1. According to the food label on a box cookies, each box has 16
servings and each serving contains 4 cookies. The weight of the
box of cookies is 1/2
kilograms. What is the weight of each
cookie?

Answers

Answer 1

Answer:

Step-by-step explanation:

Formula

Total number of cookies = number servings * number of cookies in serving

Givens

Number of servings = 16

Number of cookies in each serving=4

Total Mass = 0.5 kg

Solution

Total number of cookies = 16*4

Total number of cookies = 64

Total mass of box = # cookies * mass of 1 cookie

Total Mass of box = 0.5

# cookies = 64

0.5 kg = 64 * mass 1 cookie           Divide by 64

0.5 / 64 = 64*mass 1 cookie/64     Compute

Answer: mass 1 cookie = 0.0078 kg

This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.

The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.


Related Questions

2x squared + 13x - 24 =0

Answers

Answer:  (2x - 3)(x + 8)

Step-by-step explanation:

2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.

When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.

b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.

2x² + 13x - 24 = 0

2x² + 16x - 3x - 24 = 0

2x(x + 8) - 3(x + 8) = 0

(2x - 3)(x + 8) = 0

Answer: x = -8, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

       This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.

       The quadradic formula, then plugging in to solve:

(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)

[tex]x = \frac{-b\sqrt{b^{2} -4ac } }{2a}[/tex]

[tex]x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}[/tex]

[tex]x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}[/tex]

[tex]x = \frac{-13\sqrt{169 +192 } }{4}[/tex]

[tex]x = \frac{-13\sqrt{361 } }{4}[/tex]

Now it breaks into two parts:

[tex]x = \frac{-13-19}{4}[/tex]       and       [tex]x = \frac{-13+19}{4}[/tex]

[tex]x = \frac{-32 }{4}[/tex]                  [tex]x = \frac{6}{4}[/tex]

x = -8, x = [tex]\frac{3}{2}[/tex]

Order from greatest to least

Answers

Answer:4. 7, 4 , -3.5, -5

Step-by-step explanation: place on number line and read from right to left

Find the volume of a cone with a diameter of 6 and a height of 16

Answers

Answer:

150.79645

Step-by-step explanation:

Fist of all half of your diameter is your raduis which is how you get three

V=πr2h3=π·32·163≈150.79645

Answer:

150.8

Step-by-step explanation:

v= (πr^2h)/3

r=6/2=3

3^2xπx16=ans

ans/3=150.8

A box of 12 eggs( a dozen)is divided between four people, what fraction of the 12 eggs will rach get

Answers

Answer:

3 eggs constitutes 1/4 of the original 12 eggs

Step-by-step explanation:

Divide "12 eggs" by "4 people," obtaining 3 eggs/person.

3 eggs constitutes 1/4 of the original 12 eggs.

help me with this question please

Answers

Answer:

I'm sorry I don't know wish I could help you out

Three times a number increased by two
times another number equals 28. Two
times the first number increased by
three times the second number equals
27. Find the two numbers.

Answers

Answer:

r={21}

Step by Step Explanation:

PREMISES

Two times three plus a number, say, r=27

ASSUMPTIONS

Let r=the number

CALCULATIONS

The numerical expression “two times three plus a number r=27” can be denoted as:

(2×3)+r=27

6+r=27

6–6+r=27–6

0+r=27–6

r=21

PROOF

If r=21, then the equations

(2×3)+r=27

6+21=27 and

27=27 prove the root (zero) r=21 of the statement (2×3)+r=27

PREMISES

Two times three plus a number, say, r=27

ASSUMPTIONS

Let r=the number

CALCULATIONS

The numerical expression “two times three plus a number r=27” can be denoted as:

(2×3)+r=27

6+r=27

6–6+r=27–6

0+r=27–6

r=21

PROOF

If r=21, then the equations

(2×3)+r=27

6+21=27 and

27=27 prove the root (zero) r=21 of the statement (2×3)+r=27

Answer:

5 and 6

Step-by-step explanation:

let the 2 numbers be x and y , then

3x + 2y = 28 → (1)

2x + 3y = 27 → (2)

multiplying (1) by 2 and (2) by - 3 and adding will eliminate x

6x + 4y = 56 → (3)

- 6x - 9y = - 81 → (4)

add (3) and (4) term by term to eliminate x

0 - 5y = - 25

- 5y = - 25 ( divide both sides by - 5 )

y = 5

substitute y = 5 into either of the 2 equations and solve for x

substituting into (1)

3x + 2(5) = 28

3x + 10 = 28 ( subtract 10 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

The 2 numbers are 6 and 5

Find the missing angle. Your answer will be a number only.

