7+(8+4) order of operations

The total bill is $14.64 ⇒ last answer

Step-by-step explanation:

The given is;

Sandwiches

Side Orders

Beverages

∵ You order 2 veggieburgers, one salad, one fries and 2 coffees

∵ The price of the 1 veggieburgers = $3.25

∵ The price of the 1 salad = $2.5

∵ The price of the 1 fries = $1.5

∵ The price of the 1 of one coffee = $0.9

∴ The cost of the order = 2(3.25) + 1(2.5) + 1(1.5) + 2(0.9)

∴ The cost of the order = 6.5 + 2.5 + 1.5 + 1.8 = $12.3

∵ There is a tax 4%

∴ The tax = 4% × 12.3 = [tex]\frac{4}{100}[/tex] × 12.3 = $0.492

∵ There is a tip 15%

∴ The tip = 15% × 12.3 = [tex]\frac{15}{100}[/tex] × 12.3 = $1.845

To find the total bill add the cost of the order, the tax and the tip

∵ The total bill = cost of the order + tax + bill

∴ The total bill = 12.3 + 0.492 + 1.845

∴ The total bill = $14.637 ≅ $14.64

The total bill is $14.64

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Explanation:

Simply pair each value given in the sequence with a0,a1,a2,etc like so

a0 = 4

a1 = 11

a2 = 18

a3 = 25

a4 = 32

a5 = 39

Answer:

Y = - 2

Step-by-step explanation:

Put your finger at x= 0 or (0,0) and go down until you hit the black line, thats your y

Answer:22/24 or 11/12

Step-by-step explanation:

Answer:

Six books are removed from the shelves, so $24-6=18$ books remain. Of these, $10-2=8$ are math books. Therefore, $8/18=\boxed{4/9}$ of the books remaining are math books.

Step-by-step explanation:

4/9

Answer:

7 grams

Step-by-step explanation:

If you're asking me grams specifically, and not kilograms, subtract 68 from 75 to get your answer. If it's only kilograms subtract 324 from 405. If it's both of them added together subtract 399 from 473, you're welcome!

Answer:

7 grams

Step-by-step explanation:

Answer:

(0,2.5), (-1.25,0) and (3,8.5)

Step-by-step explanation:

we have

[tex]-4x+2y-5=0[/tex]

This is a linear equation (equation of a line)

If a ordered pair is a solution of the linear equation, the the ordered pair must satisfy the linear equation

1) Find the y-intercept

The y-intercept is the value of the y when the value of x is equal to zero

For x=0

substitute the value of x in the linear equation and solve for y

[tex]-4(0)+2y-5=0[/tex]

[tex]2y=5[/tex]

[tex]y=2.5[/tex]

The ordered pair is (0,2.5)

2) Find the x-intercept

The x-intercept is the value of the x when the value of y is equal to zero

For y=0

substitute the value of y in the linear equation and solve for x

[tex]-4x+2(0)-5=0[/tex]

[tex]-4x=5[/tex]

[tex]x=-1.25[/tex]

The ordered pair is (-1.25,0)

3) Assume any value of x or y and solve for the other variable

For x=3

[tex]-4(3)+2y-5=0[/tex]

[tex]-12+2y-5=0[/tex]

[tex]2y=17[/tex]

[tex]y=8.5[/tex]

The ordered pair is (3,8.5)

Answer:

There can be 180 apples in that box.

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Number of apples in a box < 200

2. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples can be in that box?

The answer is that the number of apples that can be in the box is the highest multiple of 2, 3, 4, 5, and 6 that is close to 200.

The common multiples for this set of numbers are 60, 120, 180, 240, 300 and so on with 60 as the constant.

Therefore, the highest number that is multiple for this set of numbers and at the same time lower than 200 is 180.

There can be 180 apples in that box.

