Answer:
26 and 26
Step-by-step explanation:
Let's call the two numbers x and 52-x.
Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.
The cost to rent a moving truck is a flat fee of $25 plus $0. 60 per mile. The equation c = 25 0. 6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. Identify the independent and dependent variables. The is the independent variable. The is the dependent variable.
Answer:
Independent variable = m
dependent variable = c
Step-by-step explanation:
c = 25 + 0.6m
where,
m = number of miles
c = total cost of rent
what is the answer help
Answer:
$29.88
Step-by-step explanation:
$12.45 / 5
$2.95 each pound
2.95 * 12
29.88
Please answer
convert decimal divison expressions to fractional division expressions to create whole number divisions.
1. 35.7 ÷ 0.07
2. 486.12 ÷ 0.6
3. 3.43 ÷ 0.035
4. 5,418.54 ÷ 0.009
5. 812.5 ÷ 1.25
6. 17.343 ÷ 36.9
Will give brainliest to best answer!!
Step-by-step explanation:
1. 35.7/0.07=510
2. 486.12/0.6=810.2 approximately 810
3. 3.43/0.035=98
4. 5418.54/0.009=602,060
5. 812.5/1.25=650
6. 17.343/36.9=0.47 approximately 1
Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D
Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is the Triangle Sum Theorem?The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.
Given that y || z:
∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:
∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)
m∠LAM = 180° (def. of straight line angle)
Thus, using the angles addition theorem, we have:
∠1 + ∠2 + ∠3 = m∠LAM
∠1 + ∠2 + ∠3 = 180° (eqn. 2).
Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.
∠5 + ∠2 + ∠6 = 180° (substitution).
Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about triangle sum theorem on:
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The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is Angle Sum Property?According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.
We have, y || z.
So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6 (Alternate Interior Angle)
Using Linear Pair
∠1 + ∠2 + ∠3 = m ∠LAM
∠1 + ∠2 + ∠3 = 180°
Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation
∠5 + ∠2 + ∠6 = 180° .
Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about Angle Sum Property here:
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Angles on a line add up to 180. So what is x?
Answer:
x=121
Step-by-step explanation:
360_304=56180_115=6565+56=121x=121Answer:
x = 121°
Step-by-step explanation:
180 - 115 = 65°
The angle beside 115° is 65°.
A full circle is 360° so
360 - 304 = 56°
Add the two angles
65 + 56 = 121°
Subtract it to 180° to find the other angle
180 - 121 = 59°
Now subtract again to 180° to find the angle in the other side
180 - 59 = 121°
A scale drawing of triangle ABC has side lengths of 2 centimeters (cm), 4.8 cm, and 5.2 cm. The scale drawing was drawn using the scale of 1 cm=4 inches.
Raquel creates a different scale drawing of the original triangle ABC with the scale factor 116.
What are the side lengths in Raquel's scale drawing?
-1 in., 2.4 in., and 2.6 in.
-0.5 in., 1.2 in., and 1.3 in.
-8 in., 19.2 in., and 20.8 in.
-128 in., 307.2 in., and 332.8 in.
Step-by-step explanation:
I am not sure this is typed all correctly.
what I understand here :
there is an original triangle ABC in inches.
then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.
the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.
due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.
and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).
that means that all side lengths are divided by 16 for the resulting triangle.
8 inches /16 = 0.5 inches
19.2 inches / 16 = 1.2 inches
20.8 inches / 16 = 1.3 inches
so, the second answer option is correct.
3-(1/3) to the fourth power
Answer:
i dint know about you but i got 2.98765432099
Step-by-step explanation:
im not sure if in right though
If any doubt please comment what you need clarification on.
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[tex]log_{4} (x+3)(x-3) = 2[/tex]
solve for x
Answer:
x = √11
Step-by-step explanation:
(x + 3)(x - 3) = 2
=> x² - 3x + 3x - 9 = 2
=> x² - 9 = 2
=> x² = 11
=> x = √11
Hoped this helped.
Which inequality represents this graph?
A) y ≤ 1/3x - 1
B) y > 1/3x - 1
C) y ≥ 1/3x - 1
D) y < 1/3x - 1
Answer:
D) y < 1/3x - 1
Step-by-step explanation:
the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.
A non-proportional timetion is represented by y-2x.
7 which table represents this function?
с
3
4.
A
13
15
17
9
12
16
4
79
15
D
B
im
4
3
2
9
23
30
13
4.
Answer:
The numbers appear random. Are there two columns? I can't decipher the list.
Step-by-step explanation:
Plot the function and see if any of the points fall on the line. See attachment.
Is the function y-2x = 7 ?? { I see y-2x.7}
y = 2x + 7
answer please answer please
Step-by-step explanation:
angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.
the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.
similarly, the angle AEB is 180 - 4x.
and then we know the sum of all angles in a triangle is airways 180 degrees.
so,
180 = 2x + 180 - 4x + 180 - 6x
0 = 180 - 8x
8x = 180
x = 22.5
Suppose that 11% of people own dogs. If you pick two people at random, what is the probability that they both own a dog
mike bought a 24 pack of mountain dew for $8.40. write and solve an equation to calculate how much each indivdual can soda cost
Answer:
$0.31
Step-by-step explanation:
You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!
Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?How much does Mr. Doyle have left to mow?
Answer:
Step-by-step explanation:
Dad: 2/5
Son: 1/3
Who mowed most of the lawn? Dad, of course. 2/5 is larger than 1/3. 2/5 is 40% and 1/3 is 33.333%
How much of the lawn still needs to be mowed?
2/5 + 1/3 + X = 1 [1 means the whole lawn. X is the remaining portion.]
