marion is making trail mix for a group camping trip. she buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 a pound. what equation can you use to find the price per pound of the trail mix?

Answers

Answer 1

let
x-------------> pounds of granola-----------> $3 per pound
y-------------> pounds of raisins-----------> $2 per pound
z------------ > price per pounds of the trail mix

we have that
z=3x+2y--------------------- > this is the equation

for x=3 pounds of granola and y=0.75 pounds of raisins
z=3*3+2*0.75=$10.5 of trail mix

Answer 2

It's B on edg. 3(3) + 0.75(2) = (3 + 0.75)x

Related Questions

Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle C?

Enter your answer in the box.

°

Answers

By the Inscribed Quadrilateral Theorem, a quadrilateral can only be inscribed if and only if opposite angles are supplementary. This means that [tex]\angle D \text{ and } \angle B[/tex] are supplementary, or add up to 180°. This gives us the equation
(3x + 9)° + (2x - 4)° = 180°
Combine like terms:
5x + 5 = 180
Subtract 5 from each side:
5x + 5 - 5 = 180 - 5
5x = 175
Divide both sides by 5:
5x/5 = 175/5
x = 35
This means that [tex]m \angle D=3(35)+9=114 \\m \angle B=2(35)-4 = 66 \\m \angle A=2(35) + 3=73[/tex]
We take these 3 angles away from 360 and we will have the measure of angle C:
360 - 114 - 66 - 73 = 107°

The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle? a. 48 ft by 20 ft b. 40 ft by 28 ft c. 36 ft by 32 ft d.44 ft by 24 ft

Answers

the answer is c. hope this helps.

The maximum weight for an elevator is 1600 pounds. You need to move boxes each weighing 40 pounds, and you weigh 145 pounds. Write an inequality that can be used to determine the maximum number of boxes that you can place in the elevator at one time. Assume only you and the boxes are in the elevator.

Answers

Let the weight of one box be X.
Then we find the following:
145 + 40X = 1600
(your weight + the weight of the boxes = maximum weight)

Which of the following shows the graph of a line with a slope of 6/5 and a y intercept of -3?

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the slope of the line is 6/5 and y intercept is -3. It means the line must be passes through the point (0,-3).

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Substitute m=6/5 and b=-3 in the above equation to find the equation of line.

[tex]y=\frac{6}{5}x+(-3)[/tex]

So, the equation of line is [tex]y=\frac{6}{5}x+(-3)[/tex].

Substitute y=0 in the above equation to find the x-intercept of the line.

[tex]0=\frac{6}{5}x-3[/tex]

Add 3 on both the sides.

[tex]0+3=\frac{6}{5}x-3+3[/tex]

[tex]3=\frac{6}{5}x[/tex]

Multiply both sides by 5.

[tex]15=6x[/tex]

Divide both sides by 6.

[tex]\frac{15}{6}=x[/tex]

[tex]2.5=x[/tex]

The x-intercept of the line is 2.5. It means the line must be passes through the point (2.5,0).

Since only in graph 1, the line passes through the points (0,-3) and (2.5,0), therefore the graph 1 represents the required line and option 1 is correct.

Find two consecutive odd intefers whose product is 63

Answers

Two consecutive odd integers are known as back-to-back odd whole numbers; one right after the other.
For example; 1 and 3, 3 and 5, 5 and 7, and so on. Let’s work up to which two consecutive odd integers make a product of 63.
1 x 3 = 3; no
3 x 5 = 15; no
5 x 7 = 35; no
7 x 9 = 63; yes

From the work shown above, we can see that the two consecutive odd integers “7” and “9” make a product of 63.

I hope this helps!

Hello,

Let's assume 2n-1 the first integer
and 2n+1 the second.

(2n-1)*(2n+1)=64
(2n)²-1=64
4n²=64
n²=16
==>n=4 or n=-4
If n=-4 then 2n-1=2*(-4)-1=-9 and 2n+1=2*(-4)+1=-7
If n=4 then 2n-1=2*(4)-1=7 and 2n+1=2*(4)+1=9

(-9,-7) and (7,9) are the 2 solutions.

