Answer:
Step-by-step explanation:
Let x represent the number of buttons on shirts and y represent the number of buttons on jackets.
If 36 shirts and 42 jackets contain 842 buttons. This implies:
36x + 42y = 842 (1)
If 66 shirts and 77 jackets contain 137 buttons. This implies:
66x + 77y = 137 (2)
If you take the first equation: 36x + 42y = 842 and isolate the x, then you will have x = (842 - 42y) / 36
If you substitute x into the second equation:
66((842-42y)/36) + 77y = 137
→ 11(842-42y)/6 + 77y = 137
→ 11(842-42y) + 6(77y) = 137(6)
→ 9262 - 462y + 462y = 822
→ 9262 = 822 which reveals that the equations do not have a solution
A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours. A)Express the total distance traveled in terms of x
Answer:
[tex]12.5x-285[/tex].
Step-by-step explanation:
We are told that a man drove x miles per hour for 3 hours, so he traveled 3x miles in three hours.
We are also told that he drove (2x-60) miles per hour for the next 4.75 hours. So The distance traveled by in next 4.75 hours will be:
[tex]4.75\cdot (2x-60)=9.5x-285[/tex]
To find the total distance traveled by man we will add distances traveled by him in first 3 hours and next 4.75 hours.
[tex]\text{The total distance traveled}=3x+9.5x-285[/tex]
Upon combining like terms we will get,
[tex]\text{The total distance traveled}=(3+9.5)x-285[/tex]
[tex]\text{The total distance traveled}=12.5x-285[/tex]
Therefore, the total distance traveled in terms of x will be [tex]12.5x-285[/tex].
The total distance traveled in terms of x is the sum of the distances for each part of the trip: 3x miles for the first part and 9.5x - 285 miles for the second part, equating to a total distance of 12.5x - 285 miles.
To express the total distance traveled in terms of x, we need to use the distance formula d = vt, which states that distance (d) is equal to velocity (v) multiplied by time (t).
For the first part of the trip, the man drove at x miles per hour for 3 hours. Therefore, the distance for this part is:
d1 = x miles/hour * 3 hours = 3x miles
For the second part of the trip, he drove at (2x-60) miles per hour for 4.75 hours. So, the distance for this part is:
d2 = (2x-60 miles/hour) * 4.75 hours = 9.5x - 285 miles
To find the total distance traveled, we add the two distances together:
Total Distance = d1 + d2 = 3x miles + 9.5x - 285 miles = 12.5x - 285 miles
The length of a rectangle it twice it's within. If the perimeter of the rectangle is 30 cm, find its area.
w - width
2w - length (l)
30 cm - perimeter
w + w + 2w + 2w = 6w - perimeter
The equation:
6w = 30 divide both sides by 6
w = 5 cm
2w = 2(5) = 10
l = 10 cm
The area of a rectangle: A = lw.
Substitute:
A = (5)(10) = 50
Answer: The area is 50cm²Please help me out!!!!!!!!!!
than anwser is 22% or 0.22
It costs 3.24 for a pack of 12 pens. Find the unit price in dollars per pen. Round your answer to the nearest cent
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website.The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription. How much money will Adriano's online business earn this month?
Answer:
Adriano's this month earning is $1150
Step-by-step explanation:
Adriano's existing customers =200
Every customer Pays subscription fee = $5 per month
This month number of customers joined =40
And number of number of customers cancelled subscription =10
So this month addition of new customers = 40-10 =30
Therefore total numbers of subscribers =200+30 =230
And money earned this month = 230× $5
= $1150
What is the equation of a line that is perpendicular to 4x-3y=12 and passes through (-8,1)?
Answer:
y=-(3/4)x-5
Step-by-step explanation:
First we must write our equation in slope intercept form:
[tex]y=mx+b[/tex]
Where m is slope and b is the y-intercept.
[tex]4x-3y=12\\\\-3y=-4x+12\\\\y=\frac{4}{3}x-4[/tex]
Now we will find a line that is perpendicular to [tex]y=\frac{4}{3}x-4[/tex]
To do this we will get the negative inverse of our original slope which is 4/3 and the negative inverse is: [tex]-\frac{3}{4}[/tex].
Now we must determine our y-intercept for the perpendicular line by using the slope calculated above and plugging it in to the following equation:
[tex]y=m(x-x_1)+y_1[/tex]
Where m is the slope, x1 = -8 and y1=1 and so:
[tex]y=-\frac{3}{4}(x-(-8))+1\\\\y=-\frac{3}{4}x-\frac{24}{4}+1\\\\y=-\frac{3}{4}x-6+1\\\\y=-\frac{3}{4}x-5[/tex]
The top three corn producers in the world - country A, country B, and country C - grew a total of about 664 million metric tons (MT) of corn in 2014. The country A produced 82 million MT more than the combined production of country B and country C. Country B produced 177 million MT more than country C. Find the number of metric tons of corn produced by each country.
Answer:
Number of metric tons of corn produced by country A = 373 million MT
Number of metric tons of corn produced by country B = 234 million MT
Number of metric tons of corn produced by country C = 57 million MT
Step-by-step explanation:
From the given information we have
A+B+C = 664 ____equation(1)
A = B+C+82 ____equation(2)
B = C + 177 ____equation(3)
1) Plugging in B=C+177 into equation 2, we get
A = B+C+82
=> A = (C+177) + C +82
=> A = C+177+C+82
=> A = C +C +177+82
=> A= 2C + 259 ____let it be equation (4)
2) Plugging in A=2C+259 from equation 4 and B=C+177 from equation 3 into the equation 1, we get
A+B+C = 664
=> (2C+259)+(C+177)+C = 664
=> 2C+C+C+259+177 = 664
=> 4C + 436 = 664
3) Subtracting 436 from both the sides, we have
4C + 436 - 436 = 664 - 436
4) Cancelling out +436 and -436 from the left side, we get
4C = 228
5) Dividing both the sides by 4, we get
[tex]\frac{4C}{4} = \frac{228}{4}[/tex]
6) Cancelling out the 4's from the left, we get
C = 57
7) Plugging in C=57 into the equation 3, we get
B = C + 177
=> B = 57+177
=> B = 234
8) Plugging in B=234 and C=57 into the equation 1, we get
A+B+C = 664
=> A+234+57=664
=> A + 291= 664
9) Subtracting 291 from both the sides, we get
A + 291 - 291 = 664 - 291
10) Cancelling out +291 and -291 from the left side, we get
A = 373
So, A = 373, B= 234, C=57
Which inequality is true?
Answer:
∠6 > ∠3 is TRUE.
Step-by-step explanation:
We know that acute angle is less than 90 degree while obtuse angle is more than 90 degree. By looking at the given angles, we can easily determine which angle is obtuse or acute. then we can decide which angle is bigger to find the answer.
∠10 > ∠7
FALSE;
Because∠10 is acute while ∠7 is obtuse.
------------
∠6 > ∠3
TRUE;
Because∠3 is acute while ∠6 is obtuse.
------------
∠9 > ∠11
FALSE;
Because∠9 is acute while ∠11 is obtuse.
------------
∠8 > ∠11
FALSE;
Because∠8 is acute while ∠11 is obtuse.
------------
In 1992, the population in a town was 8,000 people. In 1997, the population was 14,000. What was the percent increase in the population?
Answer:
75%
Step-by-step explanation:
To calculate the percent increase or decrease, we:
Find the difference between the new value and the originalDivide the number by the originalMultiply by 100 and the % symbol.The population of the town originally had 8,000 in 1992. In 1997, the population is 14,000.
14000-8000=60006000/8000=0.750.75(100)=75%The towns population increase by 75%
To find the percent increase in the population from 1992 to 1997, subtract the initial population from the final population, divide by the initial population, and multiply by 100, resulting in a 75% increase.
To calculate the percent increase in the population of the town from 1992 to 1997, follow these steps:
Subtract the initial population in 1992 from the final population in 1997 to find the absolute increase: 14,000 - 8,000 = 6,000 people.Divide the absolute increase by the initial population to get the increase relative to the initial population: 6,000 \/ 8,000 = 0.75.Multiply the result by 100 to convert it to a percentage: 0.75 * 100 = 75%.Therefore, the percent increase in the population from 1992 to 1997 was 75%.
A runner, training for a competition, ran on a track every day for 10 weeks. The first week he ran 8 kilometers each day of the week. The second week he increased his daily run by one lap (400 meters). The third week he increased again his daily run by one lap and so on. What is total distance he ran in 10 weeks?
