Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025

x = age of the son

y = age of the father

x + y = 44

y = 2x

Substitute our second equation into our first equation.

x + 2x = 44. Combine the like terms.

3x = 44. Divide each side by 3

x = 44/3 or 14.7.

Substitute 44/3 into x for our second equation to find y

y = 2(44/3). Multiply 2 by 44/3

y = 88/3 or 29.3

Step-by-step explanation:

1. Choose arbitrary points A and B in the plane and draw segment AB.

2. Raise a perpendicular m to AB at A.

3. Raise a perpendicular n to AB at B.

4. Choose an arbitrary point C on line n.

5. Drop a perpendicular from point C to line m. Let D be the foot of this perpendicular.

6. Then quadrilateral ABCD is a rectangle.

You are consuming approximately 275 grams of carbohydrates each day, based on a daily calorie intake of 2200 kcal and a diet consisting of 50% carbohydrates.

To calculate the number of grams of carbohydrates you are consuming, you need to convert the percentage into a decimal and multiply it by the total calorie intake. Since carbohydrates provide 4 calories per gram, you can divide the calorie intake by 4 to get the number of grams.

In this case, 50% of 2200 kcal is 1100 kcal. To convert this into grams, divide 1100 kcal by 4, which equals 275 grams. Therefore, you are consuming 275 grams of carbohydrates each day.

It's important to note that this calculation assumes that each gram of carbohydrates provides 4 calories, which is a general estimate. The actual caloric value may vary depending on the specific types of carbohydrates consumed.

Additionally, individual dietary requirements and preferences may also affect the distribution of macronutrients in a person's diet. It's always recommended to consult with a healthcare professional or registered dietitian for personalized nutritional advice.

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Given that a colony of ants carried away 10 of your muffins which was 5/9 of the total muffins, the number of muffins left is 8.

Given the data in the question, let 'x' represent the total muffins.

First we determine the total amount of muffins 'x'.

5/9 of all of total muffins = 10

5/9 × x = 10

5x/9 = 10

5x = 90

x = 90/5

x = 18

Total amount of muffins was 18.

Now,

Amount of muffins left = Total muffins - Amount carried away

Amount of muffins left = 18 - 10

Amount of muffins left = 8

Given that a colony of ants carried away 10 of your muffins which was 5/9 of the total muffins, the number of muffins left is 8.

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Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

where w is the width, l is the length, and h is the height.

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Answer:

2. 260

3. 16

4. 71

5. 47

6. 137

8. 23

Step-by-step explanation:

Answer:

81.64

Step-by-step explanation:

im using 3.14 not all of pi is that ok

Answer:

81.64

Step-by-step explanation:

Write the equation 13r * 3.14

First do 13(2) to get 26

Secondly do 26 times 3.14

this will give you 81.64

Answer:

5, -25, 125, -625

Step-by-step explanation:

A geometric sequence is where a number is divided or multiplied by same number continuously

in the third option the number are multiplied by (-5) continuously

Answer:

3 gallons.

Step-by-step explanation:

there are 3 gallons in 48 cups. apologies if i am wrong

The partial derivative of the left side of the equation with respect to x is: -sin(xy) * y * sin(yz) * w * z = 0

To find the first partial derivatives of w with respect to x, y, and z, we need to differentiate the given equation implicitly. The equation is cos(xy) * sin(yz) * w * z = 31.

Differentiating both sides of the equation with respect to x, y, and z separately, we obtain:

(d/dx)[cos(xy) * sin(yz) * w * z] = (d/dx)[31]

The derivative of cos(xy) with respect to x can be found using the chain rule as -sin(xy) * y. Similarly, the derivative of sin(yz) with respect to x is 0 since it does not contain x. The derivative of w with respect to x is 0 since it does not depend on x. The derivative of z with respect to x is also 0.

Therefore, the partial derivative of the left side of the equation with respect to x is:

-sin(xy) * y * sin(yz) * w * z = 0

Similarly, we can differentiate with respect to y and z to find the partial derivatives. However, without the specific values of x, y, and z, we cannot determine the numerical values of the partial derivatives.

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Between the ages of 22 and 50, John would spend $102,200 on smoking, and between the ages of 22 and 70, he would spend $175,200 on smoking.


1. First, find the number of years John smokes between ages 22 and 50, and between ages 22 and 70:
  - For ages 22 to 50: 50 - 22 = 28 years
  - For ages 22 to 70: 70 - 22 = 48 years

2. Calculate the number of packs John smokes per year, given that he smokes 2 packs a day:
  - 2 packs/day × 365 days/year = 730 packs/year

3. Calculate the cost of smoking per year, given that each pack costs $5:
  - 730 packs/year × $5/pack = $3,650/year

4. Calculate the total cost of smoking for both age ranges:
  - For ages 22 to 50: 28 years × $3,650/year = $102,200
  - For ages 22 to 70: 48 years × $3,650/year = $175,200

If John continues to smoke at the same rate, he would spend $102,200 on smoking between the ages of 22 and 50, and $175,200 if he continues until the age of 70.

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Given :

Mo spends £15 on ingredients to make 40 cookies.

He sells all 40 cookies for 50p each.

To Find :

The Mo's percentage profit.

Solution :

We know, 1 £ = 66.09 p.

So, total income is :

T = 40 × 50 p

T = 2000 p

T = £2000/66.09  

T = £30.26

So, total profit is, P = £( 30.26 - 15 ) = £15.26 .

Hence, this is the required solution.

To solve the problem we will firstly calculate the profit of Mo.

Mo's percentage profit is 33.34%.

Given to us

Cost of making 40 cookies = £15

Total earning through cookies

                                              = Number of cookies x Cost of each cookie

                                              = 40 x 0.50

                                              = £20

Total profit from cookies

= Total earning through cookies - Cost of making 40 cookies

= £20 - £15

= £5

\(\text{Mo's percentage profit}=\dfrac{\text{Total profit from cookies}}{\text{Cost of making cookies}}\)

\(\text{Mo's percentage profit}=\dfrac{5}{15}\)

\(\text{Mo's percentage profit}=0.3334 = 33.34\%\)

Hence, Mo's percentage profit is 33.34%.

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Answer:

the answer is C. Side-Side-Angle Congruence

Step-by-step explanation:

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

y= -1x + 1

Step-by-step explanation:

-2+2x+2y=0

+2             +2

2x+2y=2

-2x      -2x

2y=-2x+2

/2     /2  /2

y=-1x+1

Answer:

8x-12

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(4(2x-3)\)

Expand

\(4\times 2x = 8x\\\\4\times(-3)=-12\\\\8x-12\)

Step-by-step explanation:

15 - 5n = 2n + 1

Bringing like terms on one side

15 - 1 = 2n + 5n

14 = 7n

14/ 7 = n

2 = n

Answer:

Step-by-step explanation:

First distribute. 5•3 and 5•n.

This gives you 15-5n=2n+1

Next add 5n to both sides.

This will give you 15=7n+1

Then you will subtract 1 from both sides.

14=7n

Finally you divide by 7 so you can get n by itself.

Your answer will be 2=n

You can always go back and plug your answer in to see if it works!

Answer:

There are 2 integers, which absolute value are 3. -3 and 3 itself

Step-by-step explanation:

|-3| = 3 and |3| = 3 to

Answer:

2 integers at a time will be able to have the same absolute value. This is because integer can be both positive and negative, while absolute value always remains positive:

The absolute value of both 2 and (-2) is 2.

Answer:

0.6

Step-by-step explanation:

0.6-0.45=0.15

The value of y from the given equation is 0.60.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 0.15=y-0.45.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 0.15=y-0.45

y=0.15+0.45

y=0.60

Therefore, the value of y is 0.60.

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Answer:

#1: 4) D

#2: 1) 34.89 = 3 × C

#3: 4) 6y + 18

Step-by-step explanation:

#1

Using the distributive property:

3 × 5z = 15z

3 × -3 = -9

The correct expression is 15z - 9. Hence, D is the right option.

#2

You need to find the cost of each box.

3 × C = 34.89

34.89 ÷ 3 = 11.63

3 × 11.63 = 34.89

Hence, 1) is the right option.

#3

Using the distributive property:

6 × y = 6y

6 × 3 = 18

The expression is 6y + 18. Hence, 4) is the right option.

hope this helps!! p.s. i really need brainliest :)

Answer:

1. #4, D

2. #1, 34.89 = 3 x c

3. #4, 6y + 18

Step-by-step explanation:

1. Which pair of expression are equivalent (=)?

A.

10c + 20 = 5(5c + 4) <== distribute

10c + 20 = 25c + 20

This pair is not equivalent

B.

3(4e -  2) = 7e - 5 <== distribute

12e - 6 = 7e - 5

This pair is not equivalent

C.

4(4h + 6) = 16 + 24 <== distribute

16h + 24 = 16 + 24

This pair is not equivalent (look carefully, it's missing an h)

D.

15z - 9 = 3(5z - 3) <== distribute

15 - 9 = 15z - 3

This pair is equivalent

Therefore, the correct answer is D

2. Mr. James bought 3 boxes of pencils for $34.89. Each box of pencils costs the same. Which equaiton can be used to find the cost, c, of each box?

We know that 3 boxes of pecils cost $34.89, and c represents the cost of one box. If c represents the cost of one box and there are 3 boxes, it would be 3c or 3 x c.

Looking at the answer choices, #1 is the only option that represents that.

Therefore, the correct answer is 1) 34.89 = 3 x c

3. Aidan wrote an expression 6(y + 3). Which expression is equivalent to the one Aidan wrote?

6(y + 3) <== distribute

6y + 18

Therefore, the answer is 4) 6y + 18

Hope this helps!

Answer:

b. 9

Step-by-step explanation:

f(2) if f(x)=(x+1)^2

= (2 + 1)^2 = (3)^2 = 9

i hope its help

The equation of the circle in standard form is (x - 3)²+ y² = 1.

The standard form of the equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is its radius.

This equation represents all points in the xy-plane that are equidistant from the center (h, k) of the circle. The squared terms (x - h)² and (y - k)² represent the distances between the center and any point (x, y) on the circle, and r² is the squared length of the radius of the circle.

In the given question,

The center of the circle is (3, 0), and the radius extends to the point (4, 0), which means the radius has a length of 1 unit.

Substituting the values of the center and radius into the standard form equation of a circle, we get:

(x - 3)² + (y - 0)² = 1²

Simplifying, we get:

(x - 3)² + y² = 1

Therefore, the equation of the circle in standard form is:

(x - 3)² + y² = 1.

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Answer:

should be 96 degrees

Step-by-step explanation:

Answer:100

Step-by-step explanation:

When measuring the effects of a new diuretic medication, hourly urine output represents the ratio level of measurement.

What is ratio level of measurement?

Ratio level of measurement is a type of measurement that features a true zero point, meaning that the value 0 represents the absence of the characteristic being measured.

Some examples of ratio level measurements include weight, height, length, distance, speed, and many others. In this case, the hourly urine output of subjects is measured to determine the effects of a new diuretic medication.

The hourly urine output is a ratio measurement because it has a true zero point, which is the absence of urine output. In other words, if there is no urine output, the value would be 0, which represents the absence of the characteristic being measured.

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The ratio of nonfiction to fiction books is 49 : 2.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The number of fiction books is 2/7 times the number of nonfiction books.

So, If we have 7 nonfiction books then we have 2/7 fiction books.

Therefore, The ratio Nonfiction : Fiction = 7 : 2/7.

Nonfiction : Fiction = 49 : 2.

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The value of the side x for the given similar triangle will be 12 units.

The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.

The area of a triangle is defined as (1/2) base height, and the sum of all three angles within a triangle will be 180°.

As per the given both triangle,

The one angle of both triangles is 90° and one angle is the common angle.

Since the two angles are the same thus the third angle will be the same thus by the AAA postulate both triangles will be similar.

By a similar triangle rule,

20/x = 25/(√(25² - 20²))

x = 20/25 (15)

x = 12

Hence "The value of side x will be 12 units by AAA postulate".

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We need to know about the concept of dilation to understand the question.

The coordinate of C' will be 1/2 times it's original coordinate.

Dilation is a form of transforming an object by changing it's size or shape by either increasing or decreasing it's dimensions with the use of scaling factors.For example if a shape is said to have been dilated by a factor of 2 it simply means that the object has been doubled it's size.The coordinates of the new object will be twice of the original coordinates. So if one of the coordinate was (1,1) then the coordinates of that point will be (2,2) after dilation.

Here in the question it is said that ABCD has been dilated by a factor of 1/2, so to find the new coordinates of the point C' we will have to multiply the original coordinates at C by 1/2.

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Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

or, 7h-15h+40=-72

or, 40+72=15h-7h

or, 112=8h

or, h=112/8

therefore,h=14

Answer:

Step-by-step explanation:

Step-by-step explanation:

you basically have to multiply 29,035 by 2021 i think

ans=58,679,735

Step-by-step explanation:

29,035 ft in 1999.

today is 2021. the difference is 22 years.

the growth rate is 2.4 inches per year.

so, in 22 years it grew 2.4×22 = 52.8 in

1 ft = 12 in

52.8 in = 4 ft 4.8 in = 52.8/12 ft = 4.4 ft

so, it should be now 29,039.4 ft above sea level.