Answer:
This is why [tex]\frac{1}{14}[/tex] x 42 = 3
Step-by-step explanation:
[tex]\frac{1}{14}[/tex] x 42 can also be written as [tex]\frac{1}{14}[/tex] x [tex]\frac{42}{1}[/tex]
we can reduce diagonally by 7 so [tex]\frac{1}{14}[/tex] x [tex]\frac{42}{1}[/tex] = [tex]\frac{1}{2}[/tex] x [tex]\frac{6}{1}[/tex]
now we multiply across [tex]\frac{1}{2}[/tex] x [tex]\frac{6}{1}[/tex] = [tex]\frac{6}{2}[/tex]
6 divided by two or [tex]\frac{6}{2}[/tex] = [tex]\frac{3}{1}[/tex] or 3
Which statement about triangles is true?
A. A triangle can have 2 acute angles.
B. A right triangle can have 2 right angles.
C. An obtuse triangle can have 2 obtuse angles.
D. A triangle can have 1 right angle and 1 obtuse angle.
Answer:
[tex] \fbox{A triangle can have 2 acute angles.}[/tex]
Step-by-step explanation:
Acute angle : The angle whose measure is less than 90° is called actute angle.
Obtuse angle : The angle whose measure is more than 90° is called obtuse angle.
Right angle : The angle whose measure is exact 90° is called right angle.
Property of triangle: The measure of all three angles of a triangle is 180°.
let's solve the actual question now,
Option A - let a triangle have two acute angle x and y respectively and z third angle of the respective triangle,
x + y + z = 180°
(<90°) + (<90°) + z = 180°
z = 180 - (<180)
z <180
the measure of 3rd angle z will be less than 180,
hence a triangle can have 2 acute angles.
Option B - let a right angle triangle have two right angles x and y respectively and z third angle of the respective triangle,
x+y+z = 180
90+90+z = 180
z = 180-180 = 0°
which means the third angle z does not exist and it is not a triangle. Hence a right angle triangle can only have one right angle.
Option C - let a triangle have two obtuse angle x and y respectively and z third angle of the respective triangle,
x + y + z = 180°
(>90°) + (>90°) + z = 180°
z = 180 - (>180)
when one number is subtracted from another number which is greater than that then the result obtain is negative. So the value of third angle z will be negative which is a flaw. Hence third option is also incorrect.
Option D - let a triangle have one right angle and one obtuse angle x and y respectively and z third angle of the respective triangle,
x + y + z = 180°
(90°) + (>90°) + z = 180°
z = 180 - (>180)
Same as option C, the third angle is negative which is a flaw and this option is incorrect too.
Conclusion- A triangle can have 2 acute angles and one right angle. So option A is the correct match.
[tex]\sf \small \pink{Thanks }\: \green{for} \: \blue{joining} \: \orange{brainly } \: \red{community}![/tex]
Out of 400 students in 6 grade, 256 passed. What percent of the students passed the test?
An experiment involving learning in animals requires placing white mice and rabbits
into separate, controlled environments, the environment I and environment II.
The maximum amount of time available in the environment I is 500 minutes, and the maximum
amount of time available in environment II is 600 minutes.
The white mice must spend 10 minutes in environment I and 25 minutes in environment II, and
the rabbits must spend 15 minutes in environment I and 15 minutes in environment II. Identify which set of constraints and objective function is correct? x=white mice and y=rabbits
Answer:
Kk Kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Following are the calculation to the given question:
Suppose x represents a number of white mice while y denotes the number of bunnies.10 minutes is the time needed by mice in habitat 1.15 minutes is indeed the time required by the rabbit in habitat 1.Overall time needed [tex]= 10x + 15y[/tex]In environment 1, the maximum allowed time is 500 minutes.[tex]\bold{10 x +15y \leq 500}[/tex]
Likewise,
Mice need 25 minutes in environment 2 to complete their tasks.15 minutes is indeed the time taken by a rabbit in environment 2.Overall time needed [tex]= 25x + 15y[/tex]In environment 2, the maximum amount of time accessible is 600 minutes.Hence, the answer is " [tex]\bold{25x +15y \leq 600}[/tex]".
Learn more:
brainly.com/question/16608390
The volume of 10 drops of a liquid is 0.1 fluid ounces.
What is the volume of 10,000 drops?
Answer:
1000
Step-by-step explanation:
10 = 0.1
10,000=?
cross multiply
(10,000 *1 )/10
=1000
the variables x and y are related proportionally when x = 6, y =14. find y when x= 60.
which question can be answered by finding 3 1/2÷1/4?
