Answer:
C=25n+4300
Step-by-step explanation:
Given that,
Last year, Pinwheel Industries introduced a new toy. It cost $4 ,300 to develop the toy and $25 to manufacture each toy.
We need to write a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys.
Here, m will be cost for each toy and b is the cost to develop each toy. So,
C=25n+4300
Hence, this is the required solution.
Benjamin decided to himself to breakfast at Seva restaurant he ordered chocolate milk that cost $3.25 then he wants the bio as many pan cakes as he can but he wants to be able to be at most $30 before tax the restaurant only sells pancakes in stacks oh for pancakes cakes for $5.50. Let S represent the number of stacks of pancakes that Benjamin buys which any inequality describe this scenario
Answer: 3.25 + 5.50s ≤ 30
Step-by-step explanation:
The following information can be gotten from the question.
Cost of chocolate milk = $3.25
Cost of stack pancake = $5.50
Maximum amount to be spent by Benjamin = $30
Number of stacks of pancakes to be bought = s
First, we need to calculate the stacks of pancakes that Benjamin can buy. This will be:
= $5.50 × s
= 5.50s
Therefore, the total money that Benjamin will spend will be:
= 3.25 + 5.50s
Since he wants to be able to be at most $30 before tax, the inequality can be written as:
= 3.25 + 5.50s ≤ 30
A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, how many cups of pineapple should you use.
Answer:
You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
Step-by-step explanation:
With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:
30 cups of orange juice → 18 cups of pineapple juice
1 cup of orange juice → x
x=(1*18)/30=0.6 cups of pineapple juice
According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
Solve by completing the square (Show all work)
x2 – 10x + 10 = 35
Please help!
Answer:
x=5+5√2; x=5-5√2
Step-by-step explanation:
To complete the square we need to turn part of the equation into a perfect square trinomial. Remember, in any equation we can do anything we like to the numbers as long as both sides stay equal.
First, let's subtract 10 from both sides.
x^2-10x=25
This does not factor, so we need to turn it into a perfect square trinomial by adding the quantity equal to (b/2)^2. In this case, (b/2)^2 is 25.
x^2−10x+25=25+25
IMPORTANT: You must keep the sides of the equation equal, so we added a 25 to the right side as well to keep the equation true.
From here we can factor, simplify and find our zeroes.
(x-5)(x-5)=50
(x-5)^2=50
x-5=±√50
x=5±√50
√50=5√2
So our final answer is:
x=5+5√2; x=5-5√2
HTH :)
What is the binary number for 14
Answer:
Step-by-step explanation:
should be 1110
Answer:
1110
Step-by-step explanation:
In a survey, a group of students were asked their favorite sport. Eighteen students chose “other” sports.
Answer:
22.5% Hope this helps
Step-by-step explanation:
Answer:
22.5%
Step-by-step explanation:
Write 24/25 as a decimal.
jules loses a golf ball
Answer:
Ok. I'm sorry Jules lost a golf ball. Is there a question?
Answer:
jus buy a new one
Step-by-step explanation:
they lost the golf ball so they need to buy a new one cuh
You are planning your vacation and trying to figure out the total number of miles you will be traveling on a round trip from Portland, Oregon to Denver, Colorado, and back to Portland, Oregon. The scale for the map you are consulting shows that 1 inch = 4 miles. Measuring, you find that you will be traveling 31412 inches for the one-way trip. What is the total number of miles you will be traveling during the entire round trip?
Answer:
31,417 miles i think I hope it will helpThe total number of miles you will be traveling for the entire round trip is 125650 miles.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
The question states that 1 inch = 4 miles. Therefore, if you multiply 31412 inches by 4, you will get the total number of miles you will be traveling for the round trip.
31412 × 4 = 125650
Therefore, the total number of miles you will be traveling for the entire round trip is 125650 miles.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ2
How many bottles did eric buy for his friends
Answer: It depends on how many friends Eric had, and how many bottles they wanted. I would be able to answer more if your were a little more specific with the details
Step-by-step explanation:
What is the slope of the line . For khan academy . Need answer immediately
Answer:
m = 2
Step-by-step explanation:
wich linear function has the same slope as tge one thatis reperswnted by the table?
