On a map the distance between two towns is 12 centimeters. If 3 centimeters represents 90 miles what is the actual distance between the cities in miles

We start with

[tex]\sqrt{2x+4}=16[/tex]

Since both sides of the equality are positive, we can square them to get

[tex]2x+4=256[/tex]

Subtract 4 from both sides and then divide both sides by 2:

[tex]2x+4=256 \iff 2x=252\iff x=126[/tex]

Answer:

x=126

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

b.) 76

Step-by-step explanation:

A triangles angles will always add up to a total of 180°.Since both angles B and C are x, they have the same value. So to find their value, add the choices to 28 twice until you get 180:

[tex]28+76+76=180[/tex]

Or, you can make and equation. 180 on one side of the equation. On the other side, put both x's (2x) plus the value of angle A:

[tex]2x+28=180[/tex]

Solve for x:

[tex]2x+28-28=180-28\\2x=152\\\\\frac{2x}{2}=\frac{152}{2}\\ x=76[/tex]

Finito.

Answer: -2 (sqrt:6)/5

Step-by-step explanation:

Answer:

The answer is -(2 sqroot 6)/(5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are gonna use "dollars" instead of "soles.

According to the problem, tickets cost $30 for adults and $20 for children.

Last Saturday assisted 248 people which gave a total of $5930.

To know the number of adults and children were there, we need to defined a system of equations.

[tex]x+y=248\\30x+20y=5930[/tex]

Where [tex]x[/tex] represents adults and [tex]y[/tex] represents children.

First, we multiply the first equation by -20

[tex]-20x-20y=-4960[/tex]

Then, we sum this equation with the second one

[tex]10x=970\\x=97[/tex]

There were 97 adults.

Now, we use this value to find the other one

[tex]x+y=248\\97+y=248\\y=248-97\\y=151[/tex]

There were 151 children.

Therefore, 97 adults and 151 children assisted to that show.

Answer:

The probability of choosing tiles which sum is 12 is 1/21

Step-by-step explanation:

The numbers we have is 1.2,3,4,5,6 and 7

The sum we are looking at is 12. The only sum that can give us this sum is the addition of 7 and 5

There are only two ways we can make this selection if order matters.

Either we pick 5 first then 7 second or 7 first and 5 second

The probability of picking a 5 first will be 1/7, since it is without replacement , the probability of picking a 7 next will be 1/6

The joint probability here would thus be 1/7 * 1/6 = 1/42

In the other second case where we are picking a 7 first and a 5 second, the probability here will be the same as first just that we reversed the other. Hence, the probability here is also 1/42

Now, the probability of either of the two orders happening will be 1/42 + 1/42 = 2/42 = 1/21

Final answer:

The probability of choosing tiles whose sum is 12 is 1/49.

Explanation:

Probability of choosing tiles whose sum is 12:

Number of favorable outcomes: 1 (getting two tiles that sum up to 12, which is 6+6)Total number of possible outcomes: 7*7 = 49 (as there are 7 choices for each tile)Probability = Number of favorable outcomes / Total number of possible outcomes = 1/49

Answer:

(5/3,5)

Step-by-step explanation:

The solution to the system of equations y = 13x - 1 and y = 5 is (6/13, 5).

To find the solution to the system of equations y = 13x - 1 and y = 5, we can substitute the second equation directly into the first one. Since both equations equal y, they must equal each other, thus:

13x - 1 = 5.

We can then solve for x:

Add 1 to both sides: 13x = 6

Divide both sides by 13: x = 6/13

Having determined the value of x to be 6/13, we can substitute this back into either equation to find y. Using the simpler one, y = 5.

Thus, the solution to the system of equations is (6/13, 5).

Answer:

54 square units

Step-by-step explanation:

12 times 9 = 108

108 divided by 2 equals 54

Answer:

126 plz mark me brainliest.

