Mr. Drumm is purchasing tickets for a school museum visit. The Museum of Natural History charges a $25 group fee plus $5 per student. The Museum of Modern Art charges a group fee of $35 plus $4 per student. To pay the same amount at each museum, how many tickets will Mr. Drumm have to order?​

Answer:−(5−3m)=7m+10

m+−1(5−3m)=7m+10(Distribute the Negative Sign)

m+(−1)(5)+−1(−3m)=7m+10

m+−5+3m=7m+10

(m+3m)+(−5)=7m+10(Combine Like Terms)

4m+−5=7m+10

4m−5=7m+10

Step 2: Subtract 7m from both sides.

4m−5−7m=7m+10−7m

−3m−5=10

Step 3: Add 5 to both sides.

−3m−5+5=10+5

−3m=15

Step 4: Divide both sides by -3.

−3m

−3

=

15

−3

m=−5

Step-by-step explanation:

brainliest pleaseee

Answer:

Your ending balance is higher than your previous balance

Step-by-step explanation:

An account statement is prepared periodically or on request by banks for the consumption of their customers.

This is a record of income and withdrawals on that account.

If at the end of a given period of time, the ending balance of the period is greater than the previous balance, then the account holder has deposited more money than he/she spent. Hence the answer.

Answer:

C. 3

Step-by-step explanation:

After deconstructing the question at the end of the quiz, you can see the correct answers

Answer:

the third figure

Step-by-step explanation:

edge 2020

Answer:

[tex]\huge\boxed{500}[/tex]

Step-by-step explanation:

In order to solve this, we have to note that consecutive numbers are numbers that are one more than the last.

If our first number is represented as [tex]n[/tex], then we know that the next number will be [tex]n+1[/tex], the next will be [tex]n+2[/tex], and so on.

Since we want 4 numbers, we can create the equation:[tex]n + (n+1) + (n+2) + (n+3) = 1998[/tex]

Now we want to solve for [tex]n[/tex]. It's important to note that [tex]n[/tex] is our first number.

Combine like terms:

[tex]4n+6=1998[/tex]

Subtract 6 from both sides:

[tex]4n=1992[/tex]

Divide both sides by 4:

[tex]n = 498[/tex]

We want the third number in the set of these four numbers. Looking back to our equation ([tex]n + (n+1) + (n+2) + (n+3) = 1998[/tex]) we can see that the third term here is [tex]n+2[/tex]

[tex]498+2=500[/tex]

Hope this helped!

Answer:

( u ÷ 3) times 7

Step-by-step explanation:

Must know what u equals to find actual answer to equation.

Answer:

98

Step-by-step explanation:

As it is a little bit of a few questions about the other one I have to the store go back tomorrow and will get back tomorrow and I have been working

Answer:

$1.2

Step-by-step explanation:

12 / 10 pounds = 1.2

Answer:

$1.20

 12/10= 1.2

Step-by-step explanation:

The value of the x in the line segment will be 10.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that In segment JK, JH = 4x - 15 and HK = 2x +3, where H is between J and K on segment JK. The value of JK is 48.

For the line segment we can form the expression below:-

JK = JH + HK

JK = 4x - 15 + 2x + 3

JK = 6x - 12

48 = 6x - 12

6x = 48 + 12

6x = 60

x = 60 / 6

x = 10

Therefore, the value of the x in the line segment will be 10.

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Answer:So its simple just forget about the letters add the numbers then place the letter and x

Step-by-step explanation: ( Always Parentheses first) Then i think you divide it by the outside number

Answer:

in order of the picture:

18w+8                           -48x-24

16d+20                          -48p-18

6v-16                              25m-10

-24z+16                          -9n+36

10d-2                             -36k-36

-14j-10                             -9b+6

24j-9                               3v+5

-72v-16                             18h-72

-20f+32                           -7x+8

4p-6                                 45t+72

Step-by-step explanation:

Hope this helps.

Answer:

m∠2 = 103°

Step-by-step explanation:

Since ∠1 and ∠2 are supplementary angles, together they equal 180. So, you would just subtract 180-77 and get 103. To check if you are correct just add ∠1 and ∠2 ( 77+103) and you'll get 180 :)

The slopes of each pair when analyzed shows us that; first is parallel; second and third are perpendicular and fourth is neither.

The general form of an equation in slope intercept form is;

y = mx + c

where m is the slope

1) The first pair shows that;

y = 6x/5 - 8/5

y = 6x/5 - 5

The slope in both cases is the same and so they are parallel.

2) The second pair of equations shows that;

y = (1/2)x + (1/2)

y = -2x - 5

Both slopes are negative reciprocals of each other and so they are perpendicular.

1st and 3rd box is for perpendicular

3) The third pair of equations shows that;

y = (5/7)x + (8/7)

y = -(7/5)x + 10

Both slopes are negative reciprocals of each other and so they are perpendicular.

1st and 3rd box is for perpendicular.

4) The third pair of equations shows that;

y = 2x + 5

y = 3x + 4

Both slopes are neither parallel nor perpendicular to each other.

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Answer:

broken (or dotted)

Step-by-step explanation:

y will only be less than 2 + 4x + 5

never equal to it

Answer:

addition first

Step-by-step explanation:

PMDAS   1

P:Parenthesis     2

M:Multiply    3

D:Divide    4

A:Add    5

S:Subtract   6

Adding is before subraction

Answer:

You do whichever one is first

Step-by-step explanation:

Parenthesis

Exponents

Multiplication/Division

Addition/Subtract

Hope it helps

Answer:

$462.5 in his account in the end

Answer:

Antonio ends up with $462.50 after the checks and deposits cleared.

Step-by-step explanation:

First make an equation for what we know: Antonio started with $450, he made 5 different checks of $24.50 each, and he deposited $45 3 times.

