the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x + 10y = 110. is it possible for the package to contain 15 apples? EXPLAIN

Answers

Answer 1

Answer:

Step-by-step explanation:

The y intercept is the value of y when x = 0. Similarly, the x intercept is the value of x when y = 0. To find each of these, we separate the equation as shown in the attached image. After solving for x and y, we find that the y intercept is 11 and the x intercept is 22. For part e, we substitute 15 in for x. So instead of putting x in the equation, we will put 15 and solve for y. After solving, we see that y will equal 3.5. However, since we cannot have a "half apple" in the package, we see that it is not possible to have 15 apples in the package.


Related Questions

What is the surface area of a cylinder with base radius 3 and height 6?
Either enter an exact answer in terms of 7 or use 3.14 for and enter your answer as a decimal.
6
square units
Report a problem
Stuck? Watch a video or use a hint.

Answers

Answer:

I think the answer is 169.65

Answer:54 pi

Step-by-step explanation:

18 19 20 please thank you

Answers

Answer:

18a) The height of tree is 6.34ft.

Diagram We would scale a right side triangle showing side; 6.34ft x base 13.59ft x 15cm slope.

b) 11.54 degree

Step-by-step explanation:

18a) sin(25) = 0.4226182617 is what you multiply to check the height.

15 x 0.4226182617 = 6.339273926   = 6.34ft.

Using the measurements of pythagoras you can scale each measurement above.  6.34 = (x0.5) = 3.17cm to draw the trees height.

15ft wire = scale the diagram draw  1cm = 2ft So that 7.5cm =  = 15ft

Draw a right angle triangle and before creating the slope use protractor or guess 25 degree at bottom of slope and label it.

This will make a 7.5cm slope and label it 15ft.

We also measure out the base which on scale cm per foot is 13.59 x 0.5 = 6.80cm and label it 13.59ft.

We find the base measurement by finding the square of each 15 and 6.34

c^2 - a^2 = b^2

a= 6.34 x 6.34 = 40.1863939089 = √40.19

c = 15 x 15 =  √225

c-b = √225 - √40.19 =  √184.81

side = b  

b^2 = √184.81= 13.5944841756 = 13.59ft

18 b)  To find an angle x  with given measurements 4ft base and 20ft slope we  

use sin( base/slope) = (run/rise)

So that 4/20 = 0.2  

Then plug in for sin -1  0.2 = 11.54 degree = (calc ..11.53695903)

Notes;

If 4ft base was not given and the height of wall was given we would do the same using base as run and slant as run run/rise  but we would substitute sin-1 and after division run/rise we would plug in the decimal to cos-1 (decimal).

30 students apply for a scholarship,
10 have college degrees
18 have school certificates
8 have both qualifications.
(a) Draw a Venn diagram to show thi
information.
(b) How many students have no
qualification?​

Answers

Answer:

A - school certificates

B - college degrees

So 30 - (10 + 8 + 2) = 10 have no qualification

The..... , ....... and.....of three-dimensional figures can be measured.
A. Weight
B. width
C. altitude
D. length
E. height​

Answers

b, d, and e .........

The  length, width, and height of three-dimensional figures can be measured.

What is the volume of a Cuboid?

A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges

The volume of a cuboid is the product of its length , width and height

The volume of the cuboid is given by

Volume of Cuboid = Length x Width x Height

Given data ,

Let the length of the cuboid be = L

Let the width of the cuboid be = W

Let the height of the cuboid be = H

Now , length, width, and height of three-dimensional figures can be measured.

Therefore, the correct options are D. length, E. height, and B. width.

Option A. weight refers to the force exerted on an object due to gravity, and option C. altitude refers to the height above sea level.

Hence , the cuboid is a three-dimensional figure

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Two cars are doing a race around a 20-km track. They start from the same place at the same time. The speed of first car is 60 km/h, speed of second car is 80 km/h. How long will it take second car to lap the first car?

Answers

Answer:

20 km less than the first car

Step-by-step explanation:

Factor

x^2−6x+8

(x+4)(x−2)

(x+4)(x+2)

(x−4)(x+2)

(x−4)(x−2)

Answers

Answer:

(x-4)(x-2)

Step-by-step explanation:

Using The AC Method


20 POINTS EACH PERSON

The perimeter of a rectangular swimming pool is represented by the expression 8x – 2. If the width of the swimming pool is represented by the expression x – 1, which expression represents the length of the pool? 7x – 1 6x – 4 3x 6x

Answers

Answer:

61 ft

Step-by-step explanation:

Answer:

The length of rectangle is 3x.

