Answer:
The equation is 2x = 5y
Step-by-step explanation:
From the question, we are told that what is asked is 2/5 of the price for which each of the items are bought
y is the asking price, x is the original
Mathematically,
that would be;
y = 2/5 * x
y = 2x/5
Thus;
2x = 5y
13x -7 =12 (x - 1) + x + 5
is this no solution, infinite, or no solution
Answer:
3
Step-by-step explanation:
The perimeter of a football field is 920 feet. The width is 60 feet more than one-third of the length. What are the dimensions of a football field?
Given:
Perimeter of a football field = 920 feet.
The width is 60 feet more than one-third of the length.
To find:
The dimensions of a football field.
Solution:
Let the length of the field be x.
Then, width = [tex]\dfrac{1}{3}x+60[/tex]
We know that,
[tex]Perimeter = 2( length + width)[/tex]
[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]
[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]
[tex]920 =\dfrac{8}{3}x+120[/tex]
Subtract both sides by 120.
[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]
[tex]800 =\dfrac{8}{3}x[/tex]
Multiply both sides by 3.
[tex]2400 =8x[/tex]
Divide both sides by 8.
[tex]300 =x[/tex]
Now,
[tex]Length = 300\text{ feet}[/tex]
[tex]Width=\dfrac{1}{3}(300)+60[/tex]
[tex]Width=100+60[/tex]
[tex]Width=160\text{ feet}[/tex]
Therefore, the length and width of the football field are 300 feet and 160 feet respectively.
The product of 4 and the sum of a number x and 8
Answer:
8(x+3)
Explanation:
"The product of 8 and" means 8 is going to be multiplied times another quantity. "...the sum of a number x and 3" means that 8 is going to be multiplied times (x+3).
This is represented by 8×(x+3), which simplifies to 8(x+3).
A jar contains n nickels and d dimes. There is a total of 200 coins in the jar. The value of the coins is $14.00. How many nickels and how many dimes are in the jar?
Answer: There are 80 dimes and 120 nickels.
Step-by-step explanation: Now check to make sure it's right. How much is 120 nickels worth? How much is 80 dimes?
In a certain chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 468 of copper. How many grams of zinc does it contain?
Answer:
The answer is 144
Step-by-step explanation:
The midpoint of a segment with endpoint (8,a) and (b,4) is (-1,-1)
What’s the value of a and b
Answer choices is
A. 10 b. 6
A.6 b.10
A. -6 b. -10
A. -10 b.-6
Answer:
(-10,-6)
Step-by-step explanation:
(8 + b) / 2 = - 1
(8 + b) = - 1 * 2
8 + b = - 2
b+8-8 = -2 - 8
b = - 10
=====================
(a + 4)/2 = -1
(a + 4) = - 2
a + 4 = -2
a + 4-4 = - 2 - 4
a = - 6
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? Use the rate table to solve the proportion.
StartFraction 6 over 9.75 EndFraction = StartFraction 24 over c EndFraction
It would cost $ to serve 24 people.
Answer:
$39
Step-by-step explanation:
Given parameters:
Cost of ingredient = $9.75
Number of people = 6 people
Unknown:
How much will it cost to serve 24 people = ?
Solution:
To solve this problem, let us find the rate of each recipe per person;
Rate = [tex]\frac{Number of people }{Cost of ingredient}[/tex]
Insert parameters and solve;
Rate = [tex]\frac{6}{9.75}[/tex] = 0.62people/$
For 24 people, it will cost;
Cost of ingredient = [tex]\frac{Number of people }{rate}[/tex]
Cost of ingredient = [tex]\frac{24}{0.62}[/tex] = $39
Answer:
39
Step-by-step explanation:
edu asinment 100 % no flex
Karen is saving money to buy a game. So far she has saved $20 , which is one-half of the total cost of the game. How much does the game cost?
Answer:
$40
Step-by-step explanation:
20x2=40
1. g(x) = 4x^2 + 34x
2. p(x)= -x^2-10
through: (-1,2), slope=3
Answer:
y=3x+5
Point-slope form:y−2=3⋅(x+1)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula
y−y1=m(x−x1)
Solve the equation.
y + 6 = -3y + 26
Oy= -8
O y = -5
O y = 5
Oy = 8
The solution to the equation is y = 5.
Therefore, the correct answer is "O y = 5."
Option C.
Here,
Let's solve the equation step by step to find the value of y:
Combine the y terms on the left side of the equation:
y + 3y + 6 = 26
Combine the y terms on the left side of the equation:
4y + 6 = 26
Move the constant term to the other side of the equation:
4y = 26 - 6
Simplify the right side:
4y = 20
Now, solve for y by dividing both sides of the equation by 4:
y = 20 / 4
y = 5
So, the solution to the equation is y = 5.
Therefore, the correct answer is "O y = 5."
Option C.
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What would happen to the product in the following problem:
25×11/11
A.The product will increase
B.The product will decrease
C.the product will stay the same
Tamara has completed 60% of her practice time for the track meet. if she is expected to practice for 18 h, how long has she already practiced?
plz explain if possible.
Answer:
a lot
Step-by-step explanation:
Help me solve this problem please
Answer:
y=-5x thats it so ype it in ir whatevet
2) La masse d’une mère ours est le quadruple de celui de son petit. Ensemble ils pèsent 350 kg. Quelle est la masse de l’ourson?
Answer:
sorry, I dont speak spanish. I dropped it.
Step-by-step explanation:
Sorry
What is 1.3 as a fraction
Answer:
1.3 is pronounced 1 and 3 tenths so the fraction would be 1 3/10
Step-by-step explanation:
Hope this helps
PLEASE ANSWER QUICKLY
Find the value of f(-142) for the function below.
f(x) = -0.2(x + 223)
A.
251.4
B.
-186.6
C.
81
D.
-16.2
A band is planning a concert at a local theater. The graph below shows the ticket sales per hour.
What is the slope of the line shown in the graph?
A.
-400
B.
-250
C.
-2,000
D.
-1,500
Answer:
i know its c
Step-by-step explanation:
i had this question yesterday
Answer:
the slope is -400
Step-by-step explanation:
In order to find the slope, we must use the slope equation
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
where it was considerated 2 points of the line, i.e.,
(x_1,y_1) and (x_2,y_2)
In this case, we observe that there are 2 "easy" points,
(x_1,y_1)=(0,4000) and
(x_2, y_2)=(10,0)
By substituying these point in the slope equation, one has
m=[tex]\frac{0-4000}{10-0}[/tex]
m=[tex]\frac{-4000}{-10}[/tex]
Hence, m=-400.
What is the slope and y-intercept of the graph?
Slope:
y-intercept:
Shen runs each lap in 5 minutes. He will run at most 45 minutes today. What are the possible numbers of laps he will run today? Use n for the number of laps he will run today.
Answer: The possible numbers of laps he will run today = 9
Step-by-step explanation:
Let [tex]n[/tex] = number of laps he will run today.
Given: Time taken for each lap = 5 minutes
Time taken for [tex]n[/tex] laps =[tex]5n[/tex] minutes
If he runs at most 45 minutes, then
[tex]5n\leq45[/tex]
Divide both sides by 5 , we get
[tex]n\leq9[/tex]
Hence, the possible numbers of laps he will run today = 9
Use the inequalities to describe the shaded area on the grid
Answer:
x≥-2
y<3
y≥x+3
Step-by-step explanation:
For x≥-2 the line is passing through -2 on the X axis
For y<3 the dotted line is passing through 3 on the y axis and as it is dotted it is just less than
For y≥x+3 the line is passing through -3 on the x axis and 3 on the y axis so it must be y=x+3. Then you apply the inequality so it becomes y≥x+3
Hope it helps :)
The inequalities to describe the shaded area on the grid are
[tex]\rm \bold {x\geq -2}\\\bold{y<3}\\\\bold{y \geq\ x+3}[/tex]
The shaded area of the grid is surrounded by three lines the equations of all three lines are given as below in form of inequalities.
For a solid line the " equality" is included but for a dashed line " equality" is not included.
x ≥ -2
y < 3
The equation of third line can be found out by writing standard form of straight line
[tex]\rm y = mx +c \\m = Slope \;of\; the\; line\\c = y\; axis \; intercept \; value[/tex]
As we can observe from the figure that the line passes through (0,3) and (-3,0) and hence we write the equation of line as
[tex]\rm y = (3-0) /(0-(-3)) ( x+3) \\y = 1\times x + 3\\y = x+3 \\So \; the\; inequality\; can \; be\; written\; as\\y\geq x+3[/tex]
Since the area above the line y = x+3 is of our concern hence greater than equal to sign is used.
So the inequality for third line is
[tex]\rm\bold{ {y\geq x+3}}[/tex]
The inequalities to describe the shaded area on the grid
[tex]\rm \bold {x\geq -2}\\\bold{y<3}\\\\bold{y \geq\ x+3}[/tex]
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Explain how to use the distributive property to find an expression that is equivalent to 20 + 16
Answer:
What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.
Either:
4(5+4) Or
2(10+8)
Step-by-step explanation:
7 freshmen, 9 sophomores, 8 juniors, and 8 seniors are eligible to be on a committee. In how many ways can a dance committee of 14 students be chosen? In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors.
Answer:
[tex]Number\ of\ Committee = 6914880\ ways[/tex]
Step-by-step explanation:
Given
Total:
[tex]Freshmen= 7\\ Sophomores = 8\\ Juniors = 8\\ Seniors = 8[/tex]
Selection
[tex]Freshmen= 2\\ Sophomores = 3\\ Juniors = 4\\ Seniors = 5[/tex]
Required
Determine the number of selection
To do this, we make use of combination formula:
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
For Freshmen, we have:
[tex]n = 7; r = 2[/tex]
[tex]^7C_2 = \frac{7!}{(7-2)!2!}[/tex]
[tex]^7C_2 = \frac{7!}{5!2!}[/tex]
[tex]^7C_2 = \frac{7 * 6 * 5!}{5! * 2 * 1}[/tex]
[tex]^7C_2 = \frac{7 * 6}{2}[/tex]
[tex]^7C_2 = \frac{42}{2}[/tex]
[tex]^7C_2 = 21[/tex]
For Sophomores, we have:
[tex]n =9;r=3[/tex]
[tex]^9C_3 = \frac{9!}{(9-3)!3!}[/tex]
[tex]^9C_3 = \frac{9!}{6!3!}[/tex]
[tex]^9C_3 = \frac{9 * 8 * 7 * 6!}{6! * 3 * 2 * 1}[/tex]
[tex]^9C_3 = \frac{9 * 8 * 7 }{6}[/tex]
[tex]^9C_3 = \frac{504}{6}[/tex]
[tex]^9C_3 = 84[/tex]
For Juniors, we have:
[tex]n = 8; r = 4[/tex]
[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]
[tex]^8C_4 = \frac{8!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8 * 7 *6 * 5 * 4!}{4!*4 * 3 * 2 * 1}[/tex]
[tex]^8C_4 = \frac{8 * 7 *6 * 5}{4 * 3 * 2 * 1}[/tex]
[tex]^8C_4 = \frac{1680}{24}[/tex]
[tex]^8C_4 = 70[/tex]
For Seniors
[tex]n = 8; r = 5[/tex]
[tex]^8C_5 = \frac{8!}{(8-5)!5!}[/tex]
[tex]^8C_5 = \frac{8!}{3!5!}[/tex]
[tex]^8C_5 = \frac{8 * 7 *6 * 5!}{5! * 3 * 2 * 1}[/tex]
[tex]^8C_5 = \frac{8 * 7 *6}{3 * 2 * 1}[/tex]
[tex]^8C_5 = \frac{8 * 7}{1}[/tex]
[tex]^8C_5 = 56[/tex]
[tex]Number\ of\ Committee = Freshmen\ and\ Sophomores\ and\ Juniors\ and\ Seniors[/tex]
and implies *, so we have:
[tex]Number\ of\ Committee = 21 * 84 * 70 * 56[/tex]
[tex]Number\ of\ Committee = 6914880\ ways[/tex]
A towns population has been growing linearly. In 2004 the population was 6,200. By 2009 the population has grown to 8,100
Answer:
4 $$$$$$$
Step-by-step explanation:
noice im here noice
David measures how many inches his tomato plant grows every week. What is the independent variable?
Answer:
It is tomato plant
Step-by-step explanation:
- The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. - - - The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
can someone help me with this maths question?
Answer:
90 degrees
Step-by-step explanation:
i dont remember this i think its the value of x
PLEASE HURRY!
Find the slope of the line described by:
x - 3y = -9
Answer:
There is no solution, as far as I can see
Step-by-step explanation:
Malika, Keshia, and Aliyah Smith are each 2 years apart in age. The sum of their ages is greater than the age of their father, who is 65. How old can the oldest sister can be?
Answer:
24?
Step-by-step explanation:
If you add 20, 22, and 24, you get 66. I dont know if this helped.
Geometry test please help.
3). Find x
4). find m
5). Find m < y
6.) Find m
Answer:
x = 30
m<Y = 60
m<Z = 60
m<X = 60
Step-by-step explanation:
All of this should add up to 180 so...
2x + 2x + 3x - 30 = 180 (collect like terms)
7x - 30 = 180 (add 30 on both sides)
7x = 210 (divide by 7 on both sides)
x = 30
PLUG IN
2(30) = 60
3(30) - 30
90 - 30 = 60
m<Y = 60
m<Z = 60
m<X = 60
equilateral triangle
Hope this helps ya! Keep smiling!
Kim Kardashian has 4 children. North West is 5 years older than Chicago
West. Psalm West is a year younger than Chicago West. Saint is twice as
old as Chicago. If the sum of their ages is 14, how old is North West? Write an equation
Answer:
Psalm West is 1
Chicago West is 2
Saint is 4
North West is 7
Kim Kardashian has 4 children. North West is 5 years older than Chicago West. Psalm West is a year younger than Chicago West. Saint is twice as old as Chicago. If the sum of their ages is 14, how old is North West? Write an equation
Answer: North West would be 7 years old!
Explanation: How old is North West? This is the equation:
Their ages are...
Psalm West is 1 year oldChicago West is 2 years oldSaint is 4 years old1 + 2 + 4 = x
1 + 2 + 4 = 7
If the sum of their ages is 14 so...
14 (sum of ages) - 7 (total numbers of combined 3 West siblings)
14 - 7 = 7