Answer:

120 or 180 apples

Step-by-step explanation:

It hasd to be divisible by 5 so it can only end in fives and zeroes next it has to be divisible by 2 so that narrows it tdown to only number that end in zero the it has to be divisible by 3 once yo find that you have two answers

120 or 180 and that is how many apples can be in the box

Answer:

[tex]15x^7y^5[/tex]

Step-by-step explanation:

Given

[tex]5x^3y^2\times 3x^4y^3[/tex]

Rewrite it as

[tex](5\cdot 3)\times (x^3\cdot x^4)\times (y^2\cdot y^3)[/tex]

Use power property:

[tex]a^m\cdot a^n=a^{m+n},[/tex]

so

[tex]x^3\cdot x^4=x^{3+4}=x^7\\ \\y^2\cdot y^3=y^{2+3}=y^5[/tex]

Then

[tex](5\cdot 3)\times (x^3\cdot x^4)\times (y^2\cdot y^3)=15\times x^7\times y^5=15x^7y^5[/tex]

There were 980 student desks originally before the purchase was made.

Step-by-step explanation:

Total desks purchased = 295

As 50 new desks are for teachers, therefore, we will subtract this amount from total;

Desks purchased for students = 295-50 = 245

Let,

x be the number of original student desks, therefore,

[tex]\frac{1}{4}\ of\ x=245\\\frac{x}{4}=245[/tex]

Multiplying both sides by 4

[tex]4*\frac{x}{4}=245*4\\x=980[/tex]

There were 980 student desks originally before the purchase was made.

Keywords: subtraction, fractions

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Answer: 0.8660254038

If you are given the slope and y-intercept of a line, you can conclude several things about the line and use them to write the equation of the line in slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

For the values you've given:

- The slope (m) is 35.
- The y-intercept (b) is 550.

From these pieces of information, you can conclude:

1. **Slope (Steepness and Direction):** Since the slope is 35, this tells us that the line is relatively steep and rises quickly. The slope is positive, which means the line slants upwards from left to right. Specifically, for every one unit that x increases, y increases by 35 units.

2. **Y-intercept (Starting Point):** The y-intercept is where the line crosses the y-axis. Since the y-intercept is 550, it indicates that the line will cross the y-axis at the point (0, 550). This is the starting point of the line if you begin plotting from the y-axis.

With these conclusions, you can write the equation of the line in slope-intercept form:

\[ y = 35x + 550 \]

This equation allows you to predict or calculate the value of y for any given value of x along the line. It also enables you to graph the line by plotting the y-intercept and using the slope to determine the direction and steepness of the line. Remember, a line extends infinitely in both directions on the graph, so the portion you draw depends on the context or constraints of the particular situation you are modeling with the line.

Answer:

a) c = 65.532 cm

P = 145.532 cm

b) A = 751.754 cm²

Step-by-step explanation:

This is an isosceles triangle.  The given angle is obtuse, so it must be the vertex angle.

a) One way to find the length of the third side is law of cosine:

c² = a² + b² − 2ab cos C

c² = 40² + 40² − 2(40)(40) cos 110°

c = 65.532

Another way is to cut the triangle in half and use sine.

sin (110°/2) = (c/2) / 40

c = 80 sin 55°

c = 65.532

The perimeter is the sum of the sides:

P = 40 + 40 + 65.532

P = 145.532

b) You can find the area using the SAS equation:

A = ½ ab sin C

A = ½ (40)(40) sin 110°

A = 800 sin 110°

A = 751.754

Another way is to split the triangle in half, find the height using cosine, then use half the base times height.

cos (110°/2) = h / 40

h = 40 cos 55°

h = 22.943

A = ½ ch

A = ½ (65.532) (22.943)

A = 751.754

Answer:

I think it would be either (-10, 5) or (35, -20)

Step-by-step explanation:

Answer:

It Is C

Step-by-step explanation:

Edg 2020

Answer:

[tex]\displaystyle y = 7[/tex]

Step-by-step explanation:

Since the rate of change [slope] is zero, that automatically makes our equation set equal to the y-coordinate of the ordered pair, which in this case is the y-intercept.

