Answers
[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]
Related Questions
Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan.
A. What is the ratio of songs by the group from Michigan to the number of songs played?
B. Write the ratio in simplest form.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?
Answers
Answer:
Step-by-step explanation:
A. What is the ratio of songs by the group from Michigan to the number of songs played? 3/15
B. In lowest terms, 3/15 is 1/5.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours? To answer this, multiply the 1-hour unit rate by 3: 3*3 = 9 Michigan group songs over the next 3 hours.
At Fenway park, they can sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less hot dogs. How many hot dogs should they sell to make profit? Please I need this question by 11:30 pm I’ve been looking everywhere but can’t find answers.
Answers
2500 hot dogs must be sold to make a profit
If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:
SP= 4 * 5000
SP = 4 + 0.25x
Total number hot dog sold = 5000 - 200x
Revenue = Sales price*Total number hot dog sold
When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]
Taking the product, the resulting function will be;
[tex]g(x) = -50x^2 + 1250x + 20000[/tex]
To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:
[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]
Substittute x = 12.5 into the total number hot dog sold function
Recall that n = 5000 - 200x
n = 5000 - 200(12.5)
n = 5000 - 2500
n = 2500
Hence 2500 hot dogs must be sold to make a profit
Learn more here: https://brainly.com/question/19594550
Maddie has $100. She worked for 5 days and she now has $200. What
integer represents the average increase in value PER DAY?
Answers
She gets 20 dollars every day.
Can someone please help me solve this please
Answers
Step-by-step explanation:
j(x) = 2x + 9
=> 2x + 9 = j(x)
=> 2x = j(x) - 9
=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29
5-3x=Px+7
what value must P have for the equation to have no solutions?
Answers
Answer:
P = - 3
Step-by-step explanation:
For the equation to have no solutions the the coefficient of x on both sides must be the same.
5 - 3x = Px + 7 ← P = - 3 , then
5 - 3x = - 3x + 7 ( subtract 5 from both sides )
- 3x = - 3x + 2 ( add 3x to both sides )
0 = 2 ← not possible
Meaning the equation has no solutions
What is the value of x?
Answers
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
-8, -11, -14, -17, -20, ...
Find the 30th term of this Arithmetic Sequence.
Answers
Answer:
-95
Step-by-step explanation:
formula in finding this is -3
Arithmetic Sequnce:
-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.
Carry on learning
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
clearly, we see here, this constant is -3.
and we start with -8.
a1 = -8
a2 = a1 - 3 = -8 - 3 = -11
a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14
so, it becomes clear that
an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3
so,
a30 = -8 - 29×3 = -95
HURRY PLS HELP IN 5 MINS
Answers
Answer:
P is the incorrect answer
On his bike, Jason can travel 8 miles in 50 minutes.
At this rate, how far can Jason travel in 150 minutes.
Answers
Answer:
24 miles
Step-by-step explanation:
50 minutes = 8 miles
100 miles = 16 miles
150 minutes = 24 miles
Answer:
Jason can travel 24 miles in 150 minutes.
Step-by-step explanation:
8= miles. 50&150= mins
8=50.
Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.
150÷50= 3.
So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.
3×8= 24
So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)
Hope this wasn't too confusing,
Hope this helps!
Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them
Answers
Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.
Step-by-step explanation:
By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.
pls i only have 1 minute left hurry
Answers
Answer:
look at the picture i have sent
Express (5a3n)3 with positive exponents.
Answers
Answer:
45an
Step-by-step explanation:
1st. (5a × 3n) × 3
2nd. Multiply the monomials
3rd. after doing that you get 45an
the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost
Answers
Answer:
48
Step-by-step explanation:
First find the amount of the markup
40 * 20%
40 *.2
8
Add this to the original price
40+8 = 48
Please answer for me
Answers
Step-by-step explanation:
sin b= opposite/hypotenuse
sin b = 60/61
sin = opposite/hypotenuse
The opposite of b is opposite
The hypotenuse is always 61
Hope this helps
Help plz this is difficult
Please explain how to get the measure of the angle because khan academy did not
Thanks
-Tornado
Answers
To begin, remember that the sum of all angles must equal 180.
With that being said, take your two known angles into account.
1 - X = Unknown
2 - 102
3 - 48
To find x, simply add 102 and 48.
102 + 48 = 150, the sum of angle 2 & 3.
Remember that the sum of the whole figure must be 180. With that being said, subtract 180 and 150.
180 - 150 = 30
x = 30
To double check, add all the sides together.
