Answers
Answer:
B) 28 inches.
Step-by-step explanation:
After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.
And we want to find the length of the shorter ribbon from the two remaining pieces.
We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:
[tex]\displaystyle \frac{1}{8}L=9[/tex]
Where L represents the total length of the ribbon.
Solve for the total length:
[tex]\displaystyle L=72\text{ inches}[/tex]
So, the original length of the ribbon was 72 inches.
Since we threw away 9 inches of it, we now only have 63 inches.
This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:
[tex](4x)+(5x)=63[/tex]
Solve for x:
[tex]9x=63\Rightarrow x=7[/tex]
Hence, the two remaining ribbons measure 28 inches and 35 inches.
Therefore, our answer is B.
Related Questions
Which of the following is the solution to the inequality below? 5x - 6 [tex]\leq[/tex] 14
A) x [tex]\leq[/tex] - 4/5
B) x [tex]\geq[/tex] 4
C) x [tex]\geq[/tex] - 4/5
D) x [tex]\leq[/tex] 4
Answers
Answer:
D. x [tex]\leq[/tex] 4
Step-by-step explanation:
1. You add 6 to each side
2. Divide each side by 5 to isolate x
Answer:
answer is A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
The sum of twice a number and 13 is 47. Find the number.
Answers
Answer: 17
Step-by-step explanation:
In this problem, the phrase "a number" can be interpreted as a variable. In this case, let the variable be "x."
Thus, "twice a number" = "2x"
"and 13" = "+ 13"
"is 47" = "= 47"
Thus, the problem is simply 2x + 13 = 47.
Then, simply subtract 13 from both sides to get 2x = 34.
Then, simply divide both sides by 2 to get x = 17.
Because "the number" is "x," the number is 17.
Hope it helps :) <3 and lmk if you need more help
17
Step-by-step explanation:
you represent the unknown by a variable
for example X
2x +13=47
Leon used the number line below to show -5 + 4. explain what is wrong with his model.
Answers
Step by step:
Hope that help a little I guess.
Plz help, asap!!
This is a triangular prism
perimeter of the base is:
Height is:
Base area is:
Volume is:
Surface area is:
Answers
Answer:
Perimeter of base: 50 cm
Height: 30 cm
Base area: 60 cm
Volume: 21,600 cm
Surface area: I am sorry I forget how to do surface area, but I hope everything else helps.
Step-by-step explanation:
perimeter of base: 50 cm
13+13=26+24=50
Height: 30 cm
already shows height.
Base area: 60 cm
1) 24/2=12 2) 5*12=60
Volume: 21,600 cm
Length*Base*height/2=24*60*30=43,200/2=21,600
surface area:
Sorry I forget how to do surface area.
Answer:
Perimeter of base: 50 cm
Height: 30 cm
Base area: 60 cm
Volume: 21,600 cm
Surface area: I am sorry I forget how to do surface area, but I hope everything else helps.
Step-by-step explanation:
perimeter of base: 50 cm
13+13=26+24=50
Height: 30 cm
already shows height.
Base area: 60 cm
1) 24/2=12 2) 5*12=60
Volume: 21,600 cm
Length*Base*height/2=24*60*30=43,200/2=21,600
Hello! Please help ASAP!!!
Turn this problem into a Pythagorean Theorem diagram
DRAW A DIAGRAM!! I ONLY NEED THE DIAGRAM
Aleena’s car is 7 miles north from Starbucks. Aryona’s car is located 4 miles west from Aleena. How far is Aryona from the Starbucks.
Answers
Answer:
So put the car at a dot at (0,7)
Aleena is at (4,7)
the starbucks is at (0,0)
Hope This Helps!!!
What is 27/40 as a decimal? Explain how you got your answer.
Answers
We divide now 27 by 40 what we write down as 27/40 and we get 0.675
Fraction are basically division. When dividing the numerator by the denominator, you get the quotient
Marcus was training for a 2,000 meter race. He had to alternate between running and walking.
Problem
If Marcus ran 1,600 meters, which statement is true?
Answers
Answer:
if marcus ran 1,600 meters that means he walked 400 meters
Step-by-step explanation:
In which line is an error first made when solving the equation below? -18 = 19z -9
Line One = z -9
Line Two = 11 = z
Line Three = z = 11
* Choose one of the following, A, B, C, D.*
A) no mistake was made
B) line 3
C) line 2
D) line 1
Answers
Correct answers only!
After conducting a survey of all her classmates Midge discovers that the amount of money everyone spends buying books each month has a mean of $30. What does the mean say about the amount of classmates spend on books?
Half of her classmates spent exactly $30 per month buying books.
Half of your classmates spent more than $30 per month buying books.
The majority of her classmates spent $30 per month buying books.
If the amount spent on books per month by all her the classmates is leveled, the amount will be $30.
Answers
Answer:
C: The majority of her classmates spent $30 per month buying books.
Step-by-step explanation:
The mean is the average of the numbers -> its C
Answer:
C
Step-by-step explanation:
Choose all the factors of 5. (Check all that apply.)
1
3
5
2
4
Answers
Answer:
5 and 1
Step-by-step explanation:
5 = 5 * 1
1 - 5
5. - 1
(08.05)The box plot shows the number of years during which 24 colleges have participated in a local college fair:
Years of Participation
0
10
5
Years
At least how many schools have participated for 2 years or fewer?
2schools
4schools
6schools
7 schools
Answers
find the first four terms and the tenth term
a) 3n^2
Answers
Step-by-step explanation:
3n^2
First term => n=1 => 3(1)^2 =>3
Second term => n=2 => 3(2)^2 =>3x4=12
Third term => n=3 => 3(3)^2 =>3x9=27
Fourth term => n=4 => 3(4)^2 =>3x16=48
Tenth term => n=10 => 3(1)^2 =>3x10=300
Answer:
{3, 12, 27, 48, 300}
Step-by-step explanation:
For the first four terms, n = {1, 2, 3, 4}. For the tenth, n = {10}.
Then, applying the formula a(n) = 3n^2 to n = {1, 2, 3, 4, 10}, we get:
{3(1)², 3(2)², 3(3)², 3(4)², 3(10)²} = {3, 12, 27, 48, 300}
In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
A) 2
B) 5
C) 20
D) 80
Answers
Answer:
Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. What characteristic of the data will imply an association between the two v
Step-by-step explanation:
Because well the 20% of 100 is 20
Is the triangle obtuse, acute, equilateral or right?
Answers
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
PLEASE HELP Which of the following statements correctly describes the counting principle?
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
The counting principle lets you subtract the number of options per category to find the total number of possible outcomes.
The counting principle lets you divide the number of options per category to find the total number of possible outcomes.
The counting principle lets you add the number of options per category to find the total number of possible outcomes.
Answers
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
Use the drop-down menus to complete each equation so the statement about its solution is true.
Answers
Answer:
7x+5
Step-by-step explanation:
2x+5+2x+3x
=2x+2x+3x+5
=7x+5
Help pls, can you solve for x?
Answers
Answer:
X=1.5, but I may be incorrect, hope this helps!
Step-by-step explanation:
FACTS I KNOW:
X has to be less than 2 but greater than 1
Angle B and D are 90 degrees
The complete bottom side is equal to 10
All triangle angles add up to 180 degrees
All angles in rectangles and squares are 90 degrees
All rectangles have 2 sets of 2 of the same sides.
If you take a piece of the top right you could make a rectangle
It would take about .5 of the 2
Therefore X=1.5 approximately, but I may be wrong.
X=1.5 this is not correct dont mind me pls
State if is they are functions or not by filling in the blanks yes or no.
Answers
For a function, each x term must correspond to exactly one y term. We can use the vertical line test to determine whether or not that holds true for the following 6 graphs. If each x term corresponds to exactly one y term, then any vertical line that we draw on the graph should hit the graph at only one point.
1. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
2. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
3. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
4. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
5. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
6. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
Answer:
yeah the other person is correct
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
1/42
Step-by-step explanation:
4/7 - 23/42 = 24/42 - 23/42 = 1/42
I need help with this question. Question in image.
Show working out to answer
Answers
Answer:
Step-by-step explanation:
38
After that do 30x70 so number of students times the 70% mean which gives 2100.
Now take the 2100 - 1240 = 860.
After that 860/10 = 86%
20 boys get 62 and 10 girls get 86 this all will equal to 2100.....2100/30 = 70
So the final answer is 86%
What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle
Answers
Answer:
Step-by-step explanation:
abd
simplify
(x^a.x^b)^a-b*(x^b.x^c)^b-c*(x^c.x^a)^c-a
step by step..
Answers
Answer:
= x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)
Answer:
x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)
Hope it helped!
if 29 cos 0=21 find the value of 1/sin0-tan0..
Answers
Answer:
Middle School mathematics still murky?
Clear things up with an instant 1 on 1 tutoring sesh
6th grade math
(–27) ÷ (–9 ÷ 1/9)
Answers
[tex]\displaystyle\ \boldsymbol{(-27)\div(-9\div\frac{1}{9})=-27\div(-9\cdot9)=} \\\\\boldsymbol{-27\div-81=\boxed{\frac{1}{3}} }}[/tex]
ple heeeeelp TT eeeee
Answers
Answer:
you're right it is ASA
Step-by-step explanation:
the angles that correspond are both next to one side
Answer:
Angle R= Angle V (given)
Angle Q = Angle T (given)
RQ = VT (given)
Therefore ∆PQR is congruent to ∆UTV
NO LINKS
A small pot holds 75% as much as a large pot.
If a small pot holds 36 units, how much does the large pot hold?
Answers
Answer:
63 units!!
Step-by-step explanation:
36x.75= 27
Add 27 to 36 to get the large pot.
Answer:
The large pot can hold 48 units of water.
Step-by-step explanation:
small pot holds 75% water of a large pot
small pot holds 36 units
let x be quantity of water in large pot
According to the question,
75% of x = 36 units
75/100 * x= 36
75x/100= 36
75x= 36*100
75x= 3600
x= 3600/75
x= 48 units
The large pot can hold 48 units of water.
Please mark me as brainliest.
please help thank you!!!
Answers
Answer:
y = -180 + 3x
Step-by-step explanation:
Because AB = AC -> ABC is a isosceles triangle -> B = C
Because AB = BD -> ABD is an isosceles triangle -> A = D -> x = D
We have ADB + ADC = 180 -> x + ADC = 180 -> ADC = 180 - x (1)
We have x = D, and BAD + ADB + ABD = 180 -> ABD = 180 - 2x but B = C -> C = 180 - 2x (2)
With (1) and (2) We have DAC + ACD + ADC = 180
-> y + 180 -2x + 180 -x = 180
-> y + 360 - 3x = 180
-> y = -180 + 3x
Answer:
y=3x-180
Step-by-step explanation:
Above working is my step by step solution. Thank you.
Drag each tile to the correct box.
Find the decreasing functions and arrange them in order from least to greatest y-intercept.
y = 2.5x + 10
y = -0.5x + 0.5
y = -4.5x + 3
y = -0.5x − 5
y = -2x + 7
y = -5x − 12
↓
↓
↓
↓
Answers
y = -5x - 12
y = -0.5x - 5
y = -0.5x + 0.5
y = -4.5x + 3
y = -2x + 7
y = 2.5x + 10
Answer:
from least to greatest y-int
y = -5x - 12
y = -0.5x - 5
y = -0.5x + 0.5
y = -4.5x + 3
y = -2x + 7
y = 2.5x + 10
Step-by-step explanation:
PLEASE HELP FAST, I CANT GET IT WRONG
Answers
Answer: I think it is 12 divided by 7
Please Help!!
A) vertical angles
B) complementary angles
C) supplementary angles
D) none of the above