Which equation represents the following word sentence? The opposite of g times the quantity 2 plus 5.

Step-by-step explanation:

Given system of equations :

x+5y=10 and 3x+y=1.

Let us solve the system of equation by substitution.

Solving second equation 3x+y=1 for y first.

3x+y=1.

Subtracting 3x from both sides, we get

3x-3x+y=1-3x

y = 1-3x.

Substituting y=1-3x in first equation x+5y=10, we get

x+ 5(1-3x) = 10.

x + 5 -15x =10

-14x +5 = 10.

Subtracting 5 from both sides, we get

-14x +5-5 = 10-5

-14x =5

Dividing by -14 on both sides, we get

-14x/-14=5/-14

x= -0.36.

Plugging x=-0.36 in second equation y=1-3x, we get

y = 1-3(-0.36) = 1+1.08 = 2.08.

Answer:

A (–0.3, 2.1)

Step-by-step explanation:

Answer:

x=24 in

Step-by-step explanation:

We can use proportions to solve this problem

5                15

------ =  -------------

8              x

Using cross products

5 * x = 8 *15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x =24

At the same rate, it would take Marisa 6/4 of an hour to paint the entire room. This is a ratio problem, specifically dealing with rates and proportional relationships.

Since Marisa painted 1/2 of her room in 3/4 of an hour, to paint the entire room would take double that time. When you double 3/4, you get 6/4. Therefore, at the same rate, Marisa would need 6/4 of an hour to paint the entire room.

This problem is a basic ratio problem related to rates and proportional relationships, common topics in middle school math. The rate in this case is painting speed, half a room per 3/4 of an hour. Thus, when we double the room space to be painted (from half a room to a full room) we should also double the required time.

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Answer:

D. triglyceride:

Step-by-step explanation:

lipids are a groups of organic molecules, that are insoluble, that contain fatty acids, triglyceride, phospholipids, and sterols.

Answer:

P= -2 NEGATIVE 2

Step-by-step explanation:

Answer:

B. -2

Step-by-step explanation:

Hey there!

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

[tex]4(2y-9)[/tex]

Step-by-step explanation:

To begin factoring the expression [tex]8y-36[/tex], we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:

[tex]8y: 2*4*y[/tex]

[tex]-36: -1*4*9[/tex]

We notice the only common factors is 4.

We write in the form 4(____+_____). We find the inside of the parenthesis by dividing each term by 4.

[tex]\frac{8y}{4} =2y[/tex]

[tex]\frac{-36}{4} =-9[/tex]

4(2y-9)

Answer:

m = 1

Step-by-step explanation:

distribute and simplify the left side of the equation

m + 8m - 12 = - 3

9m - 12 = - 3 ( add 12 to both sides )

9m = 9 ( divide both sides by 9 )

m = 1

Answer,

-7

Explanation,

Hello! All we are doing here is simply subtraction :-)

-9 - 6 = -15

-15 - (-8) = -7

Hope This Helps :-)

Answer:

im pretty sure it is -7

Step-by-step explanation:

1) All three are right A.K.A 4

4) The answer is also 4).

Answer: ? = x + 1

Step-by-step explanation:

The perimeter of the garden is x + 3x + 1 + x + ?

The perimeter of the garden is also (6x + 2)

Therfore:

x + 3x + 1 + x + ? = 6x + 2

Collect like terms:

5x + 1 + ? = 6x + 2

Subtract 5x from both sides:

1 + ? = x + 2

Subtract 1 from both sides:

? = x + 1

You cannot find ? as a number, only in terms of x.

Answer:

18

Step-by-step explanation:

Answer:

[tex]a_{15}[/tex] = 5

Step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

[tex]a_{15}[/tex] = (- 3 × 15 ) + 50 = - 45 + 50 = 5

To find the 15th term, enter n = 15 into the nth term formula.

A list of numbers in a specific order is called a sequence. A term is the name given to each number in a sequence. A sequence has a place for each phrase (first, second, third and so on). Consider the sequence 5, 15, 25, 35, for instance. Each number in the series is referred to as a word. You should be familiar with the following four main categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences.

Sets of numbers that adhere to a pattern or norm are known as number sequences. It is referred to as an arithmetic sequence if the rule is to add or remove a number each time. It is referred to as a geometric sequence if the rule is to multiply or divide by the same integer each time.

A term is the name given to each number in a series. A sequence is a list of objects that is in order in mathematics (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered elements (potentially infinite)

Detailed explanation:

Substitute n = 15 into the nth term formula to discover the 15th term.

a15= (- 3 × 15 ) + 50 = - 45 + 50 = 5

a15= 5

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2xty=5 is not linear.

The original price of the three video games before the discount was $200.

Sam purchased 3 video games for a total of $140 after receiving a 30% discount. To find the original price of the games before the discount, we need to divide the sale price by the percentage that Sam actually paid (100% - discount percentage).

The discount percentage is 30%, so Sam paid 100% - 30% = 70% of the original price. Since 70% is the same as 0.70 in decimal form, we can set up the equation:

$140 = original price * 0.70

To determine the original price, divide $140 by 0.70:

Original price = $140 / 0.70

Original price = $200

Therefore, the original price of the three video games before the discount was $200.

Answer:

The correct answer is option (C).

Coconut oil freezes at a higher temperature than cottonseed oil because 24.8 > -48.1

Step-by-step explanation:

We have been given the freezing temperatures of cottonseed oil and coconut oil. The freezing temperature of cottonseed oil is -48.1 degree celsius and the same for coconut oil is 24.8 degree celsius.

We are supposed to compare the two freezing temperatures. We know that 24.8 is higher than -48.1, therefore, we can conclude that freezing temperature of coconut oil is higher than the freezing temperature of cottonseed oil because 24.8 is more than -48.1. Thus, correct answer is option (C).

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

a. Given => m∠5 = 40°

b. Given => m∠2 = 140°

c. Same Side Interior Angle Theorem => The same side interior angles must add up to 180°, which in this case, it does. m∠4 and m∠2 are alternate interior angles, and so there measurements are the same. 180 - 140 = 40

d. Both angles are part of the "same-side interior angles", which means that there measurements should add up to 180°. Note that m∠5 = 40°, and m∠2 = 140° (Given). Set the equation

m∠5 + m∠2 = 180

Plug in the number for each angle

40 + 140 = 180

180 = 180 (True).

e. It is proven that the above measurements are congruent with their corresponding parts. This means that a || b through Converse of Same Side Interior angle Theorem.

~

A

E

And

F

They all add up to under 32.

[ Answer ]

Y = -12 / 5

[ Explanation ]

Expand:

-3y - 9 = 2y + 3

Add 9 to both sides:

-3y - 9 + 9 = 2y + 3 - 9

Simplify:

-3y = 2y + 12

Subtract 2y from both sides:

-3y - 2y = 2y + 12 - 2y

Simplify:

-5y = 12

Divide both sides by -5:

-5y / -5 = 12 / -5

Simplify:

Y = -12 / 5

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Answer: n = -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12= −1/3n +10

Step 2: Flip the equation.

−1/3n +10=12

Step 3: Subtract 10 from both sides.

−1/3n +10−10=12−10

−1/3n =2

Step 4: Multiply both sides by 3/(-1).

(3/−1) x (-1/3n) = (3/-1) x (2)

n=−6

Answer:

Option B is correct

36 pizzas were topped with vegetables

Step-by-step explanation:

Let x be the number.

As per the statement:

At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.

The ratio of pizza topped with meat to pizzas topped with vegetables = 4 : 3

then;

the number of pizza topped with meat = 4x

and

the number pizza topped with vegetables  = 3x

It is also given that the pizzeria made a total of 84 pizzas that day.

[tex]\text{Total Pizzas} = \text{Number of pizzas topped with meat}+ \text{Number of pizzas topped with vegetables}[/tex]

Substitute the given values we get;

[tex]84 = 4x+3x[/tex]

Combine like terms;

[tex]84= 7x[/tex]

Divide both sides by 7 we get;

12 = x

The pizza were topped with vegetables = 3x = 3(12) = 36

therefore, 36 pizzas were topped with vegetables

Answer:

The correct answer is option B.

