The relationship between the three pieces is such that, their
sum is the length of the given stick.
Correct response:
Three equations that show different ways in which he can
break the stick of length l based on a unit length x are;
l = x + 2·x + 3·xl = x + 5·x + 8·xl = 3·x + 2·x + 6·xHow to write equations of three variables that have the same total sum?Given parameters are;
The number of pieces into which Christopher has to break the stick = 3 pieces
Length of a piece ≠ The length of the other pieces
Required:
Three equations that shows the different ways Christopher can break the stick.
Solution:
Let l represent the length of the stick, let x, represent a unit
length, and let, A, B, and C, represent the length of the pieces.
Three possible equations that can be written using multiples of x are;
l = x + 2·x + 3·xWhere;
The the relationship between the lengths of the pieces are;
A = x ≠ B = 2·x ≠ C = 3·x
[tex]x = \mathbf{ \dfrac{l}{6}}[/tex]
l = x + 5·x + 8·xA = x ≠ B = 5·x ≠ C = 8·x
[tex]x = \mathbf{ \dfrac{l}{14}}[/tex]
l = 3·x + 2·x + 6·xWhere;
A = 3·x ≠ B = 2·x ≠ C = 6·x
[tex]x = \mathbf{\dfrac{l}{11}}[/tex]
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Write each phrase as an algebraic expression.
4. Jenny is 5 times as a old
5. Brandon spent 10 dollars more
What is the greatest common factor of 15, 75, and 9
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Factors of each number }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1. 3. \& 9}\\\large\textsf{15: 1, 3, 5, \& 15}\\\large\textsf{75: 1, 3, 5, 15, 25, \75}[/tex]
[tex]\huge\text{Like terms between the factors}\\\\\bullet \large\textsf{1 \& 3}[/tex]
[tex]\huge\text{Reason for the factors of the numbers }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1}\times\large\textsf{9 = \bf{9} }\& \large\textsf{ 3}\times\large\textsf{3 = \bf 9}\\\\\large\textsf{15: 1}\times\large\textsf{15 = \bf 15 }\&\large\textsf{ 3}\times\large\textsf{5 = \bf 15}\\\\\large\textsf{75: 1}\times\large\textsf{ 75 = \bf 75}, \large\textsf{ 3}\times\large\textsf{25 = \bf 75}, \& \large\textsf{ 5}\times\large\textsf{ 15 = \bf 75}[/tex]
[tex]\huge\text{BIGGEST NUMBER OUT OF THE LIKE}\\\huge\text{TERMS }\huge\boxed{\downarrow}\\\\\large\textsf{\bf 3}[/tex]
[tex]\huge\text{ANSWER }\huge\boxed{\downarrow}\\\\\large\boxed{\textsf{The GCF (Greatest Common Factor) is: \huge\boxed{\textsf3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\text{Amphitrite1040:)}[/tex]help please asap please
what is the absolute value of |4x|- 12 = 4
Answer:
X = 4
Step-by-step explanation:
4 X 4 equals 16 and 16 minus twelve equals 4
PLS HELP I WILL MARK BRAINLIST!!
Answer:
C, 105
Step-by-step explanation:
45 divided by 3 is 15 so 15 x 7 = 105 minutes.
You want Brainliest help me plsss
Answer:
the slope in the equation is 5, while the slope on the graph is 2
4. Find the percent of increase from 56 to 70. Round your answer
to the nearest tenth of a percent.
Answer:
25%
Step-by-step explanation:
Please help ...........
Answer:
B
Step-by-step explanation:
Need answer to this urgently
Answer:
x=3
Step-by-step explanation:
25+134+4x+9+180
4x+168+180
4x+12
x=3
Identify the domain of the function pictured below.
the partial circle has a radius of 11 inches
What is the area of this figure? ANSWER ASAP
Answer:
285.1 in.²
Step-by-step explanation:
The circle is a ¾ circle.
Area of the figure = ¾(πr²)
Radius (r) = 11 in.
Plug in the value
Area = ¾(π*11²)
Area = ¾(π*121)
Area = 285.099533 ≈ 285.1 in.² (nearest tenth)
A set of 4 chairs cost $56, or you can buy 1 chair for $16. How much less is the cost of 1 chair if you buy the set?
Find the measurement of Angle SPQ
Answer:
146 °
Step-by-step explanation:
sum of angles in circle = 360°
360 - 154-60-86 = 60
60 = UPS
SPQ = UPS + QUP = 60 + 86 = 146°
Which step has the mistake in solving for roots?
2x^2 – 7x – 3 = 1
Step 1: 2x^2 – 7x – 4 = 0
Step 2: x^2 – 7x – 8 = 0
Step 3: (x-8)(x+1) = 0
Step 4: (x-8/4)(x+1/4) = 0
Step 5: (x-2)(4x+1) = 0
Step 6: x – 2 = 0 4x + 1 = 0
Step 7: x = 2 x = -1/4
One of these steps is incorrect. List the step that is incorrect, then finish the problem correctly.
Answer:
Step-by-step explanation:
2x² - 7x - 3 = 1
Step 1: 2x² - 7x - 4 = 0
Step 2: incorrect.
Use Quadratic Formula to solve for roots.
x = [7 ± √(7² – 4·2(-4))] / [2·2]
= [7 ± √81] / 4
= [7 ± 9] /4
= -0.5, 4
Circle 1 has a center (−4, 5) and a radius of 6 cm. Circle 2 has (2, −3) and a radius of 9 cm. What transformations can be applied to Circle 1 to prove that the circles are similar? Enter your answers in the blanks. Enter the scale factor as a fraction in the simplest form.
The circles are similar because the transformation rule (___ , ___ ) can be applied to Circle 1 and then dilate it using a scale factor of ___/___
Answer:
The circles are similar because the transformation rule (+ 5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of 3/4.
Step-by-step explanation:
All the circles are similar.
That is because you can transform one circle onto another by two similarity operations: translation and dilation (scale factor).
For these two circles you have to translate the center of circle 1 to the center of circle 2, which will make that the two circles are concentric (have the same center).
The two centers are (-6,2) and (-1,- 4). To move the center (-6, 2) to (-1,4) you have to shift it 5 units to the right and 6 units down:
- 6 + 5 = - 1
2 - 6 = - 4.
After this translation, you dilate the circle with smaller radius using a scale factor equal to the ratio of the bigger radius to the smaller radius: 8/6 = 4/3.
Enter the scale factor as a fraction in simplest form. 3/4
The circles are similar because the transformation rule (+5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of 3/4.
Answer:
The circles are similar because the transformation rule ( [tex]x + 6, y - 8[/tex]) can be applied to Circle 1 and then dilate it using a scale factor of [tex]\frac{3}{2}[/tex]Step-by-step explanation:
just took the test down. proof down below
What percent of 29 is 99?
Answer:
29%
Step-by-step explanation:
29\99=0.29292929
x100=29.29292929
round to the nearest whole number
29%
The population of a town can be modeled by the function P= 16,512(1.03)' where t'is
the number of years after 2006. What is the significance of the value 16,512?
Answer:
The answer is C
Step-by-step explanation:
7) A container is 1/3 full of water and 1/4 full of oil. What fraction of the container is empưy?
Answer:
[tex]Empty = \frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]Water = \frac{1}{3}[/tex]
[tex]Oil = \frac{1}{4}[/tex]
Required
The fraction that is empty
The constituent of the water can be represented as:
[tex]Water + Oil + Empty = 1[/tex]
Make Empty the subject
[tex]Empty = 1 - Water - Oil[/tex]
Substitute values for Water and Oil
[tex]Empty = 1 - \frac{1}{3} - \frac{1}{4}[/tex]
Take LCM
[tex]Empty = \frac{12 - 4 - 3}{12}[/tex]
[tex]Empty = \frac{5}{12}[/tex]
A record with a diameter of 12 inches rotates at 33 revolution per minute find the angular speed of the record in radians per second
9514 1404 393
Answer:
1.1π radians/second
Step-by-step explanation:
Each revolution is 2π radians, and there are 60 seconds in a minute. The rotation rate is ...
(33 rev/min)×(2π rad/rev)×(1 min)/(60 sec) = 66π/60 rad/sec
= 1.1π rad/sec
The angular speed is 1.1π radians per second.
An initial investment of $5,000 grows at 9% per year.
Answer:
C. f(t) = 5000(1.09)^t
Step-by-step explanation:
Compound interest formula:
F = P(1 + r)^t
Answer: C. f(t) = 5000(1.09)^t
What is the value of AB?
