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3 years ago

Use a number line to add or subtract. 3−(-1)=

Mathematics

1 answer:

Bogdan [553]3 years ago

8 0

Answer:

Step-by-step explanation:

rule 1 positive + positive= positive

rule 2 negative plus negative = negative

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An ice cream store sells 28 flavors of ice cream. Determine the number of 6 dip sundaes.

postnew [5]

Answer:

uuuummm 5?

Step-by-step explanation:

3 0

3 years ago

Karen Gaines invested $10,000 in a money market account with an interest rate of 1.75% compounded semiannually. Five years later

dezoksy [38]

Answer:

Karen withdrew $10,910.30

Step-by-step explanation:

To calculate the amount he withdrew, we shall be using the formula for compound interest.

Mathematically the amount withdrew A is calculated as follows;

A = I( 1 + r/n)^nt

Where I is the initial amount deposited = $10,000

r is the interest rate = 1.75% = 1.75/100 = 0.0175

n is the number of times per year in which interest is compounded which is 2 in this case since it is semi annually

t is the number of years = 5 in this case

Now plugging these values, we have;

A = 10,000(1 + 0.0175/2))^(2)(5)

A = 10,000(1.00875)^10

A = 10,910.269471264706

Which is approximately $10,910.30

8 0

4 years ago

Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They wor

zysi [14]

Answer: 19.65 hours

<u>Step-by-step explanation:</u>

Mike: $\frac{1}{x-1}\ \text{hours}$

Homer: $\frac{1}{x}\ \text{hours}$

The each work 7 hours plus Mike works 5 hours alone:

$7\bigg(\dfrac{1}{x-1}\bigg)+7\bigg(\dfrac{1}{x}\bigg)+5\bigg(\dfrac{1}{x-1}\bigg)=1\ job\\\\\\12\bigg(\dfrac{1}{x-1}\bigg)+7\bigg(\dfrac{1}{x}\bigg)=1\ job\\\\\\\bigg(\dfrac{12}{x-1}\bigg)+\bigg(\dfrac{7}{x}\bigg)=1\\\\\\(x)(x-1)\bigg(\dfrac{12}{x-1}\bigg)+(x)(x-1)\bigg(\dfrac{7}{x}\bigg)=1(x)(x-1)\\\\\\12(x) + 7(x-1)=x^2-x\\\\12x + 7x - 7 = x^2-x\\\\.\qquad \qquad \ \ 0=x^2-20x+7$

Use quadratic formula to solve for x:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\.\quad=\dfrac{-(-20)\pm \sqrt{(-20)^2-4(1)(7)}}{2(1)}\\\\.\quad=\dfrac{20\pm \sqrt{400-28}}{2}\\\\.\quad=\dfrac{20\pm \sqrt{372}}{2}\\\\.\quad=\dfrac{20\pm 19.3}{2}\\\\.\quad=10\pm9.65\\\\.\quad=19.65\quad or\quad 0.35$

We know that 0.35 cannot be a valid answer since it took at least 12 hours to complete the job.

So, Homer can get 1 job done in 19.65 hours.

5 0

3 years ago

Given that 1 inch = 2.54 cm, how many centimeters are there in 7 feet? Answers may be written using decimals form and should be

vodomira [7]

Answer:

There are 213.36 centimeters in 7 feet.

Step-by-step explanation:

It is given that:

1 inch = 2.54 cm

We have to find centimeters in 7 feet.

We will convert feet to inches.

1 feet = 12 inches

7 feet = 12*7 = 84 inches

Now,

1 inch = 2.54 cm

84 inches = 2.54 * 84

84 inches = 213.36 cm

Therefore,

There are 213.36 centimeters in 7 feet.

5 0

3 years ago

Which number line model represents the expression 3 and 1/2+ -6

Rus_ich [418]

Answer:

You move forward from 0 3.5 but since the number s negative, you then move back 6 spaces from 3.5 to get your answer.

8 0

3 years ago

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