Step-by-step explanation:

The ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.

Let the pizza's topped with meat be 4x

Let the pizza's topped with vegetable be 3x

Total pizzeria made a Saturday = 84

4x + 3x = 84

7x = 84

x = [tex]\frac{84}{7}=12[/tex]

Pizza's topped with meat = 4x = 4 × 12 = 48

Pizza's topped with vegetable = 3x = 3 × 12 = 36

12 pizzas were topped with vegetables.

To find the cost of 6 pencils when 9 cost $7.74, solve for the cost of one pencil, which is $0.86, and then multiply by 6 to get $5.16.

To determine the cost of 6 pencils when 9 pencils cost $7.74, we can start by finding the cost of one pencil and then multiplying that cost by 6. Let the cost of one pencil be x dollars. The equation representing this situation would be 9x = 7.74. To find the cost of one pencil, solve for x:

Answer:

100/7 miles

Step-by-step explanation:

So 3 1/3 can be written as 10/3 and 4 2/7 can be written as 30/7. So multiplying, we get 300/21 which can be simplified to 100/7.

[tex]\left\{\begin{array}{ccc}5x+7y=-1&\text{multiply both sides by 2}\\4x-2y=22&|\text{multiply both sides by 7}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+14y=-2\\28x-14y=154\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad38x=152\qquad\text{divide both sides by 38}\\.\qquad \boxed{x=4}\\\\\text{Put the value of x to the first equation:}\\\\5(4)+7y=-1\\20+7y=-1\qquad\text{substract 20 from both sides}\\7y=-21\qquad\text{divide both sides by 7}\\\boxed{y=-3}\\\\Answer:\ \boxed{x=4\ and\ y=-3\to(4,\ -3)}[/tex]

Answer:

Nevada haves 3 million people and sacramento haves 495,234 people so if we add them it would be 3,495,234

Step-by-step explanation:

Answer: Is your mom hot

Answer:

300 teenagers

Step-by-step explanation:

6a + 5t + 4c = 5300

a + t + c = 1200

(8/3)*t = c

6a+4c+5t = 5300

a+c+t = 1200

3c-8t = 0

a = 100

c = 800

t = 300

Answer: c is the right answer

Step-by-step explanation:

Answer:

Linear regression is the relationship between two variables  x and y

One variable is dependent and the other one is explanatory variable

Regression line equation is shown in the attachment please have a look at it.

Table and graph is shown  in the file attached.

[tex]R^2\text{is the regression over two variables}[/tex]

x represents the number of days prom tickets have been on sale.

y represents  total number of tickets sold.

Answer:

1. The angle ladder makes with the wall is 11.54°

2. The height above the ground at which the upper end of the ladder touches the wall is 9.80 m

Step-by-step explanation:

We see that the side opposite of ∠A and the hypotenuse (side opposite of 90 degree angle) of the triangle are known. The ratio that relates these two sides are SINE.

We know,

[tex]sin(angle)=\frac{opposite}{hypotenuse}[/tex]

Thus we can write:

[tex]sin(A)=\frac{2}{10}\\sin(A)=\frac{1}{5}[/tex]

To find ∠A, we take the inverse sine of [tex]\frac{1}{5}[/tex]. Our answer is:

[tex]sin(A)=\frac{1}{5}\\A=sin^{-1}(\frac{1}{5})\\A=11.54[/tex]

Thus the angle ladder makes with the wall is 11.54°

Second part of the question asks for the height above the ground at which the upper end of the ladder touches the wall, this is the length of AC.

Given the angle we found, we see that the side AC is adjacent of the angle and we also know the hypotenuse. The ratio that relates these 2 sides is COSINE.

We know,

[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]

Thus, we can write:

[tex]cos(11.54)=\frac{AC}{10}[/tex]

Cross multiplying and solving for AC, gives us:

[tex]cos(11.54)=\frac{AC}{10}\\AC=10*cos(11.54)\\A=9.80[/tex]

Thus, the height above the ground at which the upper end of the ladder touches the wall is 9.80 m