6/15 + 5/15 + X = 1 [Convert each fraction so that they have a com,mon denominator. This also shows that 2/5 (6/15) is larger than 1/3 (5/15).
11/15 + X = 1
X = 1 - 11/15
X = 4/15 left to be mowed.
How much does Mr. Doyle have left to mow?
We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.
4/15 left to be mowed.
Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard
Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard
Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.
Convert the fraction into a decimal number. Then we have
2/5 = 0.40
1/3 = 0.33
Mr. Doyle mowed faster than his son.
The amount of the lawn still needs to be mowed will be given as,
⇒ 1 - 2/5 - 1/3
⇒ (15 - 6 - 5) / 15
⇒ 4 / 15
The amount of lawn still needs to be mowed will be 4/15.
Mr. Doyle has left to mow and will be given as,
⇒ (4 / 15) x (2 / 5)
⇒ 8 / 75
Mr. Doyle has left to mow and will be 8/75.
More about the Algebra link is given below.
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Can somebody help me with this question, im stuck on it.
Answer:
180 degrees
Step-by-step explanation:
Transformations don't change the size or angles of a triangle.
We know the angle of T & S. We need to find R.
To do this we will do...
180 - (60+40) =
= 180-100
=80
R is 80 degrees.
Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.
Also, remember that triangles will ALWAYS add up to 180 degrees.
Hope this helps! Please give this a rating and press the heart button! Thanks!
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 17. find the value of a.
Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:
(2a-1+a+7)/2 = 17
(3a +6)/2 = 17
3a + 6 = 34
3a = 28
a = 9[tex]\frac{1}{3}[/tex]
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3x - 1 = 4x - 10 solve for x
Answer:
3x - 1 = 4x - 10
-1 = x - 10
9 = x
Step-by-step explanation:
10-1=4x-3x
9=X
this is the answer with steps
What is the value of x?
Answer:
x = 7
Step-by-step explanation:
The right angle is composed of the 2 given angles, so sum to 90°
4x + 40 + 6x - 20 = 90
10x + 20 = 90 ( subtract 20 from both sides )
10x = 70 ( divide both sides by 10 )
x = 7
Which of the following expressions is modeled on the number line?
+
-2 -1
+
0
+
1
5
-
-
2
3
4
ܕܠܐ
6
7
-N
8
9
10
-2(3)
02.3
6 = -3
0 0 + 6
The answer is -2 -1
sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make
state the degree of f(x)= -x^4+x^2+x+1
Answer:
degree of 4
Step-by-step explanation:
The largest exponent.
please help!!
solve for x
Answer:
4
Step-by-step explanation:
These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,
→ 5x ― 6 = 3x + 2
→ 5x ― 3x = 2 + 6
→ 2x = 8
→ x = 8/2
→ x = 4
Therefore, the value of x is 4.
**PLEASE HELP ME**
its pre calc !
Answer:
a32 = -80
Step-by-step explanation:
The generic term of an arithmetic sequence is ...
an = a1 +d(n -1)
Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.
-221 = a1 +d(79 -1)
-14 = a1 +d(10 -1)
Subtracting the second equation from the first, we have ...
-221 -(-14) = (a1 +78d) -(a1 +9d)
-207 = 69d . . . . . simplify
-3 = d . . . . . . . . . . divide by the coefficient of d
Then the value of a1 can be found as ...
-14 = a1 +(-3)(9) . . . . substitute for d in the second equation
13 = a1 . . . . . . . . . . . add 27
__
Using our formula to find the 32nd term, we have ...
an = 13 -3(n -1)
a32 = 13 -3(32 -1)
a32 = -80
The 32nd term of the sequence is -80.
SIMPLIFY
STEP BY STEP EXPLANATION
WILL MARK BRAINLIEST!!!!!!!!!!!!!
Answer:
3x+7
3
Step-by-step explanation:
(3x-7) × (3x+7) × ____2x+4_____
6 3x∧2-x-14
(3x-7) × (3x+7) × ____2(x+2)_____
6 3x∧2 × 6x-7x-14
(3x-7) × (3x+7) × _____x+2_______
3 3x × (x+2)-7(x+2)
(3x-7) × (3x+7) × _____ x+2_______
3 (x+2) × (3x-7)
3x+7
3
Hope this helps! :)
two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange
Together, Sierra and Gavin earned $5,404. Sierra earned four-sevenths
of the money
5/7 of $5,404 is $3088.
Sierra earned $3088 and Gavin earned $2316
Mark was thinking of a number. Mark adds 1.7 to the number, then doubles the result to get an
answer of 42.7. Form an equation with x
Answer:
2(x + 1.7) = 42.7
Step-by-step explanation:
"adds 1.7 to the number" represents x + 1.7"then double the result" combined with "adds 1.7 to the number" represents 2(x + 1.7) "answer of 42.7" combine with all of the above makes 2(x + 1.7) = 42.7The diagram below shows how the tables and chairs are arranged in the school cafeteria. A table seats 3 people and the tables can be pushed together. When two tables come together, 4 people can sit around the table. Complete this table to show the relationship between the number of tables, n, and the number of students, S, who can sit around the table.
Answer:
well in theory on tabe has to be smaller so I guess the number of people in all is 4 and the difference between the tables are size
The Happy Paws pet store holds obedience classes for newly adopted puppies. On the first
night of class, the instructor separates all of the puppies into 11 equal groups. Each group
has 3 puppies in it.
Use an equation to find the number of puppies in the class.
Answer:
33 is the correcr answeerrr
Step-by-step explanation:
11x3 is 33