A restaurant manager states the number of customers that enter the restaurant is equal to 3 times the number of people that buy a hotdog from the hotdog cart plus 15. The manager also states that the number of customers that enter their restaurant is equal to 2 times the number of people that buy a hotdog from the hotdog cart plus 60. What number of people buying a hotdog from the hotdog cart across the street makes the equation 3x+15 = 2x+60 true?

Answer:

Step-by-step explanation:

Constance C. asked • 03/06/17. An item on sale costs 60 % of the original price. If the original price was $ 85 , what is the sale price? An item on sale costs 60 %

Answer:

x = 63°

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

x + 94° + 23° = 180°

Step 2: Solve for x

Answer: it’s 63

Step-by-step explanation:

All triangles equal 180. So you need to add the angles they give you; so 23+94=117 so then you subtract 117 from 180 which equal 63

Answer:

I want to say that the hours worked was 4. I hope that is right.

Step-by-step explanation:

30% off of $60 is 42

16*2=32 and 32+42=74

124-60=64

16*4=64

so he would have worked 4 hours for $64 and a fee of $60

64+60= 124

Answer:

Natalie will have [tex]1\frac{43}{56}[/tex] jars of coins all together after receiving John's coins.

Step-by-step explanation:

Given that:

Coins Natalie have = [tex]1\frac{1}{8}[/tex] jars of coins

Coins John have = [tex]\frac{9}{14}[/tex] jars of coins

When John will give all his coins to Natalie.

Total coins Natalie have = Her coins + John's coins

Total coins Natalie have = [tex]1\frac{1}{8}+\frac{9}{14}[/tex]

Total coins = [tex]\frac{9}{8}+\frac{9}{14}[/tex]

Total coins =[tex]\frac{63+36}{56}=\frac{99}{56}[/tex]

Total coins = [tex]1\frac{43}{56}[/tex]

Hence,

Natalie will have [tex]1\frac{43}{56}[/tex] jars of coins all together after receiving John's coins.

Answer:

Y=2

Step-by-step explanation:

YW thanks!

Answer:

A 454545 is the correct answer

Answer:

its 241

Step-by-step explanation:

i did it on khan

Answer:

parallel lines never  intersect

perpendicular  lines intersect at a right angle

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x-17+3x+8+x+13=180

8x+4 =180

8x=176

X=22

Answer:

x = 22

Step-by-step explanation:

<A + <B + <C = 180

<A = 4x - 17

<B = 3x + 8

<C = x + 13

4x - 17 +  3x + 8 +  x + 13 = 180           Collect the like terms

8x + 4 = 180                                        Subtract 4 from both sides

8x = 180 - 4

8x = 176                                               Divide by 8

x = 176/8

x = 22

Answer:

Step-by-step explanation:So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.Mar 9, 2011

Answer:

15

Step-by-step explanation:

no

Answer: 108.1 g

Step-by-step explanation:

432.4/4 = 108.1

Answer:

. umm whats the question

Step-by-step explanation:

Answer:

70/9

Step-by-step explanation:

We have the quadratic:

[tex]3x^2+4x-9[/tex]

So, let’s find the roots of the quadratic. We will set the expression equal to 0:

[tex]3x^2+4x-9=0[/tex]

Testing for factors, we can see that our quadratic isn’t factorable.

So, we can use the Quadratic Formula. The quadratic formula is given by:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]a=3, b=4,\text{ and } c=-9[/tex]

Therefore, by substitution:

[tex]\displaystyle x=\frac{-(4)\pm\sqrt{(4)^2-4(3)(-9)}}{2(3)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{-4\pm\sqrt{124}}{6}[/tex]

Simplify the square root:

[tex]\sqrt{124}=\sqrt{4\cdot31}=2\sqrt{31}[/tex]

Hence:

[tex]\displaystyle x=\frac{-4\pm2\sqrt{31}}{6}[/tex]

Reduce:

[tex]\displaystyle x=\frac{-2\pm\sqrt{31}}{3}[/tex]

So, our roots are:

[tex]\displaystyle x_1=\frac{-2+\sqrt{31}}{3}, x_2=\frac{-2-\sqrt{31}}{3}[/tex]

We want to find the sum of the squares of our two roots. So, let’s square each term:

[tex]\displaystyle (x_1)^2=\Big(\frac{-2+\sqrt{31}}{3}\Big)^2[/tex]

Square. For the numerator, we can use the perfect square trinomial patten where:

[tex](a+b)^2=(a^2+2ab+b^2)[/tex]

Therefore:

[tex]\displaystyle (x_1)^2=\Big(\frac{(-2)^2+2(-2)(\sqrt{31})+(\sqrt{31})^2}{9}\Big)[/tex]

Simplify:

[tex]\displaystyle (x_1)^2=\frac{35-4\sqrt{31}}{9}[/tex]

Similarly, for the second root, we will have:

[tex]\displaystyle (x_2)^2=\Big(\frac{-2-\sqrt{31}}{3}\Big)^2[/tex]

So:

[tex]\displaystyle (x_2)^2=\Big(\frac{(-2)^2+2(-2)(-\sqrt{31})+(-\sqrt{31})^2}{9}\Big)[/tex]

Simplify:

[tex]\displaystyle (x_2)^2=\frac{35+4\sqrt{31}}{9}[/tex]

Therefore, our sum will be:

[tex]\displaystyle (x_1)^2+(x_2)^2\\\\ \begin{aligned} &=\frac{35-4\sqrt{31}}{9}+\frac{35+4\sqrt{31}}{9}\\&=\frac{35-4\sqrt{31}+35+4\sqrt{31}}{9}\\&=\frac{70}{9}\end{aligned}[/tex]

Therefore, our final answer is 70/9.