Step-by-step explanation:

Given that the perimeter of rectangle formula is P = 2l + 2w where l represents length and w is width. Then you have to substitute the expressions into the formula :

[tex]p = 2l + 2w[/tex]

Let p = 8x - 2,

Let w = x - 1,

[tex]8x - 2 = 2l + 2(x - 1)[/tex]

[tex]8x - 2 = 2l + 2x - 2[/tex]

Next you have to find the expression for length by moving all the unrelated terms to the other side :

[tex]8x - 2 - 2x + 2 = 2l[/tex]

[tex]2l = 6x[/tex]

[tex]l = 3x[/tex]

if i want to.find out when an object hirs the ground i should _____

Answers

Answer:

You should test out with different objects in different places. But, I would be careful not to use anything that could break!

Solve: 5/9 + (-4/5)

Answers

Answer:

-11/45

Step-by-step explanation:

5/9 + (-4/5)

25/45 + (-36/45)

(Multiplied each side by opposite denom.)

25/45 -36/45

Simplify

25-36=-11

-11/45

Cannot simpfily

Answer:

Step-by-step explanation:

5/9 + (-4/5)

-11/45 or − 0.244444444 and on and on forever

approximate the value of 5 pi​

Answers

Answer:

15.7079

Step-by-step explanation:

Answer:

slightly more than 15

Step-by-step explanation:

Tip: Use a calculator, it is very helpful and most often allowed in exams that include the calculation of pi.

1. Setup the problem: 5(pi)

2. Plug in the problem to receive: 15.70796...

3. The answer is slightly more than 15

ALSO: The first 3 digits of pi are 3.14, which is near the whole number 3. 5x3 = 15, so it is slightly more than 15.

Determine the change to diagonal one of a rhombus if the area is multiplied by 1/8 and diagonal two is multiplied by 1/2 . Answer: Diagonal one is multiplied by

Answers

Answer:

Diagonal one is multiplied by 4

Step-by-step explanation:

area = dia 1 * dia2 / 2

area/8 = dia1/x * dia2/2   / 2

->x = 4

how does the graph of y = sqr x + 2 compare to the graph of the parent square root function?

Answers

Is the 2 in the sqr? If not, the graph just moves up by 2 units

RUNNING OUT TIME SOMEONE HELP! :)

Answers

Answer:

top right

Step-by-step explanation:

linear function means straight line

The only function that is a straight line is  the top right

Answer:

Upper Right

Step-by-step explanation:

A linear function is a line

baseball card that was valued at $200 in 1980 has intreased in value by 7% each year. Write a function to model this situation, then find the
value of the card in 2016.

Answers

(36*.07)+200 and 475

The function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.

What is simple interest?

"Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same".

For the given situation,

Principle, P = $200

Rate of interest, R = 7% = 0.07

Number of years from 1980 to 2016, N = 36

The total amount in 2016 can be modeled as the equation,

[tex]A=P(NR+1)[/tex]

⇒ [tex]A = 200[(36)(0.07)+1][/tex]

⇒ [tex]A=704[/tex]

Hence we can conclude that the function to represent this situation is     A = P( NR+1 ) and the amount in 2016 is $704.

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Water is draining from an aquarium at a rate of
3 gallons per minute. Write a multiplication expression using integers to show the total change to the amount of water in the aquarium after 45 minutes of draining. Then determine and explain that amount.

Answers

Answer : 15 gallon per minute

135 gallons of water in the aquarium after 45 minutes of draining.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that water is draining from an aquarium at a rate of 3 gallons per minute.

The total change in the amount of water in the aquarium after 45 minutes of draining is as:

⇒ 45×3

Apply the multiplication operation in the integers,

⇒ 135 gallons

Hence, 135 gallons of water in the aquarium after 45 minutes of draining.

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What is the least common multiple of 12 and 18?

Answers

Look at the attached picture

hope it will be helpful to you..

Find the area of the segment of the circle.

Answers

Answer:

9π/4 - 4.5 unit^2.

Step-by-step explanation:

The are of the segment = area of the sector - area of the triangle.

Area of the sector = 1/4 * area of the circle

= 1/4 π 3^2

= 9π/4. unit^2

Area of the triangle

=  1/2 * 3 * 3

= 9/2 unit^2.

So the answer is 9π/4 - 4.5 unit^2.

Put these numbers in order, smallest to largest 4.9 9.44 9.4 4.09 4.99

Answers

Answer:

4.09, 4.9, 4.99, 9.4, 9.44

Step-by-step explanation:

Answer:

4.09, 4.9, 4.99, 9.4, 9.44

Step-by-step explanation:

guys i need help lol

Answers

Answer:

x = 17°, m∠ A = 114°

Step-by-step explanation:

We can tell that these pair of angles are corresponding, provided;

Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,

m∠ A = m∠ B ⇒ Substitute values of A and B,

6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,

3x + 12 = 63 ⇒ Subtract 12 on either side of equation,

3x = 51 ⇒ Divide either side by 3,

x = 17 ⇒ Substitute value of x to solve for m∠ A,

m∠ A = 6 * ( 17 ) + 12,

m∠ A = 102 + 12,

m∠ A = 114

Solution; x = 17°, m∠ A = 114°

Answer:

x = 17, ∠A = 114°

Step-by-step explanation:

I'm 8 years old and I know how to do this.

6x + 12 = 3x + 63

3x + 12 = 63

3x = 51

x = 17

6(17) + 12

102 + 12 = 114

I need a step by step for this question because I am not understanding the second half.

A coin is flipped 160 times. It landed on heads 82 times and tails 78 times. A different coin is flipped 250 times. It landed on heads 115 times and tails 135 times.

What is the empirical probability of flipping a heads on the first coin AND flipping a heads on the second coin?

Answers

a. first coin heads: 82/160
b. second coin heads: 115/250
a AND b: a x b = 82/160 x 115/250

I need a step by step solution ASAP

Answers

Answer:

C 4 /x^2

Step-by-step explanation:

20x / 5x^3

First divide the numbers

20/5 = 4

Then divide the variable

x/x^3  = x/ xxx  = 1/ xx  = 1/x^2

We are left with

4/x^2

PLEASE HELP ME!!!

I don't understand....
If possible, please explain!

Answers

Answer:

55

Step-by-step explanation:

Since this is an isosceles triangle, the angles at the bases of the identical legs must be equal

<A = <C

3x+40 =x+50

Subtract x from each side

3x-x+40 = x+50-x

2x +40 = 50

Subtract 40 from each side

2x+40-40=50-40

2x = 10

Divide each side by 2

2x/2=10/2

x = 5

We want to find <A

3x+40

3(5)+40

15+40

55

Find the solution of this system of equations
-3x - 5y = -26
X - 5y = -38

Answers

Answer:

the answer would be (-3,7)

n
What is the sum?
2.
X
X+ 3
+
3
X+ 3
+
X+ 3
ا اتيا
X+5
X+ 3
X+5
3x+27
6x
X+ 3

Answers

Answer:

x+5/x+3

Step-by-step explanation:

What is the simplest form of this expression?
5(-8m - 4) + (-5)(-9m - 5)
Enter the correct answer.
DOG
DONE
Clear all
+ ?

Answers

Answer:

5m +5

Step-by-step explanation:

5(-8m - 4) + (-5)(-9m - 5)

Distribute

-40m -20 +45m +25

Combine like terms

-40m+45m -20+25

5m +5

avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados.
pleasee hellpp asappp!!!
if possible, whoever answers this can you put a picture of what the graph would look like please and thank you :)

Answers

Answer:

y = 3x

Step-by-step explanation:

sorry cant do the graph

A spinner marked with four sections blue, green, yellow, and red was spun 100 times. The results are below. Find the experimental probability of landing on green? *

Answers

Answer: 25% maybe

100/4=25

Answer:

It would be 25%.

Step-by-step explanation:

Since there are four colors, the probability would be 25 out of 100. This can be turned into 1/4. therefore 1/4 equals 25.

what is the value of x?

Answers

Answer:

16.1

Step-by-step explanation:

There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap!

Answers

Answer:

150

Step-by-step explanation:

You need to add 60 to the 90 and then check it by doing 60% of 150.

Hope this helps.

Answer: 150 is the answer

Step-by-step explanation:

I have no clue! Please help!

Answers

The answer would be 4m. By following the equation x^2+3^2=5^2, you would simplify and have x^2+9=25. Subtract 9 from 25 and you’ll get 16. After finding the square root you will get 4.
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