Answer:
Total = 686000 meters for 10 weeks 7 days a week.
Step-by-step explanation:
Let's solve this by doing the increase on just 1 training day per week. Then we can find the grand total for 7 days a week by multiplying by 7
a = 8000
n = 10
d = 400
Sum = (a + L)*n/2
L = a + (n - 1)*dL = 8000 + (10 - 1)*400L = 8000 + 9*400L = 8000 + 3600L = 11600 metersSum = (8000 + 11600)*10/2
Sum = 19600 * 10/2
Sum = 98000 meters.
This total represents 1 training day a week.
The total amount is 7 times this figure.
Total = 7 * 98000 = 686 000 meters.
Ok this isnt a math question but i still need an answer y when i go on this website WHY wont it just give me the answer after i type it in how am i supposed to check my work this is the only website i have FOUND that has this question answers NOW PLEASE OR I WILL HAVE MY VERY RICH FATHER AND MOTHER SUE THIS COMPANY
HELP!!!!!!!!!!!!!!! I think its option 1 and 4 but I cant tell!
Answer:
3 and 4
Step-by-step explanation:
We apply 2 transformations here.
f(x) ----> f(x + a) - this is a shift of a units to the left.
f(x) ---- > f(x) + a - this is a shift of a units vertically up.
x - 1 ----> x + 2 shifts it 3 units to the left.
3 ---->5 shifts it 2 units up.
Answer:
Options 3 & 4
Step-by-step explanation:
Recall, an exponential function has the basic form
[tex]y=ab^{x+h}+k[/tex].
a produces a vertical stretch or shrink b is the ratex is the input valueh shifts the function left and right opposite to the sign of itk shifts the function up and downThus [tex]f(x)=2^{x-1} +3[/tex] is shifted to the right 1 unit and up 3 units.\\
This means that [tex]g(x)=2^{x+2}+5[/tex] is shifted to the left 2 units and up five units.
Remember it had already been shifted up 3 so, moving up to 5 is a movement of 2 units. Option 3 is correct.
Also, remember the function started 1 unit to the right and then shifted left to 2. This would be 1--2=3 units in total were shift from f(x) to g(x). This makes Option 4 correct too.
Which expression has a solution of 36, if w = 9?
4w
5w
6w
7w
Over the course of a year, a company goes from 115 employees to 124 employees. What equation do you use to solve this equation
Answer:
115+9=124 employees
Justin and Mike are learning how to ski. Justin falls down every 30 feet. Mike falls down every 25 feet. If they both start skiing from the same point, how far is the first point where they will both fall down?
Answer:
150 feet
Step-by-step explanation:
in order to find the solution we have to take the L.C.M of 25 and 30
L.C.M of 25 and 30 is 150
so after 150 feet , they will both fall down
Answer: They will both fall down after 150 feet.
Step-by-step explanation:
Hi, to answer this question we have to find the least common multiple (LCM)
of 30 and 25:
To obtain the multiple of a number we have to multiply that number by another number (not zero) in the multiplication table order (by 1,by 2,by 3,etc)
Multiples of 30:30,60,90,120,150
Multiples of 2525,50,75,100,125,150
The LCM is a number that appears on both lists, and is the smallest.
They will both fall down after 150 feet.
Feel free to ask for more if needed or if you did not understand something.
Which inequality corresponds with the graph?
A) x > -2
B) x < -2
C) x ≤ -2
D) x ≥ -2
Answer:
D
Step-by-step explanation:
An inequality is an expression which means more than one number is a solution. We graph the solutions on a number line to show all possible values. We graph using circles and arrows.
Equal to and less/greater than are graphed with filled in circles on the value.Only less/greater than (not equal to) are graphed with open (not filled in) circles on the value.We draw an arrow the direction the solutions satisfy the inequality. Generally this is the direction the inequality itself points.This is a filled in circle on -2 so this is [tex]\leq or \geq[/tex]. This means only answers C and D are options.
Answer D points to the right.
Answer:
The answer is D
Step-by-step explanation:
MrsStrong was correct!!!! Thank you
Owen and his family will go camping in 8 weeks. There are 7 days in 1 week.How many days are in 8 weeks?
Does anyone know the answer to this ?? Could you pllease help ? Thank you so much !
