A survey was conducted with S students 30% of those surveys said that they have traveled out of the country. Of the students who have never been out of the country 40 students had eventually travel to another Country write an algebraic expression that represents the students who never want to travel to another country

To find the expression for the cost of low-energy lamps and high-energy lamps, use the expressions 4A and 5B respectively. To find the values of A and B that make the total cost equal $120, solve the equation 4A + 5B = 120.

To write an expression for how much the electrician spends on low-energy lamps and high-energy lamps, we can use the following expressions:

Cost of low-energy lamps: 4A

Cost of high-energy lamps: 5B

To complete the table, we need to calculate the values of A and B such that the total cost equals $120. Since all of the $120 is spent, the expression for the total cost would be:

Total cost: 4A + 5B = 120

We can solve this equation to find the values of A and B.

It's the triangle 30° - 60° - 90°.

The sides are in proportion 1 : √3 : 2 (look at the picture).

Therefore we have:

[tex]x=\dfrac{\sqrt6\cdot\sqrt3}{2}=\dfrac{\sqrt{(6)(3)}}{2}=\dfrac{\sqrt{18}}{2}=\dfrac{\sqrt{(9)(2)}}{2}\\\\=\dfrac{\sqrt9\cdot\sqrt2}{2}=\boxed{\dfrac{3\sqrt2}{2}}[/tex]

Answer:

ok

Step-by-step explanation:

The formula of a Surface Area of a cylinder:

[tex]S.A.=2\pi r^2+2\pi rH[/tex]

r - radius

H - heihgt

We have r = 3mm and H = 16mm. Substitute:

[tex]S.A.=2\pi(3)^2+2\pi(3)(16)=2\pi(9)+2\pi(48)=18\pi+96\pi=114\pi\ mm^2\\\\\pi\approx3.14\to S.A.\approx114\cdot3.14=357.96\ mm^2[/tex]

Answer:

distributive property

Step-by-step explanation:

Distributive property says that x(y + z) = (x*y) + (x *z)

The property used in the given expression is

Distributive property of multiplication over addition.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of multiplication over addition states that,

a(b + c) = a x b + a x c

Now,

3(4 + 5) = (3 x 4) + (3 x 5)

This is the Distributive property of multiplication over addition.

Thus,

The property of distributive multiplication over addition is used.

Learn more about expressions here:

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Answer:

d ≤ 4

Step-by-step explanation:

4d + 7 ≤ 23

Subtract 7 from both sides:-

4d ≤ 16

d ≤ 4

[tex]Solution, 4d+7\le \:23\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]

[tex]Steps:[/tex]

[tex]4d+7\le \:23[/tex]

[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides},\\4d+7-7\le \:23-7[/tex]

[tex]\mathrm{Simplify},\\4d\le \:16[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4,\\\frac{4d}{4}\le \frac{16}{4}[/tex]

[tex]\mathrm{Simplify},\\d\le \:4[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:d\le \:4}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]-Austint1414[/tex]

Considering it's concept, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.

The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.

In this problem, the function is given by:

y = 2x + 3.

The y-intercept is given by:

y = 2(0) + 3 = 3.

Hence, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.

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Answer:

2x + 3y = 6

Step-by-step explanation:

obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

here m = - [tex]\frac{2}{3}[/tex] and c = 2

y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope-intercept form

multiply all terms by 3 to eliminate the fraction

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← in standard form

Answer: The mirror will fit because the height of the mirror is 4 feet.

Step-by-step explanation:

we just divide 15 by 3 3/4 and get the answer of 4.

Yes, the mirror will fit on the wall because its height is approximately 4.25 feet, which is less than the 5-foot tall space on the wall.

To determine whether the mirror will fit, we need to calculate its height. Since the area of a rectangle is given by the formula Area = Height × Width, we can find the height by rearranging the formula to Height = Area ÷ Width.

The given area of the mirror is 15 15/16 square feet and the given width is 3 3/4 feet.

After performing the division, we get the height of the mirror to be approximately 4.25 feet.

Since the space on the wall is 5 foot tall and the height of the mirror is less than this, the mirror will fit on the wall. So, the answer is: Yes, it will fit because the height is 4.25 feet.

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Answer:

v=2-2root7, v=2+2root7  

Step-by-step explanation:

-2v+8(1+2v)=-90

-2-4v^2+8+16v=-90

6-4v^2+16v=-90

-4v^2+16v=-96

v=2-2root7, v=2+2root7

Answer

-2v+8 (1+2v)=-90 then V = -7

Step-by-step explanation:

-2v + 8 x (1 + 2v) = -90

-2v + 8 + 16v = -90

14v + 8 = -90

14v = -98  

V = -98/14

V= -7

Hope this helps ;)

When multiplying terms with exponents, just add the exponents together.

