All categories

2 years ago

A city's sales tax is 0.07. Write this decimal as a fraction and tell how many cents of tax are on each dollar.

1 answer:

6 0

To transform decimal to fraction its easy to read decimal. So
0.07 is seven hundredths. Now we know that in the nominator should be seven and in the denominator 100.
So
$0.07= \frac{7}{100}$ . - the result

Now we have to multiply 0.07 by dollar.
0.07*1$=0.07$ = 7 cents - the result

You might be interested in

Which formula can be used to find the math term of a geometric sequence where the first term is 8 and the common ratio is -3?

kipiarov [429]

$a_n = 8(-3)^{n-1}$

That would be the formula you would use.

6 0

3 years ago

Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop

Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m= $\frac{-5--3}{-2--1}$

simplify

m= $\frac{-5+3}{-2+1}$

add

m= $\frac{-2}{-1}$

divide

m=2

So the slope is 2

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

-1=b (the value of the y intercept!)

Substitute -1 as b into the equation

y=2x-1

We found everything needed for this problem

Hope this helps!

8 0

3 years ago

4n+ 6 -2n = 2(n + 3) Please help me solve

Paraphin [41]

Answer is provided in the image attached.

5 0

3 years ago

Read 2 more answers

Which ordered pairs are solutions to the equation?

soldier1979 [14.2K]

To solve this you want to plug in your x's and y's to see if they match.

A. 3(11)-4=33-4=29 and 29 is not equal to 5 so A is not a solution

B.3(5)-4=15-4=11=11 3(3)-4=9-4=5 and 5 is not equal to 2 so B is not a solution

C. 3(2)-4= 6-4=2 2 is not equal to 3 so C is not a solution

D is the answer. 3(5)-4=11 and 3(2)-4= 2

6 0

3 years ago

WILL GIVE BRAINLIEST

EastWind [94]

Answer:

Let coordinates of vertex D be (x,y)

In parallelogram diagonals are bisect each other.

∴ Mid-point of AC= Mid-point of BD

⇒ (

3+(−6)

−4+2

)=(

−1+x

−3+y

)

⇒ (

−3

−2

)=(

−1+x

−3+y

)

⇒ (

−3

,−1)=(

−1+x

−3+y

)

Now,

⇒

−3

−1+x

⇒ −6=−2+2x

⇒ −4=2x

∴ x=−2

⇒ −1=

−3+y

⇒ −2=−3+y

⇒ 1=y

∴ y=1

∴ Coordinates of vertex D is (−2,1)

7 0

3 years ago