I am joyous to assist you anytime.

Answer:

From what I can tell from the image, b is equivalent to B.) 50°

Step-by-step explanation:

So to start off 2a=80° there is 2 a's. so  you subtract 80° from 180° to get 100°.

now b=c and their is 100° left over. So 100°/2 is 50° because if b=50° and c=50° both angles equal 100°.

Answer : The correct option is, (B) 50

Step-by-step explanation:

As we are given :

2a = 80

b = c

As we know that:

The sum of interior angles of a triangle is equal to [tex]180^o[/tex].

That means,

[tex]\angle A+\angle B+\angle C=180^o[/tex]

[tex]80^o+\angle B+\angle C=180^o[/tex]

and, [tex]\angle B=\angle C[/tex]

So,

[tex]80^o+2\angle B=180^o[/tex]

[tex]2\angle B=180^o-80^o[/tex]

[tex]2\angle B=100^o[/tex]

[tex]\angle B=\frac{100^o}{2}[/tex]

[tex]\angle B=50^o[/tex]

Thus, the value of 'b' is [tex]50[/tex]

The solutions are [tex]\(x = n\pi\) and \(x = \sin^{-1}(1/5)\).[/tex]

To find the solutions for [tex]\( \csc^2x - 5\csc x = 0 \)[/tex], we can factor the expression:

[tex]\[ \csc x (\csc x - 5) = 0 \][/tex]

This equation is satisfied when either [tex]\(\csc x = 0\) or \(\csc x - 5 = 0\)[/tex].

1. For [tex]\(\csc x = 0\)[/tex], we know that [tex]\(\csc x\)[/tex] is the reciprocal of the sine function, and sine is 0 at multiples of [tex]\(\pi\)[/tex]. Therefore, [tex]\(x = n\pi\)[/tex] where n is an integer.

2. For [tex]\(\csc x - 5 = 0\)[/tex], solving for [tex]\(\csc x\)[/tex] gives [tex]\(\csc x = 5\)[/tex], and the sine of an angle is the reciprocal of its cosecant. Therefore, [tex]\(x = \sin^{-1}(1/5)\).[/tex]

In summary, the solutions are [tex]\(x = n\pi\) and \(x = \sin^{-1}(1/5)\).[/tex]

The complete question is probably:

What are the solutions for \( \csc^2x - 5\csc x = 0 \)?

After solving for x1, we get

[tex]x_1 = 2M-x_2[/tex]

Step-by-step explanation:

Given formula is:

[tex]M = \frac{x_1+x_2}{2}[/tex]

In order to solve for x1, we have to isolate x1 on one side of the equation

So,

Multiplying the whole equation by 2:

[tex]2M = \frac{x_1+x_2}{2} * 2\\2M = x_1+x_2[/tex]

Subtracting x2 from both sides

[tex]2M-x_2 = x_1+x_2-x_2\\2M-x_2 = x_1[/tex]

so,

After solving for x1, we get

[tex]x_1 = 2M-x_2[/tex]

Keywords: Formulas, Solving for a variable

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Answer:

3

Step-by-step explanation:

To solve this you have to work backwards with what you are given.

16-7=9

Then we know that a number has to be multiplied by itself to equal nine the only number that follows that criteria is 3

3*3=9+7=16

Answer:

3

Step-by-step explanation:

Work backwards. 16 Subtract 7. Take square root. We take the square root because that is how to undo a number that was multiplied by itself.

16-7=9 √(9)=3

Check this by going through the same steps listed in the question:

A positive number is multiplied by itself. then 7 is added. the answer is 16

3×3=9

9+7=16

Answer:

0.6 ounces

Step-by-step explanation:

Answer:

20 cups of broth are needed to make 30 servings of the soup.

Step-by-step explanation:

This is a typical proportion math problem.

Just set up the proportion and solve for the unknown variable, let it be x, because it's simple to use.