A country's people consume 6.36.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301301 million.

Answers

the correct question is
A country's people consume 6.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301 million.

we know that
1 billion------------------> 1000000000 (Thousand Million)=1 x 10^9
then
6.3 billion pounds--------------> 6.3 x 10^9 pounds
[pounds of candy per person per year]=[6.3 x 10^9 pounds]/[301 x 10^6]

[pounds of candy per person per year]=20.93 pounds per person per year

[pounds of candy per person per month]=20.93/12=1.74 pounds per person per month

the answer is 1.74 pounds per person per month

about how much air would fill a ball with a radius of 16cm

Answers

The volume of a sphere is given by [tex]V=( \frac{4}{3} ) \pi r^{3} [/tex]. Since the radius is 16cm we replace r with 16 to obtain: [tex]V=( \frac{4}{3} ) \pi (16)^{3}=( \frac{4}{3} )(4096) \pi = \frac{16384}{3} \pi [/tex] centimeters cubed.

That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)

(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form

Answers

we have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
(14x2 - 16x3 +14 - 2x4)

then
-2x4-16x3+14x2+14=0--------------> this is the standard form

simplify dividing the entire expression by two
-x4-8x3+7x2+7=0

the answer is
-x4-8x3+7x2+7=0

math help again please

Answers

Binomial has two terms.
Here A and B contains two terms.
C and D polynomials.
Now, In A. 7x^3y-13x^4 Here the highest degree is 4, So exclude option A because it is given that the binomial degree is 3.

We have now option B -2xy^2 - 19. Here degree of binomial is 3.

Answer: Option B

What is the classification for this polynomial?

gh^5+2g^3

Choices:
A. Monomial
B. Binomial
C. Trinomial

Answers

keep in mind, that when you encounter an operator like + or -, is a boundary of a term, therefore

gh⁵ + 2g³

first term second term

BI = two.

Write the equation of a line that is perpendicular to y=0.25x-7 and passes through the point (-6,8)

Answers

y=0.25x-7
y=1/4x-7
Slope of this line has a value of 1/4.
We know that k1*k2=-1 (if lines are perpendicular)
Then k2=-4
The equation of the second line is
y=-4x+b
If this line passes through the poin (-6;8), then 8=-4*(-6)+b
8=24+b
b=8-24
b=-16
The equation is y=-4x-16

Final answer:

The equation of a line that is perpendicular to y = 0.25x -7 and passing through the point (-6,8) is y = -4x -16.

Explanation:

In the mathematical realm, a line that is perpendicular to another has a slope which is the negative reciprocal of the original line's slope. The given equation, y = 0.25x - 7, has a slope of 0.25. Thus, the slope of the perpendicular line would be the negative reciprocal, which is -1/0.25 = -4. Now, a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Although we now know our perpendicular line's slope, we still need the y-intercept. To find it, we use the formula b = y - mx, substituting in our known slope (-4) and given point (-6,8). After calculation, b = 8 - (-4*-6) = -16. Therefore, the equation of a line that is perpendicular to y = 0.25x - 7 and passes through the point (-6,8) is y = -4x -16.

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What are the roots of x2 + 8x – 48 = 0?
show me the work

Answers

x^2 + 8x – 48 = 0
That is a quadratic equation where
a = 1
b = 8
c = -48
We can solve it by using the quadratic formula:
x = [-b +-sq root (b^2 - 4ac)] / 2a
x = [-8 +- sq root (64 -4*1*-48)] / 2*1
x = [-8 +- sq root (256)] / 2
x = [-8 +-16] / 2
x1 = 8 / 2 = 4
x2 = -24 / 2 = -12

You drive 70 miles per hour but then slow your speed by 15 miles per hour. You then return to your speed of 70 miles per hour. Which expression shows how your speed changed?

