Translate the following sentence into an equation. The sum of twice a number x and 13 is two less than three times x.

Question 20 options:

a)

2x + 13 = 3x – 2


b)

2(x + 13) + 3x – 2


c)

2x + 13 = 2 – 3x


d)

2x + 13 = 3(x – 2)

Answer:

The answer is (11 hours)

Step-by-step explanation:

I first divided 299 by 13 hours to find the rate.

I got the dividend of 23.

All you do now is add $23 per hour.

Once you add 11 hours of this rate. You'll get the sum of $253.

Solving for the amount of hours by cross multiplication

money/hours=money/hours

$299/13hours=$253/x hours

[tex]\frac{299}{13} =\frac{253}{x} \\\\23=\frac{253}{x} \\\\23x=253\\\\x=253/23\\\\x=11[/tex]

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

Answer:

2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

Step-by-step explanation:

Look at the photo below for the graph.

:)

Answer:

Lines p and q are parallel

Step-by-step explanation:

1) Completing the question:

On a coordinate plane, is translated 3 units up and 3 units to the right to create ′′. Line p is drawn through and ’, and Line is drawn through and ’. Which statement about Lines and is true?

2)

If PQ (x, y) according to that rule then P'Q' (x+3, y+3). So let's plot to answer the question. Setting numbers for,x and y.

3) As you can see below, since we add 3 units to the right and 3 units up then no x-coordinate must be the same, no y-coordinate must remain the same. In addition, p and q won't have the same intercept, neither x nor y.

Answer: People don't get confused by this guy the answer is basically clear its neither trust me guys.

The true statement about (f + g)(2) is (D). 343 burned exercise and diet 2 hours.

The functions are given as:

f(x) = 2x+ 210

g(x) =2x + 125

Start by calculating (f + g)(x) using:

(f + g)(x) = f(x) + g(x)

So, we have:

[tex](f + g)(x) = 2x + 210 + 2x + 125[/tex]

This gives

[tex](f + g)(x) = 4x + 335[/tex]

When x = 2, we have:

[tex](f + g)(x) = 4*2 + 335[/tex]

[tex](f + g)(x) = 343[/tex]

This means that 343 calories were burned by exercising and dieting for 2 hours

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Answer:

The product of 1/2*32 is taking 32/2

Half of 32 is 16

Product of 1/2*32=16

Hope this helps ;)

Answer:

16

Step-by-step explanation:

when you multiply buy a fraction you will end up with half of the one of the things you were multiplying this means that half of 32 is 16 so 16 is your answer if you need help on understanding how to multiply fractions think of it like this

1/2 x 32=    32 divided by 2

both ways will give you the same answer

hope this helps better your understanding

For every 1 cup of blue paint, [tex]\frac{10}{4}[/tex] cups of red paint are needed

For every 1 cup of red paint, [tex]\frac{4}{10}[/tex] cup of blue paint is needed

For every 4 cups of red paint, [tex]\frac{16}{10}[/tex] cups of blue paint are needed

Solution:

Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint

Therefore, ratio is

[tex]Red : blue = 3\frac{1}{3} : 1\frac{1}{3}\\\\Red : blue = \frac{10}{3} : \frac{4}{3}[/tex]

Let "x" be the cups of red paint needed

Then we get,

[tex]\frac{10}{3} : \frac{4}{3}\\\\x : 1[/tex]

This forms a proportion

[tex]1 \times \frac{10}{3} = \frac{4}{3} \times x\\\\x = \frac{10}{4}[/tex]

Therefore, 10/4 cups of red are needed for 1 cup of blue

Let "x" be the cups of blue paint needed

Then, we get

[tex]\frac{10}{3} : \frac{4}{3}\\\\1 : x[/tex]

This forms a proportion

[tex]\frac{10}{3} \times x = \frac{4}{3} \times 1\\\\x = \frac{4}{10}[/tex]

Thus, 4/10 cups of blue are needed for 1 cup of red paint

Let "x" be the cups of blue paint needed

Then, we get

[tex]\frac{10}{3} : \frac{4}{3}\\\\4 : x[/tex]

This forms a proportion

[tex]\frac{10}{3} \times x = \frac{4}{3} \times 4\\\\x = \frac{16}{10}[/tex]

Thus 16/10 cups of blue paint are needed for every 4 cups of red paint

The ratio of red paint to blue paint is 5:2. Therefore, for every 1 cup of blue paint, 2.5 cups of red paint are needed, for every 1 cup of red paint, 0.4 cup of blue paint is needed and for every 4 cups of red paint, 1.6 cups of blue paint are needed.

The initial statement tells us that the ratio of red paint to blue paint needed is 3 1/3:1 1/3. Converting these mixed numbers into improper fractions, that ratio transforms to 10/3:4/3, which simplifies further to 5:2.

So, if you reduce it down:

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of course the answer is Y=. - 2/3

Answer:

-2/3

Step-by-step explanation:

5 − (y−3)=14− 4 (y+2)

Expand

5 - y + 3 = 14 - 4y - 8

Collect like terms

-y + 4y = 14 - 8 - 5 -3

(-1 + 4)y = - 2

3y = -2

Divide both sides by 3

3y/3 = -2/3

y = -2/3

I hope this was helpful, Please mark as brainliest

Answer:

1st one is A

2nd is B

EDGE

Mario says that the expression [tex]4+3n^2[/tex] has four terms: 4, 3, n, and 2. Mario is incorrect

Solution:

Given that the expression is:

[tex]4+3n^2[/tex]

Given that, Mario says that the above expression has four terms

But Mraio is incorrect

Because the given expression has two terms only

4 is one of the term

[tex]3n^2[/tex] is another term

So there are totally 2 terms only

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

Here 3 is a constant multiplied by [tex]n^2[/tex]

So, [tex]3n^2[/tex] is one term

Each term in an algebraic expression is separated by a + sign or - sign

Thus there are two terms in mario expression

The area of new circle is 5625π square inches.

Step-by-step explanation:

Given,

Area of circular plate = 625π square inches

Let,

Radius = r

Area of circular plate = πr²

[tex]\pi r^2=625\pi[/tex]

Dividing both sides by π

[tex]\frac{\pi r^2}{\pi}=\frac{625\pi}{\pi}\\\\r^2=625[/tex]

Taking square root on both sides

[tex]\sqrt{r^2}=\sqrt{625}\\r=25[/tex]

The radius of plate is 25 inches.

When the radius is tripled = 25*3 = 75 inches

New area of circle = πr²

New area of circle = [tex]\pi (75)^2\\[/tex]

New area of circle = [tex]5625\pi[/tex] square inches

The area of new circle is 5625π square inches.

Keywords: circle, area

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Final answer:

The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, which yields the solutions x = -2 and x = 2.

Explanation:

The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, using synthetic division, or by using numerical methods such as graphing or using a calculator. Let's use factoring to find the solution.

We can begin by factoring out the greatest common factor, which is 1:

x³ + 2x² - 4x - 8 = (x + 2)(x² - 4)

We can further factor the quadratic term using the difference of squares:

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

So, the solutions to the equation are x = -2 and x = 2.

Answer:

The Answer is Line B

Step-by-step explanation:

the points that make up the graph is ( 0,2) and (1,0)

Answer:

Line B

Step-by-step explanation:

The final discounted price is $18.6

Step-by-step explanation:

In this problem we have to decrease the value of $20 by 7%.

First of all, we have to calculate the 7% of $20. We can do it as follows:

[tex]d=\frac{7}{100}\cdot 20 = 1.4[/tex]

This means that the 7% of $20 is 1.4$.

Now we want to decrease the original value by 7%, so we calculate the difference:

[tex]f=20 - d = 20-1.4=18.6[/tex]

So, the final discounted price is $18.6

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Answer:

Equation for the area of a circle- π r²

The 2 radiuses are 6 and 9.

6 squared is 36 and 9 squared is 81.

The smaller one is 36π and the larger one is 81π.

The difference between them is the area of the shaded region.

81π - 36π = 45π

Use 3.14 for π.

45 x 3.14 = 141.3 u²

Hope this helps!

A circle is a curve sketched out by a point moving in a plane. The area of the shaded region is equal to 141.37 cm²

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The area of the shaded region can be found by subtracting the area of the larger circle from the area of the smaller circle. Therefore, the area of the shaded region is,

Area = π(9 cm)² - π(6 cm)²

        = 141.37 cm²

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Answer:

[tex]\overline{FG}[/tex]

Step-by-step explanation:

When two line segments intersects, then they have a common point.

From the diagram FG intersects EF

Also HG intersects EF

From the given options, the correct answer is [tex]\overline{FG}[/tex]

Therefore the first choice is correct

You have the ratios set up but you need to cross multiply everything:

(5x + 10) x 11 = 121 x 10

55x + 110 = 1210

Subtract 110 from both sides:

55x = 1100

Divide both sides by 55:

X = 1100 / 55

X = 20

Answer:

15

Step-by-step explanation:

Substitute in the values

2 X 3 = 6

21 - 6 =15

To find the value of 21 - 2a when a = 3, substitute 3 for a and simplify to get 21 - 6, which equals 15.

The student has asked to find the value of the expression 21 - 2a given that a = 3. To solve for the expression, substitute the value of a into the expression:

21 - 2(3) = 21 - 6 = 15.

Therefore, the value of the expression when a is 3 is 15.

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Answer:36

Step-by-step explanation: if 2 out of 9 or red and there are 8 red that means that divide 8 by to get 4 * 9 + 36

By using the theoretical probability formula, the total number of grapes in the bag is 36

From the question, we are to determine how many grapes are in the bag

Let the total number of grapes in the bag be x

From the probability formula,

[tex]P(A) = \frac{Number\ of\ favorable \ outcomes \ to \ A }{Total\ number\ of\ possible\ outcomes}[/tex]

Let R represent red grapes,

Then,

[tex]P(R) = \frac{Number\ of\ favorable \ outcomes \ to \ R }{Total\ number\ of\ possible\ outcomes}[/tex]

From the given information,

P(R) = 2/9

Number of favorable outcomes to R = 8

Therefore,

[tex]\frac{2}{9} = \frac{8}{x}[/tex]

2x = 9 × 8

2x = 72

x = 72 / 2

x = 36

Hence, the total number of grapes in the bag is 36.

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Answer:4.25 tons

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 7 = -1/2(x - 6)

y + 7 = -0.5x +3

y = -0.5x - 4

Answer:

y=-1/2x-4

Step-by-step explanation:

first distribute the -1/2 into both terms in the parentheses. next solve for y by subtracting 7 from both sides. combine like terms

Answer:

Not to sure if this is correct but I think it is 6: 1 : 18

pls msg me if you need explanation

Answer:

[tex]The\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k\\\\Where\ k\ is\ total\ yarn\ in\ kg.\\\\If\ k=2\ kg\\\\h=5\ hats,\ s=10\ scarves[/tex]

Step-by-step explanation:

[tex]Number\ of\ hats=h\\\\Number\ of\ scarves=s[/tex]

Total Number of items:

[tex]Total\ items=15\\\\Total\ number\ of\ items=Number\ of\ hats+Number\ of\ scarves\\\\Total\ Number\ of\ items=h+s\\\\h+s=15.......................................eq(1)[/tex]

Total yarn used:

[tex]Yarn\ used\ in\ 1\ hat=0.2\ kg\\\\Yarn\ used\ in 1\ scarf=0.1\ kg\\\\Yarn\ used\ in\ hats=Yarn\ used\ in\ 1\ hat\times Number\ of\ hats\\\\Yarn\ used\ in\ hats=0.2\times h=0.2h\\\\Yarn\ used\ in\ scarves=Yarn\ used\ in\ 1\ scarf\times Number\ of\ scarves\\\\Yarn\ used\ in\ hats=0.1\times s=0.1s\\\\Total\ yarn\ used=0.2h+0.1s\\\\If\ total\ yarn=k\ kg\\\\Solution\ of\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k[/tex]

[tex]if\ k=2\\\\h+s=15...............eq(2)\\\\0.2h+0.1s=2.......eq(3)\\\\eq(2)-0.2\times eq(3)\\\\0.1s=1\\\\s=10\\\\From\ eq(2)\\\\h=15-s\\\\h=5\ hats[/tex]

Answer:

No and yes.

Step-by-step explanation:

Turn both to percentages. Move the decimal point over two spots to the right, making 2%. Multiply the fraction by 2 to get 2/100. PerCENT. A dollar is 100 cents. The fraction as a percentage is 2%. They are equal.

Yes, 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Explanation:

0.02 can be represented as [tex]\( \frac{2}{100} \)[/tex], which simplifies to [tex]\( \frac{1}{50} \)[/tex].

Since [tex]\( \frac{2}{100} \)[/tex] is greater than [tex]\( \frac{1}{50} \)[/tex], it follows that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Step-by-step explanation:

1. Convert 0.02 to a fraction: [tex]\( 0.02 = \frac{2}{100} \)[/tex].

2. Compare [tex]\( \frac{2}{100} \)[/tex] with [tex]\( \frac{1}{50} \)[/tex].

3. Simplify [tex]\( \frac{2}{100} \) to \( \frac{1}{50} \)[/tex].

4. Since [tex]\( \frac{1}{50} \)[/tex] is smaller than [tex]\( \frac{1}{50} \)[/tex], we conclude that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Answer:

0

Step-by-step explanation:

8 + - 4 - 4

(goes in the 2nd box)

0

(goes in the last empty box)

Answer:

[tex](9x-5)\ units[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The perimeter of a triangle is the sum of the length of their three  sides

so

[tex]P=a+b+c[/tex]

where

a,b,c are the length sides of the triangle

In this problem we have

[tex]P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units[/tex]

substitute and solve for the missing length

[tex](16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units[/tex]

Answer:

Triangle W X Z is congruent to triangle Z Y X

Step-by-step explanation:

Answer:

its acctually Triangle W X Z is congruent to triangle Y Z X

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

BD is 1/2 the size of AE which is derived from the property of midpoints and the parallel lines.

Therefore if BD = 35, AE is twice as long.

AE = 70