Helen bought fabric for a tablecloth for $8.60 including tax. The sticker price was $7.92.

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

C.) 8.0%

Step-by-step explanation:

8.60/7.92= 0.68

0.68/8.60=0.079 which rounds up to 0.08

0.08= 8.0%

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Jaime drew the number line below to show 2/3 4/5. Explain how the number line shows 2/3 times 4/5. What is the product?

bearhunter [10]

Answer:

$\frac{2}{3} * \frac{4}{5} = \frac{6}{15}$

Step-by-step explanation:

Given

$\frac{2}{3} * \frac{4}{5} =$

The number line is missing from the question.

So, I will answer the question and also draw the number line to show the product.

$\frac{2}{3} * \frac{4}{5} =$

$\frac{2}{3} * \frac{4}{5} = \frac{6}{15}$

To represent this on a number line;

We draw a number line of 15 points, and place a dot on the 6th point.

This represents 6/15

See attachment

8 0

3 years ago

Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of

Alex17521 [72]

Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

$2(L+x)=16 \\ \\ \Rightarrow L+x=8 \\ \\ \Rightarrow x=8-L$

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

$L(8 - L) = 8L-L^2$

Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

$dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)$

3 0

3 years ago

The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.

Dmitry [639]

The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
$\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11$ %

women voters
$\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89$ %

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters