Answer:
4.38, aka 219/50
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 557 tons. Train A is heavier than Train B. The difference of their weights is 371 tons. What is the weight of each train?
Answer:
A=464
B=93
Step-by-step explanation:
A+B=557
A-B=371
Solving the two equations simultaneously gives A=464 and B=93
An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his 6 nephews and rented five pairs of ice skates.
He was charged $32. Juanita paid admission fees for her seven grandchildren and rented 5 pairs of ice skates. She was charged $35.25. What is the admission fee?
What is the rental fee for a pair of skates?
Answer:
if we let admission fee per child to be a and the rental fee for the skates to be s.
Then john 6a + 5s =32
Juanita 7a + 5s = 35.25
Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.
6a + 5s = 32
7a + 5s = 35.25
we get -a + 0s = -3.25 therefore a= 3.25
Then we can solve for s by substituting a in either of the two equations
6 (3.25) + 5s =32
19.5 + 5s =32
5s = 12.5
s = 12.5/5
s = 2.5
Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.
Step-by-step explanation:
40
X
5. A health-food business would like to create a high-potassium blend of dried fruit in the form
of a box of fruit bars. It decides to use dried apricots, which have 407 mg of potassium per
serving, and dried dates, which have 271 mg of potassium per serving.
4
y
The company can purchase its fruit through www.driedfruitbaskets.com in bulk for a
reasonable price. Dried apricots cost $3.33/serving and dried dates cost $2/serving. The company
would like the box of bars to have at least the recommended daily potassium intake of about
4700 mg, but would like to keep it under twice the recommended daily intake. In order to
minimize cost, how many servings of each dried fruit should go into the box of bars?
5
Objective Function:
Constraints:
Corner Points & Answer:
Thus, the values corresponding to the function and constraints will be:
Objective Function:[tex]C=3.33X+2.00Y[/tex]
Constraints:[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]
We begin by defining the variables. Let call:
X = of servings of dried apricots
Y= of servings of dried dates
For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:
[tex]3.33X[/tex]
For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:
[tex]2.00Y[/tex]
The total cost would be:
[tex]C=3.33X+2.00Y[/tex]
Product must contain at least 4700mg of potassium
[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]
So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.
Learn more: brainly.com/question/16173741
Janna is making a prediction of the frequency of a key that is 12 keys from middle C. A 2-column table with 5 rows. The first column is labeled number of keys above middle c with entries 0, 1, 2, 4, 8. The second column is labeled frequency (hertz) with entries 277. 18, 293. 66, 311. 13, 249. 23, 440. 0. Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set.
Answer:
(d) extrapolation, because a key that is 12 keys from middle C is outside the data set
Step-by-step explanation:
Any prediction made outside the data set is called "extrapolation." The key 12-keys out is outside the domain 0–8 of the data set.
Answer:
(d) extrapolation, because a key that is 12 keys from middle C is outside the data set
Step-by-step explanation:
edg 2022
Please please help:(((((
I will give brainliest
Answer:
<AMC=75°Step-by-step explanation:
if <C=90 and <B = 30, then <A=60 (because <A+<B+<C=180, as ABC is a triangle)
if CM is a angle bisector then it divides <C in half, so <ACM=<MCB=45
since <ACM=45;
<A = 60;
then <AMC = 180-(45+60),
<AMC = 180-105,
<AMC = 75.
GIVING BRAINLIST! PLS ANSWER ASAP
When you have an inequality with a variable term on both sides, what should you use to collect all the variable terms on one side and all the constant terms on the other side?
Answer:
if they are like terms add or subtract them to the one side to make it positive then for the constants add or subtract then to the other side and divide the variable to make it =1 ex: 2x-3=-1x+3
add 1x add 4
3x = 6
x=2
6 less than the quotient of 4 and a number
Answer:
4/n subtracted by 6 or the third option
Step-by-step explanation:
Which of the following is an arithmetic sequence with common difference 2?
O A. 1, -3, 5, -7, 9, ...
O B. 2, 4, 8, 16, 32, ...
O C. 10, 8, 6, 4, 2, ...
-
D. 13, 15, 17, 19, 21, ...
, ,
Answer:
B
Step-by-step explanation:
You can find the nth term of the arithmetic sequence calculator to find the common difference of the arithmetic sequence. The approach of those arithmetic calculator may differ along with their UI but the concepts and the formula remains the same. You need to find out the best arithmetic sequence solver having good speed and accurate results.
Answer:
iaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Is 9/12 somehow related to the fractions "4/5","3/4" and "2/3"?
State the connection or how to get 9/12 from those fractions pls
Answer:
3 / 4
Step-by-step explanation:
9 = 3 x 3
12 = 3 x 4
9 / 12
= ( 3 x 3 ) / ( 3 x 4 )
= 3 / 4
Answer:
3/4
Step-by-step explanation:
9= 3×3
12= 3×4
9/12
= (3×3) / (3×4)
= 3/4
What is the slope of this line?
−12
12
2
2 is the answer!!
MARK ME BRAINLIEST PLSSSSKolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A Write an expression to represent this scenario where r represents the number of rides.
Part B Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $26.00
Show your work.
Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8
Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:
26 = 1.4r + 8
26 - 8 = 1.4r
18 = 1.4r
18 / 1.4 = r
12.85 = r
Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.
Quick math check:
1.4(12) + 8 = $24.8 which is less then $26.
I hope this helps! :)
HELP NEEDED ASAP
Order the numbers from least to greatest
Answer:
-31/6, -/26, -5, -5/6
first choice is the answer
15 Brian spends 1 hours carving the parts for a model airplane. He
spends 3 times as long
assembling and painting the model. How
many hours does Brian spend carving, assembling, and painting
the model? Explain how you found your answer.
Publishing Company. Image
Answer:
4 hours
Step-by-step explanation:
1 hour x 3 = 3 hours
So Brian spent 3 hours assembling and painting the plane
However the question asks for the total time, so we would do:
1 hour + 3 hours to get 4 hours
So in total, Brian spent 4 hours carving, assembling and painting the plane
Hope this makes sense.
this got me confused but can somebody please tell me what the answer is to: 7(2x - 3) = 14x + 7
Answer:
14x-21=14x +7
x cancels all out which leaves with just
28
Answer:
There is no x that satisfies the condition.
Step-by-step explanation:
7(2x - 3) = 14x + 7
14x - 21 = 14x + 7
-21 = 7
contradiction
1/6 x 2/3 please help
Answer:
2/18 or 1/9
Step-by-step explanation:
just directly multiply it 2×1=2
6×3=18 so 2/18 simplify 1/9
How do you write 9.6004 × 10^15 in standard form?
Answer:
9600400000000000 is in standard form
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (0,0); y = 2/5x + 8
Answer:
(y-0)=2/5(x-0)
someone please help me quickly PLEASEEE!!!
4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?
The number of white sweaters will be 8 while the number of blue sweaters will be 22.
Let white sweaters be represented by w.Let blue sweaters be represented by bTherefore, the equation to solve the question will be:
b + w = 30 .....i
420b + 398w = 12424 .... ii
From equation i, b = 30 - w
Since 420b + 398w = 12424
420(30 - w) + 398w = 12424
12600 - 420w + 398w = 12424
Collect like terms
- 420w + 398w = 12424 - 12600
-22w = - 176
w = 176/22 = 8
Since b + w = 308
b = 30 - 8 = 22
Therefore, there are 8 white and 22 blue sweaters.
Read related link on:
https://brainly.com/question/25734188
Which expression is equivalent to (-x-16)
-x-16?
X-+16
-X+16
X-16
Answer:
- x - 16
Step-by-step explanation:
how many 3/5s are in 9/10
Answer:they are only 2
Step-by-step explanation:
3/5 + 3/5 = 6/10 so you need a 6/5 + 3/5 and it will equal 9/10
Answer:
1
Step-by-step explanation:
3/5's = 6/10 and 6/10 plus 6/10 would be 12/10 so only 1 3/5's can fit.
Please help and please no links or just answering for points ¯\_(ツ)_/¯
Answer:
8c + 6 = 3
Step-by-step explanation:
six more than the product of a number and 8 is 3
the product of 8 and c is 8•c, which can also be written as 8c. 6 more than that means you are adding 6, and getting 3... so your equation is,
8c + 6 = 3
hope this helped!
mark me brainliest :D
what is the smallest and largest you can make with 1,7,3,5 using each number only once
Step-by-step explanation:
the smallest :13
the largest :75
Answer:
smallest :13
largest :75
On Tuesday, a restaurant serves iced tea to 24 of its 160 customers. What percent of the customers order iced tea
Answer:
15%
Step-by-step explanation:
24/160 = 0.15
0.15*100 = 15
help 6th grade math im will give brainliest
ok I don't see the thing you need help with
What do you need help with?
Lie is solving the quadratic equation by completing the square.
3x2 + 18x – 8 = 0
3x2 + 18x = 8
What should Lie do next?
Write the polynomial as a binomial squared.
Factor 3 out of the variable terms.
Isolate the variable x.
Add 8 to both sides of the equation.
Answer:
Factor 3 out of the variable terms
Answer:
Factor 3 out of the variable terms.
Step-by-step explanation:
To complete the square the coefficient on the x^2 term must be 1
Therefor
Factor 3 out of the variable terms.
NEED ANSWER ASAP!
Write an equation, in the form y = mx + b, that shows the linear relationship between the x and y values in the table.
Table: Below
Answer:
y = -5 + 2
Step-by-step explanation:
We can use change in y over change in x to find slope:
[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]
So, our slope (aka m) is -5.
For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b
y = -5x + b
-8 = -5(2) + b
-8 = -10 + b
2 = b
And there is our equation,
y = -5 + 2
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
The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?
Answer:
Area = 2x³ + 5x² - 1
Step-by-step explanation:
Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):
The formula for solving the area of a rectangle is given by:
Area of a rectangle = Length × Width
In order to solve for the area of a rectangle, simply multiply the given length by the width.
length (L) = (2x + 1)
width (W) = (x² + 2x - 1)
A = L × W
A = (2x + 1)(x² + 2x - 1)
Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):
A = 2x³ + 4x² - 2x + x² + 2x - 1
Combine like terms:
A = 2x³ + 5x² - 1
Therefore, the area of a rectangle is: 2x³ + 5x² - 1.
in what time is sum of money triples itself at 5%p.a
Answer:
Step-by-step explanation:
40 years
noah is taking a survey after answering 16 questoins
Answer:
ok
Step-by-step explanation:
I am ready noah for your survey :)