How is writing expressions with variables and numbers similar to writing expressions using words?

Whoever answers this first will get brainliest.

[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]

First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).

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

2 + 3 = [tex]\frac{1}{4}[/tex]x

[tex]\frac{1}{4} x = 5[/tex]

Now, we will multiply both sides by 4, so as to find x.

[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4

x = 20

Therefore, x = 20.

Answer:

1. blue

2. blue because I measured both lines with a ruler.

3. this one was harder to decide because when I look at the picture both lines look the same length but since I measured both lines with a ruler I realized that the blue line was longer that the red line.

Step-by-step explanation:

I actually measured both lines with a ruler and the blue line is just barely bigger that the red line

Answer:

$6769

Step-by-step explanation:

To calculate the amount, we make use of the compound interest formula

A = P(1+r/n)^nt

where A is the amount which we are to calculate

P is the amount deposited which is $5,600

r is the rate which is 1.9% or 1.9/100 = 0.019

t is the number of years = 10

n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)

Plugging all these values, we have

A = 5,600(1+ 0.019/4)^40

A = 5,600( 1 + 0.00475)^40

A = 5,600(1.00475)^40

A = $6768.75

Which is $6769 to the nearest dollars

Answer: A

Step-by-step explanation:

Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.

The length between is the number 9 , just add 29 to 20 which is just 9 more numbers

Answer:

The absolute value vertex is  

( − 8 , − 3 ) .

Step-by-step explanation:

Answer:

3y = 4 or 3y - 4 =0

Step-by-step explanation:

[tex] \frac{4}{3} = y \\ 4 = 3y \\ 3y - 4 = 0 \\ [/tex]

Answer:

x+22

Step-by-step explanation:

you don't know what elevation you are on and you need to go up 22 feet more to the ledge above you.

Answer:

[tex]y=2/3x+4[/tex]

Step-by-step explanation:

[tex](0,4);(-6,0)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-0}{0-(-6)} =\frac{4}{6}=\frac{2}{3}[/tex]

Answer:

the graph translated down 3 or y-3

Step-by-step explanation:

(-3) is the y-intercept

Answer:

{(2^4) }^2

=16^2

= 256

................

Answer:

256

Step-by-step explanation:

Answer:

500/3

Step-by-step explanation:

just did it on edg!

Answer:

9

Explanation: the answer is 9 because 15 is 3 times 5 so you would have to multiply 3 by 3 to mark it to scale.

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

Answer:

13.125 cubic inches

Step-by-step explanation:

Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches  

Answer:

They need five weeks to make all their travels.

Step-by-step explanation:

Given that Cesar and Jocelyn are planning their trips to three countries next year.

One trip will be one week long, another two days, and the other two weeks.

In conclusion, they need five weeks to make this travel.

Answer: [tex]12\sqrt{5}[/tex]

Step-by-step explanation:

[tex]3\sqrt{88}[/tex]

88 can be rewritten as 8 x 10 and 8 can be rewritten as [tex]2^2*2[/tex] making a 2 come out of the root.

[tex]3\sqrt{2^2*2*10}\\ 3*2\sqrt{2*10}\\6\sqrt{2*10}[/tex]

10 can be rewritten as 2 x 5.

[tex]6\sqrt{2*2*5}[/tex]

2*2 can also be rewritten as [tex]2^2[/tex] making a 2 come out of the root.

[tex]6\sqrt{2^2*5}\\ 6*2\sqrt{5}\\ 12\sqrt{5}[/tex]

We can't keep simplifying the root.

Answer:

[tex]g(x)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

got it right

g(x) = - √x + 3 +8 has the same range.

The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.

The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.

Learn more about the range of a function here: https://brainly.com/question/24137224

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Answer: A

Step-by-step explanation:

We know the y intercept is -6 so the first point will be  (0,-6)   and we also know that the slope is  2/1  so after plotting (0.-6) you will have to go up by two and  1 unit to the right.  

Answer:

The answer is A!

Step-by-step explanation:

I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)

Answer:

x = 7

y = 8

Step-by-step explanation:

Knowing that the mean is equal to the median, we can formulate the following equation:

⅕(4 + 6 + x + y + 10) = x

Simplifying it, we get:

y = 4x - 20

Now, we know that both x and y are between 6 and 10 and that y is greater than x;

Mathematically, we have the conditions:

6 =< x =< 10

6 =< y =< 10

y > x

If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;

This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;

Once we know this, we can find y simply by subbing it into the equation formulated previously:

y = 4(7) - 20

y = 8

Answer:

(x-9)(x+1)

Step-by-step explanation:

factor using the box method or quadratic formula.

Answer:

(x - 9)(x + 1)

Step-by-step explanation:

Given

x² - 8x - 9

Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)

The factors are - 9 and + 1, since

- 9 × 1 = - 9 and - 9 + 1 = - 8, thus

x² - 8x - 9 = (x - 9)(x + 1)

Hey there! I'm happy to help!

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WHAT IS THE PERIMETER?

The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.

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WHAT IS AN ISOSCELES TRIANGLE?

An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!

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THE SOLUTION

In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.

The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.

Therefore, the perimeter of this isosceles triangle is 2a+c.

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I hope that this helps! Have a wonderful day! :D

The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.

Apply the BODMAS rule to simplify the algebraic expression.

Given that the expression is [tex]2[32-(4-1)][/tex]

First, simplify the bracket [tex](4-1)[/tex]

Then, [tex]2[32-(4-1)]=2[32-3][/tex]

Simplify the bracket [tex][32-3][/tex]

Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]

Multiply the numbers [tex]2[/tex] and [tex]29[/tex]

[tex]2[/tex] × [tex]29=58[/tex]

Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].

Learn more about simplification here-https://brainly.com/question/17579585

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Answer:

what is the figure my guy

Step-by-step explanation: blah blah blah math blah blah blah

Answer:

y = x² -8x + 16

Step-by-step explanation:

y = (x -4)^2

y = (x -4) * (x -4)

use the FOIL method

y = x*x -4x -4x +16

y = x² -8x + 16

Answer:

[tex]y = \frac{\sqrt{3}}{2}} \\\\[/tex]

Step-by-step explanation:

We are given a point P which lies on a unit circle

P  = (-½, y)

Where x coordinate is -½ and y coordinate is y.

We are asked to find the value of y in simplest form.

Recall that a unit circle has a radius of 1 and is centered at the origin that is (0,0).

The equation of the unit circle is given by

[tex]x^{2} + y^{2} = 1[/tex]

Since the point P lies on a unit circle, we can substitute this point into the equation of unit circle and get the value of y.

Substitute x = -½ and y = y

[tex](-\frac{1}{2} )^{2} + y^{2} = 1\\\\(\frac{1}{4} ) + y^{2} = 1\\\\y^{2} = 1 - \frac{1}{4} \\\\y^{2} = \frac{3}{4} \\\\y = \pm \sqrt{\frac{3}{4}} \\\\y = \pm \frac{\sqrt{3}}{2}} \\\\[/tex]

Assuming that the given point P lies in the 2nd quadrant, the value of y will be positive.

[tex]y = \frac{\sqrt{3}}{2}} \\\\[/tex]

Therefore, the coordinates of the point P are

[tex]P =( -\frac{1}{2} , \frac{\sqrt{3}}{2}}) \\\\[/tex]

Answer:

(1)x=-24

(2)Another pair of equivalent ratio is:

[tex]\dfrac{-64}{x+5}=8$ where $x=-13[/tex]

Step-by-step explanation:

Given the ratio:

[tex]\dfrac{-294}{x+10}=21[/tex]

Part 1: We determine the value of x.

[tex]\dfrac{-294}{x+10}=21\\$Cross multiply$\\21(x+10)=-294\\21x+210=-294\\$Collect like terms$\\21x=-294-210\\21x=-504\\$Divide both sides by 21$\\x=-24[/tex]

Part 2: We write another pair of equivalent ratios.

Let

[tex]\dfrac{-64}{x+5}=8\\$Cross multiply$\\8(x+5)=-64\\8x+40=-64\\$Collect like terms$\\8x=-64-40\\8x=-104\\$Divide both sides by 8$\\x=-13[/tex]

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]

-4x + 60 = 0

-4x = -60

[tex] x = \frac{-60}{-4} = 15 [/tex]

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

Answer:

the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)