Answer: 14
Step-by-step explanation:
3 1/2÷1/4=
3 1/2*4= ==> dividing by fractions is basically multiplying by the reciprocals of the fraction
(3+1/2)*4=
3*4+1/2 * 4=
12+2=14
Answer:
3 1/2÷1/4 = 14
Step-by-step explanation:
Divide 3 x 2 + 1 / 1 by 1 / 4 by multiplying 3 x 2 + 1 / 1 by the reciprocal of 1/4
Multiply 3 and 2 to get 6
Add 6 and 1 to get 7
Multiply 7 and 4 to get 28
Divide 28 by 2 to get 14
answer = 14
Barry's gross pay per pay period is 315.27 he has the following deductions:Social security tax 5.2% medicare tax 1.35% federal withholding tax $89.22.What is the total tax amount for this pay period
Answer:
410.77
Step-by-step explanation:
Hope this helps
7x+8y=18 Find the equation of the line which passes through the point (1,−13) and is parallel to the given line. Express your answer in slope-intercept form. Simplify your answer.
Answer:
y = -7/8x - 97/8
or 8y + 7x = -97
Step-by-step explanation:
7x + 8y = 18
=> 8y = -7x + 18
y = -7/8 + 18/8
If two lines are parallel, their slopes are equal. So slope is -7/8
given m = -7/8, y = -13, x = 1
y = mx + b
-13 = -7/8(1) + b
-13 = -7/8 + b
b = -13 + 7/8 = -104/8 + 7/8 = -97/8
so y = -7/8x - 97/8
=> 8y = -7x - 97
8y + 7x = -97
Write an equation for each line (L,P ,N,M)
Answer:
LP = NM
Step-by-step explanation:
Answer:
Please post the graph with the line!
Refer to the stock options on Microsoft in the Figure 2.10. Suppose you buy a November expiration call option on 100 shares with the excise price of $140.
Required:
a-1. If the stock price at option expiration is $144, will you exercise your call?
multiple choice 1
Yes
No
a-2. What is the net profit/loss on your position? (Input the amount as a positive value.)
a-3. What is the rate of return on your position? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
b-1. Would you exercise the call if you had bought the November call with the exercise price $135?
multiple choice 2
Yes
No
b-2. What is the net profit/loss on your position? (Input the amount as a positive value.)
b-3. What is the rate of return on your position? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
c-1. What if you had bought the November put with exercise price $140 instead? Would you exercise the put at a stock price of $140?
multiple choice 3
Yes
No
c-2. What is the rate of return on your position? (Negative value should be indicated by a minus sign.)
What is the product a/b x b/c x c/d x d/e of none of the values are equal to 0?
Multiplying the numerator and denominators,
[tex]\frac{abcd}{bcde}=\boxed{a/e}[/tex]
The store is selling lemons at $0.66 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?
Answer:
$7.92
Step-by-step explanation:
The weights of a certain dog breed are approximately normally distributed with a mean of = 49 pounds, and a standard deviation of = 6 pounds.
a. A dog of this breed weighs 54 pounds. What is the dog's z-score? Round your answer
to the nearest hundredth as needed.
b. A dog has a z-score of 0.94. What is the dog's weight? Round your answer to the
nearest tenth as needed.
c. A dog has a z-score of -0.94. What is the dog's weight? Round your answer to the
nearest tenth as needed
Answer:
A
Step-by-step explanation:
hoped it worked
WILL MARK BRAINLYEST
What is the equation in point-slope form of the line that passes through the points (7, 5) and (-4, – 1)?
Answer:
y - 5 = 6(x - 7)
Step-by-step explanation:
yes
Answer:
[tex]y+1=\frac{6}{11}(x+4)[/tex]
The image below shows proof that the point-slope equation [tex]y+1=\frac{6}{11}(x+4)[/tex] is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)
Hope this helps! :)
Composite functions.
Answer:
2
Step-by-step explanation:
good right solve and rate my answer
2/3(1 + n) = -1/2 What is the value of n
will mark brainliest
Answer:
n = -1.75
As a fraction = -7/4
Step-by-step explanation:
How do you find rate?
Answer:
Rate is distance over time
Step-by-step explanation:
Help pls for a grade
For a biology assignment, Melanie records the height of a plant over time.
The plant was 14 cm tall when she started the assignment. She notices that
the plant grows 7 cm every week.
Answer:
B (2,28)
Step-by-step explanation:
The real numbers x and y satisfy the equations:
xy - x = 180 and y + xy = 208.
Let the two solutions be (x1, y1 and (x2, y2).
What is the value of x1 + 10y1 + x2 + 10y2
Answer:
The value of [tex]f = x_{1}+10\cdot y_{1}+x_{2}+10\cdot y_{2}[/tex] is 317.