Answer: d. 92

Step-by-step explanation: 150 time for equals 600. so all you gotta do is multiply 23 times 4

Answer:

plot the points

(-4, 2.5) (-3, 3) (-2, 1.5) (-1, 2) (0, 1)

(1, 2) (2, 3.5) (3, 0.5) (4, 2.5)

Step-by-step explanation:

does that help any???

Answer:

$80.60

Step-by-step explanation:

I hope this helps!

Answer:

The answer is A

Step-by-step explanation:

Answer:

x>-5

Step-by-step explanation:

First, we need to isolate the variable. To start doing this we can add five to both sides. We now have -3x<15. We then have to divde by -3. When working with inequalites you flip the inequality sign when dividing by a negative number. That then leaves us without answer, x>-5.

Answer:

x = 30

Step-by-step explanation:

We have to find x

Given that:

20% of x = 12 % of (x +20)

This can be written as:

0.2(x) = 0.12 (x + 20)

0.2x = 0.12x + 2.4

Subtracting 0.12x from both sides we get:

0.2x - 0.12x = 0.12x - 0.12x + 2.4

0.08x = 2.4

Dividing both sides by x we get:

0.08/0.08x = 2.4/0.08

x = 30

Answer:

x = 30

Step-by-step explanation:

Set up an equation:

0.2x = 0.12(x + 20)

Distribute 0.12 and solve for x:

0.2x = 0.12x + 2.4

0.08x = 2.4

x = 30

So, the answer is x = 30

Answer:

The mean of the given set of numbers is 3.5

Step-by-step explanation:

We need to find the mean of following numbers:

8.9, 6.1, -4.8, 8.2, 2.7,-0.1

For calculating the mean the formula used is: [tex]Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}[/tex]

Finding sum of numbers:

[tex]Sum \ of \ numbers= 8.9+6.1-4.8+8.2+2.7-0.1\\Sum \ of \ numbers= 21[/tex]

Total numbers = 6

So, mean is:

[tex]Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}\\Mean=\frac{21}{6}\\Mean= 3.5[/tex]

So, mean of the given set of numbers is 3.5

Answer:

365,000

Step-by-step explanation:

Three hundred sixty five ten thousands means 3 hundred and 65 thousands

The number will be written in figures as 365,000

The hundred defines the 300 and the sixty-five ten thousands define 65,000

ten thousands is added in the number to define the nature of sixty-five.

Answer:13,7,8 but if there’s an answer choice go with 7,8

Step-by-step explanation: Assuming b is an integer, we first look at factors of 4, being 1 and 4 or 2 and 2. The factors of 3 are 1 and 3 only. So the factorisation possibilities are (x+3)(4x+1), (4x+3)(x+1) and (2x+1)(2x+3).

Expanding these we get: 4x²+13x+3, 4x²+7x+3 and 4x²+8x+3, giving values of b=13, 7 and 8

The possible values of b in the given polynomial are 7, 8 or 13.

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer powers of variables.

Given is a polynomial, 4x²+bx+3, we need to find all possible values of b such that 4x²+bx+3 can be factored.

4x²+bx+3

4×3=2×2×3

2×2×3 = 2×6 and 2+6 = 8

2×2×3 = 4×3 and 4+3 = 7

2×2×3 = 12×1 and 12+1 = 13

b=7, b=8, and b=13

4x²+7x+3 = (4x+3) (x+1)

4x²+8x+3 = (2x+1) (2x+3)

4x²+13x+3 = (4x+1) (x+3)

Hence, the possible values of b in the given polynomial are 7, 8 or 13.

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Answer:

Ramon, 16 hours

Step-by-step explanation:

Answer:

Add -3 and 7. 4

Step-by-step explanation:

Uh ur welcome

Answer:

4

Step-by-step explanation:

I do it this way whenever there is a  - and a - I just add them but add negative sign. IF like in this problem - and a + I subtract...

Hope this helps :3

Answer:

it looks decent just give it make it more detailed otherwise it looks good

Answer:

your drawing is good but I can't understand your ques

Answer:

the answer is d

Step-by-step explanation:

For 55 you times the average by the time it took and you get 55 same with kick 2 so kick 3 would be 2 seconds because 15 times 2 is 30

Answer: your answer is 3

Step-by-step explanation: if you multiply 3 and 8 you get 24 divide that by 8.

The number of pizzas each kid will receive if there were 12 children was 2 slices each

The number of pizzas each kid will receive if there were 8 children was 3 slices each

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total number of pizzas at the party = 3 pizzas

The total number of slices in 1 pizza = 8 slices

So , the number of slices in 3 pizzas = 3 x 8 slices

The number of slices in 3 pizzas = 24 slices

Now , the equation will be

The number of children attended the party be = A

The value of A = 12 children

So , the number of pizza slices each child gets = number of slices in 3 pizzas / number of children attended the party

Substituting the values in the equation , we get

Number of pizza slices each child gets = 24 / 12

Number of pizza slices each child gets = 2 slices each

Therefore , if there are 12 children , the number of slices of pizzas each child receives is 2 slices

Now , if the number of children is B = 8

Number of pizza slices each child gets = 24 / 8

Number of pizza slices each child gets = 3 slices each

Therefore , if there are 8 children , the number of slices of pizzas each child receives is 3 slices

Hence , The number of pizzas each kid will receive if there were 12 children was 2 slices each

The number of pizzas each kid will receive if there were 8 children was 3 slices each

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