Answer:
30 miles per gallon
Step-by-step explanation:
NEED ANSWER
45 inch board cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece . find the lengths of all three pieces
Answer:65
Step-by-step explanation:
Length of first, second and third piece are 5, 15 ,25 inch
Given that;
Length of board = 45 inch
Second cut is 3 times as long as the first piece
Third cut is 5 times as long as the first piece
Find:
Length of all three piece
Computation:
Assume;
Length of first piece = a
So,
Length of second piece = 3a
Length of third piece = 5a
So,
Length of first piece + Length of second piece + Length of third piece = Total length
a + 3a + 5a = 45
9a = 45
a = 5
So,
Length of first piece = a
Length of first piece = 5 inch
Length of second piece = 3a = 3(5)
Length of second piece = 15 inch
Length of third piece = 5a = 5(5)
Length of third piece = 25 inch
Learn more:
https://brainly.com/question/15558889?referrer=searchResults
3. The recycling center collects 343 aluminum cans in one day. How many cans will be collected in two weeks?
Answer:
4, 802 cans will be collected in two weeks
Step-by-step explanation:
343 aluminum cans = 1 day
? = 2 weeks
2 weeks = 14 days
So, 343 x 14 = 4, 802
Express as a single power in base 5.
125 x 5^19X (25)3
Answer:
im pretty sure its 3 plz tell me if im wrong im new here but i think its right
Step-by-step explanation:
In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students who do not have any siblings. What is the probability that a student chosen randomly from the class has a brother and a sister?
Answer:
32 siblings from the class theres a possibility that some students had more siblings and not everyone has one
Step-by-step explanation:
.
The probability that a student chosen randomly from the class has a brother and a sister is [tex]\frac{1}{15}[/tex].
What is probability?The chance that something will happen, or how likely it is that an event will occur.
Formula to calculate probabilityprobability of an event = [tex]\frac{number of favorable outcomes}{Total number of outcomes}[/tex]
According to the given question
we have total 30 students.
6 have a brother
12 have a sister
and 14 who don't have any siblings
If we se the provided Venn diagram
the number of students who have only sister is 10
and the number of student who have only brother is 4.
because, 6+12+14 = 32
but we have only 30 students
⇒ 2 students has a brother and a sister.
therefore,
the probability that a student chosen randomly from the class has a brother and a sister = [tex]\frac{number of students as a brother and a sister}{total number of students}[/tex]= [tex]\frac{2}{30}[/tex] =[tex]\frac{1}{15}[/tex]
Hence, the probability that the chosen student from the class has a brother and sister is [tex]\frac{1}{15}[/tex].
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
Journal; 1.8.4, geometry
2. Looking at the Consecutive Interior Angles (9 points)
Look at the diagram of the scenario below. A steep downhill ski slope is intersected at an angle by a less steep ski slope. Safety fences need to be set up in the locations shown. The angles of the fences, angles 1 and 2, can be determined by finding the relationship between the angles a and b.
Draw a geometric diagram of this scenario using two parallel lines and one transversal. (Remember that a transversal is a line which cuts across parallel lines.) Label the angles, parallel lines, and transversal as indicated in the diagram above. (2 points)
Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and b are supplementary. (5 points)
Statement Reason
Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)
3. The Exterior Angles (6 points)
The fences will be aligned with the exterior angles ∠1 and ∠2. What are some other relationships you can see between ∠1, ∠2, ∠a, and ∠b? (2 points)
Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)
What is the measure of ∠2? (2 points)
4. Reflections (2 points: 1 point each)
Can you think of any other real-life scenarios where parallel lines and transversals exist?
What are the limitations of the ski slope scenario as a real-life example?