You have x^7 and x^4, so 7 +4 = 11

Y^2 and Y^5 = 2+5 = 7

so it would be -20x^11 y^7

The answer is A.) a=11, b=7

Answer:

x=5 and y=5

Step-by-step explanation:

You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.

So let's plug the first into the second:

First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:

x = 10 - y

Now we substitute 10-y for x in the second equation:

So 2x+4y=30 becomes:

2(10-y) + 4y = 30

And simplify that:

20 - 2y + 4y = 30

20 + 2y = 30

2y = 30-20

2y = 10

y = 5

This is the first answer! If we put this into the first equation, we get:

x = 10 - 5 = 5

Now we have both answers, x=5 and y=5

Answer:

-37

Step-by-step explanation:

Well for the multiplication its easy because if it is different signs then all you have to do is multiply it normally the add the negatuve sign.

6×5=30

-6×5=-30

2. For adding negative number to a negative number you just add it on.

Answer:

-37

Step-by-step explanation:

Remember to follow PEMDAS and the left -> right rule.

PEMDAS:

Parenthesis

Exponent (& roots)

Multiplication

Division

Addition

Subtraction

----------------

Also, note the rules of sign:

Multiplying...

Positive number and another positive number will result in a positive answer.

Positive number and a negative number will result in a negative answer.

Negative number and another negative number will result in a positive answer.

--------------------------------------------------------------------------------------------------------

Note the question:

5 x -6 + (-7)

First, change the sign for -6 + -7. Note the rule above and change the sign.

5 x -6 - 7

Next, solve. Remember to follow PEMDAS. Multiply 5 and -6 together

5 x -6 = -30

Then, combine the remaining terms.

-30 - 7 = -37

You're answer:

-37

--------------------------------------------------------------------------------------------------------

~

Answer:

BD= 56units

Step-by-step explanation:

  Since, Diagnols of a parallelogram  bisect each other.

Therefore in parallelogram ABCD where AC and BD are the diagnols wich intersect at Point E, we have, BE=DE

Therefore, x^2-21=4x

x^2-21-4x=0

x^2-4x-21=0

x^2-7x-3x-21=0      [middle term splitting]

x(x-7)+3(x-7)=0

(x+3)(x-7)=0

Hence, x= -3 and x= 7

Since x cannot be negative because no side can have negative values

Therefore, we have x=7

Now, BD= BE+DE      [Since E is the intersecting point of BD]

            = 4x+x^2-21

            = 4(7)+7^2-21

            =28+49-21= 56 units

Answer:

(3, -1)  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Answer:

A: 20 km/hr B: 10 km/hr

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60

    +3         +3

3x = 6x - 57

     - 6x

- 3x = -57

= 19

Answer:

Step-by-step explanation:

[tex](3x-3)^{0} =\left[6(x-10)] ^{0}\\[/tex] (opposite angle)

[tex]3x-3=6(x-10)\\ 3x-3=6x-60\\ 60-3=6x-3x\\ 57=3x\\ \frac{57}{3} =x\\ 19=x[/tex]

[tex]7-\dfrac{1}{5}x>0\qquad\text{subtract 7 from both sides}\\\\-\dfrac{1}{5}x>-7\qquad\text{change the signs}\\\\\dfrac{1}{5}x<7\qquad\text{multiply both sides by 5}\\\\\boxed{x<35}[/tex]

Answer:24%

Step-by-step explanation:

Step 1: We make the assumption that 50 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100\%=50.

Step 4: In the same vein, x\%=12.

Step 5: This gives us a pair of simple equations:

hope this helps

Answer:

B

Step-by-step explanation:

All sides have to be equal and add up to be 180 degrees therefore the answer would be 60 because 60 plus 60 plus 60 is 180.

Answer:

B

B is the only answer that adds to 180, the interior angle measures of a triangle.

The value of 'a' when (a, -8) is a solution to the equation -a = 4b - 7 is '39'.

If we have the point (a, -8) as a solution to the equation -a = 4b - 7, and we're given the value of b from the point, which is -8, we can substitute this value into the equation to find 'a'.

Substituting b = -8 into the equation gives us:

-a = 4(-8) - 7

-a = -32 - 7

-a = -39

Now, we can solve for 'a' by multiplying both sides by -1 to get:

a = 39

Therefore, the value of 'a' is 39.

Answer:

41.1

Step-by-step explanation:

The number will be cut off after the digit you are rounding off to.

Rewrite the number, but stop at the 0.

41.0

Now you need to decide if the 0 stays as 0 or if it goes up to 1.

When the next digit is from 5 to 9, the last digit you keep goes up 1. When the next digit is 0 through 4, the last digit you keep stays as it was.

