You have $6 to spend on lunch. The drinks cost $1.25 each and the salad
costs $0.20 per ounce. Write an equation in standard form that models
this situation.
1. 1.25 +.20x = 6
2. 1.25x + 20y = 6
3. 1.45x = 6
4. 1.25x + 6y = 20

Answer:

b

Step-by-step explanation:

Answer:

322

Step-by-step explanation:

1

+

1

+

300

=322

The bat weighs 10kg.

Two equations can be gotten from the question:

5a + 4b = 58 equation 1

4a + 5b = 50 equation 2

Where:

a = weight of bats

b = weight of balls

The two equations are simultaneous equations and would be solved using the elimination method.

In order to determine the weight of balls, take the following steps:

Multiply equation 1 by 4 and equation 2 by 5

20a + 16b = 232 equation 3

20a + 25b = 250 equation 4

Subtract equation 3 from 4

18 = 9b

Divide both sides of the equation by 9

b = 2kg

In order to determine the weight of bats, take the following steps:

Replace for b in equation 1

5a + 4(2) = 58

5a + 8 = 58

5a = 58 - 8

5a = 50

Divide both sides of the equation by 5

a = 10kg

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Answer:

x = 7

Step-by-step explanation:

y = 14

14 x 2 = 28

Therefore:

3.5 x 2 = 7

Value of y is 112 when value of x is 28

Given that;

Value of y is 14 when x = 3.5

Find:

Value of y when value of x = 28

Computation:

We know that, y is directly proportional to x

So,

[tex]Value\ of\ y = 14[\frac{28}{3.5} ] \\\\Value\ of\ y = 14[8]\\\\Value\ of\ y = 112[/tex]

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Answer:

Yes it is a polynomial.

Step-by-step explanation:

3x² - 4ab + 2 is quadratic polynomial, since it has the highest power / degree of 2.

Note : -

Types of polynomials :

Answer:

[tex]4394[/tex]

Step-by-step explanation:

the bird is

Answer:

No asymptote

Step-by-step explanation:

This equation is linear, so it will not have an astmptote.

Answer:

y=-5

Step-by-step explanation:

4(y+8) + 2y=2

4y+32+2y=2

6y+32=2

6y=-30

y=-5

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Given

2x + 3y = - 12 ( subtract 2x from both sides )

3y = - 2x - 12 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Answer:

Rate of change = 2

Step-by-step explanation:

The rate of change is equivalent to the slope of the line !

A line is written:

y=mx+b

"m" is the slope, and "b" is the y-intercept !

The line you gave was "y=2x+100"

The slope, or "m," in your equation, would be 2 !

Answer:

hope it helps......................

Answer:

Hello, There! I'll be Glad to help

Amtrak: 80 miles in 5 hours

Metra: 30 miles in 2 hours

Which train is faster? How do you know?

[tex]\textbf{Amtrak is correct}[/tex]

Step-by-step explanation:

So First we have to figure out Has fast the trains  go in 1 hour so we are going to divide...

30 ÷ 2 =  15 Miles  (Metra can go 15 Miles in one hour)

80 ÷ by 5 = 16  (Amtrak Can go 16 Miles in one hour)

_______________________________________

So If Metra Were to keep going  Here are the list of Miles Below

(45 Miles in 3 hours)

(60 Miles  in 4 hours)

(75 miles in 5 hours)

________________________________________

Amtrak

(96 Miles in 6 hours)

(112 miles in 7 hours )

(128 miles in 8 hours)

Therefore,  Amtrak  is the Fastest Train

Answer:

m = 5 / 2

Step-by-step explanation:

Given

(4, 10)

Here,

x=4 and y=10

Given equation,

y=mx _ equation 1

putting the value of x and y in equation 1. we get,

y = mx

or, 10 = m4

or, 10 / 4 = m

or, 5 / 2 = m

therefore, m = 5 / 2

Answer:

I could help you more if you showed more pictures

Step-by-step explanation:

Jeff makes 19 per hour and Carl makes 15 per hour.

Jeff makes more per hour, $4 more than Carl to be exact.

Jeff's constant of proportionality:   y=19/1

Carl's constant of proportionality:  y=150/10 ---> y=15

Carl's graph: For every hour he makes $15

(Hours)

10                                                                    .

9                                                             .

8                                                    .

7                                            .

6                                     .

5                              .

4                      .

3                .

2          .

1    .

    15  30  45  60   75   90  105   120  135  150 ($)

Answer:

Step-by-step explanation:

We can add like terms. Like terms are when the variables are alike, so you can add them to get a simpler form of your expression.equation.

4d and 2d are like terms, therefore, we can add them.

6d+6 is what we are left with.

Our final answer: 6d+6 is equivalent to 4d+6+2d

Answer:

Step-by-step explanation:

Answer is 3 m/s.