The measurement of the angles formed between parallel lines having a common transversal are readily determined by the relationship between the angles
The measures of the angles in the figures are as follows;
2. The required two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠1 and ∠a are linear pair angles [tex]{}[/tex] Given
∠1 + ∠a = 180° [tex]{}[/tex] Linear pair ∠s are supplementary
∠2 and ∠b are linear pair angles [tex]{}[/tex] Given
∠2 + ∠b = 180° Linear pair ∠s are supplementary
∠a and ∠b are consecutive interior ∠s [tex]{}[/tex] Definition
x║y [tex]{}[/tex] Given
∠1 and ∠b are corresponding angles [tex]{}[/tex] Definition
∠1 ≅ ∠b [tex]{}[/tex] Corr. ∠s formed between║ lines
∠1 = ∠b [tex]{}[/tex] Definition of congruency
∠a + ∠b = 180° Substitution property
∠a and ∠b are supplementary [tex]{}[/tex] Definition
The information obtained from the proof is that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal, and therefore, the the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. Which gives that ∠a and ∠b are supplementary angles. Therefore
If the measure of one of the angles ∠a or ∠b is known, the other angle is given by subtracting the known angle from 180°3. Some of the other relationships between ∠1, ∠2, ∠a, and ∠b, are;
∠1 and ∠b are corresponding angles, therefore, ∠1 ≅ ∠b, by corresponding angles formed between parallel lines∠2 and ∠a are corresponding angles, therefore, ∠2 ≅ ∠a, by corresponding angles formed between parallel lines ∠1 and ∠2 are same side exterior angles and they are therefore supplementary. ∠1 + ∠2 = 180°The relationship that will be most helpful in figuring the measurement of the safety fences is the relationship between ∠1 and ∠2; ∠1 + ∠2 = 180°The measure of ∠2 = 180° - ∠1
4. A real-life scenario where parallel lines and transversal exist are the handrail and baluster on railings of staircases
The limitations of the Ski slope scenario are;
The direction of the trail of the skier are usually along or parallel to the slopeThe slope is wide and usually lacks obstruction, and therefore, has few transversalsThe ski slope is usually located away from or follows a different direction from other ski slopesLearn more about parallel lines having a common transversal here:
https://brainly.com/question/2188951
c. Explain what the result of your proof tells you about angles a and b.
Specifically, if you measured one angle, what would you know about the
other? (2 points)
Simplify (8.3) 2.10.(6-1)
Answer:
[tex]8 .3 \times 2.10.5[/tex]
Step-by-step explanation:
Simplify 6 - 1 to 5.
[tex]8.3 \times 2.10 .5[/tex]
Therefor, the answer is 8.3 × 2.10.5
The sum of two trinomials is 4x3 + 3x
Answer:
it is 12+3x your welcome
The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is written as 3x³ + 3x.
Let's assume the two trinomials are A and B. We are given that the sum of these two trinomials is equal to 4x³ + 3x. Mathematically, we can represent this as:
A + B = 4x³ + 3x
Now, we are also given one of the trinomials, which is x³ + 2, and we need to find the other trinomial (B).
To find B, we need to isolate it on one side of the equation. Let's rearrange the equation:
B = 4x³ + 3x - A
Now, we need to determine the value of A. We can do this by comparing the given trinomial with the general form of a trinomial, which is ax³ + bx^2 + cx.
From the given trinomial x³ + 2, we can identify that a = 1 (coefficient of x³) and b = 0 (coefficient of x²), since there is no x² term. The coefficient of x is c = 0 (since 3x = 3x¹, there is no constant term in this expression).
Now, we can write A in terms of its coefficients:
A = 1x³ + 0x² + 0x
A = x³
Now, we can substitute the value of A back into the equation for B:
B = 4x³ + 3x - x³
B = 3x³ + 3x
So, the other trinomial (B) is 3x³ + 3x.
To know more about trinomial here
https://brainly.com/question/11379135
#SPJ2
Complete Question:
The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is
The total area of the parallelogram and the triangle is 160 square meters. Find
the value of x.
Answer:
acc to ques ...total area=160=area of parallelogram + area of triangle
b×h +1/2×b×h=160
14×10+5x=160.....(let base of triangle =b=x)
5x=20
x=4......
Write down the x-coordinate of the point where y=x2-x and y=x+1 cross
Please someone help me I don’t understand
Answer:
Step-by-step explanation:
Remark
The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.
Solution
<x = 1/2 (arc measure of 116 + 74)
<x = 1/2 (190)
<x = 95
AC = 4 miles, BE = 3 miles and FD = 2 miles What is the area of this quadrilateral?
Answer:
Step-by-step explanation:
5s + 7s????????????????
Answer:
12s
Step-by-step explanation:
5s + 7s = (5 + 7) s= 12s
This is your answer
what is -7 – 4 – (-6)
Answer:
-5
Step-by-step explanation:
Answer:
-7 - 4 -(-6)
-7 + - 4 - (-6)
-11 - (-6)
-11 + 6 = -5
Step-by-step explanation:
When looking at -7- 4, you can use the KCC rule, Keep, Change, Change. -7 would stay the same, but - would turn into a + and so would 4 to -4.
Now, -7 + - 4 would equal to -11. And bring down the -(-6).
When you look at two negative signs the become a positive sign, so it would now be +6.
Now, you subtract because 11 is the bigger number and you have to take it's sign, which is negative to the answer.
