Answer:
x = 4
y = 1
Step-by-step explanation:
At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°
∵ The sum of the interior angles of a triangle is 180°
∴ 52° + 90° + (6x + 14y)° = 180°
→ Add the like terms
∴ 142° + (6x + 14y) = 180°
→ Subtract 142° from both sides
∴ (6x + 14y)° = 38° ⇒ (1)
→ By using the two triangles
∵ The two triangles are congruent
∴ (15x - 8y) = 52° ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -2 to make the
coefficients of x equal in values and different in signs
∵ 5(6x + 14y) = 5(38)
∴ 30x + 70y = 190 ⇒ (3)
∵ -2(15x - 8y) = -2(52)
∴ -30x + 16y = -104 ⇒ (4)
→ Add equations (3) and (4) to eliminate x
∵ 86y = 86
→ Divide both sides by 86 to find y
∴ y = 1
→ Substitute the value of y in equation (1) to find x
∵ 6x + 14(1) = 38
∴ 6x + 14 = 38
→ Subtract 14 from both sides
∴ 6x = 24
→ Divide both sides by 6
∴ x = 4
A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards?
Answer:
98 yards
Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
The length of the park was 98 yds, before the path was built.
Answer:
98 yards
Step-by-step explanation:
First we will list our values
new w: 42
old w: 40
old l: x
new l: x+2
we are adding 2 to the new values as there is 1 yard on either side
now we will find the new area:
42 * (x+2) =4200
42x+84=4200
42x=4116
x=98
In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Kaitlin spent on video game and DVD rentals in the past month?
Kaitlin rented 3 video games and 6 dvds.
2.60 x 3 = 7.50 (dollars and cents)
3.30 x 6 = 19.80 (dollars and cents)
add them together to get the total cost in the past month.
(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)
ex: $2.60 x 3 <-- the amount of games she bought.
i hope this helps you.
Answer:
Kaitlin spent $27.60 on video games and DVDs in the past month.
Step-by-step explanation:
We know the price of one video game, one DVD, and the amount that was rented in the past month.
To find the total cost of the video games, multiply:
$2.60 x 3
= $7.80 spent on video games in the past month
To find the total cost of the DVDs, multiply:
$3.30 x 6
= $19.80 spent on DVDs in the past month
To find the total cost, add the total cost of video games and DVDs together:
$7.80 + $19.80 = $27.60
Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.
ok there’s the science slides , and i think they are quite easy i just need some help bc im lazy . ik this is the math thing but
Answer:
just look up the answers on google
Step-by-step explanation:
Part A: If (6^2)^x = 1, what is the value of x? Explain your answer.
Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.
Step-by-step explanation:
A.
[tex](6^2)^x=1\\\\36^x=1\\\\36^x=36^0\Rightarrow x=0[/tex]
Every number to the power of 0 gives us 1
[tex]a^0=1\ \text{for}\ a\in\mathbb{R}[/tex]
B.
[tex](6^0)^x=1\\\\1^x=1\\\\x\in\mathbb{R}[/tex]
1 to the any power gives us 1.
[tex]1^n=1\ \text{for}\ n\in\mathbb{R}[/tex]
Pls help me ASAP!!!!!
Answer:
2 4/5
Step-by-step explanation:
You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5
Answer:
It is c, 2 4/5
Step-by-step explanation:
5 goes into 14 2 times with 4/5 left over
(Help me ASAP please) Which table contains only corresponding X-values in a Y-values where the value of Y is 3 more than the quotient of X and 2?
Answer:
Step-by-step explanation:
first ,you put it in a equation :y=x/2 +3 and you get an ordered pair from the graph like 7 is x and 6.5 is y ,answer =7/2 =3.5 +3=6.5 and the y is also 6.5 so that is your answer.
+54- -75 what the answer
Answer:
-21
Step-by-step explanation:
positive 54 decreased negative 75. The answer is -21. why? Because the negative variables is higher than the positive variable in the given.
Answer:
129
Step-by-step explanation:
+54- -75
54+75=129
When you are subtracting 54- -75, the symbols will automatically change to postives.
You could also use the method:
Keep, change, change
54 + +75
helpgchjsghjcvbxnvbsvjdgasghgbhdvbahgvgbd
Answer:
yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet
Step-by-step explanation:
Rewrite equation y=-2/3x+4 in standard form
Answer: 2x+3y=12 I believe
help = brainleist
please help
Answer:
The answer is D
Step-by-step explanation:
Hope this helps
please mark as brainlist
3p^2-24+36
factorise with appropriate identity
Answer:
3(p^(2)+4)
Step-by-step explanation:
Pam rented a bike from Jim's bike shop. Jim charges a rental fee of $6 and then $3 per hour
to rent the bike. If Pam paid $27, for how many hours did she rent the bike?
Answer:
7 hours
Step by step instructions:
$3 x 7 hours = $21
$21 + $6 = $27
just help and explain so i can understand!!
Answer:
‒6
Step-by-step explanation:
‒2‒4=‒6
or this means when you borrow 2$from one person&4$ from other person,then totally you have borrowed 6$. &borrow also expressed by‒ve
anyway you can understand as you want as you like
i think it is clear
i hope you understand me what i am saying
Epicly epic epicness which is accounted to be epicly epic (36 points)
Answer:
epic
Step-by-step explanation:
Answer:
VERY EPIC
Step-by-step explanation:
Which is NOT true?
A
15 = 15
B
15 = 18 - 3
C
15 + 3 = 11 + 7
D
15 + 3 = 15 + 13
Answer:
D 15 +3=15+13
Step-by-step explanation:
Expression 15 + 3 = 15 + 13 is not true because left hand side is not equal to right hand side. Option D is correct.
Given that,
From options
A. 15 = 15 B. 15 = 18 - 3 C. 15 + 3 = 11 + 7 D.15 + 3 = 15 + 13
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
In mathematics, it deals with number of operations according to the statements
In the question is to be determined which is not true, by analyzing that LHS and RHS of the expression should be equal
A. 15 = 15
LHS = RHS
B. 15 = 18 - 3
LHS = RHS
C. 15 + 3 = 11 + 7
LHs = RHS
D.15 + 3 = 15 + 13
18 ≠ 28
LHS ≠ RHS
Thus, 15 + 3 = 15 + 13 is not true. Option D is correct.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
So yeah can anyone help me out be a tone
Answer:
p = -4
Step-by-step explanation:
-3( 2+4p) + 7 = 49
Subtract 7 from each side
-3( 2+4p) + 7 -7= 49-7
-3( 2+4p) = 42
Divide by -3
-3( 2+4p) /-3 = 42/-3
( 2+4p) = -14
Subtract 2 from each side
2+4p-2 = -14-2
4p = -16
Divide by 4
4p/4 = -16/4
p = -4
1. (3x + 7) + (8x + 2)
What is the word name for 716,270,408?
Answer:
Seven hundred sixteen million, two hundred seventy thousand, four hundred eight
Step-by-step explanation:
Answer:
seven hundred sixteen million two hundred seventy thousand four hundred and eight
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square
Answer:
[tex]\bold{\dfrac{225}4}[/tex]Step-by-step explanation:
[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]
So to complete the square we need to add (and subtract) the number [tex]\frac{225}4[/tex]
Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *
Answer:
Step-by-step explanation:
Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;
1, 2, 4...
The nth term of an arithmetic sequence is expresses as;
[tex]T_n = ar^{n-1}[/tex] where;
a is the first term
r is the common ratio
n is the number of terms
To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).
from the sequence above;
a = 1
r = 2/1 = 4/2 = 2
T4 = 1(2)^{4-1}
T4 = 2^3
T4 = 8
Hence the hydra will have 8 heads on the third day.
To know the number of heads at the end of 10 days, we will find the 11th term of the progression
T11 = 1(2)^{11-1}
T4 = 2^10
T4 = 1024
He will have 1024 heads after 10 days of trying to kill the monster.
The number of heads that would the Hydra have on the third day is 8
And, at the end of 10 days of trying to kill it is 1024.
The calculation is as follows:a = 1
r = 2 by 1 = 2
T4
= 8
So the hydra will have 8 heads on the third day.
Now
To know the number of heads at the end of 10 days, we will determine the 11th term of the progression
= 1024
Learn more: https://brainly.com/question/24908711?referrer=searchResults
2 (k + 2) = 8k - 5 - 3k
Answer:
k=3
Step-by-step explanation:
Answer:k=3
Step-by-step explanation:
i need help with fractions :(
Answer:
x = 0, Need the steps?
STEPS:
9x - 7 = -7 (Original Problem)
9x = 0 (Add 7 to both sides)
x = 0 (Divide both sides by 9)
Answer:
Step-by-step explanation:
(3) 9x-7=7
First multiply 3 by 9x to get 27x
27x-7=7
Then add 7 to both sides
27x-7+7=7+7
27x=14
27x/27=14/27
x=14/27
1/2*x=3/4(x-2) what is the answer?
Answer:
x=6
Step-by-step explanation:
1/2x=3/4(x-2)
1/2x=3/4x-1.5 (distribute)
+1.5 +1.5
1/2x+1.5=3/4x
-1/2x -1/2x
1.5=1/4x
6=x
hope this helps
brainliest?
Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property
Answer:
C) Subtraction property of equality.
Step-by-step explanation:
Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:
[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].
Kindly refer to the attached image for details of the given angles and lines.
Proof that [tex]\angle q\cong \angle s[/tex] :
[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]
Here, subtraction property of equality is used in the last step shown in the above.
As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.
Answer:
C
Step-by-step explanation:
Because I am a genius
Four friends stay at the Pickled Parrot Hotel for a night and each
have an evening meal. Bed and Breakfast costs £37 per person and
the evening meal costs £15 per person. How much is the total cost,
if a service charge is added at 171/2%?
Answer:
total cost is £244.4
Step-by-step explanation:
( 37 * 4 ) + ( 15 * 4 ) = 208
208 * .175 = 36.4
208 + 36.4 = 244.4
HOPE THIS HELPS
Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?
Answer:
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Step-by-step explanation:
Given
[tex]Time = 1\ hour[/tex]
[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]
[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Required
Determine time spent on orchestral pieces
From the given parameters, we have:
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.
So, we have:
[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]
[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
7s+5c=181.40
9s+1c=132.80
Answer:
s=12.7
c=18.5
hope this helps :)
Solve for x plz show all the work. x/3=6
Answer: x=18
Step-by-step explanation:
X/3=6
We want to get x alone so we multiply both sides by 3
X=18
If 6 candy bars cost a total of $12, then $2 is the ___________ of the candy bars. *
What is the slope of a line that is parallel to the graph of 2x+3y=5?
Answer:
2/3
Step-by-step explanation:
I checked on desmos.