Answers
Hi! I'm happy to help!
First, we need to get our two equations, so we need to look at what facts we have throughout the equation. It tells us that x is 3 times as much as y. We can use this to write our first equation:
3y=x
All of the interior angles inside of a triangle add up to 180°, and because we already have 3 angles, we can use this information to make our second equation:
x+y+45=180
Now, we have to use these equations together to get our answer.
Since we can replace 3y for x (first equation) we can replace it in our second equation:
3y+y+45=180
We edit both sides of the equation in the same way to get the same outcome, but to simplify. Since we are solving for y, let's isolate it by subtracting 45 from both sides:
3y+y+45=180
-45 -45
3y+y=135
Let's combine the 3y and y to make things simpler:
4y=135
From here, we divide both sides by 4, to isolate y:
y=33.75
Now that we have our y value, we can use our first equation to solve for x:
3y=x
3(33.75)=x
101.25=x
We used our equations to get both our x and y values: 33.75, and 101.25.
I hope this was helpful, keep learning! :D
Related Questions
[tex]\frac{1}{3} (21y + 39) = -36[/tex]
Answers
1/3(21y+39)=-26 can be simplified into
7y +13 = -26
Next, subtract 13 from both sides
7y= -39
Now divide both sides by 7
Your answer is y=-39/7
Answer:
y = -7
Step-by-step explanation:
1/3 (21y+39) = -36
Distribute
7y +13 = -36
Subtract 13 from each side
7y+13-13 = -36-13
7y = -49
Divide each side by 7
7y/7 = -49/7
y = -7
3.
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
A. linear; y = x – 1
B. quadratic; y = x2 – 1
C. exponential; y = 3x – 1
D. linear; y = –x – 1
Answers
Explanation: y=mx+b
B=-1
M=0
Answer:
D. linear; y = –x – 1
Step-by-step explanation:
Linear; y=-x - 1
The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x
Answer:
The correct answer is D) linear; y = –x – 1
Step-by-step explanation:
To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.
(4, 5)
y = -x - 1
-5 = -4 - 1
- 5 = -5 (TRUE)
(0, -1)
y = -x - 1
-1 = 0 - 1
-1 = -1 (TRUE)
How do you translate "Twelve decreased by a quarter of number, x. in a variable expression
Answers
Answer:
12 - (¼*x)
Step-by-step explanation:
If something is "decreased by" in mathematics we are looking at a minus sign (-).
For instance 5 decreased by 2 is 5 - 2
find EF given E (-7, -2) and B (11, 3)
how do i solve this?
Answers
Answer:
EF ≈ 18.68
Step-by-step explanation:
Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)
d =√ (x2 - x1)² + (y2 - y1)² --> (this is the distance formula)
d =√ (11 - (-7))² + (3 - (-2))²
d =√ (18)² + (5)²
d =√ 324 + 25
d =√ 349
d ≈ 18.68
A shopkeepers bought 500 glass tumblers at rs 40 each . 20 glass tumblers were broken and he sold the rest at rs 45 each. Find his profit or loss percent
if you will solve this questions in copy and send me pictures of the answer then it will be very helpful for me please
Answers
500 at 40 each = £20000
To make a profit he needs to make more than £20000
20 broke so he sold 500-20 = 480 at 45 each.
480 x 45 = 21600
Profit = 21600 -20000 = 1600
His profit was £1,600
0.5t + 0.25(t +16) =4 + 0.75t
Answers
Answer:
0.5t + 0.25(t +16) =4 + 0.75t
0.5t + 0.25t + 4 = 4 + 0.75t
0.5t+ 0.25t – 0.75 t = 4– 4
0.5t +0.25t–0.75t = 0 —> 0 = 0
I hope I helped you^_^
Answer: All Real Numbers or A.R.N
Step-by-step explanation:
Given
0.5t + 0.25 (t + 16) = 4 + 0.75t
Expand parentheses and apply the distributive property
0.5t + 0.25 · t + 0.25 · 16 = 4 + 0.75t
0.5t + 0.25t +4 = 4 + 0.75t
Combine like terms
0.75t + 4 = 4 + 0.75t
Subtract 0.75t on both sides
0.75t + 4 - 0.75t = 4 + 0.75t - 0.75t
4 = 4
Since both sides are left with the same term, this means any number would be able to make the equation true.
Therefore the answer would be All Real Numbers, or [tex]\boxed{A.R.N}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Help please.
Simplify: 2 + 3i / 4 + 2i
Answers
Answer:
○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]
When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.
* Here is something you should know:
[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]
I am joyous to assist you at any time.
find the measures of the labeled angles
Answers
Answer:
4x° = (80 - x)°
Step-by-step explanation:
These angles are known as vertical angles. Vertical angles are equal to one another.
Answer:
64
Step-by-step explanation:
4x=80-x
16×4=64
80-16=
Monica has $10-off coupon. write an expression that describes the cost of t T-shirts, not including sales tax.
Answers
Answer:
19.95t - $10
Step-by-step explanation:
I think this is the answer but i could be absolutely wrong
Find the constant of proportionality (r) in the equation y=rx
Answers
Answer:
r = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given the proportional equation
y = rx ← r is the constant of proportion
Divide both sides by x
[tex]\frac{y}{x}[/tex] = r
Use any ordered pair from the table.
Using (8, 2 ) , then
r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Answer:
1/4
Step-by-step explanation:
Multiplying the input (x) by (1/4) results in the output. This is direct proportion, and the constant of proportionality is (1/4).
an employee is paid $9.00 per hour plus a 10% differential for evening shifts. in one workweek, he worked 24 hours on day shift and 24 hours in evening shift. calculate the gross wages for the week.
a. 482.80
b. 475.20
c. 491.40
d. 472.00
Answers
Answer:
$475.20
Step-by-step explanation:
all step by step procedure is available in picture below.
what is the solution to the compound inequality in interval notation
Answers
Answer:
First choice is the right answer (-∞, -9] or (2, ∞)
Step-by-step explanation:
I. Solve 1st problem 2(2x - 1) > 6
4x-2 > 6
4x > 6+2
x > 2
II. Solve 2nd problem x + 3 <= -6
x <= -6-3
x <= -9
III. Prove the answer
if x > 2 then x = 3
2( 2(3)-1 ) > 6
2(5) > 6
10 > 6 so the answer is true
if x <= -9 then x = -9
-9 + 3 <= -6
-6 <= -6 so the answer is true
Hope that help :D
Line RS bisects segment PQ at R. If RQ = x + 9 and RP = 2x, find PQ.
Answers
Answer:
PQ measures 36 units.
Step-by-step explanation:
Line RS bisects segment PQ at R. By the definition of a bisector:
[tex]\displaystyle PR = RQ[/tex]
Hence:
We are given that RQ = x + 9 and RP = 2x, and we want to determine PQ.
Solve for x. Substitute:
[tex]\displaystyle (2x) = (x+9)[/tex]
Hence:
[tex]\displaystyle x = 9[/tex]
PQ is given by:
[tex]\displaystyle PQ = PR + RQ[/tex]
Since PR = RQ:
[tex]\displaystyle PQ =2PR[/tex]
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} PQ &= 2PR \\ &= 2(2x) \\ &= 4x \\ &= 4(9) \\ &= 36 \end{aligned}[/tex]
Hence, PQ measures 36 units.
What is the coordinate of the midpoint of GO¯¯¯¯¯¯¯¯?
Answers
Step-by-step explanation:
I dunno what your question ask,and I think maybe you want the formula?
Are the following proportional? Explain or show
your reasoning
3/5 and 18/25
Answers
Answer:
No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!
Step-by-step explanation:
Hope this helps :)
Indicate the answer choice that best completes the statem
Write each equa ton in standard form. Identify A, B, and c
y=3/8x+5
Answers
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
Which equation represents a population of 490 animals that increases at an annual rate of 20% ?
Answers
Answer:
Step-by-step explanation:
The standard form of this exponential function is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is
[tex]y=490(.2)^x[/tex]
if y=x+2,what would y be if x = -2
Answers
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
-2 + 2 = 0
Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?
Answers
Answer:
17 hours
Step-by-step explanation:
total cost = fee + cost per hour * hours
100 = 15 + 5h
Subtract 15 from each side
100-15 = 5h
85 = 5h
Divide by 5
85/5 = 5h/5
17 =h
Answer:
Kim rent the bike for 17 hours.
