2.8
N
2.1
J
Answer:
3.5
Step-by-step explanation:
find the ratio between any two corresponding sides. for example : 1.4/2 = 0.7
this should be the same number for all sides
thus 5 * 0.7 = 3.5
Answer:
23456892245u
Step-by-step explanation:
Allah sh all will am am well ram chirac flow
3. Zach is preparing for an interview and needs to
purchase 2 ferns and 7 balloons. Each balloon costs
$2.30, and he has $50 total to spend. What is the
maximum amount he could spend on each fern?
[~Answer~} (7.):
Hey there. I'm Avery, and I'm here to help you with your amazing question! <33
I believe the answer is: $16.95 per fern tree.
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Answer Explanation~]:
first, you want to find how much money the 7 balloons cost:
7(2.30) = 16.10
second, you want to find how much money you have left AFTER buying 7 balloons:
50 - 16.10 = 33.90
third, divide the money you have left by 2 (2 fern trees) to find the final answer:
33.90/2 = 16.95
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Last Messages~]
Okay, I really hope my answer is correct.
I am truly sorry if it's wrong :(
Have a great morning, afternoon, or night. <333
[-!AveryIsSomehowAlive!-]
Eight less than a number, n, is at least 10.
Which inequality represents this statement?
8- n > 10
n - 8 > 10
8- n < 10
n-8 < 10
Answer:
n - 8 >= 10
n minus 8 is greater than or equal to 10
Eight less than a number " n" , is at least 10.
The inequality for this condition can be represented as
\(\bold{ { n-8\geq 10}}\\\)
Hence option (2) is correct
To find out the expression for this inequality let us consider that the number be ''n"
Since the actual number in the question is less than this number \(\rm n\) by \(8\) hence let the new number be \(\rm N\)
From the given condition in the statement we can write that
\(\rm N = n-8\)
According to the condition given in the statement we can write that
The value of \(\rm N\) is at least 10. This means the minimum value for \(\rm N\) is 10.
This signifies that N can be any number with minimum value 10.
So the inequality for this condition can be represented as
\(\rm\bold{ { N\geq 10}}\\\bold{ { n-8\geq 10}}\\\)
Hence option (2) is correct
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Use the cosine ratio to find the value of x, to the nearest tenth.
a) 2.7
b) 3.2
c) 4
d) 3.9
Answer:
c) 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle θ = 34°
Adjacent Leg = x
Hypotenuse = 4.8
Step 2: Solve for x
Substitute [Cosine]: cos34° = x/4.8Isolate x: 4.8cos34° = xRewrite: x = 4.8cos34°Evaluate: x = 3.97938Round: x ≈ 4Wayne earns 7%
simple interest for 5
years on $3500. What
is the total amount in
the account?
Answer:
49
Step-by-step explanation:
3500 divided by 5 equals 700
700 times 7% equals 49
The sum of two numbers is twenty. Three times the smaller is equal to two
times the larger. Find the two numbers.
Answer:
8 & 12
Step-by-step explanation:
x+y=20 [The sum of two numbers is twenty]
3x=2y [Three times the smaller is equal to twice the larger]
.
x=20-y [Solve for x]
3(20-y)=2y [Substitute (x=20-y) into the second equation]
60-3y=2y [Solve for y]
60=5y
60/5=y
12=y
.
x+y=20 [Plug (y=12) back into either of the original equations]
x+12=20 [solve for x]
x=8
.
Answer:
The smaller number is 8
The larger number is 12
Step-by-step explanation:
Let the smaller number be x
Let the larger number be y
Translate the question and solve ;
\(x +y = 20\\3(x) =2(y) \\\\\begin{bmatrix}x+y=20\\ 3x=2y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+y=20:\quad x=20-y\\\\\mathrm{Subsititute\:}x=20-y\\\\\begin{bmatrix}3\left(20-y\right)=2y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:3\left(20-y\right)=2y:\quad y=12\\\\\mathrm{For\:}x=20-y\\\\\mathrm{Subsititute\:}y=12\\\\x=20-12\\\\Simplify\\\\x =8\\\\x=8,\:y=12\)
Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
C. $452115.44
Step-by-step explanation:
To solve this, we will follow the steps below;
first write down the formula for compound interest
A= P [ 1 + \(\frac{r}{n}\)]^nt
where A is the ending amount
P represent the principal
r represent the interest rate
n represent the number of compounding a year
t represent the time {in years)
from he question above
p= $318 000
r = 0.071
n = 4 since is quarterly
t= 5
we can now proceed to insert the values into the formula
A= P [ 1 + \(\frac{r}{n}\)]^nt
=318 000 [1+\(\frac{0.071}{4}\)] ^4(5)
= $318 000 [1+\(\frac{0.071}{4}\)] ^20
=$318 000 [1+0.01775] ^20
= $318 000 [1.01775] ^20
=$318 000× 1.421747
≈$452 115.44
He will have $452 115.44 in the account
Find the area of each triangle 10in. 9in.
Answer: 45
Step-by-step explanation: Area of a triangle is l x h all divided by 2.
Plug numbers in. 9 x 10=90. 90/2 = 45.
the water in a drainpiipe is 18 cm deep. the width of the surface of the water is 48 cm. find the radius of the pipe
The radius of the pipe is approximately 8.13 cm.
To find the radius of the pipe, we can use the formula for the volume of a cylinder, which relates the depth of the water, the width of the surface, and the radius of the pipe.
The volume of a cylinder is given by the formula V = π\(r^2\)h, where V is the volume, r is the radius, and h is the height or depth.
In this case, we are given the depth of the water as 18 cm and the width of the surface as 48 cm.
Since the width of the surface is equal to the diameter of the pipe, we can use the formula for the diameter of a circle, which is twice the radius.
Therefore, the radius is half of the diameter, or r = 48/2 = 24 cm.
Using the formula for the volume of a cylinder, we can write the equation as V = π\((24)^2\)(18), where V is the volume.
We know that the volume is equal to the cross-sectional area of the pipe multiplied by the depth of the water.
The cross-sectional area is given by the formula A = π\(r^2\).
Now we can solve for the radius.
Rearranging the equation V = π\((24)^2\)(18), we get
\((24)^2\) = V/(π(18))
Solving for \((24)^2\), we find that the radius is approximately 8.13 cm.
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Find the length of the third side. If necessary, round to the nearest tenth. 21 25
Answer:13.6
Step-by-step explanation:
7. Circle which graph shows a dilation.
(ignore the question underneath)
Answer:
The answer is B.
Step-by-step explanation:
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Elisa and her friend are dividing a 34-ounce bag of pretzels. Elisa
shares her portion equally with her two sisters. Which fraction
represents the amount of pretzels, in pounds, each person receives?
A. 17/48 lb
B. 2 1/8 lb.
c. 11 1/3 lb.
D. 1/2 lb.
Amount of pretzel each person receives is 17/16 lb.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Total weight of the bag of pretzels = 34 ounce
Elisa shares this among her two sisters equally.
Share of pretzels each sister gets = 34 / 2 = 17 ounces
We need this amount in pounds.
We know that,
16 ounce = 1 lb.
17 ounces = 17/16 lb.
Hence the amount of pretzels each get is 17/16 lb.
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Q6. The diagram shows two similar solids, A and B.
Solid A has a volume of 80 cm.
(a)
Work out the volume of solid B.
Answer:
640cm³
Step-by-step explanation:
Length SF = ×2
Volume SF = ×2³ = ×8
Volume of B = 8 × 80 = 640cm³
The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The diagram shows two similar solids, A and B. Solid A has a volume of 80 cm³.
The scale factor is given as,
Scale factor = 8 / 4
Scale factor = 2
The scale factor of the volume is given as,
⇒ 2³
⇒ 8
Then the volume of the solid B will be given as,
Volume of B = 8 x 80
Volume of B = 640 cm³
The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.
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There are 5 question if you guys help me you’ll get brainlest:) 1/5
Answer:
D
Step-by-step explanation:
11/3 = 3.66
so it must be D
Answer:
c 3 2/3
Step-by-step explanation:
i need help with this problem
Answer:
D
Step-by-step explanation:
The difference is x is 1 units up and the difference of y is also 1 units at D therefore it is linear
One book has 84 pages. Another book has 210 pages. Which is the greatest common factor of the number of pages in the two books?.
a. 14
b. 21
c. 42
d. 84
Answer:
C
Step-by-step explanation:
Factor the two numbers into their prime factors.
84: 2 * 2 * 3 * 7
210: 2 * 5 * 3 * 7
The highest common factor is 2 * 3 * 7
The highest common factor is 42
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
A: 5
B: 2
C: -34
A girl scout troop uses 14 flashlight batteries on a three-night camping trip. If they are planning a seven-night
trip, what is the minimum number of batteries they should bring?
***round to nearest whole battery ***
Answer:
33 batteries
Step-by-step explanation:
14/3 = 4.666 which you round to 5
14 +14 =28
28 +5 =33
Answer:
35
Step-by-step explanation:
A clinic has several doctors. Every patient, on average, requires about 27 minutes with a doctor Each doctor works 8 hours per day and 7 days per week. The clinic also operates 8 hours per day and 7 days per week. Based on past observations, the clinic must serve 122 patients per day. How many doctors should the clinic hires in order to serve 122 patients per day? Use at least 4 decimals in your calculation and answer.