The ostrich ran at a constant velocity, so it's velocity was :

[tex]velocity = \frac{distance}{time} [/tex]

It is said that the bird ran for 160 seconds and it made it half-way to its nest, so the distance was :

[tex]distance = \frac{960 \: metres}{time} [/tex]

[tex]distance = 480 \: metres[/tex]

And the velocity is :-

[tex]velocity = \frac{480 \: metres}{160 \: seconds} [/tex]

[tex]velocity = 3 \: m/s[/tex]

Therefore, the ostrich ran at a velocity of 3 m/s .

Answer:

[tex]slop = \frac{y2 - y1}{x2 - x1} = \frac{ - 4 - 1}{ - 4 - 0} = \frac{ - 5}{ - 4} = 1.25[/tex]

Answer:

1/2187 is the 10th answer in the sequence

Step-by-step explanation:

just keep dividing the number by 3

1/9, 1/27, 1/81, 1/243, 1/729, 1/2187

Answer:

X=60°

Step-by-step explanation:

A1=100° vertically opposite angles

100°=2x-20°

120°=2x

X=60°

x = most popular

y = second most popular

x+y=49652

x=y+6786

Substitute into the first equation

(y+6786)+y=49652

2y=49652-6786

2y=42866

y=21433

x=21433+6786=28219(answer)

Answer:

Step-by-step explanation: 8/5-1/6

Find a common denominator

48/30-5-30=43/30

Answer:

80

2 40

2 2 20

2 2 2 2 10

2 2 2 2 2 5,

2^5*5

Brainliest please

Answer:

Q1. angle x + angle y = 180°

Q2. angle x = angle y

Answer:

c

Step-by-step explanation:

other statements are false

Answer:

Neither, they are both equal.

Step-by-step explanation:

FYI, that three in front of the radical in the first expression is actually cube root. The cube root of 64 is 4, and the square root of 16 is 4.

[tex]\sqrt[3]{64} =4\\\sqrt{16}=4\\4=4[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Option A }\huge\boxed {\downarrow}[/tex]

[tex]\huge\boxed{\rm{\sqrt[3]{64}}}}\\\huge\boxed{= \rm{\sqrt[3]{4^3}}}}\\\huge\boxed{= \rm{\sqrt[3]{4\times4 \times4}}}\\\huge\boxed{\rm{\rightarrow \sqrt{64}= 8, \ because \ 8\times8 = \bf 64}}\\\huge\boxed{\rm{{= \dfrac{8}{2}\rightarrow 8\div 2 \rightarrow \bf 4}}}[/tex]

[tex]\huge\boxed{\textsf{Option A.) answer: \bf 4}}[/tex]

[tex]\huge\textsf{Possible Option A. part II }\huge\boxed\downarrow[/tex]

[tex]\huge\boxed{\rm{\sqrt{64} = \sqrt{8\times8}= \bf 8}}\\\huge\boxed{\text{Possible answer for Option A. part II: \bf 8}}[/tex]

[tex]\huge\textsf{Option B }\huge\boxed\downarrow[/tex]

[tex]\huge\boxed{\rm{\sqrt{16}}}\\\huge\boxed{\rm{= \sqrt{4\times4}}}\\\huge\boxed{\rm{= \sqrt{16} \rightarrow \bold{4}\rightarrow 4\times4 \rightarrow \bf 16}}[/tex]

[tex]\huge\boxed{\textsf{Option B.) answer: \bf 4}}[/tex]

[tex]\huge\boxed{{\textsf{Based on the given information \boxed{\textsf{\bf NEITHER}} is}}}\\\huge\boxed{\textsf{the answer because it seems reasonable \& both}}\\\huge\boxed{\textsf{choices are very much equivalent to each other}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

We are given a line and a point, I assume that we want to see if the point is on the line or not.

We will see that the point does not belong to the line.

First, let's find the equation of the line.

A general line can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

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

Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:

[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]

Then our line is something like:

[tex]y = -\frac{13}{3} *x + b[/tex]

To find the value of b, we can use one of the two points that we know that are on the line.

For example, the point (-2, 4) means that when x = -2, we must have y = 4.

Replacing that in the equation we get:

[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]

Now we can write the line equation as:

[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]

Now we need to see if the point (14, -6) belongs to the line.

To see this, we evaluate the line in x = 14.

[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]

This is different than -6, so the point does not belong to the line.

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52 miles every 2 hours

52 / 2 = 26 miles every hour

[tex]\frac{1}{3} (26)=8\frac{2}{3}[/tex] miles every 1/3 hours

Answer: The go cart can travel [tex]8\frac{2}{3}[/tex] miles every 1/3 of an hour

Answer: x = 7

Step-by-step explanation:

5x + 7 = 42

We then take 7 away from both sides:

5x = 35

Then, we need to make it so x = answer. To make 5x into x, we divide by 5 meaning that we next need to divide both sides by 5.

x = 7

Answer:

24524

Step-by-step explanation:

Use the order of operations to solve

Answer:

32/7 or 32

            ----

             7

Step-by-step explanation: