x - price of a video tape
y - price of a DVD
[tex]\left\{\begin{array}{ccc}2x+3y=134\\x+5y=179&|\text{subtract 5y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=134\\x=179-5y&|\text{substitute to the first equation}\end{array}\right\\\\2(179-5y)+3y=134\qquad\text{use distributive property}\\\\(2)(179)+(2)(-5y)+3y=134\\\\358-10y+3y=134\qquad\text{subtract 358 from both sides}\\\\-7y=-224\qquad\text{divide both sides by (-7)}\\\\\boxed{y=32}\\\\\text{Put the value of y to the second equation}\\\\x=179-5(32)\\\\x=179-160\\\\\boxed{x=19}[/tex]
Answer: video tape cost $19 and DVD cost $32.Find the greatest common factor
6x^2y^4+18x^3y^5-12x^5y^3
Answer:
6x^2y^3
Step-by-step explanation:
6x^2y^4+18x^3y^5-12x^5y^3
Lets check the coefficients first:-
6, 18, 12 - The GCF is 6.
x terms:- x^2, x^3 and x^5 . The GCF is x^2.
y terms:- y^4, y^5 and y^3. The GCF is y^3.
Answer:
6x^2y^3
Step-by-step explanation:
6x^2y^4+18x^3y^5-12x^5y^3
Lets break each term into prime factors
6x^2y^4 =3*2*x*x*y*y*y*y
18x^3y^5 = 9*2^3y^5 = 3*3*2*x*x*x*y*y*y*y*y
12x^5y^3 = 4*3x^5y^3 = 2*2*3*x*x*x*x*x*y*y*y
Each has one 2, one 3, two x's and three y's
So the greatest common factor is
2*3*x*x*y*y*y
6x^2y^3
Chole wants to build a storage container in the shape of a cube to hold 15.625 cubic meters of hay for her horse. Slove the equation 15.625 =s3 find the length of oneside of the container
Answer:
The length of each side is 2.5 m
Step-by-step explanation:
A cube has a volume of 15.625 m^3 of hay
We want to find the length of one side
V= s^3 where s is the length of one side
15.625 = s^3
Take the cube root of each side
15.625 ^ (1/3) = s^3 ^(1/3)
15.625 ^ (1/3) = s
2.5 = s
The length of each side is 2.5 m
the ages of three men are in the ratio 3:4:5.if the difference between the age of the oldest and the youngest is 18years, fine d the sum of the age of the three men
Answer:
108
Step-by-step explanation:
Givens
let the oldest one = 5xLet the youngest one = 3xLet the middle one = 4xEquation
3x + 18 = 5xSolution
3x + 18 = 5x Subtract 3x from both sides3x - 3x + 18 = 5x - 3x Combine18 = 2x Divide by 218/2 = 2x/2 Dividex = 9Answer
3x = 3*9 = 275x = 5*9 = 454x = 4*9 = 36The sum is 108Comment
This is a very tricky problem. It is not the usual way that 3 part ratios are handled. Thanks for posting.
a number m plus 4 is greater than or equal to 7
THIS IS MATH IS eASY PLZ SOLVE!!!!!!!!!!!!!!! POINTS HERE WILL GIVE BRAINLIEST!!!!!!!!!!!!
Answer:
The exact answer is 27 * pi
or the approximate answer is 27 * 3.14 = 84.78
Step-by-step explanation:
First step is to find the area of the circle
A = pi * r^2
A = pi * 6^2
A = 36* pi
We are missing 90 degrees of the circle or 90 out of 360.
That means we keep 360 - 90 = 270 or 270/360
The fraction we are keeping simplifies to 3/4 (divide top and bottom by 90)
Multiply the area by the fraction that we kept.
36 pi * 3/4 = 27 * pi
The exact answer is 27 * pi
or the approximate answer is 27 * 3.14 = 84.78
PLZ HELP NEEED ASAP
Which equation shows y=−1/2x+4 is in standard form? First multiply each term by 4 to remove the fractions, 2. Then move the x value to the other side
A. 2x + y = 8
B. x+2y=−8
C. x + 2y = 8
Answer:A
Step-by-step explanation:
because standard form is ax+by=c
so multiply one half to both side and it cancancel
what is the function f(x) = 2(x + 6), find x if f(x) = 22
Answer:
x = 5Step-by-step explanation:
f(x) = 2(x + 6)
f(x) = 22
thereofre we have the equation:
2(x + 6) = 22 use distributive property
2x + 12 = 22 subtract 12 from both sides
2x = 10 divide both sides by 2
x = 5
Five added to twice Jeff’s age is the same as 3 times his age minus 2. How old is Jeff
Answer:
21
Step-by-step explanation:
To find Jeff's age, we set up an algebraic equation based on the problem given. By isolating the variable and solving the equation, we determine that Jeff is 7 years old.
The problem presented is a basic algebraic equation that can be translated to: 5 + 2 * Jeff's age = 3 * Jeff's age - 2. To solve for Jeff's age, we follow these steps:
First, let's define Jeff's age as the variable x. So we can rewrite the equation as 5 + 2x = 3x - 2.Next, we want to get all the x terms on one side and the constant terms on the other to isolate x. We can do this by subtracting 2x from both sides of the equation, which gives us: 5 = x - 2.Finally, by adding 2 to both sides of the equation, we get Jeff's age, x = 7.Jeff is 7 years old.
If 100 dollars in one year gain 3 1/2 dollars interest, what sum will gain $38.50 cents in a year and a quarter
Answer:
10,300?
Step-by-step explanation:
find the value of x and show your work
Answer:
x = 10
Step-by-step explanation:
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 10 as the denominator :
7x 7x • 10
7x = —— = ———————
1 10
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7x • 10 + 1 70x + 1
——————————— = ———————
10 10
Final result :
70x + 1
———————
10
Processing ends successfully
Determine whether the lines are parallel. Use slope to explain your answer. Use the graph shown below.
The slope is of the red line is ___
The slope is of the blue line is ___
The lines do/do not have the same slope so they are/are not parallel.
Please it's my third time trying to figure it out!
Answer:
red 1/2,
blue 2/5
The lines do not have the same slope so they are not parallel
Step-by-step explanation:
We can find the slope of the red line by using the formula
m = (y2-y1)/(x2-x1)
We have the points (0,1) and (2,2)
m= (2-1)/ (2-0)
= 1/2
We can find the slope of the blue line by using the formula
m = (y2-y1)/(x2-x1)
We have the points (0,-5) and (5,-3)
m= (-3--5)/ (5-0)
= (-3+5)/(5-0)
= 2/5
The lines do not have the same slope so they are not parallel
Which fraction is bigger 7/8 or 13/15
Answer:
7/8
Step-by-step explanation:
Step 1: Change the denominators so that they are the same for both fractions
7/8 x 15 = 105/120
13/15 x 8 = 104/120
Step 2: Compare
104/120 < 105/120 = 13/15 < 7/8
The fraction 7/8 is bigger than 13/15.
Explanation:To determine which fraction is bigger between 7/8 and 13/15, we need to find a common denominator. The least common multiple of 8 and 15 is 120. Now, we can convert both fractions to have the same denominator:
7/8 = 105/120
13/15 = 104/120
Since 105/120 is larger than 104/120, the fraction 7/8 is bigger than 13/15.
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You can buy 3 apples at the Quick Market for $1.29.You can buy 5 of the same apples from the Stop and Save for $2.50.Which place is the better buy?
Answer: Quick market
Step-by-step explanation:
At quick market each apple is .43 each
At Stop and Save they are .50 each
State weather ADB~CDB, and if so , explain how you know
Answer:
SAS
Step-by-step explanation:
AD = DC Given
<ADB = <CDB Givien
BD = BD Reflexive property.
The angle is between the 2 sides. The triangles are congruent by SAS.
If reyna drives 120 miles at a speed of 60mph how long will it take her to get home
Answer: 2 hours
Step-by-step explanation:
How many times can 25 go into 212
25 can go into 212 a total of 8 times with a remainder.
To determine how many times 25 can go into 212, we perform the division of 212 by 25.
This is a simple division problem where we are looking for the quotient, which represents the number of times 25 can be subtracted from 212 before the remainder is less than 25.
Let's perform the division:
[tex]\( \frac{212}{25} = 8 \)[/tex] with a remainder of 12.
This means that 25 can be multiplied by 8 to get as close as possible to 212 without exceeding it.
The difference between 212 and 200 is 12, which is the remainder.
Therefore, 25 can go into 212 a total of 8 times with a remainder of 12."
Complete the synthetic division below.
Answer:
The quotient is (x+7)
Step-by-step explanation:
Given the synthetic division problem
2|1 5 -14
we have to complete the synthetic division to find the quotient.
The steps are
Step 1: Set up the synthetic division
Step 2: Bring down the leading coefficient to the last row.
Step 3: Multiply the value which is written on the top left by the value just written on the bottom row.
Step 4: Add the column created in above step.
Step 5: continue until we reached last column.
The synthetic division is shown in attachment.
The quotient is (x+7)
Option D is correct
Collins middle school has 280 sixth grader students. if the sixth grade is 40% if the total school, how many students are in the middle school?
Answer:
700
Step-by-step explanation:
280 / 0.40 = 700
Answer:
280 *0.40 +96 STUDENTS
or
280/100 = x/40 cross multiply
9600=100x divide by 100
x=96
Step-by-step explanation:
A road construction crew paves 1/5 mile every day. How much would they pave in 2 days?
Answer: 0.4 miles
Step-by-step explanation:
You can use the equation y=1/5x to help you figure it out where x is the days and y is the length. y=1/5(2). y=2/5 or 0.4 miles. Please vote my answer as brainliest
The road construction crew would pave 2/5 of a mile in 2 days, as they pave 1/5 mile every day.
Explanation:The road construction crew paves 1/5 mile each day. If they were to work for 2 days, to find out how much they would pave, you would simply multiply the pace per day by the number of days. So, 1/5 mile * 2 days = 2/5 miles. Therefore, the crew would pave 2/5 of a mile in 2 days.
To find out how much the road construction crew would pave in 2 days, we need to multiply the amount they pave in 1 day by 2. So, if they pave 1/5 mile every day, they would pave 1/5 * 2 = 2/5 mile in 2 days.
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Solve for x.
−6 = 3/8x
Answer:
-16 =x
Step-by-step explanation:
−6 = 3/8x
Multiply each side of the equation by 8/3 to isolate x
-6 *8/3 = 8/3* 3/8 x
-48/3 = x
-16 =x
Answer:
Step-by-step explanation:
-6=3/8x
To make this easier to visualize:
3/8= 0.375
-6=.375x
Divide both sides by .375
The right side cancels.
-6/.375=-16
So x=-16
find the nonpermissible for a in this expression a^2/2a+6
Answer:
The value not permissible for a is -3.
Step-by-step explanation:
Considering real numbers, the expression is undefined for any value a for which the denominator expression is zero.
[tex]\frac{a^2}{2a+6}, \,\,\,2a+6\neq 0\implies a\neq -3[/tex]
The expression is valid for all real numbers, except -3.
Answer:
a≠-3
Step-by-step explanation:
We cannot divide by zero, so the denominator cannot be zero
2a+6≠ 0
Subtract 6 from each side
2a+6-6≠ 0-6
2a ≠-6
Divide each side by 2
2a/2 ≠-6/2
a≠-3
write the pair of fractions as a part of fractions with a common denominator 1/4 and 2/3
Answer:
[tex]\frac{3}{12} and \frac{8}{12}[/tex] are the fractions with common denominator
Step-by-step explanation:
fractions are 1/4 and 2/3
[tex]\frac{1}{4} and \frac{2}{3}[/tex]
To get common denominator we take LCD
LCD of 4 and 3 is 12
To get 12 in the denominator we multiply first fraction by 3 and second fraction by 4
[tex]\frac{1*3}{4*3} and \frac{2*4}{3*4}[/tex]
[tex]\frac{3}{12} and \frac{8}{12}[/tex]
Evaluate 2(11-5)+9÷3
Answer:
2(11-5)+9÷3 = 15
Step-by-step explanation:
the correct answer is: 15
To Solve:
11 - 5 = 6
6 x 2 = 12
9 / 3 = 3
12 + 3 = 15
The value of the expression is; 15
Evaluation of expressions;The given expression is; 2(11-5)+9÷3
By first solving the expression within the parenthesis, and then the division operator ; we have;
2(6) + 3By taking care of the parenthesis; we have;
12 + 3= 15Read more on arithmetic expressions;
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carlose has 38 apples .he put 8 apples in each bag.if he fills as many bags as possible ,how many apples are left.
plezz hurry
Answer:
he can fill 4 bag
i think he will have 4 or 6 left
Step-by-step explanation:
38/8= 4.75
.75/8=6
Answer:
4 bags and 6 apples
or
4.75 bags of apples
Step-by-step explanation:
First, take 38 divided by 8. You get 4.75. That means 4 bags have been filled up.
Next take 8 times 4. you get 32. then take 38-32 and you get 6.
That means there is 4 bags of apples and 6 left over. You could also say 4.75 bags are filled.
This was a different way of awnsering it so I hope this helps. This is how I do it.
Mr. Moore needs to share 4 ounces of red among 5 art student's. How much red paint will each student receive?
Answer:
0.8 ounces each student
Step-by-step explanation:
You divide 4 by 5 and get your response.
Answer:
.8 ounces (could be written 4/5)
Step-by-step explanation:
5 students, 4 ounces. divide ounces by students, so 4/5
Bill has a swiming pool that holds 7,500,00 milliliters of water he needs to have his pool treated and the company he hired wants to know how many liters his pool has how can bill solve this
Answer:
If it was 750,000 liters it would be 750 liters
Step-by-step explanation:
Bill can solve this by first thinking that 1 liter is 1,000 milliliters. Then 1,000 times 750 equals 750,000. Then he would do 750 times 1 and get 750. Bill would then realize that 750,000 milliliters is equal to 750 liters
which of the following options best describes the function graphed below
Answer:
Option B.
Step-by-step explanation:
The given graph is of a line which is parallel to the x axis.
Let the equation of the line is y = mx + c
where m is the slope and c is a constant representing y - intercept.
Since the graphed line is parallel to x = 0
So for the values of x = 0 equation of the line will be
y = c (constant)
Therefore, Option B. Linear constant is the answer.
Give a counter example to the following statement.
All quadrilaterals are rectangle
On a scale model of a building, 1 4 inch represents 3 8 foot. What length on the model represents 1 foot? 3 32 in. 2 3 in. 1 1 1 in. 10 2 3 in.
Answer:
2/3 in
Step-by-step explanation:
We can use ratios to solve this problem.
1/4 inch x inches
-------------- = ---------------------
3 /8 ft 1 ft
Using cross products
1/4 * 1 = 3/8 * x
Multiply each side by 8/3 to isolate x
1/4 * 8/3 = 3/8*8/3 x
2/3 = x
If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)? A. 5x3 + 9x2 + 15x + 27 B. 25x2 + 90x + 84 C. x2 + 5x + 12 D. 5x2 + 24
Answer: A
Step-by-step explanation:
m(x) = x² + 2
n(x) = 5x + 9
(m*n)(x) = (x² + 3)(5x + 9)
= x²(5x + 9) + 3(5x + 9)
= 5x³ + 9x² + 15x + 27
Answer:
[tex]5x^3 +9x^2 +15x+27[/tex]
Step-by-step explanation:
If m(x) = x2 + 3 and n(x) = 5x + 9,
(mn)(x) is (m times n)(x)= m(x) times n(x)
m(x) * n(x)
Plug in m(x) and n(x). then multiply it
m(x) * n(x)
(x^2 + 3)(5x+9)
Apply FOIL method to multiply it
x^2 * 5x = 5x^3
x^2 * 9 = 9x^2
3*5x= 15x
3*9 = 27
[tex]5x^3 +9x^2 +15x+27[/tex]