Answer:
345
Step-by-step explanation:
A math teacher's homework grading policy states that a homework assignment turned in late will result in the
grade being reduced by a certain percentage each day that the assignment is late. The teacher creates the
table below to illustrate this policy.
Number of Days Late (1)
Homework Grade, g(t)
0
80
60
1
45
2
Based on the table, write an exponential function in the form y= abt that represents the situation.
y =
An exponential function in the form y= abt that represents the situation.
y = 60.75.
What is correlation coefficient and how to interpret it?Correlation coefficient is a measure of how similar two datasets are acting.
The range of correlation coefficient is [-1, 1]
When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated. One data increases, other data starts decreases in the opposite direction.
When the correlation coefficient comes out below 0, values are negatively correlated.
If the correlation coefficient comes out as 0, that means both the data sets are uncorrelated with respect to how we compare them.
When the correlation coefficient comes out > 0, that means both datasets' values are positively correlated.
If correlation coefficient comes out as 1, then the values grow exact similarly, in the same direction.
Given;
y = -0.4x + 98.3
When you increase your homework score by 1 point, you lose 0.4 points on your test.
-0.4x + 98.3 = 74
→ -0.4x = -24.3
→ x = 60.75 ≈ 61
Therefore, the correlation will be y=61.
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PLEASE HELP ASAP Find the true measurements (2 answers)
Answer:
(C) Because of the fact that apply for a new number
j) You spend $35. Tip is 15%. How much did you pay in total?
Answer:
You paid $40.25 in total.
Step-by-step explanation:
In this question:
Spending of 35%
Tip of 15% means that 15% of 35 will be added to your total spending. So
[tex]T = 35 + 0.15*35 = 35 + 5.25 = 40.25[/tex]
You paid $40.25 in total.
Find the perimeter and area of the triangle. Show all work.
31 yd
14 yd
28 yd
I need an answer to this problem
Four times a number is equal to three times the quantity of one more than the number. What is the number?
a. 1
b. 2
c. 3
d. 4
e. 5
Answer:
x = 3
Step-by-step explanation:
Equation: 4x = 3(1 + x)
Distribute the 3: 4x = 3 + 3x
Subtract 3x from both sides: x = 3
a.) circumference b.) radius c.) diameter 1 A circle's is the distance from its center to a point on the circle and is represented by the green line in the above picture. 7 a.) circumfrence b.) radius C.) diameter Teras Use
Answer:
The diameter is 16, The radius is 8. And I don't know what the circumference is.
Step-by-step explanation:
Given AB =6 and BD =8, find the value of x
Answer: x=10
Step-by-step explanation:
Find AD by making a 90 degree triangle with segments AB and BD
a=6 b= 8 c= c
[tex]a^{2}+b^{2} =c^{2}[/tex]
[tex]6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c[/tex]
AD is = to 10- AD is also the radius of the circle. since x is also the radius of the circle, it is also 10
Ms. Lee wants to know what kinds of things her students do prepare for her tests. Ms. Lee placed the names of her students into a box. To determine who she would ask about their study habits she asked a student to draw names from the box.
a. What is the sample in this situation?
b. What is the population?
(NOT A MULTIPLE CHOICE)
Answers:
a) The sample is the set of students Ms. Lee selects from the box.b) The population is the set of all students in Ms. Lee's classroom.=============================================
Explanation:
The first sentence tells us what the population is: it's the set of all her students. She's not concerned with any other students in any other classroom. So her "universe", so to speak, is solely focused on this classroom only. Once the population is set up, a sample of it would be a subset of the population.
If set A is a subset of set B, then everything in A is also in B, but not vice versa. For example, the set of humans is a subset of the set of mammals because all humans are mammals. However, a dog is a mammal but not a human. This shows that A is a subset of B, but not the other way around. In this example, A = humans and B = mammals.
Going back to the classroom problem, we have A = sample and B = population. If Ms. Lee has 30 students, and she randomly selects 5 of them, then those 30 students make up set B and the 5 selected make up set A. Selecting the names randomly should generate an unbiased sample. This sample should represent the population overall. If the population is small enough, the teacher could do a census and not need a sample. Though there may be scenarios that it's still effective to draw a sample.