Answer:
Answer: B
Step-by-step explanation: y=-1/5x+1/10
what is the slope and equation of a line perpendicular to the y-axis passing through the point (-3,8)
a) slope is 0 and the equation is y= -3
b) slope is undefined and the equation is x=8
c) the slope is undefined the equation is x=-3
d) the slope is 0 the equation is y=8
Answer:
D
Step-by-step explanation:
I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.
3. If s varies directly as (r + 1) and s = 8, when r = 3, calculate the value ofr when s = 20.
(4marks)
Answer:
When s = 20, r = 9
Step-by-step explanation:
Given,
s is directly proportional to (r + 1)
s = k(r + 1)
(k is the constant of proportionality)
When s = 8,
8 = k(3 + 1)
8 = k(4)
8 = 4k
8/4 = k
2 = k
When s = 20,
20 = 2(r + 1)
20 = 2r + 2
20 - 2 = 2r
18 = 2r
18/2 = r
9 = r
A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 1575 miles, and the sum of their fuel efficiencies was 55 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Answer:
Fuel efficiency of first car = 30 miles/gallon
Fuel efficiency of second car = 25 miles/gallon
Step-by-step explanation:
Given that:
Fuel consumed by first car = 40 gallons
Fuel consumed by second car = 15 gallons
Total distance drove by the two cars combined = 1575 miles
Sum of their fuel efficiencies = 55 miles/gallon
To find:
The fuel efficiencies of each of the cars = ?
Solution:
Fuel efficiency of a car is defined as the ratio of distance traveled in miles to the number of gallons used by the car.
Let the distance traveled by first car = [tex]x[/tex] miles
So, the distance traveled by other car = (1575 - [tex]x[/tex]) miles
Fuel efficiency of first car = [tex]\frac{x}{40}[/tex] miles/gallon
Fuel efficiency of second car = [tex]\frac{1575-x}{15}[/tex] miles/gallon
As per given question statement:
[tex]\frac{x}{40}+\frac{1575-x}{15}=55\\\Rightarrow 15x+1575\times 40-40x=55\times 40 \times 15\\\Rightarrow 25x=30000\\\Rightarrow x =1200\ miles[/tex]
Distance traveled by first car = 1200 miles
Fuel used by first car = 40 gallons
So, fuel efficiency of first car = [tex]\frac{1200}{40} = \bold{30\ miles/gallon}[/tex]
Distance traveled by second car = 1575 - 1200 = 375 miles
Fuel used by second car = 15 gallons
So, fuel efficiency of second car = [tex]\frac{375}{15} = \bold{25\ miles/gallon}[/tex]
The number of people who attended a concert on Friday was 34 the number of people who attended the same concert on Saturday. A total of 840 people attended the concert on those two days. How many people attended the concert on Saturday?
Answer:
8
the answer is 806
Step-by-step explanation:
840-36=806
"Taylor's Toys" produced 600 remote control cars in two colors. For blue cars they produced 60 more than 3 times as many orange cars. How many of the cars were blue????????? I really need this right noww pleassseee
Answer:
Remote Control Car Fast RC Cars Toys for 6-12 Years Old Boys,High Speed RC Truck Offroad Remote Control Truck RC Rock Crawler All Terrain RC Car Toys for Boys Kids Gift (Green) 3.6 out of 5 stars 141 More Buying Choices $14.62 (1 used offer)
Step-by-step explanation:
WILL GIVE BRAINLY
A trail begins at an elevation of –50 feet below sea level. The trail ends at an elevation of 287 feet above sea level. By how many feet does the elevation of the trail change from beginning to end? PLEASE EXPLAIN
Answer:
237 is how much it changed
Step-by-step explanation:
all you do is 287 - 50 thats ur answer
Write the slope intercept form of a line that passes through the given two points (-5,-11) (-2,1)
Answer: y=4x+9
Step-by-step explanation:
M= 1+11/-2+5= 12/3= 4
y=mx+b
1=4(-2)+b
1=-8+b
b=9
y=4x+9
Molly bought 2 pounds of jelly beans for
$2.99. How much would 7 pounds of jelly
beans cost?
(Round your answer to the tenths place.)
Answer:
10.5
Step-by-step explanation:
2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.