Answers:
a) Choice D -- Graph is discrete due to b only taking on whole number values (b = 0, b = 1, b = 2, etc)
see the attached image below for the graph
---------
b) She bought 9 basketballs
====================================================
Explanation for part A
To make a table, we simply replace every copy of 'b' with a positive whole number. So for instance, replace b with 0 and we get
a = 18*b = 18*0 = 0
Therefore b = 0 leads to a = 0 meaning buying 0 basketballs cost the coach $0
If b = 1, then a = 18 because
a = 18*b = 18*1 = 18
So 1 basketball costs $18 as expected
2 basketballs cost a total of $36 and we see that as shown below
a = 18*b = 18*2 = 36
This pattern continues however long as you need. Each row of the table represents an ordered pair of (b,a) values. Unfortunately your teacher made 'b' the independent variable meaning that it must come first even if the temptation is to put 'a' first in the ordered pair due to alphabetical order.
To graph this function, we just plot the points from the table. Each row is an ordered pair so it represents 1 point. We do NOT connect the dots with a straight line. Why not? Because we can't buy half a basketball, so the point with b = 1/2 = 0.5 wouldn't make any sense, so it's no use to us. The fact we have disconnected points as the graph shows visually tells us that we have a discrete graph. Connecting the dots would make the graph continuous.
Once again, have a look at the image attached below for the table and graph.
-----------------------
Explanation for part B
The equation in part A helps us find the pre-tax total cost. If that cost is $162, then a = 162 and b is...
a = 18*b
162 = 18*b
18*b = 162
18*b/18 = 162/18
b = 9
So she bought 9 basketballs
This is represented as point J(9,162) on the graph below.
Lynn has 8.58 in quarters and pennies. If she has eight times as many pennies as quarters, how many of each does she have
Answer:
10.82 is the answer
Step-by-step explanation:
BRAINLIEST AND 60 POINTS!!!!!!!
1.) A coin is flipped. What is the theoretical probability that the coin lands on tails?
2.) A six sided number cube is rolled. What is the theoretical probability that a number greater than 4 is rolled?
3.) 2 six-sided number cubes are rolled. What is the theoretical probability that the sum of the number cubes is 8?
Answer:
1. P ( tails) = 1/2
2.P (number greater than 4) = 1/3
3. P (2 die sum to 8) = 5/36
Step-by-step explanation:
A coin only has 2 possibilities, head or tails, and they are equally likely
So the probability of getting a tails is 1/2
P ( tails) = 1/2
A die has the numbers 1,2,3,4,5,6 . There are 2 numbers greater than 4. They are 5 and 6. So there are 2 of the 6 choices that work.
P (number greater than 4) = 2/6 = 1/3
See the dice chart
There are 36 possibilities when you roll the die.
There are 5 that sum to 8
P (2 die sum to 8) = 5/36
Answer:
Guy above is correct
Step-by-step explanation:
A box contains 10 red pens and 10 black pens. Which is more likely , that you will pick a red pen or a black pen out of the box?
Answer:
it is a fifty fifty chance
Step-by-step explanation:
if they are the same number it is always a fifty fifty chance
Find all real numbers X such that 4x+2≥14 and -21x+1<22
[tex]\begin{cases}4x+2\ge14\\-21x+1<22\end{cases}[/tex]
In the first inequality, we have
[tex]4x+2\ge14\implies4x\ge12\implies x\ge3[/tex]
In the second, we have
[tex]-21x+1<22\implies-21x<21\implies x>-1[/tex]
The solution to the system is the intersection of these two intervals, which would be [tex]x\ge3[/tex].
Saul in third in line. Enid is last in line. There are 3 children between them. What position is Enid in line?
The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car, it takes 2.25 hours less to cover the same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?
HELP PLEASE
Answer:
Motorcycle will complete the 540 mile trip in 11.25 hr.
The car will complete it 2.25 hours less, or 9 hours.
The speed of the car therefore is 540/9 = 60 mph.
60t + 48t = 540
108t = 540
t = 5
So they will meet in 5 hours, after which time the motorcycle will have traveled 48*5 = 240 miles
and the car will have traveled 60*5 = 300 miles.
Hope this help
Step-by-step explanation:
Angles 1 and 2 are supplementary.
Which equation represents the relationship between their measures?l?
Answer:
m∡1 + m∡2 = 180
Step-by-step explanation:
m∡1 + m∡2 = 180
This is because supplementary means they add up to 180°.