12/8=30/x

simplify 12/8 to 3/2,

3/2=30/x

cross product,

2*30=3*x

60=3x

x=60/3

x=20

Number of cups of broth needed for making 30 servings is 20.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

We have,

Cups of broth needed for 12 servings of soup = 8 cups

Let cups of broth needed for 30 servings of soup = x cups

Using the concept of proportion,

12 / 8 = 30 / x

Doing the cross multiplication,

12x = 8 × 30

12x = 240

x = 240 / 12

x = 20

Hence 20 cups of broth are needed to make 30 servings of the soup.

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The y-intercept is 1/3

I'll assume the function is the following:

[tex]f(x)=-\frac{2}{9}x+\frac{1}{3}[/tex]

As you can see, this is the equation of a line written in Slope-intercept form. The general rule of writing lines in this form is:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, which is the point at which [tex]x=0[/tex]. By comparing our function with the written rule, we can say that the y-intercept is:

[tex]\boxed{b=\frac{1}{3}}[/tex]

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Answer:

[tex]b=\frac{1}{3}[/tex]

Step-by-step explanation:

The given function is

[tex]f(x)=-\frac{2}{9}x +\frac{1}{3}[/tex]

This given function is a linear function, because its variables have one as exponent, we can also say that its variables are linear.

This function, as a linear one, it's represented as a line.

Additionally, the form of this function is called slope-intercept form as

[tex]f(x)=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

So, in this case

[tex]m=-\frac{2}{9}[/tex] and [tex]b=\frac{1}{3}[/tex]

Therefore, the y-intercept of the given function is

[tex]b=\frac{1}{3}[/tex]

Answer:

look at above image for answer. thank you for the question

Using the given conditions, we formed two equations: x + y = -11 and x - y = -3. We then solved these simultaneous equations to find that the two numbers are -7 and -4.

We have been given two conditions to find the values of two numbers, represented by x and y. The first condition can be expressed as the equation x + y = -11. The second condition gives us the second equation x - y = -3.

adding the first and second equation:

(x + y) + (x - y) = -11 + (-3)
2x = -14
x = -7

We can then substitute the value of x back into one of the original equations to solve for y:

-7 + y = -11
y = -11 + 7
y = -4

Thus, the two numbers are -7 and -4.

Answer:

m ∠ AMC = 75°

Step-by-step explanation:

Given:

In Δ ABC, m ∠C=90°

m∠ B =30°

CM is angle bisector

We need to find m ∠AMC

In Δ ABC Sum of all angle is 180° so we get,

[tex]m\angle A+m\angle B+m\angle C =180\\m\angle A+90+30 =180\\m\angle A+120 =180\\m\angle A=180-120\\m\angle A=60[/tex]

Now we know that CM is angle bisector of ∠C

∴ [tex]m\angle ACM +m\angle BCM =90\\m\angle ACM +m\angle ACM =90\\2m\angle ACM =90\\m\angle ACM =\frac{90}{2}=45[/tex]

Now in Δ ACM we know that Sum of all angles is 180

[tex]m\angle ACM + m\angle AMC + m\angle A=180\\45 + m\angle AMC + 60 =180\\105 + m\angle AMC =180\\m\angle AMC =180 -105 =75[/tex]

Hence m ∠ AMC = 75°

Answer:

[tex](-15)^{-1}[/tex] must be divided by 1 in order to have the quotient as [tex](-15)^{-1}[/tex]

Step-by-step explanation:

Given:

Dividend = [tex](-15)^{-1}[/tex]

Quotient =  [tex](-15)^{-1}[/tex]

We notice that the dividend and the quotient are equal. This means the divisor is 1.

By identity property of 1, any number divided by 1 is equal to the same number or the quotient of a number divided by 1 is equal to the number itself.