For the month of June, a music supply company is promoting the launch of its electronic music club by offering new members two options for downloading music.
Option #1: Annual club membership at a fee of $125 per year plus an option of prepaying for unlimited music downloads at a rate of $10 per month.
Option #2: Annual club membership at a fee of $50 per year plus an option of prepaying for music downloads at a rate of $1 per song.
You decide to join the electronic music club for one year, but aren’t sure which membership option is best suited for your music downloading needs. Review both options that the music supply company is offering for its new club members. Use the information provided to respond to the following prompts. When necessary, answer in complete sentences and include all calculations.
Write a function that best models the total cost of club membership plus downloads under option #1.
For membership option #1, calculate the total cost for one year of club membership and prepaid unlimited music downloads.
Write a function that best models the total cost of club membership plus downloads under option #2
Calculate the maximum number of music downloads that you will have with one year of club membership under option #2 for the same annual cost of a membership with unlimited downloads.
Over the past year, you downloaded an average of 14 songs per month. Assuming that for the next year, you continue to download music at the same rate per month, which membership option is most cost effective?
Answer:
six points for all this ? HAHAHAHAHA LFMAO
Step-by-step explanation:
Arrange each set of real numbers in increasing order.
please help me
Researchers collected data on calories per serving for 77 brands of breakfast cereal. The histogram displays the data
30
25-
20
1
Frequency
15
What is the approximate center of this distribution?
The center of the distribution is between 120 and 130
calories.
The center of the distribution is between 90 and 100
calories.
The center of the distribution is between 110 and 120
calories.
The center of the distribution is between 80 and
90 calories.
The center of the distribution is between 130 and 140
calories.
10
-
50 60 70 80 90 100 110 120 130 140 150 160
Calories
Histogram attached
Answer and explanation:
To find the center of the distribution, we find the mean of the distribution.
Mean= sum of all values/number of values
To calculate the mean of the distribution using the histogram(attached) with given frequencies, we find the mid point of each class and multiply by its frequency to get the sum of the values(estimated) and then divide by the number of values(sum of the frequencies of the classes)
midpoint of 50-60=50+60/2=55
midpoint of 70-80=150/2= 75
midpoint of 80-90=170/2=85
midpoint of 90-100=190/2=95
midpoint of 100-110=210/2=105
Midpoint of 110-120=230/2=115
Midpoint of 120-130=250/2=125
Midpoint of 130-140=270/2=135
Midpoint of 140-150=290/2=145
Midpoint of 150-160=310/2=155
Sum of the values= 55*frequency= 55*3+75* 2+85*1+95*7+105*17+115*29+125*10+
135*2+145*3+155*3
Sum of all values =8605
Number of values= 3+2+1+7+17+29+10+2+3+3=77
Mean= 8605/77= 111.753
Therefore the center of the distribution is between 110 and 120 calories.
geometry work help find the value of x
Answer:
110⁰!!
Step-by-step explanation:
so this is an isosceles triangle! the base angles are always equal to each other. since 35 is a vertical angle, the base angle vertical to that would be 35. and since base angles ALWAYS equal each other, they would both be 35.
35+35=70, 70 is the base angles added up
180-70=110
c=110
I NEED THIS FAST!
You have two fractions with denominators of 3 and 10. What number should you use as the least common denominator if you want to add them?
9514 1404 393
Answer:
30
Step-by-step explanation:
The least common denominator is the least common multiple of the denominators.
Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:
LCD = 3×10 = 30
The least common denominator is 30.
__
If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.
what's the answer to this math picture please?