Answers

Answer:

Pretty sure its 60

Step-by-step explanation:

Basic geometry

What is the length of the parks boundary to the nearest yard

Answers

hmmm taking a peek at the triangles inside the park, hmmm let's notice both triangles have all interior angles of 60°, meaning the triangles are equilateral both, so all sides are equal, since we know one side is 50 yards, well, all sides are 50 yards, so the top and bottom straight-lines are both 50 each.

looking at the left and right sides, hmmm those are just sectors of a circle, both have a radius of 50 yards and a central angle of 120°.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=50\\ \theta =120 \end{cases}\qquad \implies s=\cfrac{(120)\pi (50)}{180}\implies s=\cfrac{100\pi }{3} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{straight~lines}{2(50)}~~ + ~~\stackrel{circular~lines}{2\left( \cfrac{100\pi }{3} \right)}\implies 100+2\left( \cfrac{100(3.14) }{3} \right)~~\approx~~309~yards[/tex]

Write the equation in point-slope form. (4,-2) ; m=1/2

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and slope,}~ m =\dfrac 12\\\\\text{Point - slope form,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-2) = \dfrac 12(x-4)\\\\\implies y+2=\dfrac 12(x-4)[/tex]

(4,-2) are points [tex](x_1, y_1)[/tex] respectively and [tex]\frac{1}{2}[/tex] is the slope

Point-slope:

[tex]y-y_1 = m(x-x_1)[/tex]      

Now you have to replace the variables with numbers

[tex]y+2 = \frac{1}{2}(x-4)[/tex]

Thus your equation would be:

[tex]y+2 = \frac{1}{2}(x-4)[/tex]

Hope this helped!

In a class of 24 pupils, if 10 are females. Calculate the ratio of males : total

Answers

Answer:

14 : 24

Step-by-step explanation:

If 10 of the 24 pupils are female, then that means the other 14 is male. Therefore, the ratio of males : total would be 14 : 24.

I hope this helps! Have a lovely day!! :)

(brainliest is much appreciated!!)

Answer:

14:24

Step-by-step explanation:

24 pupils = total

24 total - 10 females = 14 males

The ratio is

males : total

14 males : 24 people total

the simplified ratio is

7 males : 12 people

Which is the warmest temperature? EXPLAIN HOW YOU DETERMINED THIS USING THE NUMBER LINE

Answers

Answer:

When we think of the number line -5 is the coldest temperature on the number line. -5 -4 -3 -2 -1 0 1 2 3 -5 °C is the coldest temperature and 2 °C is the hottest temperature.

Marcel made an error when he used the distributive property to write an equivalent expression. which sentence describes the error? 32x−16====(8x⋅4)−(8⋅2)8x(4−2)8x(2)16x clear check both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses. 8x(2) does not equal 16x. 32x does not equal 8x⋅4. 32x and 16 have no factors in common

Answers

Answer:

I think he made a mistake in the first one

Step-by-step explanation:

Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.

What is distributive property?

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b)  in the form of (ac+bc).

The expression is:

= 32x - 16

= 8x(4) - 2(8)

= 8(4x - 2)

The error is "both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses"

Thus, Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.

Learn more about the distributive property here:

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Please help me solve this question !!!!!

Answers

Answer:

b and d and e

Step-by-step explanation:

7/doubles(2)/4weeks so you have to multiply the • means multiplication a another way to show multiplication.b-7×8(2×4)=56.d-7×2×2×2×2(2×4)=56.e-7×2×4(2×4=8)=56.

Jennie was collecting bugs for a school science project. She measured
each one in inches and wrote their lengths below.
1 1 8 3 14
12 3 2 36
18 30
5
Which list shows the lengths in order from least to greatest?
5
A.
1
3
3
18
8
36
14
30
2.
B.
3
18
8
36
1
3

12
30
2
C,
14
30
3
18
8
36
1
3
2
12
D.
8
36
14
30
2
18
12
Please help! W/ work pls due at 8 am! It’s 6:14

Answers

Answer:

c. b. a.

Step-by-step explanation:

yan po sagot sana po makatulong ito lang po alam ko ehh

FREE BRAINLIEST Write the equation for the parabola that has x− intercepts (−3,0) and (4,0) and y− intercept (0,12).

Answers

Answer:

f(x) = -x^2 + x + 12.

Step-by-step explanation:

f(x) = a(x - 4)(x + 3)    as the x-intercepts are  -3 and 4.

a is some costant.

At the y intercept x = 0 so we have:

y = 12 = a(0-4)(0+3)

12 = -12a

a = -1

So our eaution is f(x) = -(x - 4)(x + 3)

= -(X^2 - x - 12)

=  -x^2 + x + 12

We have 2 1/3 cup of peanut butter. We are making peanut butter sandwiches. If we put 1/16 cup of peanut butter on each sandwich, how many complete/whole peanut butter sandwiches can we make?

Answers

The fraction computed shows that the number of peanut butter sandwiches that can be made will be 14.

How to compute the fraction?

From the information given, it was stated that there are 2 1/3 cup of peanut butter and that they put 1/16 cup of peanut butter on each sandwich.

Therefore, the number of peanut butter sandwiches that can be made will be:

= 2 1/3 ÷ 1/6

= 7/3 × 6/1

= 14

In conclusion, the correct option is 14.

Learn more about fractions on:

https://brainly.com/question/78672

Write equations for the horizontal and vertical lines passing through the point (3,9)

Horizontal line:
Vertical line:

Answers

Answer:

Horizontal: y = 9

Vertical: x = 3

Step-by-step explanation:

Any point is given in the form (x,y). The first number is the x and the second number is the y.

Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--

y = 0x + b

y = b (a number, use the y-number from the point)

A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form

"x = anumber" Use the x from the point.

Horizontal line through (3,9) is y=9.

Vertical line through (3,9) is x=3

Your business requests a 3-month loan for
$450,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.2% and LIBOR is at 2.8%?
interest paid = $ [?]
Round to the nearest hundredth.

Answers

The total interest paid for the period of three months will be $5225 on the loan amount of $450000.

What is interest?

The interest is the charges levied on the amount which we borrow from any bank for a particular period of time.

Here in the question given data is

P= $450000

R=2.2%+2.8%=5%

T=1/4 years or three months

So from the simple interest formula

[tex]\rm SI=\dfrac{P\times R\times T}{100}[/tex]

[tex]\rm SI=\dfrac{450000\times 5\times 1}{100\times 4}[/tex]

[tex]\rm SI= \$5625[/tex]

Hence the total interest paid for the period of three months will be $5225 on the loan amount of $450000.

To know more about Simple interest follow

https://brainly.com/question/25793394

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2. Which ordered pair is a solution of the equation y =
-11x + 4? Make sure you show work!
a. (0,-7)
b. (-1,-7)
c. (1, -7)
d. (2,26)

Answers

Answer:

c. (1, -7).

Step-by-step explanation:

Substitute the given values to see which set fits:

y = -11x + 4

Try (0, -7):

-11(0) + 4  = 4 . Not this one as we are looking for the result -7.

Try (-1, -7):

-11(-1) + 4  = 11+4 = 15.   Not this one as we are looking for the result -7.

Try (1, -7):

-11(1) + 4  = -11+4 = -7.  This is correct.  

Say that the economy is in an expansion, causing wages to increase by six percent. if you previously received a monthly salary of $1,375.00, what will your new monthly salary be? round all dollar values to the nearest cent. a. $2,365.00 b. $1,604.17 c. $1,462.77 d. $1,457.50 please select the best answer from the choices provided a b c d

Answers

The new monthly salary will be $1,457.50.

You received a monthly salary of $1,375.00

Now by economy expansion, causing wages to increase by = 6%

Increment of the salary = 6% of 1,375.00

[tex]= \frac{6}{100} \times 1,375[/tex]

[tex]= 0.06 \times 1,375 =\$82.50[/tex]

What is the monthly salary?

Monthly Salary means Employee's monthly salary, before deductions.

Therefore our new monthly salary would be

[tex]= $1,375.00 + $82.50\\ = $1,457.50[/tex]

Therefore our new monthly salary will be $1457.50.

To learn more about the monthly salary visit:

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a sector has radius 14 in central angle 120 find the area of the sector​

Answers

Answer:

205.25072

Step-by-step explanation:

1. A(sector)=x/360πr^2

2. A(sector)=120/360π(14^2)

3. A(sector)=1/3π(196)

4. A(sector)=205.25072

5. Round as necessary

I’m terrible at math

Answers

Answer:

lol same but that's okay we can all for sure get better at it :)

Step-by-step explanation:

35 is 25% of_. Do not round your answer.​

Answers

Answer:

140

Step-by-step explanation:

We already have our first value 35 and the second value 25. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

35 = 25% × Y

35 = 25/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:

Y = 35 × 100/25

Y = (35 × 100)/25

Y = 140

Finally, we have found the value of Y which is 140 and that is our answer.

Hope this is a better break down than before!

Answer:

140

Step-by-step explanation:

You can think of this as 35 = 25% of x.

25% = 0.25, so 35 = 0.25x.

You can multiply by 4 on each side to get

140 = 4(0.25)x which simplifies to

140 = x

A circle has a diameter of
16". (4 pts.)
What is the approximate
Circumference?
What is the approximate area?
Show ur work 40 points!!

Answers

Answer:

Circumference = 50.24 units

Area = 200.96 units²

Determining the area of the circle:

The formula of finding the area of the circle is π(r)² or π(d/2)².

(Where "r" represents the radius and "d" represents the diameter)

In this case, we are given the diameter. Thus, we will use the formula π(d/2)². Simply substitute the diameter in the formula to determine the area of the circle.

⇒ π(D/2)² = Area of circle

⇒ π(16/2)² = Area of circle

⇒ π(8)² = Area of circle

⇒ π × 64 = Area of circle

[Exact form of pie: 22/7; Approx form of pie: 3.14]

⇒ Area of circle ≈ 3.14 × 64

⇒ Area of circle ≈ 200.96 units²

Determining the circumference of the circle:

The formula of finding the circumference of a circle is 2πr or πd.

(Where "r" is radius and "d" is diameter)

In this case, we are given the diameter. Thus, we will use the formula πd. Simply substitute the diameter in the formula to determine the circumference of the circle.

⇒ πd = Circumference of circle

⇒ π(16) = Circumference of circle

[Exact form of pie: 22/7; Approx form of pie: 3.14]

⇒ (3.14)(16) ≈ Circumference of circle

⇒ 50.24 units ≈ Circumference of circle

Factorise 9x2+49y2-42xy-30xz+70yz​

Answers

the equation can not be factored ^

Draw a rectangle which all sides are different lengths

Answers

This is impossible. A rectangle has 4 90 degree angles and 2 sets of equal sides.

pls help asap tysm: suppose 4

Answers

can you maybe write down the questions on my comment in here?

What is an angle that is supplementary to
I’m so close to being done with this so please help

Answers

Answer:

<GBF

Step-by-step explanation:

Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.

Hope this helps!

PLEASE HELP ME I NEED IT DONE ASAP!!

Answers

what's the question? Cause the pic doesn't make it clear on what we need to solve.

Jared check the school soda vending machine sells each hour between 8 AM and 3 PM. The 11 AM account each day averaged about 20 sodas. Jared then predicted about 20 sodas will be sold each hour of the day. What is wrong with this prediction?

Answers

People won’t want to buy sodas in the morning. You can’t predict human behavior, which means basing the average sales on just one hour is wrong.
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