A. -70 + 15 + (-15) C. 70 + (-15) + (-15)
B. 70 + 15 + 15 D.70 + (-15) + 15

Answers

Driving 70 miles per hour.
Slow your speed means decrease in speed= 70+(-15)=70-15=55 miles/ hr
And then return to speed of 70 miles/hr means add 15 miles to the speed.
We get
70+(-15)+15 =70 miles / hr

Option D is correct.

Answer:Option D is correct

Step-by-step explanation:

I had the same problem and I clicked option D and it was correct

Riverside College had 4,439 students enrolled last year. Of those students, 1,049 graduated and left. If there are 1,110 new students this year, how many students are enrolled at Riverside College this year?

Answers

There is a total of 4,500 students enrolled.

Work:

4,439 - 1,049 = 3,390

3,390 + 1,110 = 4,500

The number of students that are enrolled at Riverside College this year is 4500.

What are the number of students enrolled?

Using this formula

Number of student=(Riverside college students-Number of student left)+Number of new students

Let plug in the formula

Number of student=(4,439 - 1,049)+ 1,110

Number of student = 3,390+ 1,110

Number of student= 4,500

Therefore the number of students that are enrolled at Riverside College this year is 4500.

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Choose the best decimal to represent 3 5/9

Answers

The decimal equivalent of 3 5/9 is 3.55555...
If the question asks for you to round to the nearest 10th it would be 3.6 and nearest hundredth would be 3.56 and so on.

Conversion of the fraction to decimal gives us; 3.55.....

How to get decimal from fraction?

There are different types of fractions such as;

Mixed Fractions

Improper Fractions

Proper Fractions

We are given the fraction as; 3 5/9

Now, this can also be expressed as:

3 + 5/9

We know that 5/9 when converted to decimal gives:

5/9 = 0.55555....

Approximating gives 0.55....

Thus;

3 + 5/9 = 3 + 0.55....

= 3.55.....

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Allan purchased a zero coupon bond four years ago. He paid $3,000 and it has a face value of $3,500. How much money did he earn for holding the bond until maturity

Answers

Answer: $500

Explanation: The face value of any types of bond is the value of the bond at the time of maturity. So, the value of Allan's zero coupon bond is $3,500 because $3,500 is the face value of the bond he bought.

So the money he earns for holding the bond until maturity is the difference when the face value is subtracted to the cost he paid for the bond. Since

$3,500 - $3,000 = $500

Therefore, Allan earned $500 for holding the bond until maturity.

Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The height of the smaller cylinder is 5 ft.

What is the height of the larger cylinder?

Please show the work

Answers

x = height of larger cylinder

The ratio of the heights can be cubed to get the ratio of the volumes

(x/5)^3 = 343/125

(x^3)/(5^3) = 343/125

(x^3)/125 = 343/125

x^3 = 343

x = (343)^(1/3)

x = 7

The height of the larger cylinder is 7 feet

A circular piece of fabric has a radius of 1.2 feet. The fabric sells for $5.40 per square foot. What is the total cost of the circular piece of fabric? A. $6.48 B. $20.35 C. $24.42 D. $40.69

Answers

the anwser is c. pi times 1.2 cubed is like 4.52, times 5.40 is about 24.42

The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.

Answers

Answer:   The area of the rectangle is:  " 77 m² " .

__________________________________________________________
Note: The formula for the area, "A" of a rectangle:

→ A = L * w ;

in which:
A = "area (of rectangle)" ; [in units of "m² " ; that is: "square meters" ] ;

L = length = "(4 + w)" {in units of "meters (m)" } ;

w = width {in units of "meters (m)" } ;
_______________________________________________________

So; " A = L * w " ;

Substitute the known expression for the "length, L" ; & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:

  → A = (4 + w) * w '' ;
______________________________________________________

Note the formula for the perimeter, "P" ;

→ P = 2L + 2w ;

↔ 2L + 2w = P

→ 2L + 2w = 36 m ;
_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is: "36" (meters) ;

→ 2L + 2w = 36 ;