Plz help me on question 30 plz
Answer:
5
Step-by-step explanation:
D=[tex]\sqrt{(8-4)^2+(1-4)^2}[/tex]
D=[tex]\sqrt{4^2+(-3)^2}[/tex]
D=[tex]\sqrt{16+9}[/tex]
D=[tex]\sqrt{25\\}[/tex]
D=5
Answer: B
Step-by-step explanation:
Use the distance formula: [tex]d = \sqrt{(x_2 -x_1)^{2}+(y_2-y_1)^{2}}[/tex]
[tex]d_{PQ} = \sqrt{(8-4)^{2}+(1-4)^{2}}[/tex]
[tex] = \sqrt{(4)^{2}+(-3)^{2}}[/tex]
[tex] = \sqrt{16+9}[/tex]
[tex] = \sqrt{25}[/tex]
[tex] = 5[/tex]
between a mixture and substance which can be separated into components & what are the two ways?
Answer:
Step-by-step explanation:
Introduction:
Mixtures are not unique to chemistry; we encounter them on a daily basis. The food and drinks
we consume, the fuel we use in our vehicles, building materials, soil, air, and ordinary water are
all mixtures. In fact, very few common materials in the world are pure. Any material made up
of two or more substances that are not chemically combined is a mixture. It is not difficult to
separate the components of a mixture if you take advantage of differences in physical properties
of the components.
1. Sublimation. Some substances change directly from a solid to a gas when they
are heated. The reverse process, when the vapor goes back to the solid phase
without a liquid state in between, is called deposition. Some solids which sublime
are iodine, caffeine, and paradichlorobenzene (mothballs). Dry ice sublimes also.
2 Extraction. This uses a solvent to selectively dissolve one component of the
solid mixture. With this technique, a soluble substance can be separated from an
insoluble substance.
3. Decantation. This separates a liquid from insoluble solid sediment by carefully
pouring the liquid from the solid without disturbing the solid.
4. Filtration. This separates a solid from a liquid through the use of a porous
material as a filter. Paper, charcoal, or sand can serve as a filter. These materials
trap the solid but let the liquid pass through (see diagram in Procedure section).
5. Evaporation. This is the process of heating a mixture in order to remove a
liquid that evaporates easily, leaving a dry residue.
Pure substances are further broken down into elements and compounds. Mixtures are physically combined structures that can be separated into their original components. A chemical substance is composed of one type of atom or molecule.
I need HELP ASAP
Mrs. Hool is planning on grading tests over the weekend. The number of tests that she has left to grade after each hour can be modeled by the equation = 78 − 15ℎ, where is the number of tests left to grade and ℎ is the number of hours she has worked on grading. What is the meaning of the values 78 and −15 in this equation?
Answer:
-15 is how many tests per hour i think, and 78 is how many tests total
Step-by-step explanation:
= 78 − 15ℎ
1 hour would be
78-(15x1)=63
2 hours would be
78-(15x2)=48
and so on.
Final answer:
The value 78 represents the initial number of tests Mrs. Hool has, while -15 represents the rate at which she grades tests per hour.
Explanation:
The values 78 and -15 in the equation represent the initial number of tests that Mrs. Hool has and the rate at which she grades the tests per hour, respectively.
The value 78 is the initial number of tests that Mrs. Hool has left to grade. This means that when she starts grading, she has 78 tests remaining.
The value -15 represents the rate at which Mrs. Hool grades the tests per hour. It indicates that for every hour she works on grading, she is able to complete 15 fewer tests than what she started with. In other words, the number of tests she has left decreases by 15 for every hour she works.
Jack wants to buy a Ford F150 Supercab with a base MSRP of $28,882.00. He wants the V8 Engine for an extra $1,379.00 and 4wd for an extra $3,215.00. What is the total price of the truck with the options Jack wants?
Answer:
$33,476.00
Step-by-step explanation:
Just add them all together
Write the equation of the line,in slope-intercept form, that has a slope of -2 and goes through the point (1,1)
Answer:
The equation of the line would be y = -2x + 3
Step-by-step explanation:
In order to find the equation of the line, start by using point-slope form with the known information.
y - y1 = m(x -x1)
y - 1 = -2(x - 1)
Now that we have this, solve for y.
y - 1 = -2x + 2
y = -2x + 3