102+48+30 = 180
(X-3)(X-12)
Expand and simplify
Answers
Answer:
x^2-15x+36
Step-by-step explanation:
x(x-12)-3(x-12)
x^2-12x-3x+36
x^2-15x+36
Answer: X^2 -15x + 36
Step-by-step explanation:
(X-3) (x-12)
Multiply each term in the first bracket by each term in the second bracket
X^2 -12x -3x + 36
Collect like terms
X^2 -15x + 36
What is the equation of the line that passes through the point (-3,-6) and (2,-2)
Answers
Answer:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)
There are 3 ways to write the equation of the line:
In slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptIn point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a pointIn standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be zero, and a cannot be negativeThe easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way
So we'll need to find the slope
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:
[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]
Now substitute these values into the formula. Remember that m is the value of the slope:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--6}{2--3}[/tex]
Simplify the fraction:
m=[tex]\frac{-2+6}{2+3}[/tex]
Add the numbers together:
m=[tex]\frac{4}{5}[/tex]
So the slope of the line is 4/5
Let's plug it into the formula y=mx+b, since we now know the value of m
y=[tex]\frac{4}{5}[/tex]x+b
Now let's find b
As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b
Either point works, but let's take (2, -2) for instance
Substitute 2 as x and -2 as y
-2=4/5(2)+b
Multiply
-2=8/5+b
subtract 8/5 from both sides
-18/5=b
Now substitute -18/5 as b into the equation:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Hope this helps!
You surprised your friends with a trip to a haunted house this weekend. The admission tickets were $8 per friend. You had to pay an additional $5 for parking and you spend $20 on food. You also got your friends a card that was $2 per friend. At the end of the night, you spent $105. How many of your friends did you bring to the haunted house?
Answers
Answer: 8
Step-by-step explanation:
Ok, start going backwards with the addition and substration which makes it:
105 – 25 = 80
Since you had to pay 8 and 2 for each friend so that makes the cost for a friend 10 so:
80 divided by 10 = 8
8 Friends is the answer.
what is the slope of y=-4?
Answers
Hello there!
The slope of this line is 0.
y=-4 is a horizontal line.
We find the slope using the formula Rise/Run.
The rise is 0, and no matter what the run is, the slope is 0 anyway.
Hope this helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
HELP PLEASE DUE IN 40 MINS!
Answers
Answer:
False
Step-by-step explanation:
AB is equal to DE not DF
AC is equal to DF not EF
Given: \overline{AE} \parallel \overline{FD},
AE
∥
FD
, \overline{BF} \parallel \overline{EC}
BF
∥
EC
and \overline{AC} \cong \overline{BD}.
AC
≅
BD
.
Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)
Answers
Answer:
See below for answer.
Step-by-step explanation:
∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate
interior angle
Δ AEC ≅ Δ DFB ASA
2x+10=4.what are the steps to follow as to get the actual value of X
Answers
So we want to get X alone
So we - 10 on both sides
2x = 4-10
2x = -6
Now we divide by 2 so we get the value of X
X = -3
On a trip, you see a large, sphere-shaped house. The volume of the house was 3,367,575 cubic feet. What is the radius? Use 3.14 to approximate pi. Round your answer to the nearest whole number.
Answers
Answer:
r≈93
Step-by-step explanation:
V=4/3πr³
3,367,575=4/3(3.14)r³
3,367,575=314/75r³
multiply both sides by 75/314
804357 27/314=r³
∛804357 27/314=∛r³
r≈93
Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm
Answers
Answer:
43.5 cm
Step-by-step explanation:
The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.
45/15 = 3
14.5 * 3 = 43.5 cm
Answer:
43.5
Step-by-step explanation:
PLEASE HELP 7th GRADE MATH ASAP!
I dont know what the constant of proportionality is, so HELP
Answers
Answer:
a. 28.7 miles
b. 40 miles
Step-by-step explanation:
See attachment.
Convert minutes to hours and divide that into 1 1/2 miles to get a speed of 40 miles/hr (mph). Multiply 40 mph by each of the two times (converted to hours) to find the miles travelled for the two times.
a. 28.7 miles
b. 40 miles
[tex]-------------------[/tex]
12+2=
Answers
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choices below.
2+y=5
x^2+ y = 11
Answers
Answer:
no answer choices shown but solution
would be [-2.8, -∞] and [2.83, ∞]
Step-by-step explanation:
hi! I need help ! Triangles geometry angles table.
Answers
Answer:
145°
Step-by-step explanation:
[Finding the non-label angled in the triangle] 180° - 75° = 105°
Finding 3: (x = angle 3)
[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180
[combine like terms] 145° + x = 180°
[subtracting 145 from both sides] 35° = x
() We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle
Finding 4: (x = angle 4)
180 - 35 = 145°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Please help! Due in two hours!
Answers
Answer:
-175.26
Step-by-step explanation:
[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]
Evaluate the expression when x=−4/5 and y=1/3.
2x+6y
Answers
Answer:
2
--
5
Step-by-step explanation:
Start by multiplying 2 and -4/5 as fractions
2 -4 -8
------ x ------ = -------
1 5 5
Then multiply 6 and 1/3 as fractions
6 1 6 2
------ x ------ = ------- = -----
1 3 3 1
Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.
-8 10 2
------- + ------ = -------
5 5 5