Answers
Answer:
add them together and set them equal to 180
Step-by-step explanation:
They are both supplementary angles, so 15x+85+20x-10=180, so combine like terms=>35x+75=180
subtract 75 from both sides=>35x=105
divide both sides by 35 to get x alone=>x=3
plug that in for 20x-10
20(3)-10
=>60-10
=>50
Related Questions
An equipment rental company charges $40 per day to rent a trench digger. A construction crew rented a trench digger for 6 days and paid 270. Write a linear equation in slope-intercept form that represents the total cost to rent the trench digger as a function of the number of days.
What should x and y equal, what is the y-intercept, and what is the equation
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
Let 'x' be the number of daysLet 'y' be the total costAn equipment rental company charges $40 per day to rent a trench digger.
It means the rate of change = $40 per day
We know that the rate of change is also termed as the slope.
Thus,
m = 40
Given that a construction crew rented a trench digger for 6 days and paid 270.
It means at x = 6, y = 270
substituting (x, y) = (6, 270) and m = 40 in the slope-intercept form to determine the y-intercept 'b'
y = mx+b
270 = 40(6) + b
270 = 240 + b
b = 270 - 240
b = 30
Thus, the y-intercepy b = 30
Now, substituting m = 40 and b = 30 in the slope-intercept form
y = mx + b
y = 40x + 30
Thus, the equation of line in the slope-intercept form is
y = 40x + 30
VERIFICATION:
Put x = 6, in the equation to determine the total cost for 6 days
y = 40x + 30
y = 40(6) + 30
y = 240 + 30
y = $270
Thus, the total cost for days rent = $270
Therefore, x must be equal to 6 i.e. x = 6 to find the total cost i.e. y = 270.
The ratio of cherry candies to grape candies in a bag is 3:5. After your friend eats half of the grape flavored candies and only one cherry flavored candy, the ratio of cherry to grape candies is 7:6. How many candies are left in the bag?
Answers
Answer:
65
Step-by-step explanation:
The computation of the number of candies left in the bag is as follows:
Let us assume the cherry candies be c ;
And, grape candies be g
Now the ratio between them is 3:5
And, in the case when half of the candies are eaten and one cherry is also eaten so the ratio is
(c - 1) ÷ (g ÷ 2) = 7 ÷ 6
After subsitution
It would be
(3 ÷ 5g - 1) ÷ (g ÷ 2) = 7 ÷ 6
Now after solving it,
g = 60
And, the c = 35
As the candies are half so it would be 30 now
So, the number of candies together is
= 35 + 30
= 65
Find the y-intercept
- 74 - 7y = -7%
Answers
Answer: -75
Step-by-step explanation:
solve the inequality
2(4x-3)>-3(3x)+5x
Answers
8x -6>_ -9x + 5x
8x-6>_ -4x
12x>_6
x>_ .5
the answer is the first one
factor 64x² + 114x + 81
um idk how to do these and I'm not gonna learn please help. also I'm gonna have a lot more like this so if you can go through my questions and answer them if you know how... that would be great :)
Answers
Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski his speed on the jet ski was 10 mph faster than the motor boat bill spent a total of 4 hours on the water what was his speed in the motor boat
Answers
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
What is the Square root of 38 to the nearest hundredth? with long division solution
Answers
Answer:
6.164
Step-by-step explanation:
Hurry answer please
Answers
A) The distance between -5 and 0 is a Positive 5 because it takes 5 positive spots to go from -5 to 0.
B) The Absolute Value of -5 is 5. (Absolute Value means the distance from that number from zero) Is takes 5 spots to get to -5.
I hope this helps, and Happy Holidays! :)
Answer:
1) 5 units
2) 5
Step-by-step explanation:
absolute value is basiclly the opposite for example 4 would be -4 and -7 would be 7
also if it has lines like this: |2| it stays as it is so |3| is still 3 and |-5| is still 5
hope this helps :)
How many solutions does the following equation have?
5x + 4 = 3(2x - 5) - (x + 5)
One. Many. None
Answers
Step by step:
1.
How many different three - scoop bowls of ice cream are there?
There is 24 total flavors to choose from
Answers
Answer:
i think 126 different bowls
correct me if im wrong
At your birthday, 38 of the 24 guests were relatives. How many of the guests were NOT relatives?
Answers
Answer:
15 guests were not relative.
Step-by-step explanation:
It is given that,
At your birthday, 3/8 of the 24 guests were relatives.
No of relatives,
[tex]=\dfrac{3}{8}\times 24\\\\=9[/tex]
So, there are 9 relative at the party.
No of guests that are not relative,
= 24 - 9
= 15
Hence, 15 guests were not relative.
C'mon any washingtonians???
Answer the questions based on the interview of Warren Michio Tsuneishi.
The most difficult thing for Tsuneishi about living in the internment camp was the
_________
Moving to internment camps for many Asian American families meant
_________
The spirit of the internment camp compared to the German concentration camp at Dachau was different, but the camp was similar in
_________
Answers
Answer:
1. Loss of freedom
2. Economic loss
3. Layout
Step-by-step explanation:
Answers are numbered for each one
Answer:
1. Loss of freedom
2. Economic loss
3. Layout
Step-by-step explanation:
I just took the quiz
When solving 7.6 ÷ 10, how is the decimal point moved?
1 place to the right
1 place to the left
2 places to the right
2 places to the left
Answers
Answer:
1 place to the left
Step-by-step explanation:
im pretty sure
Describe two ways the Earth moves.