Therefore, your answer is -5. Hope this helps
6/12 + 6/24 + 1/4 =
I don't rember how to do this
Answer:
1
Step-by-step explanation:
6/12=1/2
6/24=1/4
1/2+1/4+1/4=1/2+2/4=2/4+2/4=4/4=1
Answer:
answer is 1
you divide and add them.
PEMDAS
Solve for x: three halves plus one half times x equals two x
x equals two thirds
x = 1
x = 2
x = 3
Answer:
b) x = 1
Step-by-step explanation:
Given statement,
→ three halves plus one half times x is equals two x.
Forming the equation,
→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x
Now the value of x will be,
→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x
→ (1 + 1 + 1)/2 = 2x - (1/2)x
→ 3/2 = ((4 - 1)/2)x
→ 3/2 = (3/2)x
→ (3/2)x = 3/2
→ x = (3/2) × (2/3)
→ x = (3 × 2)/(2 × 3)
→ x = 6/6
→ [ x = 1 ]
Hence, the value of x is 1.
(2x + y) (2x + 2y) =
Answer: 4x^2 + 6xy + 2y^2
Step-by-step explanation:
(2x + y)(2x + 2y) =
2x*2x + 2x*2y + y*2x + y^2y =
4x^2 + 4xy + 2xy + 2y^2 =
4x^2 + 6xy + 2y^2
Answer:
4x² + 6xy + 2y²
Step-by-step explanation:
Given
(2x + y)(2x + 2y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 2y) + y(2x + 2y) ← distribute both parenthesis
= 4x² + 4xy + 2xy + 2y² ← collect like terms
= 4x² + 6xy + 2y²
Collin is building a deck on the back of his family's house. He has enough lumber for the deck to be 75
square feet. The length should be 10 feet more than its width. The situation can be represented by w2
+ 10w - 75 = 0. What should the width of the deck be?
A. 15
B. -5
C. -15
D. 5
Answer:
A. 15
Step-by-step explanation:
Which of the following pitchers account for a total of 40% of the strikeouts?
Answer:
yu and justin
Step-by-step explanation:
please can anyone help? its due in 5 mins
Answer:
91.08
Step-by-step explanation:
To find diameter, divide the circumference by pi or 3.14
286/3.14 = 91.0828025
Round to nearest hundredth
I'm a quadrilateral with only 1 pair of parallel sides. Which shape am I?
answer:
haha my teacher saw my screen ( since im in-school ) and he said that you were a trapezoid
i would have answered this question in more detail but i didnt know how to, hope this help tho! :)
Distribute and simplify these radicals. 23-(V+ 3) O 2V5 + 6 02/15 O 30 O 6/2+6
Answer:
A)
Step-by-step explanation:
The area of a rectangle is 27 it?, and the length of the rectangle is 3 ft less than twice the width. Find the dimensions of the
rectangle
Round 188,206 to the nearest thousand
??? Answers please.....
Select the end behavior of the exponential function shown in the graph
Answer:
The x graph
Step-by-step explanation:
The x graph
Answer: D
Step-by-step explanation:
Find the slope of the line of best fit shown in the figure
Answer:
Slope of the line of best fit = -0.34868
Step-by-step explanation:
From the figure attached,
Coordinates of the points lying on the given line are (2, 3), (2, 5), (2, 6), (3, 5), (4, 3), (5, 4) and (7, 3)
By using the linear regression calculator,
Equation of the line of best fit → y = -0.34868x + 5.38816
Comparing this equation with, y = mx + b
Slope of the line of best fit → m = -0.34868
can anyone help on this question?
Answer:
volume = 262.14 yd³
Step-by-step explanation:
volume = 6.4³ = 6.4 x 6.4 x 6.4 = 262.14 yd³
Answer:262.144
Step-by-step explanation:you will have to round it.
Can someone plz help me with this!!!
Answer:
11.5
Step-by-step explanation:
-1*-11.5=11.5
uv= u times v
-1 times -11.5 equals 11.5
In the morning, an outdoor thermometer shows a temperature of -8°C. Later that afternoon, the temperature drops an additional 4°C. What is the temperature in the afternoon?
Answer:
- 12°C
Step-by-step explanation:
Given :
Temperature in the morning = - 8°C
In the afternoon, temperature drops an additional 4°C
A temperature drop mean a reduction in the initial temperature :
Afternoon temperature = morning temperature - 4°C
Afternoon temperature = - 8°C - 4
After oon temperature = - 12°C
Help Me, Now! A. What equation represents the amount of money in Kade's account as a function of weeks passed?
Answer:
Step-by-step explanation: