Write the first three terms of the sequence rule start at 2/3and add 1/2

Lu is making a quilt that is 20 squares wide and has 18 rows the border of the quilt is made by using each toy design equally as

mixer [17]

Answer:

The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.

Step-by-step explanation:

Width of the quilt Lu is making is 18 rows of 20 squares each.

Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.

We can also say there are 76 square as the boundary which are to be bordered with toy designs.

Each square can hold 1 design of toy and there are 6 different designs of toys.

Thus number of times each design is used $\frac{76}{6}$ = 12 $\frac{4}{6}$ .

Thus there are two designs used 12 times each and other four designs are used for 13 times each.

3 0

3 years ago

Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.

denis-greek [22]

Answer:

Lisa borrowed $8,500

Step-by-step explanation:

Simple Interest

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

$\displaystyle P=\frac{I}{rt}$

Substituting:

$\displaystyle P=\frac{170}{0.048*5/12}$

$\displaystyle P=\frac{170}{0.02}=8,500$

Lisa borrowed $8,500

8 0

2 years ago

Find the equivalent exponential expression. [(-4)^5]^3

Sunny_sXe [5.5K]

Answer:

$-4^{15}$

Step-by-step explanation:

Given expression:

$\left[(-4)^5\right]^3$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies (-4)^{(5 \times 3)}$

$\implies (-4)^{15}$

$\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:$

$\implies -4^{15}$

4 0

1 year ago

are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of

galben [10]

Answer:

The best estimate of the area of the larger figure is $693\ cm^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

so

$z=\frac{x}{y}$

we have

$x=12\ cm$

$y=9\ cm$

substitute

$z=\frac{12}{9}=\frac{4}{3}$ -----> the scale factor

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

so

$z^{2}=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=390\ cm^{2}$

substitute and solve for x

$(\frac{4}{3})^{2}=\frac{x}{390}$

$(\frac{16}{9})=\frac{x}{390}$

$x=390*16/9=693.33\ cm^{2}$

4 0

2 years ago

If a = b, then ac = bc. This is called the ________ ________ of equality. what is it?

aniked [119]

This is called the Multiplication property of equality.

The multiplication property of equality states that whatever you multiply on one side, you must multiply the same quantity on the other side of the equation. In this case, variable c is multiplied to both sides of the equation.

6 0

3 years ago