Since the first digit that was dropped is a 7, the 0 goes up one unit to 1.

Answer: 41.1

Answer:

41.1

Step-by-step explanation:

If we are rounding at the 0, we have to look at the next digit, which is 7.  

Since 7>=5, we will round up.  Zero becomes a 1

41.073  becomes 41.1

Answer:

2x- 3y = - 6

Step-by-step explanation:

given [tex]\frac{1}{2}[/tex] y - [tex]\frac{1}{3}[/tex] x - 1 = 0

multiply all terms by 6 to eliminate the fractions

3y - 2x - 6 = 0 ( multiply all terms by - 1 )

- 3y + 2x + 6 = 0 ( subtract 6 from both sides )

2x - 3y = - 6 ← in standard form

Answer:

The solution is the point (6,-8)

Step-by-step explanation:

we have that

The first equation is [tex]y=(1/3)x-10[/tex] instead [tex]y=x-10[/tex]

[tex]y=(1/3)x-10[/tex] -----> equation A

[tex]2x+y=4[/tex] -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

[tex]2x+[(1/3)x-10]=4[/tex]

[tex](7/3)x=14[/tex]

[tex]x=6[/tex]

Find the value of y

[tex]y=(1/3)(6)-10=-8[/tex]

therefore

The solution is the point (6,-8)

Answer:

The answer would be c)85 FEET

Step-by-step explanation:You start with the deepest section(-135) and add the shallowest point(50). the result is an 85 foot difference.

Answer:  c 85ft

Step-by-step explanation:

Answer:

The value of x is 68 degrees!

Step-by-step explanation:

In this question, we have an isosceles triangle because of Base Angles Theorem. The 2 sides are congruent, which means its an isosceles and that the Base angles are congruent. So far, we know that 2 angles are equal to 112 degrees. Due to Sum Angles Theorem, we can go 180-112 to get 68 degrees!

Answer:

x=68

Step-by-step explanation:

Since this is an isosceles triangle, the bottom two angles are the same value, 56 degrees.  The three angles of a triangle add to 180 degrees.

56+56+ x = 180

Combine like terms

112 +x = 180

Subtract 112 from each side

112-122 +x = 180 -112

x =68

Answer:

there's 33 rabbits and 4 hutches

Step-by-step explanation:

8 x 4 = 32 plus the one left over

11 x 3 = 33 with and extra hutch

Answer:

33 rabbits and four hutches

Step-by-step explanation:

;)brainliest?

Answer:

400 originally, and 50 dollars a week from there!!

Step-by-step explanation:

Since the 50 is followed by the variable "w", and the w stands for week, we can believe that Jenny makes 50 dollars a week.

Because the 400 was in the her account to begin with, we know this is the amount she originally had!

To find the number of seconds in m minutes, you can multiply m by 60. The numerical expression is 60m and the variable expression is 'm * 60.'

To write a numerical or variable expression for the quantity 'the number of seconds in m minutes,' we need to know the conversion rate between minutes and seconds. There are 60 seconds in 1 minute. So, to find the number of seconds in m minutes, we can multiply m by 60.

The numerical expression would be 60m.

The variable expression would be 'm * 60.'

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Answer:

Price in Japan= 17.81

Price in Switzerland = 13.58

Step-by-step explanation:

First set up system of equations

80.59 = 3j +2s

76.36 = 2j + 3s

Make it to where you can eliminate one variable

161.18 = 6j +4 s

-229.08 = -6j - 9s

Reset the problem

-67.9 = -5s

s=13.58

Re plug them in to the original equation to get j = 17.81

By solving a system of linear equations formed from the given information, we found the average cost of a movie ticket in Japan to be $24.60, and in Switzerland to be $6.79.

Let's denote J as the cost of a movie ticket in Japan and S as the cost of a movie ticket in Switzerland. From the problem, we establish two equations: 3J + 2S = $80.59 and 2J + 3S = $76.36. This is a system of linear equations that can be solved by substitution or elimination. If you choose elimination, add these two equations together, which results in 5J + 5S = $156.95, or J + S = $31.39. Now, substitute (J + S) in first equation, we get 3J + 2(31.39 - J) = 80.59. Solving this equation we find J = $24.60. Thus, the price of a movie ticket in Switzerland is S = $31.39 - $24.60 = $6.79. Therefore, a movie ticket in Japan costs $24.60 on average, and in Switzerland, it costs $6.79.

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The complete question is here:

Average movie prices in the United States are, in general, lower than in other countries. It would cost $80.59 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $76.36. How much does an average movie ticket cost in each of these countries?

In Japan the average cost is __.

In Switzerland the average cost is _____.