So, we can write this as:

[tex]\frac{(-15)^{-1}}{1}=(-15)^{-1}[/tex]

Thus [tex](-15)^{-1}[/tex] must be divided by 1 in order to have the quotient as [tex](-15)^{-1}[/tex] (Answer)

Answer:

814 - 64 = 750

750 ÷ 2 = 375

375 + 64 = 439

The problem can be solved by setting up two equations based on the given information, substituting one equation into the other, and then solving for the variable. In this case, 375 adult tickets were sold.

The subject of this problem is mathematics, particularly a class of problems known as linear equations. Let's assign variables to each type of ticket: A for the number of adult tickets and S for the number of student tickets.

According to the problem, S = A + 64 (because there were 64 more student tickets sold) and S + A = 814 (because a total of 814 tickets were sold).

With these two equations, you can substitute the value of S from the first equation into the second equation. Therefore, (A + 64) + A = 814. Simplify this to get 2A + 64 = 814.

To find the number of adult tickets, solve the simplified equation for A. Subtract 64 from both sides to get 2A = 750, and then divide by 2 to find that A = 375.

So, 375 adult tickets were sold.

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Answer:

Step-by-step explanation:

50% of 60? 0.5*60=30

10% of 60? 0.1*60=6

75% of 60? 0.75*60=45

50percent of 60 minutes is 30 minutes, 10percent of 60 minutes is 6 minutes, and 75percent of 60 minutes is 45 minutes.

50percent of 60 minutes: 50percent of 60 minutes is half of 60, which equals 30 minutes.

10percent of 60 minutes: 10percent of 60 minutes is 6 minutes (10percent of 60 is 6).

75percent of 60 minutes: 75percent of 60 minutes is 45 minutes (75percent of 60 is 0.75 * 60 = 45).

Answer:

40 and 50

Step-by-step explanation:

We know that River's mom drove for 45 minutes. Furthermore, at x miles per hour for a time amount y, she drove 10 miles, and at x+10 miles per hour for time amount z, she drove 25 miles. We can set up the equations like this:

x*y = 10

(x+10)*z = 25

y+z = 0.75

I knew to include time as the variable because time was given at the end, and is the only way possible to solve this. Furthermore, we can multiply x and y because we drive for x miles per hour for y hours, so

[tex]\frac{x miles}{hours}  * \frac{yhours}{1}  = xmiles*y[/tex]

I turned 45 into 0.75 as 45 is 3/4 of an hour, and y and z are in hours.

We're kind of stuck here, so it would be nice if we could limit the variables in an equation. One way to do this would be to solve for y in the first equation, so x=10/y. Then, we can plug that into the second equation to get

(10/y+10)*z=25

Combining that with the third equation, we can solve for z in the second equation to get that 25/(10/y+10)=z, and then plug that into the third to get that

y+25/(10/y+10) = 0.75

Multiplying both sides by 10/y+10 to get rid of the denominator, we get

10+10y+25=7.5/y+7.5

Then we multiply by y to get rid of the denominator

10y+10y²+25y=7.5+7.5y

Subtracting 7.5+7.5y to get everything on one side for a quadratic equation

10y²+27.5y-7.5=0

Plugging this into the quadratic equation, we get than y either equals -3 or 0.25. It's clear that you can't have negative time, so y = 0.25

Then, 0.75-0.25=0.5=z, and 10/0.25=40, so x=40, and x+10=50 for the 2 driving speeds

Answer:

y=-2

Step-by-step explanation:

y-y1=m(x-x1)

m=slope & (x1, y1) is a point on the line

m=(y2-y1)/(x2-x1)

m=(-2-(-2))/(-3-5)

m=(-2+2)/(-8)

m=0

y-(-2)=0(x-5)

y+2=0

y=0-2

y=-2

Answer:

1 inch = 41 miles

Step-by-step explanation:

205 / 5 = 41

1 inch = 41 miles

Answer:

41 miles per inch

could be answered as 41/1 or 41:1

Step-by-step explanation:

Use a ratio to find the scale.

205/5

Divide the numerator and denominator by 5 to simplify.

41/1