450 - 5(24.5) + 45 (3)

450 - 122.5 + 135

327.5 + 135

$462.50

Antonio ends up with $462.50 after the checks and deposits cleared.

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

Answer:

- 7y +1 > 22 answer is y<−3

-10y +41 > 81 answer is y<−4

Answer:

irratrrational Numbers

whole

real

Step-by-step explanation:

Answer:

AB is parallel to AC

Step-by-step explanation:

the product of the gradients of perpendicular line should be -1

AB=2/3

AC=-3/2

2/3*-3/2=-1

=-1

The correct statement is,

⇒ AB is perpendicular to AC.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Points are,

A(0, 0), B(3, 2), and C(−2, 3),

Now, We can find slopes as;

AB = (2 - 0) / (3 - 0)

AB = 2/3

AC = (3 - 0)) / (- 2 - 0)

AC = - 3/2

Hence, AB is perpendicular to AC.

Thus, The correct statement is,

⇒ AB is perpendicular to AC.

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Answer:

375.6

Step-by-step explanation:

Answer:

The length of the four pieces of protective strip is 96 feet

Step-by-step explanation:

Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)

= 2(w + w + 16)

= 2(2w + 16)

Since the perimeter of the house P = 136 feet,

136 = 2(2w + 16)

dividing through by 2, we have

136/2 = (2w + 16)

68 = (2w + 16)

collecting like terms, we have

68 - 16 = 2w

52 = 2w

dividing through by 2, we have

w = 52/2

w = 26 feet.

Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.

So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)

= 2(w + 22)

= 2(26 + 22)

= 2(48)

= 96 feet

So, the length of the four pieces of protective strip is 96 feet.

Answer:

a = 10   b = 6

Step-by-step explanation:

7^2 * 7^8

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

7^4

We know that a^b* a^c = a^( b+c)

7^(2+8)

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

7^4

7^(10)

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

7^4

We know that a^b / a^c = a^(b-c)

7^(10-4) = 7^6

Answer:

3 ; $11.97

Step-by-step explanation:

Given that:

Balloon options : 15 and 12

Every bouquet has same number of each color :

Greatest possible number of bouquet possible using all the balloons :

Greatest common factor of both 15 and 12:

15 : 1, 3, 5, 15

12 : 1, 2, 3, 4, 6, 12

Hence the greatest common factor of both 15 and 12 is 3

Hence,

Greatest possible number of bouquet possible using all the balloons = 3

If each bouquet is sold for $3.99 :

Earning will be :

Number of bouquet * price per bouquet

3 × $3.99

= $11.97

Answer: 13 weeks

Step-by-step explanation:

152.75÷11.75=13

13×11.75= 152.75

Answer:

gradient = 9

Step-by-step explanation:

Answer:

[tex]\boxed {\tt m=9}[/tex]

Step-by-step explanation:

The slope formula is:

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

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given are: (-7,-2) and (-6,7). Therefore,

[tex]x_1= -7 \\y_1= -2 \\x_2=-6 \\y_2= 7[/tex]

Substitute the values into the formula.

[tex]m=\frac{7--2}{-6--7}[/tex]

[tex]m=\frac{7+2}{-6+7}[/tex]

Solve the numerator by adding 7 and 2.

[tex]m=\frac{9}{-6+7}[/tex]

Solve the numerator by adding 7 to -6.

[tex]m=\frac{9}{1}[/tex]

Divide 9 by 1.

[tex]m=9[/tex]

The slope of the line is 9.

Answer:

Add the area of each object.

Step-by-step explanation:

a=4 (add up the two squares in the middle. Then, add up the triangles.)

b=4 (add up the two squares in the middle. Then, add up the triangles.)

In conclution, they are both congruent but just rotated differently.

Answer:

B.  f(x) = -x^3 - x^2 + 7x - 4

Step-by-step explanation:

For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.

For each of these equations, we will simply take the terms with the highest power and consider those.  The two cases we need to consider is + infinite for x and - infinite for x.  Let's check each of these equations.

Note, any value raised to an even power will be positive.  Any negative value raised to an odd power will be negative.

[A] - x^4

When x is +∞ --> - (∞)^4 -->  f(x) is -∞

When x is -∞ --> - (-∞)^4 --> f(x) is -∞

[B] - x^3

When x is +∞ --> - (∞)^3 --> f(x) is -∞

When x is -∞ --> - (-∞)^3 --> f(x) is ∞

[C] 2x^5

When x is +∞ --> 2(∞)^5 --> f(x) is ∞

When x is -∞ --> 2(-∞)^5 --> f(x) is -∞

[D] x^4

When x is +∞ --> (∞)^4 --> f(x) is ∞

When x is -∞ --> (-∞)^4 --> f(x) is ∞

Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).

Cheers.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]

From the question the points are

A(28, 4) and B(4, 21)

The distance between them is

[tex] |AB| = \sqrt{ ({28 - 4})^{2} + ({4 - 21})^{2} } \\ = \sqrt{ {24}^{2} + ( { - 17})^{2} } \\ = \sqrt{576 + 289} \: \: \: \: \: \: \: \\ = \sqrt{865} \\ = 29.410882339...[/tex]

We have the final answer as

[tex] \sqrt{865} \: \: \: or \: \: 29.41 \: \: \: \: units[/tex]

Hope this helps you

Answer:

The answer is

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by [tex] \frac{\pi}{180} [/tex] .

From the question the value is 40°

It's equivalent in radians is

[tex]40 \times \frac{\pi}{180} = \frac{40\pi}{18 0} = \frac{2\pi}{9} \\ [/tex]

We have the final answer as

[tex] \frac{2\pi}{9} \\ [/tex]

Hope this helps you