Answer:
Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8
A-18x+15
Is it possible to rewrite any proof that uses the AAS Congruence Theorem as a proof that uses the ASA Congruence Theorem? Explain your reasoning.
Answer: Yes
Step-by-step explanation:
If you were to use AAS, you could prove the third pair of angles congruent by using the fact that the sum of the measures of the angles of a triangle is 180 degrees, and since you have two of the angles, you can solve for the third pair of angles, which would be congruent.
Calculate the perimeter of the figure
Answer: 76 meters
Step-by-step explanation:
top side left blank = 18 because it is congruent to the bottom
left side blank is 4 + 4 + 4 (right side lengths added)
left side blank is 12
add all side lengths together for perimeter
12 + 18 + 4 + 8 + 4 + 8 + 4 + 18 = 76
76 meters
A water-walking ball has a volume of approximately 4.19 m 3 . What is the radius, r, of the ball?
[tex]~~~~~~V = 4.19 \\\\\implies \dfrac{4}3 \pi r^3 = 4.19\\\\\implies r^3 = \dfrac{4.19 \times 3}{4\pi}\\\\\implies r^3 = \dfrac{12.57}{4\pi} \\\\\implies r = \sqrt[3]{\dfrac{12.57}{4\pi}}\\\\\implies r= 1.00009..\\\\\implies r \approx 1~ m[/tex]
The value of radius of water-walking ball is,
⇒ r = 1.003 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A water-walking ball has a volume of approximately 4.19 m³.
Since, We know that;
Volume of sphere = 4/3πr³
Hence, We get;
⇒ 4.19 = 4/3 × 3.14 × r³
⇒ r³ = 1.001
⇒ r = 1.003 m
Thus, The value of radius of water-walking ball is,
⇒ r = 1.003 m
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A machine is supposed to fill bags with an average of 19.2 ounces of candy. The manager of the candy factory wants to be sure that the machine does not consistently underfill or overfill the bags . So the manager plans to conduct a significance test at the alpha = 0.10 significance level of H_{0} / mu = 19.2; H a : mu ne19.2 where mu = the true mean amount of candy (in ounces) that the machine put in all bags filled that day. The manager takes a random sample of 75 bags of candy produced that day and weighs each bag. The sample mean weight for the bags of candy was 19.28 ounces and the sample standard deviation was 0.81 ounce.
Find the P-value.
Answer: c. Step-by-step explanation:
An orange cone has a exact volume of 120π ft³. What is the height of the cone if the radius is 6ft?
Answer:
10 ft
Step-by-step explanation:
Given:
Radius ⇒ 6 feetFormula of cone ⇒ V = 1/3πr²hPlug in the values given:
120π=1/3π(6²)hCancel π from both sides and simplify:
120 = 1/3 36h120 = 12hAnswer:
Height = 10The height of the cone if the radius is 6ft is,
⇒ h = 3.18 feet
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
An orange cone has a exact volume of 120π ft³.
And, The radius = 6 feet
Now, We know that;
Volume of cone = πr²h/ 3
Hence, We get;
⇒ 120 = 3.14 × 6² × h / 3
⇒ 120 = 3.14 × 12h
⇒ 120 = 37.68h
⇒ h = 3.18 feet
Thus, The height of the cone if the radius is 6ft is,
⇒ h = 3.18 feet
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help me find m and n please
Answer:
n is 68 and m is 44
Step-by-step explanation:
the ratio of boys to girls in mrs.cunnginghams class is 2 to 3. there are 18 girls in the class. what is the total number of students in mrs.cunninhams class
Answer:
The total number of students that are in Ms. Cunningham's class is 30 students
Step-by-step explanation:
the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.
Total number of students = 12 + 18 = 30
See pictures attached below. Will give Brainliest!
Question 1 Answer:
Aunt 1 and Grandma 1 would fill gift bags.
Mom and Aunt 2 would make centerpieces.
You and Grandma 2 would blow up balloons.
Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.
Question 2 Answer:
We use algebra and our previous pairings to determine the length of each task.
Gifts Bags --> 6/7 hours
x = time together
[tex]\frac{1}{x}[/tex] = rate of completion
Aunt 1 = [tex]\frac{1}{1.5}[/tex] Grandma 1 = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{3} +\frac{1}{2} = \frac{1}{x}[/tex]
[tex]\frac{7}{6} = \frac{1}{x}[/tex]
[tex]x = \frac{6}{7}[/tex]
Centerpieces --> 7/4 hours
x = time together [tex]\frac{1}{x}[/tex] = rate of completion
Mom = [tex]\frac{1}{3.5}[/tex] Aunt 2 = [tex]\frac{1}{3.5}[/tex]
[tex]\frac{2}{7} + \frac{2}{7} = \frac{1}{x}[/tex]
[tex]\frac{4}{7} = \frac{1}{x}[/tex]
[tex]x = \frac{7}{4}[/tex]
Balloons --> 15/16 hours
x = time together [tex]\frac{1}{x}[/tex] = rate of completion
You = [tex]\frac{1}{1.5}[/tex] Grandma 2 = [tex]\frac{1}{2.5}[/tex]
[tex]\frac{2}{3} + \frac{2}{5} = \frac{1}{x}[/tex]
[tex]\frac{16}{15} = \frac{1}{x}[/tex]
[tex]x = \frac{15}{16}[/tex]
Shortest amount of time to complete all tasks is:
[tex]\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}[/tex] ≈ 3.54 hours
Converting hours to hours and minutes --> 3 hours 32 minutes
Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.