Step-by-step explanation:
h=hours
15 + 5h = 100
Subtract 15 on both sides.
5h = 85
Divide 5 on both sides.
h = 17
4 - 2(x-4)/ 3= 3(2x+5)/2
linear equation in one variable
no spamms❌❌❌❌
Answers
Step-by-step explanation:
4-2x+8/3 = 6x+15/2
12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)
20-2x/3=6x+15/2
Do cross multiplication
2(20-2x) = 3(6x+15)
40-4x=18x+45
-4x-18x=45+40
-22x= 85
-x= 85/22
x= - 3.86..
hope it helps
PLEASE HELP, I UNDERSTAND BUT DONT UNDERSTAND
Answers
Answer:
(7/12) + (4q/6)
Step-by-step explanation:
[tex] \frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3} \\ = \frac{11}{12} + \frac{4}{6} q - \frac{1}{3} \\ = \frac{11}{12} - \frac{1}{3} + \frac{4}{6} q \\ = \frac{11}{12} - \frac{4}{12} + \frac{4}{6} q \\ = \frac{7}{12} + \frac{4}{6} q[/tex]
Answer:
Step-by-step explanation:
Like terms have same variable with same power.
(11/12 and 1/3 are like terms) & (-1q/6 & 5q/6 are like terms}
[tex]\dfrac{11}{12}-\dfrac{1}{6}q+\dfrac{5}{6}q-\dfrac{1}{3}=(\dfrac{11}{12}-\dfrac{1}{3})-\dfrac{1}{6}q+\dfrac{5}{6}q\\\\=(\dfrac{11}{12}-\dfrac{1*4}{3*4})+[\dfrac{-1+5}{6}]q\\\\=(\dfrac{11}{12}-\dfrac{4}{12})+\dfrac{4}{6}q\\\\=\dfrac{(11-4)}{12}q+\dfrac{4}{6}q\\\\=\dfrac{7}{12}+\dfrac{4}{6}q[/tex]
9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters)
Answers
Welcome to Brainly! I'm happy to help!
We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.
A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.
This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!
1,610×1,000=1,610,000 (one million six hundred and ten thousand!)
Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.
1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)
So, Tobias ran 4,830,000 millimeters!
Have a wonderful day and keep on learning! :D
The ratio of oranges to apples in a basket is 3:4. If 6 oranges were taken from the basket and 6 apples were added to the basket, the ratio of the number of oranges to apples would be 1:6. How many more apples than oranges are there in the original basket?
Answers
Answer:
There was 9 oranges and 12 apples in the original basket
Step-by-step explanation:
3:4
9:12
subract 6 oranges and add 6 apples
3:18
divide by 6
1:6
can someone solve this for me?
Answers
The only number greater than one is 4/3.
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
х
y
6
2.
А
12
4
30
10
х
у
3
1.8
B
7
4.2
9
5.4
T
y
4
1.2
с
8
2.4
13
3.9
Answers
Answer:
C
Step-by-step explanation:
y=kx or xy=k are true such that k=0.3
in C, 1.2=4*0.3, 2.4=8*0.3, and 3.9=13*0.3, so C follows this rule
Can you please show all your work plus the equation
Answers
Midpoints & endpoints
Answers
Answer:
The coordinates of A are (1, -4)
Step-by-step explanation:
The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)
However, in this problem, we're already given the midpoint. We're trying to find an endpoint. So, the equation changes into:
((x + 9) / 2 = 4, (y + 0) / 2 = -2)
For the x and y coordinates, multiply both sides by 2
(x + 9 = 8, y = -4)
(x = -1, y = -4)
Rewrite as coordinates.
(-1, -4)
2(2t+4)=3/4(24−8t) please help
Answers
Step-by-step explanation:
the process is shown above hope you understand.
PLEASE HELP FAST
bx = -5
Answers
9 + x + 1 + 2x
Can someone help me out with this :)
Answers
3x + 10
Step-by-step explanation:
9 + x + 1 + 2x
Combine like terms
2x + x = 3x
Combine like terms
9 + 1 = 10
We’re left with 3x + 10
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{9 + x + 1 + 2x}[/tex]
[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]
[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]
[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