Step-by-step explanation:

Answer:126

Step-by-step explanation:

Answer:

A. 56.52 cm

Step-by-step explanation:

Formula:

Circumfrence= 2πr

r(radius) = 9 cm

C = 2πr

C = 2 x 3.14 x 9 cm

C = 6.28 x 9 cm

C = 56.52 cm

Circumfrence is 56.52 cm

The circumference of the circle is 56.52cm (A)

To calculate the circumference of a circle, the formula is Circumference (C) = 2πr.

Where;

radius (r) = 9cm

π = 3.14

Substitute the values into the formula.

C = 2 x 3.14 x 9

C = 56.52 cm

Therefore, the circumference of the circle is 56.52cm (A)

Learn more about Circumference:

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Answer:

0 times, it's too big of a number to go into 6.

Answer:

The example stated indicate that there is no difference in the means of the two samples

Step-by-step explanation:

Solution

Recall that

The Confidence interval in the mean length of male (sample 1) and female sample (2) babies,which is,

Male babies= sample 1

Female babies = sample 2

What is the difference in length between male and female babies as suggested by the Confidence interval

Now,

The calculated Confidence interval is given as:

-0.2 < mu1 - mu2 < 1.7

So,

0 is included in the above CI, this indicates or suggests that there is no difference in the means of the two samples

Answer:

The product of the real and complex number given is -10+40i

Step-by-step explanation:

The general form of a complex number is expressed as z = x+iy where

x is the real part and y is the imaginary part.

Given a complex and a real value as shown

z1 = −2+8i and z2 = 5+i0

Taking their product;

z1z2 = (−2+8i)(5+i0)

z1z2 = -10+0+40i+0

z1z2 = -10+40i

According to the product of the complex numbers, the resulting real part is -10 and the complex part is 40.

The representation on the complex plane is as shown in the attachment.

The complex number −2+8i has modulus of (1. 2√17)

When −2+8i is multiplied by 5, the modulus of the product is (2. 10√17)

Multiplying a complex number by a real number results in a scalar of the complex number. The quadrant location of the complex number and its product with (3. a positive real number) are the same.

Answer:

$1,467.20

Step-by-step explanation:

Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20

To calculate 28% of $5600, multiply 5600 by 0.28. The result is $1568, which is 28% of Adeva's gross monthly income.

The issue is figuring out 28% of Adeeva's gross monthly salary, which is fixed at $5600. The calculation is simple to perform using the (Amount/Total) x 100 rule for percentage calculations. The decimal equivalent of 28% is 0.28, so multiply $5600 by that number to get 28%. The computation yields a value of $1568. Therefore, $1568 or 28% of Adeeva's gross monthly revenue. By analyzing particular sections of overall profits, this technique demonstrates a fundamental use of percentages, enabling accurate financial computations and planning.

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Answer:

Approximately 4.47 or the square root of 20.

Step-by-step explanation:

use distance formula

Answer:

false

Step-by-step explanation:

ye you welcome

Answer:

84 cm^3

14080 cm^3

81 cm^3

Step-by-step explanation:

Remember the formulas for volume, and you're golden.

a) V(prism) = area of base * height

                  = 12 cm^2 * 7 cm = 84 cm^3

b) V(prism) = area of base * height

                  = 88 cm^2 * 160 cm = 14080 cm^3

c) V(cylinder) = area of base * height

                      = 54 cm^2 * 1.5 cm = 81 cm^3

Answer:

84 cm^3

14080 cm^3

81 cm^3

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

with what

Answer:

-2 is the slope of the line

Step-by-step explanation:

The slope is what number you are multiplying x by in the equation. In the equation, x is being multiplied by -2. Therefore, the slope of the line represented by the equation is -2.

Answer:

The distance between opposite corners of the living room is 30ft

Step-by-step explanation:

This can be thought of as a right triangle and we want to know its hypotenuse

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 18ft

b = leg 2 = 24ft

h² = a² + b²

we replace the known values

h² = (18ft)² + (24ft)²

h² = 324ft² + 576ft²

h² = 900ft²

h = √(900ft²)

h = 30ft

The hypotenuse is 30ft

Answer:

The equation is c=25h+30 and the answer is 205

Step-by-step explanation:

Plug in 7 for h.