Step-by-step explanation:
Let the system of nonlinear equations be:
[tex]x\cdot (y-1) = 180[/tex] (1)
[tex]y\cdot (1+x) = 208[/tex] (2)
From (1), we clear [tex]x[/tex]:
[tex]x = \frac{180}{y-1}[/tex]
Let apply this resulting expression in (2):
[tex]y\cdot \left(1+\frac{180}{y-1} \right)= 208[/tex]
[tex]y\cdot \left(\frac{y-1+180}{y-1} \right) = 208[/tex]
[tex]y\cdot \left(\frac{y+179}{y-1} \right)=208[/tex]
[tex]y\cdot (y+179) = 208\cdot (y-1)[/tex]
[tex]y^{2}+179\cdot y = 208\cdot y-208[/tex]
[tex]y^{2}-29\cdot y+208 = 0[/tex]
By the Quadratic Formula we obtain the solution of the second order polynomial:
[tex]y_{1} = 16[/tex] and [tex]y_{2} = 13[/tex]
And the respective values of [tex]x[/tex] are, respectively:
[tex]y_{1} = 16[/tex]
[tex]x_{1} = \frac{180}{y_{1}-1}[/tex]
[tex]x_{1} = \frac{180}{15}[/tex]
[tex]x_{1} = 12[/tex]
[tex]y_{2} = 13[/tex]
[tex]x_{2} = \frac{180}{y_{2}-1}[/tex]
[tex]x_{2} = \frac{180}{12}[/tex]
[tex]x_{2} = 15[/tex]
If we know that [tex]x_{1} = 12[/tex], [tex]y_{1} = 16[/tex], [tex]x_{2} = 15[/tex] and [tex]y_{2} = 13[/tex], then the value of [tex]f = x_{1}+10\cdot y_{1}+x_{2}+10\cdot y_{2}[/tex] is:
[tex]f = 12+10\cdot (16)+15+10\cdot (13)[/tex]
[tex]f = 317[/tex]
The value of [tex]f = x_{1}+10\cdot y_{1}+x_{2}+10\cdot y_{2}[/tex] is 317.
A board is 3.5 m long. Four pieces, each.4 m long, are cut off. How much is left?
Answer:
1.9 m
Step-by-step explanation:
3.5 - (4*0.4)
3.5 - 1.6 = 1.9
HELP ITS FOR A GRADE DUE TODAY ILL GIVE 10 POINTS PLSSS BRAINLEST
Laurianne and bea learning to type on a computer keyboard warriors typing speed is represented by the equation Y equals 9X where why is the number of words she types and X is the number of minutes Beas typing speed is given by the graph
Answer:
C
Step-by-step explanation:
Lorraine is typing at 8 words per minute, while Bea is doing 9 per minute
Answer: B : Lorraine’s unit rate is 1 more word per minute than Bea’s unit rate.
Step-by-step explanation:
I took the test, B) it said It was correct
How do you write 14.5 in scientific Notation?
Answer:
1.45 x 10 exponent 1
Step-by-step explanation:
Dillon made $27 in interest by placing $300 in a savings account with simple interest for 1
year. What was the interest rate?
Use the formula 1 = prt, where I is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years,
%
Answer:
59% or 59
Step-by-step explanation:
The quadrilaterals ABCD and JKLM are similar.
Find the length x of MJ.
D
M
2.8
L
2.1
K
2.1
J
B
3
А
PLS HELP ME
Answer:
x=3.5
Step-by-step explanation:
2.8/4=x/5
cross multiply
2.8(5)=4x
14=4x
x=14÷4
x=3.5
Supriya invested $14,320 in a highly rated ETF. At the end of four years, she had $18,434. What was her annual effective yield on this investment? Enter your answer as a percent rounded to four decimal places.
Answer:
6.517%
Step-by-step explanation:
This is a multi-year investment and we are not working with a $1 initial investment. There is no mention of compounding so we will use formula A=P0⋅(1+r)N with A=$18,434 and P0=$14,320. We do not know the value of r. However, N=4 years. Substituting the values we have $18,434=$14,320⋅(1+r)4. Divide both sides of the equation by $14,320. Next, take the fourth root of both sides of the equation and subtract 1 to find the decimal form of r.
$18,4341.287291.065170.06517=$14,320⋅(1+r)4=(1+r)4=1+r=r
Finally, convert r to a percent.
r=0.06517×100%=6.517%
Answer:
Step-by-step explanation:
Solve using substitution.
X = -1
-8x + y = 14
Submit
I GIVE BRAINLILEST
Sidney's office recycled a total of 32 kilograms of paper over 4 weeks. After 12 weeks, how many kilograms of paper will Sidney's office have recycled? Assume the relationship is directly proportional.
Answer:
96 kilograms
Step-by-step explanation:
32x3=96 just trust me I don'T know how to explain
True or false. The following are equivalent statements
Answer:
im pretty sure its false
Step-by-step explanation:
find the value of x
a. 68
b. 44
c. 56
d. 22
Answer: x=68° because this triangle is a isoscele triangle which means that it haves 2 sides that are congruent and equivalent which means they have the same value and sides and are Congruent just means In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
The value of angle [x] is equivalent to 44°.
What is Parallelogram? What is triangle? What is a expression? What is a mathematical equation?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as - equilateral triangle , scalene triangle , isosceles triangle etc.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.We have a triangle as shown.
We know, the angles opposite to equal sides are equal.
So, we can write -
x + 68° + 68° = 180°
x = 180° - (136°)
x = 44°
Therefore, the value of angle [x] is equivalent to 44°.
To solve more questions on 2 -D figures, visit the link below-
brainly.com/question/25950519
#SPJ2
Divide.
160 ÷ 31 =
remainder
Stuck? Review related articles/videos or use a hint