Answer:
m<BGC = 145°
Step-by-step explanation:
<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:
m<AGC = m<DGB
[tex] 3x + 20 = 8x - 5 [/tex] (substitution)
Collect like terms
[tex] 3x - 8x = -20 - 5 [/tex]
[tex] -5x = -25 [/tex]
Divide both sides by -5
x = 5
m<BGC = 180 - (m<AGC) (linear pair)
m<BGC = 180 - (3x + 20)
Plug in the value of x
m<BGC = 180 - (3(5) + 20) = 180 - 35
m<BGC = 145°
By Factoring And Using Quadratic Formula x raise to two minus 10x is equals to negative 21
Answer:
[tex]x =3[/tex] or [tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 10x = -21[/tex]
Required
Solve by factoring & quadratic formula
By Factoring:
[tex]x^2 - 10x = -21[/tex]
Equate to 0
[tex]x^2 - 10x +21 = 0[/tex]
Expand:
[tex]x^2 - 7x -3x+21 = 0[/tex]
Factorize:
[tex]x(x-7)-3(x-7) = 0[/tex]
[tex](x-3)(x-7) = 0[/tex]
[tex]x -3 = 0[/tex] or [tex]x - 7 = 0[/tex]
[tex]x =3[/tex] or [tex]x = 7[/tex]
By quadratic
[tex]x^2 - 10x = -21[/tex]
Equate to 0
[tex]x^2 - 10x +21 = 0[/tex]
For
[tex]ax^2 + bx + c = 0[/tex]
x is solved using:
[tex]x = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
where
[tex]a = 1[/tex]; [tex]b = -10[/tex]; [tex]c = 21[/tex]
So:
[tex]x = \frac{-(-10)\±\sqrt{(-10)^2-4*1*21}}{2*1}[/tex]
[tex]x = \frac{10\±\sqrt{100-84}}{2}[/tex]
[tex]x = \frac{10\±\sqrt{16}}{2}[/tex]
[tex]x = \frac{10\±4}{2}[/tex]
Split
[tex]x = \frac{10+4}{2}[/tex] or [tex]x = \frac{10-4}{2}[/tex]
[tex]x = \frac{14}{2}[/tex] or [tex]x = \frac{6}{2}[/tex]
[tex]x = 7[/tex] or [tex]x =3[/tex]
What is the volume of the box when x=3
Answer:
13
Step-by-step explanation:
Answer:
yes it is 13 i think
Step-by-step explanation:
lol i hope this is it
#1: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#).*
5x + 3y = 1
-5x – 7y = 31
The given linear system is:
[tex]\displaystyle \left \{ {{5x+3y=1} \atop {-5x-7y=31}} \right.[/tex]
Linear systems can be solved using either elimination or substitution. However, the question is asking to solve using elimination, so I will use that method.
When eliminating, you can either eliminate x or y. In this system, x is much easier to eliminate. The x variable in the first equation is 5x, and in the second equation, it is -5x. Since 5 and -5 cancel each other out, you don't need to do anything other than add.
[tex]5x+3y=1\\-5x-7y=31[/tex]
[tex]\displaystyle 3y-7y=1+31\\-4y=32[/tex]
Lastly, you need to leave the variable y alone. The variable is currently -4y or -4 times y. To remove it, you need to do the opposite of it, which is dividing by -4.
Divide both sides by -4:
[tex]\displaystyle\frac{-4y}{-4} =\frac{32}{-4}[/tex]
[tex]\displaystyle y=-8[/tex]
Now that you have the value of y, substitute it into one of the equations to find x. I will be substituting it into the first equation.
[tex]\displaystyle 5x+3y=1 \rightarrow 5x+3(-8)=1[/tex]
Open the parentheses and multiply:
[tex]5x-24=1[/tex]
Move 24 to the other side to leave the variable alone:
[tex]5x-24+24=1+24[/tex]
You will be adding since you're "removing" it by doing the opposite of it.
[tex]5x=25[/tex]
Lastly, divide both sides by 5 to leave x alone.
[tex]\displaystyle \frac{5x}{5} =\frac{25}{5}[/tex]
[tex]x=5[/tex]
[tex]\displaystyle (x,y) \rightarrow (5, -8)[/tex]
The answer is (5, -8).
1/4 of a pizza was broccoli and half was mushroom and 1/4 was three cheeses. George ate 1/3 of the broccoli part and 1/3 of the mushroom part and 1/2 of the 3 cheese part. How much of the total pizza did he eat?
Nine times a number, diminished by 4, is 95
Answer:
the number is 11
Step-by-step explanation:
"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95
Add 4 on each side: 9x = 99
Divide each side by 9: x = 11
I hope this helped, please mark Brainliest, thank you!
Answer:
Step-by-step explanation:
Let a number be X
So
Nine times a number, diminished by 4, is 95
9x-4=95
9x=95+4
9x=99
X=99/9
X=11
So the number is 11