Answers
Answer:
On it's Axis and it moves around the sun
Step-by-step explanation:
Ez points
I speak without a mouth and hear without ears. I have no body but come alive with wind. What am I?
Answers
Answer:
echo
Step-by-step explanation:
in a circle what is the ratio of the circumference to its diameter
Answers to pick from: A.are B.radious C.volume D.pi
Pleas answer it fast if you dont know it pleas dont answer.
Answers
Answer:
if i remember from last year..
Step-by-step explanation:
Its B. Radius** i think you misspelled it
what is 31 billion in scientific notation?
explain clearly <3 :D
Answers
Answer:
3.1*10^10
Step-by-step explanation:
31 billion would be written like that because... there are 9 0's left, and that goes up to 10 because i turned 31 to 3.1 not 31, so that value after a decimal point adds 1
A small university enrolls in-state and out-of-state students. The number of students enrolled to their most recent freshman class was 243. The school reported that it enrolled seven in-state students for every two out-of-state students. How many of each type of student was enrolled in freshman class ?
please answer this as soon as you can and i will give you a brainliest.
thanks :)
Answers
Answer:
In-State = 189
Out-of State = 54
Step-by-step explanation:
In-State = 7
Out-of State = 2
In-State
7/9 = x/243
= 189
Out-of State
2/9 = x/243
= 54
PLEASE HELP ASAP BRAINLIEST WILL BE GIVEN.
Item 3
Jessica and Raphael are saving money for concert tickets. Each friend starts with an amount and also saves a specific amount each week.
Jessica came up with the following equation to show the total, y, she has saved at the end of each week, x.
y = 10x + 20
Raphael created a table to show the total he has saved at the end of each week.
Weeks 0 1 2 3 4 5 6 7 8
Amount saved 40 46 52 58 64 70 76 82 88
After saving for a certain number of weeks, Jessica and Raphael will have each saved the same amount of money. How much money will they have each saved then?
Compare the rate at which each friend saves money.
Select the correct answer from the drop-down menu to complete the statement.
The rate at which Jessica is adding to her savings each week is $
1,4,6,8,or 10
more than the rate at which Raphael is adding to his savings each week.
Answers
Answer:
part 1: Jessica saved 100, Raphael saved 88
part 2: The rate at which Jessica is adding to her savings each week is $4 more than the rate at which Raphael is adding to his savings each week.
Step-by-step explanation:
First figure out how much money Jessica saved at the end of week 8, compared to Raphael.
Use x =8
y = 10*8 + 20 = 100
For Raphael it is shown in the table as 88.
Next figure out the rate Raphael saves. We can find the slope usng (y2-y1) / (x2-x1).
Using the table lets use (0,40) and (1,46)
46-40 / 1-0 = 6/1 = 6
So Raphael saves $6 each week. This is $4 less than what Jessica saves each week since the slope for her equation is 10 or $10 each week.
please give thanks :)
and brainliest, much appreciated
Answer:
Step-by-step explanation:
10 each weekkkkkkkkkk
ad, fj hjfgwfjnsj fbesfhbfhwbhfwe f ehw fhw efweh f weh
Answers
Answer:
I just want the points please
Step-by-step explanation:
the answer is 10029481
there are Thirty coins and they are all dimes and nickels, and they are worth $2.60. How many nickles and dimes are there
Answers
Can you please help me!? Explain and show work, please!
Answers
Answer:
no solution
Step-by-step explanation:
someone please help
Answers
Answer:
6
Step-by-step explanation:
Find m∠1. Then classify the triangle by its angles.
Answers
Answer:
52 degrees
right triangle
Step-by-step explanation:
Answer:
42°
Step-by-step explanation:
The given triangle is a right triangle since the sum of interior angles in a triangle is equal to 180° and two of the angles' measurements are known then the third angle must be 42°
The table shows the width and length of different pictures that Shakira has enlarged for the school yearbook:
Enlarged Picture
2 5
4 10
6 15
Based on the table, what is the length of a picture that has a width of 18 inches?
A:36
B:38
C:45
D:90
I really need help pls and thx
Answers
Answer:
If the left column is the width then the length is 45
If the right column is width then the length is 7.2
Step-by-step explanation:
ratios
3. Consider the figure below, What is the sum of m
Answers
Answer:
you do not have enough information to determine
Which is the best estimate of 28x0.64
Answers
Answer:
the full answer is 17.92, so that would round up to 18
Step-by-step explanation:
:)
Use (2, 16) and (4,32) to find the constant of proportionality.
The unit rate (constant of proportionality) is
miles
hour
(Simplify your answer
Answers
Answer:
8 miles per hour
Step-by-step explanation:
First find the slope. The slope is the unit rate/constant of proportionality.
To find slope use the points given and formula y2-y1 / x2-x1
(32-16) / (4-2)
= 16 / 2
= 8
Thus the unit rate is 8 miles per hour.
please give thanks, hit the heart button! :)
Find the perimeter of the triangle
Answers
Answer:
60 ft
Step-by-step explanation:
(x+13) = (3x-1) = (6x-22) since the triangle is equaililateral
(x+13) = (3x-1) (we only need to chose 2)
-2x=-14
x=7
after this, we just need to plug in the number for x
3(7)-1= 20--->since the triangle has 3 congruent sides, they all have the distance, so 20x3=60
60FT
What is the length of segment V? Help please asap
Answers
Explanation
8+6=14
14-3=11
Answer:
11
Step-by-step explanation:
8+6=14
14-3=11