A diet food company is attempting to create a non-carb brownie composed entirely of fat and protein. The brownie must weigh at least 10 grams but no more than 100 calories. Fat has 9 calories per gram and protein has 4 calories per gram. Write and graph a system of inequalities that represents weight, in grams, of protein and fat.

In geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.

Given that, if EF=FG, then F is the midpoint of EG.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Congruent line segments are 1-dimensional geometrical figures having equal measures. The word "congruent" with respect to congruent lines in geometry is defined as the equality between the two line segments. Two lines are said to be congruent when they have the same length.

Here, F is the midpoint of EG it bisects the line EG, which is EF=FG

Therefore, in geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.

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We can use the distributive property for this:

4 (p+2) = 28

4p + 8 = 28.

4p = 28 - 8.

4p = 24.

Divide by 4 on both sides:

p = 6

Answer:

1

Step-by-step explanation:

use PEMDAS=

2+6=12

12x2=24

48/24=2

2-1= 1

Answer:

2

Step-by-step explanation:

first you do things that are in perrinthes so that would be 2+6 is 8  times 2 because there is another perrinthes so thats 16 then divide 48 by 16 so then you get 3 minus 1 is 2( yeah im bad at spelling)

Answer:

2 1/4

Step-by-step explanation:

Each person gets 2 1/4 bread sticks.

9÷4= 2 1/4

Answer:

each person gets

2 1/4 (= 2.25) bread sticks

Step-by-step explanation:

total number of breadsticks = 9

total number of people = 4

assuming everyone gets the same amount of breadsticks

dividing 9 bread sticks by 4 people

= 9/4

= 2 1/4 (= 2.25) bread sticks

See the explanation

Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any fraction so I'll give you a fraction in order to illustrate this problem such that the fraction can be rewritten as the sum of two equal fractional parts and that that fraction can also be rewritten as a multiplication equation:

CHOSEN FRACTION:

[tex]\frac{16}{15}[/tex]

1. Written as the sum of two equal fractional parts:

[tex]Let's \ divide \ this \ fraction \ by \ 2: \\ \\ \frac{16}{15}\div 2=\frac{8}{15} \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{8}{15}+\frac{8}{15}[/tex]

2. Written as  a multiplication equation:

[tex]We \ can \ write: \\ \\ 16=4\times 4 \\ \\ 15=3\times 5 \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{4}{3}\times \frac{4}{5}[/tex]

The addition problem is shown below in the number line.

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Answer:

Explanation:

(i) When the car has only 80 m to stop, show that [tex]3v^2+20v-1600<0.[/tex]

The distance, [tex]d[/tex] [tex]m[/tex], it takes for a car moving at a speed of [tex]v[/tex] [tex]m/s[/tex]  to stop completely is given by [tex]d=0.15v^2+v[/tex]

The car must stop before the 80 m, so the distance to stop is less than 80 m:

                       [tex]d<80[/tex]

                      [tex]0.15v^2+v<80[/tex]

             [tex]20\times 0.15v^2+20\times v<20\times 80\\\\3v^2+20v<1600[/tex]

            [tex]3v^2+20v-1600<0[/tex]

Which is the expression you wanted to prove.

(ii) Solve the inequality in part (i) to find the maximum speed of the car.​

To solve the inequality you need to factor the left side:

         [tex]3v^2+80v-60v-1600<0[/tex]

         [tex]3v^2-60v+80v-1600<0[/tex]

         [tex](3v^2-60v)+(80v-1600)<0[/tex]

        [tex]3v(v-20)+80(v-20)<0[/tex]

          [tex](v-20)(3v+80)<0[/tex]

There are two possible solutions: 1) the first factor is positive and the second negative, and 2) the first factor is negative and the second positive.

1. First tentative solution

              [tex]v-20>0\\\\v>20\\\\3v+80<0\\\\3v<-80\\\\ v<-80/3\\\\v<-26.26[/tex]

The speed cannot be greater than 20m/s and less than - 26.26 m/s at the same tine, thus, there are not solutions for this assumption.

2. Second tentative solution

              [tex]v-20<0\\\\v<20\\\\3v+80>0\\\\3v>-80\\\\ v>-80/3\\\\v>-26.26[/tex]

You are looking for an upper bound, thus the solution is that the speed is less than 20m/s.

Answer:

you want to divide 2¾ by ¼to find how many pieces leah cut.

hope this helps.

Step-by-step explanation:

Answer:

645/3 = 215

Step-by-step explanation:

You can use long division to find the answer.

Answer: 14.6 % increase

Step-by-step explanation: 44 divided by 30 = 1.46

To decimal = 14.6 percent

Answer:

14.6

Step-by-step explanation:

Option D:

Right triangle

Solution:

Let us first define obtuse, acute right triangle and supplementary.

Obtuse angled triangle:

If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.

Acute angled triangle:

If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.

Right angled triangle:

If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.

Supplementary:

If sum of the angles is 180°, then the angles are supplementary angles.

But this is not a kind of triangle.

In given triangle one of the angle is 90°.

Therefore, this is a kind of right triangle.

Option D is the correct answer.

The numbers are 71 and 19

Solution:

Let "x" be the larger number

Let "y" be the smaller number

Given that,

Sum of two numbers is 90

Therefore,

x + y = 90 ------ eqn 1

The larger number 14 more than 3 times the smaller number

Larger number = 14 + 3(smaller number)

x = 14 + 3y ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

14 + 3y + y = 90

14 + 4y = 90

4y = 90 - 14

4y = 76

Divide both sides by 4

y = 19

Substitute y = 19 in eqn 2

x = 14 + 3(19)

x = 14 + 57

x = 71

Thus the numbers are 71 and 19

Answer:

The expression for the width of the rectangle is [tex]9x^{5}y^{5}[/tex].

Step-by-step explanation:

The formula to compute the area of a rectangle is,

[tex]Area=length\times width[/tex]

Given:

Area = [tex]45x^{8}y^{9}\ square\ yards[/tex]

Length = [tex]5x^{3}y^{4}\ yards[/tex]

Determine the expression for the width of the rectangle as follows:

[tex]Area=length\times width\\45x^{8}y^{9}=(5x^{3}y^{4})\times width\\width = \frac{45x^{8}y^{9}}{5x^{3}y^{4}} \\=\frac{45}{5}\times [x^{8-3}]\times [y^{9-4}]\\ =9x^{5}y^{5}[/tex]

Thus, the width is [tex]9x^{5}y^{5}[/tex].

Answer: I believe it is 6

Step-by-step explanation:

The formula of perimeter is

P=2(l+w)

so plug in 1.5 for length and width

P=2(1.5+1.5)

your answer should be 6.

Answer:

2

Step-by-step explanation:

you get 2 because 5 times 2 equals 10 and 6 times 2 equal 12. so you get 10/12

Step-by-step explanation:

[tex]\frac{5}{6} = \frac{5\times 2}{6\times 2} = \frac{10}{12} \\ \\

[/tex]

Therefore, answer is 2.

Answer:

Its 6 dollars, because the unit price is $4 per popover while the unit price for a bannock burger is $10 per burger. You see... If you did your math correctly, you should have a result of $6 from subtracting 4 from 10.

Have a good day!~

Answer:

-6n-20=-2n+4(1-3n)

Solution

The bracket should be expanded

-6n-20=-2n+4-12n

Then we collect the like terms

-6n + 2n+12n = 20+4

8n=24

Now divide both sides by 8

8n/8 =24/8

n = 3

You can now insert 3 into anywhere you see n and see how it goes

-6n-20= -2n + 4(1-3n)

-6(3) - 20 = -2(3) + 4[ 1-3(3)]

-18 -20= -6 + 4(1-9)

-38= -6 -32

-38= - 38

That's all

Step-by-step explanation:

x = y + 4 is already done so we will substitute that into the other equation!

3(y + 4) + y = 16

Distribute.

3y + 12 + y = 16

Add the terms.

4y + 12 = 16

Give y its own side.

4y = 4

Divide by 4.

y = 1

Substitute this back into one of the equations.

x = 1 + 4

x = 5

The point for these 2 equations is (5, 1)

⭐ Answered by Hyperrspace (Ace) ⭐

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To solve the equation, isolate and substitute variable 'y' in the first equation with 'x - 4'. This leads us to find 'x = 5'. Substituting 'x' in the first equation gives us 'y = 1'. Therefore the solution is 'x = 5, y = 1'.

The subject at hand is an algebra problem involving a system of two equations. First, we can select which variable to isolate. In our case, isolating 'y' in the first equation would be easier than it might seem. That would leave us with 'x = y + 4'.

Next, we can substitute 'y' with  'x - 4' in the second equation, giving us '3x + (x - 4) = 16'. We simplify this equation to '4x = 20'. Solving this gives us 'x = 5'. Lastly, we replace 'x' in the first equation with '5', which gives us the value of 'y = 5 - 4', so 'y = 1'.

The solution to the system of equations 'x = y + 4 and 3x + y = 16' therefore is 'x = 5, y = 1'.

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Answer:

17

Step-by-step explanation:

Answer: The distance from the person on the ground to the bottom of the hotair balloon is 1,649 ft

Step-by-step explanation: Please refer to the attached diagram

From the diagram, the hotair balloon is labelled B. If Marero looks down and forms an angle of depression of 20°, that means he is forming an angle of 70° to point C where one of the two persons are standing. Point B is an angle of 70° (point A cuts point B at a perpendicular, that is, 90°)

With these we can now use the trigonometrical ratio of tangent to calculate the distance marked x on the diagram.

Tan B = opposite/adjacent

Tan 70 = x/600

When we cross multiply, we now have

Tan 70 × 600 = x

2.7475 × 600 = x

1648.5 = x

Rounded to the nearest feet

x = 1,649 feet

Final answer:

To determine the distance of the person from the ground point below the hot-air balloon, we use the angle of depression and the tangent trigonometric ratio. The calculation yields approximately 1648 feet when rounded to the nearest whole number.

Explanation:

To solve for the distance of the person at point C from the point on the ground directly below the hot-air balloon, we need to use trigonometric ratios. To find this distance, which we'll call 'd', we'll use the tangent of the angle of depression. The angle of elevation from the person looking up to the hot-air balloon would also be 20° because alternate interior angles created by a transversal intersecting two parallel lines are congruent. The relationship we use is:

tangent of angle = opposite/adjacent

In this case:

tan(20°) = 600/d

To isolate 'd', we take:

d = 600 / tan(20°)

Using a calculator, we find:

d ≈ 600 / 0.3640 ≈ 1648.35 feet

Rounded to the nearest whole number, the person at C is approximately 1648 feet from the point on the ground below the hot-air balloon.

Answer:

[tex]0.08[/tex]

Step-by-step explanation:

Given : 8%

To find the decimal value of the percentage number

Remove the percentage symbol with 100 in the denominator

gives            

              [tex]\frac{8}{100}\\[/tex]

Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.

Gives =   [tex]0.08[/tex]

So, the decimal equivalent of the given value is  [tex]0.08[/tex]

0.08

Step-by-step explanation:

8% can be written as 8/100 in the fractional form.

now when we will divide anything by 100, we will count the 0s in 100. here 2 zeros are there.

so we will put the decimal point before two digit. in numerator we already have 8.

we need another digit, so we put 0 then the decimal point.

that means 0.08

Answer:

3 pairs

Step-by-step explanation:

After spending 78 out of 90, Staci has 12 left.

12/4 = 3

Answer:

3

Step-by-step explanation:

90-78=12

4x3= 12

12-12= 0

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the volume of a typical cereal box

[tex]V=LWH[/tex]

substitute the given values

[tex]V=(2.5)(7.75)(11.75)=227.65625\ in^3[/tex]

Convert to cubic feet

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]1\ ft^3=1,728\ in^3[/tex]

so

[tex]227.65625\ in^3=(227.65625/1,728)\ ft^3[/tex]

step 2

Find the volume of all of the boxes of breakfast cereal bought in the united states in one year

Multiply the volume of one box by 2.7 billion boxes

[tex](227.65625/1,728)(2,700,000,000)=355,712,890.625\ ft^3[/tex]

step 3

If the warehouse is 10 feet tall what could the side lengths of the floor be?

Divide the volume by the height to obtain the area of the rectangular base

[tex]A=(355,712,890.625)/10=35,571,289\ ft^2[/tex]

If the floor were a square, the dimensions would be

5,964 ft by 5,694 ft approximate

The area of the warehouse's floor can be calculated by dividing the total volume of cereal boxes by the height of the warehouse, which is given to be 10 feet. The exact dimensions of the floor (length and width) cannot be determined from the information given. Many combinations of length and width can yield the same area.

Given the problem, it is implied we must estimate the size of the warehouse able to contain the volume of all the cereal boxes purchased in the United States in one year. The shape mentioned is a rectangular prism (a box), with known height 10 feet. The area of the warehouse floor (base) would be the total volume divided by the height of the warehouse.

However, the information needed to calculate the exact dimensions of the warehouse's base (length and width) is not provided in the question. Essentially, many combinations of length and width could yield the same area. For example, if the area was 200 sq ft, it could be 20 ft by 10 ft, or 40 ft by 5 ft, and so on.

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Answer:

The answer is 7 candies for each friend with a remainder of 3. If you are taking or have taken decimals i suggest you write 7.5 because candy can be split in half.

Step-by-step explanation:

First, multiply 4 by 10. The product is 40. Then, add 5. The sum is 45. Divide 45 by 6. The quotient is 7 with a remainder of 3.

Answer:

Step-by-step explanation:

$8.75

Tyler gets $30 in change after buying a 7-day snowboarding ticket with a discount, having gone to the ticket counter with $340.

To calculate the change Tyler gets back, we must first determine the total cost of his 7-day snowboarding trip with the discount.

Tyler plans to snowboard for 7 days. A daily ticket costs $50. Since he is going to snowboard for 7 or more days, he gets a discount of $40 off the total.

Tyler goes to the ticket counter with $340. To find out how much change he gets back, we subtract the total cost from the amount he has:

$340 - $310 = $30

Therefore, Tyler will receive $30 in change.

Answer:

A=60

Step-by-step explanation:

Answer:

-78 + 55 = -23

Step-by-step explanation:

Answer:

Step-by-step explanation:

-78+55 = -23

So we know that 1 inch on the map = 5 inches.

So if Brady's house is 23 inches away from Flagstaff on the map:

23 * 5 = 115.

So 115 inches is the actual distance...

Wait. His house is 9 feet away from Flagstaff? That's cool.

Answer:

square root of 89

Step-by-step explanation:

squ^re r00t 0f 89 !s 9