PLEASE HELP PLEASE PLEASE PLEASE !!!!!!!!!!

We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.

What is gallons?

Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.

Let's start by using algebra to solve the problem.

Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:

0.227x = 68.1

To solve for x, we can divide both sides of the equation by 0.227:

x = 68.1 ÷ 0.227

x = 300.001 (rounded to three decimal places)

Therefore, the family uses 300.001 gallons of water every day.

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The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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Answer:

26 times

Step-by-step explanation:

Given

Without Coupon

\(Rate = 1.75\) per trip

With Coupon

\(Coupon = 26\)

\(Rate = 0.75\) per trip

Required

The number of trips to be taken for both option (i.e. with or without coupon) to be equal

See comment for complete question

Let the number of trips in a month be x.

Without Coupon

Total amount is:

\(Total = Rate * x\)

\(Total = 1.75x\)

Without Coupon

Total amount is:

\(Total = Coupon + Rate * x\)

\(Total = 26 + 0.75x\)

To get x, we simply equate both options

\(1.75x = 26 + 0.75x\)

Collect like terms

\(-0.75x + 1.75x = 26\)

\(x = 26\)

Answer: Yes, Yukio is correct.

Step-by-step explanation:

Assuming that Triangle DEF and ABC have the same angles (they do because they are right-angled), we can take the length from the larger triangle (DEF) and divide it by the length of the smaller triangle (ABC).

Length of DEF = 6cm

Length of ABC = 2cm

= 6/2

= 3

Proves that scale of DEF to ABC is 3:1

Let:

A = 3x + 38

B = 7x - 16

C = the midpoint of A and B

so:

Answer:

Hello,

Step-by-step explanation:

m∠DHG=(11x-36)°

m∠GHF=(x+12)°

(11x-36)°+(x+12)°=180°

12x-24=180

x=17

m∠arc DG=(11*17-36)°=151°

Answer:

4  12/25

Step-by-step explanation:

4.48 can be written as 4 48/100

Simplify

4 24/50

Simplify some more

4 12/25

Hope this helped :)

(Didn't you just ask this question?)

Answer:

4 48/100 or 4 12/25

Step-by-step explanation:

the 48 in the hundredths place is obviously going to equal 48/100 and you can divide both the 48 and 100 by 4. 48÷4=12 100÷4=25

Answer:

\( I = \dfrac{1}{3}sin(3x) - 3cos(x) + C\)

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

\(\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx \)

\(\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}\)

Answer:

\(\displaystyle \large{\frac{\sin 3x}{3} - 3\cos x + C}\)

Step-by-step explanation:

We are given the indefinite integral:—

\(\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx}\)

Important Formulas

\(\displaystyle \large{\int f(ax+b) \ dx = \frac{1}{a} F(ax+b) + C}\\\displaystyle \large{\int \cos(ax) \ dx = \frac{1}{a} \sin (ax) + C \ \ \tt{(a \ \ is \ \ a \ \ constant.)}}\\\displaystyle \large{\int \sin x \ dx = - \cos x + C}\\\displaystyle \large{\int [f(x) \pm g(x)] \ dx = \int f(x) \ dx \pm \int g(x) \ dx}\\\displaystyle \large{\int kf(x) \ dx = k \int f(x) \ dx \ \ (\tt{k \ \ is \ \ a \ \ constant.})}\)

Therefore, from the integral, apply the properties above:—

\(\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + \int 3 \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + 3 \int \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{1}{3} \sin 3x + 3\cdot -\cos x + C}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{\sin 3x}{3} - 3\cos x + C}\)

Hence, the solution is:—

\(\displaystyle \large \boxed{\frac{\sin 3x}{3} - 3\cos x + C}\)

Answer:

C.

19.5m2+11.7m

Step-by-step explanation:

hope this helps

Answer:

C.

19.5m2+11.7m

Step-by-step explanation:

what i got on the test

3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

Answer:

its 4 i know it

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

123° is angle ABD

Step-by-step explanation:

im confused about the entire 0 in the blank below part

Answer:

Measure of angle ABD is 123 degrees

Step-by-step explanation:

Answer:

12.0625 pounds.

Step-by-step explanation:

To find your answer, divide the number of ounces by 16. The quotient is the number of pounds.

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer: "The pyramid and the cone have the same volume despite their different shapes."

Step-by-step explanation: If a pyramid and a cone are both 10 centimeters tall and have the same volume, then the statement that can be made is:

"The pyramid and the cone have the same volume despite their different shapes."

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The x-coordinate of the point shown in the graph is - 5.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x, y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, A point A(- 5, - 7).

From the above concept, we can easily conclude that the x-coordinate of the point shown in the graph is - 5.

The image of the graph is attached.

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We can see that the dot plot is seen below.

We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.

Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.

Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.

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She will need to use 4 bottles of plant food in 12 weeks.

To feed one plant, Juba mixes 15ml of plant food with 1 liter of water. She will therefore require the following to feed nine plants in the greenhouse once a week:

9 plants × 15 ml plant food every week = 135 ml plant food.

To feed 11 plants in the vegetable plot twice a week, she will need:

11 plants x 15 ml plant food x 2 times = 330 ml plant food per week

Juba will therefore require a total of 135 ml + 330 ml = 465 ml of plant food per week.

She will require: 465 ml  x 12 weeks = 5580 ml.

Plant food comes in bottles of 1500 ml each. Juba will therefore require:5580 ml ÷ 1500 ml/bottle = 3.72

Therefore, She will need to use 4 bottles of plant food in 12 weeks.

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Answer:

wednesday i think idk (sorry if wrong)

Step-by-step explanation:

Answer:

A) sin θ = opposite/hypotenuse

B) sin 70 = h/65

C) h = 61 ft

Step-by-step explanation:

I have attached an image of the triangle diagram that we will use to since this question.

A) From the image attached, we see that the height of the kite above Noah's head is given by h which is the opposite side of the triangle.

We have the hypotenuse as 65.

Thus, the trigonometric function,we will use is;

sin θ = opposite/hypotenuse

B) From A above, we can plug in the relevant values to get the equation we will use to solve. Thus;

sin 70 = h/65

C) sin 70 = h/65

0.9397 = h/65

h = 65 × 0.9397

h = 61.08 ft

To the nearest foot gives ;

h = 61 ft

The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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Answer:

Um, I feel like I don't have enough info to solve this

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

We have been given with the function:  

Here, we have same base of logarithmic function on both sides of the equation.

So, we will equate the values on right hand side and left hand side of the equation we will get  

After simplification we will get  

After further simplification we will get  

Hence,  

Therefore the correct answer is 8.

Answer: p2+4pq - r2

Step-by-step explanation:

p2+ pq + r2 + p2 + 4pq - r2

First, rearrange so like terms a beside each other.

p2 + p2 + pq + 4pq +r2 - r2

= 2p2 + 5pq

Answer:

AD = 3

Step-by-step explanation:

Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).

Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².

Expanding the formula, you'll get 25 - 16 = a².

25 - 16 = 9.

This means that 9 = a².

To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.

The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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explanation

24/2=12-1=11

ANSWER 11

Answer:  Choice B

Explanation:

Everywhere you see an x, replace it with a+2.

\(f(x) = 3(x+5)+\frac{4}{x}\\\\f(a+2) = 3(a+2+5)+\frac{4}{a+2}\\\\f(a+2) = 3(a+7)+\frac{4}{a+2}\\\\\)