A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
1. How much was the tip in dollars?
2. How much was the tip as a percentage of the bill?

Answer:

Please check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

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

where

Given the equation

[tex]y = 4x[/tex]

Here:

x represents the distance x the tortoise 'runs' in miles for y miles the hare runs.

comparing with the slope-intercept form of the line equation

The graph of the function is attached below.

As the hare runs 16 miles, so

y = 16 miles

so substitute y = 16 in the equation

y = 4x

16 = 4x

switch sides

4x = 16

divide both sides by 4

4x/4 = 16/4

x = 4

Therefore, when the hare runs 16 miles, the tortoise will run only 4 miles.

Please check the attached graph.

Answer:

11miles

Step-by-step explanation:

1mile≈1,61km

so 17/1,61=10,56≈11miles

Answer:

10.56 (rounded)

(whole number is 10.5633)

Step-by-step explanation:

1 kilometer = 0.62 miles (rounded)

Multiply it by 17

=10.56 (rounded)

(whole number is 10.5633)

Answer:

22.5

Step-by-step explanation:

SINCE Y VARIES DIRECTLY WITH X, WE USE THE FORMULA

y=kx; k representing the variable change, y= 7.5, x=5

> y=kx

>7.5= k(5) > 7.5= 5k

>k= 7.5/5    (divide to get the k)

k= 1.5

NOW REPLACE THE NEW VALUES OF X AND K AS THE VARIABLE CHANGE, TO FIND THE VALUE OF Y

>y=kx       ; k=1.5 and x=15    y=?

>y= (1.5)(15)

>y=22.5

the value of y is 22.5 when x is 15

Answer:

I don't believe they are similar. AA would be if the angles are equal or proportional. There would be lines indicating the sides to be equal, so not SSS theorem. For SAS, there's no equal sides or angles. So my best bet would be not similar

Answer:

1 is the answer

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

cos(x)=31/47

x=cos^-1 (31/47)

Step-by-step explanation:

use the law of cosine for right triangles cos(θ)= adjacent/ hypotenuse

cos(θ)=31/47=.659

θ=inverse cosine of .659

θ=48.73

The amount after 3 years will be $ 1509.9.

To learn more, check below explanation.

If the amount P is invested at the rate of r% for n years.

Then, the amount after n years is computed as;

Given that, Principal = 1250 , r = 6.5% and n = 3 years.

                   [tex]A=P(1+\frac{r}{100} )^{n}\\ \\A=1250(1+\frac{6.5}{100} )^{3} \\\\A=1250*(\frac{106.6}{100} )^{3}\\ \\A=\$ 1509.9[/tex]

Hence, the amount after 3 years will be $ 1509.9

Learn more about the compound interest here:

https://brainly.com/question/24924853

Answer:

Length of the bush after 2 months = 60 cm

Step-by-step explanation:

When the bush was planted in the garden, height of the bush = 20 cm

200% as tall as initial length = 2 times of the initial length

300% as tall as initial length = 3 times of the initial length

Therefore, after 2 months, length of the bush = 20 × 3

                                                                            = 60 cm

After 2 months, length of the bush is 60 cm.

Answer:

[tex]\frac{5}{16}[/tex]

Answer:

42123

Step-by-step explanation:

i think

Answer:

Test Score vs Student Height

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

$985

Step-by-step explanation:

$5400 x .025 = $135

$135 + $850 = $985

Answer:

80/8=10

Step-by-step explanation:

Answer:

[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)

Here

f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2

    = 8(2x + 3)³

Answer:

9 flowers per vase

Step-by-step explanation:

36 divided by 4 is 9

can i get brainliest plz

Answer:

First, let's do a fast definition of a function.

A function is a relation that maps elements from a given set (the domain, is the set of the inputs, usually represented with the variable x) into elements of another set (the range, which is the set of the outputs, usually represented with the variable y)

The functions can map each element of the domain into only one output.

Now, let's solve the problem:

For the vertical table, we can see that the values of x are:

{1, 2, 3} This is the domain.

And the values of y are:

{4, 6, 8} This is the range.

This relation represents a function.

For the horizontal table, we can see that:

The inputs are:

{4, 5}  (notice that the 4 is two times there) This is the domain.

And the outputs are:

{2, 3, 4} This is the range.

Here we can see that this relationship maps the input "4" into two different outputs, then this is not a function.

2)  We want to know if the graph represents a function.

The first thing we can see is that if we draw a vertical line in some places, the line will touch the graph at two different points. This means that one single value of x can be mapped into two different values of y.

And as we already said, a function maps each input into only one output, then the graph does not represent a function.

Answer:

617,580.56

Step-by-step explanation:

I'm going to assume that there will be only 1 payment made at the end of the loan and the interest is compounding  anually.

Using the compound interest formula we have

185000(1+.041)^30

Compute this and get

617580.56

Answer:

for a, 4a=6 in

a=6/4

a=3/2

a=1.5 in

for b, 4b=8 in

b=8/4

b=2 in

for c, 4c=10 in

c=10/4

c=5/2

c=2.5 in

Answer:

1) 6 (9x - 5)

2) 4 (1 + 6)

Step-by-step explanation:

1.

54x - 30

The greatest common factor is 6, hence take out 6

6 (9x - 5)

2.

4 + 24

The greatest common factor is 4, take out 4

4 (1 + 6)

*I am not simplifying this because as per what is given, I am unsure if one of these numbers is actually a coefficient.

Answer:

The area of the figure is 97 square inches

Step-by-step explanation:

In the given figure

To find the area of the figure we can find the area of the big rectangle with dimensions 7 inches and 19 inches and subtract from it the area of the small rectangle with dimensions 4 inches and 9 inches

∵ The area o the rectangle = length × width

∵ The dimensions of the big rectangle are 7 inches and 19 inches

∴ The width = 7 inches

∴ The length = 19 inches

→ Substitute them in the rule of the area above

∵ The area of the big rectangle = 19 × 7

∴ The area of the big rectangle = 133 inches²

∵ The dimensions of the small rectangle are 4 inches and 9 inches

∴ The width = 4 inches

∴ The length = 9 inches

→ Substitute them in the rule of the area above

∵ The area of the small rectangle = 9 × 4

∴ The area of the small rectangle = 36 inches²

→ Subtract the area of the small rectangle from the area of the big

   rectangle to get the area of the green figure

∵ The area of the figure = the big area - the small area

∴ The area of the figure = 133 - 36

∴ The area of the figure = 97 inches²

∴ The area of the figure is 97 square inches

Answer:

w = (t - 3)/7

Step-by-step explanation:

..............

Answer:

Not parallel.

Step-by-step explanation:

It would be parallel if its slope is also 3.

Calculate slope of line AB = y2 - y1 / x2 - x1

8 - (-2) / 3 - (-1) =

8 + 2 / 3 + 1 = 10/4 = 2.5

2.5 =/= 3, it wouldn't be parallel.

The line AB passing through the points A(- 1, - 2) and B(3, 8) is not parallel to a line having a slope of 3.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, Line AB passes through the points A(-1, -2) and B(3, 8).

We know lines parallel to each other have the same slope.

Therefore, The line passes through the points  A(-1, -2) and B(3, 8).

Slope(m) = (8 + 1)/(3 + 1).

Slope(m) = 9/4.

So, The AB is not parallel to a line having a slope of 3.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2)    ⇒   x₀ = -4,  y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

y + 2 = -⁵/₂x - 10         {subtract 2 from both sides}

y = -⁵/₂x - 12             ←  the slope-intercept form of the equation

Answer:

180 yards.

Step-by-step explanation:

80% of 225 = 180.

Answer:

Max mowed 180 Yards

Step-by-step explanation:

80 percent of 225 is 180

Answer:

76

Step-by-step explanation:

A full triangle is 180 *always remember

180-153=27

so r is 27

180-77-27=76

or you could do

77+27+x=180

104+x=180

x=180-104

x=76

Answer:

Step-by-step explanation:

here you go mate'

step 1

11 = y-6  equation

step 2

11+6=y-6+6  add 6 to the sides

answer

y=17

can i get brainliest if you dont mind?

Answer:

Choice D. 17

Step-by-step explanation:

For this we have to add 6 to both sides since we have to do the inverse (opposite) of what it says. So since it's - 6 we do + 6. Then we will get y = 17. Also when you add a negative and a positive they will no matter what number they are they will always cancel each other out, or in other words the become 0.

11 = y - 6

+6      +6

 17 = y

Answer:

w0hat kinda math is this

Step-by-step explanation: