The Lopez family took a taxi to there next destination. The cost of the taxi was 4 dollars plus 3 dollars for each mile traveled.When they arrived the total cost 37 dollars how far did they go in the taxi

Answer: x > 5

Step-by-step explanation: To solve for x in this inequality, your goal is the same as it would be if you were solving an equation, to get x by itself on one side.

Since 8 is being subtracted from x, add

8 to both sides of the inequality.

On the left the -8 +8 cancels out

and on the right, -3 + 8 is 5.

So we have x > 5.

Answer:

c

100 cm squared = base; 10 cm = height

Step-by-step explanation:

1/3 of 100 is 33.33 repeating so that times ten is 333.1/3 yards.

hope this helps!

Answer:

Length: 7 units

Width: 1 unit

Step-by-step explanation:

The length of rectangle is 7 units.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the length of rectangle be x.

Then, width of the rectangle = x - 6

Also, Area of rectangle = 7 units

So, length x width = 7

x(x- 6)= 7

x² - 6x = 7

x² -6x -7 =0

x² -7x + x - 7=0

x( x- 7) +1 (x- 7)= 0

(x+ 1)(x- 7)=0

x= -1 or 7.

Hence, the length of rectangle is 7 units.

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The question asks for the sample size that gives a margin of error of ±4.0. Without information on the z-score or standard deviation, it's not possible to accurately answer this question based on these values which are crucial for correctly calculating the sample size.

The question is asking for the sample size that would produce a margin of error of ±4.0. The margin of error (E) is calculated using the formula E=Z *(σ/√n), where Z is the z-score, σ is the population standard deviation, and n is the sample size. Without information about the z-score or standard deviation, it isn't possible to sufficiently answer this question based just on these choices. These values are vital for a proper calculation of the sample size.

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Answer:

B

Step-by-step explanation:

Only B is correct bc if u count the amount of blocks (people) that r above 63 inches that would only be the red and purple ones.

The blue blocks r 63 in and below, so u dont count them

4 red blocks + 3 purple= 7 players

Answer:

7 cups of soda

Step-by-step explanation:

If we call the number of cups you buy by "x", we have that the price for the refillable cup P1 is:

P1 = 6 + 0.79*x

And the price for the other option is:

P2 = 1.69*x

To find how many sodas do you need to buy to make it work buying the refillable cup, you just need to equate the two prices and find the value of x:

P1 = P2

6 + 0.79*x = 1.69*x

0.9*x = 6

x = 6/0.9 = 6.6667 cups

So, you need to buy at least 7 cups of soda to make the refillable cup worth it.

Answer:

a

Step-by-step explanation:

im not sure how to explain but hope this helps

Answer:

-23

Step-by-step explanation:

-23 is the answer

The sum of the two integers if they are 5 units apart on the number line, and their product is 126 is -23

System of equations are equations that contain unknown variables with more than 1 equation.

Let the required integers be x and y.

If two negative integers are 5 units apart on the number line, then;

x - y = 5
x = 5  + y

If their product is 126, hence:

x y = 126

Substitute

5+y(y) = 126
5y + y^2 = 126
y^2 + 5y - 126 = 0

Factorize
y^2 + 14y - 9y - 126 = 0
y(y + 14) - 9(y + 14) = 0
y = 9 and  - 14

Since the integers are negative, hence;

x =  5 + y
x = 5 - 14
x = -9

Sum = -14 + (-9)
sum = -23

Hence the sum of the two integers is -23

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Answer:

n=2

2(n+8)=20

2n+16=20

     -16  -16

2n=4

/2   /2

n= 2

Hope this helps :)

The required value of n is 2.

We have to determine, two times the sum of a number and 8 is twenty. What is the number.

To obtain the number calculation must be done in a single unit;

Here,

Let the number be n,

And sum of number n and 8 is (n+8).

Therefore,

Two times sum of the number = 20

[tex]2 (n+8) = 20 \\\\2n + 2 \times8 = 20\\\\2n + 16 = 20\\\\2n = 20-16\\\\2n = 4 \\\\n = \dfrac{4}{2}\\\\n = 2[/tex]

Hence, The required value of n is 2.

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Answer:

Factoring completely would give you the answer of ( x+5) (x^3 +4).

Step-by-step explanation:

The factor are (x³ + 4) and (x + 5).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

[tex]x^4[/tex] + 5x³ + 4x + 20

We can find the common factor between [tex]x^4[/tex] and 5x³.

So,

x³ (x + 5) _____(1)

And,

We can find the common factor between 4x and 20.

So,

4 (x + 5) ______(2)

From (1) and (2),

x³ (x + 5) + 4 (x + 5)

= (x³ + 4) (x + 5)

Thus,

The factor are (x³ + 4) and (x + 5).

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Answer: 1.98 ft

Step-by-step explanation: 45(.8)^14

Answer:

that is the answer to the question

Answer:

105°

Step-by-step explanation:

I did the test

Answer:

the answer is 105

Step-by-step explanation:

hope it helps you out a lot :)

Answer:

Option A) 0.588

Step-by-step explanation:

We are given the following in the question:

In triangle ABC

AC = 8 cm

AB = 13.6 cm

We have to find the sine ratio of angle B.

We define sine ratio of angle B as:

[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Putting values, we get,

[tex]\sin B = \dfrac{AC}{AB} = \dfrac{8}{13.6} = 0.588[/tex]

The attached image shows the triangle.

The correct ansqwer is

Option A) 0.588

Answer:

5.236

Step-by-step explanation:

Take the square root of 5 to get rid of the ^2

You are left with [tex]3 + \sqrt{5} = 5.236[/tex]

The value of x is 0.764 and 5.236

An equation is a mathematical statement that connects two algebraic expression with an equal sign.

The given equation is

(x-3) ² = 5

x² + 9 -6x = 5

x² -6x +4 = 0

The value of x is 0.764 and 5.236.

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Answer:

[tex] volume = 2197 \pi~in.^3 \approx 6902.1~in.^3 [/tex]

Step-by-step explanation:

[tex] base~ area = 169 \pi~in.^2 [/tex]

The base of the cylinder is a circle.

The area of a circle is:

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

We set the area equal to the formula and find the radius.

[tex] \pi r^2 = 169 \pi~in.^2 [/tex]

[tex]r^2 = 169~in.^2[/tex]

[tex]r = 13~in.[/tex]

The radius of the base is 13 inches. The height of the cylinder is also 13 inches.

[tex] volume = base~area \times height [/tex]

[tex]volume = 169 \pi~in.^2 \times 13~in.[/tex]

[tex] volume = 2197 \pi~in.^3 \approx 6902.1~in.^3 [/tex]

Answer:

x=72 x = 7 2

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

First, distribute the 9 on the left side  

9(3-2x)=2(10-8x)  

(9*3)+(9*-2x)= 2(10-8x)

27-18x= 2(10-8x)

Next, distribute the 2 on the right side

27-18x=(2*10)+(2*-8x)

27-18x=20-16x

Now, move all the numbers to one side of the equation, and the variables to the other.

27-18x=20-16x

Add 18x to both sides

27-18x+18x=20-16x+18x

27=20+2x

Subtract 20 from both sides

27-20=20-20+2x

7=2x

Now all the variables are on one side, and the numbers are on the other. x is still not by itself. It is being multiplied by 2. To undo this, divide both sides by 2

7/2=2x/2

7/2=x

Answer:1/4

Step-by-step explanation:there are four sides one is shaded so the answer is 1/4

The shaded area is equal to 1/4

Answer: 1/8 inch

Step-by-step explanation: just got it

Answer:

1/8 inches

Step-by-step explanation:

We have been given that a person invests 5500 dollars in a bank. The bank pays 6.75% interest compound monthly. We are asked to find the time that will take the amount to 13,200 dollars.

We will use compound interest formula to solve our given problem.  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

[tex]6.75\%=\frac{6.75}{100}=0.0675[/tex]

Upon substituting our given values in above formula, we will get:

[tex]13200=5500(1+\frac{0.0675}{12})^{12\cdot t}[/tex]

[tex]13200=5500(1+0.005625)^{12\cdot t}[/tex]

[tex]13200=5500(1.005625)^{12\cdot t}[/tex]

[tex]\frac{13200}{5500}=(1.005625)^{12\cdot t}[/tex]

[tex]2.4=(1.005625)^{12\cdot t}[/tex]

Now we will take natural log on both sides.

[tex]\text{ln}(2.4)=\text{ln}((1.005625)^{12\cdot t})[/tex]

Using natural log property [tex]\text{ln}(a^b)=b\cdot \text{ln}(a)[/tex], we will get:

[tex]\text{ln}(2.4)=12t\cdot \text{ln}(1.005625)[/tex]

[tex]t=\frac{\text{ln}(2.4)}{12\cdot \text{ln}(1.005625)}[/tex]

[tex]t=13.00635[/tex]

Upon rounding to nearest tenth, we will get:

[tex]t\approx 13.0[/tex]

Therefore, it will take approximately 13.0 years for the amount to reach $13200.

Answer:

-10

Step-by-step explanation:

in the equation y=mx+b, b represents your y-intercept

The y-intercept of the line y = 4x - 10 is -10.

The y-intercept of the line y = 4x - 10 can be found by looking at the equation's form, which is in the slope-intercept form y = mx + b. In this form, m represents the slope and b represents the y-intercept. So, the y-intercept of the given line is -10.

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To find the length of Y in a right triangle given X = 6 cm and Z = 10 cm, we can use the Pythagorean theorem. By substituting the values into the formula Y = √(X² + Z²), we find that the length of Y is approximately 11.66 cm.

To find the length of Y, we can use the Pythagorean theorem. Since X and Z are the lengths of the legs of a right triangle, Y represents the length of the hypotenuse.

Using the formula: Y = √(X² + Z²), we can substitute the given values: Y = √(6² + 10²) = √(36 + 100) = √136 = 11.66 cm.

Therefore, the length of Y is approximately 11.66 cm.

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Answer:

y = 225x + 28,000 (please give branliest)

Step-by-step explanation:

X = amount of tickets

4 because

X=(6-2):2= 4:2= 2 color pencils for Janet and 2 color pencils for Talia= originally 4 pencils

Answer:

t/w

Step-by-step explanation:

you can divide the total of money by the total amount of shares to find the price of each share.

An expression for the price he paid per share is: t / w

The expression for the price Jack paid per share of Xerox stock can be written as the total amount he spent divided by the number of shares purchased. Mathematically, this can be expressed as:

Price per share = Total amount spent / Number of shares purchased

In symbols, this can be represented as:

Price per share = t / w

Thus, we conclude that the price per share is t / w

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Answer:

[tex]5x + 2 - x + 10 \\ 5x - x + 2 + 10 \\ 4x + 12 \\ = 4(x + 3)[/tex]

hope this helps you....

Answer:9

Step-by-step explanation:

The answer is jus 9 take the answer

4n-5 is 4n-5 if you do not know the variable term for n If tou can figure out what the n term is just multiply that by 4