Answer:
1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches
Step-by-step explanation:
In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.
Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.
1) If the length is 12 inches, the width is 7.5 inches
[tex]\frac{5}{8} = \frac{x}{12}[/tex]
[tex]60=8x[/tex]
[tex]\frac{60}{8} =x[/tex]
[tex]7.5 = x[/tex]
2) If the length is 20 inches, the width is 12.5 inches
[tex]\frac{5}{8} = \frac{x}{20}[/tex]
[tex]100=8x[/tex]
[tex]\frac{100}{8} =x[/tex]
[tex]12.5 = x[/tex]
3) If the length is 10 inches, the width is 6.25 inches
[tex]\frac{5}{8} = \frac{x}{10}[/tex]
[tex]50=8x[/tex]
[tex]\frac{50}{8} =x[/tex]
[tex]6.25 = x[/tex]
6 less than the quotient of 4 and a number
Answer:
4/n subtracted by 6 or the third option
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
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
Use cross multiplication to solve this equation. Steps must be shown pls. (Get T alone and on the other side of the equation.)
t/4 = 1/5
Answer:
T = 4/5
Step-by-step explanation:
t/4 = 1/5
x4 x4
t = 4/5
Hope this works.
Answer:
4/5
Step-by-step explanation:
t/4 = 1/5
5t = 4
t = 4/5
yeah-ya.... right?
What is the slope of this line?
−12
12
2
2 is the answer!!
MARK ME BRAINLIEST PLSSSSPlease 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.
is this correct? if not what is the correct answer?
6 soaps comparing to the other 5 = 30 different comparisons:
30 x 2,000 = 60,000
Answer: H. $60,000
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.
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
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.
someone please help me quickly PLEASEEE!!!
Given: x - 5 > -2.
Choose the solution set.
{x | x R, x > 3}
{x | x R, x > -3}
{x | x R, x > -7}
{x | x R, x > 7}
Answer:
{x | x R, x > 3}
Step-by-step explanation:
x - 5 > -2
Add 5 to each side
x - 5+5 > -2+5
x> 3
Kolby 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! :)
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.
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
Which expression is equivalent to (-x-16)
-x-16?
X-+16
-X+16
X-16
Answer:
- x - 16
Step-by-step explanation:
HELP NEEDED ASAP
Order the numbers from least to greatest
Answer:
-31/6, -/26, -5, -5/6
first choice is the answer
Pleaseeee Helpppp
Point M is located at 1.2 x 10-6. Plot Point M on the number line below
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
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
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
If i can get 6 poland spring water 3-liter for $6. How much would it be if i get 3 poland water?
Explain
Answer:
$3
if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.
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
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:
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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
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
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:
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?
Simplify the following surd expressions
a) 9V3 -4V3 + V5 + 2V5
b) 10V2 + 4V7 - 6V2
a.9v3-4v3+v5+2v5
=5v3+v3+2v5
=5v3+3v5
b.10v2+4v2+6v2
=4v2+4v7
The volume of one serving of fruit punch
is 3.5 fluid Ounces. How many servings
are there in 29.75 fluid Ounces of
fruit punch?
A. 8.25 Servings
B. 8.5 Servings
C. 9.25 Servings
D. 9.5 Servings