→ Let us plug in the values for "Length (L)" & "width (w)" ;

→ 2(w + 4) + 2w = 36 ;

So; (2*w) + (2*4) + 2w = 36 ; Solve for "w" ;

→ 2w + 8 + 2w = 36 ;

  → Combine the "like terms" :

+ 2w + 2w = 4w ;

→ And rewrite:

4w + 8 = 36 ;

Now, subtract "8" from EACH SIDE of the equation:

4w + 8 − 8 = 36 − 8 ;

to get:

4w = 28 ;

Now, divide EACH SIDE of the equation by "4" ;
to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ;

4w / 4 = 28 / 4 ;

→ w = 7 ;   → The "width" of the rectangle is: " 7 m " .

Now, we can find the "length" of the rectangle:

The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .

→ L = 11 . → The "length" of the rectangle is: " 11 m " .
___________________________________________________

Now, we can find the area, "A", of the rectangle.

A = L * w =  11 m * 7 m = " 77 m² " .

→ The area of the rectangle is: " 77 m² " .
__________________________________________________

To check our answer:
__________________________________________________

→ " P = 2L + 2w " ;

Given that "P = 36 m" ;

Plug in "36 m" (for "P") ; into the equation ;

and plug in our calculated values for
   "length, L" (which is "11 m") ; & "width, w" (which is "7 m") ;

to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________

→ 36 m = ? 2L + 2w ?? ;

→ 36 m = ? 2(11 m) + 2(7 m) ?? ;

→ 36 m = ? 22 m + 14 m ?? ;

→ 36 m = ? 36 m ? Yes!
__________________________________________________

The process involves setting up an equation using the given perimeter and the relation between length and width, solving for width, then calculating length and subsequently the rectangle's area, resulting in 77 square meters.

The question involves finding the area of a rectangle given the relationship between its length and width, and its perimeter. First, let's represent the width as w meters. Therefore, the length will be w + 4 meters, since the length is 4 meters longer than the width. The perimeter of a rectangle is calculated as 2(length + width). Given the perimeter is 36 meters, we can set up the equation: 2(w + w + 4) = 36.

Simplifying this equation gives 2(2w + 4) = 36, and further simplification results in 4w + 8 = 36. Solving for w, we subtract 8 from both sides getting 4w = 28, and divide by 4 to find w = 7 meters. The length, being 4 meters longer, is 11 meters.

Finally, to find the area of the rectangle, we multiply the length by the width: Area = length × width = 11m × 7m = 77 square meters. Therefore, the area of the rectangle is 77 square meters.

A rectangular park is 56 miles wide and 157 miles long. What is the area of the park? Enter your answer in the box as a mixed number in simplest form. plz answer nowPLz!!!

Answers

I believe the answer would be 2 23/42. Sorry, if I am wrong with this answer. Sorry, i also mean the answer should be actually 1 3/7

Answer:

1 3/7

Step-by-step explanation:

just finished the k12 test

Use >, <, or = to compare these numbers.

3.08 m ____ 3.8 m

Answers

3.08 m is less than 3.8. 3.8 is larger than 3.08 because the 08 is what makes it smaller.
~Deceptiøn

3.08 m < 3.8 m

This is because 3.08 is smaller than 3.8.

BRAINLIESTTT ASAP!

The function f(x) = –x^2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit.

Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)

Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)

Answers

f(x)=y=-x^2+60x-116
y+116=-x^2+60x
y+116=-1(x^2-60x)
y+116-900=-1(x^2-60x+900)
y-784=-1(x-30)^2
y=-1(x-30)^2+784
we know that
h=-b/2a
h=-60/(-2*1)
h=30
k=-30^2+60(30)-116
k=784

the vertex is at (30,784) this means that the point of symmetry of the parabola is at (30,784), in our context it means that the maximum number of windshields repaired is 30 and the minimum profit will be $784

Part B
x-intercept
to determine the x-intercept we let f(x)=0
thus
0=-2x^2+60x-116
solving for x we get:
x=2 and x=58
this means that when the shop repairs 2 windshields or 58 windshields, they will not make any profits

Avogadro's number is equal to _____. 6.02 x 1025 6.02 x 1023 6.02 x 1010 6.02 x 1022

Answers

The correct answer is: 6.022x10²³

Actually, the more correct answer is its longer version: 6.022140857 × 10²³. Therefore, the correct Avogrado's number is equal to: 6.022x10²³. We use this to relate the molar mass of one substance to the mass of its sample.

A width of a rectangular painting is 3 in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting. Write an expression for the combined area of the painting and frame

Answers

The frame will go around all 4 sides of the painting. That means that the length of each side of the painting will increase by 2.5 inches. The height, h, will now be h + 5 (2.5 inches on the top and the bottom). The width, 2h + 3, will now be 2h + 3 + 5 (again, 2.5 inches on the top and the bottom). The area would be given by
(h + 5)(2h + 3 + 5) = (h + 5)(2h + 8)
Multiplying this, we have:
h*2h + h*8 + 5*2h + 5*8 = 2h² + 8h + 10h + 40 = 2h² + 18h² + 40

Multiply (7x – 6)(8x +3). A. 56x2 – 27x – 18 B. 12x2 – 50x + 8 C. 56x2 – 18 D. 56x2 – 69x + 18

Answers

You can use the FOIL method to solve: multiply FIRST, multiply OUTSIDE, multiply INSIDE, multiply LAST to help remember to multiply all terms.

=(7x – 6)(8x + 3)
multiply first term by first term, multiply outside by outside, inside by inside, last by last
=(7x*8x) + (7x*3) + (-6*8x) + (-6*3)
multiply terms
=56x^2 + 21x - 48x - 18
combine like terms
=56x^2 - 27x - 18

ANSWER: A) 56x^2 - 27x - 18

Hope this helps! :)

I need help with #13 please

Answers

13.) (t⁻⁴)⁻⁹t² Now if the exponents outside of the parenthesis, that means you multiply them. t⁻⁴⁽⁻⁹⁾=t⁴⁵ Next, When it look like this: t⁴⁵ · t², don't multiply! When it comes to this, you had to add the exponents because it has the same base number: t⁴⁵⁺²=t⁴⁷.
Here's your answer to your question, t⁴⁷.

The cost of a bagel increases from $0.80 to $1.25. What is the percent of increase?

Answers

1.25-0.8=0.45
0.45/0.8=0.5625
0.5625*100=56.25 percent increase

The percent increase is 56.25%

Work is provided in the image attached.

(6) Check my answer?
Im putting never because a pentagon has 5 sides, 2 of which are not parallel, while a parallelogram is a 4 sided figure with 2 sets of parallel sides

Are a parallelogram and a pentagon always, sometimes, or never similar?
A) always
B) sometimes
C) never****

Answers

Agreed. The figures need to have the same number of sides to have the same shape. Similar figures have the same shape but different sizes.

A limousine service charges $35 per day and an additional $0.75 per mile. Which of the following represents the number of dollars the limousine service will receive after a 12 mile ride? (A) (35 x 0.75) + 12 (B) 12 x (0.75 x 35) (C) 35 + (0.75 + 12) (D) 35 + (12 x 0.75) (E) (35 x 12) + 0.75

Answers

C because it lets you know that if you going one place 35$ then 12 x 0.75 will give you your total

Mr. Franco’s seventh grade science class recorded the daily high temperatures during the month of November. The temperatures are shown in the table What is the lower quartile of the daily high temperatures? a. 26 c. 20 b. 25 d. 28

Answers

To find the lower quartile of the daily high temperatures, arrange the data in ascending order and identify the value that separates the lowest 25%, which is 25.

The lower quartile of the daily high temperatures in Mr. Franco's seventh-grade science class can be found by arranging the temperatures in ascending order and then determining the value that separates the lowest 25% of the data. In this case, the lower quartile is 25.

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