The clinic should hire at least 7 doctors in order to serve 122 patients per day.
To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.
Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.
Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.
Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.
To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.
Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.
In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.
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A camera is able to capture 3/4 of a picture per second. How long will it take a camera to snap 6 pictures
6.[–/13 Points]DETAILSALEXGEOM7 6.2.016.MY NOTESASK YOUR TEACHERPRACTICE ANOTHERConsider the following figure.A circle, five points, five line segments, and two angles are given.Point A lies outside the circle, on the left.Four points lie on the circle:B is on the left, just above center; C is on the top right; D is on the left, just below center; and E is on the bottom right.Segment A C, which intersects the circle at B, and segment A E, which intersects the circle at D, meet outside the circle at A.Segment C E lies inside the circle and appears vertical.Segment B E and segment C D lie inside the circle and intersect at a point.The angle to the right of the intersection point, formed above B E and below C D, is labeled 1.∠C A E is labeled 2.Given:m∠1 = 74°m∠2 = 34°Find: mCE$\frown{\hspace{25px}}$ and mBD$\frown{\hspace{25px}}$ in degreesmCE$\frown{\hspace{25px}}$ =°mBD$\frown{\hspace{25px}}$ =°
The arc measures on the given circle are as follows, using theorems:
1. Arc CE: 148º.
2. Arc BD: 6º.
What is the measure of Arc CE?The measure of Arc CE is found applying the central angle theorem, which states that the measure in degrees of the arc is twice the measure of the inscribed angle from these points.
The measure of the inscribed angle is of m<1 = 74º, hence the measure of the arc is given as follows:
m<Arc CE = 2 x 74º = 148º.
What is the measure of Arc BD?The measure of arc BD is found applying the outside angle theorem, which states that the measure of the arc formed by two secants of the circle is half the difference of the measures of the intercepts arcs.
Hence, in the context of this problem, the measure of arc BD is obtained as follows:
34 = (74 - BD)/2
74 - BD = 68
BD = 6º.
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(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Can someone break this down step by step so i know how to do it please
thankyou .
Answer:
12x+3y+3
Step-by-step explanation:
Let's simplify step-by-step.
4x+2y+6+7x+3y−4+x−2y+1
=4x+2y+6+7x+3y+−4+x+−2y+1
Combine Like Terms:
=4x+2y+6+7x+3y+−4+x+−2y+1
=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)
=12x+3y+3
Answer:
12x + 3y + 3
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Step 2: Simplify
Combine like terms (x): 12x + 2y + 6 + 3y - 4 - 2y + 1Combine like terms (y): 12x + 3y + 6 - 4 + 1Combine like terms (Z): 12x + 3y + 3The mean is ? = 137.0 and the standard deviation is ? = 5.3.
Find the probability that X is between 134.4 and 140.1.
0.4069
0.6242
0.8138
1.0311
The probability that X is between 134.4 and 140.1 is approximately 0.4076, which is closest to the option 0.4069.
To calculate this probability, we need to standardize the values using the standard normal distribution. First, we find the z-scores for the lower and upper bounds:
z1 = (134.4 - 137.0) / 5.3 ≈ -0.4906
z2 = (140.1 - 137.0) / 5.3 ≈ 0.5849
Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability corresponding to z1 is P(Z < -0.4906) ≈ 0.3131, and the probability corresponding to z2 is P(Z < 0.5849) ≈ 0.7207.
To find the probability that X is between 134.4 and 140.1, we subtract the probability associated with the lower bound from the probability associated with the upper bound:
P(134.4 < X < 140.1) = P(Z < 0.5849) - P(Z < -0.4906) ≈ 0.7207 - 0.3131 = 0.4076.
As a result, the chance that X lies between 134.4 and 140.1 is roughly 0.4076, which is closest to the value of 0.4069 for the option.
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f(x)=2x+3
what is the value of f(-4)
Answer:
f(-4) = -5
Step-by-step explanation:
Step 1: Define
f(x) = 2x + 3
f(-4) is x = -4
Step 2: Substitute and Evaluate
f(-4) = 2(-4) + 3
f(-4) = -8 + 3
f(-4) = -5
Answer:f(-4) = -5
Step-by-step explanation:
Step 1: Define
f(x) = 2x + 3
f(-4) is x = -4
Step 2: Substitute and Evaluate
f(-4) = 2(-4) + 3
f(-4) = -8 + 3
f(-4) = -5