Please i need the answer to this asap!!!
Answer:
They do not pay the same amount. Manuel's family pays more than Amelia's.
Step-by-step explanation:
General:
Child: c
Adult: 4 + c
Senior: 3 + c
Amelia's Family:
Total cost = 3(c) + 2(4 + c)
= 3c + 8 + 2c
= 5c + 8
Manuel's Family:
Total cost: 2(c) + 4 + c + 2(3 + c)
= 2c + 4 + c + 6 + 2c
= 5c + 10
Is the equation y=5x+1 a linear equation? Explain.
Answer:
Yes
Step-by-step explanation:
Linear equations are equations in which the highest power of the equation is always 1, they look like a straight line when put on graph and they usually have this form: y = ax + b
y = 5x + 1 is a good example of a linear equation but they may also look like: y = 2x (b = 0) or y = x + 3 (a = 1).
The product of two integers is 72.
If one integer is 9 what is the other integer?
Answer:
8
Step-by-step explanation:
a*b=72
a=9
9*b=72
b=72/9
b=8
pls help will give brainliest
i need this by 12
The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
⇒ ABCD is a parallelogram.
Now, We have complete table is,
Statements Reasons
1) AD || BC Definition of parallelogram.
2) ∠ADB ≅ ∠CBD Alternate interior angle theorem.
3) AB || CD Definition of parallelogram.
4) ∠ABD ≅ ∠CDB Alternate interior angle theorem.
5) DB ≅ DB Reflexive property of congruence.
6) ΔABD ≅ ΔCDB By SAS congruency theorem.
Thus, The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
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3,900,000 / 2 please help
Answer: 1,950,000
Step-by-step explanation: Divide by 2 beginning with the first digit which is 3 up to the last zero
which type of function describes her total savings after m months and why?
Answer:
A.
Step-by-step explanation:
I would advise finding the difference between 300 and 200 and 450 and 300:
[tex]300-200=100\\450-300=150[/tex]
We can eliminate C and D since she saves 100 the first month and 150 the second month.
The next step would be to find the increase every month:
[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]
If we would write the increase as a function, we would get:
[tex]y= 1.5x[/tex]
we can check this by substituting values:
[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]
An exponential function looks like this:
[tex]y= a^x[/tex]
A linear function looks like this:
[tex]y=mx+b[/tex]
Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:
[tex]y=1.5x+0\\y=1.5x[/tex]
Therefore our function resembles a linear function more than an exponential function, eliminating answer B.
What are the zeros of the function f(x) = x2 + 7x – 18? Enter your answers in the boxes with your greatest answer first. The zeros of f(x) ar AN A/
Answer:
The answer is 2 and (-9)
Step-by-step explanation:
x² + 7x – 18 = 0
x² + 9x – 2x – 18 = 0
x(x + 9) – 2(x + 9) = 0
(x – 2) (x + 9) = 0
x = (2, -9)
Thus, The zeroes of the polynomial is 2 and (-9).
11x + 14y = 65
-11x – 8y = -41
solve for x
Answer:
[tex](x \: y)= ( \frac{379}{107} \: \frac{199}{107} )[/tex]
Step-by-step explanation:
i hope it's to help
gary and heather each make potatoes using different recipes the table shows how much potatoes and cheese each person uses.
Answer:
What is the question? Also, your answer looks a bit wrong 1 think t should be 1 oz
Step-by-step explanation:
For every 15 oz potatoes, Garry uses 0.5 oz less cheese than Heather. So Heather's cheesy potatoes have more cheese.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
For Gary's recipe of cheesy potatoes has 15oz of potatoes and 4oz of cheese.
Ratio of potatoes to cheese in Gary's recipe = 15/4
Heather's recipe of cheesy potatoes has 10 oz of potatoes and 3 oz of cheese.
Ratio of potatoes to cheese in Heather's recipe = 10/3
Multiplying with 1.5 in numerator and denominator
Ratio of potatoes to cheese in Heather's recipe = 15/4.5
Thus, for every 15 oz potatoes heather uses 4.5 oz of cheese.
Hence, In Heather's recipe amount of cheese is 0.5 oz more than Garry's recipe per 15 oz. of potatoes.
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100 PTS!!A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P’Q’ and A’B’ and M’N’.
Drag and drop the measure to correctly match the lights of the images.
P’Q’ ->
A’B’->
M’N->
Choices: 0.375cm, 0.5cm, 0.75cm, 6cm, 8cm, 12cm.
Answer:
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
Step-by-step explanation:
A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.
The length of PQ is given as: 2 cm.
The length of line segment AB is given as: 1.5 cm
The length of line segment MN is given as: 3 cm.
Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.
PQ → P'Q'
⇒ Length of P'Q'= 8 cm. ( since 4×2=8)
AB → A'B'
⇒ Length of A'B'= 6 cm. ( since 1.5×4=6)
MN → M'N'
⇒ Length of M'N'= 12 cm. ( since 4×3=12)
Hence,
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
As no points are shown so only steps can be provided to solve
So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)
So new coordinates are (4x,4y)
So
if length of segment was x then after dilation new length is 4x
What is the third angle on a triangle with angels of 30 and 60?
Answer:
90 degrees
Step-by-step explanation:
a triangles angles add up to 180
this means that you can add all the angles together and get 180
you can first add 30 and 60 and then subtract the sum from 180
30 + 60 = 90
180 - 90 = 90
the last angle is 90 degrees
Hey ! there
Answer:
Third angle is equal to 90 degreesStep-by-step explanation:
In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .
For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.
Solution : -
As we know that ,
First angle = 30°Second angle = 60°Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)So ,
[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]
Step 1 : Adding 30° and 60° :
[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]
Step 2 : Subtracting 90° from both sides :
[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]
On further calculations , We get :
[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]
Henceforth , value of x that is our third angle of triangle is 90° .Verifying : -
Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,
Angle 1 + Angle 2 + Angle 3 = 180°30° + 60° + 90° = 180°90° + 90° = 180°180° = 180°L.H.S = R.H.SHence , Verified .Therefore, our solution is correct .
#Keep LearningSolve for x to the nearest tenth.
Answer: 6.9
Step-by-step explanation:
Solve for the hypotenuse in the smaller triangle 5.83
Solve for x²= 9² - 5.83² = 81 - 33.99
X² = 47.01
A total of 640 people voted in an election. The circle graph shows the results.
A.) How many people voted for Gordon? Show your work
B.) How many people voted for Smith or Fishman? Show your work
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
6.2
Step-by-step explanation:
I don't think you need my explanation anymore.
please huryyyyyyyyyyyyyyyyyyyyyy!!!!!!!!!!
Answer:
(x-1)^2 + (y-1)^2 = 16
Step-by-step explanation:
center, (h,k) = (1,1) radius = 4
put in standard form for a circle
(x-h)^2 + ( y-k)^2 = r^2
What is the surface area of the cube.
A. 409 cm²
B. 2400 cm²
C. 2004 cm²
D. 40 cm²
Surface area
6a^26(20)^2400(6)2400cm^2Pls help I’ll give 30 points
Answer:
C
Step-by-step explanation:
30, 32, 33, 33, 34, 37, 39, 41, 43, 47, 49, 52, 53, 57
Middle numbers: 39 + 40 = 80/2 = 40
Highest number: 57
Lowest number: 30
I hope this helps!
can someone please help me with this question
Answer: I think its D
Step-by-step explanation:
what is the answer to this question?
Answer:
2.3 inches
Step-by-step explanation:
v = lwh (volume equals length times width times height)
5.52 = 2.4 x 1 x d
multiply l and w, which is 2.4 x 1
5.52 = 2.4 x d
divide 5.52 by 2.4
2.3 = d
Answer: 2.12
Step-by-step explanation: Okay, you first add 2.4+1, which is obviously 3.4.
Then you subtract 5.52 by 3.4.
You should get 2.12.
I hope I helped. <3
can someone please help me with this question
Answer:
30.4
Step-by-step explanation:
17+28+32+35+59+20+19+33+30+31=304
304/10=30.4
who can answer this help me bro/sis?
Answer: 144 degrees, 136 degrees
Question 1:
The first x should be 144 because a straight line should equal 180, so you just subtract the (left angle or 36 degrees) with 180 to get the opposite angle.
Question 2:
For the second x, add the 2 interior angles and subtract it by 180 or the total sum of the interior angles.
49 + 87 = 136
180 - 136 = 44
Then follow the same steps in the first question.
180 - 44 = 136
Which two sets of events are most likely independent?
O A. Event A: A student makes the drama team.
Event B. The student likes macaroni and cheese.
B. Event A: A student gets enough sleep.
Event B. The student is alert in class.
C. Event A: A car is blue.
Event B. The car lasts over 20 years.
D. Event A: A woman buys cat toys.
Event B: The woman has a cat.
Answer:
A - Event A: A student makes the drama team. / Event B. The student likes macaroni and cheese.C - Event A: A car is blue. / Event B. The car lasts over 20 years.