Answer:

(0,4)

Step-by-step explanation:

The y intercept is where the x value is zero

x=0 and y =4

The y intercept is (0,4)

Answer:

28.8 °

Step-by-step explanation:

100% = 360 °

8%  =  [tex]\frac{8*360}{100}[/tex] = 28.8 °

Answer:

No

Step-by-step explanation:

All whole numbers, positive, negative, and 0 are integers.

Answer: B) -4 and E) 4

Step-by-step explanation:

Edg 2022

Answer:

solution: (9, 3) ,   x = 9, y = 3

Step-by-step explanation:

Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21

convert to algebra.

- 4x + 6y = -18 ;

y = -2x + 21;

let us solve this with elimination

change -4x + 6y = -18  to  -2x + 3y = -9

get:  -2x  + 3y = -9

and  2x + y = 21

add.

-2x + 2x + 3y + y = -9 + 21

4y = 12

y = 3

2x + (3 ) = 21

2x = 18

x = 9

(9, 3)

Answer:

A.(9,3)

Step-by-step explanation:

Answer:

The concentration is 12M

Step-by-step explanation:

In this question, we are asked to calculate the concentration of the alkali given the information in the question.

To answer this question correctly, the first thing to do is to write the complete chemical equation of the reaction of the acid and the alkali. We identify that LiOH is the alkali and HCl is the acid

LiOH + HCl ———-> LiCl + H2O

we can deduce that 1 mole of the acid used up a mole of the base.

Now, we use the titration formula;

CaVa/Na. = CbVb/Nb

since Na= Nb = 1 i.e number of moles , we can just write the formula to be

CaVa. = CbVb

Where Ca is the concentration of the acid which is 4M

Va is the volume of acid used which is 60mL

Cb is the concentration of the base which is ?

Vb is volume of base which is 20mL

Plugging these values, we have;

4 * 60 = Cb * 20

Cb = 240/20

Cb = 12M

The concentration of the base is thus 12M

Answer: Option C.

Step-by-step explanation:

We have functions of r(θ)

In our graph, we can see that the minimum value of r is when θ = 0°, and the maximum value is when θ = 180°.

We also know that the graph is in the square (-5, 5)x(-5, 5) and you can see that the maximum radius is almost less than 5.

Then let's analyze the options:

A) r = 3 - 2*cos(θ)

the maximum is at the right angle, but the maximum is:

r = 3 -2*(-1) = 5, so this maximum value is bigger than the one in the graph.

B) r = 3 - sin(θ)

For the sin functions, the maximum and minimum do not correspond with the values i write earlier, so we can discard this option.

C) r = 3 - cos(θ)

The maximum is: r = 3 - (-1) = 4, so this may be the correct answer.

the minimum is r = 3 - 1 = 2,

this is a possible equation for our circle.

D) r = 2 - 2*cos(θ)

Here, when θ = 0, we have: r = 2 - 2*1 = 0, but in the graph we can see that the radius is not 0 when θ = 0, so we can discard this option.

So the only option that makes sense is option C.

The answer is D. x2 + 6x + 9 i just took the assignment

Final answer:

The expression that represents the area of a square plaza with side length 2x + 3 is x^2 + 6x + 9.

Explanation:

The question is asking to determine the expression that represents the area of a square plaza. The formula to calculate the area of a square is the length of one side squared (s2). If the side length is represented by the expression 2x + 3, then the area will be (2x + 3)2. When this binomial is squared, it follows the formula (a + b)2 = a2 + 2ab + b2, which leads to (2x)2 + 2(2x)(3) + (3)2 = 4x2 + 12x + 9. So, the correct expression representing the area of the plaza is x2 + 6x + 9.

Answer:

19

Step-by-step explanation:

[tex](9 + 5) + (3 + 2) \\ = (14) + (5) \\ = 19[/tex]